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3 years ago

Panel 1 is the answer choice Panel 2 is the question

Mathematics

1 answer:

Ierofanga [76]3 years ago

8 0

D is the midpoint of A and B
A = (0,s)
B = (r,0)

Add up the x coordinates to get 0+r = r. Then cut that in half to get r/2
Similarly, do the same for the y coordinates: s+0 = s ---> s/2

So the location of point D is (r/2, s/2)

Answer: Choice C

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Marvin wants to purchase a rectangular rug. It has an area represented by the expression 4x^2+64x+256. what is the length and wi

jasenka [17]

Answer: the length and width are

(x + 8) and (x + 8)

Step-by-step explanation:

The rug has an area represented by the expression

Area = 4x² + 64x + 256.

The factors in the factored expressions represent the length and width of the rug.

Dividing the the equation by 4, it becomes

x² + 16x + 64 = 0

We would find two numbers such that their sum or difference is 16x and their product is 64x^2.

The two numbers are 8x and 8x. Therefore,

x² + 8x + 8x + 64 = 0

x(x + 8) + 8(x + 8) = 0

The factors are

(x + 8)(x + 8)

7 0

3 years ago

Assume that trees are subjected to different levels of carbon dioxide atmosphere with 7% of the trees in a minimal growth condit

taurus [48]

Answer: The mean and standard deviation are 567.2 and 89.88 resp.

Step-by-step explanation:

Since we have given that

For 370 parts per million = 7% = 0.07

For 440 parts per million = 10% = 0.10

For 550 parts per million = 49% = 0.49

For 670 parts per million = 34% = 0.34

So, Mean of the carbon dioxide atmosphere for these trees would be

$E[x]=370\times 0.07+440\times 0.1+550\times 0.49+670\times 0.34=567.2$

And

$E[x^2]=370^2\times 0.07+440^2\times 0.1+550^2\times 0.49+670^2\times 0.34=329794$

So, Variance would be

$Var\ x=E[x^2]-E[x]^2=329794-567.2^2=8078.16$

So, the standard deviation would be

$\sigma=\sqrt{8078.16}=89.88$

Hence, the mean and standard deviation are 567.2 and 89.88 resp.

3 0

3 years ago

Jamal worked over summer at his dads office. He earned $2200 total. He is planning on spending his money on a $50 per month gym

Tju [1.3M]

Answer: He will have $1974 in April.

Step-by-step explanation:

Given : Total money he earned = $2200

He spent $50 per month gym membership, a $68 monthly phone plan $48 monthly gas plan and $60 monthly fun plan.

So , Money he has left = Money he earned - Total expenditure

= $ ( 2200- (50+68+48+60))

= $ (2200- 226)

= $ 1974

Hence, He will have $1974 in April.

3 0

2 years ago

Kevin Hill deposited 15,483 pennies. He put 50 pennies in each penny roll. How many full rolls did he have?

Flauer [41]

Answer:

309 full rolls

Step-by-step explanation:

Find how many full rolls he had by dividing 15,483 by 50:

15,483/50

= 309.66

Since the question asks for full rolls, the answer has to be a full number.

So, the answer is 309 full rolls

3 0

2 years ago

A group of 25 students want to see a drake concert. Tickets for members of drakes fan club cost $20 and tickets for no members c

Gwar [14]

If you would like to know how many of each type of ticket were sold, you can calculate this using the following two equations:

a ... the number of drakes fan club tickets
s ... the number of no members tickets

$550 = a * $20 + s * $25 ... 550 = 20 * a + 25 * s
a + s = 25 ... a = 25 - s
__________________
550 = 20 * a + 25 * s

550 = 20 * (25 - s) + 25 * s

550 = 20 * 25 - 20 * s + 25 * s

550 - 20 * 25 = 5 * s

550 - 500 = 5 * s /5

s = 50 / 5

s = 10 tickets

a = 25 - s = 25 - 10 = 15 tickets

Result: There were 15 drakes fan club and 10 no members tickets sold.

6 0

3 years ago