whats is 1+1

*i cant figure it out *

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Answer 2
The. Awnser is 1+1=2

Related Questions

PLEASE FILL IN THE BLANKS WITH THE CORRECT ANSWERS! THIS ASSIGNMENT IS GOING TO BE DUE IN 20 MINUTES. PLEASE BE A KIND PERSON AND HELP ME ANSWER THIS!

PLEASE FILL IN THE BLANKS WITH THE CORRECT ANSWERS! THIS ASSIGNMENT IS GOING TO BE DUE IN 20 MINUTES.

Answers

hi hello how are you i’m doing this quick

A plus charges $60 per hour and $80 as their 1 time fee

quality plumbing charges $50 an hour with $150 as the one time fee

false, a plus charges 380 and quality charges 400

hope this helps :)

Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars

quality plumbing charges 50 for each hour of work plus one time fee of 150

t or f quality plumbing charges the least for 5 hours of work false

Step-by-step explanation:

I think this is correct, no time to explain if you need this answer fast

describe the graph of the solution​

describe the graph of the solution

Answers

First, we want to note two things:

We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

If the point (0, -3) lies in the solution set of an inequality, which of the following could be that inequality?

If the point (0, -3) lies in the solution set of an inequality, which of the following could be that

Answers

Answer:

a

Step-by-step explanation:

What is the equation of the line that passes through the points (1, –1) and (3, –7)

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

Help please ...A square field has an area of 479 ft2. What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response.

Answers

you do 479 x 2 = 958 there is your answer your welcome

45.8 liters is equal to how many milliliters

Answers

Answer:

45800 millilitres

Step-by-step explanation:

1 litre = 1000 millilitres

So, 45.8 litre

= 45.8 × 1000 millilitres

= 45800 millilitres

Answer:

45.8 l is equal to 45800 ml

Step-by-step explanation:

carry the decimal by three places

45.8

458.0

4580.

45800.

a) Find the maximum value of f(x,y) = x^{3}y^{4} for x,y \geq 0 on the unit circle.

Answers

The maximum value of f(x,y) on the unit of circle is \(\frac{48 \sqrt{21}}{2,401}\).

The full question is in the attachment. From the unit circle

x² + y² = 1y² = 1 - x²

Substitute to f(x,y)

f(x,y) = x³y⁴ = x³ (y²)² = x³ (1 - x²)²

f(x,y) = x³ (1 - 2x² + x⁴)

f(x,y) = x³ - 2x⁵ + x⁷

df/dx = 3x² - (2 × 5)x⁴ + 7x⁶

df/dx = 3x² - 10x⁴ + 7x⁶

df/dx = x² (3 - 10x² + 7x⁴)

To find the maximum or minimum value, the derivated equals zero.

0 = x² (7x⁴ - 10x² + 3)

0 = x² (x - 1) (x + 1) (7x² - 3)

x² = 0
x = 0
f(x,y) = x³ - 2x⁵ + x⁷ = 0³ - (2 × 0⁵) + 0⁷ = 0x - 1 = 0
x = 1
f(x,y) = 1³ - (2 × 1⁵) + 1⁷ = 1 - 2 + 1 = 0x + 1 = 0
x = - 1
f(x,y) = (- 1)³ - (2 × (- 1)⁵) + (- 1)⁷ = - 1 + 2 - 1 = 0

7x² - 3 = 0

Using ABC formula

a = 7b = 0c = - 3

\(x_{1,2} \:=\: \frac{-b \pm \sqrt{b^2 \:-\: 4ac}}{2a}\)

\(x_{1,2} \:=\: \frac{-0 \pm \sqrt{0^2 \:-\: (4 \times 7 \times - 3)}}{2 \times 7}\)

\(x_{1,2} \:=\: \frac{\pm \sqrt{4 \times 21)}}{14}\)

\(x_{1,2} \:=\: \frac{\pm 2 \sqrt{21}}{14}\)

\(x_{1,2} \:=\: \frac{\pm \sqrt{21}}{7}\)

\(x_1 \:=\: \frac{\pm \sqrt{21}}{7}\)
f(x,y) = x³ - 2x⁵ + x⁷
\(f \:=\: (\frac{\sqrt{21}}{7})^3 \:-\: (2 \times (\frac{\sqrt{21}}{7})^5) \:+\: (\frac{\sqrt{21}}{7})^7\)
\(f \:=\: \frac{21 \sqrt{21}}{7^3} \:-\: \frac{2 \times 21 \times 21 \sqrt{21}}{7^5} \:+\: \frac{21 \times 21 \times 21 \sqrt{21}}{7^7}\)
\(f \:=\: \frac{7^4 \times 21 \sqrt{21} \:-\: 7^2 \times 2 \times 21 \times 21 \sqrt{21} \:+\: 21 \times 21 \times 21 \sqrt{21}}{7^7}\)
\(f \:=\: \frac{7^5 \times 3 \sqrt{21} \:-\: 7^4 \times 2 \times 3 ^2 \sqrt{21} \:+\: 7^3 \times 3^3 \sqrt{21}}{7^7}\)
\(f \:=\: \frac{7^3 \: (7^2 \times 3 \sqrt{21} \:-\: 7 \times 2 \times 3 ^2 \sqrt{21} \:+\: 3^3 \sqrt{21})}{7^7}\)
\(f \:=\: \frac{147 \sqrt{21} \:-\: 126 \sqrt{21} \:+\: 27 \sqrt{21}}{7^4}\)
\(f \:=\: \frac{48 \sqrt{21}}{2,401}\)\(x_2 \:=\: - \frac{\sqrt{21}}{7}\)
\(f \:=\: (- \frac{\sqrt{21}}{7})^3 \:-\: (2 \times (- \frac{\sqrt{21}}{7})^5) \:+\: (- \frac{\sqrt{21}}{7})^7\)
\(f \:=\: \frac{- 147 \sqrt{21} \:+\: 126 \sqrt{21} \:-\: 27 \sqrt{21}}{7^4}\)
\(f \:=\: \frac{- 48 \sqrt{21}}{2,401}\)

The maximum value from x₁.

The minimum value from x₂.

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a) Find the maximum value of f(x,y) = x^{3}y^{4} for x,y \geq 0 on the unit circle.

Parallel lines q and q are cut by transversal r forming 4 angles at each intersection. At the intersection of lines r and q, clockwise from top left, the angles are: 1, 2, 4, 3. At the intersection of lines r and s, clockwise from top left, the angles are: 5, 6, 8, 7.
Use the diagram to complete the statements.



Angles 1 and 5 are
because they are
angles.



Angles 4 and 6 are (blank)
because they are (blank)
angles.

Answers

The complete statements for the angles as in the task content are:

Angles 1 and 5 are congruent because they are corresponding angles.Angles 4 and 6 are congruent because they are alternate angles.

Which statements about the angles are correct?

It follows from the task content that the arrangement involves two parallel lines q and s which are cut by transversal line r.

On this note, according to the description in the task content, the angles formed at the intersections are related as follows;

Angles 1 and 5 are congruent because they are

corresponding angles.

Angles 4 and 6 are congruent because they are alternate angles.

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What is the unit rate when 4 pizzas cost $36.52?

Each pizza costs $ -

Answers

The answer is $9.13, have a fabulous day!

Answer:

yeah I think is 9.13

Step-by-step explanation:

the prime factorization of 171 using exponents.

Answers

Answer:

the prime factorization of 171 can be written as 32 × 191 where 3, 19 are prime.

mark me as brainliest

a. In the following market, decide whether there are any arbitrage opportunities and, if there are, identify one by constructing a Type I or Type II arbitrage portfolio x. If there is no arbitrage, provide a vector of strictly positive state prices consistent with the the Law of One Price and the payoff matrix and price vector of the basis assets: Payoff matrix is A=




2
1
0


1
1
−1


3
1
1





and price vector is S=




1
0.75
1.5





. b. Let the payoff matrix be A=




1
0
1


3
2
1





and the prices S=[
1
2

]. What is the no-arbitrage price of the security with payoff b=




5
4
1





?

Answers

a. To determine if there are any arbitrage opportunities in the market, we need to check if the payoff matrix A is linearly dependent on the price vector S.

If A and S are linearly dependent, then there are no arbitrage opportunities. If they are linearly independent, we can construct an arbitrage portfolio.

In this case, we observe that the rank of the matrix A is 2, which is less than the number of columns (3). Therefore, A and S are linearly dependent, indicating that there are no arbitrage opportunities in this market.

b. To find the no-arbitrage price of the security with payoff b, we need to determine the weights of the basis assets that replicate the payoff vector b. We can do this by solving the equation A * x = b, where A is the payoff matrix and x is the vector of weights.

The equation, we get the following system of equations:

x₁ + x₃ = 5

3x₁ + 2x₂ + x₃ = 4

Solving this system of equations, we find x₁ = 2, x₂ = -1, and x₃ = 3.

Therefore, the no-arbitrage price of the security with payoff b is given by the dot product of the weights and the price vector S:

No-arbitrage price = (2 * 1) + (-1 * 2) + (3 * 1.5) = 3 + (-2) + 4.5 = 5.5

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find the value of each expression

16.2 + (-8.4) =

2/5 - 3/5 =

-9.2 - 7 =

(-4 3/8) - (-1 1/4) =

WILL GIVE OUT BRAINLIEST !

Answers

Answer:

1. 7.8

2. -1/5

3. -16.2

4. -25/8

Step-by-step explanation:

-

Answer:

7.8

-0.2

-16.2

-3.125

I really hope it helps

ps: from ultra instinct Giga Chad

Explain how the following would affect the margin of error of a confidence interval, if all other things remained the same. Increasing the confidence level

Answers

Increasing the confidence level would increase the margin of error of a confidence interval, all other things remaining the same. This is because a higher confidence level corresponds to a wider interval so larger range of possible values.

In order to maintain the same level of precision, a wider interval requires a larger margin of error to account for the increased variability in the data.  For example, a 95% confidence interval would have a smaller interval width than a 99% confidence interval, as the latter requires a larger range of possible values to be included in the interval.

As a result, increasing the confidence level would increase the precision and accuracy of the estimate but at the cost of a larger margin of error.

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If the graph of f(x) = 9x is shifted 2 units to the right, then what would be the equation of the new graph?

Answers

Answer:

f(x) = 9x - 18

Step-by-step explanation:

Moving the graph to the left or right involves directly manipulating the "x" value. When you want to shift the graph to the right, you need to subtract the desired value directly from "x". This would make the equation look like this:

f(x) = 9(x - 2)

However, this can be simplified by multiplying 9 by each term in the parentheses.

f(x) = 9x - 18

to determine her blood sugar level​, keri divides up her day into three​ parts: morning,​ afternoon, and evening. she then measures her at randomly selected times during each part of the day.

Answers

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

The stratified sampling can be defined as the sampling from the population which is partitioned or divided into many parts.

Here, the lady has divided her day into three parts morning, afternoon and evening.

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

This is a type of stratified sampling.

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Can yaal help me Find the value of x

Can yaal help me Find the value of x

Answers

Answer:

C

Step-by-step explanation:

the ratios of corresponding sides are in proportion

that is the outer triangle and the inner triangle

\(\frac{x}{30}\) = \(\frac{88}{44}\) = 2 ( multiply both sides by 30 to clear the fraction )

x = 30 × 2 = 60

Answer:

C. 60

Step-by-step explanation:

I just saw that 44 + 44 equals 88 and compared those two sides, I knew it couldn't be 88, so that's out.  Then, I saw that the side, 21 + 21, was shorter than the unknown side and that ruled out 42 and 30.  60 is the only one that is left and makes sense.

a payroll clerk addresses five paychecks and envelopes to five different people and randomly inserts the paychecks into the envelopes. find the probability of each event. (a) exactly three paychecks are inserted in the correct envelopes. (no response) seenkey 1/12 (b) at least three paychecks are inserted in the correct envelopes.

Answers

The required probability for the given different events are as follow,

Probability that exactly three paychecks are inserted in the correct envelopes = 1/12

probability of at least three paychecks is 1/4.

Probability that exactly three paychecks are inserted in the correct envelopes, use the formula for permutations,

Probability 'P'

=[ (number of ways to choose 3 correct envelopes) x (number of ways to choose 2 incorrect envelopes) x (number of ways to arrange the paychecks in the correct envelopes) ] / (total number of ways to arrange the paychecks in the envelopes)

Number of ways to choose 3 correct envelopes out of 5 is

5C3 = 10

Number of ways to choose 2 incorrect envelopes out of 5 is

5C2 = 10

Number of ways to arrange the 3 correct paychecks in their correct envelopes is 3! = 6

Number of ways to arrange the 2 incorrect paychecks in their incorrect envelopes is 2! = 2.

Total number of ways to arrange the paychecks in the envelopes is

5! = 120.

Probability that exactly three paychecks are inserted in the correct envelopes is,

Probability

= (10 x 10 x 6 x 2) / 120

= 1/12

Probability that at least three paychecks are inserted in the correct envelopes,

Exactly 3 paychecks are inserted in the correct envelopes

Exactly 4 paychecks are inserted in the correct envelopes

All 5 paychecks are inserted in the correct envelopes

Probability of exactly 3 paychecks being correct is 1/12.

Number of ways to arrange the paychecks in the envelopes is 1.

P(exactly 4 correct)

= (number of ways to choose 4 correct envelopes) x (number of ways to choose 1 incorrect envelope) x (number of ways to arrange the paychecks) / (total number of ways to arrange the paychecks)

= 5C4 x 1 x 4! / 5!

= 1/5

Probability of all 5 paychecks being inserted in the correct envelopes is 1/5! = 1/120.

Required probability

= 1/12 + 1/5 + 1/120

= 1/4

Therefore, the probability of exactly and at least 3 paychecks being inserted in the correct envelopes is equal to 1/12 and 1/4 respectively.

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Please answer with steps
{0.4), (-4,-6)

Answers

\((0.4), (-4,-6)\)

The LCM of a, b is the smallest multiplier that is divisible by both a and b

\(= 0.4(-4, -6)\)

Which method is best to use to solve the equation 4x2−29=0?(1 point)

quadratic formula

completing the square

factoring

Square Root Property

2Is the quadratic formula the most efficient method for solving x2−x−42=0? Explain.(1 point)

No, completing the square is the most efficient method because the equation begins with x2.

No, factoring is the most efficient method because the expression on the left is factorable.

Yes, the quadratic formula is the most efficient method because it provides the fewest calculations.

Yes, the quadratic formula is the most efficient method because it provides the correct answer.

3.Which is the most efficient method to use when solving 3x2+5x+1=0?(1 point)

completing the square

quadratic formula

factoring

Square Root Property

4.Speculate which solution method is the most appropriate for solving the equation, then solve.

x2−3x−10=0

(1 point)

quadratic formula; x=2, −5

quadratic formula; x=−2, 5

factoring; x=−2, 5

factoring; x=2, −5

5.A quadratic equation has coefficients a=4, b=−8, and c=4. Which method is the most efficient way to solve for x?(1 point)

completing the square

factoring

Square Root Property

quadratic formula

Answers

Answer:

i think factoring

Step-by-step explanation:

Answer: for the first one its quadratic formula...

Step-by-step explanation:

im still doing the QC so ill keep you updated

solve the equation below
for the indicated variable
1/3ab^2=6 (solve for a)​

Answers

Answer:

a=18/b2

Step-by-step explanation:

The required equation for the indicated variable is a = 18/b² which is solved for a.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given the equation for the indicated variable as

⇒ 1/3ab² = 6

Multiply by 3 both sides of the above equation,

⇒ ab² = 6×3

⇒ ab² = 18

Divide by b² into both sides of the equation, and we get

⇒ a = 18/b²

Therefore, the required equation for the indicated variable is a = 18/b².

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please help.............

please help.............
please help.............

Answers

Answer:

Step-by-step explanation:

Multiply the y in the binomial by every term in the trinomial. Repeat this for the 3, and sum them all up

\((y+3)(y^2+8y-2)\\y^3+8y^2-2y+3y^2+24y-6\\y^3+11y^2+22y-6\)

Answer:

No

Step-by-step explanation:

Why should anyone help you when all you do is steal points

HEEELP ASAP PLEASEEEEEEEE

Find the slope of the curve f(x) = 2x^2.

2x
x
4x

Answers

Answer:

4x

Step-by-step explanation:

2\(x^{2}\)

The derivative of a\(x^{n}\) is na\(x^{n-1}\)

2 × 2\(x^{2-1}\)

Multiply 2 times 2.

4\(x^{2-1}\)

Subtract 1 from 2.

4\(x^{1}\)

For any term t, \(t^{1}\) = t

4\(x\)

which of the following has the greatest probability?a. p(t>2) if t has 5 degrees of freedom. b. p(t>2) if t has 2 degrees of freedom. c. p(z>2) if z is a standard normal random variable. d. p(t<2) if t has 5 degrees of freedom. e. p(z<2) if z is a standard normal random variable.

Answers

he option with the greatest probability is option e: p(z<2) if z is a standard normal random variable.

The greatest probability among the given options can be determined by comparing the probabilities of each option. Here's a step-by-step explanation:
Understand the given options:
a. p(t>2) if t has 5 degrees of freedom (t-distribution with 5 df)
b. p(t>2) if t has 2 degrees of freedom (t-distribution with 2 df)
c. p(z>2) if z is a standard normal random variable (standard normal distribution)
d. p(t<2) if t has 5 degrees of freedom (t-distribution with 5 df)
e. p(z<2) if z is a standard normal random variable (standard normal distribution)
Recall that t-distributions are more spread out with thicker tails than the standard normal distribution, and as the degrees of freedom increase, the t-distribution approaches the standard normal distribution.
Now, compare the options:
a. p(t>2) with 5 df: Lower probability due to thicker tails and lower df.
b. p(t>2) with 2 df: Even lower probability due to thicker tails and very low df.
c. p(z>2) (standard normal): Lower probability because it's on the right tail of the distribution.
d. p(t<2) with 5 df: Higher probability because it covers the central part of the t-distribution with 5 df.
e. p(z<2) (standard normal): Highest probability because it covers the central part of the standard normal distribution, which is more concentrated in the middle compared to t-distributions.
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20% of the 520 students in Windover middle school were involved in student sports of those students 12.5% were the wrestling team how many students were on the wrestling team

Answers

There were 13 students on the wrestling team.

First, we need to calculate how many students are involved in student sports:

20% of 520 students = 0.20 x 520 = 104 students

Then, we need to calculate how many of those students were on the wrestling team:

12.5% of 104 students = 0.125 x 104 = 13 students

Therefore, there were 13 students on the wrestling team.

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Write a set of parametric equations for the equation x = 3y - 2 given that t= x + 3​

Answers

Answer:

i hope you meant "y" instead of "t" because that would make so much more sense. all you have to do with this is replace "y" in the equation with "x + 3" (this makes the equation x = 3[x + 3] - 2). now, you multiply and combine the like-terms (making x = 3x + 7). you now continue by subtracting 3x from both sides of the equation to make -2x = 7 and dividing to make x = -3.5

Step-by-step explanation:

x = 3(x + 3) - 2

x = 3x + 9 - 2

x = 3x + 7

-2x = 7

x = -3.5

Automatic Transmissions, Inc., has the following estimates for its new gear assembly project: price = $940 per unit; variable cost = $340 per unit; fixed costs = $3.4 million; quantity = 53,000 units. Suppose the company believes all of its estimates are accurate only to within ±15 percent. What values should the company use for the four variables given here when it performs its best-case scenario analysis? What about the worst-case scenario?

Answers

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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A culture of bacteria has an initial population of 37000 bacteria and doubles
every 2 hours. Using the formula Pt = Po 2, where Pt is the population
after t hours, Po is the initial population, t is the time in hours and d is the
doubling time, what is the population of bacteria in the culture after 7 hours,
to the nearest whole number?

Answers

After 7 hours, the population of bacteria is obtained as 418544.

What are the rules of exponents?

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The initial population of bacteria is given as 37000.

And, the doubling time is 2 hours.

Then, the formula for the population of bacteria at t hour can be given as,

P(t) = P₀ × \(2^{t/2}\) where P₀ is the initial population.

Substitute t = 7 and P₀ = 37000 to get,

P(7) = 37000 × \(2^{7/2}\)

⇒ P(7) = 418544

Hence, the population of bacteria after 7 hours is 418544.

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For the binomial distribution, which formula finds the standard deviation? Choose the correct answer below:
a. np
b. npq
c. √np
d. √npq

Answers

Answer: D

Step-by-step explanation:

Given a binomial distribution, the standard deviation can be found by the equation

\(npq\)

where n = number of trials, p = chance of success, and q = chance of failure (or 1 - p).

The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, start text, m, end text long by 20 \,\text{m}20m20, start text, m, end text wide. The pool contains 1472 \text{ m}^31472 m 3 1472, start text, space, m, end text, cubed of water. How deep is the water in the pool

Answers

Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the following details about the YMCA lap pool:

The volume of the pool = 1472m³The length of the pool = 36.8mThe width of the pool = 20 m

Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,

The volume of the pool = Length × width × depth

1472m³ = 36.8m × 20 m × depth of the pool

Depth of the pool = (1472m³ ) / (36.8m × 20m)

                              = 2 meter

Hence, the depth of the YMCA lap pool is 2 meters.

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Given right triangle



ABC with altitude



BD
drawn to hypotenuse



AC
. If


=
20
AD=20 and


=
14
,
DC=14, what is the length of



BD
in simplest radical form?

Answers

The length of side BD which is the altitude of the triangle is 2√(70)

How to find the length of BD

The length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include

triangle ABD and triangle CBD

Let the altitude be h, hence we have the formula of the proportions as

AD / h = h / DC

plugging the values gives

20 / h = h / 14

h^2 = 20 * 14

h = √(20 * 14 )

h = √(280)

h = 2√(70)

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