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Debora [2.8K]
3 years ago
15

Need help for real plsss

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Rachel could get 8 ounce of cheese

Step-by-step explanation:

Step 1:

Let Rachel will pay $0.36 per ounce for cheese.

In option A, for 8 oz of cheese, it is $ 2.88.

Step 2:

Here, for 8 oz of cheese

2.88/8 = 0.36 .

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Carbon-14 has a half-life of 5730 years. In a plant fossil, you find that the 14C has decayed to 1/8.00 of the original amount.
drek231 [11]
Note that 8.00 = (2.00)^3, that implies that a decay to 1/8.00 means that the Carbon-14 has passed 3 half-life. (1 to decay to 1/2, other to decay to 1/4, and other to decay to 1/8). And, three half-life is 3 * 5730 years = 17,920 years. So,<span> the answer is that the plant was alive 17,920 years.</span>
7 0
3 years ago
A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet.
enyata [817]

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

6 0
3 years ago
Solve --&gt; <br><br> 3.17 x 10^5
Misha Larkins [42]
3.17 x 10^5 = <span>317000</span>
7 0
3 years ago
Find the value of the variable.
Nikolay [14]

we are given that

both sides are equal

so, their length must be equal

HK=\sqrt{(p-1)^2+(5-2)^2}

HK=\sqrt{(p-1)^2+9}

now, we can find other side

JK=\sqrt{(p-7)^2+(5-2)^2}

JK=\sqrt{(p-7)^2+9}

now, we can set them equal

HK=JK

\sqrt{(p-1)^2+9}=\sqrt{(p-7)^2+9}

now, we can take square both sides

(p-1)^2+9=(p-7)^2+9

now, we can solve for p

(p-1)^2=(p-7)^2

p^2-2p+1=p^2-14p+49

-2p+1=-14p+49

12p=48

p=4..............Answer

4 0
3 years ago
PLEASE HELP ME!! LOTS OF POINTS!!
marta [7]
54 i think im not to sure XD
6 0
3 years ago
Read 2 more answers
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