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katrin2010 [14]
2 years ago
10

A store owner tracks the number of online orders she receives each week since the start of a new advertising campaign and graphs

the data. Use the graph to select the true statement about the function that models the given situation. A. The function is linear and is growing by equal differences over equal intervals. B. The function is exponential and is growing by equal percentages over equal intervals. C. The function is exponential and is growing by equal differences over equal intervals. D. The function is linear and is growing by equal percentages over equal intervals.
Mathematics
1 answer:
Lemur [1.5K]2 years ago
3 0

The true statement about this function which models the given situation is: A. the function is linear and is growing by equal differences over equal intervals.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

By critically observing the graph which models the given situation, we can infer and logically deduce that the true statement about this function is that the function is linear and is growing by equal differences over equal intervals.

Read more on linear function here: brainly.com/question/6978079

#SPJ1

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Solve for the missing sides and show all the work.
erastovalidia [21]

So, first you must find the remaining angle measure. To do this add 25 and 90 then subtract from 180. The remaining angle measure is 65 degrees.

Next, use tangent, cosine, or sine to find the remaining side lengths.

I used sine of 25 which is opposite of hypo. which is sine 25 = y/43.

Multiply both side by 43 and you get y=18.17

Do the same to find x, but use the sine of 65, and you get sine 65 = x/43.

Multiply both sides by 43 and you get x=38.97

Hope this helped!

3 0
3 years ago
Find an equation of the plane with the given characteristics. The plane passes through the points (4, 3, 1) and (4, 1, -7) and i
Minchanka [31]

Answer:

3x - 4y + z = 1

Step-by-step explanation:

Given

Point\ 1 = (4,3,1)

Point\ 2 = (4,1,-7)

Perpendicular to 8x + 7y + 4z = 18

Required

Determine the plane equation

The general equation of a plane is:

a(x-x_1) + b(y - y_1) + c(z-z_1) = 0

For n =

(x_1,y_1,z_1) = (4,3,1)

(x_2,y_2,z_2) = (4,1,-7)

First, we need to determine parallel vector V_1

V_1 =

V_1 =

V_1 =

V_1 is parallel to the required plane

From the question, the required plane is perpendicular to 8x + 7y + 4z = 18

Next, we determine vector V_2

V_2 =

This implies that the required plane is parallel to V_2

Hence: V_1 and V_2 are parallel.

So, we can calculate the cross product V_1 * V_2

V_1 =

V_2 =

n = V_1 * V_2

V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]

The product is always of the form + - +

So:

V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]  -j\left[\begin{array}{cc}0&8\\8&4\end{array}\right] +k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]

Calculate the product

V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)

V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)

V_1 * V_2 = i(-48) - j(- 64) + k(- 16)

V_1 * V_2 = -48i +64j - 16k

So, the resulting vector, n is:

n =

Recall that:

n =

By comparison:

a = -48   b = 64   c = -16

Substitute these values in a(x-x_1) + b(y - y_1) + c(z-z_1) = 0

-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0

Recall that:(x_1,y_1,z_1) = (4,3,1)

So, we have:

-48(x-4) + 64(y - 3) -16(z-1) =0

-48x + 192 + 64y -192 - 16z +16 = 0

Collect Like Terms

-48x + 64y - 16z = 0 - 192 + 192 - 16

-48x + 64y - 16z = -16

Divide through by -16

3x - 4y + z = 1

<em>Hence, the equation of the plane is</em>3x - 4y + z = 1<em></em>

4 0
3 years ago
Please help quick !
love history [14]

Answer:

10 A. Quadrent 2

10 B. Quadrent 3

Step-by-step explanation:

Image

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3 years ago
The radius of the sphere is 10 units .what is the approximate volume of the sphere use π=3.14​
torisob [31]

Answer:

V≈4188.79

Step-by-step explanation:

The formula of the volume of a sphere is V=4/3πr^3

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3 years ago
What is a interrogative sentence
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Answer:

A sentence that has  or is conveying  a question.

Step-by-step explanation:

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3 years ago
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