February 2, the temperature at 11 AM was 5°F. At
10 PM, it had dropped to 3°F. To find the number of
degrees the temperature dropped, which equation
could you use? Let x be the number of degrees the
temperature changed.

Answers

Answer 1

Answer: x = 2 degrees Fahrenheit

Step-by-step explanation:

5-3= 2 it’s a pretty simple equation


Related Questions

we would associate the term inferential statistics with which task?

Answers

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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She must determine height of the clock tower using a 1.5 m transit instrument (calculations are done 1.5 m above level ground) from a distance 100 m from the tower she found the angle of elevation to be 19 degrees. How high is the clock tower from 1 decimal place?

Answers

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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| x

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-------------

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|

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

how do i work this out please?

how do i work this out please?

Answers

Answer:

\(5 \sqrt{5} - 2 \sqrt{5} = 3 \sqrt{5} \\ 8 \sqrt{7} + 3 \sqrt{7} = 11 \sqrt{7} \)

hope this helps.

Answer:

\(11 \sqrt{7} \)

Step-by-step explanation:

\(8 \sqrt{7} + 3 \sqrt{7} \)

\( \sqrt{7} (8 + 3) \)

\(11 \sqrt{7} \)

PLEASE HELP I HAVE UNTIL TOMORROW

PLEASE HELP I HAVE UNTIL TOMORROW

Answers

Answer:

The answer is A. 10b = c

Step-by-step explanation:

Well if it's $10 per book and the total cost is C. Then you would multiply the amount of books with the cost per book and have it equal the the total C.

A line passes through (2, –1) and (8, 4).Write an equation for the line in point-slope form. Rewrite the equation in standard form using integers.
A. y – 2 = 5/6 (x + 1); –5x + 6y = 17
B. y + 1 = 5/6 (x – 2); –5x + 6y = –16
C. y – 1 = 5/6 (x – 2); –5x + 6y = 16
D. y + 1 = 5/6 (x + 2); –5x + 6y = –16

Answers

The equation of line passes through (2, -1) and (8, 4) in point-slope form and in standard form will be;

⇒ y + 1 = 5/6 (x - 2)

And,  - 5x + 6y = - 16

Option B is true.

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, -1) and (8, 4).

Now,

Equation of line is calculated as;

Slope of the line = (4 - (-1)) / (8 - 2)

                          = 5 / 6

So, The equation of line passing through the points (2, -1) and (8, 4) with slope 5 / 6 is;

⇒ y - y₁ = m (x - x₁)

⇒ y - (-1) = 5/6 (x - 2)

⇒ y + 1 = 5/6 (x - 2)

Hence, The equation of line in point-slope form is;

⇒ y + 1 = 5/6 (x - 2)

And, Solve the above equation for the standard form as;

⇒ y + 1 = 5/6 (x - 2)

⇒ 6 (y + 1) = 5 (x - 2)

⇒ 6y + 6 = 5x - 10

⇒ - 5x + 6y = -10 - 6

⇒ - 5x + 6y = - 16

Hence, The equation of line passes in standard form will be;

⇒ - 5x + 6y = - 16

Thus, The equation of line passes through (2, -1) and (8, 4) in point-slope form and in standard form will be;

⇒ y + 1 = 5/6 (x - 2)

And,  - 5x + 6y = - 16

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Write this number in expanded form. 268,741

Answers

Answer:

200000+60000+8000+700+40+1

Step-by-step explanation:

268,741

2 is in the hundred thousands place  200000

2 is in the ten thousands place  60000

8 is in the  thousands place  8000

7 is in the hundreds place 700

4 is in the tens place  40

1 is in the one place  1

Add these together

200000+60000+8000+700+40+1

Answer:

\((2\times100000)+(6\times10000)+(8\times 1000)+(7\times100)+(4\times10)+(1\times1)\)

Step-by-step explanation:

So we want to write 268,741 in expanded form.

To do so, first take a look at what each digit means starting from the right.

268,741

This means 1 1s.

268,741

This means 4 10s.

268, 741

This means 7 100s.

268,741

This means 8 1000s.

268,751

This means 6 10,000s.

and 268,751.

This means 2 100,000s.

Therefore, 268,741 is 2 100,000s plus 6 10,000s plus 8 1000s plus 7 100s plus 4 10s plus 1 1s.

In expression form, this would be:

\((2\times100000)+(6\times10000)+(8\times 1000)+(7\times100)+(4\times10)+(1\times1)\)

a rectangular prism is filled exactly with 248 cubes. the edge length of each cube is 12 cm. what is the volume of the rectangular prism?

Answers

The volume of the rectangular prism is 428,544 cubic cm.

To find the volume of the rectangular prism, we can start by determining the dimensions of the prism.

Let's assume the length, width, and height of the prism are L, W, and H, respectively.

Given that the rectangular prism is filled exactly with 248 cubes, we can express the total number of cubes as the product of the length, width, and height of the rectangular prism:

\(L \times W \times H = 248\)

Since each cube has an edge length of 12 cm, the volume of one cube can be calculated as follows:

Volume of one cube \(= (12 cm) \times (12 cm) \times(12 cm)\)

Volume of one cube \(= 1728 cm^3\)

Now, we can set up the equation based on the given information:

\(L \times W \times H = 248 \times Volume of one cube\)

\(L \times W \times H = 248 \times 1728 cm^3\)

To find the volume of the rectangular prism, we need to calculate the right side of the equation:

\(248 \times1728 = 428,544 cm^3\)

Therefore, the volume of the rectangular prism is \(428,544 cm^3\).

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A student wonders if people of similar heights tend to date each other. She measures herself, her dormitory roommate, and the women in the adjoining rooms, then she measures the next man whom each woman dates. Here are the data (heights in inches): Women: 64 65 65 66 66 70 Men: 68 68 69 70 72 74 Determine whether each of the following statements is true (T) orfalse (F). (a) If we had measured the heights of the men and women in centimeters (1 inch= 2.54 cm), the correlation coefficient would have been 2.54 times larger. (b) There is a strong negative association between the heights of men and women because women are always smaller than the men they date. (c) There is a positive association between the heights of men and women.

Answers

Answer:

(a) False

(b) False

(c) True

Step-by-step explanation:

(a) If we had measured the heights of the men and women in centimeters (1 inch= 2.54 cm), the correlation coefficient would have been 2.54 times larger.

No, since changing the units of measurement does not change the correlation coefficient

(b) There is a strong negative association between the heights of men and women because women are always smaller than the men they date.

Negative association means that as one variable increases, the other decreases, Here, we see that as the heights of the men increase, the height of the women do not reliably decrease, hence there is no strong negative asscoiation

(c) There is a positive association between the heights of men and women.

We see from the values given that as the heights of men increase, so do the heights of women and vise versa, so there is a positive association between the heights of men and women

are we confident that the percentage of contra costa county residents that supports a ban is greater than the percentage nationwide as reported by the pew research center? why or why not?

Answers

To determine if the percentage of Contra Costa County residents supporting a ban is greater than the nationwide percentage reported by the Pew Research Center, we need to follow these steps.

1. Obtain the Pew Research Center's report on the nationwide percentage of people supporting a ban.
2. Gather data on the percentage of Contra Costa County residents supporting the ban. This data could come from local surveys, polls, or other relevant sources.
3. Compare the two percentages to see if the Contra Costa County percentage is greater than the nationwide percentage.

If the Contra Costa County percentage is greater than the nationwide percentage, we can be confident that a higher proportion of county residents support the ban. However, it is important to note that survey results may vary based on the sample size, methodology, and timing of the polls. To draw more accurate conclusions, it's essential to consider multiple sources of data and ensure the reliability of the information being used.

In summary, to confidently assert that the percentage of Contra Costa County residents supporting a ban is greater than the nationwide percentage, we must gather local data and compare it to the Pew Research Center's report. The reliability of this conclusion depends on the accuracy and representativeness of the data used.

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Is it 1 2 3 or 4? I need to know

Is it 1 2 3 or 4? I need to know

Answers

Answer:

I think it is 1

I'm almost positive

Non of those answers seem right bc 5(1/3) = 1.66666 and 3(2/5)=1.2 and 3(3/7)=1.2857 so I guess they aren’t proportional.

A radio transmission tower is 160 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is to make an angle of 29\deg with the ground? Give your answer to the nearest tenth of a foot.

Answers

x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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Veronica wants to calculate her net pay at her new job. Her weekly paycheck is $229.09. She has the following deductions: Social Security tax, Medicare tax, $64.14 federal withholding tax, $29.78 state withholding tax. Calculate her net pay after deductions.​

Answers

Answer:

whats the answer

Step-by-step explanation:

Given the absolute value function j(x) = |x|, what's the equation that results from translating j(x) right 8 units and up 6 units? Question 9 options: A) j(x) = |x – 8| + 6 B) j(x) = |x + 8| – 6 C) j(x) = |x – 6| + 8 D) j(x) = |x + 8| + 6

Answers

The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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A situation in which conclusions based upon aggregated crosstabulation are different fromunaggregated crosstabulation is known asa.wrong crosstabulationb.Simpson's rulec.Simpson's paradoxd.aggregated crosstabulationANS: C

Answers

A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.

Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.

It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.

This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.

It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.

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Help Julie has the boxes of pens

Help Julie has the boxes of pens

Answers

Answer:

A=C+16

Step-by-step explanation:

Three lorries each making five trips per day transport 2500 crates from a factory to a distributor in two days .how many lorries each making 6 trips a day are needed to transport 10000 such crates in a day

Answers

Answer:

20 lorries are needed to transport.

Mark brainliest

Three lorries each making five trips per day transport 2500 crates from a factory to a distributor in

Answer:

14day

Step-by-step explanation:

lorries trip per day. crates

3. 5 2500

? 6 10000

(6×3×10000)÷(5×2500)=14days

What is the area of this triangle? A=bh2 a-54 cm² b-90 cm² c-108 m² d-216 m² 15 cm 12 cm Cm^2

Answers

Answer: To find the area of a triangle, we can use the formula:

Area = (base * height) / 2

Given the measurements:

Base (b) = 15 cm

Height (h) = 12 cm

Substituting these values into the formula:

Area = (15 cm * 12 cm) / 2

Area = 180 cm² / 2

Area = 90 cm²

Therefore, the area of the triangle is 90 cm².

The area of an 19-cm-wide rectangle is 456 cm2. What is its length? The length is .......cm.

Answers

The area of a rectangle is given by:

\(\begin{gathered} A=w\times l \\ \text{where:} \\ A=\text{Area}=456 \\ w=\text{width}=19 \\ l=\text{length} \\ 456=19\times l \\ l=\frac{456}{19} \\ l=24\operatorname{cm} \end{gathered}\)

For each of the following equations, • find general solutions; solve the initial value problem with initial condition y(0)=-1, y'0) = 2; sketch the phase portrait, identify the type of each equilibrium, and determine the stability of each equilibrium. (a) 2y" +9y + 4y = 0 (b) y" +2y - 8y=0 (c) 44" - 12y + 5y = 0 (d) 2y" – 3y = 0 (e) y" – 2y + 5y = 0 (f) 4y" +9y=0 (g) 9y' +6y + y = 0

Answers

(a) y(x) = c1 e^(-4x/3) cos(2x) + c2 e^(-4x/3) sin(2x), stable node at the origin;

(b) y(x) = c1 e^(2x) + c2 e^(-4x), unstable node at the origin;

(c) y(x) = c1 e^(-x/22) cos(sqrt(119)x/22) + c2 e^(-x/22) sin(sqrt(119)x/22), stable node at the origin;

(d) y(x) = c1 e^(sqrt(3)x/2) + c2 e^(-sqrt(3)x/2), unstable saddle at the origin;

(e) y(x) = c1 e^x cos(2x) + c2 e^x sin(2x), stable spiral at the origin;

(f) y(x) = c1 cos(3x/2) + c2 sin(3x/2), stable limit cycle around the origin;

(g) y(x) = c1 e^(-x/3) + c2 e^(-x), stable node at the origin.

(a) The characteristic equation is 2r^2 + 9r + 4 = 0, with roots r1 = -4/3 and r2 = -1/2. The general solution is y(x) = c1 e^(-4x/3) cos(2x) + c2 e^(-4x/3) sin(2x). The equilibrium at the origin is a stable node since both eigenvalues have negative real parts.

(b) The characteristic equation is r^2 + 2r - 8 = 0, with roots r1 = 2 and r2 = -4. The general solution is y(x) = c1 e^(2x) + c2 e^(-4x). The equilibrium at the origin is an unstable node since both eigenvalues have positive real parts.

(c) The characteristic equation is 44r^2 - 12r + 5 = 0, with roots r1 = (3 + sqrt(119))/22 and r2 = (3 - sqrt(119))/22. The general solution is y(x) = c1 e^(-x/22) cos(sqrt(119)x/22) + c2 e^(-x/22) sin(sqrt(119)x/22). The equilibrium at the origin is a stable node since both eigenvalues have negative real parts.

(d) The characteristic equation is 2r^2 - 3 = 0, with roots r1 = sqrt(3)/2 and r2 = -sqrt(3)/2. The general solution is y(x) = c1 e^(sqrt(3)x/2) + c2 e^(-sqrt(3)x/2). The equilibrium at the origin is an unstable saddle since the eigenvalues have opposite signs.

(e) The characteristic equation is r^2 - 2r + 5 = 0, with roots r1 = 1 + 2i and r2 = 1 - 2i. The general solution is y(x) = c1 e^x cos(2x) + c2 e^x sin(2x). The equilibrium at the origin is a stable spiral since both eigenvalues have negative real parts and non-zero imaginary parts.

(f) The characteristic equation is 4r^2 + 9 = 0, with roots r1 = 3i/2 and r2 = -3i/2. The general solution y(x) = c1 cos(3x/2) + c2 sin(3x/2), stable limit cycle around the origin.

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an attorney charges a fixed fee for an initial meeting and an hourly fee for all hours worked after this meeting. the attorney charges $850 for an initial meeting and $250 per hour. which equation represents the relationship between h, the number of hours, and c, the total cost?

Answers

The equation which represents the relationship between 'h' the number of hours, and c, the total cost is y = 250x+850.

How to write equation of straight line?

A straight line equation is a mathematical equation that describes the relationship between the coordinate points on that straight line. It can be written in several ways and indicates the slope, x-intercept, & y-intercept of a line.

A straight line's general equation is y = mx + c, in which m is the gradient and y = c is the value at which the line intersects the y-axis. The above number c is known as the y-axis intercept. A straight line with gradient m as well as intercept c on the y-axis has the equation y = mx + c.

Now, as per the given question;

The attorney charges price for an initial meeting = $850.

And, the charges for each hour is = $250.

Thus, the equation which shows the given situation is-

y = 250x + 850.

In which, 250 is the value of the slope 'm'.

The y- intercept is shown by 850.

Thus, the total cost will be found out by equation  y = 250x+850.

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a pharmaceutical company wants to conduct a survey of 40 individuals who have high cholesterol. the company has obtained a list from primary care physicians throughout the country of 6800 individuals who are known to have high cholesterol. design a sampling method to obtain the individuals in the sample. be sure to support the choice. question content area bottom part 1 what sampling​ method(s) is/are​ valid? select all that apply.

Answers

The valid sampling method(s) for obtaining a sample of individuals with high cholesterol from the list provided are simple random sampling, stratified sampling, and cluster sampling.

- Simple random sampling: This method involves randomly selecting 40 individuals from the list of 6800 individuals.

- Stratified sampling: This method involves dividing the list of 6800 individuals into different strata  based on relevant characteristics.

- Cluster sampling: This method involves dividing the list of 6800 individuals into smaller clusters (e.g., primary care physician offices or geographical areas).

This method is useful when it is difficult or costly to reach individuals scattered across a wide area.

Each of these methods has its advantages and disadvantages, so the choice depends on the specific needs and constraints of the pharmaceutical company.

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100 points need answer asap!!
y=x-7
y=x+7
solve for x and y

Answers

Answer:7 sry if this is not correct but that is the answer

Step-by-step explanation:

x=7-y             y-x=7

2y-7=7          x= 7-y

y=7              x=7-y

x=0              y=7

x= 7

here is  your answer

Which number line represents the solutions to –2|x| = –6?

Answers

Answer:

The number line that represents the solutions to –2|x| = –6 is:

```

-----------o----o-------------

-3 0 3

```

The solution is |x| = 3, which means x can be either -3 or 3. The absolute value bars indicate that the value inside must be positive or zero, so the negative solution is flipped to positive.

Jennifer made these measurements on ABC,BC must be-?

Jennifer made these measurements on ABC,BC must be-?

Answers

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Round to 1 significant figure:

Round to 1 significant figure:

Answers

The rounded number to 1 significant figure is 10000m.

Significant figures are a way of indicating the precision of a measurement or calculation. They represent the digits in a number that are known with certainty, plus one additional digit that is estimated. The rules for determining significant figures include:

Non-zero digits are always significant.Zeros between non-zero digits are significant.Leading zeros (zeros before the first non-zero digit) are not significant.Trailing zeros (zeros at the end of a number, after the last non-zero digit) are significant if there is a decimal point.

Significant figures are important because they allow us to communicate the accuracy and precision of a measurement or calculation. By using the appropriate number of significant figures, we can avoid misleading others with inaccurate or imprecise information.

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The Earth's atmosphere is divided into layers including the troposphere, stratosphere, mesosphere, etc. The troposphere is the layer that is closest to the Earth's surface. The distance from Earth and the troposphere's temperature have a negative association. Interpret the meaning of the negative association with respect to the temperature. As you move closer to the Earth, the temperature decreases. As you move away from the Earth, the temperature increases. As you move closer to the Earth, the temperature remains the same. As you move away from the Earth, the temperature remains the same. As you move away from the Earth, the temperature decreases.

Answers

Answer:E

Step-by-step explanation:

just took the test

The atmosphere is divided into five different layers, based on temperature.

Which layer of the atmosphere is divided into layers?The graphic below illustrates how the layers of the atmosphere can be separated based on temperature.The troposphere, stratosphere, mesosphere, and thermosphere are those layers.The exosphere is a different zone that starts roughly 500 km above the surface of the Earth. Based on temperature, the atmosphere is separated into five distinct strata.The troposphere, which is located between five and ten miles (or seven and 15 kilometers) above Earth's surface, is the layer that is closest to the surface.The troposphere is significantly thinner near the North and South Poles than it is at the equator. The atmosphere of Earth includes five primary layers and a number of minor ones.The troposphere, stratosphere, mesosphere, thermosphere, and exosphere are the primary layers, in order from lowest to highest.Troposphere.

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What is the total cost to the nearest cent? $14.30 watch; 6.75% tax

Answers

Answer:

$15.27

Step-by-step explanation:

The answer of this question is 15.27

Is this congruent or not congruent? And is this
SSS
SAS
SSA
AAS
ASA
HL
PLEASE HELP, I will brainliest u

Is this congruent or not congruent? And is this SSSSASSSAAASASAHL PLEASE HELP, I will brainliest u

Answers

It's congruent by AAS

Answer: Answer is SSS ok

What was the upper quartile of the number of newspaper deliveries?

What was the upper quartile of the number of newspaper deliveries?

Answers

Answer:

45

Step-by-step explanation:

It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left

Answer:

67.5 is the upper quartile

what is 1 and 2/5 as an improper fraction

Answers

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Other Questions
in order to classify a cell as prokaryotic or eukaryotic, it must be determined if the cell ":___. Describe an instance in which you and a coworker (or superior) perceived the needs of a customer very differently. How did your differences in perception influence how each of you wanted to meet your customers needs? El Sr. Milton Escobar se presenta al banco de los Trabajadores de Tegucigalpa a constituir un depsito a Plazo Fijo #2250 a 6 meses por L100,000. 00 al 10. 5% de inters anual entregando el valor total con cheque #0045 a cargo del mismo banco. Haga la partida de apertura HW4: Problem 8 (1 point) Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: = g" + 1g = sin(Tt)0 i will give u brianliest! Find the area of the blue shaded region in the figure.A)70 in?B)290 in 2C)360 in?D)430 in? The graph of f(x) is shown below. - NW544 -3 (0.6) 2 1 -6-5-4-3-2-11 7 7 7 7 9 9 2 4 1 2 3 4 5 6 x If f(x) and its inverse function, f(x), are both plotted on the same coordinate plane, where is their point of intersection? BIKO Plc is a large company which specialises in the manufacture of smart phones. The company was first established in 1970 by two brothers who subsequently listed it on the London Stock Exchange in 1980. In the year 2000, BIKO Plc developed a smart phone called the BIKO phone and every 2 years they upgrade it by adding applications and functions which have made it every individual's necessity. In a market dominated by only 5 smart phone companies, the BIKO phone has become the best-selling smart phone in the world, with a market share of about 75%. From its listing until about 2005, BIKO Plc never paid a dividend. Their finance director at the time, Mrs Delroy, initially argued that shareholders were not interested in dividends. Many of these shareholders were institutions. However, in 2010 Mrs Delroy was replaced by Mr Helliar, and he argued that "time was ripe for BIKO Plc to start to pay dividends". He also pointed the board of directors to BIKO Plc's competitor Mars Plc which had always paid a dividend ever since its listing on the London Stock Exchange in 1990. Mr Helliar said: "We cannot continue to pretend that dividends do not matter. If a small company like Mars Plc can pay dividends surely, we should be able to do so. We have established ourselves very well and none of our competitors pose a meaningful threat". BIKO Plc's past financial information is given below:BIKO Plc2005 2006 2007 2008 2009 2017 2018 2019 2020 2021mProfit Before Tax 75 96 88 122 145 240 270 441 570 425Dividends 18 26 17 12 22 72 86.4 104 345 82.8Investments in Assets 22 36 48 72 83 15 20 22 23 21No of Issued Shares 30 30 30 30 30 45 45 45 25 25Share Price 2.8 4.3 5.7 7.4 9.1 15.3 16.6 15.2 23.8 19.3Gearing (Debt/(Debt+Equity) 68% 61% 58% 41% 35% 38% 32% 34% 56% 51%Additional Information: BIKO Plc has consistently paid a corporation tax of 20% per annum throughout the whole period.Required:a) Identify and analyse the dividend policies that have been pursued by BIKO Plc from 2005 to 2009 and 2017 to 2021. What reasons could have driven the company to adopt such policies? Show relevant calculations to support your analysis.b) Calculate the forecast dividend capacity of BIKO Plc for 2022.c) Using relevant theory, evaluate the views expressed by the former and current finance directors about BIKO Plc's dividend considerations Juliette spends $48 each month on Oreo cookies (which cost $2 per package) and salt and vinegar chips (which cost $3 per bag). a. With chips on the horizontal axis, draw Juliette's budget constraint, making sure to indicate the horizontal and vertical intercepts. b. Suppose that at current prices, Juliette purchases 6 bags of chips each month. Draw an indifference curve tangent to Juliette's budget constraint consistent with this choice (assume Juliette is maximizing her utility). Label her chosen bundle with the letter A. How many packages of Oreos does Juliette buy, you can determine this using Juliette's budget constraint? c. Suppose that the price of chips falls to $2 per bag, and Juliette increases her chip consumption to 8 bags each month. Draw Juliette's new budget constraint and indicate her chosen bundle with an appropriately drawn indifference curve. Label her utilitymaximizing bundle with the letter B. How many packages of Oreos does Juliette optimally buy now? d. A major chip producer has experienced a fire, and the disruption of supply has caused the price of chips to increase to $4. As a result, Juliette cuts her consumption of chips to 5 bags per month. Draw Juliette's new budget constraint and indicate her chosen bundle with an appropriately drawn indifference curve. Label her utility-maximizing bundle with the letter C. Again, how many packages of Oreos does Juliette optimally buy now? e. Use your answers to parts (b)-(d) to draw Juliette's demand for chips next to the indifference curve map. Indicate her quantities demanded at prices of $2,$3, and $4. Is there an inverse relationship between price and quantity demanded? Outline two reasons why resource consumption is low in somecountries 29. Mr. Ignado gave 4 orange erasers and 5 green erasers to each of the20 students in his class. How many erasers did Mr. Ignado give to hisstudents? Imagine that each of the three containers in Model 2 contains krypton atoms. The atomic radius of a krypton atom is 88.00 pm. Assuming the atom is a solid sphere, calculate the volume of one krypton atom in liters. state the factor that is limiting the rate of photosynthesis in region x of the graph 14 POINTSWhat is the sub-genre of Social Thriller? What makes it different from other thrillers/horror? Sally had some marbles. After buying 12 more marbles, she had 25 marbles. Write and solve an equation to show how many marbles Sally had before she bought more. A manager recorded the numbers of bags of potatoes sold at each of two stores over the last month. the manager created this box plot, which displays a summary of other data. the interquartile range of the number of bags sold is the same for each store. bags of potatoes sold stores f store v 1 h 0 5 10 15 20 25 30 35 40 number of bags express the difference between the medians of each data set as a multiple of the interquartile range. select from each drop-down menu to correctly complete each sentence. the median number of bags of potatoes sold at store s is about choose... than the median choose 2 fewer number of bags of potatoes sold at store v. 5 fewer 10 fewer 2 more 5 more 10 more times the interquartile range of the this difference between the medians is about choose.. choose... number of bags sold from either store. 0.33 0.67 2 3 Ski magazine conducts and annual survey of readers to rate ski resorts. They used the following attributes as the basis for the survey: snow, grooming, terrain variety, challenge, value, lifts, service, weather, access, on-mountain food, lodging, dining, aprs-ski, off-hill activities, family programs, scenery, terrain parks, and overall satisfaction. Classify each of these attributes using the eight dimensions of quality (i.e., performance, features, etc.). Write the equation in factored form, of a parabola that has a vertex of (1,-16) and passes through the point (3, -12) does anyone have 2 paragraphs on why cloning is risky? ill mark brainliest & in ur own words pleasee :) Solve m(2m+5) = 3. pls pls pls pls pls pls