how do you solve this ​

Answer:

y = -5/3x + 20

Step-by-step explanation:

y = -5/3x + b

-5 = -5/3(15) + b

-5 = -25 + b

20 = b

y = -5/3x + 20

Answer:

In other words.. The fourth option D.

Step-by-step explanation:

EDGE2022

i like your cut g

The probability that a randomly selected Manhattan resident spends New Year's Eve at Times Square, given that the resident is out of town on New Year's Eve, is 0.

If the resident is out of town on New Year's Eve, it implies that they are not present in Manhattan during that time. Therefore, it is not possible for them to spend New Year's Eve at Times Square if they are not in town.

Since the resident is out of town, the probability of them being at Times Square on New Year's Eve is zero. Probability is a measure of the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain). In this case, the event of a resident being at Times Square on New Year's Eve is impossible because they are out of town.

Hence, the probability of a randomly selected Manhattan resident spending New Year's Eve at Times Square, given that they are out of town on New Year's Eve, is 0.

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Answer:

B= 180-63

= 117°

E= 117°

Alternating angles are equal

Answer:

The fraction is 11/100

percentage missed = 89%

Step-by-step explanation:

percentage scored = 11/100 * 100/1 = 11%

subtract percentage scored from 100%

percentage missed =100% - 11% = 89%

Answer:

i think its the last one

Step-by-step explanation:

i think its the last on ig

The true statements from the given statements are -

Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.

Given is a triangle as shown in the image.

It is clear that the measure of ∠MNP is less than ∠ONP as

∠MNP = 38°  <   ∠ONP = 39°

The line NP ≅ NP as it is common to both sub - triangles and has same length.

OP > PM since ∠ONP = 39° > ∠MNP = 38°

Therefore, the true statements from the given statements are -

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The one-day VaR of a $50 million portfolio with a daily standard deviation of 2% at a 95% confidence level is $1.65 million.

The VaR at a specific confidence level represents the maximum expected loss within a certain time frame. In this case, we are interested in the one-day VaR at a 95% confidence level.

The formula to calculate VaR is:

VaR  = Portfolio Value * z * Daily Standard Deviation

Where:

- Portfolio Value is the value of the portfolio ($50 million in this case).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.645.

- Daily Standard Deviation is the daily standard deviation of the portfolio returns (2% in this case).

Plugging in the values into the formula:

VaR = $50,000,000 * 1.645 * 0.02

VaR ≈ $1,645,000

Therefore, the one-day VaR of a $50 million portfolio with a daily standard deviation of 2% at a 95% confidence level is $1.65 million.

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If all use of ozone-depleting chemicals is stopped, it would take about 60 years for Earth's stratospheric ozone layer to recover.

Ozone-depleting chemicals, such as chlorofluorocarbons (CFCs), have been widely used in various industrial and consumer products. These chemicals have the potential to break down ozone molecules in the stratosphere, leading to the thinning of the ozone layer. The ozone layer plays a crucial role in filtering harmful ultraviolet (UV) radiation from the sun.

Once the use of ozone-depleting chemicals is stopped, the ozone layer has the potential to recover over time. The estimate of approximately 60 years is based on scientific studies and models that take into account the atmospheric lifetime of ozone-depleting substances and the natural processes involved in ozone regeneration. However, it is important to note that the recovery time may vary depending on various factors, such as the effectiveness of global efforts to reduce ozone-depleting substances and natural climate variations.

Therefore, the most appropriate answer is c. 60 years, as it reflects a reasonable estimate for the recovery of Earth's stratospheric ozone layer after the cessation of ozone-depleting chemical use.

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The calculated value of the probability P(yellow) is 0.5 i.e. one half

From the question, we have the following parameters that can be used in our computation:

Sections = 2

Color = yellow, and green

Using the above as a guide, we have the following:

Yellow = 1

When the yellow section is selected, we have

P(yellow) = yellow/section

The required probability is

P(yellow) = 1/2

Evaluate

P(yellow) = 0.5

Hence, the value is 0.5

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Answer:

D. 1x9x4

Step-by-step explanation:

V= l x w x h

Answer:

a=0.5 in

b=1.14 in

c=3.74 in

Step-by-step explanation:

The function to model the water used by the car wash on a shorter day is (C) \(4x^{3} +7x^{2} -14x-6\).

To find the function to model the water used by the car wash on a shorter day:

Given that the amount of water used on normal days is given by the equation:

The amount of decrease in water used is modeled by the equation:

To get the function \(C(x)\) that models the water used by the car wash on a shorter day you subtract equation (2) from equation (1).

Therefore, the function to model the water used by the car wash on a shorter day is (C) \(4x^{3} +7x^{2} -14x-6\).

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The correct question is shown below:

The water usage at a car wash is modeled by the equation w(x) = 5x3 9x2 − 14x 9, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day.

(A) c(x) = 5x3 7x2 − 14x − 6

(B) c(x) = 4x3 7x2 − 14x 6

(C) c(x) = 4x3 7x2 − 14x − 6

(D) c(x) = 5x3 7x2 − 14x 6

The length of the rectangular garden is 23 feet.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that,

Length of the rectangular garden is 5 feet longer than its width.

Let w be the width of the rectangle.

Then w + 5 is the length of the rectangle.

Area of a rectangle = Length × Width

Area is given as 414 square feet.

(w + 5) w = 414

w² + 5w - 414 = 0

Factorizing,

(w - 18) (w + 23) = 0

w - 18 = 0, then w = 18

w + 23 = 0, then w = -23

w = -23 is not possible for the width.

So w = 18 feet

Length of the rectangle = w + 5 = 18 + 5 = 23 feet

Hence 23 feet is the length of the rectangle.

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Answer:

.

Step-by-step explanation:

Answer:

Babysitting your cousins

Step-by-step explanation:

Becauss 15/1.5 is 3. And 60/8 is 7.5

The mathematical expressions to determine the product or quotient in scientific notation are matched below;

\((3.8 \times 10^3 )\: \times (9.4 × 10^-5)\) \( = 3.6 \times {10}^{ - 1} \)

\((4.2 \times 10^7) \times (7.4 \times 10^-2) \) \( = 3.1 \times {10}^{6} \)

\( \frac{(8.6 \times 10^-6) \times (7.1 \times 10^ - 9)}{(4.1 \times 10^ -2) \times ( 2.8 \times 10 ^-7)} \) \( = 5.3 \times {10}^{ - 6} \)

\( \frac{(6.9 \times {10}^{ - 4}) \times (7.7 \times {10}^{ - 6}) }{(2.7 \times {10}^{ - 2}) \times (4.7 \times {10}^{ - 7} ) } \) \( = 4.2 \times {10}^{ - 1} \)

1.

\((3.8 \times 10^3 )\: \times (9.4 × 10^-5)\)

multiply the base and add the powers

\( = (3.8 \times 9.4) \times {10}^{3 + ( - 5)} \)

\( = 35.72 \times {10}^{ - 2} \)

\( = 3.6 \times {10}^{ - 1} \)

2.

\((4.2 \times 10^7) \times (7.4 \times 10^-2) \)

multiply the base and add the powers

\( = (4.2 \times 7.4) \times {10}^{7 + ( - 2)} \)

\( = 31.08 \times {10}^{5} \)

\( = 3.1 \times {10}^{6} \)

3.

\( \frac{(8.6 \times 10^-6) \times (7.1 \times 10^ - 9)}{(4.1 \times 10^ -2) \times ( 2.8 \times 10 ^-7)} \)

solve the numerator and denominator separately

\( = \frac{(8.6 \times7.1) \times {10}^{ - 6 - 9} }{(4.1 \times 2.8) \times {10}^{ - 2 - 7} } \)

\( = \frac{61.06 \times {10}^{ - 15} }{11.48 \times {10}^{ - 9} } \)

\( = (61.06 \div 11.48) \times {10}^{ - 15 + 9} \)

\( = 5.3 \times {10}^{ - 6} \)

4.

\( \frac{(6.9 \times {10}^{ - 4}) \times (7.7 \times {10}^{ - 6}) }{(2.7 \times {10}^{ - 2}) \times (4.7 \times {10}^{ - 7} ) } \)

\( = \frac{(6.9 \times 7.7) \times {10}^{ - 4 - 6} }{(2.7 \times 4.7) \times {10}^{ - 2 - 7} } \)

\( = \frac{53.13 \times {10}^{ - 10} }{12.69 \times {10}^{ - 9} } \)

\( = (53.13 \div 12.69) \times {10 }^{ - 10 + 9} \)

\( = 4.2 \times {10}^{ - 1} \)

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Out of the three dependent variables in the given data set, gender and age are the ones for which mean should be reported as an answer. Therefore, the correct option is E.

Mean is defined as the average of all the values in a dataset. It is calculated by summing up all the values and then dividing them by the total number of values. Mean is a common measure of central tendency that is often used in statistics. Mean is used to describe the average value of a dataset.

A dependent variable is the variable that is being measured or tested in an experiment. It is the variable that is expected to change in response to the independent variable. In other words, it is the variable that depends on the independent variable. The given data set has three dependent variables: gender, age, and ethnicity. Out of these three variables, mean should be reported for gender and age only. Therefore, the correct answer is E. A and C.

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The number of sides equals the number of the line of symmetry. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be

In a regular polygon, the amount of symmetry lines is equal to the total of sides.

Then the correct option is B.

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Answer:

B They are the same value!

Step-by-step explanation:

Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)

One effect of chunking is to increase the amount of material that can be held in working memory (option d).

Chunking is a cognitive process that involves organizing and grouping information into meaningful units or "chunks." By grouping individual elements together, such as numbers, letters, or words, into larger chunks, the capacity of working memory can be effectively utilized.

This allows for the storage and processing of more information simultaneously, enhancing the overall cognitive capacity. Chunking helps overcome the limited capacity of working memory by reducing cognitive load and making information more manageable.

It facilitates the organization and retrieval of information, improving memory performance and the ability to process and retain complex information more efficiently. Thus, the primary effect of chunking is to increase the amount of material that can be held in working memory.

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Answer:

3^x+12x-4

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) = 3^x + 10x + 2x - 4 = 3^x + 12x - 4

Step-by-step explanation:

248 min i think hope it helps

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The money earned by Jutine in the month of September is $133.

According to the question,

We have the following information:

Jutine charges $6 an hour for mowing lawn and $11 for pulling weed. In September he mowed lawn for 13 hour and pulled weed for 5 hour.

Now, the amount earned by mowing the lawn can be found using multiplication:

6*13 = $78

Now, we have the amount earned by pulling weeds by using the same concept:

11*5 = $55

Now, the total money earned in September:

$(78+55)

$133

Hence, the money earned by Jutine in the month of September is $133.

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Answer:

3x²y==

Step-by-step explanation:

Multiple the number

Answer:

it will take her 79.76 minutes to rise to the surface

Step-by-step explanation:

Total distance to the surface = 40 yards

speed of rising = 1 foot per seconds

1 foot = 1 second

since the total distance is in yards, let's convert from foot to yards:

1 yard = 3 feet

1 foot = 1/3 yards = 0.333 yards

0.33 yards = 1 second

Next, let's convert from seconds to minutes

60 seconds = 1 minute

∴ 1 second = 1/60 minute

1 second = 0.0167 minute

Therefore the speed at which she rose:

speed

0.333 yards = 0.0167 minutes

Now for a distance of 40 yards:

\(1\ yard = \frac{0.0333}{0.0167} minutes\\\therefore\ 40\ yards = \frac{0.0333}{0.0167} \ \times\ \frac{40}{1} \\= \frac{1.332}{0.0167} \\= 79.76\ minutes\)

Answer:

4 minutes

Step-by-step explanation:

Answer: First, we need to find the coordinates of points P and Q. Since both P and Q lie on the line 3x + 4y + 15 = 0 and are equidistant from the origin, we can set up two equations:

3x + 4y + 15 = 0 (equation of the line)

x^2 + y^2 = 5^2 (equation of the circle with radius 5)

Solving these two equations simultaneously, we get:

x = -3, -12/5

y = -4, 3/5

Since P and Q lie on the same line, we can find the midpoint of PQ as:

(((-3) + (-12/5))/2, ((-4) + (3/5))/2) = (-33/10, -37/10)

Let O be the origin. Then the length of PO is the distance between O and P, which is:

sqrt((-3 - 0)^2 + (-4 - 0)^2) = 5

Similarly, the length of QO is also 5. Thus, we have a right triangle POQ with hypotenuse of length 5 and legs of length 5. Therefore, the area of triangle POQ is:

(1/2) * base * height

= (1/2) * 5 * 5

= 12.5 square units.

Step-by-step explanation:

The area of triangle POQ is approximately 17.32 square units.

We will apply  the formula for the distance between a point and a line to find their coordinates.

The formula for the distance between a point (x0, y0) and a line Ax + By + C = 0 is:

d = |Ax0 + By0 + C| / √t(A^2 + B^2)

Here we have, A = 3, B = 4, and C = 15.

5 = |3x0 + 4y0 + 15| / sqrt(3^2 + 4^2)

Solving for |3x0 + 4y0 + 15|, we get:

|3x0 + 4y0 + 15| = 5 * sqrt(3^2 + 4^2) = 25

This gives us two equations, solving these equations simultaneously, we get two points:

3x0 + 4y0 + 15 = 25

3x0 + 4y0 + 15 = -25

P = (-5, 0)

Q = (5, 0)

PO = √((-5 - 0)^2 + (0 - 0)^2) = 5

QO = √((5 - 0)^2 + (0 - 0)^2) = 5

PQ = √((5 - (-5))^2 + (0 - 0)^2) = 10

Using Heron's formula to find the area of triangle POQ:

s = (5 + 5 + 10) / 2 = 10

Area = √ (s(s-5)(s-5)(s-10)) = √(300)

=17.32

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The tabular method is called: cross-tabulation.

Therefore, the tabular method is called: cross-tabulation.

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I got 7

7, it's the right answer

If r and d represents the Rafael's age and his dad'age respectively, then the equation which relates the ages of both of Rafael and his dad is equals to r² + 8 = d - 4 .

Let us consider the age of rafael and his dad be equal to 'r' and 'd' respectively. We have to determine a equation which relates the ages of both of Rafael and his dad. Now, Rafael's age squared is equals to r² then plus 8 in resultant, i.e., r² + 8. This situation of rafael'a age is equivalent to 4 less the age of rafael's dad. So, we can write as r² + 8 = d - 4

Simplify the expression,

=> r² - d + 8 + 4 = 0

=> r² - d + 12= 0

Which is a trinomial ( contains three terms). Hence, required relation is r² - d + 12= 0.

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Complete question:

Rafael's age squared plus 8 is equivalent to 4 less the age of rafael's dad. Enter the equation related to Rafael's age, r and rafael's dad age, d.