A ball is thrown upward from a height of 15 ft with an initial velocity of 5 ft/s. Use the equation h=-16t^2+5t+15 to answer the following questions. Round to the nearest tenth.

How long will it take for the ball to hit the ground (h=0)?


What is the height of the ball after 0.5 seconds?​

Answers

Answer 1

Answer:

1) 1.1 seconds

2) 13.5 feet

Part A

[tex]\rightarrow \sf -16t^2 + 5t + 15 = 0[/tex]

Apply quadratic formula:

[tex]\rightarrow \sf t= \dfrac{-5\pm \sqrt{5^2-4\left(-16\right)\cdot \:15}}{2\left(-16\right)}[/tex]

Simplify following

[tex]\rightarrow \sf t=-\dfrac{-5+\sqrt{985}}{32},\:t=\dfrac{5+\sqrt{985}}{32}[/tex]

In decimal form:

[tex]\rightarrow \sf t=-0.825 ,\:t=1.137[/tex]

Conclusion:

As time is be only positive: t = 1.1 seconds

Part B

[tex]\rightarrow \sf h=-16t^2 + 5t + 15[/tex]

insert t = 0.5

[tex]\rightarrow \sf h=-16(0.5)^2 + 5(0.5) + 15[/tex]

simplify

[tex]\rightarrow \sf h=13.5[/tex]


Related Questions

Determine the period of the following graph.

Answers

Answer:

4π/2

Step-by-step explanation:

Any one full pattern in the graph is called a cycle, and the length of an interval over which a cycle occurs is called the period.

so the distance between the top of the first 2 waves is 4π/2 so thats the peroid

Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about:

Answers

Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet.

What is stopping distance?

The distance traveled while the driver sees a hazard and applies the brakes, as well as when the vehicle comes to a complete stop from its original speed, is included in the stopping distance.

We have:

Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour

In this case, the stopping distance will be about 63 feet if the stopping distance is more than 20 feet at 10 miles per hour.

Thus, the including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet.

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The radius of a small ornament in the shape of a sphere is 2 inches. what is the approximate volume of the ornament? use 3.14 for pi. round to the nearest tenth of a cubic inch. recall the formula v = four-thirds pi r cubed. inches cubed

Answers

Answer:  33 is your answer my love.

Step-by-step explanation: Hope this helps.

Answer:

33 give the guy above me branliest

Step-by-step explanation:

Please Help me Its a math problem see image attached

Answers

Answer:

C. - 3

Step-by-step explanation:

Average rate of change within an interval is the slope of the endpoints.

The endpoints are:

(- 1, 6) and (0, 3)

The slope is

(3 - 6)/(0 - (-1)) = - 3/1 = - 3

Correct choice is C

Answer: -3

--

To find the Average rate of change within an interval use the slope of the endpoints.

(- 1, 6) and (0, 3)

The slope is

[tex]\frac{3-6}{0-(-1)}=\frac{-3}{1}=-3[/tex]

Hope this helps!

Select the correct line plot that accurately shows the data set above.

Answers

Answer:

B

Step-by-step explanation:

1,2  2,3  1,6  1,9  3,10  2,11  1,13  3,15  3,16  2,17

x,y

x= how many goals they made were the same

y= the actual number of soccer goals

(This is just how I organized how to make the chart)

Five different numbers are such that, 2 are odd, the median is 7, the mean is 8 and all numbers are less than 13. What are the five numbers?​

Answers

Answer : 4 6 7 11 12
Solution :
Another possible solution is 5, 6, 7, 10, 12

the average of two numbers is 41. If one of the numbers is 27, what is the other number?

Answers

The other number if the average of two numbers is 41 and one is 27 is 55

How to calculate the average of numbers?

Average of number is also known as the mean.

Let the unknown number be "x" such that:

x +27/2 = 41

Determine the value of x

x + 27 = 2(41)
x + 27 = 82
x = 82 - 27

x = 55

Hence the other number if the average of two numbers is 41 and one is 27 is 55

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I’ll mark brainly if u answer this

Answers

C

angle AFL would mean the angle would be on F which is wrong

Answer:

C) <AFL

Step-by-step explanation:

The middle angle typically goes in the middle of the three letters. So, the naming should look like <FAL or <LAF. The letter A would have to remain in the middle for the naming to be correct.

Angles can be named in these following ways:

- By three capital letters (vertex (middle point) always in the middle)

In this case it would be <FAL or <LAF.

- By one capital letter (typically the vertex)

In this case it would be <A

- By a lowercase letter or number that is in the middle of the angle

In this case it would be <5.

Therefore, the incorrect naming would be C) <AFL, since the vertex isn't in the middle.

Hope this helps!! If you have questions please let me know in the comments!

B
A
Solve for x and then find the measure of ZB:
LB

Answers

Answer:

because measure A and B are supplemantery ,since the measure of $m(A°)+m(B°)=180°$ , then 6z-48+4z+38=180° → 10z=190 → z=19 , therefore

m(B°)=4(19)+38 → m(B°)=114 ,and m(A°)=6(19)-48=66°

Vince is cutting fabric strips for a project. He needs fabric strips that are 1212 inches wide. He cut his first fabric strip too wide. His percent error was 5%. How wide did Vince cut the fabric strip?

Answers

answer: 1151.4 inches

what I did was if you have 1212 inches and you need to get rid of 5% you would get 1151.4 inches since 1212 times 0.95

Answer:

13.125 inches wide

Step-by-step explanation:

5% more than 12.5 which is 12 1/2 as a decimal, equals 13.125 inches.

Multiply your needed fabric  width (12.5 or 12 1/2) by (1 + %/percent you're increasing it by) to equal the width you cut instead:

[tex]12.5(1+5) = 12.5(1.05) = 13.125[/tex]

simplify square root can you put the steps i would love if you helped me
1. √72
2. √144
3. √45

Answers

Hey mate!

Refer image

the pair of figures to the right are similar. what is the ratio of the perimeters and the ratio of the areas?
the ratio of perimeters is __
the ratio of the areas is __

Answers

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

Step-by-step explanation:

first we divide the given sides of both figures

perimeter=side 1/side 2

=15/25

p=3/5

to find the ratios of the area

=(side 1/side 2)^2

=(3/5)^2

=9/25

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

The volume of this cylinder is 944.11008 cubic centimeters. What is the height?

Answers

Answer:

h = 5.80

[tex]V = \pi r^2h[/tex]

[tex]h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79[/tex] ≈ 5.80

What fraction is equivalent to the decimal number 0.90?(theres a line above the 0.90)

A. 10 over 11

B. 9 over 10

C 1 over 9

D 1 over 90

Answers

Answer:

B

Step-by-step explanation:

The number is in the tenths spot so you do 0.90 times 10 which gives you 9/10.

B. 9 over 10

rewrite decimal to fraction

0.90/1

multiply by 10 to remove decimal

0.90/1 x 10/10

0.90 = 9/10

If Sam can read 20 pages in 30 minutes, how many hours will it take Sam to read 200 pages?

Answers

The answer is 600 your welcome
Answer is 5 hours

Explain
20/30 is to 200/x

20 x 10 = 200 so
30 x 10 = 300 minutes
Divide 300 minutes by 60 minutes in an hour
Answer 5 hours

help me, please!!!!!

Answers

Answer:

x-10+2x+5+35=180

3x-5+35=180

3x=180-50

x=150÷3

x=50

Therefore option D is write answer

Answer:

D   (x = 50°)

Step-by-step explanation:

Angles in a triangle add up to 180°.

             ∴ (2x + 5)° + (x - 10)° + 35° = 180°

                    2x + x + 5 - 10 + 35 = 180

                              3x + 30 = 180

                                  3x = 150

                                    x = 50°

Hope this helps!

the fully simplified form of 2ab÷(8a) is:
A) [tex]\frac{2ab}{8a}[/tex] B) [tex]\frac{4}{b}[/tex] C) [tex]\frac{b}{4}[/tex] D) 4b E) 4a

Answers

Answer:

b/4

Step-by-step explanation:

After rewriting the quotient as a fraction,

[tex]\dfrac{2ab}{8a}[/tex]

We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to

[tex]\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4[/tex]

The egg delivery truck arrives to savers supermarket with 250 dozen eggs. how many total eggs are in that truck.

Answers

Answer:

3000

Step-by-step explanation:

12x250=3000


5. Caroline is 12 years younger than
twice Anna's age.
Caroline is 32 years old. How old is
Anna?

Answers

Answer:

10

Step-by-step explanation:

32 - 12 (because C is 12 years younger) = 20

20 / 2 (because twice Anna's age, so we do the inverse) = 10

Anna is 10 years old.

Hope this helps!

Answer:44

Step-by-step explanation:

4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet

Answers

Answer:

254.34 square feet

Step-by-step explanation:

Area of a circle: πr²

Given:

π = 3.14r (radius) = 9 ft

Substitute the given values into the formula:

A = (3.14)(9)²

A = (3.14)(81)

A = 254.34 ft²

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(PLEASE HELP) What are the values of a and b that make this equation have solutions of {3, -2}? (x + a)(x + b) = 0

Answers

Answer:

x = -a or x = -b

Step-by-step explanation :

what’s the circumference, to this problem ?

Answers

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].

We can then input the value and we get that [tex]C=1*\pi[/tex] which then just narrows down to [tex]C=3.142[/tex].

Hope this helps!  Let me know if you have any questions

PLEASE HELP GIVING BRAINLIST!!!!! What is the perimeter of the shape below?

Answers

Area of the rectangle

LB92(40)3680ft²

Area of trapezoid

1/2(sum of parallel sides)(Height)1/2(5+92)(40-5)1/2(97)(35)3395/21697.5ft²

Total

3680-1697.51982.5ft²

Which unit would probably be used to measure how long a cell phone is?

Answers

Answer:

Mostly millimeter

Step-by-step explanation:

Length has several unit like m,cm, mm, feet, miles, inches, km etc

we measure the length in units which is more understandable or readable. like thickness of mobile is around 3mm to 1cm or we can even measure in inches like .5inch but if we measure it in meter or feet it will be difficult to understand, read and write similarly the unit of length most suitable for measuring the height of a backyard tree is meter or feet because the length of tree is around 10 feet to 25 feet or 2meter to 6meter if we measure the length in cm or mm or in inches then it will be difficult to understand, read and write.

need help asap please

Answers

Answer:

The radius of the circle r=12.

The area of a circle is 144π.

Step-by-step explanation:

The radius of the circle is r where 2πr=24π, r=12.

The area of a circle with radius 12 is

A=πr², A=π12², A=144π.

Emily is a songwriter who collects royalties on her songs whenever they are played in
a commercial or a movie. Emily will earn $40 every time one of her songs is played in
a commercial and she will earn $120 every time one of her songs is played in a movie.
Emily earned a total of $600 in royalties on 11 commercials and movies. Graphically
solve a system of equations in order to determine the number of commercials, x, and
the number of movies, y, on which Emily's songs were played.
a
✓Click twice to plot each line. Click a line to delete it.

Answers

Answer:

x + y = 12

40 x + 120 y = 640

Step-by-step explanation:

The following scatter plot represents a company's sales on a certain product based on its price.
What does −4.8 represent in this linear model?
Pls help asap

Answers

Using linear function concepts, it is found that representation of the value of -4.8 is given by:

It means that there are 4.8 thousand less sales for every dollar the price is increased.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the model for the number of sales(in thousands), with the price at x dollars, is given by:

f(x) = -4.8x + 121.02.

The slope is of -4.8, which means that when x increases by 1, y decreases by 4.8 thousand, hence the correct option is given by:

It means that there are 4.8 thousand less sales for every dollar the price is increased.

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Please see image its a math problem please help!!!!

Answers

Answer:

y = (x + 3)² - 9

Step-by-step explanation:

Parabolic Equation (with vertex) :

y = a(x - h)² + k(h, k) = (-3, -9)y = (x + 3)² - 9

A car travels a distance of D km at 80 km/h and arrives 20 min late. If the car travels at
120 km/h, the car will arrive 20 min early. Find the value of D.

Answers

It’s would be 160 km since 160/80x60=120 min and 160/120x60=80min

one of the legs of a right triangle measured 12cm and the other leg measures 7cm find the measure of the hypotenuse

Answers

Answer: 14

Step-by-step explanation: The Pythagorean Theorem states that a^2 + b^2 = c^2, where a=leg one, b=leg two, and c=hypotenuse. Using this, our formula will be 12^2 + 7^2. Twelve squared is 144, and seven squared is 49. Added together, the sum is 193. To change this to an unsquared form we must square root it. [tex]\sqrt{193}[/tex]  equals about 13.89. Fourteen if you round up to the nearest whole number.  But just a warning, I don't know what place you are supposed to round to so you may have to use the underlined value instead.

Answer:

Using pythagoras theorem : hypotenuse² = opp² + adj ²

: hyp² = 12² + 7²

hyp² = 193

therefore hypotenuse = root of 193

Hope it helps

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