When the swimming pool is 25% full, it takes 2250 cubic meters (m3) to fill it up from that point. When it is full, it can be emptied at a rate of 120 m3/h. How many hours does it take to empty an 80% full pool?

Answer:

5x(2x - 1)

Step-by-step explanation:

Factor 10x^2 - 5x:

Then:  10x^2 - 5x = 5x(2x - 1), since 5x is common to the two given terms

Answer:

\(10x^{2} -5x\) in factored form would be \(5x(2x-1)\)

Step-by-step explanation:

If we look at all of the terms in this binomial, we can see that they both have 5x in common.  We can now factor 5x out of the equation to get our answer.

To do this, we must divide both terms by 5x.

\(10x^2\) divided by \(5x\) is \(2x\), and \(-5x\) divided by \(5x\) is \(-1\).

So, our final answer is \(5x(2x-1)\).

The function f(x)= x2+9/1 is not defined at any real number.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Initially, functions represented the idealized relationship between two changing quantities.

The function f(x)= x2−16/1 is not defined at x values that are equal to 4 and -4, which can be expressed as a list as (-4, 4).

The function f(x)= x2+9/1 is not defined at any real number.

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The random number 0.23, when interpreted in the given frequency distribution of demand, would correspond to a demand of 1.

In order to interpret the random number 0.23, we need to refer to the frequency distribution of demand. A frequency distribution provides information about the different values of a variable and their corresponding frequencies or probabilities. However, since the frequency distribution of demand is not provided, we cannot determine the exact values and frequencies for each demand level.

Nevertheless, assuming that the demand levels in the frequency distribution are discrete and start from 0, it is likely that the random number 0.23 falls within the range of the cumulative probabilities for a demand level of 1. The cumulative probability represents the probability of observing a value less than or equal to a particular demand level.

To interpret the random number, we can compare it to the cumulative probabilities associated with each demand level. If the random number falls within the cumulative probability range of a specific demand level, then that demand level would be the interpretation. Since the random number 0.23 falls within the range for a demand of 1, we can conclude that the demand corresponding to the random number 0.23 is 1.

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Answer:

9m

Step-by-step explanation:

Both of them are divisible by 9 and 1 m

When you factor and pull out 9m, you will get

9m (1 + 3m)

The difference between an interval scale and a ratio scale is: an interval scale has equal intervals; a ratio scale has an absolute zero point; an interval scale does not. The correct option is: C.

An interval scale has an absolute zero point; a ratio scale does not. An interval scale is a type of scale where the distance between two points is equal. It is useful for representing numbers and performing arithmetic operations on them.

The interval scale measures the interval or the difference between the measurements of the attribute. A ratio scale, on the other hand, has an absolute zero point. The zero point is significant since it represents the absence of a particular characteristic.

A ratio scale has a similar measurement scale to an interval scale, but it has an absolute zero point. The ratio scale may perform mathematical calculations such as addition, subtraction, multiplication, and division with ease. The measurements can be multiplied or divided by a constant value, and the resulting ratios are meaningful.

The correct option is: C. an interval scale has an absolute zero point; a ratio scale does not.

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Answer:

2

Step-by-step explanation:

Answer:

270.4 miles

Step-by-step explanation:

First we will convert the 40 liter gas tank into gallons.

There are about 0.26 gallons in 1 liter, so we can find how many gallons are in 40 liters by solving \(40 * 0.26\), which equals to \(10.4\) gallons.
We can now find how far we can travel on a full tank.

\(\mbox{26 miles per gallon } * \mbox{10.4 gallons} = \mbox{270.4 miles}\)

This means we can travel 270.4 miles on a full tank.

That is the answer

- Kan Academy Advance

Answer:

3 not including the singles or 10 including the singles

Step-by-step explanation:

9 + 9

3 + 3 + 3 + 3 + 3 + 3

3 + 3 + 3 + 9

18 singles

3 singles + 5 packs of 3

6 singles + 4 packs of 3

9 singles + 1 pack of 9

9 singles + 3 packs of 3

3 singles + 2 packs of 3 + 1 pack of 9

6 singles + 1 pack of 3 + 1 pack of 9

The number of ways that you can buy 18 cookies will be 12.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Cookies are sold singly or in packages of 3 or 9.

The number of ways that you can buy 18 cookies will be given as,

⇒ 1 x 18

⇒ 1 x 15 + 3 x 1

⇒ 1 x 12 + 3 x 2

⇒ 1 x 9 + 3 x 3

⇒ 1 x 6 + 3 x 4

⇒ 1 x 3 + 3 x 5

⇒ 3 x 6

⇒ 1 x 9 + 9 x 1

⇒ 9 x 2

⇒ 3 x 3 + 9 x 1

⇒ 1 x 3 + 3 x 2 + 9 x 1

⇒ 1 x 6 + 3 x 1 + 9 x 1

The number of ways that you can buy 18 cookies will be 12.

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The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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Answer:

1

Step-by-step explanation:

Given,

Mass ( m ) = 500 g

Volume ( V ) = 500 ml

To find : Density ( D ) = ?

Formula : -

D = m / V

D = 500 / 500

D = 1 g/ml

Hence,

1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.

We are given :

We have to find the price of pillow in department store, which is equal to :

Increase in price of pillow = 60/100 × $7.5

= 0.6 × $7.5

= $4.5

Price of pillow in department store = $4.5 + $7.5

= 12

Hence, price of the pillow in department store is $12.

Answer:

46.75 dollars and 13 + 0.75s = x

Step-by-step explanation:

13+.75S=Monthly payment

13+.75(45)=46.75

If he downloaded 45 songs he would pay 46.75 dollars

If he downloaded S songs he would pay 13 + 0.75s = x

Step-by-step explanation:

if the green marble is probably rare the red marble should have a probability of 1/45

i hope you like it.

Answer:

B

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year,

then, solving our equation

I = 16500 × 0.042 × 5 = 3465

I = $ 3,465.00

The simple interest accumulated

on a principal of $ 16,500.00

at a rate of 4.2% per year

for 5 years is $ 3,465.00.

Answer:

Step-by-step explanation:

y = 50x - 165

The answer we get in the form of y = mx + b. The equation is y  = x/6 + 5

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

The given equation is :

x - 6y = -30

Given equation convert into y = mx + b

Now, According to the question:

x - 6y = -30

Subtract x on both sides:

-x + x - 6y = -30 - x

We get:

-6y = -30 - x

Divide by 6 on both sides:

-y = -x/6 - 30/6

-y = -x/6 - 5

Multiply by -1 on both sides, we get:

y = x/6 + 5

Now, the form of slope - intercept is y = mx + b

Hence, The value of m 1/6 and b = 5  

Therefore, The answer we get in the form of y = mx + b. The equation is y  = x/6 + 5.

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Answer:

4947.96928042 ( is the Answer).

Answer:

t=p(unit pf weight)

Step-by-step explanation:

t=plbs

total price is the price time the lbs of feed

(unit of weight may change) depending on question

The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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Answer:

4/15 deeper than the 1st dive

Step-by-step explanation:

make the 1st and 2nd dive have the same denotator. so

1st dive:5/15

2nd dive:9/15

subtract the 1st dive with the 2nd.

9/15-5/15=4/15

Answer:

4/15

Step-by-step explanation:

1/3 = 5/15

3/5 = 9/15

9-5 = 4

Answer:

the final answer is 80800 exactly

Answer: $80 880 US$

Step-by-step explanation:

Add all up

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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Similar figures are the same shape but not the same size. you can find out the scale by using parallel lines.

Answer:

*You could just look it up.

Here's what I found on google:

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.

So basically, similar figures are 2 figures that are the same shape.

They don't have to be the same size.

Answer:

2/3, 3/7, 2/5.

Step-by-step explanation:

The easiest way to tell which number is larger is by using a common denominator. For example, when comparing 2/3 and 3/7, the common denominator would be 21. I multiplied 3 by 7 to get 21, and multiplied 7 by 3 to get 21. Therefore, we must multiply the  numerator by the same number. Then, our two numbers are 14/21, and 9/21. Now, we can easily see that 2/3 (14/21) is the bigger fraction.

Example Math:

2/3·1/7 = 2/21

2/21·7 = 14/21

3/7·1/3 = 3/21

3/7·3 = 9/21

The mass flow rate is 0.56 kg/s

The formula for calculating the mass flow rate is expressed as;

m = W / (hf - hg)

Such that the parameters are expressed as;

Substitute the values, we get;

m = 90 MW / (2418 - 2257)

Subtract the values, we have;

m = 90/161

Divide the values, we get;

m=  0.56 kg/s

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Answer:

C

Step-by-step explanation:

$ 27,255.25 would be the accumulated value at the interest rate of 4.73% compounded monthly.$ 25,334 would be the accumulated value at the interest rate of 4.73% compounded semi-annually. $1921.25 is the amount that much more interest if he chose the monthly compounding interest rate instead of the semi-annually.

Compound interest is calculated as follows:

A = P \((1+\frac{r}{n} )^{nt\)

where A is the amount

P is the principal

r is the rate in decimal

n is the frequency of time interest is compounded

t is the time

a. P = $13,250

r = 4.73% or 0.0473

n = 12 since compounded monthly

t = 15 years

A = 13250  \((1+\frac{0.0473}{12})^{12*15\)

= 13250 \((1.004)^{180\)

= 13250 * 2.051

= $ 27,255.25

b. P = $13,250

r = 4.73% or 0.0473

n = 2 since compounded semi-annually

t = 15 years

A = 13250  \((1+\frac{0.0473}{2})^{2*15\)

= 13250 \((1.02185)^{30\)

= 13250 * 1.912

= $ 25,334

c. Difference between the interest in semi-annual and monthly compounded = 27,255.25 - 25,334

= $1921.25

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