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Nezavi [6.7K]
4 years ago
13

A ball is thrown from an initial height of 4 feet with an initial upward velocity of 17ft/s. The ball's height h (in feet) after

t seconds is given by the following h=4+17t-16tsquare. Find all values of for which the ball's height is 8 feet
Mathematics
1 answer:
iVinArrow [24]4 years ago
4 0
Use quadratic formula 
8= 4 +17t -16t^2
16t^2 - 17 t + 4
answers (17 + square root (33)) /32 and  (17 - square root (33)) /32
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Logarithm help needed
sashaice [31]

Answer:

See below.

Step-by-step explanation:

Helen made a mistake in the last step.

2^(4/3) / e = (∛(2^4) / e  = ∛(16) / e .

It is the cube root of  2^4 not the 4th root of 2^3.

Stephen made a mistake in the first step.

He replaced ln2 by 2 which is evidently wrong (e^ln2 = 2  NOT ln 2).

4 0
3 years ago
Find the volume of the sphere
nekit [7.7K]

Answer:

2144.66 cubic yards

3 0
3 years ago
X2 +8x+16=0 in factoring algorithm
Setler79 [48]

Answer:

(x+4)^2 =0

Step-by-step explanation:

x2 +8x+16=0

What 2 numbers multiply to 16 and add to 8

4*4 = 16

4+4 =8

(x+4) (x+4) =0

(x+4)^2 =0

4 0
3 years ago
In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4
Varvara68 [4.7K]

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

8 0
3 years ago
Choose the equation of the horizontal line that passes through the part point (1,-5)
vladimir2022 [97]
We know is a horizontal line, so, if it passes through 1,-5, it also passes through "whatever", -5, like 20, -5 or 1000000, -5, or -100000000, -5 and so on.

so, let's pick another point say -7, -5, check the picture below, and let's check about the equation that runs through it,

\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 1 &,& -5~) 
%  (c,d)
&&(~ -7 &,& -5~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-5)}{-7-1}
\\\\\\
\cfrac{-5+5}{-7-1}\implies \cfrac{0}{-8}\implies 0
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=0(x-1)
\\\\\\
y+5=0\implies y=-5

4 0
3 years ago
Read 2 more answers
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