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Dmitriy789 [7]
3 years ago
11

A recipe for potato salad calls for 30 potatoes to make 12 quarts of potato salad. How many potatoes are required to make 4 quar

ts of potato salad?
Mathematics
1 answer:
liberstina [14]3 years ago
5 0

Answer:

10 potatoes.

Step-by-step explanation:

Let x be the number of  potatoes.

Then by proportion:

30/12 = x/4

12x = 4*30 = 120

x = 10.

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Questions attached as screenshot below:Please help me I need good explanations before final testI pay attention
Nikitich [7]

The acceleration of the particle is given by the formula mentioned below:

a=\frac{d^2s}{dt^2}

Differentiate the position vector with respect to t.

\begin{gathered} \frac{ds(t)}{dt}=\frac{d}{dt}\sqrt[]{\mleft(t^3+1\mright)} \\ =-\frac{1}{2}(t^3+1)^{-\frac{1}{2}}\times3t^2 \\ =\frac{3}{2}\frac{t^2}{\sqrt{(t^3+1)}} \end{gathered}

Differentiate both sides of the obtained equation with respect to t.

\begin{gathered} \frac{d^2s(t)}{dx^2}=\frac{3}{2}(\frac{2t}{\sqrt[]{(t^3+1)}}+t^2(-\frac{3}{2})\times\frac{1}{(t^3+1)^{\frac{3}{2}}}) \\ =\frac{3t}{\sqrt[]{(t^3+1)}}-\frac{9}{4}\frac{t^2}{(t^3+1)^{\frac{3}{2}}} \end{gathered}

Substitute t=2 in the above equation to obtain the acceleration of the particle at 2 seconds.

\begin{gathered} a(t=1)=\frac{3}{\sqrt[]{2}}-\frac{9}{4\times2^{\frac{3}{2}}} \\ =1.32ft/sec^2 \end{gathered}

The initial position is obtained at t=0. Substitute t=0 in the given position function.

\begin{gathered} s(0)=-23\times0+65 \\ =65 \end{gathered}

8 0
1 year ago
Please help with three questions!! Worth 98 points!!
qwelly [4]

Answer:

Please show us the questions and will help further this discussion.


4 0
3 years ago
Read 2 more answers
If possible step by step explanation. thank you!
elixir [45]

Answer:

A

Step-by-step explanation:

\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3

(3x^2)^\frac{1}{2} = 3^\frac{1}{2} x

Remember that \frac{x^b}{x^c} =x^(b-c)

Using that \frac{3^\frac{1}{2}x }{3^\frac{1}{2} }=3^(1/2x-1/2)=3^((x-1)/2)

3^\frac{x-1}{2} =3^1

So we can say: \frac{x-1}{2} =1, because the bases are the same

We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.

7 0
2 years ago
HELP:. In baseball, the distance from the pitcher's mound to the batter is 60.5 feet. A pitcher can throw the baseball at 121 fe
zheka24 [161]
<h3>Answer:  D. 5 blinks</h3>

=========================================================

Explanation:

First we'll need to find out how long it takes for the ball to go from the pitcher to the batter.

It needs to travel 60.5 feet and does so at a speed of 121 ft/sec

distance = speed*time

time = distance/speed

time = (60.5 ft)/(121 ft per sec)

time = 0.5 seconds

In half a second, the ball is from the pitcher to the batter.

------------

An eye blink is 0.1 second which means we can form this equation

0.1 second = 1 blink

We multiply both sides by 5 to get the "0.1 second" to turn into "0.5 seconds".

So,

0.1 second = 1 blink

5*(0.1 second) = 5*(1 blink)

0.5 seconds = <u>5 blinks</u> which points us to choice D.

3 0
2 years ago
What is 34 * 67 equal too?
Yanka [14]
2,278.
24 x 67 is 2,278
5 0
3 years ago
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