A jar made of 1/4 inch thick glass has an inside radius of 4.7 inches and total height of 13.3 inches (including the bottom thickness of glass). What is
the volume of the glass shell of the jar (in cubic inches)?

A Jar Made Of 1/4 Inch Thick Glass Has An Inside Radius Of 4.7 Inches And Total Height Of 13.3 Inches

Answers

Answer 1

The volume of the cylindrical jar, considering it's radius and height, is of 923 in³.

What is the volume of a cylinder?

The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex].

In which problem, we have that r = 4.7 in, h = 13.3 in, hence the volume in cubic inches is given by:

[tex]V = \pi \times 4.7^2 \times 13.3 = 923[/tex]

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Related Questions

Point S is the midpoint of RT the coordinates of point R and point T are listed below R(-11,-12) T(-7,-4) what are the coordinates of point S

Answers

Answer:

S (- 9, - 8 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here the endpoints are R (- 11, - 12 ) and T (- 7, - 4 ) , then

midpoint = ( [tex]\frac{-11-7}{2}[/tex] , [tex]\frac{-12-4}{2}[/tex] ) = ( [tex]\frac{-18}{2}[/tex] , [tex]\frac{-16}{2}[/tex] ) = (- 9, - 8 )

The battery life of a fully charged cell phone is normally distributed, with a mean of 14 hours and a standard deviation of 2 hours. What is the probability that a randomly selected cell phone will have a battery life of at least 8 hours

Answers

Answer:

.0013

Step-by-step explanation:

8 hours is 3 standard deviations BELOW the mean   z-score = -3

  from z scor table , tis corresponds to .0013

A spinner with a yellow, blue, red, and green section is shown. The arrow is pointing at the yellow section. The fair spinner shown is spun 2 times. The set of possible outcomes are: S = {RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY} The number of yellows in the outcome is summarized in the table on the right. A 2-column table has 3 rows. The first column is labeled Yellow with entries 0, 1, 2. The second column is labeled Frequency with entries 9, 6, 1. Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins? 0.0625 0.5625 0.375 1

Answers

The probability of the spinner landing only once on yellow in two spins is P = 0.375

How to get the probability?

All the possible outcomes have the same probability, so, the probability that in two spins the spinner land only once in yellow is given by the quotient between the number of outcomes that have only one yellow and the total number of outcomes.

All the outcomes are:

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

16 in total.

The ones where the spinner lands only once on yellow are:

{RY, BY, YB, YG, GY, YR}

6 outcomes.

So the probability is:

P = 6/16 = 0.375

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Answer:C

Step-by-step explanation:

PLEASE HELP ME OUT
8.)
Using special right triangles, what will be the y-coordinate of the point below?
a.)
5√3
b.)
5
√3
30°
10 units
(0,0)
c.)
d.)

Answers

Step-by-step explanation:

the answer is b 5 according to the graph


19-29 find the derivative of the function using the definition of derivative. state the domain of the function and the domain of its derivative.
19. [tex]f(x)=3 x-8[/tex]

Answers

Answer:

The derivative of that function is 3x.

The domain of f(x) = x∈ℝ

The domain of f(x) is also x∈ℝ

Step-by-step explanation:

Watch help video
ruby was out at a restaurant for dinner when the bill came. her dinner came to $27.
after adding in a tip, before tax, she paid $34.29. find the percent tip.

Answers

Answer:

I think it's 21.26%

Step-by-step explanation:

tip: 34.29-27=7.29$

the percent tip: (7.29×100)/34.29=21.26 (approximately)

P(Head, Diamond AND Head, Heart) = ?

Answers

The probability of drawing a head card of diamonds and then a head card of hearts is:

P = 0.003

How to find the probability?

Here we assume that we have a deck of 52 cards, and we want to find:

P(Head, Diamond AND Head, Heart)

This is the probability of drawing a head of diamonds and then a head of hearts.

Remember that for each suit has 3 head cards, J, Q, and K.

Then for the first card, the probability of getting a head of diamonds is equal to the quotient between the number of cards with these properties (3) and the total number of cards (52).

P = 3/52

Then we need to draw a head of hearts, the probability is computed in the same way, but before we drew a card, so now the total number of cards is 51, so we get:

Q = 3/51

Then the joint probability is:

p = (3/52)*(3/51) = 0.003

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I need help with this pls!!

Answers

Answer:

Second choice

Step-by-step explanation:

This is a circle with center at   0,0

 radius = sqrt 100 = 10

HELP QUICK ILL GIVE BRAINLEST

Answers

Answer:

C) 15, 20, 25

Step-by-step explanation:

If you plug this in pythagorean theorem, it works. The others don't.

5 The diagram shows three identical shapes. į of
shape A is shaded and of shape C is shaded.
What fraction of shape B is shaded? ......

Answers

Answer:

7/24

Step-by-step explanation:

The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.

Unshaded area in A: 1 - 2/3 = 1/3

Unshaded area in C: 1 - 5/8 = 3/8

Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24

Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24

A triangle has sides with lengths of 55 feet, 65 feet, and 81 feet. Is it a right triangle?
yes
no

Answers

Yes it is I believe if not then sorry

Find the measures of the interior angles of the triangle.

I really need help with this, it is due 10 pm tonight, if you can help thanks so much :)

Answers

Answer:

∠ A = 140° , ∠ B = 30° , ∠ C = 10°

Step-by-step explanation:

the sum of the 3 interior angles = 180°

sum the given angles and equate to 180

x - 5 + 2x + 140 = 180

3x + 135 = 180 ( subtract 135 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

then

∠ A = 140°

∠ B = 2x = 2 × 15 = 30°

∠ C = x - 5 = 15 - 5 = 10°

Answer:

Angle A = 140°Angle B = 30°Angle C = 10°

Step-by-step explanation:

Find the measures of the interior angles of the triangle.

The sum of the interior angles of a triangle is 180°

180 = 140 + 2x + x - 5

40 + 5 = 3x

45 = 3x

x = 45 : 3

x = 15°

-----------------------

check

180 = 140 + 2 * 15 + 15 - 5

180 = 180

the answer is good

---------------------------

Find the angles

140° = angle A

2x = 15 * 2

2x = 30° (angle B)

x - 5 = 15 - 5

x = 10° (  angle C)

-----------------------

check

140 + 30 + 10 = 180°

the answer is good

The government conducted a study and collected the given data. use the
data to answer the following questions.
speed (mph) 45 55 65 75
fuel (mpg) 43 45 38 32
find the quadratic regression model that represents the relationship
between speed and fuel. round your answer to two decimal places

Answers

The quadratic regression equation is y = -0.02x^2 + 2x - 6

How to determine the quadratic regression?

The table of values is given as:

speed (mph) 45 55 65 75

fuel (mpg) 43 45 38 32

Next, we determine the regression equation using a graphing calculator (see attachment)

From the graphing calculator, we have:

a = -0.02, b = 2 and c = -6

A quadratic regression is represented as:

y = ax^2 +bx + c

So, we have:

y = -0.02x^2 + 2x - 6

Hence, the quadratic regression equation is y = -0.02x^2 + 2x - 6

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1/12
Is this good?please help me I’m dying

Answers

Answer:

hey its fine but just add one more line in the between somewhere because it should be total 12 sectors and you have only 11.

Step-by-step explanation:

check the pic for reference

Answer:

I think it should be good =D

Step-by-step explanation:

Factor
please help :)

Answers

Answer: Heyaa! :)

Your Answer Is.. (3w+7)² Or is 1 depending on if u want the GCF (GFC means to.. Find the prime factors of each term in order to find the greatest common factor (GCF).

Step-by-step explanation:

Factor using the perfect square rule.

Step-by-step explanation:

9w²+42w+49

since this is in (a-b)² form

3²w²+2*3w*7+7²

(3w+7)²

What's for b). Help me​

Answers

Answer:

Step-by-step explanation:

Remark

First take a look at A. It is a pretty good idea always to write the formula you are using before you begin a solution and go step by step from the formula. Also write your givens. I know it sounds like a lot of work. It really isn't. You are creating a habit.

Givens

n = 8

Sn = ?

d = -6

a = 90

Formula

S8 = a + (n - 1)*d

Solution

s8 = 90 + (8-1)*-6

s8 = 90 + 7 * -6

S8 = 80 - 42

S8 = 38

Part B

Here's where the formula is your friend. Let's suppose it is. Then solve for n. If we get an integer for the term number, then all is well. If we don't, and we get some kind of fraction, then 5 is not a member of the sequence.

Givens

Sn = 5

n = ?

d = -6

Formula

Sn = a + (n - 1)*d

Solution

5 = 90 + (n - 1)*-6                    Subtract 90 from sides

5-90 =90-90 +(n - 1)*-6          Combine    

-85 = (n -1)*-6                          Divide by - 6

-85/-6 = (n - 1)-6/-6

14 1/6 = n - 1                            Add 1 to both sides

14 1/6 +1 = n - 1 + 1                  Combine

15 1/6 = n

But a fraction is not permitted. So 5 is not a member of the sequence

–51 ≤ x + 38 I need help please finals are tomorrow....

Answers

Answer:

x ≥ - 89

Step-by-step explanation:

−51 ≤ x + 38

Step 1: Flip the equation.

⇒ x + 38 ≥ - 51

Step 2: Subtract 38 from both sides.

⇒ x + 38 - 38 ≥ - 51 - 38x ≥ - 89 ====> Answer
x >- 89 is the answer to your question but under the greater than sign, put a line underneath it :))

What is the equivalent expression to (-18)-64n? A. -2(9-32n) B. 2(9-32n) C. -2(9+32n) D. 2(9+32n)

Answers

Answer:

C. -2(9 + 32n)

Step-by-step explanation:

-2(9 + 32n)

= -2*9 - 2*32n

= (-18) - 64n.

8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.
9. Between what two consecutive integers must the value of log, (500) lie? Justify your answer.

Can someone help me with these questions? I don’t understand what the question is asking or how to solve. Only 8 and 9

Answers

The two consecutive integers that the value of log₄7342 lie between are 6 and 7

The two consecutive integers that the value of log₅(1/500) lie between are -4 and -3

What are consecutive integers?

Consecutive integers are whole numbers that follow each other without gaps. For example, 1 and 2; 6 and 7; 5 and 6; 18 and 19 etc.

From the question, we are to determine between what two consecutive integers must the value of log₄7342 lie  

The value of log₄7342 = 6.42

On the number line, 6.42 is between 6 and 7.

Hence, the two consecutive integers that the value of log₄7342 lie between are 6 and 7

For log₅(1/500)

The value of log₅(1/500) = -3.861

On the number line, -3.861 is between -4 and -3

Hence, the two consecutive integers that the value of log₅(1/500) lie between are -4 and -3

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Find the measure of all sides. Round to the nearest tenth.

Answers

Answer:

the value of x=9 and AB(h)=9.396

can somene answer this ​

Answers

Answer:

Use the pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute

[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]

Subtract 121 from both sides to isolate B

[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]

Take the square root of both sides to isolate b

[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]

helppppop this is 7th grade math

Answers

b and d are equivalent

the answer is B, D and F. I hope this was helpful

SOMEONE HELP ME PLEASEEE

Answers

Answer:

2

Step-by-step explanation:

First, you have to find the change in the sides you know the numbers of. 21/3 is 7, so it's being increased/decreased by 7 units. Now, just divide 14 by 7 to get your answer (2).

Hope this helps!

I am a bit confused on how to solve it so please explain ​

Answers

Answer:

Step-by-step explanation:

You could do it either way, but I have attached an image with one way to do it.

Then, using the exterior angle theorem, you can do:

(180-4x) + 100 = 3x

280 - 4x = 3x

280 = 7x

x = 40

From there, don't forget to plug in the numbers if you need to do so :)

There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.

Answers

The two co-captians can be chosen in 21 different ways.

How many ways are there to choose the co-captains?

If the two co-capitans are equivalent, then we need to find combinations.

So we want to find how many combinations of 2 elements we can make out of a set of 7 elements.

This is given by:

[tex]C(7, 2) = \frac{7!}{(7 - 2)!*2!} = \frac{7*6}{2} = 21[/tex]

So the two co-captians can be chosen in 21 different ways.

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What does each line on the protractor stand for?
one-half of a degree
ten degrees
one degree
five degrees

Answers

Answer: I'm a fourth grader Here's my answer One degree

I hope This helps and yes It will make sense because Each on line is one degree and I got A test And it was right Any questions just type In the comments

Can somebody help me on this

Answers

Answer:

7 + 7 = 14

you have 7 apples and add 7 more thats 14

Step-by-step explanation:


If f(x) = x² — 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
4
-2
2
04

Answers

Answer:

-2

Step-by-step explanation:

Given that;

f(x) = x² -2x

and g(x) = 6x + 4

(f + g)(x) = x²-2x+6x+4

:- x² +4x + 4 = 0

x² +2x +2x + 4 = 0

x(x + 2)+2(x + 2) = 0

(x + 2)(x + 2) = 0

:- x = -2

IF a universal set U = {x:x belongs to N , x less or equal to 10} , A ={y:y = 2n , n belongs to N , n less than 5} and B ={z:z = 3n , n belongs to N , n less than 4}

Answers

Answer:

your answer is N = {xxx: =9n


application factorise 5x²-20​

Answers

5x²-20

5(x²-4)

hope it helps...!!!

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