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Margaret [11]
2 years ago
14

Anchara drops a penny from a height of 60 feet above the ground. The equation h=-16t^2 + 60 models the penbys height h i feet as

a function of time t in seconds whatvare the solutions
Mathematics
1 answer:
weeeeeb [17]2 years ago
7 0

Answer:

t = 1.94 seconds

Step-by-step explanation:

we have to solve the following polynomial equation:

-16t² + 60 = 0

16t² = 60

t² = 60/16 = 3.75

t = √3.75 = 1.936491673 seconds

the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option

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Use the given transformation to evaluate the integral. 9 x − 3y 2x − y dA, R where R is the parallelogram enclosed by the lines
hichkok12 [17]

\displaystyle\iint_R(9x-3y)(2x-y)\,\mathrm dA

\begin{cases}u=x-3y\\v=2x-y\end{cases}\implies\begin{cases}x=\frac{3v-u}5\\y=\frac{v-2u}5\end{cases}\implies\mathrm dA=|\det J|\,\mathrm du\,\mathrm dv

where J is the Jacobian matrix for the transformation,

J=\begin{bmatrix}u_x&u_y\\v_x&v_y\end{bmatrix}=\begin{bmatrix}-\dfrac15&\dfrac35\\\\-\dfrac25&\dfrac15\end{bmatrix}\implies|\det J|=\dfrac15

We have

9x-3y=8x+x-3y=\dfrac85(3v-u)+u=\dfrac{24v-3u}5

so that the integral is

\displaystyle\frac1{25}\int_9^{10}\int_0^{10}(24v-3u)v\,\mathrm du\,\mathrm dv=\boxed{\frac{4051}5}

5 0
3 years ago
Charles ran 3 miles in 15 minutes. At that rate, how long would it take him to run 8 miles?
katrin [286]
Well first you need to find the unit rate. Divide 15 by 3.....get 5 minutes for 1 mile. Then you would multiply 5 by 8 which is 40 so 40 minutes (B) is your answer :)
8 0
3 years ago
Read 2 more answers
After which value of x does function g exceed function f
nalin [4]
We have that

for x=1
f(x)=1.5  and g(x)=-1
so
g(x) < f(x)

for x=2
f(x)=5  and g(x)=5
so
g(x)= f(x)

for x=3
f(x)=9.5  and g(x)=23
so
g(x) > f(x)

therefore

the answer is
<span>After x=2 function g exceeds function f</span>


5 0
3 years ago
Help please!!!! I’ll appreciate it so much!
bazaltina [42]

Answer:

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14. x = -16

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Step-by-step explanation:

5 0
3 years ago
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What value should replace the "?" to make the equations parallel?
Otrada [13]
The same slope would make the equations parallel. Therefore 5/3 would make them parallel.
8 0
3 years ago
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