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artcher [175]
3 years ago
7

Please help

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

62 feet?

Step-by-step explanation:

uhhhhhhhhhhhhhhhhhh i added the witdth of the moat and the height while also adding the exra feet

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Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t2 - 28t + 60, where t is the
8_murik_8 [283]
So, h(t) is how far is Daniel's head from the surface of the water, namely the surface itself is when the height is nill, so his head is at the surface and the height of it is just 0, thus h(t)  = 0.  Namely, what is "t" when h(t) is 0?

\bf h(t)=-8t^2-28t+60\implies \stackrel{h(t)}{0}=-8t^2-28t+60
\\\\\\
0=-2t^2-7t+15\implies 2t^2+7t-15=0\implies (2t+3)(t-5)=0
\\\\\\
\begin{cases}
2t+3=0\implies 2t=-3\implies &t=-\frac{3}{2}\\\\
t-5=0\implies &\boxed{t=5}
\end{cases}

clearly the seconds cannot be a negative unit, so is not -3/2.
6 0
3 years ago
Solve for a.
egoroff_w [7]

Answer: a=\sqrt{\frac{30}{23} }

Step-by-step explanation:

23a^2=30

Divide by 23

a^2=\frac{30}{23}

Extract the square root.

a=\sqrt{\frac{30}{23} }

3 0
3 years ago
_(9)=(2(1-2(2)^(9)))/(1-2(2))<br><br><br>PLEASE HELP ME OUT.
USPshnik [31]

Answer:

the answer = um ok

Step-by-step explanation:

4 0
3 years ago
What are the solutions of the equation f(x) = g(x), given the following:
emmainna [20.7K]
F(x) = g(x) for x = 1 and x = 3.  Verify that for yourself.
7 0
3 years ago
Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for
yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(100,54) and (660, 138)

substitute

m=\frac{138-54}{660-100}

m=\frac{84}{560}=\$0.15\ per\ minute

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=0.15\\point\ (100,54)

substitute

y-54=0.15(x-100)

step 3

Convert to slope intercept form

Isolate the variable y

y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0
3 years ago
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