The graph of a function g is shown below.
Use the graph of the function to find its average rate of change from x=-2 to x=4.
Simplify your answer as much as possible.
1-10

Answer:

(6+4x+8)-4-2x-5

6-4+4x-2x+8-5

2+2x+3.

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

Answer:

0.43 ft/hr

Step-by-step explanation:

dv/dt = 15ft³/hr

Height = 10ft

We are required to get dh/dt

h = 3r

r = h/3

Formula for volume = 1/3πr²h

We put value of h

1/3π(h/3)²h

= 1/3π(h²/9)h

= 1/3πh³/9

= πh³/29

dv/dt = 1/27π.3h²dh/dt

= dv/dt = πh²/9dh/dt

Remember dv/dt = 15

When we put this in we get

dh/dt = 15x9/3.142x10²

= 135/314.2

= 0.43 ft³/hr

Please check the attachment I added also to add you.

Answer:

Step-by-step explanation:

let Garrett orders x stickersfrom each company.

then

30+0.80x=14+1.20x

Answer:

\((f*g)(x)=-42x^2-74x-24\)

\((f*g)(-1)=8\)

Step-by-step explanation:

\(f(x)=7x+3\\ g(x)=-6x-8\)

\((f*g)(x)=(7x+3)(-6x-8)\\(f*g)(x)=-42x^2-56x-18x-24\\(f*g)(x)=-42x^2-74x-24\)

Now;

\((f*g)(-1)=-42x^2-74x-24\\(f*g)(-1)=-42(-1)^2-74(-1)-24\\(f*g)(-1)=-42(1)+74-24\\(f*g)(-1)=-42+50\\(f*g)(-1)=8\)

If we take the radius of a circle be R. Then, we can define that,

$ R = x $

Hence,

Arcs will be as $ 4x $. As,

A circle can be divided into four parts according to the radius.

Hence, we know that,

\(x \times 4\)

\( \mapsto \: 4x\)

Answer:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

A set of question on the concept of the function in calculus are presented along with their solutions.These question have been designed to help you gain deep understanding of the concept of the function .

Answer:

True: The smaller angle is 36°; The larger angle is 54°

False: The smaller angle is 18°. The larger angle is 72°

If you create an equation using this scenario, it would be (18+x)+x=90, because complementary angles sum up to 90°. Add the like terms to get 18+2x=90. Subtract 18 on both sides to get 72. Divide 2 on both sides to result with x=36. Subtract 90 with 36 to get 54. The smaller angle is 36° and the larger angle is 54°.

Answer:

5.2

Step-by-step explanation:

radius is half the diameter

Answer:

5.2in

Step-by-step explanation:

let's firstly convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}}~\hfill \stackrel{mixed}{4\frac{1}{4}} \implies \cfrac{4\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{17}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{23}{3}-\cfrac{17}{4}\implies \cfrac{(4)23~~ - ~~(3)17}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{92~~ - ~~51}{12}\implies \cfrac{41}{12}\implies 3\frac{5}{12}\)

In the right triangles whose legs are a, b and its hypotenuse is c

In triangle JLK

∵ LK and JL are the legs of the triangle

∵ KJ is the hypotenuse

∵ KL = 14 m and KJ = 18 m

Substitute them in the rule above to find JL

Subtract 196 from both sides

Take a square root for both sides

Round it to the nearest hundredth

The answer is 11.31 m

Answer:

216???

Step-by-step explanation:

54 times 4 bc every fourth person that comes in

I have no Idea tho

C) x – 3 ≥ 6

Solving this inequality by adding 3 on both sides, we get

x ≥ 9 which is shown on the number line

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

The location of the image of points J and K following a reflection across the x-axis are;

Coordinates of point are;

J(-3, 4), K(3, 4)

The given transformation is; A reflection across the x-axis

The representation of a reflection across the x-axis is presented as follows;

The image of J and K following a transformation across the x-axis are therefore;

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the car is approximately 22.4 meters away from the tower.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

we can write:

tan(55 degrees) = 32 / d

To solve for "d", we can rearrange the equation:

d = 32 / tan(55 degrees)

Using a calculator, we can evaluate the tangent of 55 degrees:

tan(55 degrees) = 1.428

d = 22.4 meters

Therefore, the car is approximately 22.4 meters away from the tower.

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The solution to the product is -18 and the property is negative factors

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

(4)(-0.5)(-3) (-3)

Using the property of negative factors, we have

(4)(-0.5)(3) (3)

Next, we remove the brackets

This gives

4 * -0.5 * 3 * 3

Evaluate the product

-18

Hence, the solution is -18

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If a company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. The implied valuation of the business is: $4,533,333.

First step is to calculate the equity valuation

Using this formula

Equity valuation=Amount invested/Equity rate

Let plug in the formula

Equity valuation=$800,000/.15

Equity valuation=$5,333,333

Second step is to calculate the implied valuation

Implied valuation=Equity valuation-Amount invested

Let plug in the formula

Implied valuation=$5,333,333-$800,000

Implied valuation=$4,533,333

Therefore If a company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. The implied valuation of the business is: $4,533,333.

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Answer:

The best first step would be to multiply the second equation by -2

Step-by-step explanation:

The best first step would be to multiply the second equation by -2

then you would have the following

\(\ \ \ \ \ \ 4x - 5y = 2 \\-2*(2x)+ (-2)*y = (-2)*3\)

and when you multiply it is easy to eliminate because you will get

   \(4x - 5y = 2 \\-4x -2y = 6\)

and if you sum the equations you get

-7y = 8

so that is a single variable equation which is easier to solve.

2. The transformations are given as follows:

3. The transformations are given as follows:

For item 2, the transformations in this problem are given as follows:

For item 3, the transformations are given as follows:

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9514 1404 393

Answer:

Step-by-step explanation:

The area can be decomposed into a rectangle and a trapezoid.

The rectangle is 2' by 5', so has area ...

  A = LW

  A = (5 ft)(2 ft) = 10 ft²

The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²

Then the total area of the figure is ...

  total area = 10 ft² +26 ft² = 36 ft²

__

The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...

  c = √(a² +b²) = √(3² +4²) = √25 = 5

The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...

  P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet

The perimeter of the figure is 30 feet.

Given:

The base area of a right circular cone is \(\dfrac{1}{4}\) of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = \(\pi r^2\)

Total surface area of a right circular cone = \(\pi rl+\pi r^2\)

where, r is radius and l is slant height.

According to the question,

\(\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)\)

Multiply both sides by.

\(4\pi r^2=\pi rl+\pi r^2\)

\(4\pi r^2-\pi r^2=\pi rl\)

\(3\pi r^2=\pi rl\)

Cancel out the common factors from both sides.

\(3r=l\)

Now, ratio of the radius  to the slant height is

\(\dfrac{r}{l}=\dfrac{r}{3r}\)

\(\dfrac{r}{l}=\dfrac{1}{3}\)

Therefore, the ratio of the radius  to the slant height is 1:3.

The constant of proportionality in the equation c = 8m is 8.

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

since C = 8m is an equation and the relationship between c and m is direct.

It means that dividing both sides of the equation by m we have

C/m = 8m/m

c/m = 8

Therefore the constant of proportionality is 8

In conclusion the constant of proportionality for which c = 8m is 8.

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The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

Answer:

121.92 cm cubed

Step-by-step explanation:

all you have to do is multiply all 3 measurements to find the simple shapes volume, and then convert to centimeters using the simple 2.54 cm=1 in conversion rate

Answer:

1/36 cubic ft

Step-by-step explanation:

4 inches = 12/3 inches = 1/3 ft

2 inches = 12/6 inches = 1/6 ft

6 inches = 12/2 inches = 1/2 ft

The terminal side of theta intersects with unit circle at (-√2/2, -√2/2)

The only quadrant where we have (-, -), that is the y and x coordinate is negative is the third quadrant

In the third quadrant: tan is positive, cos is negative and sine is negative

from the point of the unit circle:

We can find csc θ, sin θ and cot θ now:

The value of angle QSR is determined as 50⁰.

The value of angle QSR can be obtained if we calculate the value of x.

The value of x is calculated by setting up the following equation as shown below;

(4x - 8) + 34 + (76 - x) = 180 (sum of angles in a straight line )

4x - 8 + 34 + 76 - x = 180

3x = 180 - 102

3x = 78

x = 78/3

x = 26

The value of angle QSR;

∠QSR = 76 - x

∠QSR = 76 - 26

∠QSR =  50⁰

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According to Naomi's Quilt Shoppe's contribution margin income statement, she had a net income of $12,176 for the month of February.

For the month of February, Naomi's Quilt Shoppe's contribution margin income statement is as follows:

Revenue from Sales: 95 x $490 = 46,550

Cost of Goods Sold: 95 x $290 = $27,550

Gross profit: $27,550 - $46,550 = $19,000.

Variable expenses :

Revenue Commission: 8% × $46,550 = $3,724

Costs for all variables: $3,724

Contribution Margin: $19,000 - $3,724 = $15,276

Fixed expenses :

Rent: $1,300

Cost of payroll: $1,800

Total Fixed Costs: $3,100

Net Income: $15,276 - $3,100 = $12,176

Therefore, According to Naomi's Quilt Shoppe's contribution margin income statement, she had a net income of $12,176 for the month of February.

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