If the denominar is 25 what is the numrater

The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equ

Fittoniya [83]

Answer:

$(a)\ -16t^2 + 7t + 63=0$

$(b)\ t = 2.215$

Step-by-step explanation:

Given

$h(t) = -16t^2 + 7t + 63$

Solving (a): Equation when it hits the ground.

This means that $h(t) = 0$

So, we have:

$h(t) = -16t^2 + 7t + 63$

$-16t^2 + 7t + 63=0$

Solving (b): The value of t in (a)

$-16t^2 + 7t + 63=0$

Using quadratic formula, we have:

$t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

This gives:

$t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}$

$t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}$

$t = \frac{-7 \± \sqrt{4081}}{-32}$

$t = \frac{-7 \± 63.88}{-32}$

Split

$t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}$

$t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}$

$t = -1.7775; or\ t = 2.215$

Time can't be negative; So:

$t = 2.215$

7 0

2 years ago

A circular swimming pool has diameter 60 feet and is centered in a fenced-in square region measuring 80 feet by 80 feet. a concr

borishaifa [10]

If I read the question correctly, the information about the 80x80 fencing and the grass region are all irrelevant information.

In order to find the area of the side walk we are going to use the formula A=pi(r^2) where r = the radius. The diameter of the pool is 60 feet and the the sidewalk is 5 feet bigger all around meaning we had 5 feet to both sides of this 60 feet giving you an overall diameter of 70 feet (or 60 + 5*2). To find the radius take half of the diameter. 70/2 = 35.

Now we plug in 35 to the equation. A = Pi(35^2) = 1225pi. Leave your answer like this as we are not finished and will need to round at the end for an accurate answer. This is NOT the end, that number is the area of the sidewalk AND the pool.

The sidewalk is not a full circle, just a border so we now have to find the area of the actual pool and subtract it from this 1225pi for the sidewalk's area. Same formula, Area = pi(r^2). The diameter of the pool is 60 meaning the radius is 30 (or 60/2). Plug into the equation, pi(30^2) = 900pi.

Now do 1225pi - 900pi to get 325pi. Break out your calculator and hit the approximation button. 325pi is approximately 1021.018 if rounded to 3 decimal places.

The area of the 5-foot wide sidewalk encircling the pool is approximately 1021.018 square feet.

5 0

2 years ago

The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the a

Daniel [21]

<h3>Annual percent growth is 4.37 %</h3>

Solution:

The increasing function is given as:

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate

t is number of years

From given,

a = 5000

y = 9500

t = 1997 to 2012 = 15 years

r = ?

Substituting the values we get,

$9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%$

Thus annual percent growth is 4.37 %

8 0

3 years ago

7. Sundeep travels by train to a meeting in Barcelona.

Nataliya [291]

Answer:

10:10 am.

Steps:

time = distance/speed

time= 270/120

=2 hours and 25 minutes

3 0

2 years ago

A cake with a regular hexagonal top is sliced along each of its 9 diagonals what percent of the resulting 24 pieces are triangle

jeyben [28]

i guess it means that its a cake with a top shaped like a hexagon. if you were to use paper and cut out a hexagon then fold it, you would find out that it has 9 diagonals(meaning that you are able to fold it equally into 9 pieces). when it is unfolded, you will see 24 pieces and you will have to figure out which of the 24 pieces are triangles and which are not. after that, you calculate the percentage of triangles.

after you are finished with the paper, you apply the information to the cake.
i'm not sure if this is right, but you can try it out.

5 0

3 years ago

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