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 equation that tells us when the t-shirt hits the ground. b. At what time does the t-shirt hit the ground. SHOW ALL WORK. Round to 2 decimal places.

Answer:

[tex](a)\ -16t^2 + 7t + 63=0[/tex]

[tex](b)\ t = 2.215[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 7t + 63[/tex]

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

This means that [tex]h(t) = 0[/tex]

So, we have:

[tex]h(t) = -16t^2 + 7t + 63[/tex]

[tex]-16t^2 + 7t + 63=0[/tex]

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

[tex]-16t^2 + 7t + 63=0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

This gives:

[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]

[tex]t = \frac{-7 \± 63.88}{-32}[/tex]

Split

[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]

[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]

[tex]t = -1.7775; or\ t = 2.215[/tex]

Time can't be negative; So:

[tex]t = 2.215[/tex]

PLZZZ HELPPPP!!!!
For each of the following statements, create a data set that makes the statement true. Each data set should have at
least 10 data points. For each data set, calculate the mean and the median and construct a boxplot.
a. For one data set, the mean is much less than the median.
b. For one data set, the mean is much greater than the median.
c. For one data set, the mean and median are about the same.

Use the grouping method to factor this polynomial completely.
4x^3 + 8x^2 + 3x + 6
A. (4x^2 + 2)(x+3)
B. (4x^2 + 3)(x+2)
C. (4x^2 + 2)(x+ 2)
D. (4x^2 + 3)(x + 3)

Consider the division of 8y2 - 12y + 4 by 4y.
What are the values of a and b?
8y? - 12y+4
4y
872
4y
- 12V +
+
4
47
4
= a +b+
O a = 2y and b = 3
O a= and b = -3y
O a = 2y and b = -3
O a- } a
o a= 2 and b = 3y

Distributive property of 2x(7+4)

what is the volume in cubic cm of a cylinder with a height of 16 cm and a base radius of 3cm to the nearest tenths place

can someone pls pls help me ?

A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?

Solve 19=4x+3 .



x = __

Six friends are sharing the cost for a pizza
party p equally. Each person paid $15.25.
Find the total cost of the pizza party.

What is the volume of a sphere with a radius of 31.6 cm, rounded to the nearest tenth of a cubic centimeter?

Mrs. Hector is renovating a house. The living room is a rectangle 10 feet long and 15 1/2 feet wide. Mrs. Hector wants to put in new flooring in the living room. Flooring is sold by the square foot for $6.25. How much flooring does she need and how much will it cost? Area = length x width

20% of which number is 30?
A. 1.5
B. 6
c. 15
D. 150
E. 600

B
[2 0]
-2 5
What is the determinant of B?
Your answer

Jane is playing basketball. After a series of 20 shots, Jane had scored 55% of the time. Five shots later, her scoring rate had increased to 56%. On how many of the last five shots did she score

(A) 1

(B) 2

(C) 3

(D) 4

(E) 5

Help ! ASAP! I need it done by 10:45

Find the value of x. Please help

Harry solved a quadratic equation. His work is shown below.
In which step did Harry make an error?
(x - 5)² + 6 = 42
(x - 5)^2 = 36 Step 1
x- 5 = 6 step 2
x = 11 Step 3
Choose 1 answer:
Step 1
Step 2
Step 3

Factor to write an equivalent expression.(What is the Greatest Common Factor?).

−9x+15y

picture, will give brainliest if its correct!!

the p/q form of 0.719 where p and q are integers is​

solv this for T

1/5t + 2- ( ) = 17- ( ) 1/5t = ( ) × 1/5t= ( ) t =​

what is 15 minutes before 4:35? what time would that be? pls answer today!!!

find the diameter of a circle with the circumference of 10cm

how do i find the unit rate?

help me ill give u 11 points if u do this for me !!!

Help me plzz i beg u

A dance group from Round Rock High School is fundraising to travel to a competition. The competition entry fee is only $300 for the entire group, but plane tickets will cost $100 per students. If there are 30 students how much will each student have to fundraise?

- The town development committee is making a dangerous intersection into a four-
way stop. The stop signs are regular octagons with each side measuring 32
centimeters. The apothem of the sign is approximately 38.63 centimeters long.
About how many square meters of metal will be needed for all 4 stop signs? Round
your answer to the nearest thousandth.

PLSSS HELP 50 POINTS AND BRAINLIEST IF U R RIGHT HELP PLSSSSS

2. What is the product of 1/2x-1/4 and 5x^2-2x+6?
(a) Show your work.
(b) Is the product of 1/2x-1/4 and 5x^2-2x+6? equal to the product of 1/4x-1/2 and 5x^2-2x+6? ? Explain your answer

What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?​