Let f(x)=4(1/3)^2x. Which is equal to f(1)?

Answer:

= 12 miles per hour

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=  

12 miles

1 hour

=  

12 miles

hour

= 12 miles per hour

Answer:

D

Step-by-step explanation: the answer is D

Answer:

$96.35

Step-by-step explanation:

31.45 x 2 = 62.90

62.90 + 18.50 + 14.95 = $96.35

Answer:

The answer is -7.

Step-by-Step explanation:

Answer:

190.67 ft/sec

Step-by-step explanation:

130 mi/hr x 5280 ft/mi x 1/60 hr/min x 1/60 min/sec = 190.67 ft/sec

It makes more sense if you write these as fractions and cancel units.

Answer:

x= 8   y= 1

Step-by-step explanation:

First, you identify your variables:

x= larger number

y= smaller number

Second, you find your equations:

x - y = 7

2x + 3y = 19

Third, (I used the substitution method) you make "y" by itself for the 1st equation.

y = x - 7

2x + 3y = 19

Then, you plug in the 1st equation for "y" in the 2nd equation

2x + 3(x - 7) = 19

Then, you distribute and simplify.

2x + 3x - 21 = 19

5x - 21 = 19

5x = 40

x = 8

Finally, you plug in the variable you found ( x ) into one of the equations and solve,

8 - y = 7

- y = -1

y = 1

Answer:

318-320

4271-4270

18293-18290

Answer:

x = 3

y = 4

Step-by-step explanation:

y = 3x -5

4x - 2(3x-5) = 4

4x - 6x + 10 = 4

-2x = -6

x = 3

y = 4

Answer:

285

Step-by-step explanation:

570/2=285

true or false means theres a 1/2 possibility you guess right thats why you divide by 2

The mean number of correct answers to 570 true or false questions will be 285.

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

For the true or false, the probability of getting correct is given as,

p = 1/2

There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,

E = 570 x (1/2)

E = 285

The mean number of correct answers will be 285.

More about the expected value link is given below.

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Answer:

48 outfits

Step-by-step explanation:

Using Fundamental Principal of counting

number of outfits that Juan can wear

=number of ties * number of pants * numberof pants

=4*3*4

=48 outfits

The number of different outfits can he wear if he chooses one Tie, one shirt, one pair of pants for each outfit is 48 outfits.

The arrangement of different things or numbers in a number of ways is called a combination.

A permutation is an orderly arrangement of things or numbers. Combinations are a way to choose items or numbers from a collection or group of items without worrying about the items' chronological order.

Given that Juan has four ties, three shirts, and four pairs of pants.

Using the Fundamental Principle of counting,

Number of outfits that Juan can wear

N =number of ties x number of pants x number of pants

N =4 x 3 x 4

N =48 outfits

Therefore, the number of different outfits can he wear if he chooses one Tie, one shirt, one pair of pants for each outfit is 48 outfits.

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Answer:

$3103.6

Step-by-step explanation:

Given data

Total sales= $26,480

Returns and Allowances=$1250

Commission = 7%

Let us find the amount in commission earned

=7/100*26,480

=0.07*26480

=$1853.6

Hence the gross earnings

=1853.6+1250

=$3103.6

Answer:

.33

Step-by-step explanation:

Can you type what it says I can't see it that well.

i cant really see the question

Answer:

663

Step-by-step explanation:

ratio of Malay = 5

ratio of Indian= 4

ratio of Chinese= 8

Total number of Indian + Chinese= 468

Total ratio= 5+4+8= 17

Let the total number of students= X

Ratio of India= 4/17 × X=

Ratio of Chinese= 8/17 × X=

Addition of ratio of both India and Chinese=

4X/17 + 8X/17= 468

(4X +8X)/17 = 468

12X/17= 468

X= 663

Hence, total number of students is 663

Answer: x = 110 degrees

Step-by-step explanation:

35 and its vertical angle inside the triangle both = 35 deg

43 and 32 add to 75 deg

The total degree measure inside a triangle is 180

180-75-35 = 70 deg

70 degrees is the supplementary angle of x

180-70 = x

x = 110 degrees

Answer:

53.1

Step-by-step explanation:

They're equal, so 8 = 31 and 13.7 = x

8/31 = 13.7/x

31(13.7) / 8 = 53.0875

Round your answer to nearest tenth to get 53.1

The rounded length of DE is 53.1.

What is similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary.

The both the triangles are similar, so the side length CB will be equal to FE and the side length AB will be equal to DE. Hence, the equation formed will be,

[tex]\frac{8}{31}=\frac{13.7}{DE}[/tex]

On solving this equation, we have DE=53.0875.

Therefore, the rounded length of DE is 53.1.

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Answer:

50 students

Step-by-step explanation:

20 is 40% of 50

because 50 x .40 = 20

Hope this helps!

Answer:

30

Step-by-step explanation:

40%/2=20%

20/2=10

100%-40%=60%

60%/3=20%

10x3=30

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:

V = (1/3) * π * r² * h

First, simplify the volume formula for a cone to make it easier to manipulate:

V = 1/3πr²h

Next, plug in the given values for the first cone:

V = 1/3π(2²)(8) = 32π/3

Then, divide the volume of the sink by the volume of the first cone:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

Now, calculate the volume of the second cone using the same formula:

V = 1/3π(4²)(8) = 128π/3

Finally, divide the volume of the sink by the volume of the second cone:

2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.

Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

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Answer:

5

Step-by-step explanation:

the mode is the number that appears most frequently on a data set.

Answer:

5

Step-by-step explanation:

Answer:

15x^5

Step-by-step explanation:

That's the answer I got im pretty sure it correct

Answer: 475 adults paid admission

Step-by-step explanation:

1.50c+4a=5050 (1.50 per child and 4 per adult)

1.50(2100)+4c=5050 (2100 children times 1.5 each)

3130+4a=5050

4a=1900

a=475

Answer:

The answer is F

Step-by-step explanation:

Answer:

1. Surface Area = 122                Volume = 84

2. Surface Area = 1632             Volume = 2880

3. Surface area = 168                Volume = 144

4. Volume = 1350[tex]\pi[/tex]

Step-by-step explanation:

1. This is a rectangular prism. To find the surface area it is the same thing. Find the area of all sides and add them together.  Because this is a rectangular prism most of the sides are equal so we will only need to find the area of three sides. To find the area of the right side, just do 4*3=12. That would be the same for the opposite side. Then to find the front side, do 7*4= 28. That would also be the same for the opposite side. Then to find the top side, do 7*3= 21. That is the same for the bottom side. Add them all together and you will get your answer. 28+28+21+21+12+12 = 122.

To find the volume of a rectangular prism the formula is V = l*w*h.

Plug in: V = 7*3*4 and then you will get 84.

2. This is a triangular prism. First find the area of the the triangular surface by multiplying the base x height and dividing by 2. (16*12)/2 = 96.  That is the same for the opposite side. Then find the area of the bottom rectangular surface. 12*30 = 360. Then find the area of the back rectangular surface. 16*30 = 480. Then find the area of the final base rectangle. 30*20 = 600. Add them together and you will get 1632. Basically, find the area of all sides and then add them together.

To find volume the formula is, V = (1/2)a*c*h

Fill that in: V = (1/2)16*12*30 and then you will get 2880.

3. This is a trapezoidal prism. To find the surface area you would find the area of all sides then add them together. To find the are of a trapezoid, the formula is: A = [tex]\frac{a+b}{2}[/tex]h

Fill that in: A = [tex]\frac{4+12}{2}[/tex](6) and then you will get 48.

That is the same for the opposite side. Then you need to find the area of the rectangular side of the trapezoidal prism. 3*4= 12. This is also the same as the opposite side. The bottom side is 12*3= 36. The top side is 3*4= 12.

Add all of them together and you get 168.

1/2(4+12)*6

To find volume, V =  [tex]\frac{1}{2}[/tex]h(b₁+b₂)h.

Fill in: V =  [tex]\frac{1}{2}[/tex]6(12+4)3 and then you will get 144.

4. This is a cylinder. The formula to find the volume is A=[tex]\pi[/tex]r²h. Because you are leaving the answer in terms of pi, do not multiply pi into the equation.

So you would do r²h. 15² = 225. 225*6= 1350. So your answer would be 1350[tex]\pi[/tex].

Answer:

maybe its b

Step-by-step explanation:

Answer:

Homer is correct. ( also your teacher is pretty cool to have them on an assignment)

Step-by-step explanation:

2 negatives cancel eachother out. Negative 4 times negative 10 equals 40.

Answer:

40.82

Step-by-step explanation:

3.14 times 13