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madreJ [45]
3 years ago
10

mark as brainliest!!!! A flare was launched straight up from the ground with an initial velocity of 176ft/s and returned to the

ground after 11 s. The height of the flare t seconds after launch is modeled by the function f(t)=−16t2+176t . What is the maximum height of the flare, in feet?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0
I think 484 is the answer because, 0=t(-16t+176)  x=0 and  x=11.To get the add up the x intercepts and divide by 2 you should get that x=5.5.
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If<br> 4²+3²/4²−3² =7/4<br> , find the value of<br> 24−11⁴/24+11⁴
svetoff [14.1K]

Solve using PEMDAS for the numerator and denominator.

24-11^4/24+11^4

24-14641/24+14641

-14617/14665

Best of Luck!

4 0
3 years ago
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degrees°F and a standard deviation of 0.6
mylen [45]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n=106

Sample mean : \overline{x}=98.3^{\circ}\ F

Standard deviation : \sigma= 0.69^{\circ}F

Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Then , 99​% confidence interval estimate of the mean body temperature of all healthy humans will be :-

98.3\pm (2.576)\dfrac{0.69}{\sqrt{106}}\\\\\approx98.3\pm0.173=(98.3-0.173,\ 98.3+0.173)=(98.127,\ 98.473)

Since 98.6 is higher than the upper limit of the confidence interval (98.473), then this suggest that the mean body temperature could be lower then 98.6 degrees.

The best estimate of population mean is always the sample mean. \mu=\overline{x}=98.3^{\circ}\ F

7 0
3 years ago
What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?
olchik [2.2K]

Option A: \frac{1}{3} is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}

Also,

\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}

Dividing A'C' by AC, we have,

\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}

Thus, \frac{1}{3} is the dilation factor

3 0
3 years ago
Read 2 more answers
I don't really get it. it would be amazing if you help and show work
eimsori [14]
Change of y / over change of x
Go over 4, up 45
B is your correct answer
Hope this helps!
7 0
3 years ago
Read 2 more answers
The table shows an estimate of costs at Central Texas College for 1 year. What is a reasonable savings goal to meet the cost of
asambeis [7]
The average cost of a semester is 1200 in state tuition including books and meal plans for a yearly cost and the two year fee it would be around 4000
5 0
3 years ago
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