An object is launched directly in the air at a speed of 48 feet per second from a platform located 12 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+48t+12, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?

Answers

Answer 1

9514 1404 393

Answer:

  48 ft

Step-by-step explanation:

For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.

  t = -48/(2(-16)) = 1.5

Then the maximum height is ...

  f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12

  f(1.5) = 48

The maximum height the object will reach is 48 feet.

An Object Is Launched Directly In The Air At A Speed Of 48 Feet Per Second From A Platform Located 12

Related Questions

Find the value of expression for (3.4) to the power of 2 show your work.

Answers

Answer:

11.56

Step-by-step explanation:

If a rectangle is 10 units wide and x units long what is the perimeter of this rectangle

Answers

Answer:

20+2x

Step-by-step explanation:

If you're just looking for an expression, then it would be 20+2x considering there's no way to solve for x, and there's 2 widths and 2 lengths of a rectangle

Answer:

20+2x

Step-by-step explanation:

Which of these graphs represents a function?
2
5-4-3-2-1,
2
5
15-4-3-2-1,
4
2
3
4
w.
x
y
ST
ST
1
-5-4-3-2-1.
1
45
5-4-3-2-
2
Y
Z.
2020 Edimentum. All rights reserved.

Answers

according to the picture, I would say option x.

The correct graphs which represents a function is shown in ''Option B.''

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

There are four graphs are shown in image.

Now, We can check all the graph by vertical line test.

If the vertical line cut only at one point of the graph, then, it shows the function.

If the vertical line cut more than one point of the graph, then, it cannot shows the function.

Hence, By vertical line test,

The correct graphs which represents a function is shown in Option B.

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Determine the constant of proportionality for each table as y=kx
Pls freaking help me

Answers

Answer:

1,000

Step-by-step explanation:

all you have to do is y/x

3,000/3=1,000

I need help This assignment is due Tomorrow let’s go

Answers

1. C
2. B
3. C
4. ?
5. B
6. A C F

Answer:

1. C 25 because it's the opposite

2. B. 2 because there is only two negative

3. B. The opposite of 2 1/2 that will be negative

4. I can't see

5. C because if it had [5 3/4] it will be -5 3/4

6. A, C, and F

7. I don't know

what is the expanded notation for 7,5612​

Answers

Answer:

7.5612  ×  10 ^4

Step-by-step explanation:

You move the decimal until there is one digit to the left of the decimal. However many times you moved it becomes the power of the 10. If you move the decimal to the right, it will be negative. If you move the decimal to the left, it will be positive.

Use the distributive property to write an expression that is equivalent to 8(7+x).

Answers

Answer:

56+8x

Step-by-step explanation:

Answer: 56 + 8x

Explanation: Multiply the 8 by the 7, then the 8 by the x. (8)(7) + (8)(x) Therefore the answer is 56 + 8x. This is called distributive property

Hope this helps! :)

I need the answer plzzz I really need it plzz help me

Answers

I honestly don’t know good day

Answer:

Never learned it sorry but I have no idea bro good luck

PLSSSS HELPPPP I WILLL GIVE BRAINLIEESTTT!!!!!!!!!!

Answers

Answer:

Yes, this is a function.

No, this is not a linear function.

Step-by-step explanation:

A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

If this was helpful please mark brainliest. Have a great day.

Use the equation below to find y, if m=7, x= 6, and b = 11.

y=mx-b​

Answers

Answer:

y=31.

Step-by-step explanation:

y= mx - b

y= (7)(6)-(11)

y= 42-11

y=31.

Hey there!

y = mx - b


mx - b = y


7(6) - 11 = y


42 - 11 = y


31 = y


Therefore, your answer is: y = 31


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

30 points! here are the rows for 3 and 7 are highlighted. how would you find the multiple of 3 that would form a ratio with 35 that is equivalent to 3/7?

Answers

Answer:

answers are 35, 3, and 15

Step-by-step explanation:

the first blank is 35

the Second blank is 3

the thired blank is 15

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?

The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units. O
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.​

Answers

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

Answer:

d

Step-by-step explanation:

You have 50 quarters. You find ​20% more quarters in your room. Then you go shopping and spend 75​% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping.​ Calculate, in​ dollars, the amount of money you have left.

Answers

Answer:

3.75

I think this is the answer

Answer:

50+(50×0.20)

and $3.75

7.901×10 to the 12th power in standard form

Answers

Answer:

7019

Step-by-step explanation:

Answer:

Nan-9

Step-by-step explanation:

How can you tell what kind of compound inequality an absolute value inequality will represent?

Answers

Answer:

Solving Absolute Value Inequalities. As we know, the absolute value of a quantity is a positive number or zero. From the origin, a point located at [latex]\left(-x,0\right)[/latex] has an absolute value of [latex]x[/latex] as it is x units away. Consider absolute value as the distance from one point to another point.

Step-by-step explanation:

Answer:

Well you see an absolute value means that it will be absolute value, and inequality means not equal. (I had to make the answer more advanced ;)

Step-by-step explanation:

But thanks for the points ;)))

Factor the expression completely.
3x + 24

Answers

Answer:

3(x+8)

Step-by-step explanation:

In order to factor the expression completely, you need to find the greatest common factor of both numbers, which would be 3 because 3 fits in both numbers without leading to weird decimals or fractions.

3(x+8) is the answer.

WILL MARK BRAINLIST!!!

Sabrina's average speed was 8 miles per hour during the first half of her bike ride. She increased her average speed to 16 miles per hour during the second half of her bike ride. What percentage represents the increase in Sabrina's average speed during her bike ride?

A. 50%

B. 80%

C. 100%

D. 200%​

Answers

D. 200%

if 8 is a whole (100%) and 16 is twice of that, you can conclude that her speed increased by 200%

Tim can swim 150 meters in 6 minutes.
How long will it take him to swim 400 m?

Answers

Answer:

Step-by-step explanation:

150/6 = 25. that is your unit rate

400/25= 16 minutes

Your answer is 16 minutes because for every minute Tim can swim 25 meters and 400 divided by 25 is 16.

Is this a proportional relationship?

Answers

Answer: yes

explanation: it starts at the origin of 0,0, which means its a proportional relationship

yes it is a proportional relationship.

Ann has two coupons for a chair.
Coupon A:
Coupon B:
35% off of a $55 chair
$22 rebate on a $55 chair
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.

Answers

Answer:Coupon B gives the lower price. The price of coupon B is $4.4 less than the price of coupon A.

Step-by-step explanation:

The coupon B gives the lower price. That means by using coupon B, Ann will get a chair at $33.

The price with coupon B is $2.75 less than the price with coupon A.

What is coupon?

A coupon is a ticket or document that can be redeemed for a financial discount or rebate when purchasing a product.

What is percentage?

A percentage is a proportion that shows a number as parts per hundred

How to convert percentage into a number?

To convert a percent into a number divide the given percentage by hundred and remove the percentage sign.

According to the given question.

Ann has two coupon for a Chair.

Coupon A is giving 35 percent off on a chair of $55.

And, coupon B is giving $22 0ff on chair 0f $55

If Ann uses coupon A then the amount she have to pay for chair is given by

Amount = [tex]55-\frac{35}{100} ($55)[/tex]

Amount = [tex]55-0.35(55)[/tex]

Amount = [tex]55-19.25[/tex]

Amount = $35.75

If Ann uses coupon B then the amount she have to pay for chair is given by

Amount = $55 - $22

Amount = $33

Hence, the coupon B gives the lower price. That means by using coupon B, she will get a chair at $33.

Since, through coupon A the amount she have to pay is $35.75 and through B she have to pay the amount of $33.

Now, $35.75 - $33 = $2.75

Thus, the price with coupon B is $2.75 less than the price with coupon A.

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HW#4: You are shopping at Target and 10 sheets of stickers cost $20.50...A. what would 3 sheets cost? B. what would 19 sheets cost? *

Answers

Answer:

50$b

Step-by-step explanation:

The diagram shows a regular dodecagon. Work out the size of one interior angle

Answers

9514 1404 393

Answer:

  150°

Step-by-step explanation:

The size of one interior angle of a regular n-gon is ...

  interior angle = 180° - 360°/n

For n=12, this measure is ...

  = 180° -360°/12 = 180° -30°

  interior angle = 150°

Answer:

150

Step-by-step explanation:

whats 2+2 i honestly dont know

Answers

Answer:4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

say you have 2 cookies then get 2 more then you have 4

A field hockey field is rectangular. Its width is 54.88 meters, and its perimeter is 289.76 meters. Find the length of the field.

Answers

Answer:

90 PLEASE MARK ME BRAINLLIEST

Step-by-step explanation:

289.76-54.88-54.88=180/2=90

Perimeter is the sum of the length of the sides used to make the given figure. The length of the field is 90 meters.

What is the perimeter?

Perimeter is the sum of the length of the sides used to make the given figure.

Given that the width of the field is 54.88 meters and the perimeter of the field is 289.76 meters. Therefore, we can write the perimeter as,

Perimeter = 2(Length + Width)

289.76 meters = 2(Length + 54.88 meters)

289.76meters / 2 = Length + 54.88 meters

144.88metes = Length + 54.88 meters

Length = 144.88 meters - 54.88 meters

Length = 90 meters

Hence, the length of the field is 90 meters.

Learn more about perimeter here:

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If A is the area of a circle with radiusr and the circle expands as time passes, find dA/dt in terms of dr/dt.
So I have, A= π r2
dA/dt = 2π r (dr/dt)

Answers

Answer:

[tex]\frac{dA}{dt} = 2\pi r(\frac{dr}{dt})[/tex]

Step-by-step explanation:

Your solution is correct (See explanation):

Area (A) of a circle is

[tex]A = \pi r^2[/tex]

Where

[tex]r = radius[/tex]

Differentiate both sides with respect to t

[tex]\frac{dA}{dt} = 2\pi r(\frac{dr}{dt})[/tex]

This is so because, we have to differentiate A on the left hand side and r on the right hand side because [tex]2\pi[/tex] is a constant

Hence, your solution is correct and and

[tex]\frac{dA}{dt} = 2\pi r(\frac{dr}{dt})[/tex]

Find the greatest common factor of 15x2y3 and -20x3yz.

Answers

Answer:

5x^2y is the GCF for 15x2y3 and -20x3yz.

Step-by-step explanation:

) How many degrees of freedom are available for hypothesis tests and confidence intervals for single regression coefficient

Answers

Answer:

We use students' t distribution therefore degrees of freedom is v= n-2

Step-by-step explanation:

Confidence Interval Estimate of Population Regression Co efficient β.

To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x  is not known so we use S.y.x and also student's t distribution rather than normal distribution.

t= b - β/S.y.x / √(x-x`)² = b - β/Sb    [Sb = S.y.x / √(x-x`)²]

with v= n-2 degrees of freedom.

Consequently

P [ - t α/2<  b - β/Sb  < t α/2] = 1- α

or

P [ b- t α/2 Sb<   β  < b+ t α/2 Sb] = 1- α

Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30  is given by

b± t α/2 Sb

Using the same statistic a confidence interval for α can be constructed in the same way for  β  replacing  a with b and Sa with Sb.

a± t α/2 Sa

Using the t statistic  we may construct the confidence interval for U.y.x for the given value X0 in the same manner

Y~0 ± t α/2(n-2) SY~

Y~0= a+b X0

What is the following product?​

Answers

Answer:

C. [tex]\sqrt[6]{432}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{4}\ \cdot\sqrt{3}[/tex] = 2.749459274

[tex]\sqrt[6]{432}[/tex] = 2.749459274

[tex]\sqrt[3]{4}\ \cdot\sqrt{3}[/tex] = [tex]\sqrt[6]{432}[/tex]

3(a+b) and 3a+b is this equivalent or non equivalent

Answers

Answer:

non equivelent

Step-by-step explanation:

just as an example to prove my awnser lets make a=1 and b=2

3(1+2)=9

3(1)+2=5

it would be equivelent if they both equaled the same number. :P

............................... 5+5 =?

Answers

Answer:

10

Step-by-step explanation:

simple math

Answer:

21

Step-by-step explanation:

lolllllllll

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