Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.

Answers

Answer 1

Answer:

57 f

Step-by-step explanation:

-16t² + vt + h

-16(4 s)² + (72 f/s)(4 s) + (25 f)

-256 + 288 + 25 = 57


Related Questions

help me pls dont write fake answers pls

Answers

Answer:

it’s C, 5.2

hope i helped

ur wlcm :)

correct me if im wrong

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5

Answers

The solution to x^2 - 4x = 5 is x = -1 or 5

How to solve the equation?

The equation is given as:

x^2 - 4x = 5

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add this value to the sides of the equation

x^2 - 4x + 4= 5 + 4

Express as a difference of two squares

(x - 2)^2 = 9

Take the square root of both sides

x - 2 = ±3

Add 2 to both sides

x = 2 ± 3

Evaluate

x = -1 or 5

Hence, the solution to x^2 - 4x = 5 is x = -1 or 5

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Help Me please . I want to know Square root of 169 and 144 and 625 . please man fast ​

Answers

Answer:

13,12,25

Step-by-step explanation:

Square root of 169 is 13.

Square root of 144 is 12

Square root of 625 is 25.

Answer:

[tex]\sqrt{169} = 13\\\\\sqrt{144} = 12\\\\\sqrt{625} = 25[/tex]

Step-by-step explanation:

[tex]\sqrt{169} = \left(13^2 \right)^{\tfrac 12} = 13^{\tfrac 22} = 13^1 = 13\\\\\sqrt{144} = \left( 12^2\right)^{\tfrac 12} = 12^{\tfrac 22} = 12^1 = 12\\\\\sqrt{625}= \left(25^2 \right)^{\tfrac 12} = 25^{\tfrac 22} = 25^1 = 25[/tex]

Solve the Application.

In one week Tommy earns $476 in regular pay and $144 in overtime pay. A total of $197 is deducted from his paycheck for taxes and a company loan. What is his take-home pay?

$423
$413
$433
$533

Answers

Hello. The correct answer would be $423.

Polygon G H I J K has 5 sides.
Which statements are true about the regular polygon? Select three options.

The sum of the measures of the interior angles is 900°.
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
The sum of the measures of the interior angles is 180(5 – 2)°.

Answers

Answer:

Each interior angle measures 108°.All of the angles are congruent.The sum of the measures of the interior angles is 180(5 – 2)°.

Step-by-step explanation:

(1) The sum of the interior angles of a polygon is [tex]180(n-2)[/tex] degrees, where n is the number of sides. In this case, n=5, so the sum is 180(5-2)=540 degrees, meaning the first statement is false.

(2) Since the angles add to 540 degrees, dividing this amongst the five equal angles, we get that each angle measures 108 degrees, so this statement is true.

(3) By definition, all angles of a regular polygon are congruent.

(4) A hexagon has 6 sides, but this polygon has only 5 sides, so this statement is false.

(5) This is true. (See statement (1)).

Answer:

Options B, C, E

Step-by-step explanation:

Find the variance of: 6 6 7 8 10 10​

Answers

3.368

Step-by-step explanation:

I hope this helps!!!!!

What is the perimeter of this triangle?

Answers

Answer: [tex]a+b+\sqrt{a^{2}+b^{2}}[/tex]

Step-by-step explanation:

The distance from (0,b) to (0,0) is b.

The distance from (0,a) to (0,0) is a.

Using the Pythagorean theorem, the distance from (0,b) to (a,0) is [tex]\sqrt{a^{2}+b^{2}}[/tex]

So, the perimeter is [tex]\boxed{a+b+\sqrt{a^{2}+b^{2}}}[/tex]

4x-6y=17 4x+2y=21 solua

Answers

Subtracting 4x+2y=21 from 4x-6y=17 will cancel out the x terms and result in -8y=-4. Then, dividing both sides by -8 results in y=1/2. In order to find x, plug 1/2 for y in either equation. If we use the first equation, the new equation looks like: 4x-6(1/2)=17. Multiplying -6 and 1/2 will simplify the equation to 4x-3=17. Then, adding three to both sides results in 4x=20. The last step is to divide both sides by 4 in order to get x by itself. x=5. So, the coordinate point that satisfies both equations is (5,1/2).

Beginning in the middle of summer, the average temperature for a certain year in Phoenix could approximately be modeled by the function f(x)=31cos(0.0055πx)+88, where x represents the number of days since the middle of the summer, and f(x) represents the average temperature in degrees Fahrenheit.

What was the lowest average temperature in Phoenix that year (approximately)?

A) 57∘F
B) 31∘F
C) 55∘F
D) 88∘F

Answers

By finding the minimum of the given function, we conclude that the lowest average temperature that year is 57°F.

What was the lowest average temperature in Phoenix that year?

We know that the average temperature is given by the equation:

f(x)=31cos(0.0055πx)+88

And it is in Fahrenheit degrees.

To get the lowest average temperature, we just need to find the minimum of the above function.

Remember that the minimum of the cosine function is:

cos(x) = -1

Then the lowest value of the above function is:

f(x₀) = 31*(-1) + 88 = 57

From this, we conclude that the lowest average temperature that year is 57°F, so the correct option is A.

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X
23 25 26 31 34 38
P(X)
0.16 0.09 0.18 0.12 0.24 0.21
What is the mean of this discrete random variable? That is, what is E(X), the
expected value of X?
A. 31.29
OB. 30.47
OC. 29.5
OD. 28.5

Answers

Using it's formula, it is found that the mean of the discrete random variable is given by:

B. 30.47.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Hence, considering the table, the mean of the discrete distribution is:

E(X) = 23 x 0.16 + 25 x 0.09 + 26 x 0.18 + 31 x 0.12 + 34 x 0.24 + 38 x 0.21 = 30.47.

Hence option B is correct.

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Cool Down
Lesson 3: Reasoning about Equations with Tape Diagrams
Cool Down: Three of These Equations Belong Together
Here is a diagram.
X
1. Circle the equation that the diagram does not match.
06+3x=30
03(x+6)=30
0 3x-30-6
030-3x+6
2. Draw a diagram that matches the equation you circled.

Answers

Using the figure given, The one equation that matches with the diagram is 3x=30-6.  The diagram that matches the equation circled is given in the image attached.

What is the Equations about?

From the above, we can see that the equation that matches with the diagram are:

3(x+6)=3030=3x+66+3x=30

Note that for 3(x+6)=30

3x +  18 = 30

3x = 30-18

3x = 12

x = 12/3

x = 4

Then fixing x into the equation =

3(x+6)=30

3(4+6)=30

Therefore , 12 + 18 will give us 30 and the answer is straight forward. The same applies for 30=3x+6 and 6+3x=30 as the answer is straight forward.

But the one equation that does not matches with the diagram is 3x=30-6 because its output is not straight forward.

3x =30-6

3x = 24

x = 24/3

x = 8

Fixing 8 into the equation

3x = 30-6

3(8) = 24

=24 is the  answer and not 30

Therefore, Using the figure given, The one equation that matches with the diagram is 3x=30-6.

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8. Which statement is an example of a transitive relationship?
O
If all b and b ll c, then a ll c.
If m 1n and m 1 p, then m ll p.
If x = 2y and 2y = 8, then x = 4.
If I m and m ll n, then I n.
O

Answers

Answer:

Transitive

If x = 2y and 2y = 8, then x = 4.

Match each fraction on the left with an equivalent fraction on the right. Some options on the right will be used more than once.

Answers

Answer:

4/7=12/21

18/20=9/10

6/5=30/25

81/90=9/10

Step-by-step explanation:

12 / 21  will be equal to 4/7 and is denoted in the simplest form.

What is an equivalent fraction?

A fraction that possesses the same value as another fraction regardless of how it's denominators and numeric components could be different is said to be equivalent.

12 / 21 can be simplified with the help of 3. This will result in 4/7.

18/20 can be simplified with the help of 2. This will result in a 9/10.

30/25 can be simplified with the help of 5. This will result in 6/5.

81/90 can be simplified with the help of 9. This will result in a 9/10.

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write down simplest ratio of 125ml and 5ml​

Answers

Answer:

25 : 1

Step-by-step explanation:

125 : 5. divide by 5 we get

25 : 1

What is the sum?
3
5
X+3
6-zX

Answers

The sum is of this problem above is -6


If Rita receives $63.90 Interest for a deposit earning 6% simple interest for 150 days, what is the amountof her deposit to the
nearest dollar (zero decimal place). Use a 360-day year. Enter only the number without $ sign

Answers

Answer: 2556

Step-by-step explanation:

Let the amount of the deposit be x dollars

The amount of simple interest earned can be represented by the formula PRT/100

Where,

P is the amount of deposit

R is the annual rate of interest

T is the time in years

Therefore,

P=x

R=6

T=150/360 = 15/36 = 5/12

So,

Simple interest = x(6)(5)/1200

63.90 = 30x/1200

63.90= x/40

x= 63.90×40

x=2556

Therefore, amount deposited = 2556

Just a little help :,(

Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for T.
9 in.
in³.
3 in.
The volume is about


Answers

Answer:

the volume is about 84.8 in³

Step-by-step explanation:

Let b be the base of the cone

and h be the height of the cone

Formula :

Consider the cone with base b and height h

The volume = (1/3)×b×h

………………………………………………………

In our example:

b = 3.14×3^2 = 28.26

h = 9

Therefore

The volume = (1÷3)×(28.26)×9 = 84.78

Find the value of c 3-2(1 + 6c) = -35

Answers

Answer:

C = 3

Step-by-step explanation:

By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!

Determine a series of transformation that would map polygon ABCDE onto polygon A'B'C'D'E'

Answers

The polygon translated 6 units left and 2 units up followed by a dilation of 2

The question is in the image. I

Answers

That is right letter b and ir letter c 3-2

Julian calculates the volume of a rectangular prism with the dimensions 3/4ft by 4 feet by 1/2 ft. His work is shown here.

What error did Julian make?
He multiplied the numerators incorrectly.
He multiplied the denominators incorrectly.
He simplified 12/6 incorrectly.
He wrote 4 as a fraction incorrectly.

Answers

Answer:

He multiplied the denominators incorrectly

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

V=LWH

we have

L=3/4 ft

W=5/1 ft

H=1/2

substitute

V=(3/4)(5/1)(1/2)= 3x5x1=    15

                           ₋₋₋₋₋₋₋₋    ₋₋₋₋ ft³

                           4x1x2=    8

                       

therefore

He multiplied the denominators incorrectly

Sin 0 = -8/17 and cos 0 = 15/17 find tan0

Answers

feel free to ask me if you didn't understand a part

Answer:

Step-by-step explanation:

Givens

sin(theta) = - 8/17

cos(theta)= 15/17

Tan(theta) = ?

Comment

Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)

Tan(theta) = sin(theta) / cos(theta)

Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]

Now turn  the bottom fraction upside down and multiply.

Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]

Answer Tan(theta) = -8/15

apples cost $3.99 for 3 lbs. Susan wants to buy 5 lbs. How much will it cost her?​

Answers

Answer: $5.99 is the answer hope this helps!

i will mark as brainiest

Answers

Answer:

the answer to a is 70

the answer to b is 55

the answer to c is 15

which number is equal to 4 half

Answers

Answer:

2

Step-by-step explanation:

4 halves=2

1 half=0.5

2 halves=1

3 halves=1.5

4 halves=2

Hope plans to run one day this week, play tennis one day, swim one day, and play soccer one day. A tree diagram would show different combinations in which she can do these.

Answers

The probability that Hope performs any of the activities each day of the week can be expressed in the tree diagram.

What is a tree diagram?

A tree diagram is a term for a graphical tool that shows the possible outcomes of an experiment. To build a tree diagram, start by putting a branch for each of the possibilities.

What would the tree diagram of Hope's activities look like?

The tree diagram of Hope's activities must include all the days of the week and on each day there must be three branches for each of the possible activities that she is going to do (play tennis, swim or play soccer).

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Evaluate and reduce:

Answers

Answer:

-31/8

Please mark me as brainliest

f(x) is a function.
A. True
B. False

Answers

Answer:

A. true

Step-by-step explanation:

"f(x) = ... " is the classic way of writing a function.

True

It is like a machine that has an input and an output. And the output is related somehow to the input. "f(x) = ... " is the classic way of writing a function.

ƒ(x) = 4x² + 5x – 3
g(x) = 4x³ - 3x² +5
Find (ƒ + g)(x)

Answers

(f+g)(x)  

= f(x) + g(x)

= 4x^2 +5x -3 + 4x^3 -3x^2 +5

= 4x^3+x^2+5x+2

PLEASE HELP BRAINLIEST how many small blocks of wood each of length 6cm, breath 4cm, and height 2cm can i cut out from a block of wood of length 2m, breadth 4cm and height 2cm WITH STEP BY STEP EXPLANATION​

Answers

Answer:

33 blocks

Step-by-step explanation:

Given the length , breath and height for small block  6cm, 4cm, and 2cm an d for large 2m = 200cm, 4cm and 2cm.

volume is given by  

             V = Length x breath x height

Volume of small block = 6 x 4 x 2 = 48 cm^3

Volume of big block = 200 x 4 x 2 = 1600 cm^

No of blocks = Volume of big block/ volume of small block

                     = 1600/48

                     = 33.33

Therefore no of blocks formed = 33

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