Water is shot straight up out of a water soaker toy.
The quadratic function y = –16x2 + 32x models the
height in feet of a water droplet after x seconds. How
long is the water droplet in the air?

Help!

Answers

Answer 1

Answer:

The water droplet is in the air for two seconds.

Step-by-step explanation:

You can solve this by finding the times at which its height is zero.  The lesser of the two values will be upon launch, and the greater upon landing:

y = -16x² + 32x

Let y = 0

-16x² + 32x = 0

factor -16 out:

x² - 2x = 0

complete the square:

x² - 2x + 1 = 1

and solve for x

(x - 1)² = 1

x - 1 = ±1

x = 1 ± 1

x = 0, 2

So the water is at a height of zero at zero seconds and two seconds.  It's thus in the air for two seconds.


Related Questions

20% of 2 is equal to

A. 20

B. 4

C. 0.4

Answers

Answer:

C

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

I dont have any explanation (sorry)

Which is the way to express 10+12 as the product of the GCF and another sum?

Answers

Answer:

The answer is pretty simple it's 12+10

Step-by-step explanation:

(49 points)
Find the surface area to the nearest tenth. (Only round on the last step)

Answers

Answer:

885.18

Step-by-step explanation:

Base = 18x18=324

triangles = 1/2(18)height

To find the height, you could divide it in half and use the 30-60-90 rule or Pythagorean theorem.

9²+b²=18²

81+b²=324

b²=324-81

b²=243

b=√243

b=15.58

So each triangle is 1/2(18)(15.58845)=140.2961.

Four of them would be 561.1845.

Now add the base.

561.1845+324=885.1844

Answer:

885.2

Step-by-step explanation:

The other answer is almost correct they just rounded wrong.

I just did the test.

57/4 × 1/6 = 57/24 =

Answers

57/24 = 19/8 (divide numerator and denominator by 3)

Hope this helps.

Q) 57/4 × 1/6 = 57/24 = ?

→ 57/4 × 1/6

→ 57/24 = 19/8

Therefore the final answer is,

→ 57/4 × 1/6 = 57/24 = 19/8


Find cos(a) in the triangle,

Answers

Cos (a) = 35/37
.....

ackground information: A manuscript is a handmade book. They were often illustrated with hand-produced drawings, a process called “illumination.” They were very expensive to produce and own in the Middle Ages.

Read this excerpt from “Fashion in the Middle Ages” on manuscripts.

Why did illuminators choose certain types of clothing for figures that appeared in manuscripts?

Answers

Answer:

A.to reinforce the social hierarchy of the Middle Ages

Step-by-step explanation:

i took the assignment

Answer:

the guy is right its a.

Step-by-step explanation:

You roll a die 8 times. What is the probability of rolling EXACTLY six fours?

Answers

Answer:

it should be did the math 1/5

I believe it is 1/5 please let me know if I’m right

Factor the polynomial: b2−12b+36

Answers

So to factor this, you have to realize a few factors.
•You have to find two numbers that multiply to make the last number (36) and add up to the second number (-12b).
•Since the last number in the equation (36) is positive, and the second number in the equation (-12b) is negative, you know that you will have to multiply two negative numbers to get 36, because the two numbers have to add to -12.

So when looking at factors of 36 -
1, 36
2, 18
3, 12
4, 9
6, 6

Looking here, 6 and 6 would be the most to be the answer.
You turn these negative and =

-6 x -6 = 36
-6 + -6 = -12

Answer: (x - 6) (x - 6) or (x - 6)^2

HELPPPPP I WILL GIVE U THE BRAINLEST!!!!
What is the diameter, if the circumference is 24? Round all answers to the nearest
hundredth.

Answers

If the circumference is 24 then the diameter in inches 75.398 and in centimeters is 191.51


I WILLL GIVE THE BRAINLEST!!!!
If a circle has a radius of 4 cm, what is the circumference? Enter a numerical value
only. Round all answers to the nearest hundredth.

Answers

Answer:

25.13

Step-by-step explanation:

C=2πr=2·π·4≈25.13274cm

C= 2π*r = 2*3.14*4 = 25.12
C= 25.12

Select all the expressions that are equivalent to 15 – 5x.
–5(x – 3)
3(5 – x)
–5(3 – x)
–3(–5 + 2x) + x
5(3 – x)'

Answers

1)-5(x-3)= -5x+15
2) 3(5-x)= 15-3x
3) -5(3-x)= -15+5x
4)-3(-5+2x)+x=-5x+15
5)5(3-x)= 15-5x
Your answer would be 5) 5(3-x).

Answer:

-3(-5+2x)+x

Step-by-step explanation:

First you have to use Distributive Property and multiply -5 and 2x by -3. you should have -6x+15+x. then you have to combine like terms but subtract -6x and x which gives us 5. your answer should be -5x+15.  You can rearrange the answer to be 15 - 5x.

What is the circumference of a circle with a radius of 14? Use 3.14 for Pi.

Answers

Answer:

87.92cm

Step-by-step explanation:

C=2pir

= 2×3.14×14

=87.92cm

Answer:

87.96

Step-by-step explanation:

C = 2πr

C = 2(3.14)14

C = 6.28(14)

C = 87.96

11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80​

Answers

Answer:

[tex]A). \: \$31,411.80[/tex]

Step-by-step explanation:

[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]

Answer:A

Step-by-step explanation:

a number x is greater than 7 graph line

Answers

I graphed this line below.

Start with an open dot on 7.

The reason we use an open dot is because x

does not equal 7, it is only greater than 7.

So from your open dot, draw an arrow to the right

to represent all numbers greater than 7.

Finally, state your answer in set notation if possible.

It is read as {x: x > 7}.

i will give brainliest to the right answer:)ty sm!!

Answers

Answer:

c must be less than 10 but greater than 4.

Step-by-step explanation:

In order to solve this problem, you have to apply the triangle inequality theorem. This theorem is used to determine whether or not you can form a triangle. According to the theorem, the sum of the two sides must be greater than the longest side of the triangle.

For instance, a triangle has side lengths 4, 5, and 7.

Can you form a triangle with these values?

Well, let's see

Since 4 and 5 are values less than 7, you are going to be adding those numbers. 4 plus 5 is 9. 9 is greater than 7. This means that you can form a triangle with those numbers.

For this question, you are given a triangle that has the side lengths of 3 inches, 7 inches, and c inches. The question wants the range of values. Make c the shortest side and the longest side.

Let's start with longest first.

take 3 and 7

Add them and you will get 10.

10 is greater than c. or c<10.

For the shortest side make 7 the longest

3 plus c is less than 7

subtract 3 from both sides

then you get c is less than 4. or c<4.

So you have c<4 and c>10.

combine them to make a long inequality.

4<c<10.

That is your answer.

Arrange these numbers in ascending order and then find the middle number 0.44,0.09,0.48,0.032,0.5

Answers

0.09,0.032,0,5,0.44,0.48

Use the table to answer the question.
x 0 13 4 6
y 0 1 9 16 36
Which equation represents the relationship between x and y in the table?

Answers

Answer:

y = x ÷ x

Step-by-step explanation:

x = 13

y = 13 ÷ 13

y = 1

so y = x ÷ x

Where could point E be located on the coordinate plane? I’ll mark you as brainliest! Quadrant one, or Quadrant two, or Quadrant three or , Quadrant four , or Y axis, or X axis?

Answers

Quadrant II and III
Negative x is in the left side of the graph
Y is not zero so it isn’t at the x axis &cant be at the y axis cuz (x) should be negative

maybe quadrant || is the right, I Don't know if this right or wrong

58 + 18 =
78-58=
335+415

Answers

Answer:

78

20

750

Step-by-step explanation:

3.3.4 Practice: Angle Relationships in Triangles

Practice

Math 8 Sem 2

Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.


1. What is the measure of ∠4? Explain how you know.


Write your answer in the space below.


2. What is the sum of the measures of the angles in a triangle?


Write your answer in the space below.


3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?


Write your answer in the space below.


4. What is the measure of ∠1? Explain.


Write your answer in the space below.

5. Find the measure of ∠2. Explain how you found its measure.


Write your answer in the space below.


6. What is the measure of ∠3? Explain.


Write your answer in the space below.

Answers

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

Good luck!

Step-by-step explanation:

Find the value of y when x=2; 4y=5(x-1)

Answers

4y=5(2-1)
Subtract what's in the parentheses
4y=5(1)
Multiply 5(1)
4y=5
Divide by 4 to get y by itself
Y=5/4

Answer:

y = 1.25 and/or 1 1/4

Step-by-step explanation:

Substitute 2 for x in the equation.

4y = 5(2-1)

4y = 5(1)

4y = 5

Divide 5 by 4 to isolate the variable.

y = 1.25 and/or 1 1/4

Multiply and simplify. (4x−7)(x+5)

What is the answer?
Question 3 options:
5x−2
5x2+13x−35
4x2+13x−35
4x2+27x+35

Answers

Answer:

C) 4x^2 + 13x - 35

Step-by-step explanation:

(4x-7)(x+5)

4x × x + 4x × 5 - 7x - 7 × 5

4x^2 + 20x - 7x - 35

4x^2 + 13x - 35

Jollene’s starting balance on her credit card was $89.45, and she made purchases of $254.67 and $109.62 during the month. She also made a payment of $125. If the finance charge is 1.4% per month on the unpaid balance, find the new balance at the end of the month.

$328.74
$453.87
$429.63
$329.99

Answers

Answer:

329.99

Step-by-step explanation:

This is the right answer on the test

Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х

Answers

Answer:

hope it helps it is donr by using pythogorous theorem

The third side of the right triangle is 10.72 unit.

What is Pythagoras theorem?

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

Given, the side of right triangle is;

Let H be hypotenuse = 14

And P be perpendicular = 9

Then to find third side base be B,

we use the Pythagoras theorem;

(H)² = (P)²+(B)²

Rearranging,

(B)² = (H)² - (P)²

(B)² = (14)² - (9)²

(B)² = 196 - 81

(B)² = 115

B = 10.72 unit.

Therefore, the third side is 10.72 unit.

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

2.16 with 6 repeated as a fraction

Answers

Answer: 13/6

Step-by-step explanation:

*NOTE* - 0.16666 is equavilent to 1/6

We can use the sum of fractions to write out the decimal:

We can see that 0.16666...is the fraction 1/6 therefore the decimal is

2.16666...= 2 + 1/6 = 13/6

- Hope this helps!

13/6 hope that helps the first Pearson was correct

1+1+2+8+10-36-36%12845+86%29?​

Answers

Umm so I’m thinking -12,470, but in scientific notation it is -1.247 x 10^4
1+1+2+8+10-36-36%12845+86%29?

The answer is -22

Find area of the triangle ABC with angle A = 71.273 degree, length b = 12.6 and length


C= 12.8. Write your answer round to the nearest tenths.

Answers

Answer:

im not sure if this is right or not but you can try it if you want

Step-by-step explanation:

A. 75.8 square units B. 76.4 square units C. 76.8 square units D. 79.4 square units

The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.

Answers

Answer:

45, 45 and 90 degrees

Step-by-step explanation:

Complete question

The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. Find the measure of each angle

Let the sum of the angles be 180 degrees

X = x

Y = x

If Z is twice the measure of angle Y, then;

Z = 2x

Taking the sum

<X + <Y + <Z = 180

x+x+2x = 180

4x = 180

x = 180/4

x = 45

since Z = 2z

Z = 2*45

Z = 90

Hence the measure of the angles X, Y and Z are 45, 45 and 90 respectively

Find the size of angle x.
82
29
х

Answers

Answer:

Exterior angle= Sum of opposite angles

x= 82°+ 29°

x= 111°

7th grade math help 10 puts thanks in advance

Answers

Answer:

m<1= 61

m<2= 119

m<3= 61

m<4= 119

m<5= 119

m<6= 61

m<7= 119

hope this helped :)

Step-by-step explanation:

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Which of the following is true about temperate forests?They receive little rain throughout the year.The temperate forest experiences seasonal changes.The temperate deciduous forest has cold summers and warm winters.They are barren and have few trees. Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.A. $74,349.96B. $14,349.96C. $77,349.96D. $17,349.96 AWARDING BRAINLIEST AND POINTSExplain the difference between the 1964 Civil Rights Act and the 1965 Voting Rights Act. do you think this answer is referring to 11 or 12 ? What is an institutional animal care and use committee (IACUC)? Name one way it is similar to an institutional review board (IRB) and one way it differs from an IRB. Which diagram shows the pattern of magnetic field lines around a bar magnet? Mass of the Graduated Cylinder(only air)(g) Mass of the Graduated Cylinder withWater (g) Calculated Mass of Water (g)73.7 73.7 0.0A student collected the above data for this experiment. What error did he make? Explain. HELPPP LOLZUse the terms natural rights and social contract to describe how some Enlightenment thinkers viewed the purpose of government. calculate x. (geometry)im in need of help, its due in like 14 minutes Odszukaj w tekcie fragmenty w ktrych jest mowa o uczuciach Bezpryma i mieszka zwizanych z przedstawion sytuacj ktre z podanych sformuowa najlepiej opisuj In Roosevelt's first inaugural address, he addresses the hardships the country isexperiencing due to what?A. The Great WarB. The Great DepressionC. World War IID. World War I what is this one pls helpppp calvin has a fever with 38.5 degrees celsius, after taking medicine it drops by 2 degrees celsius. write the temperature of calvin after taking medicine The value of a fifth stock, stock E, changed by 2 1/2 times as much as Stock D. What is the change in value in Stock E? help follow the polyas method After the production of eggs, these cells will directly travel to the *Sperm ductTestisoviductegg cell What do Tom and Daisy seem to think about Gatsby's party? Chapter 6 1 Qu relacin tienen los problemas de la pandemia con el texto?2 Por qu crees que es importante el amor al prjimo, para acercarse a Dios?3 Por qu los principios que me ensean en mi hogar son fundamentales en mi vida diaria? how do you count to 55 How were the roles of Athens and Sparta in the Persian war alike and different?