Find the volume of this cylinder. Give your answer to one decimal place.

Answer:

36

Step-by-step explanation:

a = 2

b = 8

8 : a + 4 × b

= (8 : 2) + (4 × 8)

= 4 + 32

= 36

Given:

The given geometric series is [tex]2 + 3 + 4.5+ 6.75 + ...[/tex]

We need to determine the value of r and a₁

Value of a₁:

The term a₁ denotes the first term of the geometric series.

Hence, from the given series, the first term of the series is 2.

Thus, a₁ = 2.

Therefore, the value of a₁ is 2.

Value of r:

The term r denotes the common ratio between the terms in the geometric series.

The value of r is given by

[tex]r=\frac{3}{2}=1.5[/tex]

[tex]r=\frac{4.5}{3}=1.5[/tex]

[tex]r=\frac{6.75}{4.5}=1.5[/tex]

Thus, the value of r is 1.5

Answers:

1) 1.5 , 2

2) 0.5 , 8

explanation:

just did this :)

Answer:

R=3.897

Step-by-step explanation:

Given the magnitude measured by the Ritcher scale is given as;

R = 0.67log(0.37E) + 1.46  where E= is the energy (in kilowatt hours)

If E=1,770,000 then

R= 0.67log(0.37*1770000)

R=0.67log(654900)

R=0.67*5.81617

R=3.897

Final answer:

To determine the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy using the Richter scale formula, the calculated magnitude is approximately 5.51.

Explanation:

The Richter scale is used for measuring the magnitude of an earthquake. Given the Richter magnitude formula

R = 0.67log(0.37E) + 1.46

where E is the energy (in kilowatt hours) released by the earthquake, we can calculate the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy.

First, substitute the given energy value into the formula:

R = 0.67log(0.37*1770000) + 1.46.

Performing the calculation:

0.37 * 1,770,000 = 654,900

log(654,900) = 5.816

R = 0.67 * 5.816 + 1.46

R ≈ 5.51

Therefore, the earthquake's magnitude on the Richter scale is approximately 5.51.

Answer:

The cow's heart beats at 65 beats per minute

Step-by-step explanation:

To solve the per minute, take the total heartbeat number and divide it by the amount of minutes like so:

Pig: [tex]\frac{225}{3}[/tex]

Horse: [tex]\frac{180}{4}[/tex]

Cow: [tex]\frac{520}{8}[/tex]

Dog: [tex]\frac{540}{6}[/tex]

Now all that you have to do is simplify them to get the following values:

Pig: 75 beats per minute

Horse: 45 beats per minute

Cow: 65 beats per minute

Dog: 90 beats per minute

Answer:

B

Step-by-step explanation:

hope this helps

stay safe

brainliest is appreciated. :))))

Answer:

y= 4

Step-by-step explanation:

From factoring rules for the difference of squares, it is possible rewrite the equation [tex]16x^4-81[/tex] as (2x-3)(2x+3(4x²+9).

In math, the factoring or factorization is used to write an algebraic expression in factors.

The question gives a polynomial and asks your respective factorization. Note that [tex]16x^4-81[/tex] is a difference of squares. The factoring rules shows that the difference of squares: a² – b² = (a – b)(a + b).

If [tex]16x^4-81[/tex] is a difference of squares. You can rewrite this expression as:

[tex]16x^4-81=(4x^2-9)(4x^2+9)[/tex].

Again, you have another difference of squares: 4x²-9. You can rewrite this expression as: 4x²-9= (2x+3)(2x-3).

Hence, [tex]16x^4-81=(2x-3)(2x+3)(4x+9)[/tex].

Learn more about the factoring here:

brainly.com/question/11579257

Final answer:

The expression 16x^4 − 81 is a difference of squares and can be factored completely into (2x + 3)(2x − 3)(4x^2 + 9).

Explanation:

The student has asked to factor the expression 16x4 − 81 completely. This expression is a difference of squares, where 16x4 is the square of 4x2, and 81 is the square of 9. According to the difference of squares formula, a2 − b2 can be factored into (a + b)(a - b). Therefore, 16x4 − 81 can be factored as:

(4x2 + 9)(4x2 − 9)

Next, observe that 4x2 − 9 is another difference of squares, which can be further factored into (2x + 3)(2x − 3). Combining these factors, we get the completely factored expression:

(2x + 3)(2x − 3)(4x2 + 9)

Answer:

A=B

6x+18=x+93

5x=75

x=15

B=x+93

B=15+93

B=108

Step-by-step explanation:

Answer: I don't know

Step-by-step explanation: add all those probely

Answer:

john gets 274

Step-by-step explanation:

150 divided by 2 = 225

add 50 to johns amount and you get 275

Answer:

250$

Step-by-step explanation:

250-50=200

200+250=450

Answer:

x=3 one solution

Step-by-step explanation:

Let's solve your equation step-by-step.

−6x+19=x−2

Step 1: Subtract x from both sides.

−6x+19−x=x−2−x

−7x+19=−2

Step 2: Subtract 19 from both sides.

−7x+19−19=−2−19

−7x=−21

Step 3: Divide both sides by -7.

−7x /−7  =  −21 /−7

x=3

Answer:

x = 3

Step-by-step explanation:

Solve -6x + 19 = x-2

Solve for x:

19 - 6 x = x - 2

Subtract x from both sides:

19 + (-6 x - x) = (x - x) - 2

-6 x - x = -7 x:

-7 x + 19 = (x - x) - 2

x - x = 0:

19 - 7 x = -2

Subtract 19 from both sides:

(19 - 19) - 7 x = -19 - 2

19 - 19 = 0:

-7 x = -19 - 2

-19 - 2 = -21:

-7 x = -21

Divide both sides of -7 x = -21 by -7:

(-7 x)/(-7) = (-21)/(-7)

(-7)/(-7) = 1:

x = (-21)/(-7)

The gcd of -21 and -7 is -7, so (-21)/(-7) = (-7×3)/(-7×1) = (-7)/(-7)×3 = 3:

Answer: x = 3

Answer:

Step-by-step explanation:

so you wanna first add the hours

12

then add the number of trees painted in that number of hours

26

do 198 divided by 26

7.62( rounded to the nearest hundredth)

then take that product and multiply it by 12

91( rounded to the nearest one)

tha'ts your answer: 91 days

Answer:

-2 1/3

Step-by-step explanation:

First, subtract 7x from both sides to isolate the variable:

7x+7=4x

-7x    -7x

=7=-3x

divide both sides by -3 to find the value of x

Answer: Tank B, because it has the greatest volume

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I don't really know, but his fish needs more space to move around, like all fish tanks.

Answer:The answer is; It builds tension in the story:and it introduces the setting.

Step-by-step explanation:

The right answer is of option D.

Look at the attached picture⤴

Hope it will help u...

Answer:

false

Step-by-step explanation:

Answer:

1284 Eggs

Step-by-step explanation:

To work this out you would first have to know how many days there are in a year, which is 365. Then you would need to add the amount of days in January and February. January has 31 days and February would have 29, and so 29 plus 31 is 60. Then you would add 60 to 365, which is 425. Then you would add 3 to 425, which is 428. Then you would divide 428 by 4, which is 107. Then you would multiply 107 by 12, which is 1284.

1) Find out how many days there are in a year.

There are 365 days in a year

2) Add 31 to 29.

[tex]31+29=60[/tex]

3) Add 60 to 365.

[tex]365+60=425[/tex]

4) Add 3 to 425.

[tex]425+3=428[/tex]

5) Divide 428 by 4.

[tex]428/4=107[/tex]

6) Multiply 107 by 12.

[tex]107*12=1284[/tex]

Answer:

a) y= 8x+90 b) 154 pounds

Step-by-step explanation:

a) 90 will be the initial value (b) and 8 will be the slope (m)

this gives the linear function :

y = 8x + 90

b) to find his weight after 8 weeks plug in x=8

y= 64+90

y=154

154 pounds

Answer:

1/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

23) a) n - (n+1)

Remove the parenthesis by multiplying (n+1) by (-1)

n - (n+1) = n - n - 1 = -1

b) n(n+1) = n*n + n*1

              = n² + n

c) When we are adding the two numbers it is,

n² + n - 1. This will always be odd because n² + n will always be even and when we subtract 1 from that it will be odd

Example: Take n = 3

n² + n =  3*3 + 3 = 9 + 3 =12; So, n² + n -1 = 12- 1 =11 --> odd

When n = 7

n² + n = 49 + 7 = 56 ; So, n² + n -1 = 56-1 = 55 ---> odd

When n =8

n² + n = 64 + 8 = 72;  So, n² + n -1 = 72 -1 = 71

When n = 16

n² + n = 256 +16 = 272 ; So, n² + n - 1 = 272 - 1 = 271 ----->odd

Answer: just an extra one foot

Step-by-step explanation:

Given that the length of the piece of string = 25,000 miles

 Since the string is long enough to exactly circle the globe at the equator over oceans, deserts and jungles. We can say that the string could completely circle a sphere

Assuming that the earth is a perfect sphere.

The circumference of the circle = 25,000 mile.

But note that the circumference of a circle is directly proportional to the radius. If you double the radius, the circumference will also be doubled. Half the circumference, half the radius. Increase the circumference by 30%, radius will also be increased by 30% and so on.

In this question, the radius is being increased by 3 feet, so we need to know that as a fraction of the original radius.

Circumference = 2πr

Let's also convert miles to feet

25000 × 5280 = 2(3.143)r

r = 132 × 10^6/2π

r = 21008452.5 feet

3 feet - that's how far off the ground we're lifting the string out of 21008452.5 feet is close to one part in 25000 miles. The string was 132000000 feet long to start with, so we need just an extra 1 foot.

Answer:

h(g(n))=4n-9

Step-by-step explanation:

h(g(n))=4*g(n)-5 ( we replace n in the formule of h(n) by g(n).

h(g(n))=4(n-1)-5

h(g(n))=4n-4-5

h(g(n))=4n-9

Hope you understand it

The statements that follows the Expressions are:

The solution is the product of two factors.

The first factor is itself the sum of two terms.

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

We can describe this expression as the product between a 5 and the sum of two 9 and 1, that is, the second factor is a sum of two terms, this means option A is a true statement.

As a product, the solution of this expression is the solution of that product, however, we first have to sum both terms inside the parenthesis, like this

= (9 + 1)5

= 10(5)

= 50

So, the statements that follows the Expressions are:

The solution is the product of two factors.

The first factor is itself the sum of two terms.

Learn more about factors here:

https://brainly.com/question/24182713

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Answer: 9.3

Step-by-step explanation:

Find the number in the tenth place 2 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Answer:

11.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{-5}{4}+\frac{75}{40}+\frac{100}{100}=\frac{-5}{4}+\frac{75}{40}+1\\\\=\frac{-5*10}{4*10}+\frac{75}{40}+\frac{1*40}{1*40}\\\\=\frac{-50}{40}+\frac{75}{40}+\frac{40}{40}\\\\=\frac{-50+75+40}{40}\\\\=\frac{65}{40}\\\\=\frac{13}{8}\\\\=1.625[/tex]

Answer:

Step-by-step explanation:

Given two circles A and B

        Circumference of Circle A[tex]=2*21*\pi=42\pi=131.95m[/tex] meters

        Circumference of Circle B[tex]=2*28*\pi=56\pi=175.93m[/tex] meters

The larger the radius of a circle, the larger the circumference. We notice that the radius of circle B is larger so its circumference is also larger.

Answer:

Step-by-step explanation:

Since there's no diagram. Let us calculate using the values in the attached file to aid the comprehension of what is expected of you.

Answer:

44.657cm^3

Step-by-step explanation:

Please kindly check the attached file for more

Answer:

8π

Step-by-step explanation:

first the equation for a cone is [tex]\pi r^2\frac{h}{3}[/tex]

[tex]V=\pi *3^{2} *\frac{8}{3} \\ =\pi *9*\frac{8}{3} \\ =\frac{72}{3} \pi \\ =24\pi[/tex]

so since Abigail spilled 2/3 of the water then you do

[tex]24\pi * \frac{1}{3}\\ =8\pi[/tex]

so overall the volume of the remaning water is 8π.

The plumber able to cut the 5-meter long pipe into 50 sections, each measuring 10 centimeters.

To find the number of sections the plumber  able to cut from a 5-meter long pipe, to convert the length to centimeters.

That 1 meter is equal to 100 centimeters. So, to convert 5 meters to centimeters, multiply 5 by 100:

5 meters × 100 centimeters/meter = 500 centimeters

Now that the length of the pipe in centimeters (500 cm), divide it by the desired length of each section, which is 10 centimeters:

500 centimeters / 10 centimeters/section = 50 sections

To know more about centimeters here

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Answer:

32.76 ft

Step-by-step explanation:

step 1

Find the perimeter of the rectangular bulletin board

The perimeter of rectangle is given by

[tex]P=2(W+H)[/tex]

where

W is the width

H is the height

we have

[tex]W=7.25\ ft\\H=4.47\ ft[/tex]

substitute

[tex]P=2(7.25+4.47)=23.44\ ft[/tex]

step 2

Subtract the perimeter from the total feet of ribbon

so

[tex]56.20-23.44=32.76\ ft[/tex]