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3 years ago

7

raina drove 12 laps on a race track. each lap was the same length. if she drove a total of 39.6 mi what was the length of each l

ap? write your answer in yards.

1 answer:

ira [324]3 years ago

6 0

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3 years ago

Read 2 more answers

HELP MATH ANSWER QUESTION

Rom4ik [11]

Answer:

x = 84 , y = 168

Step-by-step explanation:

$Sin 60 = \frac{opposite side}{hypotenuse}\\\\ \frac{\sqrt{3}}{2}= \frac{AB}{BC}\\\\ \frac{\sqrt{3}}{2} = \frac{84\sqrt{3}}{y}\\\\Cross\ multiply ,\\\\y*\sqrt{3} =2*84 \sqrt{3}\\\\y= \frac{2*84*\sqrt{3}}{\sqrt{3}}\\\\y=168$

$Cos\60 = \frac{adjacent}{hypotenuse}\\\\ \frac{1}{2}= \frac{AC}{BC}\\\\ \frac{1}{2}= \frac{x}{168}\\\\ \frac{1}{2}*168=x\\\\x= 84$

8 0

3 years ago

Y=sqrt(x)(8x-5) find the derivative

garri49 [273]

Answer:

$\displaystyle y' = \frac{24x - 5}{2\sqrt{x}}$

General Formulas and Concepts: <u> </u>

<u>Algebra I</u>

Exponentials [Fractions] - Are radicals
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

$\displaystyle y = \sqrt{x}(8x - 5)$

<u>Step 2: Differentiate</u>

$\displaystyle f(x) = \sqrt{x}, \ g(x) = (8x - 5)$

Product Rule: $\displaystyle y' = \frac{d}{dx}[\sqrt{x}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]$
Rewrite: $\displaystyle y' = \frac{d}{dx}[x^{\frac{1}{2}}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]$
Basic Power Rule: $\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8x^{1 - 1}$
Simplify: $\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8x^{0}$
Rewrite: $\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8$
Multiply: $\displaystyle y' = \frac{8x + 5}{2x^{\frac{1}{2}}} + 8\sqrt{x}$
Rewrite: $\displaystyle y' = \frac{8x + 5}{2\sqrt{x}} + 8\sqrt{x}$
Add/Rewrite: $\displaystyle y' = \frac{24x - 5}{2\sqrt{x}}$

3 0

3 years ago

Elliot spent 3/5 of his money on stereo equipment and 1/6 of the money he had left on lunch. He left the house with $24. How muc

riadik2000 [5.3K]

$24/5 = $4.8 x 3 = $14.4
$24/6 = $4 x 1 = $4
$14.4 + $4 = $18.4
$24 - $18.4 = $5.6

6 0

3 years ago

willhelmina has 8.3 ounces of peanut butter if she makes 5 sandwiches with an equal amount of peanut butter on each how much pea

nadezda [96]

Answer:

Wilhelmina will put 1.66 ounces of peanut butter on each sandwich.

Step-by-step explanation:

Given:

Ounces of peanut butter Wilhelmina has = $8.3$

Number of sandwiches prepared by her = $5$

According to the question:

She puts equal amount of peanut butter on each sandwiches.

So,

We have to find the quantity of peanut butter used for each sandwiches.

Here the distribution is equal so we have to use division method.

Let ounces of peanut butter applied on each sandwich be 'x'

⇒ $x= \frac{Ounces\ of\ peanut\ butter}{No.\ of\ sandwiches}$

⇒ $x=\frac{8.3}{5}$

⇒ $x =1.66$ Ounces

So each sandwich will get 1.66 ounces of peanut butter.

5 0

4 years ago