50. Mrs. Lopez made decorative candles in different
sizes for sale at her church. All of the candles are in
cylindrical jars. The size of the largest candle was bigger
than the smallest candle by a scale factor of two. If the
height and radius of the smallest candle are 5 cm and
1.7 cm, respectively, calculate the volume of the biggest
candle. Use 3.14 for T. Round to the nearest hundredth.

Answers

Answer 1

The volume of the biggest candle given the volume of the smallest candle is  90.75cm³.

What is the volume of the largest candle?

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder =πr²h

π = 3.14r = radius

Volume of the smallest candle = 3.14 x 5 x 1.7² = 45.37 cm³

Volume of the largest candle =  45.37 cm³ x 2 = 90.75cm³

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Related Questions

The scatterplot illustrates the relationship between high school and college GPAs for a sample of students.

A graph titled Relationship between high school and college G P A s has H S G P A on the x-axis and college G P A on the y-axis. Points are at (2, 4), (2.25, 2.9), (2.5, 2.8), (2.5, 2.8), (2.5, 3), (3, 3), (3.25, 3), (3.25, 3.1), (3.25, 3.2), (3.5, 2.9), (3.5, 3), (3.5, 3.1), (4, 3), (4, 3.1), (4, 3.5).

Which of the following is an accurate description of the scatterplot?

Students with higher high school GPAs have higher college GPAs.
Students with lower high school GPAs repeat their performance and get low college GPAs.
Because college is a fresh start, there is no relationship between high school and college GPAs.
Lower high school GPAs correlate to lower college GPAs, with one exception of a low high school GPA and high college GPA.

Answers

Answer: D

Step-by-step explanation:

The correct answer is (D): Lower high school GPAs correlate to lower college GPAs, with one exception to a low high school GPA and high college GPA.

What is GPA?

Grade point average, or GPA, is measured on a scale of 0 to 4. A grade of four is an A, while a grade of zero equals an F.

Given:

The scatter plot illustrates the relationship between high school and college GPAs for a sample of students.

The scatter plot is given in the attached image.

Highest college GPAs are  4, 3.5, 2 and so on.

And their respective high school GPAs are 2, 4, 3.25 and so on.

That means, students with higher high school GPAs have lower college GPAs.

Let students with lower high school GPAs repeat their performance and get low college GPAs.

But here a student has GPA 2 in high school and 4 GPA in college.

That gives us contradiction.

There is one exception, with college GPA as 4 and HS GPA as 2.

All other points show that a lower college GPA could result in lower HS GPA.

Therefore, the correct answer is option D.

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Give the following number
in Base 10.
E16 = [?]10
Enter the number that belongs in the green box.

Answers

Answer:

  14

Step-by-step explanation:

A hexadecimal (base 16) number can have any of 16 digits. Conventionally, digits 0–9 are used, along with letters A–F. The letters are assigned the values ...

  A = 10

  B = 11

  C = 12

  D = 13

  E = 14

  F = 15

Which solution set is graft on the number line

Answers

Answer:

x < 1

Step-by-step explanation:

an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then

x <  1 (thats a less then sign only) ....no equal sign in there

Answer:

x < 1

Step-by-step explanation:

Open circle:  < or >

Closed circle:  ≤ or ≥

Shading to the left: < or ≤

Shading to the right: > or ≥

Therefore, as there is an open circle and shading to the left:

x < 1

(x is smaller than 1)

Find the surface area of the composite figure.

Answers

Answer:

402.9092

Step-by-step explanation:

surface area of cylinder - top base = 301.5946

surface area of cone - base = 101.3146

add together 402.9092

Could the cost of one large plant be $5.50 and the cost of one medium plant be $2.25 ? Justify your answer

Answers

Answer:

yes.The medium plant cannot be the same price of a large price cause of the size difference

Hence the medium plant being nearly half the price of the large plant

You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?

Answers

Answer:

4 weeks

Step-by-step explanation:

Remaining money (per week) :

Net income - Expenses$400 - $380$20

No. of weeks to buy shoes :

Cost of shoes / Remaining money (per week)$70/$203.5 ≈ 4 weeks (nearest whole week)

Answer:

hope it will help you

Step-by-step explanation:

hope it will help you

one lap around a dirt track is 1 /3 of a mile. It takes Bryce 1/9 of an hour to ride one lap.

Answers

Answer:

3 miles/hour.

Step-by-step explanation:

If the question is what is Bryce's average speed over the lap it is:

Distance / time

1/3 / 1/9

= 1/3 * 9

= 9/3

= 3 miles/hour.

3 miles/hour hole this helps :)

PLEASE HELP!!

(look at picture!)

Answers

Answer:

a. 35, 34

b. 25, 18

Step-by-step explanation:

two less than 8 times a number is the same as the number plus 12

Answers

Answer:

The number is 2.

Step-by-step explanation:

You can write this as an algebriac equation, where the "number" is x:

8x - 2 = x + 12

Then, solve for x:

8x = x + 14
7x = 14

x = 2

approximately, how much air would be needed to fill a soccer ball with a radius of 15 centimeters ?

Answers

Answer:

about 2827cm^3

Step-by-step explanation:

you are looking for the area  

4*pi*r^2

4*pi*15^15

pi*4*225

pi*900

2827.43

it would be 2827.43 i did this on platoe

PLEASE HELP!!! i can’t find the answer

Answers

Answer:

the correct answer is 2nd hope this will help u i have find the value of x also hope it will help

Step-by-step explanation:

[tex] {4}^{x + 3} = 64 \\ {2}^{2(x + 3)} = {2}^{6} \\ 2{ }^{2x + 6} = 2 {}^{6 } \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]

The formula for compound interest is
A = P (1 + r/100)t
where A is the total amount of money, P is the amount invested, r is the interest rate per compounding period, and t is the total number of years. What would be the total amount of money after 4 years if $1,000 were invested at 2% compounded annually?

Answers

Answer:

ProvideD :

Time ( T ) = 4 years , Principal ( P ) = $ 1000 , Rate ( R ) = 2 % pa

To FinD :

Total amount of money ( A )

SolutioN :

All you need to do is plug the values in the provided formula and solve for A

[tex] \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} [/tex]

[tex] \longrightarrow \tt \: a = 1082.43216[/tex]

The total amount of money would be $ 1082.43216

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Julia is making a flag for a project. The design of one of the flags, composed of three triangles, is shown in the figure.
40 cm
9 cm
41 cm
18 cm
41 cm
9 cm
40 cm
What is the perimeter of the flag Julia made?
ОА.
180 centimeters
OB.
116 centimeters
O c.
280 centimeters
OD.
198 centimeters

Answers

the answer is C
explanation

Find the value of x
Area of triangle =5
(Type an integer or decimal rounded to the nearest hundredth as needed. Use a comma to desperate answers if needed.

Answers

Answer:

x= 1.74

Step-by-step explanation:

Area of triangle= ½ ×base ×height

We are given that the base is (x +4), the height is x and the area is 5.

5= ½(x +4)(x)

Multiply both sides by 2:

x(x +4)= 10

Expand:

x² +4x= 10

x² +4x -10= 0

Let's use the quadratic formula!

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]

[tex]x = \frac{ - 4± \sqrt{ {4}^{2} - 4(1)( - 10)} }{2(1)} [/tex]

[tex]x = \frac{ - 4± \sqrt{56} }{2} [/tex]

x= 1.74 or x= -5.74 (reject)

(nearest hundredth)

Which measure of variability is the most appropriate for this set of values? OA range OB. interquartile range OC. mean absolute deviation OD. absolute deviation O E. either interquartile range or mean absolute deviation​

Answers

The most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have data shown in the picture.

As we know, Quartiles or ranges are useful, but they are limited because they skip a lot of data in the group.

For a data set like the one in this question, where the items are close in difference, absolute deviation can help us gain a more representative notion of spread.

Thus, the most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.

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Draw a line of best fit on the graph below. Explain how you knew where to draw the line of best fit.
Where does your line of best fit cross the y-axis?

Answers

Answer:

The line should be a negative sloping line that looks something like this:

27) Harry made 4 hits in 9 times at-bat. If she keeps the same success level, how many hits should she make in 18 times at bat?

Answers

Answer:

8 hits

Step-by-step explanation:

The ratio is :

hits : times-at-bat = 4 : 9

Now, we have 18 times at bat.

Multiply both sides of the ratio with 2 :

4 x 2 hits : 9 x 2 times at bat8 hits : 18 times at bat

Harry should make 8 hits in 18 times at bat.

Pls help with this thx

Answers

1. 55
2. N/A - Sorry. I can’t see the numbers properly.
3. 180

Beth's fitness tracker shows that she logged 4,300 steps at work today. beth wants to get
more steps in, so she goes for a jog after work. the fitness tracker shows she averages 100
steps per minute while jogging. you can use a function to approximate the total number of
steps she will have logged today after she jogs for x minutes after work.

Answers

Answer:

[tex]4300 + 100x[/tex]

Step-by-step explanation:

The [tex]4300[/tex] represents the base amount of steps she took during work. Even if she jogs 0 minutes, this will not change.

The [tex]100x[/tex] represents how many steps she will take from jogging. The [tex]100[/tex] is how many steps she will take per minute, and the [tex]x[/tex] is the number of minutes she will jog.

Adding these together will give us our function [tex]4300 + 100x[/tex] to see how many steps she will log.

That is the answer

- Kan Academy Advance

one day she counts 21 seats and 30 wheels. the equation representing

Answers

The equation represents 21 seats and 30 wheels will be given as B.

u + 2b = 30

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 21 seats and 30 wheels.

u is the number of unicycles and b is the number of bicycles.

There are total 21 seats

⇒  u+b=21

unicycle has 1 wheel and bicycle has 2 and total there are 30 wheels

⇒ u+2b=30

Hence,the equation represents 21 seats and 30 wheels will be given as B.  u + 2b = 30

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Which set of ordered pairs represents the points on this graph?
A. {(-2, -3), (-1, 5), (1, 3), (2, 5), (3, -2)}
B. {(-3, -2), (-1, 4), (1, 3), (2, 5), (3, -2)}
C. {(-2, -3), (-1, 4), (3, 1), (2, 5), (-2, 3)}
D. {(-2, -3), (-1, 4), (1, 3), (2, 5), (3, -2)}

Answers

Answer:

option D

Explanation:

To know the x coordinates see the value on the x-axis.To know the y coordinates see the value on the y-axis.

Identify coordinates from the graph:

a) (3, -2)

b) (-2, -3)

c) (1, 3)

d) (2, 5)

e) (-1, 4)

All of these coordinates fall under option D

Answer:

D

Step-by-step explanation:

Let's find the coordinates of the plotted points (from left to right) :

Point 1 (x = -2, y = -3) ⇒ (-2, -3)Point 2 (x = -1, y = 4) ⇒ (-1, 4)Point 3 (x = 1, y = 3) ⇒ (1, 3)Point 4 (x = 2, y = 5) ⇒ (2, 5)Point 5 (x = 3, y = -2) ⇒ (3, -2)

The listed points are given in option D

What is 3-eighths times 4 and 3-sixths times 4?

You will be marked Brainliest if you answer this question correctly!
Please help ASAP

Answers

3/8•4= 1.5 one point five 3/6•4=2 two

Answer:

As a fraction it would be 4.5

Step-by-step explanation:

3/4 × 6 = 92 = 4 12 = 4.5

Evaluate the indefinite integral.

Answers

Answer:

[tex]\frac{1}{3} x^3 - x^2 + 4x[/tex]

Step-by-step explanation:

All this takes is the use of the power rule, which, for integrals, says that

∫[tex]x^n[/tex] = [tex]\frac{1}{n+1}x^{n+1}[/tex].

With this in mind, we can integrate:

∫[tex]x^2 - 2x + 4[/tex]

= [tex]\frac{1}{3} x^3 - x^2 + 4x[/tex].

We can also check our answer by differentiating our answer:

[tex]\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4[/tex]

so we are correct!

hope this helped!

Solve using substitution

Answers

Answer:

The answer should be "No Solution" as these lines never meet each other

slope of 4/5, a width of 30…what is the height..?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

Slope of the graph can be expressed as :

[tex]\qquad \sf  \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{4}{5} \times 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = {4}{} \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 24 \: units[/tex]

So, the value of x is 24 units

At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00.

The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $24 for skate rentals.

How many pairs of skates did the Moores rent?

The Moores rented pairs of skates.

Answers

Answer:

15 dollars and they got 2 more pairs than the cotters. hope this helps.

Plot the points on the coordinate plane and answer the questions. K(11, ....), L(...., 11), and M(40, ....) are on that line, too. What are the missing coordinates?​

Answers

Answer:

K(11,19), L(7,11), M(40,77).

Step-by-step explanation:

This is a substitution problem


Julianna has thirty two pieces of candy in a candy jar. Julianna only has two kinds of candy,
jolly rangers and twix. For every four twix bars, she has two pieces of jolly rangers. How many
pieces of each candy are in the candy jar?

Answers

a. The number of twix bars is 21

b. The number of jolly rangers is 11.

Julianna has thirty two pieces of candy and has four twix bars for every two jolly rangers, we need to find the ratio of candy bars.

What is the ratio of candy bars?

Let

x = number of twix bars and y = number of jolly rangers.

Since for every four twix bars, she has two pieces of jolly rangers, the ratio of candy bars is

x:y = 4:2 = 2:1

a. Number of twix bars

The number of twix bars is 21

The number of twix bars x = ratio of twix bars/total ratio × total number of candy bars

So, x = 2/(1 + 2) × 32

= 2/3 × 32

= 64/3

= 21.33

≅ 21

So, the number of twix bars is 21

b. Number of jolly rangers

The number of jolly rangers is 11.

The number of jolly rangers y = ratio of jolly rangers/total ratio × total number of candy bars

So, y = 1/(1 + 2) × 32

= 1/3 × 32

= 32/3

= 10.66

≅ 11

So, the number of jolly rangers is 11.

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The box-and-whisker plot below represents some data set. What is the value of the
second quartile?
H
50
100
150
200
Answer:
Submit Answer

Answers

The second quartile is the median of the data sets and have a value of 100.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The box-and-whisker plot provides a five number summary of data sets i.e. minimum, lower quartile, median, upper quartile and range.

The second quartile is the median of the data sets and have a value of 100.

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How to evaluate this question

Answers

The answer is 16

Refer image for working :-

Drop comments if any doubt arises.

Answer:

[tex] {2x}^{3} - 3yz[/tex]

x=-1; y=-2 and z=3

[tex]2 {( - 1)}^{3} - 3( - 2)(3)[/tex]

[tex] - 2 +6(3)[/tex]

[tex] - 2 +18[/tex]

(-)+(+)=(-)

[tex]-16[/tex]

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