A swimming pool is filled with 8,520 gallons of water. The pool begins to drain at a rate of 12 gallons per minute. Which equation can be used to find the number of minutes, m, it will take for the pool to be half full?

Answer:

The first one, because the x values are not repeated in a data set.

The measure of angles can be in degrees, minutes of arc, and seconds of arc, with the example given (9:00 a.m. clock hands) resulting in a 90-degree angle.

The measure of angles is often given in degrees, minutes of arc, and seconds of arc.

These units subdivide a degree into finer measurements, where one degree equals 60 minutes and one minute equals 60 seconds.

One example of using these measurements is in Astronomy, where astronomers measure the angular separation of stars in the sky.

Angles are crucial to understanding the positions and movements of celestial bodies.

Returning to the practice problem provided: 'What is the angle in degrees between the hour hand and the minute hand of a clock showing 9:00 a.m.?', we can calculate this using the understanding that each hour on the clock represents 30 degrees (360 degrees / 12 hours).

At 9:00 a.m., the hour hand is on the 9 and the minute hand is on the 12, creating a 90-degree angle between them.

Answer:

9 inches

Step-by-step explanation:

The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below

The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size

population standard deviation = 36

sample size = 144

standard deviation of the sample mean = 36/ sqrt(144)

                                                                   =36/12

                                                                   =3

The margin of error is  the number of standard deviations above  the mean * the standard deviations

margin of error  = 3 * 3

                           = 9 inches

Answer:

sonk

Step-by-step explanation:

honey p

Answer:

1) Her final bill: 334,5+ the tax

the tax = 334,5*8/100= 26,76 $

Her final bill = 334,5+ 26,76= 361,26 $

2) The gift card only has 350$ and the bill is 361,26

therefore she doesn't have enough money to pay for the sound bar

Step-by-step explanation:

Answer:

First I'm not exactly sure what you're asking but the equation for slope is:

Y2-Y1/X2-X1=M

Step-by-step explanation:

M is your slope

X1 and Y1 represent your first point

X2 and Y2 represent your second point

To translate you are finding the rate of change (slope) between two points

Answer: Slope = ∆y/∆x = y2-y1/x2-x1

Step-by-step explanation:

The slope of a line which is also known as the gradient can be gotten by taking the ratio of the change in coordinate of y-axis to the x-axis of the line.

Change in y axis = y2-y1

Where y2 and y1 are final length and initial length respectively on the y axis

Change in x axis = x2-x1

Where x2 and x1 are final length and initial length respectively on the x axis.

The slope of the line therefore gives;

Slope = ∆y/∆x = y2-y1/x2-x1

2. CD = CD , Reflexive Prop.

3. BC = DE, Subtraction Prop.

Answer:

C

Step-by-step explanation:

This question asks us to find the difference in output or y values or consecutive x-values (values 1 unit away from each other). This is just a rate of change or slope. We will use the slope formula:

Slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We substitute [tex]x_1=-3\\y_1=-57.6[/tex] and [tex]x_2=-2\\y_2=-36.4[/tex]

[tex]m=\frac{-36.4-(-57.6)}{-2-(-3)}[/tex]

[tex]m=\frac{-36.4+57.6}{-2+3}=\frac{21.2}{1} =21.2[/tex]

Answer C.

Answer:

1.  16

2.  -4

Step-by-step explanation:

First factor the expression

lim x→1  (x^3 + 5x^2 + 3x-9)/(x-1)

lim x→1  (x-1) (x+3)^2/(x-1)

Canceling the x-1  in the top and bottom

lim x→1   (x+3)^2

Let x=1

lim x→1   (1+3)^2 = 4^2 = 16

2.  lim x→0 (x^2 -6x+8) /(x-2)          

First factor the expression

    lim x→0 (x-4) (x-2) /(x-2)        

Canceling the x-2  in the top and bottom

lim x→0 (x-4)

Let x=0

lim x→0   (0-4) = -4

Filling in the table

x     -.1      -.01       -.001     .001     .01     .1

f(x) -4.1  -4.01    -4.001   -3.999   -3.99  -3.9

I know this isn't helpful, but I REALLY need help on this question...

Given: f(x) = x^2 + 7x + 10. From the Rational Root Theorem, we know p=10 and q=1. List all potential roots using the ratio p/q.

Answer:

A

Step-by-step explanation:

given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 2 when x = 10

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x ← equation of variation

when x = 40, then

y = [tex]\frac{1}{5}[/tex] × 40 = 8 → A

The value of y when x = 40 with the same proportion will be 8 thus option (A) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

If y varies directly with x.

y ∝ x

y = kx

k = y/x

Thus, k will be the same for both conditions.

2/10 = y/40

1/5 = y/40

40/5 = y

8 = y

Hence "The value of y when x = 40 with the same proportion will be 8 ".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

Answer:

In quadrilateral LMNO, LO ∥ MN.

ML ∥ NO

LO ≅ MN

Answer:

1 & 3 is correct on edg.

Answer:

30:4,200

Step-by-step explanation:

Answer: A

Step-by-step explanation:

[tex]\overline{AB}[/tex] has a length of 6

[tex]\overline{A'B'}[/tex] has a length of 6 + 12 = 18, which is 3 times the length of [tex]\overline{AB}[/tex]

B = B' so this will be the center point

⇒ center B and a scale factor of 3

Answer:

Option A is the answer.

Step-by-step explanation:

Triangle A'B'C' is a dilation of triangle ABC.

We can apply the formula to get the scale factor as

Scale factor = [tex]\frac{\text{One side of triangle A'B'C'}}{\text{Corresponding side of triangle ABC}}[/tex]

= [tex]\frac{A'B'}{AB}[/tex]

= [tex]\frac{AB'+AA'}{AB}[/tex]

= [tex]\frac{6+12}{6}[/tex]

= [tex]\frac{18}{6}[/tex]

= 3

Therefore, ΔABC has been dilated with a scale factor of 3 about the point B as the center.

Option A is the answer.

Answer:

251

Step-by-step explanation:

2008/8

Answer:

16064

Step-by-step explanation:

2,008 x 8= 16064

Answer:

(f + g)(x) = 5x^2 + 4x + 6

Step-by-step explanation:

The given functions are f(x) = 4x + 6 and g(x) = 5x^2

(f + g)(x) = f(x) + g(x)

= 4x + 6 + 5x^2

= 5x^2 + 4x + 6

Thank you.

Answer:

y =65

Step-by-step explanation:

We will call the unknown angle in the triangle x

Angle x plus 130 form a straight line

x+130 = 180

Subtract 130 from each side

x+130-130 = 180-130

x = 50

The three angles in the triangle add together to make 180 degrees

x+y+y = 180

We know angle x = 50

50 + 2y = 180

Subtract 50 from each side

50+2y-50 = 180-50

2y = 130

Divide each side by 2

2y/2 = 130/2

y = 65

Answer:

The period is [tex]\pi[/tex].

Step-by-step explanation:

The answer is determined by finding the length of 1 cycle of the function. Trig functions sine and cosine have a wavy form. One starts and ends int he middle - sine. The other starts above and stops above- cosine. Regardless of the function, the period will be the same because the period asks "how fast does this function complete 1 wave?"

If cosine we start at one of the top points, trace the graph till we reach the same y-value again. The period is the time or difference in x-values. For instance if I started at the x-value [tex]\frac{\pi }{2}[/tex] and ended at [tex]\frac{3\pi }{2}[/tex] then I'd subtract them.

[tex]\frac{3\pi }{2}[/tex]-[tex]\frac{\pi }{2}[/tex]=[tex]\frac{2\pi }{2}[/tex]=[tex]\pi[/tex]

The period is [tex]\pi[/tex].

Answer:

P =44 + 4xy

Step-by-step explanation:

To find the perimeter of a triangle, add up the three sides

P = 29+15+4xy

P =44 + 4xy

Answer:

Step-by-step explanation:

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Answer:

The experimental probability is 7/12 or 58.3%

Step-by-step explanation:

In order to find the experimental probability, we just look at the amount of times it happened in our test. The fact that the actual probability is 50% does not matter when looking at experimental numbers.

Answer:

y = 3x + C

y = mx + 5

y = 3x + 5

Step-by-step explanation:

A. The standard form for lines with slope = 3 is

y = 3x + C where C is the y-intercept and can be any number

B. The standard form for lines with y-intercept = 5

y = mx + 5 where m is the slope and can be any number

C. The only line with slope = 3 and y-intercept =5

y = 3x + 5

There is only one line because both m and C are given.

Answer:

Step-by-step explanation:

a is y=3x+c; c is the y-intercept

b is y=mx+5; m is the slope

c is y=3x+5 as it is the only line with both slope = 3 and y-intercept =5

C it the answer because since heads hit 14 times it haves a higher percent of hitting heads again.

Answer:

<T = 83

Step-by-step explanation:

In a parallelogram  <M = < P   and < N = <T  (opposite angles are congruent)

We also know that <M + <N = 180  ( consecutive angles are supplementary)

<M + <N = 180

6x+10  + 5x+10.5 = 180

Combine like terms

11x+20.5 = 180

Subtract 20.5 from each side

11x +20.5-20.5 = 180-20.5

11x = 159.5

Divide each side by 11

11x/11 = 159.5/11

x=14.5

We can find <N

<N = 5x+10.5

    = 5(14.5)+105

   =72.5 +10.5

   = 83

<N = <T = 83

Answer: Correct Option is "C"

( - ∞ , 3) U (3, ∞ )

Step-by-step explanation:

The function f/g is defined as

( x + 8) / (x -3)

Domain of the function is the set of values which the independent variable can assume.

Clearly in the above function x cannot assume the value 3, otherwise the function would become undefined.

So domain of the function is

( - ∞ , 3) U (3, ∞ )

Hope it helps.

Thank you.

Answer:

Mid point = [tex](\frac{5}{2} ,5)[/tex]

Step-by-step explanation:

We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.

The coordinates of the end points are: A (-1, -2) and B (6, 12).

We know the formula of the mid point:

Mid point = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

So putting in the given values to find the mid point of line segment AB:

Mid point = [tex](\frac{-1+6}{2} ,\frac{-2+12}{2} )[/tex] = [tex](\frac{5}{2} ,5)[/tex]

Answer:

7.15x + 3.55y + 20 = weekly income

Step-by-step explanation:

7.15x + 3.55y + 20 = weekly income