WILL MARK BRAINLIEST
The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 + 160t. Match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).

WILL MARK BRAINLIESTThe Height (in Feet) Of A Rocket Launched From The Ground Is Given By The Function

Answers

Answer 1

I assume you meant h(t) = 160t - 16t^2, as h(t) = 160t - 16t2 has no maximum.

There's two ways of solving this:

(i) By completing the square and finding the maximum turning point.

(ii) By using Calculus methods to find derivative and equating it to 0 in order to find maximum turning point.

(i) h(t) = 160t - 16t^2

h(t) = -16t^2 +160t

h(t) = -16(t^2-10t) (by taking out a common factor of -16)

h(t) = -16[(t-5)^2 - 25] (by completing the square)

h(t) = -16(t-5)^2 + 400 (on multiplying out by -16)

From this we see that the turning point is at (5;400), therefore the maximum height is 400 feet and is reached after 5 seconds.

Or...

(ii) h(t) = 160t - 16t^2

h`(t) = 160 - 32t (where h`(t) = derivative of h(t))

Now to find maximum of h(t), we set h`(t) = 0 and solve for t:

0 = 160 - 32t (on substituting h`(t) = 0)

32t = 160 (on solving for t)

t = 160/32 (on dividing both sides by 5)

t= 5

Now we have found that at 5 seconds, we will reach our maximum height. So to find this maximum height, we'll have to substitute t=5 into h(t) = 160t - 16t^2.

h(5) = 160(5) -16(5)^2

h(5) = 800 - 400

h(5) = 400 feet

So, once again we have shown that maximum height is 400 feet and is reached after 5 seconds.


Related Questions




Helen has only 10 questions left to do of her Math homework. She
has 120 minutes before it's her bedtime and it takes 5 minutes to do
each Math question. Describe the pattern and determine how much
time she will have available after her homework is complete.

A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.

B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.

C)Start at 120 and subtract 5 each time. She will have 75 minutes of free time after she finishes her Math questions.

D) Start at 120 and subtract 5 each time. She will not have enough time to complete all of her math questions.​

Answers

Answer:

B. Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions
B, each question is 5 minutes, so it will take her 50 minutes for her to finish her homework and yu subtract that from 120 and she will have 70 minutes left.

In Need OF HELP !!!!!!!! ​

Answers

The answer you’re looking for is B

Can someone please help me with this?

Answers

Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

(sorry don't know how to put in equations here)

Answer:

Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

solve the system of equations below. x-2y=3 2x-3y=9

Answers

Answer: x = 9, y = 3

Step-by-step explanation:

9 - 2(3) = 3

9 - 6 = 3

2(9) - 3(3) = 9

18 - 9 = 9

Answer:

x=9, y= 3

Step-by-step explanation:

x-2y=3

2x-3y=9

Multiply the first equation by -2

-2x +4y = -6

Add this to the second equation

-2x +4y = -6

2x-3y=9

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

   y = 3

Now find x

x -2y =3

x -2(3) = 3

x-6 = 3

Add 6 to each side

x = 9

Given f(x) = -2x³ + x² - 2 find f(1)

Answers

Answer:

-3

Step-by-step explanation:

[tex]f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3[/tex]

Hope this helps!

Please explain and show work. In the function f(x)=cos⁡x, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is added to the function. Explain the effects this has on the graph of the function (i.e. horizontally, vertically, compressed, stretched, etc.).

Answers

Your graph will actually look like an oscillation (wave), it will be more compressed horizontally. As the value of x increases withe very whole number, your graph will compress horizontally. More like in the image below.

John bought a new home in 2002. The value of the home increases 4% each year. If the price of the house is $375,000 in 2020, how much did he pay for it in 2002?

Answers

Using the formula of P(1 + r)^n = x where p represents the initial value, r represents the rate and n represents the number of years and x is our final output. We want to find P so we have to make it the subject of the equation.

1 + 0.04 = 1.04
1.04^18 = 2.025816515
Then divide the total amount by this to get 185,110.5454
Therefore the answer is $185,110.55

Hope this helps! :)

What is the area of the rhombus shown below?

Answers

Answer:

A. 97.5 square units

Step-by-step explanation:

==>Given:

Rhombus ABCD with the following dimensions:

diagonal 1 (d1) = BD = 15

diagonal 2 (d2) = AC = 13

AB = 9.9

==>Required:

Area of the rhombus

==>Solution:

Since we know the length of the 2 diagonals, area of the rhombus can be calculated using A = ½ × d1 × d2

Area = ½ × 15 × 13

A = ½ × 195

A = 97.5 square units

Answer:

A

Step-by-step explanation:

Put these in size order
5.6x10^-7
8.6x10^-9
5.6x10^-8

Answers

Answer:

Largest: [tex]5.6*10^{-7}[/tex]

Middle: [tex]5.6*10^{-8}[/tex]

Smallest: [tex]8.6*10^{-9}[/tex]

Step-by-step explanation:

Largest: [tex]5.6*10^{-7}[/tex] because -7 is the largest of the 3.

Middle: [tex]5.6*10^{-8}[/tex] because -8 is smaller than -7 but greater than -9

Smallest: [tex]8.6*10^{-9}[/tex] because -9 is the smallest of the 3

Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

No because to be a function, each dot on the graph would need to be located at its own x value. Looking at the graph you see two dots located at x = 5 so it is not a function.

No because x= 5 so yea

Which of the following is not an attribute of parallelograms? Opposite sides are parallel. Consecutive angles are supplementary. Diagonals bisect each other. Diagonals are congruent.

Answers

Answer:

Diagonals are congruent

Step-by-step explanation:

The diagonals of a parallelogram are not congruent; one is longer than the other

What would be the answer and how would i get it?

Answers

Answer: c

Step-by-step explanation:

I very easy solve for x> then you take -3 -2 1,0 in order to get your answer

Answer:

x = {-3, -2, -1, 0, 1}

Step-by-step explanation:

We need to find the set that satisfies the inequality x > -4 ∩ x ≤ 1.

∩ means find the members that are common between two sets.

This means that we need to find the set of all integers that satisfy x > -4 and x ≤ 1

So, to find the low end, we find the lowest integer that satisfies x > -4, which is -3.

Now, to find the high end, we find highest integer that satisfies x ≤ 1, which is 1.

So x = {-3, -2, -1, 0, 1}

What is the contrapositive of the conditional statement? If two variables are directly proportional in the graph is a linear function

Answers

Is there a picture ? This question resolves a picture

The table shows ordered pairs of the function y = 16 + 0.5x .

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?

(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)

Answers

Answer: The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.

The ordered pairs simply means for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20)  is the correct ordered pair that would fill in the missing values x and y.

Answer:

The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation:

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

5 days

Step-by-step explanation:

Since the burrito stand uses 1/2 of a bag of tortillas, take 2 1/2 divided by 1/2 to find how many days the tortillas will last.

2.5/0.5 = 5 days

A chemical is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas.

Answers

Answer;

Explanation:

CHECK THE COMPLETE QUESTION BELOW:

chemist is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas. Explain these observations.

ideal gas reffered to as one that has the collisions between its atoms or molecules perfectly eleastic and in which there are no intermolecular attractive forces existing between them. The ideal gas concept is important because it obeys the ideal gas law.

Which is PV=nRT

Where P is the pressure

T is the Temperature

V is the Volume

R is ideal gas constant

n is amount of substance

The ideal gas model assumes that gas particles experience no intermolecular attractions. These are the behavior of gases under different condition

✓At low temperature, gas particles move slowly.

-✓At high pressures, gas particles are very close together.

✓ When the particles of gases are close they have low speed and their low speed allow intermolecular forces to become important at high pressure and low temperature.

OBSERVATION S:

At room temperature which is comfortable ambient temperature, generally taken as about 20°C to 25C

Gases behave non ideally at cold temperatures, So when the gas is cooled to 10Kelvin, molecules are moving relatively slowly past one another, then they give room for the repulsive and/or attractive forces between their molecules giving room for deviation from an Ideal Gas.

The intermolecular forces cause the gas to deviate from ideal behavior So, the reason why a gas deviate from ideal behaviour may be due to some two assumptions of kinetic theory of gases. The forces of attraction between gas molecules are negligible. When the gas is placed under high pressure the gas molecules get more crowded and the amount of empty space between the molecules is reduced.

--

Answer:

Ideal gas explains the property of gas that has no inter-molecular attractions irrespective of temperature and pressure.

Explanation:

Ideal gases assumes that the gases would experience no inter-molecular attraction and collision with other gases.

These gases are perfectly exhibiting elastic collision in nature.

The particle of gases moves slowly at lower temperature and the gases would become close when they exhibit high pressure.

The "closeness of the gas-particle" and "low-speed characteristics" are the important observations noted.

The inter-molecular forces deviate the property of gases from ideal gas behavior.

Step-by-step explanation:

I will give you brainliest!!!! Which term best describes the slope of this line?

Answers

Answer:

zero

Step-by-step explanation:

The line is a horizontal line

Horizontal lines are of the form y= constant

This means they have zero slope

It’s zero because there is no slope and if it’s a straight horizontal line it’s a 0

The sum of the interior angles of a polygon is 8,100. How many sides does the polygon have?

Answers

Answer:

explanation below

Step-by-step explanation:

(n - 2) * 180 = 8100

n - 2 = 8100/180

n - 2 = 45

n = 45 + 2

n = 47 sides <---answer

happy to help ya :)

A circle fits in a square with sides of 12 inches what is the appt area of the shaded region. Between the square and circle using 3.14 and round to nearest whole number

Answers

Answer:

144-36π sq. in.

Step-by-step explanation:

Solve for y: 5-3y - 8y = 121 *

Answers

Answer:

y= -116/11

Step-by-step explanation:

5-3y-8y=121

5-11y=121

5-5-11y=121-5

-11y=116

-11y/-11=116/-11

y= -116/11

y= 10.5 , subtract 5 from 121, add -3y & -8y together, then divide by -11y to get your answer.

this camera stuff stinks but i need help on this

Answers

Answer: 4.2

Step-by-step explanation:

the coefficient is the number used to multiply a variable. here, the variable is x, and it is being multiplied by 4.2.

so the coefficient of the equation is 4.2

Johann baked 24 cookies for a picnic with his
friends. Of the 10 friends he invited, 7 friends
were able to attend the picnic. If Johann gave -
each of his friends the same number of
cookies and had 3 cookies left for himself, how
many did each friend get?

Answers

Answer: Each friend got 3 cookies.

Step-by-step explanation:

Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.

Answer:

Step-by-step explanation:

So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.

24-3=21

Then divide 21 by the number of friends.

21÷7=3

So each friend got 3 cookies.

18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 cats, there are 2r+1 mice, and when there are 6r-27 mice, there are r-5 cats. Find k. Please help, and do not answer with an "I don't know" or "Sorry, this is too hard." Thank you all!

Answers

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

[tex]Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}[/tex]

When there are 3r-19 cats, there are 2r+1 mice

[tex]2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)[/tex]

When there are 6r-27 mice, there are r-5 cats.

[tex]6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)[/tex]

Taking the values of k above, we have:

[tex]k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7[/tex]

Therefore:

[tex]k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30[/tex]

Hosn is a picture framer. He is framing a picture that is 24 inches by 32 inches with a
frame that is 2.5 inches wide. What is the outer perimeter of the framed picture In yards, feet, and inches.​

Answers

Answer: 122 sq. in.

Step-by-step explanation:

P = 2 (l + w)

P = 2 (34.5 + 26.5)

P = 2 x 61

P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards

Perimeter is the sum of the side lengths of a shape. The outer perimeter of the framed picture is:

132 inches3.67 yard11 feet

Given that:

[tex]Length = 24in\\Width = 32in[/tex]

The width of the frame is given as:

[tex]Frame =2.5in[/tex]

So, the actual length and width of the framed picture is:

[tex]Length =24 + 2.5 + 2.5[/tex]

[tex]Length =29in[/tex]

[tex]Width = 32 + 2.5 + 2.5[/tex]

[tex]Width = 37in[/tex]

The outer perimeter (P) in inches is:

[tex]P= 2 \times (Length + Width)[/tex]

So, we have:

[tex]P= 2 \times (29in + 37in)[/tex]

[tex]P= 132in[/tex]

The perimeter in yard, is as follows:

[tex]P= \frac{132}{36}yd[/tex]

[tex]P = 3.67yd[/tex]

The perimeter in feet is as follows:

[tex]P= \frac{132}{12}ft[/tex]

[tex]P = 11ft[/tex]

Hence, the outer perimeter of the frame is 132 inches

Read more about perimeters at:

https://brainly.com/question/6465134

In a condominium complex, 2/3 of the women are married to 3/4 of the women. What part of the entire population is married? Please show work

Answers

Answer:

(QUESTION CORRECTNESS : 2/3 OF MEN ARE MARRIED TO 3/4 OF WOMEN)

Part of Entire Population married = 12/17 = 70.58%

Step-by-step explanation:

Fraction of men married:

[tex]\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{8}{12}..........[/tex]

Fraction of women married:

[tex]\frac{3}{4}=\frac{6}{8}=\frac{9}{12}=\frac{12}{16} .........[/tex]

To solve the problem, we know that number of husbands should be equal to number of wives.

Number of husbands and wives are represented by the numerators of both fractions.

We have to find such a multiple of each fraction such that there numerator are same.

Let fraction of men married:  [tex]\frac{6}{9}[/tex]

Let fraction of women married:  [tex]\frac{6}{8}[/tex]

Add the numerators and denominator to find the solution:

[tex]\frac{6+6}{9+8}= \frac{12}{17}[/tex]

What’s the logarithmic form equation?

Answers

Answer: i hope this will help you

a^x=y this is a simple equation

where as loga(in the base) y=x this is a logarithmic equation

What is the relation between the variables in the equation x= -3/y? a. y varies directly as x c. y varies jointly as x b. y varies inversely as x d. none of the above

Answers

Answer:

(b)

Step-by-step explanation:

This is inverse variation.  As y increases (but not allowed to be zero), x decreases.  Thus, (b) is correct:  y varies inversely with x.

The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q,

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  

where, that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then, m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by;

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As , increasing one variable will decrease the other variable if both are inversely proportional.

Here the relation between the variables in the equation x= -3/y;

This is inverse variation, As y increases (but not allowed to be zero), x decreases.

Thus, (b) is correct, y varies inversely with x.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

Expand and Simplify (x+7)(x+5)

Answers

Answer:

[tex]=x^2+12x+35[/tex]

Step-by-step explanation:

[tex]\left(x+7\right)\left(x+5\right)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]a=x,\:b=7,\:c=x,\:d=5\\=xx+x\cdot \:5+7x+7\cdot \:5\\=xx+5x+7x+7\cdot \:5\\=x^2+12x+35[/tex]

x^2+5x+7x+35
and then final simplified answer is going to be x^2+12x+35

What are the answers? No hurry; I just have other things to do.

Answers

Answer:

what u need help with

Step-by-step explanation:

Need answers quick. Find the endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−6,−6) Midpoint: (−2,0)

Answers

Answer: The second endpoint is  (2,6)

Step-by-step explanation:

[tex]\frac{-6 +x}{2}[/tex] = -2  solve for x  

-6 +x = -4

+6        +6

x= 2

[tex]\frac{-6+y}{2} = 0[/tex]  

-6 + y = 0

+6         +6

 y= 6

Other Questions
x-y+z for x= 1,y=6,z=1 I need help on my algebra. :) Given the following, determine the set (A'U B')C.U = {x |x N and x < 10}A = {x | x N and x is odd and x < 10)B = {x|x N and x is even and x < 10}C = {x|E N and x < 8) Troy was located in what is now modern ______________. 2. What was the Judgment of Paris? 3. Helen of Troy was married to ______________, king of _______________. 4. Why were all the Greek generals obligated to defend Helen? 5. Who warned the Trojans to beware of Greeks bearing gifts? What happened to him? 6. The Trojan War is the subject of the two Greek epic poems, the _____________ and the ____________ by the blind poet, __________. 7. Augustus commissioned the Roman writer _____________ to write the ________________ to glorify_________________ and the _____________________. 8. Whom is Aeneas carrying on his shoulders in Bernini's sculpture? 9. Who was Dido and what was her relationship with Aeneas? 10. What Homeric epic poem did Heinrich Schlieman use as his guide in finding the site of Troy? Why did the Populist Party fail? 2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. * Find two consecutive whole numbers that square root 2 lies between. What is the velocity of a bobsled that travels 100 meters in 8.9 seconds in m/s Which citation correctly reflects MLA guidelines for a website without an author?N.A. The Land Down Under. Australia Department of Tourism, 1 February 2013. Net. 14 June 2013.N.A. The Land Down Under. Australia Department of Tourism, 1 February 2013. Web. 14 June 2013.The Land Down Under. Australia Department of Tourism, 1 February 2013. Net. 14 June 2013.The Land Down Under. Australia Department of Tourism, 1 February 2013. Web. 14 June 2013. If f(x)=7+4c and g(x) = 1/2x what is the value of (f/g)(5) Of course, just as he reached the top of the stairs, he could hear the ring of the telephone from down below.What is the correct part of speech for the word ring as it is used in this sentence?verbadjectiveadverbnoun What does it mean to refine your essential question?To make it more broad so it covers more informationTo begin collecting facts that support your research topicTo write multiple ideas about a topic to gather research dataTo narrow down your topic so it is manageable and meaningful 4 ounces for every 16 ounces. Rate or ratio and in simplest form Why are Shakespeare's plays harder for modern students to understand do u agree or disagree? Explain why you this this way. Solve & ShareEvaluate the expression 3+ (6 2) X 4.Solve this problem using the order of operations.3 + (6 2) X 4 Yes, she had changed her mind after sixty years and shewould like to see George. I want you to find George. Findhim and be sure to tell him I forgot him. I want him to knowI had my husband just the same and my children and myhouse like any other woman. A good house too and a goodhusband that I loved and fine children out of him. Betterthan I had hoped for even. Tell him I was given backeverything he took away and more.Which two themes does this passage most clearly develop?O A. One person's trash is another's treasure seeking revenge leads todisasterOB. The mind can play tricks on you, you must determine your ownself-worthO C. The past influences the present what has been lost can beregainedOD. The past can give us hope those who wait will be rewarded.I NEEED HELP Arranging items by order or category is called ? On July 1, 2016, Farm Fresh Industries purchased a specialized delivery truck for $264,000. At the time, Farm Fresh estimated the truck to have a useful life of eight years and a residual value of $24,000. On March 1, 2021, the truck was sold for $115,000. Farm Fresh uses the straight-line depreciation method for all of its plant and equipment. Partial-year depreciation is calculated based on the number of months the asset is in service.Required: 1. Prepare the journal entry to update depreciation in 2021 2. Prepare the journal entry to record the sale of the truck. 3. Assuming that the truck was instead sold for $141,000, prepare the journal entry to record the sale. Calculate the surface area of the egg (in m2). The formula for calculating the surface area (SA) of a sphere is given below. SA = 4r2. Use 3.14 as the value for .