with show work needed please! a and b.

Answer:

x ≤ 13 2/5 and y ≥ 6 2/3

Step-by-step explanation:

system of equations would be:

x + y ≤ 20

5x + 8y ≥ 120

if you solve this system you get the answer above

Answer:

x=-2

Step-by-step explanation:

The corner point is (2, 0), the region that corresponds to the given inequalities is bounded and the corner point is (2, 0).

To sketch the region that corresponds to the given inequalities, we need to graph the lines that represent each inequality and shade the region that satisfies all the inequalities.

For the first inequality, 3x - y ≤ 6, we can rewrite it as y ≥ 3x - 6. To graph this inequality, we start by graphing the line y = 3x - 6, which has a y-intercept of -6 and a slope of 3/1. We can draw this line as a solid line.

For the second inequality, x + 2y ≤ 2, we can rewrite it as y ≤ -(1/2)x + 1. To graph this inequality, we start by graphing the line y = -(1/2)x + 1, which has a y-intercept of 1 and a slope of -1/2. We can draw this line as a solid line.

The region that satisfies both inequalities is the shaded region below both lines. It is bounded by the lines and extends indefinitely in all directions within this bounded region.

To find the corner points, we need to find the intersection points of the two lines. To do this, we can set the two equations equal to each other and solve for x and y:

3x - 6 = -(1/2)x + 1

Multiplying both sides by 2, we get:

6x - 12 = -x + 2

Simplifying further, we have:

7x = 14

x = 2

Substituting x = 2 into either equation, we find y:

y = 3(2) - 6

y = 6 - 6

y = 0

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I can only draw the conclusion that if a triangle is equilateral, then it is describing various based on the previous statement, "If a triangle is isosceles, it is then equilateral."

Equilateral describes a triangle that has three equal sides. A triangle is referred to as isosceles if two of its sides are equal.

An equilateral triangle in geometry is a triangle whose sides are all of the same length. Since the three sides are equal, the three angles that are opposite the equal sides are also equal. As a result, it is also known as an equiangular triangle because each angle is 60 degrees.

The length of each side is the same. Two sides of an isosceles triangle are of equal length. Scalene triangle: Each side measures a different distance.

A triangle with two equal sides is called an isosceles triangle. Additionally, the two angles that face the two equal sides are also equal. To put it another way, "An isosceles triangle is a triangle with two congruent sides."

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The area of the hub cap whose circumference is 74.23 cm is 439 square centimeters.

According to the question,

We have the following information:

Circumference of the circle = 74.23 cm

We know that the following formula is used to find the circumference of the circle:

C = 2πr

2πr = 74.23

r  = 74.23/2π cm

Area of the circle = π\(r^{2}\)

Area = π * 74.23/2π*74.23/2π

Area of the circle = (74.23*74.23)/4*3.14

Area of the circle = 5510.0929/12.56

Area = 438.7 square centimeters

Now, we will round off this obtained result to the nearest whole number:

Area of the hub cap = 439 square centimeters (Because 7 is greater than 5 then the number is increased by 1.)

When the circumference of this hub cap is increased then the area of the hub cap will also increase.

Hence, the area of the hub cap whose circumference is 74.23 cm is 439 square centimeters.

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Answer:

39

Step-by-step explanation:

sin^-1(x)= 39/62

x= 38.97

x=39

Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.

Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.

Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.

For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.

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Based on the description, it is not possible to provide a specific answer without a visual representation of the dot plot. However, I can explain each term and help you identify the correct answer once you examine the dot plot.


a) Approximately normal: The dot plot would resemble a bell curve, with most points centered around the mean and symmetrically distributed on both sides.
b) Bimodal without a gap: The dot plot would have two distinct peaks, but the points are continuous and do not have a gap between them.
c) Bimodal with a gap: The dot plot would have two distinct peaks, with a clear gap separating them.
d) Skewed to the right without a gap: The dot plot would have a longer tail on the right side, indicating higher values, with no gap in the data.
e) Skewed to the right with a gap: The dot plot would have a longer tail on the right side, indicating higher values, and a clear gap in the data.

To determine the correct answer, examine the dot plot and identify its shape based on the explanations provided above. Then, choose the option that best describes the dot plot.

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The Statement 1: She is 95% confident that the mean systolic blood pressure for students in the sample is between 108.6 and 120.3 mm Hg. This statement is accurate and conveys the meaning of a 95% confidence interval.

The confidence interval is the range of values within which a statistical parameter is estimated to be accurate with a certain level of confidence.

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter. Suppose that a student is working on a statistics project using data on systolic blood pressure collected from a random sample of 100 students from her college.

Statement 2: She is 95% confident that mean systolic blood pressure for students is between 108.6 and 120.3 mm Hg. This statement is inaccurate because the confidence interval obtained from the sample cannot be generalized to the entire population of students.

The correct statement should mention that the confidence interval is only for the random sample.Statement 2 is the incorrect statement.

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The equation of the plane is -x(tan(r/4)) + z(sin(r/4)) = 1.

Let the equation of the plane be Ax + By + Cz = D. Since the plane contains the y-axis, we know that x = 0 when y = 0. Therefore, the equation becomes:

0A + 0B + Cz = D

=> Cz = D

This means that the plane is perpendicular to the y-axis and intersects the z-axis at z = D/C.

Now, we need to find the values of A, B, and C. Since the plane makes an angle of r/4 with the positive x-axis, we can use the direction cosines to find these values. The direction cosines of a vector are the cosines of the angles it makes with the x, y, and z axes.

Let the direction cosines of the vector perpendicular to the plane be (l, m, n). Then, we have:

cos(r/4) = l/√(l^2 + m^2 + n^2)

=> l = cos(r/4) / √2

cos(π/2) = m/√(l^2 + m^2 + n^2)

=> m = 0

cos(π/2) = n/√(l^2 + m^2 + n^2)

=> n = sin(r/4) / √2

Therefore, the vector perpendicular to the plane is:

(l, m, n) = (cos(r/4) / √2, 0, sin(r/4) / √2)

Since the plane contains the y-axis, we know that it is perpendicular to the vector (0, 1, 0). Therefore, the dot product of the two vectors is zero:

0A + B + 0C = 0

=> B = 0

Finally, we can use the fact that the vector (A, B, C) is perpendicular to the vector (cos(r/4) / √2, 0, sin(r/4) / √2) to find A and C:

A(cos(r/4) / √2) + 0 + C(sin(r/4) / √2) = 0

=> A = -C(tan(r/4) / √2)

Therefore, the equation of the plane is:

-C(tan(r/4) / √2)x + 0y + C(sin(r/4) / √2)z = D

Multiplying through by √2/C and setting D = √2, we get:

-x(tan(r/4)) + z(sin(r/4)) = 1

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my because he was poor liké kiss

Answer:

9

Step-by-step explanation:

First, we isolate the variable. That would be adding 4 on both sides, and getting |x| = 9.

Answer:

Step-by-step explanation:

The way you can solve this is by splitting the cube into two parts.

Split the top cube apart from the bottom cube and then find the volume of each and add them together.

The first cube on top would be 80x90x75= 540000 centimeters

The second cube would be 270x75x80=1620000 centimeters

540000+1620000=2160000 centimeters

Hope this help!

Comment if you would like a visual drawing of the math!!

(Also the answer can be written as 21600 meters)

The value of 3 √ 4 √ x is 48

A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root. Squares and square roots are hence related concepts.

Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

As per the question, 3 √ 4 √ x when x =4096

first we need to calculate square root of 4096 by  prime factorisation method

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))

√4096 = 2 × 2 × 2 × 2 × 2 × 2

√4096 = 64

Therefore the square root of 4096 = 64.

x=64

now putting the value of x in  3 √ 4 √ x

= 3 √ 4 √ 64

= 3 √  256

=3×16

=48

so the value of 3 √ 4 √ x  is 48

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Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))

√4096 = 64

x=64

= 3 as 4 as 64

= 3 as  256

=3×16

=48

Answer:

The answer is D

Step-by-step explanation:

This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D

Answer:

\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)

Explanation:

\(\sf Time \ taken : \dfrac{Distance}{Speed}\)

Here given:

Applying formula,

\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)

Proportionately, since the Sleepwell Hotel served 8.4% less orange juice than it did the previous year, the total number it served this year is 751 gallons.

Proportion involves the equation of two ratios or values.

Proportion is a fractional value like ratios and is depicted in percentages, decimals, or fractions.

The quantity of orange juice served last year = 820 gallons

The percentage served this current year = 91.6% (1 - 8.4%)

Proportionately, the current year's quantity = 751 gallons (820 x 91.6%)

Thus, we can conclude that proportionately, the hotel served 751 gallons, which is 8.4% less than last year's.

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Thus, the reuired new coordinate of H is (-7,-1).

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

Answer:

here is the answer to your question

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

the slope of the line=0/6

Step-by-step explanation:

you can use the formula `y-y/`x-x, where (-8,5)=(x,y) and (-2,5)=(`x,`y)

5-5/-2--8

5-5/-2+8

0/6

Therefore, the slope of the line=0/6

Answer: The slope is 0 (undefined)

Step-by-step explanation:

A simple way to find slope of a line when given two points is to employ the use of a formula that essentially calculates it for you.  This formula is (y2-y1)/(x2-x1) with y representing the y coordinates and x representing the x coordinates.  For example you could write this as (5-5)/(-2-(-8)) which of course gives you an answer of 0 (undefined) because anything divided by 0 is automatically 0 (undefined) and as we see in our formula we are subtracting 5 from 5.

Answer:

Angle of elevation = 80°

Step-by-step explanation:

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive?

To solve for angle of elevation, we use the Trigonometric function of Tangent.

tan θ = Opposite side/Adjacent side

Opposite side = Height of the tower = 217 ft

Adjacent side = 38ft

tan θ = 217/38

tan θ = 5.6315789474

θ = arc tan 5.6315789474

= 79.930937301°

Approximately = 80°

Answer:

3

Step-by-step explanation:

The median is the best choice to predict how many miles Gina will drive in the sixth year because it is not skewed by the high outlier of 16,211 miles in the second year.

The data for Gina's car mileage is:

12,200 miles in the first year

16,211 miles in the second year

12,050 miles in the third year

To find the mode, we need to identify the value that occurs most frequently in the data set. In this case, there is no mode because no value appears more than once.

To find the median, we need to arrange the data set in order from smallest to largest and identify the middle value. If there is an even number of values, we take the average of the two middle values.

12,050, 12,200, 16,211

The median is 12,200 because it is the middle value when the data set is arranged in order.

To find the mean, we add up all of the values and divide by the number of values.

(12,200 + 16,211 + 12,050) / 3 = 13,027

Therefore, the mean is 13,027.

Based on the given data, the median is the best choice to predict how many miles Gina will drive in the sixth year because it is not skewed by the high outlier of 16,211 miles in the second year. The mean is also a reasonable choice, but it may be influenced by the high value. However, since we do not have any information about any changes in Gina's driving patterns or other relevant factors, it's difficult to accurately predict how many miles she will drive in the sixth year based solely on the given data.

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Answer:3

3

Step-by-step explanation:

It is True to take decisions about the types of questions

Researching: to study a subject in detail, especially in order to discover new information or reach a new understanding: She's researching into possible cures for AIDS. Journalists were frantically researching the new prime minister's background, family, and interests. Thesaurus: synonyms, antonyms, and examples. to study something.

It is True to take decisions about the types of questions that will be included in a questionnaire must include considerations of which statistical tests the researcher will use on the collected data.

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The water tower is approximately 49.31 feet tall.

To determine the height of water tower, we can use the ratio of the height of the man and his shadow to the height of the tower and its shadow. Let's call the height of the water tower "h". We know that the ratio of the man's height to his shadow is 6 ft/3.6 ft = 1.67. So, the ratio of the water tower's height to its shadow is h/29.3.

If we set the two ratios equal to each other, we get:

1.67 = h/29.3

Solving for h, we get:

h = 49.31 ft

So, the water tower is approximately 49.31 feet tall.

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The first five terms of the geometric sequence with a first term of 2 and a common ratio of 3 are 2, 6, 18, 54, 162.

A geometric sequence is a sequence of numbers in which each term is found by multiplying the previous term by a constant called the common ratio (r).

The general form of a geometric sequence is:

a, ar, ar^2, ar^3, ar^4, ...

Where:

- a is the first term,

- r is the common ratio.

To find the first five terms of a geometric sequence, you need the values of the first term (a) and the common ratio (r).

For example, let's assume the first term (a) is 2 and the common ratio (r) is 3.

The first five terms of this geometric sequence would be:

2, 2 * 3, 2 * 3^2, 2 * 3^3, 2 * 3^4

Calculating these terms, we get:

2, 6, 18, 54, 162

So, the first five terms of the geometric sequence with a first term of 2 and a common ratio of 3 are 2, 6, 18, 54, 162.

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The given system of equation:

y = -x + 7 (1)

y = 2x + 7 (2)

Apply substitution method to solve for x & y

Substitute the value of y from the equation(2) into equation(1)

y = 2x + 7

-x + 7 = 2x + 7

7 - 7 = 2x + x

3x = 0

x = 0

Now, susbtiute the value of x = 0, in the equation (1)

y = - x + 7

y = -(0) + 7

y = 7

So, the solution of the system of equation is : (x, y) = (0, 7)

Answer : (x,y) = (0,7)

The graph will be :