The volume of a conical flask is V cubic centimeters. The height of the flask is the same as its radius. Which function can be used to find the radius of the flask given its volume, the table for f(x) or the graph of g(x)? Explain your answer. If needed, use the graphing tool to arrive at your conclusion.

The Volume Of A Conical Flask Is V Cubic Centimeters. The Height Of The Flask Is The Same As Its Radius.

Answers

Answer 1

Answer:

Table for [tex]f(x)[/tex].

Step-by-step explanation:

The table offers a greater accuracy in comparison with graph, since any measure in the latter is subject to a margin of error associated with limitations of human sight, whereas any value can be either used directly from table, or estimated by linear interpolation on the assumption that curve is smooth, guaranteeing lower margins of error.

Answer 2

Answer:

Use an equation to determine whether f(x) or g(x) is the correct model. Create an equation for the radius of the flask in terms of its volume.

Because the height is the same as the radius, write this formula for the volume of the flask:

V= [tex]\frac{1}{3}[/tex][tex]\pi r^{3}[/tex]

Rewrite the formula, solving for r:

[tex]\frac{3V}{\pi } =r^{3}[/tex]

[tex]\sqrt[3]{\frac{3V}{\pi } } =r[/tex]

Now, graph the function and try to identify the values that are in the table.

The graph of the function does match the table of values. So, the table for f(x) can be used to find the radius of the flask. Notice that the graph for g(x) doesn’t match the graph of the formula, so exclude it as the answer.

Step-by-step explanation:

This is the sample answer for edmentum/plato so you should change it a bit.


Related Questions

Se ha decidido repoblar con 150 000 árboles una zona asolada por un incencio. Se quieren plantar los árboles formando un cuadrado con el mismo número de árboles y la misma separación entre ellos. ¿Cuántos árboles se podrán plantar para formar el cuadrado más grande posible?

Answers

Responder :

Se plantarán 149769 árboles

Explicación paso a paso:

Dado que:

Número de árboles a plantar = 150.000

Los árboles deben disponerse para formar un cuadrado;

La cantidad de árboles que se pueden plantar para hacer el cuadrado más grande posible:

Área de un cuadrado = s²

Dónde; s = Longitud de cualquier lado; ya que todos los lados son iguales.

El mayor número de árboles que se pueden plantar es el cuadrado perfecto más alto hasta 150.000.

Esto se puede obtener tomando la raíz cuadrada de 150000

Cuadrado (150.000)

= 387,29833

El cuadrado del número entero da el valor cuadrado perfecto más alto antes de 150 000

Por lo tanto,

s = 387 =; 387

Cantidad total de árboles; s² = 387² = 149769

There are 26 boys and 28 girls from Stella’s class riding on the bus. Some students from a different class join them, so 2 additional boys and 2 additional girls board the bus.

Does the ratio of boys to girls remain the same? Explain your answer. As part of your explanation, give both the old and the new ratios, in lowest terms, of boys to girls on the bus.

Answers

Answer:

Yes

Step-by-step explanation:

Latoya borrowed $8000 at a rate of 9%, compounded quarterly. Assuming she makes no payments, how much will she owe after 5 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
sll
5
?

Answers

Answer:

wq

Step-by-step explanation:

Uhhh 5 I think hope it helps?

The regular price of a jacket is $48.00. What is the sale price of the jacket if it is marked 25% off

Answers

Answer:

$36 for the jacket

Angle ABC is right-angled at C. If AC = 5cm and BC = 12cm find the length of AB​

Answers

BC= 12cm

AC = 5cm

According to Pythagoras theorem ,

12^2 + 5^2 = AB^2

144+25 =169 ..

so AB^2 = 169

AB=√169 ..

Therefore, AB= 13cm ..

Hope it helps you ..

please mark me as brainliest

thank you

The ratio of adults to kids in a school is 3 : 7. If there is a total of 200 people, how many of them are students? *

Answers

Answer:

60 students 140 adults

Step-by-step explanation:

so 200 into 3 : 7

first we just do this: 200 ÷ (3+7) = 200 ÷ 10 = 20

so a 1 in the ratio is 20 people

and theres 3 : 7

so 3 * 20 = 60

7 * 20 = 140

60 kids to 140 adults

Answer:

140 are students

Step-by-step explanation:

let k = number of kids

set up proportion based on 7 out of 10 are kids

7/10 = k/200

cross-multiply: 10K = 1400

PLS HELP ME I WILL GIVE BRAINLIEST ASAP!! PLS HELP ME I WILL GIVE BRAINLIEST ASAP!!
PLSSSS GRAPH IT AND WRITE A SOLUTION!!

Answers

that’s the answer plot the points

Do you average weight of an orange is 4.9 ounces we bought five oranges and found that the average weight was 5.7 ounces what can you tell about our sample?

Answers

Then 4.9 is not the average weight of an orange.

A sector of a circle has an area of 16.75 square inches. The central angle is 120 degrees. Calculate the length of the radius.
please help :)

Answers

Answer:

17.14

Step-by-step explanation:

Area of sector= 120/360(πr^2)

16.75^2          = 120π/360 (r^2)

(π/3)16.75^2 =  π/3  r^2(π/3)

293.8 = r^2

r= √293.8

r= 17.14

I just did it like that. Just want to help u.

hi answers this question with it solve I will mark brainlist​

Answers

Answer:

9.c

10.a

11.c

12.a

13.b

14.b

15.b

1.a -4y+5x+8xy+6y-10xy-8x

we collect like terms so -4y+6y+5x-8x+8xy-10xy

2y-3x-2xy

b.-2x+3y+4xy-(-2x-3y+4xy)

-2x+3y+4xy+2x+3y-4xy

-2x+2x+3y+3y+4xy-4xy

3y+3y=6y

Answer:

hiii and have a nice day

hope u will not busy

hahaha

Pls help asap! Will give brainliest!

Answers

Answer:

the answer to this is B D.

Step-by-step explanation:

2cos^2A-cos2A-1=0
Help

Answers

Answer:

steps below

Step-by-step explanation:

Are you going to solve the value of A or just a proof the equation

cos 2A = cos² A - sin² A

2cos²A-cos2A-1 = 2cos²A - (cos² A - sin² A) - 1 = cos² A + sin² A - 1

2cos²A-cos2A-1 = 1 - 1 = 0

A: 90° or 270° or 450° .....

A line passes through the origin and has a slope of 2/3​

Answers

Answer:

y=2/3x

Step-by-step explanation:

the origin is the point (0,0) and the given slope is 2/3

the equation for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept

the slope is given, meanwhile, the y intercept is the point where the line passes through the y axis, and the x value is 0.

In this question, we actually have the y intercept given, which is (0,0)

we can put it all together then:

y=2/3x+0

or

y=2/3x

Hope this helps :)

What is the slope of the line that passes through the points (-2,-3), and (5, 4)?
0-1
03
01
-3

NOT MULTIPLE CHOICE

Answers

Answer:

1

Step-by-step explanation:

if we say (-2,-3) is point 1 and (5,4) is point 2,

then the equation y2-y1/x2-x1 becomes 4-(-3)/5-(-2)

which is 7/7 or 1

sin 60° x tan 45° what is that is for a homework

Answers

Answer:

75 degrees

Step-by-step explanation:

60 = 45= 75 = 180

Because every triangle has 180 degrees in it

i need this fast guys. and please show step by step process

Answers

Answer:

x°=48°

Step-by-step explanation:

angle Y=x°

angle Z= angle y, because equal side of the angles are equal.

so, angle X +angleY+ angle Z=180° ( angle sum property of triangles)

therefore 84°+x°+x°=180°

2x°=180° -84°

2x°=96°

x°=48°

Helppppp pleaseeeeee

Answers

Answer:

6 ft

Step-by-step explanation:

6^3 = 216

Jerry started doing sit-ups every day. The first day he did 16 sit-ups. Every day after that he did 4 more sit- ups than he had done the previous day. Today Jerry did 36 sit-ups. Enter an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day.


help me out there are three blanks ​

Answers

Answer:

4d + 16 = 36

or 16 + 4n = 36

it depends on what type of question you have. the second one is best to use, but you can pick.

00:00

Select all the numbers that are irrational.

6.7234724...

315

8

-0.25

✓7

17

36

Answers

Answer:

6.7234724... ; ✓7

Step-by-step explanation:

In the most simplest of terms, we can explain irrational numbers as numbers which cannot be expressed as a ratio of two integers usually because they cannot give an exact value when evaluated.

Using the values given :

6.7234724... - - >This is an irrational number because the '...' depicts that the values are unending and as such an exact expression in the form of a ratio (p/q) cannot be determined.

315, 26, 17, 8 - - - > Is a rational number, it could be express in ratio form as : 315/1. 315 is an integer and all integers are rational.

-0.25 - - > it could be expressed as - 1 /4. Hence it is a rational number.

✓7 - irrational as the simplification gives : 2.6457513...

a point that is on both graphs will be a
______________

A. Solution for both equations
B. Solution for one equation
C. Solution for neither equation​

Answers

Answer:

A i think

Step-by-step explanation:

hope this helps!!

Simplify

1/2 + (3/8 - 1/8)^2

Answers

9/16

Decimal form - 0.5625

You welcome :)

A man gives 1/4 property to his son, 1/3 of the remainder to his daughter and the rest part to hos wife, what portion did his wife get?

Answers

Answer:

5/12 goes to wife I don't really know how to explain it

9. The Brightline train travels 204 miles in 3 hours, moving at a constant
speed. How long will it take the Brightline train to travel 544 miles at this
speed?
A. 68 hours
B. 5.5 hours
C. 6.5 hours
D. 8 hours
pls answer

Answers

The answer is D
3/204= 0.01470588
I know that is how much of an hour it will take to travel an hour so multiply that by the miles
544* 0.01470588= 8
8 Hours

i'm stuck on this one :(

Answers

Answer:

they are both correct, all sides are equal to eachother yknow?

Step-by-step explanation:

Both are correct:) any side are equal to each other

Round 5.479 to the nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

...The answer is 5.5!

Solve the following for the variable x.
3x - 16 = 38

Answers

Answer: x= 18

Step-by-step explanation:

3x - 16 = 38

38 + 16 = 54

3x/3 = 54/3

X= 18

Step-by-step explanation:

[tex] \tt{3x - 16 = 38}[/tex]

We want to remove the 16 first. So , Since the original equation is - 16 , we are going to use the oppsite operation and add 16 to both sides.

⟶ [tex] \tt{3x - 16 + 16 = 38 + 16}[/tex]

Simplify ! - 16 + 16 = 0 on the left. 38 + 16 = 54 on the right.

⟶ [tex] \tt{3x = 54}[/tex]

Now , we need to think how to remove the coefficient 3. Since the opposite of multiplication is division , we are going to divide both sides by 3.

⟶ [tex] \tt{ \frac{3x}{3} = \frac{54}{3}} [/tex]

Simplify ! 3 / 3 = 1 on the left and 54/3 = 18 on the right . So, our answer is 18.

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = 18}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

point q is located at (18, 5). The x-coordinate of point r id half as much as the x-coordinate of point Q The y-coordinate of point r is 3 more than the y-coordinate of point q

Answers

Answer:

R (27, 8)

Step-by-step explanation:

The coordinate plane is a two-dimensional plane consisting of the y axis (vertical line) and x-axis (horizontal line). The origin is known as the zero point (reference point) is the intersection of the x axis and y axis.

A point on the coordinate plane is represented by (x, y) where x is the x coordinate and y the y coordinate.

Given point Q = (18, 5), the x coordinate is 18 and the y coordinate is 5.

Let the location of point R = (a, b)

a = x-coordinate of point Q + 1/2 of x-coordinate of point Q = 18 + (1/2)*18 = 27

b = y-coordinate of point Q + 3 = 5 + 3 = 8

Therefore R = (27, 8)

) Which ratios have a unit rate greater than 1? Choose ALL that apply. 9 5 miles : 6 hour 3 (7) 7 miles : hour 4 1 2 miles: 3 hours 8 2 NI 9 1 3) 4 miles : 3- hours 3 1 3 mile : 2- hours 3 8 } mile : 2 miles : 3 hours 5​

Answers

I got this right, look....

Evidence:

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The ratios that have a unit rate greater than 1 are:

9/8 miles : 5/6 hours

4 miles : 3(1/3) hours

7 miles : 3/4 hours

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

9/8 miles : 5/6 hours

4 miles : 3(1/3) hours

7 miles : 3/4 hours

The unit rate of each given ratio.

9/8 miles = 5/6 hours

Multiply 6/5 on both sides.

6/5 x 9/8 miles = 1 hour

54/40 miles = 1 hour

27/20 miles = 1 hour

1.35 miles = 1 hour

4 miles = 3(1/3) hours

4 miles = 10/3 hours

Multiply 3/10 on both sides.

3/10 x 4 miles = 1 hour

6/5 miles = 1 hour

1.2 miles - 1 hour

7 miles = 3/4 hours

Multiply 4/3 on both sides.

4/3 x 7 miles = 1 hour

28/3 miles = 1 hour

9.33 miles = 1 hour

We see that,

All of them have unit rates greater than 1.

Thus,

The ratios that have a unit rate greater than 1 are:

9/8 miles : 5/6 hours

4 miles : 3(1/3) hours

7 miles : 3/4 hours

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ5

The complete question is:

Which ratios have a unit rate greater than 1?

Choose all that apply.

9/8 miles : 5/6 hours

4 miles : 3(1/3) hours

7 miles : 3/4 hours

A farmer wants to make a fenced square pen. He has a total of 100 meters of fencing. He wants to determine the possibilities for the area of the pen. Let A represent the area of the pen, in square meters.

Answers

Answer:

I put B and A= 25

I got it on another website but I'm not entirely sure.

The square is asymmetrical quadrilateral, which implies it has 4 equal sides and angles. This can also be described as a rectangle having two neighboring sides that are both the same length.

It ensures that the elements are perpendicular, either at right angles to one another.

The length of the square pen is [tex]\sqrt{A}[/tex], and the perimeter should be no more than 100  then the perimeter of a square is 4a the over is [tex]a^2[/tex]  So, the equation :

[tex]\to 4\sqrt{A}=100\\\\ \to \sqrt{A}=\frac{100}{4}\\\\\to \sqrt{A}=25[/tex]

Therefore, the final answer is "25".

Learn more:

brainly.com/question/21148176

In how many months should Jake plan on having his
new site set up? Do not round. Input your answer.

Answers

Answer:

4.8 months

Step-by-step explanation:

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