each side of the base of a right octagonal prism is 7 in. long. the altitude of the prism measures 12 in. find the lateral area.

Answers

Answer 1

The lateral area of the right octagonal prism is 672 square inches

How to determine the lateral area

The formula for lateral area of a right octagonal prism is expressed as;

Lateral area = 8ah

Where;

a is the side length = 7 Inchesh is the height of the prism = 12 Inches

Substitute the values into the formula

Lateral area = 8 × 7 × 12

Multiply through

Lateral area = 672 square inches

Thus, the lateral area of the right octagonal prism is 672 square inches

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Related Questions

the composer beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano). (a) how many ways are there to play first a beethoven piano concerto and then a beethoven symphony?

Answers

Using Permutations, we can calculate, there will be total of 45 ways to play first a beethoven piano concerto and then a beethoven symphony.

What is permutation?

When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Given,

symphonies = 9

piano concertos = 5

So, the ways to play first a beethoven piano concerto and then a beethoven symphony = ⁹P₁ × ⁵P₁

= 45ways

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the degree of correlation among independent variables in a regression model is called . a. multicollinearity b. the coefficient of determination c. interaction d. the sum of squared errors (sse)

Answers

Multicollinearity refers to the degree of correlation among independent variables in a regression model.

What is Multicollinearity?

In a multiple regression model, one predictor variable can be predicted linearly from the others using a high degree of accuracy when there is a phenomenon known as multicollinearity (also known as collinearity). In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably. Multicollinearity only impacts calculations pertaining to specific predictors; it has no impact on the predictive capability or reliability of the model as a whole, at least within the sample data set. In other words, a multivariate regression model with collinear predictors can show how well the complete set of predictors predicts the outcome variable, but it could not provide accurate information about any particular predictor or which predictors are redundant in relation to others.

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ZA and ZB are vertical angles. If mA = (5x + 1)° and m/B = (4x + 3)°,
then find the value of x.

Answers

Answer:

x=2

Step-by-step explanation:

Vertical angles are equal.

5x+1=4x+3

   -1        -1

5x=4x+2

-4x -4x

1x=2

x=2

The value of x is 2.

5(2)=4(2)+2

10=8+2

10=10

Hope this helps.

A = b x h, donde la b = (20 - 2x) y h = (16 +10x)

•Si x = 3 metros, ¿cuál es el área del terreno?


P = 2 (b + h), donde la

b = (20 - 2x) y h = (16 +10x)

•Si x = 2 metros, ¿cuál es el perímetro del terreno?

Answers

El área del terreno es igual a 406 metros cuadrados.

El perímetro del terreno es igual a 104 metros.

¿Cuál es el área y el perímetro de un terreno?

En esta pregunta tenemos conocimiento de las ecuaciones asociadas a las longitudes de la base y la altura del terreno, cuya forma es rectangular. Inicialmente, determinamos el área del terreno:

A = b · h

A = (20 - 2 · x) · (16 + 10 · x)

A = (20 - 2 · 3) · (16 + 10 · 3)

A = (20 - 6) · (16 + 13)

A = 14 · 29

A = 406 m²

El área del terreno es igual a 406 metros cuadrados.

Ahora, determinamos el perímetro del terreno:

p = 2 · (b + h)

p = 2 · [(20 - 2 · x) + (16 + 10 · x)]

p = 2 · (8 · x + 36)

p = 16 · x + 72

p = 16 · 2 + 72

p = 32 + 72

p = 104 m

El perímetro del terreno es igual a 104 metros.

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Algebra question help plsssss

Answers

Answer: x<=-6 or x>=4 ==> option 2

Step-by-step explanation:

|x+1|-2>=3

|x+1|>=5

x+1>=5

x>=4

x+1<=-5

x<=-6

x<=-6 or x>=4 ==> option 2

Answer:

See below

Step-by-step explanation:

|x+1|  -2  ≥ 3      start by adding 2 to both sides

|x+1| ≥ 5      now   ....  

 x+1 >= 5              x+1 <=  -5

x  >= 4                    x <=  -6

combined         -6 >=  x >= 4

simply 7y2 - 5y + 9y - 5y2

Answers

Answer:

2y^2+4y

Step-by-step explanation:

7y^2-5y+9y-5y^2

=7y^2+4y-5y^2

=7y^2-5y^2+4y

=2y^2+4y

The bottles of soda are sold to the student council in a box weighing 24 pounds. if there are 60 bottles in the box, How much does each bottle of soda weigh

Answers

Answer:

2.5 60÷24=2.5 so there is ur answer hope it helps

pls help
Aaden took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.10 plus $2.75 per mile. The total fare was $27.85, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.

Answers

The equation can be written as 2.75x + 3.10 = 27.85

The number of miles in the taxi ride is 9

How to calculate the number of miles in the taxi ride ?

The taxi company was charged a pick-up fee of $3.10

It also charges $2.75 per mile

The total fare is $27.85

The equation can be written as

2.75x + 3.10 = 27.85

Collect the like terms to get the value of x

2.75x= 27.85 - 3.10

2.75x = 24.75

divide both sides by the coefficient of x which is 2.75

2.75x/2.75= 24.75/2.75

x= 9

Hence the number of miles in the taxi ride is 9

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Answer:

x=9

Step-by-step explanation:

i did it

NEED HELP ASAP ALSO READ PART A AND PART B

Answers

she made an error in the third step. The correct answer is - 9.7b + 25

How to add linear expression?

(-4.23b + 13) - (5.47b - 12)

Therefore, let's open the bracket on the right side.

-4.23b + 13 - 5.47b + 12

Hence, let's combine the like terms

-4.23b + 13 - 5.47b + 12

-4.23b - 5.47b + 12 + 13

Do the arithmetic of the like terms

-4.23b - 5.47b + 12 + 13

- 9.7b + 25

Therefore, she made an error in the third step.

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harold, tanya, and ulysses paint a very long picket fence. harold starts with the first picket and paints every h th picket; tanya starts with the second picket and paints every t th picket, and ulysses starts with the third picket and paints every u th picket. call the positive integer 100h 10

Answers

The possible triples are: (3, 3, 3), (4, 2, 4) as seen by counting theorem.

What is counting theorem?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n methods to carry out both of these acts if there are n ways to execute one activity and m ways to perform another action after that.

Now, by the counting principle,

Give the pickets numbers like 1, 2, and so on. If Picket 4 is painted, Ulysses must also paint the remaining Pickets. Let's say Harold paints picket number 4. If Harold and Ulysses both paint picket 7, Ulysses is unable to paint picket 5, so Tanya does. The picket is painted by Ulysses, and (h, t, u) = (3, 3, 3). However, let's say Tanya paints picket 4. Harold paints picket 5 since Ulysses is unable to do so or then there won't be anything left to paint. Ulysses paints picket 7 as a result, and (h, t, u) = (4, 2, 4).

Hence, the possible triples are: (3, 3, 3), (4, 2, 4).

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Solve the following system of equations.
5 a-b=17
3 a+2 b=5

Answers

Answer:

a = 3 , b = - 2

Step-by-step explanation:

5a + b = 17 → (1)

3a + 2b = 5 → (2)

multiplying (1) by 2 and adding to (2) will eliminate b

10a + 2b = 34 → (3)

add (2) and (3) term by term to eliminate b

13a + 0 = 39

13a = 39 ( divide both sides by 13 )

a = 3

substitute a = 3 into either of the 2 equations and solve for b

substituting into (1)

5(3) + b = 17

15 - b = 17 ( subtract 15 from both sides )

- b = 2 ( multiply both sides by - 1 )

b = - 2

then solution is a = 3 , b = - 2

pls help me ASAP
show all solutions ​

Answers

Answer:

Hello,

Step-by-step explanation:

I can only explain in mathematics not in English (i am French).
c: number of customers

n: number of good reviews

k: factor of proportionality

1)

p=k*c*n

15000=k*75*100 ==> k=2

if c=250 and n=150 then p=2*250*150=75000

2)

A=b*a/2 since b= 9 and a=4 then 9*4/2=18 (cm²)

A=4*7/2=14 (cm²)

someone help me for max points and brainliest

Answers

Well, the directions are laid out for you...

If F = 0.3444…, then 10F = 3.444.... Subtracting F from this gives

10F - F = 3.444… - 0.3444…

9F = 3.1

Solve for F.

F = 3.1/9 = (31/10)/9 = 31/90

so you would enter 90.

We wish to test the hypothesis that the mean weight of a population of fish is 140g. With sigma=15 g and alpha= 0.05, and a sample of 36 fish, find a) the mean values which would lead to a rejection of the hypothesis and Use a two-tailed test.

Answers

Using the z-distribution, it is found that mean weights less than 135.1g and more than 144.9 would lead to a rejection of the hypothesis.

What is the critical value of the test?

We have a two-tailed test, with a significance value of α = 0.05, hence, using a z-distribution calculator, the critical value is given by:

|z| = 1.96 -> z < -1.96 or z > 1.96.

What is the test statistic?

The test statistic is given as follows:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

X is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.

For this problem, the parameters are given as follows:

[tex]\mu = 140, \sigma = 15, n = 36[/tex]

The lower bound of acception is found as X when z = -1.96, hence:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

-1.96 = (X - 140)/(15/6)

-1.96 = (X - 140)/(2.5)

X - 140 = -1.96 x 2.5

X = 135.1.

The upper bound of acception is found as X when z = 1.96, hence:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

1.96 = (X - 140)/(15/6)

1.96 = (X - 140)/(2.5)

X - 140 = 1.96 x 2.5

X = 144.9.

Hence:

Mean weights less than 135.1g and more than 144.9 would lead to a rejection of the hypothesis.

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I need this answered in the next 10 minutes

Answers

Answer:

download mo po gauth math tas scan mo po yan

Step-by-step explanation:

A (4,2) and B (6,0) answer m=

Answers

Answer: 4 − 1 = 3

Step-by-step explanation: 6 - 2 = 4    32 + 42 = 25    4 − 1 = 3

Help me please! :)
And please explain how you got it

Answers

Answer:

-1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number

Step-by-step explanation:

You should understand that numbers are naturally classified as real and imaginary. Under the real numbers, they are additionally classified into rational and irrational numbers. Under rational numbers, these possess fractions and integers. Irrational numbers are in decimal forms that cannot be converted to fractions. Thus, the difference between the two is that: -1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number.

Find the amount of money accumulated after investing a principle P for years t at interest rate r, compounded continuously. P = $10,000 r = 11% r = 11% t = 20 Round your answer to the nearest cent (hundredth). Enter

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &20 \end{cases} \\\\\\ A=10000e^{0.11\cdot 20} \implies A=10000e^{2.2}\implies A \approx 90250.14[/tex]

9x + 22x + 25 =180 what does x =

Answers

Answer:

what does x = 5

45 + 110 + 25 = 180

Step-by-step explanation:

To get x we multiply which same number is multiplied by both numbers and give the answer for 9x + 22x + 25 = 180

in 9's table we have 9×5=45

in 22's table we have 22×5=110

Now we can check 45 + 110 + 25 = 180

Hence we can conclude that x = 5

Hope it helps!!!

:)

Brainliest pls

Answer:

x = 5

Step-by-step explanation:

Given equation

→ 9x + 22x + 25 = 180

Now the value of x will be,

→ 9x + 22x + 25 = 180

→ 31x = 180 - 25

→ x = 155/31

→ [ x = 5 ]

Hence, the value of x is 5.

A package of 10 cans of soup costs $14. an individual can costs $2. you need at least 25 cans. find the price of each combination of items. 25 individual cans: $ 50 1 package of 10 cans and 15 individual cans: $ 44 2 packages of 10 cans and 5 individual cans: $ 38 3 packages of 10 cans: $ 42 you decide to buy 3 packages of 10 cans. how much do you pay for each can? $ 1.5

Answers

If I want to buy 3 packages of 10 cans it will cost me around $1.4 per can.

It is given that the price of a package of 10 cans of soup = $14

and the price of an individual can = $2

Now, if I want to purchase at least 25 individual cans there can be two possible ways to do this:

I Purchase 2 packages of the can and then purchase the rest individual cans. Thus, if I have to purchase 25 cans it will cost around: 14 × 2 + 5 × 2 = $38.I Purchase 3 packages of cans. It will cost me around: 3 × 14 = $42. Also, it will give me extra 5 cans.

Therefore, if I decided to buy 3 packages of 10 cans it will cost me $42 and I will pay $1.4 for each can.

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I'd like the ratio of cupcakes to my guests to be 3 to 2 and there will be 8 guests

Answers

Answer: 12 cupcakes

Step-by-step explanation:

Please help asap!!!!

Answers

Answer: I believe that the answer is -3x=4y

Step-by-step explanation: I hope this helps and I am sorry if I am wrong.

3/8 x 11 =
3/4 x 2 = ​

Answers

3/8 * 11 = 4.125

3/4 * 2 = 1.5

4.125  = 33/8 = 4 1/8

1.5 = 3/2 = 1 1/2

Answer:

Hope this helps :)

3/8 x 11 = 33/8 = 4 1/8 (simplified and converted into mixed number)

3/4 x 2 = 6/4 = 1 2/4 = 1 1/2 (simplified and converted into mixed number)

The diameter of the base of a water bottle is 3 1/2 inches. What is the length on inches of the diameter of 6 of these water bottles?

Answers

Answer:

21

Step-by-step explanation:

3.5 x 6 = ?


Find the coordinates of the midpoint of a segment with the given endpoints.
V(-2,5), Z(3,-17)

Answers

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

What is the midpoint of the segment with the given endpoint?

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

x₁ = -2y₁ = 5

Point Z(3,-17)

x₂ = 3y₂ = -17

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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Write an expression for the operation described below.
7 times u

Answers

7 x U or 7(U)
your question is kind of vauge but maybe this helps!

) find the original price of a pair of boots of the sale price is $120 after a 20% discount

Answers

Answer:

$150

Step-by-step explanation:

The sale price is $120. We're looking for 80% of the original price, given this sale price.

[tex]120 = .8p[/tex]

[tex]p = 150[/tex]

What is the ordinal number word for the following number?
47
O four sevens
O forty-seven
O forty-seventh

Answers

Answer:

forty-seven :)

Step-by-step explanation:

4 tens

7 ones :)

Have an amazing day!!

Please rate and mark brainliest!!

Forty-seven is the correct answer

Check that q=514 for the equation q - 345 = 169

Answers

Answer:

169+345=514

514-169+345

Step-by-step explanation:

Answer:

514 - 345 = 169169 = 169

Step-by-step explanation:

Check that q=514 for the equation q - 345 = 169

q - 345 =  169

q = 169 + 345

q = 514

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

check

514 - 345 = 169

169 = 169

the answer is good

Stanley bought 16 bags of white rice and 7 bags of brown rice. each bag of rice weighed 13 kilograms. he also bought 17 bags of potatoes. how many kilograms of rice did stanley buy in all?

Answers

Stanley bought total 299 kilograms of rice.

To find the amount of rice in kilograms, bought by Stanley, we will perform multiplication and addition.

Weight of 1 bag = 13 kilograms

Weight of white rice = 16 × 13

Performing multiplication to calculate the weight

Weight of white rice = 208 kilograms

Weight of brown rice = 7 × 13

Performing multiplication to calculate the weight

Weight of white rice = 91 kilograms

Total amount of rice bought by Stanley = 208 + 91

Performing addition to calculate the weight

Total amount of rice bought by Stanley = 299 kilograms

Hence, Stanley bought total 299 kilograms of rice.

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