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3 years ago

14

I have a kit for constructing a chicken coop. The kit comes with 10-foot long beams. The instructions say to cut each beam into

two pieces such that one piece is 3 times the length of the other. How many feet long should the long piece be?

1 answer:

Virty [35]3 years ago

7 0

It would be 50 but you solve it

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hichkok12 [17]

Answer: $1750

Step-by-step: see the picture

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3 years ago

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ehidna [41]

Answer:

The first graph is misleading because all it is is just bigger. However the second graph is the same 80 million ton barrel twice. This means that its 80 +80 which indeed is 160 million tons.

Step-by-step explanation:

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3 years ago

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Fiesta28 [93]

Answer:

78.5 square units

Step-by-step explanation:

$d = 10 \implies \: r = \frac{10}{2} = 5 \\ area \: of \: circle \\= \pi {r}^{2} \\ = 3.14 \times {5}^{2} \\ = 3.14 \times 25 \\ = 78.5 \: {units}^{2} \\$

8 0

3 years ago

Read 2 more answers

____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'$

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

5 0

3 years ago

Simon used 3 pears and 9 apples to make a fruit salad. What was the ratio of the number of pears to the number of apples in the

Murrr4er [49]

Answer:

Step-by-step explanation:

3 pears, 9 apples

the ratio of pears to apples is 3:9 which reduces to 1:3

now if it wanted the ratio of apples to pears, it would be 9:3 which reduces to 3:1

*****pay close attention to the way it is worded

8 0

3 years ago