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Westkost [7]
3 years ago
14

Ben dives from a 10-foot platform. the equation h = -16 t 2 27t 10models the dive. how long will it take ben to reach the water?

Mathematics
1 answer:
klio [65]3 years ago
3 0
So i'm assuming your eqtn is    h = -16t^2 + 27t + 10
and we're looking for t = ?    when  h = 0

=>  16t^2 - 27t - 10 = 0
        (16t + 5)(t - 2) = 0

t = 2  and t = -5/16

answer  2 seconds
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If the line in the graph is shifted up two units which is the equation of the new line
anastassius [24]

Answer:

f(x) + 2.

Step-by-step explanation:

Example:

If we have say f(x) = x + 1 then 2 units will be added to f(x) when it is moved up 2 units.

So the equation of this line will be f(x) + 2 which in this example is

x + 1+ 2.

The new function is  x + 3.

5 0
3 years ago
The company Drug Test Success provides a "1-Panel-THC" test for marihuana usage. Among 300 tested subjects, results from 27 subj
Sindrei [870]

Answer:

There is evidence for the claim that less than 10% of the test results are wrong

Step-by-step explanation:

Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.

Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)

Sample proportion = \frac{27}{300} \\=0.09

H0: p = 0.10

Ha: p <0.10

(left tailed test)

p difference = 0.09-0.10 = -0.01

Std error = \sqrt{0.1*0.9/300} \\=0.005196

z statistic = -1.9245

p value = 0.027

Since p <0.05 we reject H0

There is evidence for the claim that less than 10% of the test results are wrong

6 0
3 years ago
A semi-circle window can be used above a doorway or as an accent window
anzhelika [568]

A semicircle is a part of a circle, and it is referred to as half of a given circle. Thud the area of the <em>semi-circle</em> window is 982 in^{2}.

A circle is a shape that is <u>bounded</u> by a <em>curved</em> path which is referred to as the <em>circumference</em>. Some <u>parts</u> of a circle are radius, diameter, sector, arc, semi-circle, circumference, etc.

A <em>semicircle</em> is a <u>part</u> of a <u>circle</u>, and it is referred to as <em>half </em>of a given <em>circle</em>.

such that:

<em>Area</em> of a <u>circle</u> = \pi r^{2}

and

area of a <u>semicircle</u> = \frac{\pi r^{2} }{2}

where: r is the <u>radius </u>of the <u>circle</u>, and \pi is a <u>constant </u>with a value of \frac{22}{7}.

Thus from the given question, it can be inferred that;

r = \frac{50}{2}

 = 25

r = 25 in

Thus, the area of the<em> semi-circle</em> can be determined as;

area of the <em>semi-circle</em> = \frac{1}{2} * \frac{22}{7} * 25^{2}

                                      = 982.1429

area of the semi-circle = 982.14 in^{2}

The area of the <em>semi-circle</em> window is approximately 982 in^{2}.

for more clarifications on the area of a semi-circle, visit: brainly.com/question/15937849

#SPJ 1

8 0
2 years ago
What is the solution of the system? 7x+5y=19 and -7x-2y=-16 Need help ASAP
Stells [14]

Answer:

x = 2, y = 1

Step-by-step explanation:

  • 7x + 5y = 19
  • -7x - 2y = -16

Use the elimination method to solve the system of equations. Add the terms from top to bottom. 7x and -7x cancel out.

0 + 3y = 3

Divide both sides by 3.

y = 1

Substitute 1 for y into the first equation.

7x + 5(1) = 19

7x + 5 = 19

Subtract 5 from both sides.

7x = 14

Divide both sides by 7.

x = 2

3 0
3 years ago
What are all the prime and composite factors of 45
Helen [10]
I may not know many but here it goes...
1,3,5,9,45


Hope this helped you!
3 0
3 years ago
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