40.742
18.4951
3.325
49.126
71.624
118.426
60.2161
26.063
cant believe i just did all of that 4 u but ur welcome anyway
How do you want it? You could say <span>0.0119670905, </span>1.2 * 10^-2, etc.
<u><em>Answer:</em></u>
y = -x² + 60x + 256 in²
<u><em>Explanation:</em></u>
<u>Before we begin, remember the following:</u>
yᵃ × yᵇ = yᵃ⁺ᵇ
<u>Now, for the given problem:</u>
We know that the area of the rectangle is the product of its dimensions (length and width)
<u>This means that:</u>
Area of rectangle = length × width
<u>Now, we are given that:</u>
length of game board = x+4 in
width of game board = -x+64 in
<u>Substitute with the givens in the rule it as follows: </u>
Area of rectangle = length × width
Area of board game = (x+4)(-x+64)
<u>Use the distributive property, compute the product and gather like terms as follows:</u>
Area of board game = (x+4)(-x+64)
Area of board game = x(-x) + x(64) +4(-x) +4(64)
Area of board game = -x² + 64x - 4x + 256
Area of board game = -x² + 60x + 256 in²
Hope this helps :)
Answer: For the sum of 130
First: $90
Second: $40
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic
For this case we have an equation of the form:
h (t) = - (1/2) * a * t ^ 2 + vo * t + h0
Where,
vo: initial speed
a: acceleration:
h0: initial height.
We have the following equation:
h (t) = - 16t2 + 19t + 110
Therefore, the initial velocity is:
vo = 19 feet / s
Answer:
The initial velocity when the rock is thrown:
vo = 19 feet / s
