A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= time in seconds and h= height in feet.) How long will it take the football to reach the ground.

Answers

Answer 1
5.125 seconds ok?
You would use the equation
16x^2 + 82x = 0 saying that the ground is 0 height.
So as you know by PEMDAS exponents are first so you would do 5.125^2 which is 26.265625,
So you would do -16 x 26.265625 which is -420.25
So now you know the left side of the equation, and the right side is easy since it is just 82 x 5.125, which is 420.25
And -420.25 + 420.25 = 0!
Answer 2

The time required for the ball to reach the ground is 10.25 seconds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The punter kicks the ball into the air

The equation to determine the pathway is h = -16t² + 82t

where t is the time taken in seconds to reach the height h

So ,

Time taken by the football to reach ground is calculated from the equation

At the ground , the height will be 0

So , h = 0

Substituting the value for h in the equation , we get

0 = -16t² + 82t

Adding 16t² on both sides , we get

16t² = 82t

Divide by t on both sides , we get

16t = 82

Divide by 4 on both sides , we get

4t = 41

Divide by 4 on both sides , we get

t = 10.25 seconds

Hence , the time taken by the football to reach the ground is 10.25 seconds

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Related Questions

Hurry pls I need to fine the difference of the equation

Answers

Answer:

i think it is 12-4i

Step-by-step explanation:

since the negative multiples if everything in the second brackets if i remeber

so it is

5+7

and

8-12

Answer:

C: 12 - 4i

Step-by-step explanation:

when you subtract two phrases its the same as when you add two mathematical phrases by combining like terms except you distribute the - sign into the parenthesis so the signs flip.

hope this helps :))

4. During a book sale, Alex sold 1 book for 55.00,
2 books for $4.50 each, and 4 books for $2.50 each.
Dana sold 3 books for $1.50 each and 2 books for
$5.00 each. What was the most frequently occurring
sale price for these 12 books?
(A) $2.50
(B) $4.00
(C) $4.25
(D) $4.50
(E) $5.00

Answers

Answer: A.) 2.50

Step-by-step explanation:

4 books sold for $2.50, which is the most books for one set price.

Someone please answer both part a and b i would appreciate is SO MUCH

Answers

Answer:

Look at explanation.

Step-by-step explanation:

a.

<ACD and <DCA

b.

90 = m<1 + m<2

90 = 2x + x

90 = 3x

x = 30

Plug back into angles:

m<1 = 2x

m<1 = 60 degrees

m<2 = x

m<2 = 30 degrees

Please help me out with this

Answers

Answer:

the Fourth One

Step-by-step explanation:

The price of Stock A 9 AM was $12.71. Since then, the price has been increasing at the rate of $0.05 each hourAt noon the price of Stock 8 was \$13.46 . To decrease at the rate of by $0.12each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

Answers

Answer:

4.4 hours

Step-by-step explanation:

Let the number of hours be represented as h

The price of Stock A 9 AM was $12.71. Since then, the price has been increasing at the rate of $0.05 each hour

$12.71 + $0.05 × h

12.71 + 0.05h

At noon the price of Stock 8 was \$13.46 . To decrease at the rate of by $0.12each hour.

$13.46 + $0.12 × h

13.46 - 0.12h

If the two rates continue, in how many hours will the prices of the two stocks be the same?

12.71 + 0.05h = 13.46 - 0.12h

0.05h + 0.12h = 13.46 - 12.71

0.17h = 0.75

h = 0.75/0.17

h = 4.41176470588 hours

Approximately = 4.4 hours

The prices of the two stocks be the same in 4.4 hours

You are buying a pair of sneakers for $ 120. You have a coupon to save 45 %. How much will the sneakers cost ?

Answers

Answer:

$66

Step-by-step explanation:

→ Work out 45% as a multiplier

100 - 45 = 55 ⇒ 55 ÷ 100 = 0.55

→ Multiply the multiplier by the price

0.55 × 120 = $66

Answer:

54

Step-by-step explanation:

120 times 45 equals 5400 divided by 100 equals $54

You earned a 75% on a science test. You answered 18 questions correctly. How many
questions were on the test?

Answers

Answer:

24 questions

Step-by-step explanation:

18/3=6. This is 25% of the questions

4*6=24. This is 100% of the questions

You earned 75% on a science test. There were 24 questions. 75% is 3/4, and multiply that by 6 to get 18 correct. Denominator is 24.

Write a linear equation that is solved by both (-6,2) and (0,-4)

Answers

First, we need to determine the slope of the line. The slope can be found by using the formula:
m
=
y
2

y
1
x
2

x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
6

0
0


2
=
6

0
0
+
2
=
6
2
=
3
The point
(
0
,
6
)
is also the
y
intercept. Therefore we can use the slope-intercept formula to find an equation for the line. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
Substituting the slope we calculated and the y-intercept gives:
y
=
3
x
+
6

The linear equation that is solved by both (-6,2) and (0,-4) is y = -x - 4

Using the slope intercept formula for linear equation,

y = mx + b

where

m = slope

b = y-intercept

Therefore, lets find m

(-6,2) and (0,-4)

m = -4 - 2 / 0 - (-6) = -6 / 6 = - 1

Lets find b using (0,-4)

y = mx + b

-4 = -1(0) + b

b = -4

There the linear equation in slope intercept form will be as follows

y = -x - 4

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Choose the model that verifies the quotient
1
5
÷ 5.

An area model with 1 shaded part and 4 unshaded parts.
An area model with 5 shaded parts and 20 unshaded parts.
An area model with 5 separate shaded parts.
An area model with 5 shaded parts.

Answers

Answer:

An area model with 1 shaded part and 4 unshaded parts.

Step-by-step explanation:

15  ÷ 5 area model

     ____2_+__1___=3

5    |     10        5

Answer:

An area model with 5 shaded parts and 20 unshaded parts.

Step-by-step explanation:

alck helped me with this

please help me with this

Answers

A- 34

The angels are equal

At the end of March, a computer company
has a net worth of -$14,587. By the end of
December of the same year, the company's
net worth had increased
by
$28,465.
What was the company's net
worth at the end of December?

Answers

Answer:

$12,088 dollars

which expression is equivalent to f(x)=3x+2

Answers

:) hope this helps you out

Determine the unit rate
24 pencils in 8 jars =
pencils per jar

Answers

Answer:

3 pencils per jar

hope it helps you

The number of pencils in each jar will be 3.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that there are 24 pencils in 8 jars. The number of pencils in each jar will be calculated as,

Number = Number of pencils / Number of the jars

Number = 24 / 8

Number = 3 Pencils

Hence, there will be 3 pencils in each jar.

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PLS HELPPP!!! ITS' IMPORANTANT!
Below

Answers

Answer:

1st year value =45$ 2nd year value=45+2.80$=47.80$ 3rd year value=47.8+2.80$=50.60$ 4th year value=50.60+2.80=53.40$ 5th year value=53.40+2.80=56.20$ ater 5 years value of share becomes 56.20$ or share after 5 years= 45+4*2.80=45+11.20=56.20$

Hope i helped plz mark brainiest if you want

Carlita saw 5 times as many robins as she did cardinals while bird watching. She saw a total of 36 birds. How many more robins did she see than cardinals?

Answers

Answer: Calita saw 30 Robins and  6 Cardinals

Step-by-step explanation:

Step 1

  writing the mathemathecal expression  becomes

Let robins be represented as R

and Cardinals be represented as C

so our first equation becomes

R+C = 36----- eqn 1

but she saw 5times as many robins as cardinals, with a total of 36 birds making us have

Therefore R= 5C

 5C +C= 36------- eqn 2

STEP  2--- solving equation 2

5C+C = 36

6C= 36

C= 36/6=6

Puting the valueof C=6 in equation 1 becomes

R+C= 36

R+6=36

R=36-6= 30

R=30

Therefore Calita saw 30 Robins and  6 Cardinals

can i get help on this please

Answers

Answer: X=18

Step-by-step explanation:

Consider each graph shown. Determine the slope of each line
and then use similar triangles to justify that the slope is the
same between any two points.

Answers

Answer:

18,1,18

Step-by-step explanation:

The slope of a line from the given graph is 4 units.

From the given graph, vertical line (rise) = 16 and horizontal line (run) = 4.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Now, slope = Rise/Run

⇒ slope = 16/4

= 4 units

Therefore, the slope of a line from the given graph is 4 units.

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A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.

Answers

Answer:

The scale factor is One-eighth

The coordinates of C prime are (0.75, 0.5).

The coordinates of B prime are (–0.25, 1).

Step-by-step explanation:

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply. The coordinates of C prime are (0.75, 0.5). The coordinates of C prime are (1.5, 1). The scale factor is One-eighth. The scale factor is 8. The scale factor is One-fourth. The scale factor is 4. The coordinates of B prime are (–0.25, 1). The coordinates of B prime are (–0.5, 2).

Solution:

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.

Dilation is the enlargement or reduction in size of an object. If a point X(x, y)  is dilated about the origin by a factor k, its new location is X'(kx, ky)

Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)

kA = A'

(-2k, 4k) = (-0.25, 0.5)

-2k = -0.25, hence k = 1/8

Therefore the scale factor is 1/8 (one- eight)

The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)

Answer:

a, c, and g

Step-by-step explanation:

just took the test on edge. hope this helps :)))

10 m = blank cm

answers
A 100
B 1,000
c 10
d 50​

Answers

Answer:

B. 1,000

There is 100 cm in 1 meter. So 10x100=1000 :)

An inequality is solved as shown below. Between which two steps is an error made?

Answers

Answer:

a

Step-by-step explanation:

because youre supposed to multipy -3 by 2 and that gives you -6 not positive 6

write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-7,-5);y= -4x+5)

Answers

Answer:

y=-4x-33

Step-by-step explanation:

Since the equation is parallel it will have the same slope which is -4

Now just plug in the points into the equation y=-4x+n

Plug them in and you get -5=-4(-7)+n

Then solve which will get you n=-33

Therefore the equation is y=-4x-33

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement l, in degrees, of the image?

Answers

Answer:

20

Step-by-step explanation:

Never same bed rn he drum he’s gym next D

anyone knows this cuz i need help!?

Answers

Answer:

I think its D

Step-by-step explanation:

im not sure correct me if im wrong thanks

Answer:

C

Step-By-Step explanation:

Yes, the square root of 12 is irrational.

3. Emma purchased a bicycle at a garage sale for $56. She later sold the bicycle online for $85.What was the percent increase of the price of the bicycle?

Answers

Answer:

51.7857143% increase is the percent increase of the price of the bicycle.

Step-by-step Explanation on finding percent increase using this question:

Formula needed:

% increase = 100 x (final-initial)/ | initial |

1. % increase = 100 x (85-56)/56

2.% increase = 100 x 29/56

3. % increase = 100 x 0.517857143

4. % increase = 51.17857143 (final answer)

Round if told by directions to do so.

What is the answer please need help

Answers

Answer: the answer would be 50°

Answer:

130

Step-by-step explanation:

so you take 35+95=130

then you take 180-130=50 to get the other angle in the triangle

then to get the missing angle you do 180-50=130

so that is the missing angle

Ritus mother's age is 7 years more than two time Ritus age. Ritus mother is 37 years old. Set up an equation to find Ritus age (Take Ritus age to be 'x' years)

Answers

Answer:

2x + 7 = 37

Ritu's age = 15 years

Step-by-step explanation:

Given:

Ritu's mother age = 37

Find:

Ritu's age

Assume;

Ritu's age = x

So,

2x + 7 = 37

2x = 30

x = 15

Ritu's age = 15 years

Which price choice has the lowest unit price per ounce?
Choice A: 6 ounces of raisins for $2.98
Choice B: 13 ounces of raisins for $7.18

Answers

Answer: A

Step-by-step explanation:

1. Divide the price of the raisins by the ounce

                     __

2.98 / 6 = .496

7.18 / 13 = .5523

2. round to the nearest hundredth

.50

.55

3. The lowest unit cost is your answer

f (x)= x + 2
f (10) =

Answers

f (10) = 12

f (x) = x + 2

f (10) = 10 + 2

f (10) = 12

Help me solve this problem please

Answers

Answer:

a² + b² + c² - 2ab + 2bc - 2ac

Step-by-step explanation:

Answer:

[tex]b=\frac{c+2}{a}\:[/tex]

Step-by-step explanation:

[tex]ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\[/tex]

[tex]\frac{c+2}{a}\:[/tex]

An object is dropped off a cliff and falls freely. It speeds up as it falls toward the ground.

The graph below shows the velocity in meters per second (m/s) of the object (denoted by the vertical axis) as a function of time in seconds (denoted by the horizontal axis). Note that the relationship is linear.



This relationship is given by the equation, v = gt. In this equation, g is the acceleration due to gravity, t is the number of seconds, and v is the velocity of the falling object. Note that g is a constant.

Find and interpret the meaning of the initial value and the rate of change in this context.

Answers

Answer:

The initial value is 0. That means that object’s initial velocity 0 m/s. The rate of change is 9.8. That means the acceleration due to gravity is 9.8 m/s 2.

Hope this helps :)

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