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julia-pushkina [17]

3 years ago

5

What is the final velocity of a runner who is accelerating at 2 feet per second squared for 3 seconds with an initial velocity o

f 4 feet per second

1 answer:

Tatiana [17]3 years ago

3 0

<span>a= 2 ft/s^2 t=3 s vi=4 ft/s vf=? One can use the kinematic equation: vf=vi+at vf=(4 ft/s)+(2 ft/s^2)(3 s)= (4 ft/s)+(6 ft/s)=10 ft/s</span>

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What is the total cost of 0.5 pound of peaches selling for $0.80 per pound and 0.7 pound of oranges selling for $0.90 per pound?

swat32

Given situation : 0.5 pound of peaches selling for 0.80 dollars/ pound 0.7 pound of oranges selling for 0.90 dollars / pound. Solution Given number 1 : Peaches => 0.5 pound = meaning, ½ pound is available, And 1 pound of it costs 0.80 dollars. Let’s solve: => 0.80 dollars * 0.5 => 0.40 dollars – the price of the peaches. Given number 2 : Oranges => 0.7 pounds of oranges, meaning less than 1 pound. And 1 pound costs 0.90 dollars Let’s solve to get the anwer => 0.7 * .90 => 0.63 dollars – the costs of 0.7 pounds of oranges,

7 0

3 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

6 0

3 years ago

Find the solution The graph represents this system of equations.

solong [7]

The solution is the coordinates of the point of intersection

That is (3 , 1)

Its the last choice.

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3 years ago

Read 2 more answers

Mrs. Gartland bought X number of shirts for the new members of record the class for X number of shirts including $3.99 shipping

Ymorist [56]

Answer:

6 shirts were bought

Step-by-step explanation:

12.25x + 3.99 = 77.49

subtract 3.99 from both sides

12.25x = 73.50

divide both sides by 12.25

x = 6

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3 years ago

Round 5685 to the nearest 100

denpristay [2]

The nearest hundred would be mostly the numbers "685".. We know that anything 50 and greater rounds to the next number, so since 85 > 50, we can round that up to 700. Adding the 5000, it would be 5700

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3 years ago