A golfer hits a ball from a starting elevation of 7 feet with a velocity of 70 feet per second down to a green



with an elevation of -2 feet. The number of seconds t it takes the ball to hit the green can be represented



by the equation - 16t2 + 70t +7=-2. How long does it take the ball to land on the green?



It takes the ball ___



seconds to land on the green.

Answers

Answer 1

Answer:

[tex]t \approx 4.501\,s[/tex]

Step-by-step explanation:

The second-grade equation must be rearragend into its standard form:

[tex]-16\cdot t^{2} + 70\cdot t + 9 = 0[/tex]

Roots can be found with the help of the General Equation for Second-Order Polynomial:

[tex]t = \frac{-70\pm \sqrt{70^{2}-4\cdot (-16)\cdot (9)}}{2\cdot (-16)}[/tex]

[tex]t = 2.188 \pm 2.313[/tex]

[tex]t_{1} \approx 4.501\,s[/tex]

[tex]t_{2} \approx -0.125\,s[/tex]

Only the first root offers a reasonable solution.

[tex]t \approx 4.501\,s[/tex]


Related Questions

For a moving object, the force acting on the object’s acceleration. When a force of 56 N acts on certain object, the acceleration of the object is 8 m/s^2. If the force is changed to 35 N, what will be the acceleration of the object?

Answers

Answer:

force

Step-by-step explanation:

Answer:

its force

Step-by-step explanation:

because i know

I just need the answer plz

Answers

Answer: i got −5s^3+2s^2−s−9

Step-by-step explanation:

-5s^3+2s^2-s-9, ^=exponent

Solve the ineqyality: -4-5x < -29
A. X > -5
B. 5
C. X<-5
D. *<5
Please select the best answer from the choices provided

Answers

Answer:

x > 5

Step-by-step explanation:

-4-5x < -29

Add 4 to each side

-4+4-5x < -29+4

-5x < -25

Divide by -5, remembering to flip the inequality since we are dividing by a negative

-5x/-5 > -25/-5

x > 5

NEED HELP ASAP

I need answers please ​

Answers

Should’ve listened in class buddy

Answer:

Step-by-step explanation:

10) Cos (x-y) = cos x cos y + sin x sin y

cos 4x cox 3x + sin 4x sin 3x = Cos (4x - 3x)

  = cos x

11) = 2*(1² + 2) + 2*(2² + 2²)

  = 2*3 + 2*(4+4)

= 6 + 2*8

= 6 + 16

= 22

12) (3) 4x² - 3x  - 8 = 0

Reason:  

Sum of roots = - Coefficient of x/coefficient of x² = -(-3)/4 = 3/4

Product of roots = constant / coefficient of x² = -8/4 = -2

The blueprint for the Pelham​'s living room has a scale of 2 inches=5 feet. The family wants to use a scale of 1 inch=44 feet. What is the width of the living room on the new​ blueprint?

(the original width is 8)

Answers

Final answer:

Using the original scale of 2 inches = 5 feet, the living room is 20 feet wide. With the new scale of 1 inch = 44 feet, the width of the living room on the new blueprint would be 2.2 inches.

Explanation:

To solve this problem, one must first determine the actual width of the living room using the original scale. According to the original scale, 2 inches represent 5 feet. This would mean that the actual width of 8 inches would represent (8 / 2) * 5 = 20 feet. Now, set up a proportion with the new scale, which is 1 inch = 44 feet. If x is the width on the new blueprint, we would have x / 44 = 1 / 20, solving for x gives us x = 44 / 20 = 2.2 inches. Therefore, the width of the living room on the new blueprint would be 2.2 inches.

Learn more about Scale Conversion here:

https://brainly.com/question/29011258

#SPJ12

Solve: 4/7 - (-4/7)

Answers

Answer:

1 1/7

Step-by-step explanation:

Subtracting a negative is adding

4/7 +4/7

8/7

Changing to a mixed number

1 1/7

Sawyer recorded the number of different types of pets his friends have in the table shown below:

Cats 2
Dogs 3
Rabbits 1
Guinea Pigs 3
Which of the following plots represents the data in the table? (5 points)

Question 6 options:

1)



2)



3)



4)

Answers

Answer:

The second graph

Step-by-step explanation:

14. Calculate A bird
weighing 15 g eats 10 times
its weight in food in a week.
How much food does the
bird eat in a day?

Answers

Answer:

21.429 grams per day

Step-by-step explanation:

15g times 10 =150g

150g/7 =21.429g per day

Final answer:

A bird that eats 10 times its weight in food per week, with a weight of 15 g, consumes approximately 21.43 g of food per day.

Explanation:

If a bird weighing 15 g eats 10 times its weight in food in a week, we first calculate the total amount of food the bird eats in a week and then divide that by 7 to find the daily intake.

First, we calculate the weekly food consumption:

The bird's weight = 15 g

Total weekly food intake = 15 g × 10 = 150 g

Daily food intake = Total weekly intake ÷ 7

Daily food intake = 150 g ÷ 7 ≈ 21.43 g

Therefore, the bird eats approximately 21.43 grams of food per day.

The histogram shows the number of runners who ran a given number of miles each week. How many runners ran 5–6 miles a week?

Answers

Answer:

5 runners

Step-by-step explanation:

By looking at the graph, the number of runners in the 5-6 mile category is 5.

Answer:5

Step-by-step explanation:




Use the net to find the surface area of the square pyramid.

A) 1040 in2

B) 1426 in2

C) 2889 in2

D) 2945 in2

Answers

C because 40•27/2•4+27•27 is 2,889 40 is height 27 is base area of triangle u divide by 2 then there is 4 sides so u multiply by 4 and u need to add the base which is base times height and base is 27 and height is 27 so when u do all that u get C

Paul rolled a number cube. What is the probability he will roll a 5 or 6

Answers

Answer:33

Step-by-step explanation:did test

HELP! ASAP! MARKING BRAINLIEST!!
Which pyramid has a greater volume, and how much greater is its volume?

A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches.

A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.

a). The volume of the pyramid on the left is greater by 2 inches cubed.
b). The volume of the pyramid on the left is greater by 6 inches cubed.
c). The volume of the pyramid on the right is greater by 2 inches cubed.
d). The volume of the pyramid on the right is greater by 6 inches cubed.

Answers

Answer:

a). The volume of the pyramid on the left is greater by 2 inches cubed.

Step-by-step explanation:

The volume of a rectangular based pyramid is

V = [tex]\frac{1}{3}[/tex] w b h

Where w, and b are the lengths of the base of the pyramid, and h is the height of the pyramid

Substitute the values given for both pyramids into the equation, and solve for V

Left Pyramid:

V = [tex]\frac{1}{3}[/tex] w b h

V = [tex]\frac{1}{3}[/tex] * 7 * 6 * 3

Volume of Left Pyramid = 42 [tex]inches^{3}[/tex]

Right Pyramid:

V = [tex]\frac{1}{3}[/tex] w b h

V = [tex]\frac{1}{3}[/tex] * 4 * 3 * 10

Volume of Right Pyramid = 40 [tex]inches^{3}[/tex]

Subtract the two volumes to find the difference in volume

42 - 40 = 2 [tex]inches^{3}[/tex]

Answer:

The volume of the pyramid on the left is greater by 2 inches cubed.

Step-by-Step Explanation

which answer choice shows the decimals in order from least to greatest?
A. 18.879, 18.31, 18.1, 17.899
B. 17.899, 18.1, 18.31, 18.879
C. 18.1, 18.31, 17.899, 18.879
D. 18.879, 17.899, 18.31, 18.1

Answers

Answer:

B. 17.899, 18.1, 18.31, 18.879

PLEASE ANSWER ASAP :)

Answers

Answer:

(x+6)( x^2 -2)

Step-by-step explanation:

x^3 +6x^2 -2x-12

We can factor by grouping

x^3 +6x^2      -2x-12

Factor x^2 out of the first group      and -2 out of the the second group

x^2 (x+6)  -2 (x+6)

Now factor out (x+6)

(x+6)( x^2 -2)

Which of these is a two-step equation?
A.X+9= 21
B.x = 11 + 2
C.2x+9= 21
D.x/3=9

Answers

C is a two step equation
Since you have to subtract nine and divide by two, there are two steps

6(a+3)=2a+30 what is the answer​

Answers

Answer:

a = 3

Step-by-step explanation:

6(a+3)=2a+30

Distribute

6a + 18 = 2a+30

Subtract 2a from each side

6a + 18 -2a= 2a+30-2a

4a  +18 =30

Subtract 18 from each side

4a+18-18 = 30-18

4a = 12

Divide each side by 4

4a/4 = 12/4

a = 3

Please help! Will mark brainliest!

Answers

Answer:

13x+2

Step-by-step explanation:

4x + 1

4x + 1

3x

2x

-----------

= 13x + 2

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Bo and Erica are yoga instructors. Between the two of them, they teach 39 yoga classes each week. If Erica teaches 15 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 17 Erica
B.
18 Bo; 21 Erica
C.
15 Bo; 24 Erica
D.
20 Bo; 19 Erica

Answers

Answer:

c

Step-by-step explanation:

39-15=24

24+15=39

Which rational number falls between 7/8 and 6/9

A 15/31

B 3/17

C 53/72

D 7/12

Answers

6/9 = [6 * 8] / { 9 * 8] = 48/72
7/8 = [ 7*9] / [ [ 8 *9 ] = 63/72

C looks to be correct

Answer:

c 53/72

Step-by-step explanation:

Which measure of center best describes the following data?
Explain why. Jareds points scored in a basketball games: 12, 20, 32, 8, 14, 11, 15.

Answers

Answer:

Step-by-step explanation:

If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?

Answers

Answer:

141.89526818714 cubic inches

Step-by-step explanation \

Vm = Volume of the men's basketball

Vm = (4/3)*pi*r^3

Vm = (4/3)*pi*(5)^3 ... diameter = 10 --> radius = 10/2 = 5

Vm = 523.598775598299 cubic inches

Vw = Volume of the women's basketball

Vw = (4/3)*pi*r^3

Vw = (4/3)*pi*(4.5)^3 ... diameter = 9 --> radius = 9/2 = 4.5

Vw = 381.70350741116 cubic inches

Difference in volume = Vm - Vw

Difference in volume = 523.598775598299 - 381.70350741116

Difference in volume = 141.89526818714 cubic inches

This result is approximate

Answer:

141.9 in.3

Step-by-step explanation:

Just did the assignment on edge2020

What is The volume of the rectangular prisim?

Answers

Answer:

1 1/9 ft³

Step-by-step explanation:

Volume of rectangular prism = L×W×H

3/3 × 2/3 × 5/3 = 30/27 = 1 3/27 = 1 1/9.

Can someone help me figure out what this is?

Answers

Answer:

M = 84

Step-by-step explanation:

Opposite angles in a quadrilateral inscribed in a circle are supplementary

R+ M = 180

96+ M = 180

Subtract 96 from each side

96-96+M = 180-96

M =84

Answer:

Step-by-step explanation:

8


How many pennies are in $3.25​

Answers

Answer:

325

Step-by-step explanation:

100*3.25=325

Answer:

325

Step-by-step explanation:

Multiply $3.25 by the pennies worth; $3.25 x 0.01 = 325

WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECTLY EXPLAIN HOW YOU ARE CORRECT

Answers

Answer:

D

Step-by-step explanation:

Since this is right triangle, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

14 and 16 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.

14^2+16^2=x^2

Evaluate the exponents

196+256=x^2

Add

452=x^2

To get this is simplest radical form, find the greatest square root that divides evenly into 452

4 is the greatest square root. 4 times 113 equal 452

So, we have

[tex]\sqrt{4}\sqrt{113}[/tex]

Take the square root of 4

2[tex]\sqrt{113}[/tex]

So, choice D is correct.

answer : D




explanation: i just did this and got it right

Help me somebodyyyyyyyy!!!! What is the area of this???

Answers

Answer:

32.4759526419

Step-by-step explanation:

If it is an equilateral triangle, that makes the height 5 * 1.5 = 7.5

That makes the base 15/sqrt(3).

That makes the area 112.5/2sqrt3 =

32.4759526419

Use what you learned in the lesson and the online content to answer the following question: Which renewable source of energy should the United States focus its research and development efforts to make this source of energy our country’s main energy source by the year 2050? Why?

Answers

Answer:

the sun

Step-by-step explanation:

Answer:

Today we have technology that allows us to capture the sun's free and unlimited energy. The United States should focus its research & development efforts to make solar energy our country's main energy source by the year 2050. Solar energy is a renewable source because of the sun, and it does not produce any waste products. We are able to use solar panels & other devices to create renewable electricity for just about anywhere. It is safer and cleaner than other resources. We should seek to do this throughout the whole country so it can help our environmental status and solve the problem of running out of limited resources.

Step-by-step explanation:

got 100% on edg2021


Evaluate.

42 + (
1
5
)2

A) 6
2
5
B) 8
2
25
C) 16
1
25
D) 16
2
25

Answers

Answer:

C

Step-by-step explanation:

Slope of -3 and y intercept of 2

Answers

Answer:

the answere is 100

Step-by-step explanation:

Check whether the given number is a
solution of the inequality.
4x + 2 = 14 x = 3

Answers

Answer:

TRUE

Step-by-step explanation:

x=3

4x + 2 = 14

4(3)+2=14

12+2=14

14=14

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