It takes 12 hours to fill a pool with the inlet pipe. It can be emptied in 15 hours with the outlet pipe. If the pool is 1/2 full to begin with, how long will it take to fill it from there if both pipes are open?

Answer:

24

Step-by-step explanation:

You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]

Now isolate a on one side and solve for a.

[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]

Answer:

ITS D GOOD LUCK WITH YOUR HMK

Answer:

Step-by-step explanation:

slope=(-2-2)/(-2-6)=-4/-8=1/2

eq. of line is

y-2=1/2(x-6)

2y-4=x-6

2y=x-6+4

2y=x-2

or y=1/2x-1

Answer:

your answer is 3/15

Step-by-step explanation:

if im wrong pls let me know

Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!

Answer:

the answer based on the information provided is c + 8

Step-by-step explanation:

8 added to C is c + 8, since they are unlike terms

Answer:

7°

Step-by-step explanation:

simple arithmetic duh

Answer:

hey man i need a screenshot or something

Step-by-step explanation:

First, you should simplify the function expression.

3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k

In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder.  The first two terms clearly divide by x.  However, the last two do not.  In order for this to work out where k is constant, 5k would have to cancel out the  +15 term, leaving nothing to divide by x.

So: 15 + 5k = 0

5k = -15

k = -3

Answer:

3.657 and 7.657 to the nearest thousandth.

Step-by-step explanation:

x - y = 4

x^2 + y^2 = 72

From equation 1

x = y + 4 so

(y + 4)^2 + y^2 = 72

y^2 + 8y + 16 + y^2 - 72 = 0

2y^2 + 8y - 56 = 0

y^2 + 4y - 28 = 0

y = 3.657.

so x = 7.657.

Answer:

$32.50

Step-by-step explanation:

The equation for simple interest is

Simple Interest=P×r×n

where:

P=Principal amount

r=Annual interest rate

n=Term of loan, in years

​so

P=200

r=0.0325

n=5

so 200*0.0325*5=32.5

Answer:

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

Step-by-step explanation:

Answer:

=2691

Step-by-step explanation:

=2700+35−44

=2735−44

=2691

Answer:

Domain: (0,1,23)

Range: (0.35,1.35,2.35)

Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.

Answer:

A = 2 pi R^2 + 2 pi R h         total surface area

R^2 = 48       2 pi R = 8 * 6^1.2     given

56 pi 6^1/2 - 2 pi R^2 = 2 pi R h     f rom first formula

28 *  6^1/2 /  R - R = h          divide by 2 pi r

28 *  6^1/2 /  R  = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2

h = 7 * 2^1/2 - 4 * 3^1/2

Answer:

C) Little Rock’s temperature < Lincoln’s temperature

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer would be C.

Little Rock's temperature is less than Lincoln's temperature.

66 < 82

Answer:

72

Step-by-step explanation:

8×3²

=8×9

=72

so it is the answer

Answer:

$10.50

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

Just do 52.50 divided by 5 to find the amount she is paid per hour, and that’s 10.5. Meaning she gets paid $10.50 per hour.

26

the number line ticks count by 2

hope this helped :)

Step- by - Step Explanation:

Area of a circle=πr²

=3.14...×6²

=113.0973355292325

Approximately ≈113.1cm²

Please mark BRAINLIEST if I'm right.

Answer:

d. -6x + 2 = -15

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

[tex]y = a(x - 1)^2 - 6[/tex]

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]

or

[tex]a = -\frac{1}{9}[/tex]

Therefore, the equation of the parabola is

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]

The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².

Since we require I, making I subject of the formula, we have

dB/10 = log₁₀(I/I₀)

[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]

Substituting the values of the variables into the equation, we have

[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]

I = 3981.072W/m²

I = 3.981 × 10³ W/m²

So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Learn more about intensity of sound here:

https://brainly.com/question/4431819

Linear equations are represented by straight line.

The required graph is graph (a).

The given parameters are:

[tex]\mathbf{Rate =15}[/tex]

Let x represents the number of weeks, and y represents the number of words in week x.

So, we have:

[tex]\mathbf{y = Rate \times x}[/tex]

Substitute 15 for Rate

[tex]\mathbf{y = 15\times x}[/tex]

[tex]\mathbf{y = 15x}[/tex]

The above equation means that:

[tex]\mathbf{(x,y) = (0,0)(1,15),(2,30)....}[/tex]

The graph that represents the above ordered pair is graph (a).

Read more about graphs at:

https://brainly.com/question/20853486

Answer:

im lost

Step-by-step explanation:

;;..

Answer:

< 2 = 35 degrees and

<3 = 55 degrees

Step-by-step explanation:

<3 = 90-35

= 55 degrees

<1 = 90 degrees

<2 = 180 - 90 - 55

= 35 degrees

Answer:

Georgia's brother  > 176 Ounces

Step-by-step explanation:

He weighed LESS THAN 11 pounds, which is equal to 176 ounces. He must have weighed 175 ounces or less.

Answer:

0<x<176

Step-by-step explanation:

Lotion - Liquid

Suspension - semisolid

Capsule - solid

hope this helps: )

Answer:

9000

Step-by-step explanation: