A snowboarder leaves an 8-foot tall ramp with an upward velocity of 28 feet per second. The function h =− 16t 8t gives the height h (in 2 + 2 + 8 feet) of the snowboarder after t seconds. When does the snowboarder hit the ground?

Answers

Answer 1

Answer:

2 seconds

Step-by-step explanation:

Given that:

h = -16t² + 28t + 8

Using quadratic formula:

[tex]\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

where;

a = -16

b = +28

c = +8

[tex]= \dfrac{-(28) \pm \sqrt{(28)^2 - 4(-16)(8)}}{2(-16)}[/tex]

[tex]= \dfrac{-(28) \pm \sqrt{784+512}} {-32}[/tex]

[tex]= \dfrac{-(28) + \sqrt{784+512}} {-32} \ \ OR \ \ = \dfrac{-(28) - \sqrt{784+512}} {-32}[/tex]

[tex]=- \dfrac{1}{4} \ \ OR \ \ 2[/tex]

Since we are considering the positive value; Then it will take the snowboarder 2 seconds before it hits the ground.


Related Questions

The square of a number plus the original number is 22 what could the number be?

Answers

Answer:

x²+22

Step-by-step explanation:

let the number= X

x²+22

x2+22 is the answer to your question

What is the length of AD if A is located at (-7,0) and D is located at (8,0)?

Answers

Answer:

15

Step-by-step explanation:

(-7,0) and (8,0) are on the opposite side of origin of x axis

d = 8 - -7 = 15

what is the equation of a line that passes throught the points (-4, 2) and (-8, -3)​

Answers

Answer:

y=5/4x+9/2

Step-by-step explanation:

Slope: 2+3/-4+8

=5/4

y-2=5/4(x+2)

y-2=5/4x+5/2 <------because 5/4*2=10/4

y=5/4x+9/2

A football team scored 3 touchdowns, 3 extra points, and 4 field goals. Write an expression to represent the total points the football team scored. Use t to represent the number of points for a touchdown Use e to represent the number of points for the extra point Use f to represent the number of points for a field goal Write the equation using the "WIRIS editor" button

Answers

Answer:

The answer is below

Step-by-step explanation:

A football team scored 3 touchdowns, 3 extra points, and 4 field goals.  

a. Write an expression to represent the total points the football team scored.  

b. Write another expression that is equivalent to the one written above.  

c. If each touchdown is worth 6 points, each extra point is 1 point, and each field goal is 3 points, how many total points did the team score?  

Solution:

a) Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.

Total points = 3(t) + 3(e) + 4(f) = 3t + 3e + 4f

b) Total points = 3t + 3e + 4f   OR

Total points = t + t + t + e + e + e + f + f + f + f  OR

Total points = 3(t + e) + 4f

c) Total points = 3(t + e) + 4f = 3(6 + 1) + 4(3) = 3(7) + 4(3)

Total points = 21 + 12 = 33 points

The sum of the points the team has from different point gaining options

give the total number of points the team scores.

[tex]\underline{\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f}[/tex]

Reasons:

The number of touchdowns by the football team, t = 3

Number of extra points by the football team, e = 3

Number of field goals by the team, f = 4

Therefor, the total number of points, P = 3·t + 3·e +4.f

The specified editor is an equation editor, which can be used to write mathematical equations.

Using an equation editor, we have;

[tex]\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f[/tex]

Learn more about equations here:

https://brainly.com/question/472337

Find the product.

28.5 x 7

A. 198.5
B. 199
C. 199.5
D. 200

Answers

Answer:

199.5

Step-by-step explanation:

i know because I added it up

The answer is c, hope this helps!

Help pls and thank you :)

Answers

Answer:

Answer choice : 3

Step-by-step explanation:

An object has a constant acceleration of -42 ft/sec2, an initial velocity of 5 ft/sec, and an initial position of 9 ft. Find the position function describing the motion of this object.

Answers

Answer: The equation of motion is

 s(t) = (1/2)a·t² +v₀·t +s₀

Step-by-step explanation: Hope this helped!

Simplify
Complete the chart.
Original
Function
Rewrite
Differentiate
(Power Rule)
2
3) y =
6
3x
4) y = Vx7

Answers

Answer:

Step-by-step explanation:

Original Function          Rewrite       Differentiate              Simplify

3). y = [tex]\frac{2}{3x^6}[/tex]                   y = [tex]\frac{2}{3}x^{-6}[/tex]        y' = [tex]\frac{2}{3}(-6)x^{(-6-1)}[/tex]              y' = [tex]-\frac{4}{x^{7}}[/tex]

4). y = [tex]\sqrt[4]{x^7}[/tex]                 y = [tex]x^{\frac{7}{4}}[/tex]            y' = [tex]\frac{7}{4}x^{(\frac{7}{4}-1)}[/tex]                      y' = [tex]\frac{7}{4}x^{\frac{3}{4}}[/tex]

What is the measure of ABC?
A. 130
B. 85
C.40
D.170

Answers

Answer:

It would 85

Step-by-step explanation:

The easiest way to think about it is that the angle looks a little smaller than a right angle (90 degrees) therefore 85 degrees is correct.

Please help!!!!!!!!!!!!!!!!

Answers

Answer:

m<G

Step-by-step explanation:

They are the same angle, hence they are congruent by the reflexive property. Moreover, they are both a part of the triangles; GHL and GJK, and therefore prove similarity.

will give brainliest please help!!

Simplify the expression x-3x-(-5x).​

Answers

Answer:

D. 3x.

Step-by-step explanation:

Let's do a little bit of simplifying.

First, distribute that minus sign outside of the parentheses.

x - 3x + 5x

Then simplify further.

-2x + 5x

More.

3x

Multiply. Express each answer as a decimal.

12⋅15
34⋅200
(0.2)⋅60
(0.75)⋅20

Answers

Answer:

12×15=180 34×200=6800 (0.2)×60=12 (0.75)×20=15


Simplify the expression.
- 2.3f + 0.9f - 15-9

Answers

Answer:

-1.4f - 24

Step-by-step explanation:

First combine like terms

-2.3f + 0.9f - 15 - 9

-1.4f              -24

So, simplified it is

-1.4f - 24

(6,-1) (0,3) write an equation

Answers

First you need to find the slope
Y2-y1/x2-x1
3-6/0-(-1)
-3/1
Slope is -1 , use a point to find b
3=-1(0)+b
3=b
The equation is
Y=-x+3

Which of the following statements about “vesting periods” is TRUE?

Answers

What are the statements ?

1. What is the slope of the line that passes through the two points (12,-5)
and (-3, 8)?

Answers

Answer:
-13/15

Explanation:
To calculate the slope of a line given points (x1,y1) and (x2,y2), we can use the formula y2-y1/x2-x1.

y2-y1/x2-x1.
8-(-5)/-3-12
Two negatives make a positive
= 8+5/-15
= 13/-15
= -13/15

I hope this helps!

1 2/3 x 2 1/4 =

answer asap and correct pls.

Answers

Answer:

the answer is 3.75

Step-by-step explanation:

I got the answer in decimal

the answer is 3 3/4. please make me brailiest

Help me please! I’m begging

Answers

terms: 2, 8, 15. variables: x, y. coefficient:2,8

let me know if it’s correct!

10. Pandora music cost $109.65 a year.
Popular songs on iTunes cost $1.29 for
the purchase of each song. How many
songs purchased on iTunes would it take
to equal the cost of two years of Pandora
music.

Answers

Answer:

170 songs

Step-by-step explanation:

109.65 x 2= 219.30

219.30/1.29=170

Tamika makes a 4% commission selling electronics. How much commission does she make if she sells a flat-screen TV for $8,000?


A.) $7,680

B.) $2,000

C.) $32,000

D.) $320

Answers

Answer:

D.) $320

Step-by-step explanation:

4% of 8,000

so

0.04 x 8,000

= 320

53:06
What is the lowest value of the range of the function
shown on the graph?
5
4+
3-
оооо
2+
14
3
1
2 3 4 5
х
-5 4 -3 -2 -11
-2
-37
-4

Answers

Answer:

The answer is B

Step-by-step explanation:

I got this answer right on ed2020

Please help it’s due in a few minutes

Answers

Answer:

135

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

I found this out because it is bigger then a 90 degree angle so tat takes out A. and B. because they are smaller then a 90 degree angle so that leaves D. because "RUP" is bigger then a 90 degree angle.

Use <,>,= to make a true statement
2.1___ the square root of 4.41

Answers

Answer: =

Step-by-step explanation: because if you do the square root of 4.41 it is 2.1


(3y + 6) + (4y +5)=?

Answers

Answer:

7y+11

Step-by-step explanation:

(3y + 6) + (4y +5)=?

Combine like terms

3y+4y   + 6+5

7y+11

Answer:

7y +11

Step-by-step explanation:

Because you can't add the numbers with the letters

Are these two claims equivalent, in conflict, or not comparable because they’re talking about different things?
a. “We mark up the wholesale price by 33% to come up with the retail price”
b. “The store has a 25% profit margin”
Note: Profit margin = (Retail price - Wholesale price)/(Retail price)

Answers

Answer:

statement 'a' and 'b' are comparing two different things

Step-by-step explanation:

statement 'a' is referring to arriving at a selling price for at least one product

but, assuming the store sells more than one product then there is no correlation to the profit margin of the store as a whole

The ratio of the number of adults to the number of children at the resturant is 3:7. Identify the choices below that represent an equivalent ratio. Choices: A: 6:14 B: 8:12 C: 15:35 D: 21:9 E: 30:70

Answers

Answer: A: 6:14

C: 15:35

E: 30:70

Step-by-step explanation:

From the question, we are given that the ratio of the number of adults to the number of children at the resturant is 3:7.

The choices below that represent an equivalent ratio goes thus:

A: 6:14

This can be represented as: 6/14. The common factor is 2 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

B: 8:12

This can be represented as: 8/12. The common factor is 4 and we reduce to lowest term which would be: = 2/3 = 2:3

This is not an equivalent ratio.

C: 15:35

This can be represented as: 15/35. The common factor is 5 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

D: 21:9

This can be represented as: 21/9. The common factor is 3 and we reduce to lowest term which would be: = 7/3 = 7:3

This is not an equivalent ratio.

E: 30:70

This can be represented as: 30/70. The common factor is 10 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

The correct options are A, C,and E.

PLEASE HELP! WILL GIVE BRAINLIEST Evaluate 6r - 8.45s when r = 12 and s = 4

Answers

Answer:

Step-by-step explanation:

Putting values

6(12) - 8.45(4)

= 38.2

Pls help it due today

Answers

Answer:

B

Step-by-step explanation:

Answer:  Choice C.  y = (-1/2)x+7

=========================================================

Explanation:

The slope of the graphed line is -1/2 because we drop down 1 unit on the y axis each time we move to the right 2 units along the x axis. We could apply the slope formula for any two points on the diagonal line to also get a slope of -1/2.

The slope formula is m = (y2-y1)/(x2-x1).

Any two parallel lines have the same slope, but different y intercepts. So the parallel line will also have slope -1/2. Right away we can see the answer must be choice C. This is the only equation with slope -1/2 of the choices given.

Recall that slope intercept form y = mx+b has m as the slope. Not to be confused with the label m of the graphed line.

Note how plugging x = 6 into the equation for choice C leads to...

y = (-1/2)*x + 7

y = (-1/2)*6 + 7

y = -3 + 7

y = 4

Showing that (x,y) = (6,4) is on the equation y = (-1/2)x + 7. This confirms the answer.

---------------------------

Let's say we didn't have multiple choice answers to pick from, and instead it was fill in the blank. To find the y intercept b, we can do the following

y = mx+b

y = (-1/2)x + b ... plug in given slope m = -1/2

4 = (-1/2)*6 + b .... plug in the given point (x,y) = (6,4)

4 = -3 + b

4+3 = -3+b+3 ... adding 3 to both sides

7 = b

b = 7

Knowing that m = -1/2 and b = 7, we can update y = mx+b into y = (-1/2)x+7

Which of the following is NOT a triangle congruence postulate or theorem?

1) Angle side angle
2) Angle angle side
3) Angle side side
4) none of these

Answers

Answer:

Which of the following is NOT a triangle congruence postulate or theorem?

4) none of these

The choices which are not triangle congruence postulate are: 3)Angle Side Side

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The reflexive property of congruence states that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

We need to find the choices which are not triangle congruence postulate or theorem.

The postulates that are used to prove the triangles congruent are,

1)Side Side Side

2)Side Angle Side

3)Angle side Angle

4)Angle Angle Side

5)Hypotenuse Leg

Other than these postulates none can be used to prove the triangles congruent.

The choices which are not triangle congruence postulate are:

3)Angle Side Side

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

For which regular polygon is 30 degrees the smallest angle of rotational symmetry?

Answers

answer.

•given that is smallest angle of rotational symmetry for a regular polygon is 30

•we have to find the number of side does the regular polygon have

•if we can rotate of figure around a center point be fewer than 360° and the figure appears and change then the figure has the rotation symmetry

Hence,12 number of sides the polygon.

no. of side= 360/ smallest angle at centre=12

I hope it's help

Answer:

the answer is D

Step-by-step explanation:

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