write the formula for the volume of a square prims V=1/3 S2H, in terms of H. Then find the height a square prism with volume V=60cm3 and side s=6cm

Answers

Answer 1

Given the formula

\(V=\frac{1}{3}s^2h\)

This is the formula to obtain the volume of a square pyramid, not a square prism; we will solve the question using the formula above, nonetheless.

Solve for h as shown below

\(\begin{gathered} \Rightarrow3V=3(\frac{1}{3}s^2h)=s^2h \\ \Rightarrow\frac{3V}{s^2}=\frac{s^2h}{s^2}=h \\ \Rightarrow h=\frac{3V}{s^2} \end{gathered}\)

The answer is h=3V/s^2.

Set V=60cm^3, and s=6cm; then,

\(\begin{gathered} V=60\operatorname{cm}3,s=6\operatorname{cm} \\ \Rightarrow h=\frac{3(60cm^3)}{(6\operatorname{cm})^2}=\frac{180\operatorname{cm}3}{36\operatorname{cm}2}=5\operatorname{cm} \\ \Rightarrow h=5\operatorname{cm} \end{gathered}\)

Therefore, the answer is h=5cm.


Related Questions

find the value of x.....

find the value of x.....

Answers

X = 18

4x + x = 90
5x = 90
X = 90/5
X = 18

Check your work

4 (18) + 18 = 90

72 + 18 = 90
90=90

What is the missing number in this pattern ?

What is the missing number in this pattern ?

Answers

Answer:

11 I think

Step-by-step explanation:

11 is the answer hope this is good

How do i solve this paper?
I feel like my answers are gone and i need help.

How do i solve this paper?I feel like my answers are gone and i need help.

Answers

Answer:

you have it correct sir

Step-by-step explanation:

A card is drawn at random from a standard deck of cards. Find the probability of drawing:
1. A queen or a spade.
II. A black or a face card.
III. A red queen.

Answers

Given that a card is drawn at random from a standard deck of cards. We are asked to find the probabilities of

1) A queen or a spade.

2) A black or a face card.

3) A red queen.

This can be seen below;

Explanation

The formula for the probability of an event is given as;

\(\text{Pr(event) =}\frac{\text{number of events}}{\text{number of total possible outcomes}}\)

For a given deck of cards, the number of total possible outcomes is 52 different cards. Next, we find the number of events for each case

\(\begin{gathered} n(\text{queen)}=4 \\ n(\text{spades)}=13 \\ n(\text{black)}=26 \\ n(\text{face card)=}12 \\ n(\text{red queen) =2} \end{gathered}\)

Therefore we can find the probability in each case. Recall that "or" in probability implies we will add the values of the probabilities we are comparing.

1) A queen or a spade

\(Pr(\text{queen or spade)= }\frac{4}{52}+\frac{13}{52}=\frac{17}{52}\)

Answer

\(Pr(\text{queen or spade)=}\frac{17}{52}\)

2) A black or a face card

\(Pr(black\text{ or }facecard)=\frac{26}{52}+\frac{12}{52}=\frac{38}{52}=\frac{19}{26}\)

Answer:

\(Pr(\text{black or facecard)=}\frac{\text{19}}{26}\)

3) A red queen

\(Pr(A\text{ }red\text{ }queen)=\frac{2}{52}=\frac{1}{26}\)

Answer

\(Pr(A\text{ }red\text{ }queen)=\frac{1}{26}\)

A shopkeeper selling an article at a discount of 25% looses Rs.125.If he allows 10% discount he gains Rs 250.Find the marked price and the costprice of the article. ..............(Plz send the ans clearly if you send the ans clearly I will mark you as a brainliest)​

Answers

Answer:

i dont know

but try you will get the answer

Can you please tell me the four types of algebraic expressions?

Answers

Answer:

MonomialPolynomialBinomialTrinomialMultinomial (these are the five types of algebraic expressions)

Write with a single exponent:

Write with a single exponent:

Answers

Answer:

10^-3

10^-7

10^-8

10^-9

10^-6

Step-by-step explanation:

mark me brainliest pls

Which statement is true A has the risk of an investment decreases the opportunity of gains increases B as the risk of an investment decreases so does the potential for its return C as the risk of an investment increases its market value increases D as the risk of an investment increases the opportunity of gains decreases E as a risk of an investment increases its market value decreases

Answers

Answer is B: As the risk of an investment decreases, so does the potential for its return.


Which of the contexts below could be modeled by a linear function?

Money invested in a savings account grows at an annual rate of 2.6%.
A smartphone data plan charges a $65/month and $0.46/GB of data used.
A certain population of 24 aggressive zombies quintuples every hour.
A town's population shrinks at a rate of 8.2% every year.

Answers

The context that could be modeled by a linear function is A. A smartphone data plan charges $65/month and $0.46/GB of data used.

The total cost of the data plan depends linearly on the amount of data used.  The monthly fixed cost of $65 represents the y-intercept, and the variable cost of $0.46/GB represents the slope of the linear function.

What is a linear function?

A linear function is a rule in Maths that links two things on a graph using a straight line.

For instance: y = mx + b

In this equation

y = the thing that depends on something else (like time),

x = the thing it depends on (like distance),

m = how much y changes when x changes and

b = where the line starts on the up-and-down axis.

So, the slope (m) shows how y changes when x changes and the starting point (b) tells us where the line begins.

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6. Find x.
a. x² = 25

Answers

x = ±5

Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

an american author, anthropologist, and filmmaker who portrayed racial struggles in the early 1900 american south and published research on hoodoo. one of her most popular novels entitled their eyes were watching god was published in 1937. she also wrote more than 50 short stories, plays, and essays. who is she?

Answers

The person who is an american author, anthropologist, and filmmaker who portrayed racial struggles in the early 1900 american south and published research on hoodoo is Zora Neale Hurston.

She is known for portraying racial struggles in the early 1900s American South and published research on hoodoo. Her most popular novel, "Their Eyes Were Watching God," was published in 1937. She also wrote over 50 short stories, plays, and essays.

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PLEASE HELP!! I ONLY NEED HELP WITH THE LAST PART (ASKING AVERAGE SPEED)

PLEASE HELP!! I ONLY NEED HELP WITH THE LAST PART (ASKING AVERAGE SPEED)

Answers

Answer:

429

Step-by-step explanation:

Question 2(Multiple Choice Worth 4 points)
(01.04 LC)
Given the linear functions f(x) = x -2 and g(x)=-3x + 4, determine (f- g)(x).
(f-g)(x) = -3x - 8
(f-g)(x)=-3x²-8
(f-g)(x) = -3x² + 10x - 8
(f-g)(x) = -3x² - 2x - 8

Answers

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

What is linear function?

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

According to given information:

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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(−2 3/2​)^2
KHAN ACADEMY (EXPONENTS WITH NEGATIVE FRACTIONAL BASE)

Answers

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Dr. Brown is conducting a study in which participants have been randomly assigned to either the treatment condition or a comparison treatment condition and they measured the participants' symptoms before treatment, during treatment, and now 3-months post-treatment. Which type of research design did Dr. Brown use

Answers

Dr. Brown used a randomized controlled trial (RCT) research design.

A randomized controlled trial (RCT) is a type of scientific experiment in which two or more groups of patients are subjected to various clinical treatments, interventions, or exposures. In an RCT, subjects are randomly allocated to either a treatment group or a control group, and the treatment group receives the new intervention being tested, while the control group receives the standard intervention or placebo.

Therefore, Dr. Brown used a randomized controlled trial (RCT) research design in which participants were randomly assigned to either the treatment condition or a comparison treatment condition, and their symptoms were measured before treatment, during treatment, and now 3-months post-treatment.

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The legend on a map states that 1 cm is
45 km. If you measure 7 cm on the
map, how many kilometers would the
actual distance be?

Answers

Answer:

315 Km

Step-by-step explanation:

7 x 45 = 315

ASAP! exponent rules

ASAP! exponent rules

Answers

Answer:

C: 9

Step-by-step explanation:

3^4/3^2

3*3*3*3/3*3 cancel out 2 threes from the bottom and top.

3*3=9

Tania is going to make soup. She combines 225 grams of water with 300 grams of condensed soup. Tania then adds 50 grams of celery and 10 grams of carrots. How much soup does Tania have before she warms it on the stove?

Answers

Answer:

375 grams of soup sir I hope this helps

Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.

Answers

Answer:1.07

Step-by-step explanation:

The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem? 32.6 minus y = 10.2 y minus 36.2 = 10.2 10.2 minus y = 32.6 y + 32.6 = 10.2

Answers

Answer:

32.6 - y= 10.2

Step-by-step explanation:

The equation to solve this problem can be written as

32.6 - y= 10.2

Where y is the number that was substracted from 32.6.

If we make y subject of formula we have

y= (32.6-10.2)

y=22.4

Which means the number that was substracted from 32.6 is 22.4 and there difference is 10.2

Answer:

A. 32.6 - y= 10.2

Correct on Edge 2021

A main task for members during the final session is to put into words what has transpired from __________.

Answers

The main task for members during the final session is to put into words what has transpired from the first to the final session.

What happens in the first session of group therapy?

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

What is the first therapy session called?

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

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Please answer please I need it today, if you show ur answer and solution then i'll make you the brainliest

Please answer please I need it today, if you show ur answer and solution then i'll make you the brainliest

Answers

Answer:

1) 0.3

2) 12

3a) 5/6

3b) 4/5

Step-by-step explanation:

1) There are;

12 white balls, 6 green balls and 2 red balls.

Total number of balls = 12 + 6 + 2 = 20

Probability of selecting a green ball at random = 6/20 = 3/10 = 0.3

2) we are told that number of marbles is 28 marbles.

Now, theoretical probability of drawing a blue marble = 3/7

This fraction is; number of favorable outcomes/number of possible outcomes.

Thus;

Number of blue marbles = 3/7 × 28 = 12 blue marbles

3a) theoretical probability is what we expect to happen.

There are 5 numbers less than 6 in the table.

Thus;

Theoretical probability of getting a number less than 6 in the next throw = 5/6

3b) Experimental probability is what actually happens.

Number of times a number less than 6 appears = 6 + 4 + 7 + 11 + 12 = 40 times

There was a total of 50 trials. Thus;

Experimental probability of getting a number less than 6 in the next throw = 40/50 = 4/5

The square of an add number is

Answers

Step-by-step explanation:

an odd number

3*3 =9

5*5= 25

7*7= 49

Answer:

x = number

add number = addition

square = ^2

x^2

Brainlist pls!

Find the value of a for which v = [6 -10 4 a] is in the set H = span

Answers

The value of a for which v is a linear combination is given as follows:

a = -8.

How to obtain the value of a?

v will be a linear combination of the set H if it can be obtained as the solution of a system of equations from the set H.

From the vectors, the system is defined as follows:

-x = -1.2x - y = 4.5x + 4y - 3z = -6.-x + 3y - z = a.

From the first equation, the value of x is obtained as follows:

-x = -1

x = 1.

From the second equation, the value of y is obtained as follows:

2x - y = 4

2 - y = 4

y = 2 - 4

y = -2.

From the third equation, the value of z is obtained as follows:

5x + 4y - 3z = -6.

5 - 8 - 3z = -6

3z = 3

z = 1.

Then the value of a needed for the linear combination is of:

a = -x + 3y - z

a = -1 - 6 - 1

a = -8.

Missing Information

The problem is given by the image shown at the end of the answer.

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Find the value of a for which v = [6 -10 4 a] is in the set H = span

The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?

The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value ofy in simplest

Answers

The required value of y for the unit circle is: 2/3

How to find the point on the unit circle ?

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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What is the greatest common factor of 9, 36, and 27?

Answers

Answer:

the greatest common factor is 9

gement System Grade 0.00 out of 10.00 (0%) Plainfield Electronics is a New Jersey-based company that manufactures industrial control panels. The equation gives the firm's production function Q=-L³+15

Answers

The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.

In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.

Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.

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Analyze the definition below and complete the instructions that follow.

A calf is a young cow.

Identify the p and q statements from the given definition.

A.
p: A cow is young ↔ q: A cow is not a calf
B.
p: A young cow is a calf ↔ q: A calf is a cow
C.
p: A cow is a young calf ↔ q: A calf is a young cow
D.
p: A cow is a calf ↔ q: A cow is young

Answers

Answer: B

Step-by-step explanation:

Assuming we mean biconditional statements. A biconditional must always be true. B is the only answer choice were both p and q are true. A young cow is a calf, and calfs are cows. Hope this helps!

A standing wave can be mathematically expressed as y(x,t) = Asin(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.

Answers

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probability experiment. In most applications, discrete random variables represent counted data. C. In most applications, continuous random variables represent measured data. D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Answers

Answer:

The true statements are :

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

Step-by-step explanation:

It is true statement that,

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

The false statement is -

D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Reason -

The mean value, or expected value, of a discrete random variable X is given by the following equation:

μ = E(x) = ∑ x p(x)

And

The variance of a discrete random variable is given by the following formula:

σ²=∑ (x−μ)² P(x)

And

The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :

σ = √σ²

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