1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
3 years ago
5

You are riding a roller coaster when a shoe falls off your foot. The function y=200−16t^2 represents the height y (in feet) of t

he shoe t seconds after it falls off your foot. The shoe lands on the top of a 31-foot-tall building. After how many seconds does the shoe hit the building?

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
A graphing calculator shows it takes 3.25 seconds for the shoe to hit the building.

_____
200 -16t^2 = 31
169 = 16t^2
√(169/16) = t
t = 13/4 = 3 1/4

You might be interested in
Total Price: The sales tax rate is 5%. If the sales tax on a 10-speed bicycle is $9, what is the purchase price?
Lesechka [4]

Answer:

The purchase price is $180

The total price is: $189

Step-by-step explanation:

Sales tax rate = 5\%

Sales tax on bike = $9

We need to find the purchase price.

Let purchase price = x

We know that Sales tax = 5% of x

and Total price = Purchase Price + Sales tax

So, we can write:

Sales tax = 5% of x

Putting values and finding x

9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180

So, the value of x i.e Purchase price = $180

The purchase price is $180

Now finding the total price of bicycle

Total price = Purchase Price + Sales tax

Total price = 180 + 9

Total price = $189

So, The total price is: $189

6 0
3 years ago
Help me as soon as possible PLEASE HELP
disa [49]

Answer:

QRT = 47, TRS = 133

Step-by-step explanation:

Since QRS is a line, QRT + TRS = 180.

QRT+TRS=180\\3x+5+10x-7=180\\

Then, solve for x. Combine like terms.

13x-2=180\\13x=182\\x=14

Then, plug in 14 for x.

1. (3*14+5)\\\\QRT = 47\\\\2. (10*14-7)\\\\TRS = 133

7 0
3 years ago
Find the inverse of the given​ matrix, if it exists.Aequals=left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 0 3
BabaBlast [244]

Answer:

A^{-1}=\left[ \begin{array}{ccc} \frac{1}{9} & \frac{4}{27} & - \frac{2}{27} \\\\ \frac{8}{9} & \frac{5}{27} & \frac{11}{27} \\\\ - \frac{4}{9} & \frac{2}{27} & - \frac{1}{27} \end{array} \right]

Step-by-step explanation:

We want to find the inverse of A=\left[ \begin{array}{ccc} 1 & 0 & -2 \\\\ 4 & 1 & 3 \\\\ -4 & 2 & 3 \end{array} \right]

To find the inverse matrix, augment it with the identity matrix and perform row operations trying to make the identity matrix to the left. Then to the right will be inverse matrix.

So, augment the matrix with identity matrix:

\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 4&1&3&0&1&0 \\\\ -4&2&3&0&0&1\end{array}\right]

  • Subtract row 1 multiplied by 4 from row 2

\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 0&1&11&-4&1&0 \\\\ -4&2&3&0&0&1\end{array}\right]

  • Add row 1 multiplied by 4 to row 3

\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 0&1&11&-4&1&0 \\\\ 0&2&-5&4&0&1\end{array}\right]

  • Subtract row 2 multiplied by 2 from row 3

\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 0&1&11&-4&1&0 \\\\ 0&0&-27&12&-2&1\end{array}\right]

  • Divide row 3 by −27

\left[ \begin{array}{ccc|ccc}1&0&-2&1&0&0 \\\\ 0&1&11&-4&1&0 \\\\ 0&0&1&- \frac{4}{9}&\frac{2}{27}&- \frac{1}{27}\end{array}\right]

  • Add row 3 multiplied by 2 to row 1

\left[ \begin{array}{ccc|ccc}1&0&0&\frac{1}{9}&\frac{4}{27}&- \frac{2}{27} \\\\ 0&1&11&-4&1&0 \\\\ 0&0&1&- \frac{4}{9}&\frac{2}{27}&- \frac{1}{27}\end{array}\right]

  • Subtract row 3 multiplied by 11 from row 2

\left[ \begin{array}{ccc|ccc}1&0&0&\frac{1}{9}&\frac{4}{27}&- \frac{2}{27} \\\\ 0&1&0&\frac{8}{9}&\frac{5}{27}&\frac{11}{27} \\\\ 0&0&1&- \frac{4}{9}&\frac{2}{27}&- \frac{1}{27}\end{array}\right]

As can be seen, we have obtained the identity matrix to the left. So, we are done.

6 0
3 years ago
A group of 11 people are going to the movies one Saturday. Adult tickets cost $12.50 each and child tickets cost $7.75 each. If
Lostsunrise [7]
The answer is B. 5 !!
3 0
3 years ago
Can someone please help me with this
krek1111 [17]

Step-by-step explanation:

0.1 repeating is 1/9, so the number is 4 1/9.

5 0
3 years ago
Other questions:
  • sally has 20 coins in her piggy bank,all dimes and quarters. The total amount of money is $3.05. How many of each coin does she
    12·2 answers
  • Geometry help asap please
    6·1 answer
  • What expression represents"one third of the difference between fifteen and some number"?
    10·1 answer
  • Look at the picture and plzz help me
    15·2 answers
  • A ramp slopes from a warehouse door down to the street. The height of the ramp is 5 feet, and the ramp ends 10 feet from the bas
    14·2 answers
  • Whats the Answer? I need help and quick
    15·2 answers
  • © Write a Pythagorean triplet<br> whose<br> one member is 50
    9·1 answer
  • At a store each notebook has a cost of x dollars. Which situation can be represented
    7·2 answers
  • PLEASE HELP ME!!!!<br><br> What is 567-58y+375-56=13c-5s-456x249=?<br><br> I NEED HELP!!
    8·1 answer
  • The Pythagorean theorem can only be used with witch type of triangle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!