A swimming pool is to be drained. The pool is shaped like a Rectangular prism with length 12m , with 10 m, and depth 3m. Suppose water is pumped out of the pool at a rate of 18 m3 per hour.if the pool starts completely full , how many hours does it take to empty the pool ?

Answer:

yes they are perpendicular to eachother because when both the lines cross it makes a right angle 90 degrees making it perpendicular

Step-by-step explanation:

Answer: \(4x^2-21x-2\) .

Step-by-step explanation:

Given: The difference of two trinomials is \(x^2 -10x + 2\). If one of the trinomials is \(3x^2 - 11x - 4\).

Then, the other trinomial will be (\(3x^2 - 11x - 4\) ) + (\(x^2 -10x + 2\))

\(=3x^2-11x-4+x^2-10x+2\\\\=3x^2+x^2-11x-10x-4+2\\\\=4x^2-21x-2\)

Hence, the other trinomial could be : \(4x^2-21x-2\) .

The length of the loan in months is 151. 33 months

The formula for determining simple interest is expressed as;

I = PRT/100

Where;

From the information given, we have that;

Principal interest = $600

Simple interest = $681

Rate = 9%

Substitute the values into the formula

$681 = $600 × 9 × T/100

Multiply the numerators

$681 = 5400T/100

cross multiply

68100 = 5400T

Divide both sides by 5400

T = 68100/5400

T = 12. 61 years

Convert the years to months

T = 12.61(12)

T = 151. 33 months

Hence, the value is 151. 33 months

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I wish I could help but I don't know

There are different kinds of shapes. The shapes have been sorted below:

The term shape is a word that connote the form or dimensions  of an object and also their outline.

It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.

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Answer:

rectangle

Step-by-step explanation:

trust

Answer:

B. The product of 5 and a number.

Product means multiplication is taking place. In this case, 5 is being multiplied with n.

Hope this helps!

Answer:

Confidence Interval = (1.41, 1.59)

Step-by-step explanation:

To construct a confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (margin of error * standard error)

where the standard error is equal to the standard deviation divided by the square root of the sample size.

Given the information provided, we can calculate the standard error as:

standard error = 2.16 / sqrt(1370) = 0.058

Then, we can calculate the margin of error as 0.12.

Substituting these values into the formula, we get:

Confidence Interval = 1.5 ± (0.12 * 0.058)

Confidence Interval = (1.41, 1.59)

Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.

Answer:

0.1333

Step-by-step explanation:

Dado: 120 ÷ 900

\(\frac{120}{900}\)

\(\frac{12}{90}\)

= 0.1333

Answer:0.133333333

Step-by-step explanation:

Look man or lady,i dont speak Spanish, but that is the answer.(plus add a bar notation for the 3.

Answer:

24*10^3=24000

Step-by-step explanation:

Answer:

the answer is 24000 grams

Step-by-step explanation:

hope this helped

Answer:

= -12x+10

Step-by-step explanation:

Answer:

Its -12

Step-by-step explanation:

its -12 because 8/2-4x8= -20 and 2+6 is 8 then you add -20 by 8 then you have an Answer of -12

Answer:

y = -\(\frac{3}{7} x - 2\)

Step-by-step explanation:

slope-intercept form : y = mx + b

Solve for y.

Subtract 3x on both sides. You get --> 7y = -3x - 14

Divide by 7 on both sides. You get --> y = \(\frac{-3x-14}{7}\)

Simplfy it. -14/7 = 2 so you get y = -\(\frac{3}{7} x - 2\)

Answer:

d. Line UR and Line VW are parallel

Step-by-step explanation:

If they were to continue going straight, they would not touch, making them parallel.

I hope this helps!

The value of x, given that when it divides a number, there is a quotient and a remainder, is 400

To find the value of divisor, we can use a variant of the division algorithm formula :

Divisor = ( Dividend - Remainder ) / Quotient

x is the divisor

Dividend = 19, 432

Remainder = 232

Quotient = 48

This means that the value of x is:

x = ( 19, 432 - 232 ) / 48

x = 19, 200 / 48

x = 400

In conclusion, x is 400.

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Answer:

If Im NOT MISTAKEN its 7.41

Step-by-step explanation:

Answer: We can use the trigonometric identity cos(A - B) = cosA cosB + sinA sinB and the given value of cos(A - B) to find the value of cosA cosB - sinA sinB. Then, we can use the given value of secA to find the value of cosA, and use the fact that secA = 1/cosA to find the value of sinA. Finally, we can solve for sinB using the equation we obtained earlier.

cos(A - B) = cosA cosB + sinA sinB

84/85 = (17/8) cosB + sinA sinB

We can rewrite the expression (17/8) cosB + sinA sinB as (17/8) (cosB + (1/17) sinA sinB), and then square both sides of the equation to obtain:

(84/85)^2 = (17/8)^2 (cosB + (1/17) sinA sinB)^2

Simplifying, we get:

(cosB + (1/17) sinA sinB)^2 = (84/85)^2 / (17/8)^2

cosB + (1/17) sinA sinB = ± (84/85) / (17/8)

cosB + (1/17) sinA sinB = ± 32/85

Now, we can substitute the values of secA and cos(A - B) to obtain:

cosA = 1/secA = 8/17

cosA cosB - sinA sinB = cos(A - B) = 84/85

Substituting these values into the expression we obtained earlier, we get:

(8/17) cosB - sinA sinB = 84/85

Multiplying both sides by 17/8, we get:

cosB - (17/8) sinA sinB = (17/8) (84/85)

Adding this equation to the previous equation, we get:

2 cosB = (17/8) (84/85) + (32/85)

Solving for cosB, we get:

cosB = [(17/8) (84/85) + (32/85)] / 2 = 83/85

Using the identity sin^2(A) + cos^2(A) = 1 and the fact that secA = 1/cosA, we can find the value of sinA:

sin^2(A) + cos^2(A) = 1

sin^2(A) = 1 - cos^2(A)

sinA = ±sqrt(1 - cos^2(A))

sinA = ±sqrt(1 - (8/17)^2) = ±15/17

Since secA = 17/8, we know that cosA is positive, and therefore sinA must also be positive. Therefore, sinA = 15/17.

Now, we can use the equation we obtained earlier to find the value of sinB:

cosB - (17/8) sinA sinB = (17/8) (84/85)

Substituting the values we obtained for cosB, sinA, and the given value of secA, we get:

83/85 - (17/8) (15/17) sinB = (17/8) (84/85)

Simplifying, we get:

sinB = [(83/85) - (17/8) (15/17) (85/84)] / [(17/8) (85/84)]

sinB = -24/85

Therefore, the value of sinB is -24/85.

Step-by-step explanation:

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} y=2\\x=9 \end{cases} \\\\\\ 2=\cfrac{k}{9}\implies 18 = k\hspace{9em}\boxed{y=\cfrac{18}{x}} \\\\\\ \textit{when x = 6, what's "y"?}\qquad y=\cfrac{18}{6}\implies y=3\)

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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The slope of the line on this graph with points (2, 5) and (4, 4) is equal to: D. =1/2.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (5 - 4)/(2 - 4)

Slope (m) = -1/2

In this context, we can reasonably infer and logically deduce that the slope of the line on this graph is equal to -0.5 or -1/2.

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Using a linear function, it is found that the total rental charge will be of $159.7.

-----------

A linear function has the following format:

\(y = mx + b\)

In which:

-----------

Thus, the linear function for the charge y in function of the number of miles x is:

\(y(x) = 0.16x + 52.50\)

-----------

\(y(670) = 0.16(670) + 52.50 = 159.7\)

The total cost of her trip will be of $159.7.

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Answer: maybe 75 cents

Step-by-step explanation:

Answer:

The cost of a candy bar is $0.75.

Step-by-step explanation:

With the provided first sentence preceded along the lines, 'total cost of a candy bar and a bag of chips is $1.70.'

--Intially, determine the quotient of 1.70 and the two quantities.

+ Result should be 0.85

Thus symbolizing .85 is the valid price of a candy bar and a bag of chips.

------------------------- Although, we are not done. -----------------------------------

Let's take the second sentence into account.

"If the cost of a candy bar and 2 bags of chips is $2.45, what is the cost of a candy bar?"

Determine the sum of .75 and (.85*2)

Alert: .75 came from subtracting 10 from the intial .85

Thus the sum is $2.45, which was stated earlier as the cost of a candy bar and 2 bags of chips.

The true statement about h(x) is (c) the function is decreasing on the interval (0, ∞)

The function is given as:

h(x) = -5√x

Next, we plot the graph of the function h(x)

From the attached graph, we can see  that:

As x increases from 0, the function value decreases

Hence, the true statement about h(x) is (c) the function is decreasing on the interval (0, ∞)

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Answer:

  -19.3%

Step-by-step explanation:

The percentage change in a value is computed from ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%

The decrease in 50 years is about 19.3%.

Answer:

Step-by-step explanation:

Given the inequality expression

sin(x)>cos(x)

Divide both sides by cos(x)

sin(x)/cos(x)>cos(x)/cos(x)

tan(x) > 1

x > tan⁻¹1

x > 45⁰

x > π/4

Hence the required solution is x > π/4

Answer:

see below

Step-by-step explanation:

center of circle = (2,-1)

r = 6 -2 = 4

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

so the equation will be:

( x - 2 )^2 + ( y +1 )^2 =16

Answer:

Simplify the solution: 13^1d^3

Step-by-step explanation:

Any expression raised to the power of one equal itself.

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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Between (5,10) and (15,70), a line runs. As a result, the slope of the line through the supplied locations is 3.

A line's steepness and direction are measured by the line's slope.

Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line.

A line's slope is determine by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-

P1 = (x1, y1) and P2 = (x2, y2)

Hence, Between (5,10) and (15,70), a line runs. As a result, the slope of the line through the supplied locations is 3.

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Answer:

1100100 base 2

85 base 10

2.522784 seconds

Step-by-step explanation:

Convert 100 from base 10 to the base 2

Reduce 100 by 2 until 0 ; the reminder obtained is written from bottom to top.

2 | 100

2 | 50 r 0

2 | 25 r 0

2 | 12 r 1

2 | 6 r 0

2 | 3 r 0

2 | 1 r 1

__0 r 1

Arranging from the bottom : 1100100 base 2

100 base 10 = 1100100 base 2

1010101 base 2 to base 10

1*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0

64 + 0 + 16 + 0 + 4 + 0 + 1 = 85 base 10

C)

1 mile = 5280 feets

Distance from earth to moon = 238900 miles

Distance in feets :

(5280 * 238900) = 1261392000 feets

Total distance from moon and back to earth = 2 * 1261392000 = 2522784000 feets

Using the relation :

Speed = distance / time

Speed = 1 feet per nano second

Distance = 2522784000 feets

1 = 2522784000 / time

Time = 2522784000 nano seconds

Converting to second :

2522784000 / 1000000000

= 2.522784 seconds

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Answer:

7.25

Step-by-step explanation:

29 divided by 4