Sarah has a lot of shoes. She organizes them on 4 shelves. If each shelf holds 8 pairs of shoes, how many total pairs of shoes does she own? Write and solve an equation to find the amount of total shoes Sarah owns.

The measure of each exterior angles of rectangle is 90°

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

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

Read more about polygons at

https://brainly.com/question/8409681

#SPJ1

Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

Know more about parabolic function

https://brainly.com/question/30281619

#SPJ1

Answer:  How many solutions does the nonlinear system of equations graphed below

have?

A. Zero

B. One

C. Two

D. Four

your answer would be   C. Two

Step-by-step explanation: hope this helps

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

We want to evaluate

As 'x' tends to 0, the argument of the cosine function (1/x) tends to infinity.

The range of the cosine function varies between -1 and 1, and we don't know the behavior of infinity on this function. Then, this limit is undefined.

For the plot of this graph, we have

It comes from the value of 1, and starts oscilating near the y-axis increasing its frequency.

The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

More can be learned about definite integrals at https://brainly.com/question/22008756

#SPJ1

Answer:

D

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

D. because it has a proper domain and range and no other answer has correct domain/range. Therefore, D is the answer.

Answer:

The y-intercept would be zero, if the original equaion equaled zero.

Step-by-step explanation:

y + \(\frac{3}{7}\)x = 0  ?  Subtract \(\frac{3}{7}\)x from both sides

y = \(\frac{-3}{7}\) x + 0

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

More can be learned about the surface area of a sphere at https://brainly.com/question/32375678

#SPJ1

the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².

Why it is and what is diameter?

The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.

The formula for the area of a circle is:

A = πr²2

where A is the area and r is the radius.

Substituting the value of the radius into the formula, we get:

A = 3.14 x 8.5²2

A = 3.14 x 72.25

A ≈ 226.99

Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².

In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.

To know more about Circle related questions visit:

https://brainly.com/question/22874193

#SPJ1

Hey there! :)

Answer:

\(f^{-1}(x)\) = ± \(\sqrt{\frac{1}{5}(x-2) }\)

Step-by-step explanation:

Given:

f(x) = 5x² + 2

Switch the x and y variables in the equation:

x = 5y² + 2

Subtract 2 from both sides:

x - 2 = 5y²

Divide 5 from both sides:

\(\frac{1}{5}(x-2) = y^{2}\)

Square root both sides:

y = ± \(\sqrt{\frac{1}{5}(x-2) }\)

**Make sure to add a ±  sign when finding the inverse of a parabolic function.

Therefore, the inverse of this function is:

\(f^{-1}(x)\) = ± \(\sqrt{\frac{1}{5}(x-2) }\)

An Annual is not an example of an agreement.

The missing piece of information is ∠C ≅ ∠C′

From the figure,  we have:

AB ≅ A'B'

<B ≅ <B'

The above means that:

The congruence theorem is given as:

AAS --- Angle Angle Theorem

i.e.

Two corresponding angles and one corresponding side are congruent

Since a congruent side and a congruent angle have been given;

We need a congruent angle to complete the piece

In this case, we have:

∠C ≅ ∠C′

Hence, the missing piece of information is ∠C ≅ ∠C′

Read more about congruent triangles at:

https://brainly.com/question/1675117

#SPJ1

Answer:

5

Step-by-step explanation:

Since (4, –1) and (9, –1) have the same range (aka -1), the length is 9-4=5

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

To know more about Expression .

https://brainly.com/question/1859113

#SPJ11

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

For more such questions on income

https://brainly.com/question/28414951

#SPJ8

Answer:

No

Step-by-step explanation:

no because it doesn't pass the horizonal line test

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

For more such questions on points, click on:

https://brainly.com/question/26865

#SPJ8

Answer:

836 batteries were shipped to each store

Step-by-step explanation:

x + 2 = 10

x + 2 - 2 = 10 - 2

x = 8

x - 2 = 10

x - 2 + 2 = 10 + 2

x = 12

2x = 10

2x/2 = 10/2

x = 5

x/2 = 10

x/2 × 2 = 10 × 2

x = 20

Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

Answer:

wheres the underline pls let me know what is underlined ill answer it on comment

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

\( x = 6\sqrt{2}\)

Step-by-step explanation:

Reference angle = 45°

Adjacent side = 6

Hypotenuse = x

Applying trigonometric ratio, we have:

\( cos(45) = \frac{6}{x} \)

Multiply both sides by x

\( x*cos(45) = 6 \)

Divide both sides by cos(45)

\( x = \frac{6}{cos(45)} \)

\( x = \frac{6}{\frac{\sqrt{2}}{2} \) (cos 45 = √2/2)

\( x = \frac{6}*{\frac{2}{\sqrt{2}} \)

\( x = \frac{12}{\sqrt{2}} \)

Rationalize

\( x = \frac{12*\sqrt{2}}{\sqrt{2}*\sqrt{2} \)

\( x = \frac{12*\sqrt{2}}{2} \)

\( x = \frac{6*\sqrt{2}}{1} \)

\( x = 6\sqrt{2}\)

The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

Learn more about inequality graphs:

https://brainly.com/question/29244324

#SPJ1