Line AB contains points A(4, 5) and B(9, 7). What is the slope of ? –negative StartFraction 5 Over 2 EndFraction –negative StartFraction 2 Over 5 EndFraction StartFraction 2 Over 5 EndFraction StartFraction 5 Over 2 EndFraction
im taking this on edge

Answer:

So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.

Step-by-step explanation:

Let's assume that the length of one side of the square base of the box is "x". Then the height of the box is also "x" to maximize the volume.

The surface area of the box (excluding the top) is given by:

2(x^2) + 4(x^2) = 6(x^2)

The surface area of the metal top is:

x^2

The total surface area of the box is the sum of the surface area of the box and the surface area of the metal top:

6(x^2) + x^2 = 7(x^2)

The cost of the wood for the box is:

5 cents per square inch * 6(x^2) = 30x^2 cents

The cost of the metal for the top is:

12 cents per square inch * x^2 = 12x^2 cents

The total cost of the box is:

30x^2 + 12x^2 = 42x^2 cents

We want to find the maximum volume of the box that can be made with $30, which is 3000 cents. Therefore, we can set up the equation:

42x^2 = 3000

Solving for x, we get:

x^2 = 71.429

x ≈ 8.445

Therefore, the maximum volume of the box is:

V = x^2 * x = (8.445)^3 ≈ 606.526 cubic inches.

So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.

Answer:

i'm not sure if i'm right but think is cube

The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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The table should be completed as follows;

Position                          Amount       Amount          New Salary

Systems Analyst               $1,232         $1,584            $46,816.

Web Designer                   $1,312         $3,116             $48,426.

Data Entry                        $1,480.5       $1,417.5         $46,898.

In this scenario, we would determine the new salary by calculating the amount for cost of living adjustment (COLA) and merit increase with respect to the present salary, and then add them together as follows;

New salary = present salary + cost of living adjustment + merit increase.

For a Systems Analyst, we have the following:

New salary = $44,000 + (0.028 × 44,000) + (0.036 × 44,000)

New salary = $44,000 + $1,232 + $1,584

New salary = $46,816.

For a Web Designer, we have the following:

New salary = $44,000 + (0.032 × 41,000) + (0.076 × 41,000)

New salary = $44,000 + $1,312 + $3,116

New salary = $48,426.

For a Data Entry, we have the following:

New salary = $44,000 + (0.047 × 31,500) + (0.045 × 31,500)

New salary = $44,000 + $1,480.5 + $1,417.5

New salary = $46,898.

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Answer:

Tenths

Hope this helps :)

Answer:

tenths

Step-by-step explanation:

This is impossible because 15 fewer than 29 is 14 and then she would have to have negative apps.

Step-by-step explanation:

Orlando's number of apps = 22

Maria's number of apps = 7

Given,

Maria has 15 fewer apps on her phone than Orlando.

The total number of apps on both phones is 29.

We need to find out how many apps are on each phone.

- M fewer than N by 2

This means if N = P then M = P - 2

- M more than N by 2

This means if N = P then M = P + 2

We have,

Total number of apps = 29 _____(1)

Maria has 15 fewer apps on her phone than Orlando.

We can write this as:

Orlando's number of apps = O.

Now,

Maria's number of apps = O - 15

Now,

From (1)

Orlando's number of apps + Maria's number of apps = 29

O + O - 15 = 29

2O - 15 = 29

2O = 29 + 15

20 = 44

O = 44/2

0 = 22

Orlando's number of apps = 22

Maria's number of apps = 22 - 15 = 7

Thus,

Orlando's number of apps = 22

Maria's number of apps = 7

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The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

Here to get the points thanks for recommending this ur so nice.

Step-by-step explanation:

Answer:

11.5 ft

Step-by-step explanation:

Take the cone formula:

V = 3.14 * 1^2 * 11/3 = 11.5 ft

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

The spring will stretch 4.1 inches

Step-by-step explanation:

Direct Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y = kx

Where k is the constant of proportionality.

Let's call:

y = distance a spring stretches

x = weight attached to the spring

We know when x=80 pounds, y=6 inches, thus:

6 = 80k

Solve for k:

\(k=\frac{6}{80}=\frac{3}{40}\)

The equation is now:

\(\displaystyle y = \frac{3}{40}x\)

When x=55 pounds are attached:

\(\displaystyle y = \frac{3}{40}\cdot 55\)

Calculating:

y = 4.1 inches

The spring will stretch 4.1 inches

Answer:

\(m=1/3=0.\bar3\)

Step-by-step explanation:

So we have the equation:

\(-3.3m=-1.1\)

To solve for m, let's divide both sides by -3.3. So:

\(\frac{-3.3m}{-3.3}=\frac{-1.1}{-3.3}\)

On the left, the -3.3s cancel. On the right, cancel the negatives. So:

\(m=\frac{1.1}{3.3}\)

On the right, multiply both layers by 10 to get rid of the decimals. So:

\(m=\frac{1.1}{3.3}\cdot(\frac{10}{10})\)

Multiply:

\(m=\frac{11}{33}\)

Now, we can reduce. Divide both layers by 11. So:

\(m=\frac{11/11}{33/11}\)

Simplify:

\(m=1/3=0.\bar3\)

And we're done!

Answer:

Circumference of the circle (C) = 2×π×radius (r)

\(C= 2\pi r \\ \boxed{r = \frac{C}{2\pi} }\)

Here is the full question.

Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).

a.) n = 64, p = 0.8

b.) n = 256, p = 0.8

Answer:

a.) Mean = 0.8

   Standard deviation = 0.05

b.)  Mean = 0.8

     Standard deviation = 0.025

Step-by-step explanation:

From the given information:

a.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 64

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{64} }\)

\(sd(\hat p) = \sqrt{0.0025}\)

\(\mathbf{sd(\hat p) =0.05}\)

b.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 256

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{256} }\)

\(sd(\hat p) = \sqrt{6.25 \times 10^{-4}}\)

\(\mathbf{sd(\hat p) =0.025}\)

Step-by-step explanation:

i think 16b+a+10 is the answer

For an angle to have the exact same value for sine and cosine, it has to be located in a quadrant where both sine and cosine have the same sign. Those quadrants are 1 and 3. In quadrant 1, both sine and cosine are positive, and in quadrant 3 both sine and cosine are negative.

In quadrants 2 and 4, there are angles where sine and cosine could have the same magnitude, but not the same sign.

Therefore, correct answer is C.

Answer:

5 more hours i think i might be wrong

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

4.1x + 29

Step-by-step explanation:

2.3x + 14 + 2x + (-0.2x) + 15

= (2.3x + 2x - 0.2x) + (14 + 15)

= 4.1x + 29

For given trapezoid, the measures of angles A, B, and D are 40 degrees and 50 degrees, respectively.

A trapezoid is a quadrilateral with one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The legs may be of equal length, or they may be different lengths.

Since trapezoid ABCD has two parallel sides, we know that angle A + angle D = 180 degrees. Similarly, angle B + angle C = 180 degrees.

Therefore, we can write:

angle A + angle B + angle C + angle D = 360 degrees

Substituting angle A = angle B and angle C = angle D, we get:

2(angle A) + 2(angle C) = 360 degrees

Simplifying:

2(angle A) + 2(50)= 180 degrees

2(angle A) = 180 degree-100 degree

2(angle A) = 80 degree

angle A= 80 degree/2

angle A = 40 degree

Since we know that angle A = angle B

angle B= 40 degree

Therefore,

angle A = angle B = 40 degrees

angle D = angle C = 50 degrees

So the measures of angles A, B, and D are 40 degrees and 50 degrees, respectively.

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Answer:

Carol = 268 Km OR 166.2 Miles

Shannon = 274.2 Km OR 170Miles

Devon = 270Km OR 167.4 Miles

Kate = 284.2Km OR 176.2Miles

A recursive definition for the set S can be given as follows:

What is recursion?

Recursion is a programming technique where a function calls itself to solve a problem.

Base case: (1, n) is in S for all positive integers n, since 1 is a factor of all positive integers.

Recursive case: If (a, b) is in S, then (a', b) is in S for all positive integers a' that are factors of a, and (a, b') is in S for all positive integers b' that are multiples of b.

In other words, the set S contains all pairs (a,b) where a is a positive integer that divides b, and b can be obtained by multiplying any such a with another positive integer. The base case includes all pairs where a=1 and b is any positive integer.

The recursive case states that if (a,b) is in S, then all pairs where a' is a factor of a and b is a positive integer such that b=a'b are also in S, as well as all pairs where b' is a multiple of b and a is a positive integer that divides b'.

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The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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Remember that

If two figures are similar, then the ratio of their corresponding sides is proportional

In this problem

triangle ABC is similar t triangle XYZ

that means

AB/XY=BC/YZ=AC/XZ

substitute given values

4.8/3.2=a/5.2=6/y

Part 1

Determine the length side a

so

4.8/3.2=a/5.2

a=(4.8/3.2)*5.2

Part 2

Find out the length of side y

4.8/3.2=6/y

y=(6/4.8)*3.2

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

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Answer:

(a) The odds for and against E are (8:1) and (1:8) respectively.

(b) The odds for and against E are (7:2) and (2:7) respectively.

(c) The odds for and against E are (59:41) and (41:59) respectively.

(d) The odds for and against E are (71:29) and (29:71) respectively.

Step-by-step explanation:

The formula for the odds for an events E and against and event E are:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}\)

(a)

The probability of the event E is:

\(P(E)=\frac{8}{9}\)

Compute the odds for and against E as follows:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{8/9}{1-(8/9)}=\frac{8/9}{1/9}=\frac{8}{1}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-(8/9)}{8/9}=\frac{1/9}{8/9}=\frac{1}{8}\)

Thus, the odds for and against E are (8:1) and (1:8) respectively.

(b)

The probability of the event E is:

\(P(E)=\frac{7}{9}\)

Compute the odds for and against E as follows:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{7/9}{1-(7/9)}=\frac{7/9}{2/9}=\frac{7}{2}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-(7/9)}{7/9}=\frac{2/9}{7/9}=\frac{2}{7}\)

Thus, the odds for and against E are (7:2) and (2:7) respectively.

(c)

The probability of the event E is:

\(P(E)=0.59\)

Compute the odds for and against E as follows:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{0.59}{1-0.59}=\frac{0.59}{0.41}=\frac{59}{41}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-0.59}{0.59}=\frac{0.41}{0.59}=\frac{41}{59}\)

Thus, the odds for and against E are (59:41) and (41:59) respectively.

(d)

The probability of the event E is:

\(P(E)=0.71\)

Compute the odds for and against E as follows:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{0.71}{1-0.71}=\frac{0.71}{0.29}=\frac{71}{29}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-0.71}{0.71}=\frac{0.29}{0.71}=\frac{29}{71}\)

Thus, the odds for and against E are (71:29) and (29:71) respectively.

First subtract the difference between the two:

200 - 50 = 150

Now divide that by 2:

150/2 = 75

Bills share is $75

Now add the $50 to 75 to get Ann's share:

75 + 50 = $125

Ann's share is $125

Bill's share is $75

Answer:

5/8 or 62.5 percent

Step-by-step explanation:

The intercepts and rate of change for the linear function are 3 & 45 and -5, respectively

The graph of linear function represents the given parameter

On the table, we have the following points

(x, y) = (0, 45) and (3, 0)

The rate of change is calculated as

Rate = (y2 - y1)/(x2 - x1)

So, we have

Rate = (0 - 45)/(3 - 0)

Evaluate

Rate = -15

This means that the rate of change is -$65

The intercepts are when x and y are equal to 0

Using the points on the graph, we have

x-intercept = 3

y-intercept = 45

Hence, the intercepts and rate of change for the linear function are 3 & 45 and -5, respectively

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Check the picture below.