Question 2/3 A swimming pool holds 18,000 gallons of water. A pool
company can drain the water in a pool at a rate of 60 gallons per minute. 300
gallons have already been drained. How long will it take to drain the remaining
water in the pool?

Answer:

A: [tex]x^{2} \leq 16[/tex]

A is a solution set of the inequality.  

This means:

[tex]x^{2} \leq 4[/tex]

∩ (AND)

[tex]x^{2} \geq -4[/tex]

Which can also be written as:

Interval notation: x ∈ [-4, 4]

Set notation:  {x | [tex]-4 \leq x \leq 4[/tex] }

Answer:

The answer is n = 11.

Step-by-step explanation:

Answer:

Step-by-step explanation:

n + 5 =  -1

 -16

n + 5 = -1 (-16)

n = 16 - 5

n = 11

Answer:

46:74

Step-by-step explanation:

csc(2x) + cot(2x) = 1 / sin(2x) + cos(2x) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / (2 sin(x) cos(x))

csc(2x) + cot(2x) = cos²(x) / (sin(x) cos(x))

csc(2x) + cot(2x) = cos(x) / sin(x)

csc(2x) + cot(2x) = cot(x)

Answer:

y=-5x+1

Step-by-step explanation:

plug the coordinate points to the equation, and find your y intercept

Answer:

Jade and Jackson

The total payback of this loan = $438,782.72

The interest of this total payback is $228,782.72

Step-by-step explanation:

a) Data and Calculations:

Mortgage = $210,000

Interest rate of mortgage = 5.7%

Monthly payment = $1,218.84

Using an online calculator for Mortgage Payoff, the Original Payoff Schedule  is:

Monthly Pay = $1,218.84

Total Payments = $438,782.72

Total Interest = $228,782.72

Answer:

Step-by-step explanation:

1218.84⋅12⋅30=$438,782.40

The total interest paid is the total payback less the amount borrowed.

$438,782.40−$210,000=$228,782.40

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

lol this was really funny

scientific notions have to be less than 10 and more than 1

1. 68600 / 10000 = 6.86

A. 6.86 x 10^4

2. 0.082 x 100 = 8.2

C. 8.2 x 10^-2

3. 0.068 x 100 = 6.8

D. 6.8 x 10^-2

4. 0.93 x 10 = 9.3

C. 9.3 x 10^-1

5. 0.000923 x 10000 = 9.23

D. 9.23 x 10^-5

11 members and we have to pick three without replacement.

[tex]_{11} C_{3}[/tex] = 165

There are 165 possible sets of officers

Answer:

x = 15/8

Step-by-step explanation:

x/3 = 5/8

Using cross products

8x = 3*5

8x = 15

Divide each side by 8

8x/8 = 15/8

x = 15/8

X= 1 7/8

Step-by-step explanation:

Step-by-step explanation:

Pattern 1 :

Arithmetic Sequence

Common term = 4

Pattern 2 :

Geometric Sequence

Common ratio = 2

Answer:

pattern 1 arithmetic The common difference is 4. The pattern starts at 3 and always adds 4 to get to the next term.

pattern 2 geometric The common ratio is 2. The pattern starts at 3 and always multiplies by 2 to get to the next term.

Step-by-step explanation:

The range of the given magnitude is 10.

The range is the difference between the largest value and the smallest value, is the simplest measure of variability in the data. The range is determined by only the two extreme data values.

Here, given data;

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Range = Upper limit - Lower limit

           = 10 - 0

           = 10

Thus, the range of the given magnitude is 10.

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Answer: 6

Step-by-step explanation:

If you convert 3/4 into eighths then it would be 6/8's so the baker can make 6 batches.

Answer:  336 is the sum of the non-median scores

Step-by-step explanation:  if the sum of 5 scores is 420, the average is 420/5 = 84  

That is also the median to be subtracted:  420-84= 336

Answer:

the third one

-28x-7y=-28

2x+7y=28

Step-by-step explanation:

for the first one, the 2x+7y=28 is being multiplied by -1, but its not being distributed correctly (28 is incorrect, it should be -28)

for the second one, the 2x+7y=28 is being multiplied by -4, but again, is not being distributed correctly (112 is incorrect, it should be -112)

for the fourth one, 4x+y=4 is being multiplied by -2, but its not being distributed correctly (8 is incorrect, it should be -8)

The system of equations equivalent to the given system is -28x -7y = -28, 2x + 7y = 28, the correct option is C.

The system of equation is set of equations which have a common solution.

The system of equation is,

4x +y = 4

2x +7y =28

The equations can be solved using Substitution method, elimination method and by plotting the graph.

In substitution method, the value of one variable from an equation is substituted in the other equation.

4x +y = 4

y = 4 - 4x

This will be substituted in the equation 2

2x + 7 (4-4x) = 28

2x +28 - 28x  = 28

-26x = 0

x = 0

Putting this value in equation 1 , y = 4.

In elimination method, one of the variable is eliminated to solve the system of equation.

To eliminate y, the equation 1 will be multiplied by -7,

-28x -7y = -28

2x + 7y = 28

This is equivalent to the original system of equation.

Adding the equations will yield

-26x = 0

x = 0

y = 4.

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Answer:

-2 and 13

Step-by-step explanation:

the pattern here is annoying to find, but there is one. the first change is -4, then +6, then -7, then +9. The pattern starts at -4, then after that it increases by 2 and changes from a negative to a positive (and can change the other way). After that change it increases by one and changes from a positive to a negative. Essiently, the pattern is add 2 to the pattern and change the sign, then add 1 to the pattern after that and change the sign, infinitely repeating, with the two after 11 being -2 (gotten from +12 because you add 2 to -10 and change the sign) and 13 (gotten from -13 because you add 1 and change the sign of +12).

Answer:

3/8

Step-by-step explanation:

find the Least Common Denominator, change the numerators as needed, divide, then simplify.

Answer:

the answer is 3/8

Step-by-step explanation:

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Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.

Let's define the variables we will be using.

We know that "Mary is twice as old as Helen’s age"

Then:

m = 2*h

"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."

(m + 4) = 4*(h - 8)

Then the system of equations is:

m = 2*h

(m + 4) = 4*(h - 8)

To solve it, we can replace m by 2*h in the second equation, so we get:

(2h + 4) = 4*(h - 8)

2*h + 4 = 4*h - 32

4 + 32 = 4*h - 2*h

36/2 = h = 18

And we know that:

m = 2*h = 2*18 = 36

So Helen is 18 years old, and Mary is 36 years old.

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Answer:

48.9%, and 489/1000

Step-by-step explanation:

It is currently written as a decimal. To convert to a percent, simply move the decimal place over to the right by 2 places. For the fraction, calculate the place value of the last digit, which in this case, is the thousandths. So, the fraction would be 489/1000

Answer:

the answer is number 3. 3 ( 6+1 )

Answer: the expression (120/100)*80 results in 80% of 120

Step-by-step explanation:

Answer:87/8

Step-by-step explanation:cause i smart :D

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Answer:

She need to divide 24 by 2 to get 12. She can fill 12 tortillas

Step-by-step explanation:

Answer:

uh

Step-by-step explanation:

gygygyg

Answer:

[tex]\huge{\boxed{\sf{ 2 }}}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( 1 , -5 ) [tex]\longrightarrow[/tex] ( x1 , y1 )

B ( 4 , 1 ) [tex]\longrightarrow[/tex] ( x2 , y2 )

Finding the slope :

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{1 - ( -5 )}{4 - 1}[/tex]

Slope = [tex]\frac{1+5}{4-1}[/tex]

Slope = [tex]\frac{6}{3}[/tex]

Slope = [tex]2[/tex]

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

-z/e

Step-by-step explanation:

-x/y = -z/e