Given f(x) = 1/3(4 – x)^2 ,
what is the value of f(16)?

Answers

Answer 1

Answer:

48

Step-by-step explanation:

Plug in 16 to the function:

f(16)=1/3(4-16)^2

=1/3(-12)^2

=144(1/3)

=48


Related Questions

The radius of a circle measures 11cm. what is the circumference of the circle?​

Answers

Answer:

C = 69.08

Step-by-step explanation:

C = 2πr

C = 22π or 69.08

it's all on the picture ​

Answers

The answer is 15
15 +9 = 24

Answer:

j = 15

Step-by-step explanation:

j + 9 = 24

j + 9 - 9 = 24 - 9

j = 15

A diameter of a circle has endpoints at (-3, 2) and (-3,-3). What are the coordinates of the center
of the circle?
A (0, 3)
B(-3,-1)
C(-6, -1)
D (-3, 0)

Answers

Answer:

B (-3, -1/2)

Step-by-step explanation:

2 and -3 are 5 units apart which means that the middle is 2 1/2 from either point. This point is (-3, -1/2)

Have a great day!

In March, an American tourist changed US $1000 into Jamaican currency. Calculate the amount of JM dollars he received. USD $1.00 = JMD $146
a. $0.146
b. $146,000
c. 104,600
d. 150,000

Answers

Answer:

b. $146,000

Step-by-step explanation:

1 usd = 146 jmd

1000 = ___ jmd

We multiply 1000 and 146:

1000($146) = $146,000

1000$ X 146$ = 146,000$ you take the amount in the US dollar that they want you to calculate and multiply it to the JMD $146

Seth bought glow-in-the-dark stars to
put on his ceiling. There are 5 big stars
and 25 little stars. He wants to make
constellations that each have 1 big
star. If he uses the same amount of
stars for each constellation, how many
little stars will each have?

Answers

Answer:

Each constellation will have 5 little stars.

Step-by-step explanation:

First, let's organize the information we have:

5 big stars25 little starsEach constellation should have 1 big starEach constellation should have the same amount of stars

Now, let's solve the problem:

Each constellation should have 1 big star, and Seth has 5 big stars, so we can infer that there would be 5 constellations.Since each constellation have 1 big star, and the amount of stars in each constellation is the same, the amount of little stars in each constellation are the same.We have 25 little stars, and there are 5 constellations; 25 ÷ 5 = 5, so each constellation have 5 little stars.

An aquarium holds 11.95 cubic feet of water, and is 2.8 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

3.05feet

Step-by-step explanation:

Given data

Volume = 11.95 cubic feet

Lenght =  2.8 feet

Width= 1.4feet

Depth= ????

We know that the expression for the volume is

V= L*W*D

substitute

11.95= 2.8*1.4*D

11.95= 3.92D

divide both sides by 3.92

D= 11.95/3.92

D= 3.05

Hence the depth is 3.05feet approx

Find the value of x. Round your answer to the nearest tenth.



x≈

Answers

Answer:

You did not give us an equation :\

You didn’t give us the equation

An outdoor art display is a metal cube with edge length 57 feet. What is the volume of the cube in cubic​ feet? In cubic​ yards?

Answers

Nevermind, my answer is wrong

whats the measure of angle E ?

Answers

Answer:

57degrees

Step-by-step explanation:

The triangle is an isosceles triangle, hence m<D = m<E (base angles are equal)

Taking the sum of the angles and equating to 180

5x-4 + 4x+1 + 4x+1 = 180

5x+4x+4x-4+1+1 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x =182/13

x = 14

Get m<E

m<E = 4x+ 1

m<E = 4(14)+ 1

m<E = 56+1

m<E = 57degrees

Hence the measure of m<E is 57degrees

Joel has a 41 in board leaning up against a wall the board hits the wall 40 inch above the ground how far from the wall is the base of the board.​

Answers

Answer:

9

Step-by-step explanation:

41^2 - 40^2 = 81

The square root of 81 is 9. I hope this helps.

Quadrilateral ABCD has the following coordinates A (0,0) B(0,3) C(5,5) D(5,2). What kind of quadrilateral is ABCD? Prove your answer

Answers

Answer:

Parallelogram

Step-by-step explanation:

Prove using diagram on graph paper (attached drawing)

Q9 The number that happens the most: *

A Mean
B Median
C Mode
D Range

Answers

Answer:

C

Step-by-step explanation:

The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

1 kilogram 900 is it more than less than or equal to




plz help​

Answers

Answer: =

Step-by-step explanation:

Need help on the diagonal of the rectangular prism

Answers

Find the length of the rest of the rectangle on the bottom and then use pythagorean theorem to find the diagonal side of the triangle.

Skill
Figure A is a scale image of figure B.
Area
Figure A
Area
probi
Quiz
Prace
upo
Figure B
Verti
supp
12
2
Figure A maps to figure B with a scale factor of
7
Unit
Test
What is the value of x?

Answers

Answer:

42

Step-by-step explanation:

you have to do 12 ÷2/7 to get the answer

16 out of 25 is equal to what percent?

Answers

Answer:

64

Percentage Calculator: 16 is what percent of 25? = 64.

Step-by-step explanation:

PLZ MARK BRAINLIEST I REALLY NEED THEM TO LEVEL UP

64. It’s roughly 1/3rd of this question.

I need the Answers to this giving brainliest to the person who does not send me a unknown link and actually does the work

Answers

which question do you need to be answered? do you want all of them?

Answer: Look below!

Step-by-step explanation:You can use the Calc below in the pictures

1. √2/2

2. -√2/2

Proof it works!

a soda company puts a different symbol on a soda cap each year. ​

Answers

Answer:

cool

Step-by-step explanation:

A daily newspaper sells monthly subscriptions for $15. Each individual copy of the newspaper costs $0.75. In a month that has exactly 30 days, how much could be saved by purchasing a subscription instead of purchasing an individual copy each day?

Answers

Answer:

With the subscription, $7.5 will be saved.

Step-by-step explanation:

Giving the following information:

A daily newspaper sells monthly subscriptions for $15. Each copy of the newspaper costs $0.75.

First, we need to calculate the total cost of buying 30 newspapers individually:

Total cost= 0.75*30

Total cost= $22.5

Difference= 22.5 - 15= $7.5

With the subscription, $7.5 will be saved.

HELP!!!!!! BRAINLIEST AWARD!!!!!!
help with math problem below:

Answers

Answer:

Antonio is the right one

Answer:

∠ A = 123°

Step-by-step explanation:

The central angle A is equal to the arc that subtends it , so

∠ A = arc DE = 5x - 2

The angles subtended by the radii and tangents of a circle are supplementary

2x + 7 + 5x - 2 = 180 ← Antonio is correct

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

∠ A = 5 - 2 = 5(25) - 2 = 125 - 2 = 123°

NEED HELP ASAP!!!!! Can someone help me???

Answers

Answer:

F = 6x

O = -3x

I = 10x

L = -5

Step-by-step explanation:

FOIL follows the formula:

(a + b)(c + d) = ac + ad + bc+ bd

Answer:

F: (3x) (2x) = 6x^2

O: (3x) (- 1) = -3x

I: (5) (2x) = 10x

L: (5) (-1) = -5

y=3x+4 and 2x-3y=-26 solve for x and y

Answers

Step-by-step explanation:

2x - 3(3x+4) = 26

2x -9x -12 = 26

-7x = 38

x = -38/7

y = 3(38/7) +28/7

y = 142/7

Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava from the balloon

Answers

Answer:

17

Step-by-step explanation:

Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.

I'm pretty sure thats right, Hope this helps.

Help
Write an equation in slope-intercept form of the line that passes through the given points.

Answers

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

Change this fraction into a decimal: 80/100

.8


.08


8.0

.008




will give brainlist!!!

Answers

Answer:

0.8

Step-by-step explanation:

80 divided by 100 = .8 or 0.8

The equation A= 1750(1.04)t represents an account balance t years after the account was created. Which statement is correct?
A. The account balance will decrease 0.04% each year.
B. The account balance will increase 0.04% each year.
C. The account balance will decrease 4% each year.
D. The account balance will increase 4% each year.

Answers

Answer:

D. The account balance will increase 4% each year.

Step-by-step explanation:

Given the equation :

A= 1750(1.04)t

This is an exponential growth rate equation which has it's general format as :

A = A0 * (1 + r)^t

A0 = initial value,

Since (1 + r) is greater Than 1 ; then we conclude that it is a growth relation.

1 + r = 1.04

The rate, r = (1.04 - 1) = 0.04

r = 0.04 = (0.04 * 100%) = 4%

Hence, The account balance will increase 4% each year.

Which of the following would not be a line in solving the equation:
7x-8-5x = 52
12x = 60
12x = 44
12x - 8 = 52
x = 5

Answers

Answer:

Step-by-step explanation:

Let's actually solve the equation.  By doing so we should readily see which of the given equatins are not part of the solution.

7x - 8 - 5x = 52 becomes 2x - 8 = 52 if we consolidate the x terms.  Next, we consolidate the constant terms on the right, obtaining 2x = 60.

Then x = 30 is the solution.

12x = 60 would not be part of the solution.

12x = 44 would not either.

12x - 8 = 52 would not either.

x = 5 would not be part of the solution.

Again:  The solution is x = 30.

Suppose an arithmetic sequence has a common difference of -5. What is the next term after 105?

Answers

Answer:

         - 525

Step-by-step explanation:

[tex]a_{n+1}=a_n\cdot r[/tex]

So, if the common ratio is -5 the next term is always (-5) times the previous term.

105·(-5) = - 525

65/p • 3 when p = 5

Answers

Answer:

39

Step-by-step explanation:

65/5=13

13x3=39

Answer:

39

Step-by-step explanation:

Note that p = 5. Plug in 5 for p in the expression. Remember to follow the  

left-> right rule:

65/p • 3

65/5 • 3

(65/5)  •  3

(13)  •  3 = 39

39 is your answer.

~

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the given line in standard form.

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answers

Answer:

The equation of the line is;

3y = 2x-8

Step-by-step explanation:

Firstly, we need the to get the slope of the given line

To do this, we will write the equation of the line in the standard form

the standard form

is;

y = mx + b

where m is the slope and b is the y-intercept

y -4 = 2/3(x-3)

y -4 = 2x/3 - 2

y = 2x/3 -2 + 4

y = 2x/3 + 2

with respect to the given equation, the slope of the line is 2/3

Mathematically, when two lines are parallel, the slopes of the line are equal

So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)

so;

y = 2x/3 + b

So substitute the values of (1,-2)

1 for x and -2 for y

-2 = 2/3(1) + b

-2 = 2/3 + b

b = -2 - 2/3

b = (-6-2)/3 = -8/3

So the equation of that line is;

y = 2/3x - 8/3

Multiply through by 3

3y = 2x - 8

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