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tatyana61 [14]
3 years ago
15

A ball is thrown from a height of 70 feet with an initial downward velocity of 4/fts. The ball's height h (in feet) after t seco

nds is given by the following.
h=70-4t-16t^2

How long after the ball is thrown does it hit the ground?

Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Mathematics
1 answer:
torisob [31]3 years ago
3 0
In this one, you must make h = 0.

You get : -16t^2-4t+70 which can be further simplified to 8t^2+2t-35 if you divide all of the numbers by -2.

Here you can use the quadratic formula again!
You get the numbers to be : 1.97 and -2.22

I had made a mistake to think that negative numbers can be included but in these questions, you can't have negative numbers as your answer. So the correct answer is 1.97!


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A tuter promises to improve GMAT scores of students by more than 50 points after three lessons. To see if this is true, the tuto
creativ13 [48]

Answer:

t48 = 1.7500

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=test value before , y = test value after  

The system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x \geq 50

Alternative hypothesis: \mu_y -\mu_x >50

We have the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=53

And the sample standard deviation for the differences, is:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =12

Now we can calculate the statistic given by :

t=\frac{\bar d -\Delta}{\frac{s_d}{\sqrt{n}}}=\frac{53 -50}{\frac{12}{\sqrt{49}}}=1.75

Since we don't have the population standard deviaition we need to use the t distribution and we can calculate the degrees of freedom given by:

df=n-1=49-1=48

Now we can calculate the p value, since we have a right tailed test the p value is given by:

p_v =P(t_{(48)}>1.75) =0.0432

If we use a significance level of 5% we have that p_v, and on this case we reject the null hypothesis . And we don't have enough evidence to conclude that the difference of means it's higher than 50 points.

5 0
3 years ago
Write a doubles fact you can use to find the sum of 6+7
Drupady [299]
<span>We could use 7+7=14 to find the sum of 6+7.

<u><em>Explanation</em></u><span><u><em>: </em></u>
7+7=14 is one of the two closest doubles to 6+7.
We know that:
7 is 1 more than 6; this means:
7+7 will be 1 more than 6+7.
7+7=14, so finding 1 less,
6+7=13.</span></span>
4 0
4 years ago
How can I work this problem in adding integers with counters 5 + (-7)
Anettt [7]

\\ \rm\longmapsto 5+(-7)

\\ \rm\longmapsto 5-7

\\ \rm\longmapsto -2

Note:-

  • (-)(-)=(+)
  • (+)(-)=(-)
  • (-)(+)=(-)
  • (+)(+)=(-)
5 0
3 years ago
Read 2 more answers
About how many years will it take for $4000 to double at a simple interest rate of 9%
Aleksandr [31]

Answer:

about 11 years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$4,000\\ A=\$8,000\\r=9\%=9/100=0.09

substitute in the formula above

8,000=4,000(1+0.09t)

solve for r

2=(1+0.09t)

0.09t=2-1

0.09t=1

t=11.1\ years

8 0
3 years ago
-10x + 35 + 5x = -5x + 20 PLs fix this error and answer it can you also show me the steps so I understand?
Vedmedyk [2.9K]

Answer:

-10x + 35 + 5x simplifies to -5x + 35.

Step-by-step explanation:

Combine Like Terms:

= −10x + 35 + 5x

= (−10x + 5x) + (35)

= −5x + 35

Hope this helps!

6 0
3 years ago
Read 2 more answers
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