A box of facial tissue has a volume of 180 cubic inches. What is the width of the box if the height was 4 inches, and the length was 9 inches?

Answer:

Slope is 2

Y-intercept is 7

Step-by-step explanation:

To find the slope we take any two points from the table

and use it in the formula :

\(m=\frac{y_2-y_1}{x_2-x_1} \\\)

we take the points (0,7) and (1,9)

now we put these points in the formula and it becomes

\(m=\frac{9-7}{1-0}\)

\(m=2\)

so our slope which is m is 2 and now for the y-intercept we use the standard equation

\(y=mx+c\)

where c is the y-intercept

we use the value of m which is 2 and use any point from the table lets take (0,7)

\(y=mx+c\\7=(2)(0)+c\\7=c\)

our y-intercept which is c is 7

so finally our slope is 2 and y-intercept is 7

Answer:

  (X_1, X_2) = (2, 4)

  Z = 110

Step-by-step explanation:

You want a graphical solution to ...

  minimize Z = 15 X_1 +20 X_2

  subject to ...

A graph of the reverse of the inequalities is attached. This makes the feasible solution region be white (rather than shaded multiple times), so its vertices are easier to see. (The dashed lines are part of the solution space.)

The vertex of the solution space that minimized the objective function is (X_1, X_2) = (2, 4). The minimum value of Z is 110.

The simplified expressions represent the level of consumption, investment, and net exports at a particular level of income and interest rates.

The consumption function represents the relationship between the aggregate level of consumption and the total level of income in the economy.

The investment function shows the level of investment planned by businesses at different interest rates. The net export function calculates the difference between exports and imports as a function of income, while the level of imports is positively related to the level of income, and exports are negatively related to the level of income.

Given:C = 3.25 + 0.75(Y - 3)

We can simplify the consumption function as follows:

C = 1 + 0.75YY - 3 = disposable income = Yd

C = 1 + 0.75(Yd)

C = 1 + 0.75Y

For the investment function: I = 1.3 - 0.3r

Where I is investment and r is the interest rate.

For the net export function: NX = -1 + 0.1Y

Thus, the simplified expressions for the consumption function, investment function, and net export function are:

C = 1 + 0.75YI = 1.3 - 0.3rNX = -1 + 0.1Y

The simplified expressions represent the level of consumption, investment, and net exports at a particular level of income and interest rates.

To know more about interest,

https://brainly.com/question/25720319

#SPJ11

Answer:

1. 4y = 3x - 8

2.y-7 = -2(x + 4)

Step-by-step explanation:

1. The general equation form is;

y = mx + b

m is slope b is y-intercept

so we have;

y= 3/4x - 2

Multiply through by 4

4y = 3x -8

2. The point-slope form is;

y-y1 = m(x-x1)

y-7 = -2(x + 4)

If the likelihood of x succeeding in n trials is less than 0.05%, then the event might be deemed to be an exceptional occurrence.

If P(the variable has a value of x or less) < 0.05, then this is an exceptionally low value. If the likelihood of obtaining a value as little as x is less than 0.05, then the occurrence of x is deemed exceptional.

This is further explained below.

Generally, Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct. A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.

In conclusion, If the likelihood of x succeeding in n trials is less than 0.05%, then the event might be deemed to be an exceptional occurrence.

Read more about probability

https://brainly.com/question/10544271

#SPJ4

Answer:

x = 2 and x = 0

Step-by-step explanation:

(h)

note that 5² = 25 and \(\frac{1}{5^{2} }\) = \(\frac{1}{25}\)

Thus x = 2 , that is

5² + \(5^{-2}\) = 25 + \(\frac{1}{25}\) = 25 \(\frac{1}{25}\)

(k)

noting that 27 + 1 - 28 = 0

and 3³ = 27 and \(\frac{1}{3^{0} }\) = 1

Thus x = 0

\(3^{0+3}\) + \(\frac{1}{3^{0} }\) - 28

= 3³ + 1 - 28

= 27 + 1 - 28

= 0

Answer:  h) x = 2           k) x = 0

Step-by-step explanation:

Rewrite the equations so they have the same base.

Separate into two equations.

Eliminate the base and set the exponents equal to each other.

If both equations result in the same answer, then the answer is valid.

h) 5ˣ + 5⁻ˣ = 25 1/25

  5ˣ + 5⁻ˣ = 5² + 5⁻²

→ 5ˣ = 5²   and    5⁻ˣ = 5⁻²

  x = 2                 -x = -2

                            x = 2

k) 3ˣ⁺³ + 1/(3ˣ) - 28 = 0

  3ˣ⁺³ + 1/(3ˣ) - 27 - 1 = 0

  3ˣ⁺³ + 3⁻ˣ - 3³ - 3⁰ = 0

  3ˣ⁺³ + 3⁻ˣ = 3³ + 3⁰

→ 3ˣ⁺³  = 3³    and    3⁻ˣ = 3⁰

  x + 3 = 3                -x = 0

        x = 0                 x = 0

Answer:

An equation is 2.50x + 30 = 45

You purchased 6 movies

To construct a confidence interval for the proportion of adults who believe that economic conditions are getting better, the pollster needs to consider the sample size and margin of error.

In part (a), the pollster has an estimate of the proportion (0.25) and wants a margin of error of 0.02 with a 95% confidence interval. To determine the sample size needed, the pollster can use the formula:

sample size = (Z^2 * p * q) / E^2

where Z is the z-score for the confidence level (1.96 for 95%), p is the estimated proportion (0.25), q is 1-p, and E is the margin of error (0.02).

Plugging in these values, we get:

sample size = (1.96^2 * 0.25 * 0.75) / 0.02^2
sample size = 861.3

Therefore, a sample size of 862 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, based on the estimate of 0.25.

In part (b), if no estimate of p is available, the pollster can use a conservative estimate of p = 0.5 to calculate the sample size needed. This is because a sample size calculated using p = 0.5 will be the largest sample size needed for any value of p.

Using the same formula as before, we get:

sample size = (1.96^2 * 0.5 * 0.5) / 0.02^2
sample size = 2401

Therefore, a sample size of 2401 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, without an estimate of p.

Learn more about confidence interval here:

https://brainly.com/question/29680703

#SPJ11

The corresponding sides and the corresponding angles along with the figure are given below.

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

From the given information we get the figure given below.

Trapezium ABCD.

Trapezium PQRS.

Now,

The corresponding sides are:

AB = RS

BC= SP

AD = RQ

CD = QP

The corresponding angles are:

∠B = ∠S = 90

∠C = ∠P = 90

∠A = ∠R

∠D = ∠Q

Thus,

The corresponding sides and angles are given above.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ1

Answer:

you should of not said exam you will prob get banned now

Step-by-step explanation:

By using the fact that the two angles whose measures are expressed in terms of x are vertical angles, we will see that x = 8.

Then using that we will see that the measure of angle BAC is 63 degrees.

On the given diagram, we can see that the two angles whose measures are expressed in terms of x are vertical angles, thus, these two angles have the same measure, then we can write a linear equation that helps us to find the value of x, which is:

(2x + 3) = (4x - 5)

Solving the linear equation for x we get:

2x + 3 = 4x - 5

3 + 5 = 4x - 2x

8 = 2x

8/2 = x = 4

So we can see that the value of x is 4.

Now we want to find the measure of angle BAC.

We can see that the measure of angle BAC plus the measure of the angle to its right will be a right angle, then we can write:

m∠BAC + (4x - 5)° = 90°

Replacing the value of x we get:

m∠BAC + (4*8 - 5)° = 90°

m∠BAC + 27° = 90°

m∠BAC = 90° - 27° = 63°

We conclude that the measure of angle BAC is 63 degrees.

If you want to learn more about vertical angles:

https://brainly.com/question/14362353

#SPJ1

Answer:

99 pages.

Step-by-step explanation:

First divide 165 by 5, to get 1/5th of the book. The answer is 33

Now, multiply 33 by 3 in order to get 3/5ths of the book.

You get 99 pages.

The equation of the line that has a slope of 4 and passes through (-5, 12) will be y = 4x - 8.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is 4. Then the equation of the line is given as,

y = 4x + c

The equation of the line is passing through (-5, 12), then the value of 'c' is calculated as,

12 = 4 (5) + c

c = - 8

Then the equation that represents the line will be y = 4x - 8.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

The scale that she can use for the vertical axis to maximize the difference in the heights of the bars is option c, 10-50.

To maximize the difference in the heights of the bars, she needs to choose a scale that covers the range of values represented by the data while minimizing the unused space on the vertical axis.

Option a, 0-50, would cover the entire range of values but may result in a lot of unused space if the data values are relatively small.

Option b, 0-40, would restrict the range of values and may not fully represent the differences between the heights of the bars.

Option c, 10-50, is a suitable choice as it covers the range of values and allows for differentiation between the heights of the bars. It eliminates unnecessary empty space below 10, focusing on the relevant range of data.

Option d and e, 25-40, restrict the range even further and may not adequately capture the differences between the heights of the bars.

Learn more about range here:

https://brainly.com/question/29204101

#SPJ11

1) First, from the picture we see that we have two equal angles: ∠A = ∠D = 47°.

2) Secondly, We also know that the line CF bisects AD.

3) Finally, the two opposite angles of B are equal, we call these angles ∠B.

From (1)-(2)-(3) we conclude that the answer is: angle-side-angle (ASA).

For example, we have the side/line AB between angles ∠A and ∠B.

Answer:

5

Step-by-step explanation:

(0.000064)^5/6 divided by (0.00032)^6/5

(0.00032)^6/5=(0.000064)

and

(0.000064)^6/5=(0.00032)

so now we have (0.00032) divided by (0.000064)

which is 5!

hope this helps!

Answer: yes

Step-by-step explanation: no

The statistical method that would be best to use in this situation is b) Regression analysis.

Regression analysis is a statistical technique used to examine the relationship between a dependent variable (in this case, the number of students registering each semester) and one or more independent variables (such as time, semester, or any other relevant factors). By analyzing past data on the number of students registering each semester, regression analysis can help identify trends, patterns, and the average number of students registering.

Using regression analysis, the university can estimate the average number of students registering each semester based on historical data and use this information to plan how many classes to run in the upcoming semester. It allows for a quantitative analysis and prediction based on the relationship between variables, making it a suitable choice for estimating the average number of students in this scenario.

Hence the answer is Regression analysis.

Learn more about Regression analysis click;

https://brainly.com/question/31873297

#SPJ12

Answer:

Purple -3 is the answer

Step-by-step explanation:

We start by opening the bracket

That would be;

x-x-3

= 0-3 = -3

So selecting the correct option, we can see that our answer is purple

To obtain the sampling distribution (likelihood) and the posterior distribution for this scenario, we can use Bayesian inference.

The sampling distribution (likelihood) can be represented as:

p(y|u,02) = (1/sqrt(2*pi*02)^n) * exp(-(1/(2*02)) * sum((yi-u)^2))

where y is the observed data, u is the mean of the normal distribution, and 02 is the variance of the normal distribution.

The non-informative prior for 02 can be represented as:

p(02) « 1/02

Using Bayes' theorem, we can obtain the posterior distribution:

p(u,02|y) = p(y|u,02) * p(02) / p(y)

where p(y) is the marginal likelihood. To simplify the calculation, we can integrate out u from the joint distribution:

p(02|y) = (p(y|02) * p(02)) / p(y)

where p(y|02) is the marginal likelihood for 02:

p(y|02) = (1/sqrt(2*pi*02)^n) * exp(-(n-1)/2)

We can then obtain the posterior distribution for 02:

p(02|y) « 1/02 * exp(-(n-1)/2)

This is a gamma distribution with shape parameter (n-1)/2 and scale parameter 1/2. Therefore, the posterior distribution for 02 is:

02|y ~ Gamma((n-1)/2, 1/2)

Learn more about Bayesian inference here:

https://brainly.com/question/31448061

#SPJ11

Answer: 6 and 7

Step-by-step explanation:

Answer:

P = 20 and A = 24

Step-by-step explanation:

6+6+4+4 = 20

6*4 = 24

Hope this helps

Kelsey's similarity statement is inaccurate. The order in which the sides are listed in the triangles differs, and the ratios between the corresponding sides do not match.

Kelsey's similarity statement is inaccurate because the order in which the sides are listed for each triangle is not the same. In Triangle RUV, the sides are listed as VR, RU, and VU, while in Triangle RST, the sides are listed as RS, RT, and ST. For similarity, the corresponding sides should be listed in the same order.

Additionally, the ratios between the corresponding sides in the two triangles are not the same. In Triangle RUV, the ratio of VR to RU is 4:1.5, which simplifies to 8:3. In Triangle RST, the ratio of RS to RT is 3:8, and the ratio of RT to ST is 8:5.4, which simplifies to 15:40 and 40:27, respectively. Therefore, the ratios do not have a common ratio of 2, indicating a mismatch between the triangles.

To learn more about ratios click here: brainly.com/question/13419413

#SPJ11

Answer:

its b

Step-by-step explanation:

because im feeling generous enjoy

Answer:

The Answer Is A

Step-by-step explanation:

Answer:

The expression becomes:

Explanation:

We want to solve the expression:

First of all, notice there is a mixed fraction in the expression. This can be converted into an improper fraction. Doing that, the expressioin becomes:

Next, we remove the bracket by multiplying each element in the bracket by 4.

Which becomes:

Now, we make this expression a single fraction as:

The height of an isosceles triangle can be found by using the Pythagorean Theorem to calculate the length of the hypotenuse, subtracting the lengths of the other two sides, and taking the square root of the difference.

To find the height of an isosceles triangle given three sides, you can use the Pythagorean Theorem. Begin by calculating the length of the hypotenuse (the longest side of the triangle). To do this, square the lengths of the two other sides and add them together. Then, take the square root of that sum. This is the length of the hypotenuse. Next, subtract the lengths of the other two sides from the hypotenuse and take the square root of the difference. The result is the length of the altitude, which is also the height of the triangle.

Learn more about height here

brainly.com/question/27996736

#SPJ4

Answer:

4−2x<−3

Step-by-step explanation:

check:

now --- 4°

after 1 hr --- 2°

after 2 hrs--- 0°

after 3 hrs--- -2°

after 4 hrs--- -4°

so between 3 and 4 hrs it will reach -3°

4-2x < -3

-2x < -7

x > 3 1/2

For the options C, D, and E, (where the 3 sides are given) result in the construction of unique triangles.

We will have unique triangles only if the length of the 3 sides are completely determined, so we need to know the 3 sides, or two sides and one angle.

With that in mind, for options C, D, and E (in the 3 cases the 3 sides of the triangles are given). Then for these 3 options, we can make a unique triangle.

While for the first two options, where we only know the angles, we can make infinite triangles.

If you want to learn more about triangles:

https://brainly.com/question/2217700

#SPJ1

Let's remember two important formulas for the problem:

Now we need to calculate the areas of each figure using the formulas

Now we have to subtract the area of the right triangle from the area of the rectangle

The area of the shaded region is 81 cm^2.

Remember that you have to write "cm^2" because is an area. Because "cm" is for length and "cm^3" is for volume.