Kevin threw a ball straight up with an initial speed of 20 meters per second.

The function h(t) = –5(x — 2)2 + 20 describes the ball’s height, in meters, t seconds after Kevin threw it. What is the maximum height of the ball?

cross out

A)
2 meters

cross out

B)
5 meters

cross out

C)
10 meters

cross out

D)
20 meters

Answers

Answer 1

Answer:

it should be D) 20 meters, not 100% sure tho

Answer 2

From the vertex of the quadratic equation, it is found that the maximum height of the ball is of 20 meters, given by option D.

The height of the ball, after t seconds, is given by:

[tex]h(t) = -5(x^2 - 4x + 4) + 20[/tex]

[tex]h(t) = -5x^2 + 20x - 20 + 20[/tex]

[tex]h(t) = -5^x^2 + 20x[/tex]

Which is a quadratic equation with coefficients [tex]a = -5, b = 20, c = 0[/tex].

It is a concave down parabola, thus, it's maximum value is the h-coordinate of the vertex, which is:

[tex]h_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Then, inserting the values:

[tex]h_V = -\frac{20^2 - 4(-5)(0)}{4(-5)} = 20[/tex]

The maximum height of the ball is of 20 meters, given by option D.

A similar problem is given at https://brainly.com/question/24626341


Related Questions

17) Order the numbers from least to greatest based on their absolute value. |−7|, |4|, |−2|, |3| A) |−2| < |−7| < |4| < |3| B) |−7| < |4| < |3| < |−2| C) |−2| < |3| < |4| < |−7| D) |−7| < |−2| < |3| < |4|

Answers

Answer:

The answer is C

Solve the following system using any method.
5x – 5y = 5
5x + 5y = 37
a (2.5, 7.5)
b (7.5,3.5)
C (4.2, 3.2)
d (6.2,8.2)

Answers

Answer:13

Step-by-step explanation:none

An airline company has a 60% markup rate on its tickets. If the original cost of a ticket is $229, what is the amount of markup?

Answers

Final answer:

To find the amount of markup on an airline ticket costing $229 with a 60% markup rate, multiply the original cost by the markup rate (0.60), resulting in a markup amount of $137.40.

Explanation:

The question asks to find the amount of markup on an airline ticket that has an original cost of $229 and a markup rate of 60%. To calculate the markup amount, we need to apply the markup rate to the original cost. The formula to find the markup amount is: Markup Amount = Original Cost × Markup Rate.

Given that the original cost is $229 and the markup rate is 60% (or 0.60 when expressed as a decimal), the calculation would be:

• Markup Amount = $229 × 0.60 = $137.40

Therefore, the amount of markup on the airline ticket is $137.40.

What is the slope of a line that is perpendicular to the line y=8x+5

Answers

Answer:

-1/8

Step-by-step explanation:

Perpendicular slopes are negative reciprocals

The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.

Negative:

8/1--> -8/1

Reciprocal:

Flip the numerator and denominator

-8/1--> -1/8

So, the perpendicular slope of 8 is -1/8

Answer:

-8

Step-by-step explanation:

PLZz Help I only have 4 min left

Answers

Answer:

4

Step-by-step explanation:

wite an expression to represen
One minus the product of four and a number

Answers

Step-by-step explanation:

-1×4+x

I'm not too sure but that's what I got

This is the answer I got: 1-4x

Please let me know if this is correct and have a great day: hope this helped!!!

What is the relationship between A: Vertical angles
B: Complementary angles
C: Supplementary angles
D: None of the above

Please help this is on khan academy.

Answers

Answer:

B. Complementary Angles

Step-by-step explanation:

They both make up 90 degree angle.

Three fishermen caught 74 fish. They divide them equally. How many are left over ?

Answers

Answer:

2 left

Step-by-step explanation:

74/3 = 24.

24*3 = 72

74-72 = 2

25 points
1. Jason Witten has a loan of $32,460. The loan has a simple interest rate
of 3% per year. What is the amount of interest that Jason Witten will be
charged on this loan at the end of one year?*

Answers

324.60 I hope this helps you

Answer:

9.738

Step-by-step explanation:

I=p x t

= 32,460 x (.03) 1

=9.738

Two minor league baseball players got a total of 336 hits. Washington had 8 more hits than Sanchez. Find the number of hits for each player.

Answers

Answer:

its 3.76

Step-by-step explanation:

Answer:

Sanchez has 164 while Washington has 172 hits

Step-by-step explanation:

Which expression is the result of factoring the expression below by taking out its greatest common factor?
12x^2 +8=?
Please help quick

Answers

Answer:

3[tex]x^{2}[/tex] + 2

Step-by-step explanation:

The GCF (Greatest Common Factor) is 4. So take this out:

4 (3[tex]x^{2}[/tex] + 2)

A vitamin powder weighs 0.0002 pound.
The container holding the powder weighs
0.006 pound. What is the total weight
of the vitamin powder and container,
written in scientific notation?
A. 6.2 X 10 ^-3 pound
B. 2.6 x 10 ^-3 pound
C. 6.2 X 10 ^-4 pound
D. 2.6 X 10 ^-4 pound

Answers

Answer:

A. 6.2 X 10 ^-3

Step-by-step explanation:

First, you have to find the total weight by adding 0.0002 and 0.006 together, which gives you 0.0062. Then, follow basic setup of scientific notation by moving the decimal until one non-zero digit is to the left of the decimal, which brings the decimal to 6.2. Since you are moving the decimal right three places, the exponent is negative 3, making the notation 6.2 X 10 ^-3

x+y=12 x=5
ill give brailiest

Answers

Answer:

y=7

Step-by-step explanation:

x+y=12

x=5

12-5=7

Substitute x with 5: 5 + y  = 12

Subtract 5 to both sides: 5 - 5 + y = 12 - 5

Simplify: y = 7

~Good luck

At first, Brianna earned a score of 90 on the quiz. She discovered that 4 had been taken off by mistake. Brianna showed the teacher, removed the 4-points deduction. Which two quiz scores could be used to find Briannas new quiz score

1.90+ (-4)
2.90+4
3.90-4
4.90-(-4)

Answers

Final answer:

To find Brianna's new quiz score after correcting a mistake, we can use two mathematical operations: 90 + 4, which adds the points back directly, or 90 - (-4), which mathematically corrects the wrongful deduction by subtracting a negative.

Explanation:

The question involves finding Brianna's new quiz score after correcting a mistake. At first, she earned a score of 90 on the quiz, but then discovered that 4 points had been taken off by mistake. To correct this, we should add the 4 points back to her original score of 90.

The correct mathematical operation to use would be 90 + 4, because we are adding back the points that were mistakenly deducted. Another way to express this correction is by removing the negative effect of the 4-point deduction, which mathematically would look like 90 - (-4). When we subtract a negative, it is equivalent to adding the positive value of that number.

Therefore, the two quiz scores that could be used to find Brianna's new quiz score are:

90 + 4: This represents simply adding the 4 points back to the original score.90 - (-4): This represents the same thing but highlights the corrective action of subtracting a mistakenly applied negative value.

Final answer:

The correct options for calculating Brianna's new quiz score after the mistake is corrected are (2) 90 + 4 and (4) 90 - (-4), both of which correctly add 4 points to the original score of 90.

Explanation:

The correct way to calculate Brianna's new quiz score after the mistaken 4-point deduction is revoked would be by taking the original score of 90 and adding the 4 points back. Therefore, the two quiz scores we could use to find Brianna's new quiz score are:

90 + (-4), which is subtracting the 4 points that were mistakenly deducted, but since we want to reverse that deduction, this would not be used.

90 + 4, which correctly adds the 4 points back to the original score.

90 - 4, which would mistakenly subtract 4 more points instead of adding them back.

90 - (-4), which is essentially the same as adding 4 to 90, and it also gives the correct new score.

We disregard the options that subtract 4 points. Therefore, the correct options to use for finding Brianna's new quiz score are (2) 90 + 4 and (4) 90 - (-4).

Find the slope between the following points: (8,-4),and (2,-4)

Answers

Answer:

0

Step-by-step explanation:[tex]\frac{0}{6}[/tex]

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] Remember this??

Just replace the points with it.

[tex]\frac{-4-(-4)}{8-2}[/tex] and now SOLVE!

You should get [tex]\frac{0}{6}[/tex]

Which equals 0.. So there ya go!

Stay Safe! Stay at Home!! =)

Final answer:

The slope between the points (8,-4) and (2,-4) is 0, indicating a horizontal line.

Explanation:

To find the slope between two points, you use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Let's apply this formula to the points given: (8, -4) and (2, -4).

Slope (m) = (-4 - (-4)) / (2 - 8) = (0) / (-6) = 0

Since the numerator of the slope formula is zero, the slope of the line passing through these two points is 0, which indicates a horizontal line.

Half of a number is 16. Write an equation and solve to find the number?

Answers

A number divide by 2 equals 16.
n/2 = 16
Do the inverse to find the number. Opposite of division is multiplication.
16 x 2 = 32

The number will be 32 such that its half will be 16.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x

Given,

Half of a number is 16

So,

x/2 = 16

By multiplying 2 both sides

x = 32

Hence "The number will be 32 such that its half will be 16".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Subtract – 2x2 + 3x – 9 from 8x2 + 10x – 10.

Answers

Answer: -57

Step-by-step explanation:

The difference between the expression is [tex]\rm -10x^2-7x+1[/tex].

What is subtraction?

Subtraction is one of the four basic arithmetic operations that is used to find the difference.

Subtract – 2x2 + 3x – 9 from 8x2 + 10x – 10.

The difference between the expression is determined in the following steps given below.

[tex]\rm = -2x^2+3x-9-(8x^2+10x-10)\\\\= -2x^2+3x-9-8x^2-10x+10\\\\= -10x^2-7x+1[/tex]

Hence, the difference between the expression is [tex]\rm -10x^2-7x+1[/tex].

Learn more about subtraction here;

https://brainly.com/question/4319655

#SPJ2

ve.
The temperature outside dropped 13°F in 7 hours. The final
temperature was -2°F. What was the starting temperature?

Answers

Answer:

11

Step-by-step explanation:  Since the question does not specify wether the temperature dropped every hour or if it was the total, in this case we can assume this was in total. If you ended up with -2 after subtracting 13, to get the starting temperature you can add -2 to 13.

-2 + 13 = 11

Frank monitors the cost of gasoline for his budget. The table below shows Frank's gasoline purchases for the month of June. What was the average cost per gallon for gas during Week 4?

Answers

Answer: 2.49 gallons

Step-by-step explanation:

$32.37 divided by 13 is 2.49 :)

Help ASAP please and explain

Answers

Answer:

37

Step-by-step explanation:

There are 2 ways to do this, the first is to just count the number of shaded squares (35)

The second is to find the area of the larger shaded square and subtract the smaller un-shaded rectangles

The large square is 7x7=49 squares

There are two 2x3 rectangles, which are 6 each

49-6-6=37

PLEASE DRAW WITH PENCIL

Answers

Answer:

The answer is shown in the picture above☝️☝️

Answer:

Step-by-step explanation:

DIU IVLAS MAIM.
> Chapter 7: Adjacent and Vertical Angles > Section Exercises 7.1 > Exercise 11
Tell whether the angles are adjacent or vertical. Then find the value of 2.
75
(4x
- 2

Answers

Answer:

vertical; x=25

4x-25=75

4x=75+25=4x=100

4x/4=100/4 x=25

She’s right go with her answer

When Jeff played his new computer game for the first time, he scored 10,000 points. Each time he played, he increased his score by 15,000 points. How many games did Jeff have to play to reach a score of 100,000?

Answers

Answer: 6 times.

Step-by-step explanation: 10,000+15000=25000. Keep adding the answer by 15,000 until you reach 100,000. Count how many times you added 15,000.

Which of the following sets of numbers could not represent the three sides of a right
triangle?
{5,8, 10}
{12, 35, 37}
{12, 16, 20}
{33, 56, 65}

Answers

Answer:

3

Step-by-step explanation:

If the height and base of the parallelogram shown are each decreased by 2 cm, what is the area of the new parallelogram?


A parallelogram with a base of 10 centimeters and a height of 8 centimeters.

40 cm2
48 cm2
64 cm2
76 cm2

Answers

Answer:

48cm²

Step-by-step explanation:

just pretend that the parallelogram is an 8x6

Answer:

48 cm^2

Step-by-step explanation:

Use the formula A = bh. The height is 8 cm minus 2, now the height is 6 cm. The base is 10 cm minus 2, now the base is 8 cm. Multiply 8 by 6, you'll get the answer 48 cm^2.

Which circle has a radius that measures 10 units?

Answers

Answer:

dav d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Diameter of 20

Mario wants to estimate how much it will cost him to fill his pool with water for the summer. First, he needs to find the volume of the pool. If the pool is 5 feet deep, what is the volume of the pool? A. 870 ft3 B. 854 ft3 C. 860 ft3 D. 862 ft3

Answers

I believe it would be B

Answer:

860

Step-by-step explanation:

The perimeter of a square is represented by the expression 32x - 12.8. Draw a square to represent this situation and label its side lengths. Then write three equivalent expressions for the perimeter.

Answers

Answer:

Step-by-step explanation:

Given that: The perimeter of a square is: 32x - 12.8

As we all know that, the formula to find the perimeter of a square is:

Sum of the 4 side = 4* length of the side  

=> the length of 1 side: The perimeter of a square  / 4

In this situation, we have length of 1 side side is:

(32x - 12.8) / 4

= 32/4x - 12.8/4

= 8x - 3.2

The 1st equivalent expressions for the perimeter: 4 *(8x - 3.2)

The 2nd equivalent expressions for the perimeter: (8x - 3.2) + (8x - 3.2)  + (8x - 3.2)  + (8x - 3.2)

The 3rd equivalent expressions for the perimeter: 2*(8x - 3.2) + 2*(8x - 3.2)

Compare the graph of g(x)=2^x+1 to the graph of f (x)=2^x

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhgg

Step-by-step explanation:

I need helppp‍♀️!!!!! So Hurryyyyyyy!!!!

Answers

Answer:

1,436 with a remainder of 4

Step-by-step explanation:

The first step is to see how many times 6 goes into 8

It goes in 1 time so you write 1 at the top and subtract 6 from 8

This gives you 2, and then you bring down the 6 from the 8,620

Now you have 26, and you see how many times 6 goes into 26

It goes in 4 times giving you 24 so you write 4 at the top

Then you subtract 24 from 26 giving you 2 and you drop down the 2

This gives you 22 and 6 goes into 22 3 times giving you 18

So you write 3 at the top and subtract 18 from 22 giving you 4

then you drop down the 0 from the 8,620 giving you 40

Then you evaluate how many times 6 goes into 40, it goes in 6 times

this gives you 36 and then you writes a 6 at the top and subtract 40 and 36

this gives you a remainder of 4

Other Questions
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