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3 years ago

Daniel worked for 213 hours and earned $18.20.

1 answer:

3 0

Hello there! To find out how much Daniel would make if he worked 514 hours, we can write and solve a proportion. Set it up like this:

18.20/213 = x/514

This is because we are looking for the amount of money made after 514 hours of work. That is represented by the variable "x", but we know the amount of hours work, so they are lined up together. Cross multiply the values. 18.2 * 514 is 9,354.8. 213 * x is 213x. So, you are left with 9,354.8 = 213x. Now, divide each side by 213 to isolate the "x". 9,354.8/213 is 43.9192488 and other numbers behind it or 43.92 when rounded to the nearest hundredth. x ≈ 43.92. Daniel would make $43.92 if he worked for 514 hours.

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A second particle, Q, also moves along the x-axis so that its velocity for 0 £ £t 4 is given by Q t cos 0.063 ( ) t 2 v t( ) = 4

Vladimir79 [104]

Answer:

The time interval when $V_Q(t) \geq 60$ is at $1.866 \leq t \leq 3.519$

The distance is 106.109 m

Step-by-step explanation:

The velocity of the second particle Q moving along the x-axis is :

$V_{Q}(t)=45\sqrt{t} cos(0.063 \ t^2)$

So ; the objective here is to find the time interval and the distance traveled by particle Q during the time interval.

We are also to that :

$V_Q(t) \geq 60$ between $0 \leq t \leq 4$

The schematic free body graphical representation of the above illustration was attached in the file below and the point when $V_Q(t) \geq 60$ is at 4 is obtained in the parabolic curve.

So, $V_Q(t) \geq 60$ is at $1.866 \leq t \leq 3.519$

Taking the integral of the time interval in order to determine the distance; we have:

distance = $\int\limits^{3.519}_{1.866} {V_Q(t)} \, dt$

= $\int\limits^{3.519}_{1.866} {45\sqrt{t} cos(0.063 \ t^2)} \, dt$

= By using the Scientific calculator notation;

distance = 106.109 m

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3 years ago

3x+8 •59 solve for x

Marina86 [1]

1) Let's solve for x, writing this equation.

3x +8*59 =0

3x +472=0 <em>Subtract 472 from both sides</em>

3x = -472

x= -472/3 or -157.33

2) So the answer is x= -472/3

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1 year ago

Is this expression a perfect square trinomial?

Katyanochek1 [597]

Yes it is (10x-y)^2 is the answer of it

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3 years ago

Troy made 4 out of 7 jumps on his dirt bike. What percentage of jumps did he make?

Artist 52 [7]

Answer:

57.142858%

Step-by-step explanation:

I didn't know if you wanted the entire answer, so I just gave it anyway.

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2 years ago

Find 3/7 of 21? Can you find this answer because my homework I do not know how to do so can you please find this question.

const2013 [10]

Answer:

Step-by-step explanation:

3/7 multiplied by 21 = 3/7 x 21 = 9 = 3/7 x 21/1 = 63/7 = 9

Or if you can't do the math - Think of a pizza with 21 slices . Now cut this pizza into 7 equal parts. You will find that each part contains exactly 3 slices. Now, eat 3 of these parts. With three slices in each part, you ate 9 slices - which is three sevenths of 21.

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2 years ago

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