Find the volume of a square based pyramid with a base length of 8 m and a height of 14 m.

Answers

Answer 1

[tex]V = \frac{1}{3} \times base \: area \: \times height \\ [/tex]

[tex]V = \frac{1}{3} \times {8}^{2} \times 14 \\ [/tex]

[tex]V = \frac{1}{3} \times 64 \times 14 \\ [/tex]

[tex]V = \frac{896}{3} \: \: \: {m}^{3} \\ [/tex]


Related Questions

gemomtry plz help 15 points

Answers

Answer:

DE = 5x-12 (base angles of isos triangle)

How do you solve linear equations using the distributive property?

Answers

Answer: Solving two-step linear equations using distributive property: a (x+b)=c;aleft ( {x + b} ight) = ca (x+b)=c Solving linear equations using multiplication and division Solving two-step linear equations: ax+b=cax + b = cax+b=c, xa+b=c {x over a} + b = cax​+b=c

Step-by-step explanation:

Answer:

solving equations using distributive property. We'll guide you through two ways that the following question can be solved.

Question: 11.32 = 8(0.61 + x)

Solution 1:

11.32 = 8(0.61+x)

Divide both side by 8, you get 1.415 = 0.61 +x

Minus both side by 0.61, 0.805 = x

In this solution, we first try to move all the non-x terms over to one side. The first step of dividing both sides by 8 helps us move the 8 from the right side to the left side. This allows us to get rid of the parentheses too as the terms no longer have to be multiplied out (there's nothing to multiply them with). Then, in order to move 0.61 to the left side, we'll minus it from both sides. In the end, we'll get that x ultimately equals 0.805.

Solution 2:

11.32 = 8(0.61+x)

Open up the right side, you get 11.32 = 4.88+8x

Minus both side by 4.88, you get 6.44 = 8x

Divide both side by 8, you get 0.805 = x

In solution 2, we're truly using the distributive property. We're going to distribute 8 into the terms in the parentheses, which are "+0.61" and "+x". This gives us 4.88 + 8x on the right side of the equation. Then we can move over 4.88 to the left side with the rest of the non-x terms by minusing it from both sides. Lastly, divide both sides by 8 to move the 8 over to the left side and you'll find that x = 0.805. Both methods will bring you to the same correct answer.

5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?

Answers

Answer:

56 boxes

Step-by-step explanation:

1. First subtract 14 from 126 to get 112 boxes

2. Now divide 112 by 2 to get Victoria's total of 56

In a regression model of student grades, we would code the nine categories of business courses taken (ACC, FIN, ECN, MGT, MKT, MIS, ORG, POM, QMM) by including nine binary (0 or 1) predictors in the regression. Group startsTrue or False

Answers

Binary predictors are simply used to represent dummy variables in regression.

The statement that the nine categories can be coded by nine binary predictors is false.

Binary predictors can only take any of the two binary values (0 and 1).

This means that, the nine categories cannot be represented using binary values or predictors

This is so because, the number of categories (9) is greater than the number of predictors (2).

Hence, the given statement is false

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How long will it take for an investment to triple in value if it earns 81% compounded continuously? Round your answer to three decimals.

A. 0.678 years
B. 0.856 years
C. 1.356 years
D. 1.366 years

Answers

The number of years it would take an investment to triple with continuous compounding is 1.356 years.

The formula for calculating future value of an investment when there is continuous compounding is FV = A x [tex]e^{r}[/tex] x N

Where:

A= amount e = 2.7182818 N = number of years r = interest rateFV = future value FV / A = 3

N = log(3) / log(e) / 0.81 = 1.356 years

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Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.

Answers

Answer:

1 oz = 29.574 ml

16 oz = About 480 ml, so, yes, the answer is C.

Step-by-step explanation:

One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers

Answers

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

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g A long-term study has revealed that a test for cancer in men is very effective. The study shows that 89% of the men for which the test is positive actually have cancer. If a man selected at random tests positive for cancer with this test, what is the probability that he does not have cancer

Answers

The answer is 89% because I had that Same question and it was 89%

f(x) =2^x−4
g(x) = 5/x

evaluate g(f(2))=

Answers

Answer:

not possible

Step-by-step explanation:

f(2)=2^2-4=0

g(f(2))=5/0 it's not possible

select all the ways you can describe the given polygon

Answers

Answer:

Isoceles and obtuse

Step-by-step explanation:

Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says this means they have planted 50 bulbs so far. Label and shade the model. Then use your model to explain why Maya's statement is not reasonable.

Answers

Answer:

because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.

Step-by-step explanation:

the quotient of 28
divided by four
increased by 3


Answers

Step-by-step explanation:

28 / 4 = 7

7 + 3 = 10

so, 10 is your answer

Answer:

Step-by-step explanation:

28 ÷ 4 = 7

7 + 3= 10

Harper was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 16%. What number should she multiply the cost of the meal by to find the total plus tip in one step?

Answers

Answer:

Harper would take the Total Bill after tax and mutiply it by 0.16.

The formula for this would be

Total Bill = x

Tip = 16% -> 16/100 = 0.16

So

0.16x

A man walks for 2 hours at a certain speed. He then cycles at three times that speed for 4 hours. He goes 77 km altogether. Find the speed at which he walks.

Answers

The speed at which he walks is 7.7km/hr

The formula for calculating the distance is expressed as;

distance = speed * time

Let the speed moved by the man be x

If the  man walks for 2 hours at a certain speed, his distance will be 2x km

If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr

If he goes 77km altogether, hence;

2x + 4(2x) = 77

2x + 8x = 77

10x = 77

x = 77/10

x =7.7km/hr

Hence the speed at which he walks is 7.7km/hr

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would you treat the following items as assets in the accounts of a company? 1- A box file 2-A computer 3-A plastic display stand​

Answers

An asset is an item from which economic benefits flow unto an entity (a person or company in control of it). It can be in monetary terms or non-monetary terms. Thus, we can conclude from the question that:

1. A box file - It is an asset.

2. A computer - It is an asset.

3. A plastic display stand - It is not an asset.

An asset is that which ensure a continuous flow of economic benefits to an entity in possession (i.e control) of it. It can either be non-current or current.

A non-current asset is that which would be in the control of the entity for more than one accounting period (i.e a year). Examples are properties, Plants and equipment etc. While the current asset are those that the economic benefits derived from them would be lost after one accounting period (i.e a year). Examples are: purchased goodwill, intangible assets etc.

The items given in the question can be categorized as follows:

1. A box file - It is an asset. Since the entity will continue to use the box for more than a year.

2. A computer - It is an asset. The computer would be used for more than one accounting period.

3. A plastic display stand - It is not an asset. The plastic stand has a high probability of getting damaged even before the end of the accounting period.

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what is the largest number you can make with these digits ? 2 5 9 6 answer _____________​

Answers

Hello, hope you are having a splendiferous day.

Here are the numbers you can make with these 4 digits:

2596

6952

2965

5629

And so on.

However, the largest number we can make using these digits is

9652

Hope it helps. Glad to help.

Ask me if you have any queries.

Carry On Learning

~An emotional teen who helps others with joy

Good luck.

Lord...... Help me god pleas I will be giving u guy's credit.

Answers

Answer:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Step-by-step explanation:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.

Answers

Answer:

∠RQT = 23.5

∠PQR  = 133°

Step-by-step explanation:

Question 1

Step 1 - Add angles together:

As all angles on a straight line must add up to 180°:

3x - 5 + x + 1 = 180

Add like terms together

3x + x - 5 + 1

4x - 4 = 180

Step 2 - Add 4 to both sides of the equation:

4x - 4 + 4 = 180 + 4

4x = 184

Step 3 - Divide both sides by 4:

[tex]\frac{4x}{4} = \frac{184}{4}[/tex]

x = 46

∠RQS = x + 1

∠RQS = 46 + 1

∠RQS = 47

Given the ray QT bisects ∠RQS, the angles must be the same on either side so:

47 ÷ 2 = ∠RQT

∠RQT = 23.5

Question 2

As we know the value of x:

∠PQR = 3x - 5

Plug known values in:

3x - 5

3(46) - 5

138 - 5

∠PQR  = 133°

This can also be calculated by subtracting known angle ∠RQS from 180:

180 - 47 = 133.

Hope this helps!

A bag contains 8 red balls and 4 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red

Answers

Answer:

total marbles;12

after drawing red total counts are 7 red and 4 white       11 in total

probabilities are 4/11

Rewrite each equation in standard form.

4 and 5 only

Answers

Answer:

4) 2=4x-3y

5) 51=21x-3y

Step-by-step explanation:

I gave it my best shot, I used fraction busters to cancel out the fractions and then I used simple math and distributive property. Hope it helps.

The box-and-whisker plot below represents the ages of 12 people.
What percent of these people are age 15 or older?
5
+ + + + + +
10 15 20 25 30 35 40 45 50 55
25
B 35
© 75
0 85

Answers

The box and whiskers plot visually presents the ages of the 12

The percentage of the 12 people older than 15 is 75%

Reasons:

The five number summary from the box and whiskers plot is presented as follows;

Minimum value = 7.5

Maximum value = 50

Lower quartile, Q₁ = 15

Upper quartile, Q₃ = 40

Median, Q₂ = 32.5

The first quartile is equivalent to the 25th percentile

Therefore, given that the age 15 is equivalent to the first quartile = 25th percentile, the percentage of the 12 people that are older than 15 are;

Percent older than 15 = 100% - 25% = 75%

The correct option is 75%

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no link no bot fast right please is it inch or inch 2

Answers

Answer:

its just inch

Step-by-step explanation:

you would multiply the 3 and the other three and you would get 9

A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.

Please answer me ASAP I need an answer.

Answers

Answer:

P = 15.95N - 550

Step-by-step explanation:

The profit is the difference between the revenue and the total cost:

P = R - C

Substitute values:

P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550

The difference between cost and revenue is profit

P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550

If a rope four yards long is cut into three equal pieces, each piece will be A. 4feet B. 3 1/2 feet C. 3 1/3 D. 3 feet E. 2 1/4 feet

Answers

Answer:

A 4 Feet

Explanation 4yards=12feet 12 divided by 3=4

a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?

Answers

Answer:

7feet I hope this help you.

Jon paid $40 for a shirt, but later that week the
price had been raised by 15%...how much did
the shirt go up?

Please give a walk through ty

Answers

Answer:

15% of 40 is 6

9514 1404 393

Answer:

  $6

Step-by-step explanation:

15% is the ratio of the price increase to the original price.

As a fraction 15% = 15/100 (fifteen hundredths).

As a decimal, 15% = 0.15 (fifteen hundredths).

__

The statement about the price increase is telling you ...

  (increase)/(original) = 0.15

Multiplying by the original price, we get ...

  (increase) = 0.15×(original) = 0.15 × $40 = $6.00

The price of the shirt went up $6.00.

8 9/10 - 3 2/3 = Plz answer​

Answers

Concept:- In mixed fractions, we will have one whole number and a proper fraction. So, first we should convert them into improper fractions, which has the numerator greater than the denominator. After, converting to that we should convert the unlike fractions to like fractions by the method of LCM of denominators. Then, we can sub all the fractions so that we can get the answer.

Explanation:

{8(9/10)} - {3(2/3)}

Convert all mixed fractions to proper fractions.

= {(80+9)/10} - {(9+2)/3}

Now, add the both numerators.

= (89/10) - (11/3)

LCM of 10 & 3 is 30.

= {(89*3)/(10*3)} - {(11*10)/(3*10)}

Now, multiply the numerator and denominator of all fractions.

= (267/30) - (110/30)

Write all numerators with common denominator.

= {(267-110)/30}

Subtract the fraction and write it in simplest form.

= 157/30

Write the obtained answer in the form of mixed fraction.

= {5(7/30)}.

also read similar questions: 5/7 + 3 2/5 = 5/9 + 2 4/7 = 6 2/6 + 4/11 = 10 2/3 + 5 1/4 = 9 1/2 + ....

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Hi guys im stuck on this maths question

(2/5)^-3

Answers

Answer:

15.625

Step-by-step explanation:

Answer:

[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]

If 15 points is 13 cents how much would 5000 be?​

Answers

Answer: at least 50 dollars

Step-by-step explanation:

Step-by-step explanation:

15 points ⇒ 13 cents5000 points ⇒ x

Cross-multiply to find x:

x = 5000*13/15x = 4333 cents or $43.33

negative seven times a number is negative two hundred forty five. what is the number?



pleasee i need help

Answers

Answer:

35

Step-by-step explanation:

since i couldn't answer before

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