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3 years ago

The circular track at your school has a radius of 64 meters. How far would you travel

Mathematics

1 answer:

zloy xaker [14]3 years ago

3 0

Answer:

402.12 meters

Step-by-step explanation:

to measure the circumference,

C = 2πr

2π(64) =

to run 1 full lap around the track would be 402.12 meters

i hope this helps!

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If the domain is {0, 2, -6}, what is the range of y = -2x + 3?

jasenka [17]

Answer:

what is a domain

Step-by-step explanation:

please explain sorry

6 0

3 years ago

Read 2 more answers

F(x) = 3x + x3

____ [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

Really need help on #15 please.

ollegr [7]

Step-by-step explanation:

Let's call L the length and W the width. The length is 10 feet longer than the width, so:

L = W + 10

The area is the length times width, so:

119 = LW

Substituting:

119 = (W + 10) W

119 = W² + 10W

0 = W² + 10W − 119

0 = (W + 17) (W − 7)

W = -17 or 7

Since W must be positive, W = 7.

L = W + 10

L = 17

The length and width are 17 feet and 7 feet, respectively.

5 0

3 years ago

Divide 254 by 11.8. round your answer to the nearest hundredth.

Olin [163]

The answer is 21.52 so I hope that helped

8 0

3 years ago

Read 2 more answers

I mark brainliest for all my questions that are answered right :) thx for helping me

allsm [11]

The correct answer is y= 0.513(1.833)^x

Explain

We will use the equation on this form

Y=ab^x

Let’s us plug in the coordinates of first point

(X, y) , ( 9, 120)

We will have

Y=ab^x

120= ab^9

Our equation for a will be

Ab^9 = 120

ab ^9 / b^9 = 120/ b^9

a = 120/ b^9

So will have

Y= 120/ b^9 • b^x

Then we will plug in coordinates for the second point

( x,y) = ( 10, 220)

We will have

Y= 120/b^9 • b^x

220 = 120/b^9 • b^10-9

220= 120b

Divide both side by 120

B= 11/6

B= 1.833333 = 1.833

Let’s plug in the value b=11/6 to our equation for a

A= 120/b^9

A= 120/ 11/6^9

A= 120/11^9/6^9

A=120 • 6^9 / 11^9

= 0.51285 which equal to 0.513

So therefore the answer is

Y= 0.513(1.833)^x

I hope this help you

:D

8 0

3 years ago