A three-dimensional figure has a volume of 314 cubic centimeters rounded to the nearest cubic centimeter. Select whether each shape below, with dimensions given in centimeters (cm), matches this three-dimensional figure.


A sphere with a radius of 4.217 cm (true or false)

A sphere with a diameter of 4.217 cm (true or false)

A cone with a radius of 10 cm and a height of 3 cm(true or false)

A cylinder with a radius of 1 cm and a height of 10 cm(true or false)

A cylinder with a radius of 4.47 cm and a height of 5 cm(true or false)

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

Answer:

#3 is b

#4 is also b

Step-by-step explanation:

Answer:

i was taught this but i dont remember so I dont know if I can help sorry bud

Answer:

linear

Step-by-step explanation:

you can tell its linear bc its in a straight line

hope this helps <3

Answer:

b

Step-by-step explanation:

Answer:

1st one is a function, 2nd is a funtion, 3rd is a function, 4th is not a function, 5th is not a function, 6 is a function

Step-by-step explanation:

Hope it helps :) You can see if a graph is a function by performing the vertical line test.

Answer:

x = 33

Step-by-step explanation:

cross-multiply:

x-9 = 2(12)

x-9 = 24

x = 33

Answer:

The answer is 33.

Step-by-step explanation:

1) Multiply both sides by 2.

[tex]x - 9 = 12 \times 2[/tex]

2) Simplify 12 × 2 to 24.

[tex]x - 9 = 24[/tex]

3) Add 9 to both sides.

[tex]x = 24 + 9[/tex]

4) Simplify 24 + 9 to 33.

[tex]x = 33[/tex]

Hence, the answer is 33.

Answer: A =a2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

i think

It is the cubicle shape

Therefore, 6l² is the formula to find surface area of cube

Area of cube = 6(10)²

Therefore, 6*100

Therefore, 600

Area of cube =600ft²

Right I needed help on this

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) point - slope form of a line.

y = mx + b slope- intercept form of a line.

~~~~~~~~~~~~~~~~~

( - 2, - 7 )

( 0, - 4 )

m = [tex]\frac{- 4 - (-7)}{0 - (- 2)}[/tex] = [tex]\frac{3}{2}[/tex]

y - ( - 4 ) = [tex]\frac{3}{2}[/tex] ( x - 0 )

y + 4 = [tex]\frac{3}{2}[/tex] x

y = [tex]\frac{3}{2}[/tex] x - 4 slope- intercept form

3x - 2y = 8 standard form

Answer:

33lbs

Step-by-step explanation:

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

Answer:

The circumference of the tires is of 94.25 inches.

Step-by-step explanation:

Circumference of a circle:

The circumference of a circle, with radius measuring r, is given by:

[tex]C = 2\pi r[/tex]

In which the radius is half the diameter.

In this question:

Diameter of 30 inches, so the radius is 30/2 = 15 inches.

The circumference is:

[tex]C = 2\pi (15) = 30\pi = 94.25[/tex]

The circumference of the tires is of 94.25 inches.

Answer:

The slope is -1

Step-by-step explanation:

The slope is always the number in front of the x.

Answer:

C(x) is the total cost, x is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.

Step-by-step explanation:

Because I'm always right.

Answer:

linear

Step-by-step explanation:

Answer: its a trinomial

Step-by-step explanation:

Answer:

C lul

Step-by-step explanation:

https://brainly.com/question/22583943

(The majority of the members in each club are between 15 and 17 years old.)

I think it is 6 because 10 is half of 20 so 6 is half of 12

Sam should wear green shirt for 6 days in next 12 days.

Fraction is a number that represent part of a whole quantity. It has two parts, numerator and denominator, the number above the horizontal line is numerator, and number under the the line is denominator.

Given,

Sam wore green shirt on 10 of the last 20 days

Fraction of days the wearing green shirt to total days = 10/20 = 1/2

Number of days of wearing green shirt in next 12 days

= 12 × 1/2

= 6 days

Hence, in next 12 days, Sam should wear green shirt for 6 days.

Learn more about ratio here:

https://brainly.com/question/10354322

#SPJ6

230 Just add and divide

Answer:

Value of x = -7

Step-by-step explanation:

Given:

First angle = 83°

Second angle = 24°

Third angle = (38 - 5x)°

Find:

Value of x

Computation:

We know that sum of all interior angle in triangle is 180°

So,

83 + 24 + 38 - 5x = 180

145 - 5x = 180

-5x = 35

x =  -7

Value of x = -7

Answer:

900 feet per minute

Step by step solution:

I did 60÷4 then it is 15 so 600*15 is 9000

Hope i am right...

Answer:

A grocery store is interested in how much money, on average, their customers spend each visit in the produce department. Using their store records, they draw a sample of 1,000 visits ...

Yes , it is statistical. More than one response is possible .

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, and presentation of large amounts of data. It involves the use of data to make decisions and predictions based on probability and uncertainty. Statistics is used in a wide range of fields, from medicine and social sciences to business and engineering.

This question is asking for a statistical response because it is seeking information about the ways in which shoppers in a town pay for their groceries. The answer can vary from person to person, so there are multiple possible responses, making it a statistical question.

Therefore, option C is the correct answer.

Learn more about the statistical data here:

https://brainly.com/question/11161989.

#SPJ2

Answer:

1) 4.5 x 10^3 =4,500

2)5.78 x 10^-2

3) 5.7 x 10^1 = 57

4) 6.256 x 10^-3 = 0.006256

5) 7.3 x 10^2 = 730

6) 4.2 x 10^-5 = 0.000042

7) 7x10^-3 = 0.007

8) 2.563 x 10^1

9) 3.0025 x 10^2 = 300.25

10) 1.456 x 10^-1

Answer:

46655

Step-by-step explanation:

[tex]75250 \cdot \frac{62}{100} = 46655[/tex]