If arc BC is 42° and angle 5 is 32°, what is the measure of arc DE?

A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb

ArbitrLikvidat [17]

Answer:

$9327

Step-by-step explanation:

Apparently, the cost function is supposed to be ...

C(x) = 0.4x^2 -112x +17167

This can be rewritten to vertex form as ...

C(x) = 0.4(x^2 -280) +17167

C(x) = 0.4(x -140)^2 +17167 -0.4(19600)

C(x) = 0.4(x -140)^2 +9327

The vertex of the cost function is ...

(x, C(x)) = (140, 9327)

The minimum unit cost is $9327.

_____

Comment on the question

You found the number of units that result in minimum cost (140 units), but you have to evaluate C(140) to find the minimum unit cost.

8 0

3 years ago

THEIR AGES

snow_tiger [21]

Answer:

Tom’s age is 7 years

Mary’s age is 13 years

Step-by-step explanation:

Since we do not know the ages, let’s represent the ages by variables at first.

Let m represent mary’s age will t represent Tom’s age.

Now, let’s proceed to have equations.

Adding square of Tom’s age (t^2) to mary’s age give 62

t^2 + m = 62 •••••••(i)

Adding square of mary’s age (m^2) to Tom’s age give 176

m^2 + t = 176 •••••••(ii)

Now, to get the individual ages, we will need to solve both equations simultaneously.

Solving both equations simultaneously without mathematical softwares can be a little hard.

By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.

By inputing these equations, we have the values of t to be 7 and m to be 13

And if we try to check by inspection, we can see that these values are actually correct.

7^2 + 13 = 62

13^2 + 7 = 176

6 0

3 years ago

4 people equally share 6 brownies. How much brownie does each person

Sever21 [200]

Answer:

2/3

Step-by-step explanation:

if you half the brownies each person would get 3 halfs of a brownie

8 0

2 years ago

What is the surface area of the figure shown? Plz answer asap

Luba_88 [7]

Answer:

$264\ cm^{2}$

Step-by-step explanation:

we know that

The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism

step 1

Find the lateral face of the triangular prism

The lateral area is equal to the area of its four lateral triangular faces

$LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}$

step 2

Find the lateral area of the rectangular prism

The lateral area is equal to the perimeter of the base multiplied by the height

$LA=(4)(6)(6)=144\ cm^{2}$

step 3

Find the area of the base of the rectangular prism

$B=(6)(6)=36\ cm^{2}$

step 4

Find the surface area

$84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}$

3 0

3 years ago

Pls help I need help plsss

Mkey [24]

Answer:

C, D, E

Step-by-step explanation:

≥ means that x is either more than or equal to 15. The numbers that fit this are 15, 24, and 32.

Please give brainliest if I helped! :)

4 0

2 years ago