A soccer ball is kicked upward from a height of 2 feet with an initial vertical velocity of 30 feet per second. The function: h(t)=-16t^2+30t+2h(t)=−16t 2+30t+2 represents this situation.

To the nearest hundredth of a second, when will the soccer ball hit the ground?

Answers

Answer 1

It would take about 1.94 seconds for the soccer ball to hit the ground.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the soccer ball after time t, hence:

h(t) = -16t² + 30t + 2

The soccerball hits the ground when h = 0, hence:

0 = -16t² + 30t + 2

t = 1.94 seconds

It would take about 1.94 seconds for the soccer ball to hit the ground.

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Related Questions

Is the figure shown in the xy-coordinate plane a parallelogram? Why or why not? Use the given coordinates to justify your answer.

Answers

The figure shown would represent a parallelogram if opposite sides are parallel and congruent

It is true that the figure is a parallelogram

How to determine if the figure is a parallelogram

The coordinates of the figure are given as:

O = (0,0)

P = (a,b)

S = (a + c,b)

T = (c,0)

Vertices O and T are on the same horizontal level, because they have the same y-coordinate

The above is also applicable to vertices P and S

By observation, we have the following distances:

PS = c

OT = c

This means that the opposite sides are parallel and congruent

Hence, the figure is a parallelogram

Read more about parallelograms at:

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For which interval is the function constant?

(-infinity, 0)
(6, infinity)
(2, 6)
(0, 2)

Answers

Answer:

the answer is (2,6)

Step-by-step explanation:

Joe's fitness club charges $40 a month for a membership. Mike's fitness club charges $20 for a membership per month and a $100 starting fee. After how many months will the total amount paid to the two clubs be the same?

Answers

Answer:

5 months

Step-by-step explanation:

Create an Equation:

m=months

Joe- 40m

Mike- 20m +100

Make each equation equivalent:

40m=20m+100

Solve:

40m-20m=100

20m=100

m=5

If you plug it back in, the equation is satisfied:

40(5)=20(5)+100

200=100+100

200=200

What is the area of this figure?

Answers

Answer:

70 m^2

Step-by-step explanation:

I did this quickly, so please check the numbers.

Divide the figure into 3 recdtangles and one triangle.  Calculate the area of each and take the sum.

I realize after looking at the image that one could have made only two rectangles and gotten the same result.

I need this for my homework!: Describe the steps you can use to find an average of
fractional amounts.

Thanks! <;

Answers

add the fractions then divide the sun by the number how fractions you have.

Step-by-step explanation:

for example 1)8,9,12,8,7,11,3,9,5

we need to find average

first add all the numbers =72

we divide by how many number we havein data base which is 9 (mean count how many numbers we have)

72/9=8

What is the solution to the equation?
A. x = 144
B. x = 30
C. x = 18
D. x = 4

Answers

Answer:

D

Step-by-step explanation:

1/24x = 1/6

Multiply 1/6 by the reciprocal of 1/24 which is 24/1

Therefore;

X = 1/6 × 24/1

X = 4

There are 40 monkeys and 60% of the monkeys are in the trees. How many monkeys are in the trees?
Show your work: Write an equation, solve and explain your thinking

Answers

Answer:

24 monkeys are in the tree

Step-by-step explanation:

We solve it by writing [tex]\frac{60}{100}[/tex] times [tex]\frac{40}{1}[/tex]

Why is it over 100? Because every percent is out of 100!

[tex]\frac{60}{100}[/tex] X [tex]\frac{40}{1}[/tex] (your equation)

60 times 40 = 2400 and 100 times 1 = 100, We get, [tex]\frac{2400}{100}[/tex],

Lastly, we simplify the fraction by 100 on each side:

[tex]\frac{2400}{100}[/tex] / [tex]\frac{100}{100}[/tex]

you get 24

Jim made $143 for 11 hours of work at the same rate how many hours would he have to work to make $91

Answers

Answer:

Step-by-step explanation:

The equation is

Salary = 11 * x              Where x is the number of hours.

salary = 143

hours = 11

x = ?

143  = 11x                     Divide both sides by 11

143/11 = 11x/11

13 = x

So to get 143 he works for 13 dollars / hour

salary = 13 * x

salary = 91

13 x = 91

13x/13 = 91/13

x = 7

He must work 7 hours to get 91 dollars.

✺ Question -

Jim made 143 dollar for 11 hours of work at the same rate how many hours would he have to work to make 91 dollar

✺ Explanation -:

Given:

Jim made $143 for 11 hours of work.

To Find:

Hours he have to work to make $91.

Solution:

We can solve this question using two methods Unitary Method and Method of proportion.

Unitary Method -

For $143 he work 11 hours

For $1 he work [tex]\dfrac{11}{143}[/tex] hrs

For $91 he works [tex]\dfrac{\cancel{11}} {\cancel{143}\: \: \cancel{13}}[/tex] × [tex]\cancel{91}\: \: 7 [/tex]hrs

= 7 hours

He must work 7 hours to get $91.

[tex] \ {\rule{50mm}{3pt}}[/tex]

Method of proportion -

He work 'x' hours for $91. (x as no. of hrs)

[tex] \left[\begin{array}{c | c}\ \bf{Salary} & \bf{Number \: of \: hrs} \\ \sf{143 \: dollar} & \sf{11hrs} \\ \sf{91 \: dollar}& \sf{x}\end{array} \right][/tex]

143 : 91 :: 11 : x

Product of mean = Product of extreme

143 × x = 91 × 11

→ x = [tex]\dfrac{91 × 11}{143}[/tex] = 7hrs

He must work 7 hours to get $91.

[tex] \ {\rule{90mm}{3pt}}[/tex]

What is the slope of the equation y=5/4x - 7/4

Answers

Answer:

The equation of a line is given by y = mx + c; where m is the slope.

The given equation is y = 5/4 x - 7/4.

Therefore, the slope is 5/4.

Which of these is a unit of density?

Answers

Answer:-

[tex]\longrightarrow \textsf{The unit of density is\;} [/tex][tex]\sf kg/m^3[/tex]

Solution :-

[tex]\green{ \underline { \boxed{ \sf{Density = \frac{Mass}{Volume}}}}}[/tex]

[tex]\longrightarrow[/tex]The unit of mass is kg and unit of Volume is m³ . Since density is division of mass by volume , the corresponding units will also get divided and unit of density would come out to be kg/m³

Some basic derived Units :-

area => m²volume cubic meter => m3speed meter per second => m/sacceleration => m/s²mass density meter => kg/m3specific volume cubic meter per kilogram m³/kg

If a club has 20 members and 4 officers how many choices are there for secretary
A. 20
B. 18
C.19
note: The secretary is the third officer to be elected.

Answers

It is the option B pls brainlist

The Pyramid of Khufu in Giza, Egypt was the world's tallest free-standing structure for more than 3,500 years. Its original height was about 144
meters. Its base is approximately a square with a side length of 231 meters.
The diagram shows a cross section created by dilating the base using the top of the pyramid as the center of dilation. The cross section is at a
height of 96 meters
144 m
=> A
96 m
231 m
231 m
Complete the following about the cross section
The scale factor used to create the cross section is 13
Part B
Complete the following about the cross section
The dimensions of the cross section is a Select Choice y meter by Select Choice y meter Select Choice

Answers

The scale factor used to create the cross section is 1/3. The cross section has a base side length of 77 meters.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The height of the dilated pyramid = 144 m - 96 m = 48 m

Scale factor of dilation = 48 m / 144 m = 1/3

The side length of dilated pyramid = (1/3) * 231 m = 77 m

The scale factor used to create the cross section is 1/3. The cross section has a base side length of 77 meters.

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The answer has to be a fraction, number 10!!! Urgent!!!

Answers

Answer:

x = 0

Step-by-step explanation:

Calculate the product

Any expression multiplied by 0 equales 0

Solution

X = 0

Hope this helps!

Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo's margin of error, rounded to the nearest whole number? (The formula is 1.96 straight x left parenthesis StdDev right parenthesis divided by square root of straight N)

Answers

Answer:

The answer is "20".

Step-by-step explanation:

Given value:

[tex]\to Z_{critical}= 1.96\\\\\to {StdDev} = standard\ deviation = 50 \\\\\to n= 25\\\\[/tex]

formula:

[tex]\bold{Margin error}= Z_{critical} \times \frac{\text{StdDev}}{\sqrt{n}}\\[/tex]

                       [tex]= 1.96 \times \frac{ 50 }{\sqrt{25}}\\\\= 1.96 \times \frac{ 50 }{\sqrt{5 \times 5}}\\\\= 1.96 \times \frac{ 50 }{{5}}\\\\= 1.96 \times 10 \\\\= 19.6 \\\\= 20[/tex]

the ratio at which x axis divides the point (2, - 8) and (-3, 6).


Pls tell me the answer as fast as possible...
We are having math surprise test today...​

Answers

Answer:

The answer is Math. M a t h

Step-by-step explanation:

Good luck!

PLEASE HELP 30 POINTS
Line A is represented by the equation, y=1/4x +5

(a) Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8, -2). Show your work

(b) Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4,1). Show your work.​

Answers

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Parallel lines have the same slope but different y-intercepts

Perpendicular lines have the negative reciprocal slope.

There are 36 carpenters in a crew. On a certain day, 29 were present. What percent were at work? (Round your answer to the nearest hundreth - 2 decimal places.)

Answers

Answer:

80.56%

Step-by-step explanation:

divide 36 by 29 and you get 0.8055555555. Change that into a percent to get 80.56%

2i-3n=8
i+2n=-3
solve for i and n

Answers

Answer:

n= -2/7 i= 3 4/7

Step-by-step explanation:

i=3-2n

2(3-2n)-3n=8

6-4n-3n=8

6-7n=8

6-8=7n

-2=7n

-2/7=n

=3-2(-2/7)

3+4/7

i=3 4/7

−5(x−10)=−50 i need help answering it

Answers

[tex] - 5(x - 10) = - 50[/tex]

[tex] - 5x + 50 = - 50[/tex]

[tex] - 5x = - 50 - 50[/tex]

[tex] - 5x = - 100[/tex]

[tex] \frac{ - 5x}{ - 5} = \frac{ - 100}{ - 5} [/tex]

[tex]x = 20[/tex]

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the cover? Use Pi = 3. 14 and round the answer to the nearest square foot.

Answers

Answer:

38 square feet

Step-by-step explanation:

How do we find the area of a circle?

  ❖ The area of a circle is πr², where r = radius. For this case, we're going

       to approximate pi as 3.14.

How do we find the radius given diameter?

  ❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter

       is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5

       feet.

Solving

[tex]3.14*3.5^2[/tex] [tex]3.14 *12.25[/tex] [tex]38.465[/tex] 38.465 ≈ 38

Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡

Part 2:

2.4.3: Denver to Chicago


A plane flew at a constant speed between Denver and Chicago. It took the plane 1.5 hours to fly 915 miles.

Answers

Answer:

Whats the question?

Step-by-step explanation:

I need help ASAP, with numbers 3-6 above. Please help.

Answers

Answer:

3. 2 6 30          6. 8:5

   3 9 45

Step-by-step explanation:

Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the coefficient 'k' in the factored form?

6x3 + 4x2 − 6x − 4 = 2(x + k)(x − k)(3x + 2)

k=

Answers

1

2*(x+1)*(x-1)*(3x+2)

hope this helps

NEED HELP WITH MATH!!! 10pts

Answers

Answer:

D

Step-by-step explanation:

Divide the two equations using polynomial division and you will get your answer.

Hope this helps

How did Athaliah impose wickedness upon Judah?

Answers

Answer:

By killing all but one of his family members

Use the algebra tiles to model x 1. Then choose the answer that describes the correct tiles. One blue x tile and one orange tile one orange x tile and one blue – tile one blue x tile and one blue – tile one orange x tile and one orange tile.

Answers

The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

What are algerbra tiles?

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x + 1.

Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.

Using algebra tiles provides a more visual way for us to solve our problems.

The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

Hence, the correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

To know more about algerbra tiles click the link given below.

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Which derivation correctly uses the cosine sum identity to prove the cosine double angle identity

Answers

Answer: A

Step-by-step explanation: took the test

The derivation that correctly uses the cosine sum identity to prove the cosine double angle identity is A; cos²(x) -  sin(x)²

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Let revise the identities of double an angle

sin(2x) = 2 sin(x) cos(x)

cos(2x) = cos²(x) - sin²(x)

cos(2x) = 2 cos²(x) - 1

cos(2x) = 1 - 2 sin²(x)

The equation

∵ cos(2x) = cos(x + x)

cos(x)cos(x) -  sin(x)sin(x)

cos²(x) -  sin(x)²

The identity is cosine double angle identity for cosine difference

Learn more about trigonometric;

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#SPJ2

Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. A graph shows number of cuts labeled 1 to 10 on the horizontal axis and remaining area (square centimeters) on the vertical axis. A line decreases from 0 to 10. After each cut, what percentage of the previous area is the the remaining area? 10% 20% 80% 100%.

Answers

After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

What is the percentage?

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

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After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

What is the percentage?

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

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PLS HELP GIVING BRAINLIEST TO FIRST PERSON

Answers

Answer:

Solve for x

by simplifying both sides of the equation, then isolating the variable. x=ordw

Step-by-step explanation:

or it could be word

Answer:

x=57

Step-by-step explanation:

I think i already answered this question, but i will rewrite it again! since the angles 'x' and '2x+9' add up to become a supplement angle or a straight line.

We can establish the relation which says that the sum of these two angles is equal to 180.

[tex]x + 2x + 9 = 180[/tex]

[tex]3x + 9 = 180[/tex]

[tex]3x = 180 - 9[/tex]

[tex]3x = 171[/tex]

[tex]x = \frac{171}{3} = 57[/tex]

The area of a triangle 36 ×39×15

Answers

Answer:

a=21060[tex]in^{3}[/tex]

Step-by-step explanation:

A= B*W*H

A=36*39*15

A=1404*15

A=21060

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