David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

Answers

Answer 1

Answer:

Step-by-step explanation:

The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.

hope this helps


Related Questions

change 64/11 into a mixed number

Answers

Answer:

5 9/11

Step-by-step explanation:

The anwser would be 5 9/11

What is the answer??

Answers

Answer: .41+.34=.75

Step-by-step explanation:

Using the formula m= f(x2) - f(x1)/x2 - x1, what is the rate of change for the linear function that contains the
points (-3, 2) and (1,10)?

1/2

8

-4

2

Answers

I Picked B random and got it right

Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Which expression can Mrs. Clements use to find the area of the table top, in square feet? A (5x3x4) + (4x2) C (4 3 5) 1 1··2(2 3 4) B (9 3 4) 1 (4 3 5) D (4 3 9) 1 1··2(5 3 4) 5 feet 4 feet 2 feet 9 feet

Answers

Answer:

60

Step-by-step explanation:

The expression Mrs. Clements use to find the area of the tabletop, in square feet is  0.5 * (5 + 9) * 4

How to determine the area of the tabletop?

The dimension of the tabletop is:

Parallel sides = 5 feet and 9 feet

Height = 4 feet

The area is then calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

This gives

Area = 0.5 * (5 + 9) * 4

Hence, the expression Mrs. Clements use to find the area of the tabletop, in square feet is  0.5 * (5 + 9) * 4

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how can i solve that equation by factoring

Answers

Answer:

y = ( x + 3 )( x + 5 )

Step-by-step explanation:

N/A

Answer:

[tex]y = {x}^{2} + 8x + 15 \\ factors \: = 3 \: and \: 5 \\ y = {x}^{2} + 3x + 5x + 15 \\ y = x(x + 3) + 5(x + 3) \\ y = (x + 5)(x + 3) \\ either \: (x + 5) = 0 \: or \: (x + 3) = 0 \\ x = - 5 \: and \: - 3[/tex]

Each of 6 students reported the number of movies they saw in the past year. Here is what they reported.
8,6,8,5,4,6
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

[tex]\boxed {\boxed {\sf mean \approx 6.3}}[/tex]

Step-by-step explanation:

We are given this data and asked to find the data.

8, 7, 8, 5, 4, 6

The mean is also called the average. It is found by dividing the sum of the terms by the number of terms.

[tex]mean= \frac {sum \ of \ terms}{number \ of \ terms}[/tex]

First, we calculate the sum of the terms. Add up all the numbers.

sum= 8+7+8+5+4+6 sum= 38

[tex]mean=\frac{38}{number \ of \ terms}[/tex]

Next, divide by the number of terms. There are 6 terms (also, there are 6 students that reported).

[tex]mean=\frac{38}{6}\\mean=6.33333333333[/tex]

Let's round to the nearest tenth.

6.33333333333

The 3 in the hundredth place tells us to leave the 3 in the tenth place.

[tex]mean \approx 6.3[/tex]

The mean number of movies the students saw is approximately 6.3

Step-by-step explanation:

Terms are

8,6,8,5,4,6

[tex] \rm \mapsto \: mean = \frac{sum \: of \: terms}{number \: of \: terms} \\ \rm \mapsto \: \frac{8 + 6 + 8 + 5 + 4 + 6}{6} \\ \rm \mapsto \: \frac{14 + 13 + 10}{6} \\ \rm \mapsto \: \frac{37}{6} \\ \rm \mapsto \: 6.166 \\ \rm \mapsto \: 6.1 \overline{6} \\ \rm \mapsto \: 6.2[/tex]

[tex]\boxed{\large{\sf Mean\approx 6.2}}[/tex]

[tex]\sf Knowledge\:booster{\begin{cases}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{C} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{C} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{cases}}[/tex]

PLEASE HELP <3
Mrs. Neville determined the following annual expenses for energy from her last year's bills: electricity = $4,135; gas = $890; water and sewer = $698. If she budgets 25% more for next year, what is her monthly budget for energy?
$521.87
$547.22
$596.15
$601.44
None of these choices are correct.

Answers

Answer:

n=21000.

Step-by-step explanation:

$3.60

What is the area of the triangle??

Answers

15 square units because all of the blocks together or combined would be 15 full squares

Answer:

Answer is 12

Step-by-step explanation:

height is (4 square untis) and base is (6 square units).

Multiply 6 x 4 = 24 then you have to divide by 2 and it gives you 12.

Hope this helps !

Please answer this question

Answers

Someone else is answering it but if they get it wrong then, and I’ll help you
I pretty sure it’s the second one but I’m not completely sure but I tried my best

Write an algebraic equation to represent the
situation. Be sure to define the variable you are
using. For example: b = the # of books.
Write your equation and define the variables here.

Answers

Answer:

Where is the situation?

Step-by-step explanation:

Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.

If function f is the parent exponential function , what is the equation of transformed function g in terms of function f?

Replace the value of a to complete the equation.

Answers

Answer:

This problem is acually really simple.

Step-by-step explanation:

all you have to do is replace the a with a 3. SO It would look like this:

g(x)=3f(x)

hope this helps :)

The equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

How to determine the equation of g(x)?

The function f(x) is given as:

f(x)= e^x

The function is stretched by a factor of 3 to get the function g(x)

This means that:

g(x) = 3 * f(x)

Evaluate the product

g(x) = 3f(x)

Hence, the equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x

Read more about function transformation at:

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Help! Please anyone. I need help!

Answers

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation:

Determine the value of x.
Question 9 options:

A)

2

B)

2

C)



D)

4

Answers

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

More about the right-angle triangle link is given below.

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a printer can print 27 pages in 4.5 minutes. how much time does it take to print 324 pages

Answers

Answer:

54

Step-by-step explanation:

27pages=4.5minutes

[tex]1 = \frac{4.5}{27} [/tex]

[tex]324 = \frac{4.5}{27} \times 324[/tex]

[tex]324 = 4.5 \times 12[/tex]

324pages=54minutes

Hence, the printer can print 324pages in 54 minutes

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer: I believe the answer is D

Step-by-step explanation:

Answer:

B. Number of days she trains

(Please help!!) Solve: x2+6x+9

Answers

if you're trying to solve for x, and it is equal to zero, then it would be -3. plug it in and it would all cancel out

MATH HELP

Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.

Answers

Answer:

yes

Step-by-step explanation:

75 out of 135 is 55.6%

Find x if the average of 20, 15, 13, 17, and x is 18.

Answers

Answer:

5

Step-by-step explanation:

There are 26 gold fish in the tank at the store. How many ways can Ben choose five?

Answers

Answer:

65,780 im pretty sure

Step-by-step explanation:

¿En què situaciones usamos los nùmeros enteros positivos y negativos, escribe 2 ejemplos de cada uno? Por favor para ahora hocino me jalan :(

Answers

Respuesta:

Los enteros positivos, o números enteros, se utilizan de muchas maneras durante la vida diaria. Los números de carretera se contabilizan junto con los límites de velocidad de la carretera. Los enteros se utilizan para comprender qué velocidad conducir en una carretera determinada. Los números en los relojes se utilizan para entender la hora y para configurar las alarmas del reloj. Hay números en edificios y casas para identificar direcciones y números para los niveles de piso dentro de los edificios. Los mapas utilizan enteros para proporcionar dirección e información. Los enteros negativos pueden ser menos obvios para su uso en la vida cotidiana. Algunos ejemplos de uso negativo de enteros incluyen las lecturas del termómetro, manteniendo la puntuación en un juego de hockey, altitud y bancos. Aunque todos estos ejemplos utilizan enteros positivos, también utilizan enteros negativos. Un termómetro utiliza negativo enteros para representar temperaturas por debajo de cero. En hockey, cuando el otro equipo anota en la línea del primer equipo, es un menos, pero cuando el primer equipo anota, es un plus. La altitud que está por debajo del nivel del mar está representada con números negativos. Los bancos y las cooperativas de crédito representan débitos con enteros negativos y créditos con enteros positivos.

Help! I will give brainliest to the best answer.

The high jumper set a new personal record when she cleared 5 feet 8 inches. How can we find how many inches high 5 feet 8 inches is?

Answers

Answer:

60 inches = 5 feet.

Step-by-step explanation:

12 inches in one foot, 12 x 5 = 60, meaning it would be 68 inches high

Olivia’s makes $825 per week at her job at Target. She is paid an additional $15.00 for every hour of overtime she works. Olivia’s goal was to make at least $900 on her paycheck. How much overtime would she have to work to accomplish her goal?
Write, solve and graph the inequality.

Answers

Answer:

Step-by-step explanation:

900-825=75

75/15=5

5 hours extra

A line passes through the point (0,5) and has a slope of -1/2. Which is the equation of the line in slope-intercept form?

A) 2x + y = 7
B) y = 3x + 5
C) y = -2x + 7
D) y = -1/2x + 5

thank you !!:) <3

Answers

Answer: i think it’s D

Step-by-step explanation:

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

Answers

Answer:

[tex]The ~length~ is ~9.6~ units[/tex] ✔︎

༄❁༄❁༄❁༄❁༄

[tex]a=8\\b=2\\c=?\\d=?\\e=5[/tex]

[tex]Using~ Pythagorean ~theorem:[/tex]

[tex]c^2=a^2+b^2[/tex]

[tex]c^2=(8)^2+(2)^2[/tex]

[tex]\sqrt{c^2} =\sqrt{68}[/tex]

[tex]c=\sqrt{68} ~or~2\sqrt{17}[/tex]

»»---------------------►

[tex]d^2=c^2+e^2[/tex]

[tex]d^2=(2\sqrt{17})^2+(5)^2[/tex]

[tex]d^2=68+25[/tex]

[tex]\sqrt{d^2} =\sqrt{93}[/tex]

[tex]d=\sqrt{93} ~or~9.6[/tex]

[tex]So, your~ answer ~is ~9.6[/tex]

✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧

hope it helps...

have a great day!!

Answer:

Using Pythagorean theorem

C²=A²+B²

c=(8)²+(2)²

√c²=√68

c=2√17 or √68

d²=c²+e²

d²=(2√17)²+(5)²

d²=68+25

√d²=√93

d=√93 or 9.6

OAmalOHopeO

3. Find the surface area of the square pyramid.

Answers

Answer:

answer: 105

Step-by-step explanation:

For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!

Market price of an article is 30% above its purchase price.If the shopkeeper sold it by allowing 15% discount,then (i) Calculate the market price and profit amount if the shopkeeper paid 2500 for the article​.
solution by step:

Answers

The market price and profit amount if the shopkeeper paid 2500 for the article​ will be 3250 and 11.05%.

What exactly is profit?

Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.

Given data;

Purchase price = 2500

Given condition;

The markup is 30% more than the purchasing price.

Mark Price is found as;

[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]

The marked price of an article will be 3250.

Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;

[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]

The profit in the article is found as;

Profit = 2762.5-2500

Profit = 226.25 RS

Now profit % is found as;

[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];

Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article,​ will be 3250 and 11.05%.

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Complete the sentences to describe the function f(x) = 2x^2+16x/16x^3-x the function is discontinus at

Answers

Answer:

The answer is "[tex]\bold{\frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}}[/tex]".

Step-by-step explanation:

[tex]\to f(x) = \frac{2x^2+16x}{16x^3-x}[/tex]

            [tex]= \frac{2x(x+8)}{x(16x^2-1)}\\\\= \frac{2(x+8)}{(16x^2-1)}\\\\= \frac{2(x+8)}{((4x)^2-(1)^2)}\\\\= \frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}\\\\[/tex]

Answer: the function is discontinuous at x=0

To create the extended function add f(x)=0,x=0

Step-by-step explanation:

What is the answer to this question?

Answers

Answer:

Step-by-step explanation:

Hello!

2*2* 5+ 2*2*4 =  

20 + 16 = 36 cm³

What is the value of S4 for infinity sigma n=1 10(0.2)^n-1

A. 2.48
B. 12.48
C. 16
D. 24

Answers

Answer:

The answer is B. 12.48.  I hope you have an amazing day <3

Step-by-step explanation:

Answer:

The value of S4 for infinity sigma n=1 10(0.2)^n-1 is B. 12.48

Step-by-step explanation:

Summation

summation is the addition of a sequence of any kind of numbers

Here we need to find the summation of first four terms.

so ,

S₄ = 10 ×[tex]( 0. 2 )^{4-1}[/tex]  = 0.08

S₃ = 10 × [tex]( 0.2 )^{3-1}[/tex] = 0.4

S₂ = 10 ×  [tex]( 0.2 )^{2-1}[/tex] = 2

S₁ = 10  ×  [tex]( 0.2 )^{1-1}[/tex] = 10

Thus, The Value of Summation = S₄ + S₃ + S₂ + S₁ = 12.48

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32-+16 I need help on this sum because I am stuck. Just revision for a test in a month's time.

Answers

Answer: = 16

Step-by-step explanation: Hope this help :D

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