2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.
If the drain lets water out at 1.5 gallons per minute, how long would it
take for the tub to overflow if both the faucet and drain were open at the
same time?

Answer:

The second option

Step-by-step explanation:

The second option is a 5-term polynomial

Hope this helps

Answer:

idioet.

Step-by-step explanation:

Answer:

p/q = x

Step-by-step explanation:

Answer:

158

Step-by-step explanation:

We know the supplement of angle 6 is 22, due to the fact that they are corresponding angles. Simply subtract 22 from 180 to get the answer. 180-22=158

Answer:

158 degrees

Step-by-step explanation:

Angle 6 has a same side interior relationship with the 22 degrees, so the sum of these angles are equal to 180 degrees.

To find the missing angle, subtract 180 by 22 degrees.

180-22= 158

Answer:

Step-by-step explanation:

1) 11 + 11

2) 17 - n

3) x^2

4) 3^3

5) 88 / 8

6) 6 + 11

7) the quotient of 35 and 5

8) the sum of 4 and 5

9) 10 squared

10) 3 less than x

13) p^3 + qp

2^3 + 4(2)

8 + 8 + 16

14) (y^3)z / 3

(5^3)3 / 3

125(3) / 3

375 / 3

125

15) 2 + (j - h)^2

2 + (5 - 3)^2

2 + (2)^2

2 + 4

6

Answer:

Your friend sold (5w + 1) subscriptions.

You sold (3w + 4) subscriptions.

The difference between what your friend sold and what you sold is

(5w + 1 ) - (3w + 4)

= 5w + 1 - 3w - 4

= 5w - 3w + 1 - 4

= 2w - 3

Answer: 2w - 3

If it is negative then it means the subscription sold by friend is less than the subscription sold by me and if it is positive then it means the subscription sold by friend is more than the subscription sold by me.

Brainliest plz

Step-by-step explanation:

1. 0.9862

2. 2.3

3. 7

4. 45.1

5. 18.735

Answer:

The equation is 6(x + 10) = 60, and the answer to the equation is 0

Step-by-step explanation:

Start by formatting the problem as [tex]6(x+10)=60[/tex]. Then, use the distributive property so that the problem is [tex]6x + 60 = 60[/tex]. After this, subtract 60 from both sides to isolate the variable, making the problem [tex]6x=0[/tex]. Finally, divide both sides by 0, which will get you an answer of [tex]x=0[/tex].

Answer:

Step-by-step explanation:

0 can't have a direction. It does not move. It has no speed component. Therefore 0 m/s south is not the answer.

45 m/s has no direction stated. It is just a speed, not a velocity.

45 m/s north is a velocity. It has both speed and direction.

Check the picture below.

Answer:

I don't under stand the question can u write more clearly

%95.79 because it is

Answer:

The answer is 0.6

Step-by-step explanation:

I find it helpful to setup a Venn Diagram when dealing with these. This chart is pretty useful when dealing with set notation.

Then, you can set this up as a system of equations. So, based on your problem, we can setup the system like this:

x + y + z = 0.8

y + z = 0.5

y = 0.3

If you solve this, you will get:

x = 0.3

y = 0.3

z = 0.2.

To get P(A), you x and y to get x + y = 0.6

Answer:

6mx^4-7x^4

Step-by-step explanation:

Step-by-step explanation:

okay, plot a point at (0,-5) then count 3 units up and 5 units to the right and put a point there

connect the points with a straight line

add arrows to each end of the line :)

Answer:

[tex]f(-3)\approx0.35[/tex]

Step-by-step explanation:

[tex]f(x)=7e^x[/tex]

[tex]f(-3)=7e^{-3}\approx0.35[/tex]

Answer:

7x-8

  3

Step-by-step explanation:

Answer:

2 1/3x - 2 2/3

Step-by-step explanation:

1/3 x 5

1/3 x -8

and add 2/3x to the mix

so

1 2/3x - 2 2/3x + 2/3x = 2 1/3x - 2 2/3

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]

The square of the difference between the grade point and the mean;

[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]

The standard deviation of the grade points is calculated as follows;

[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

Learn more about standard deviation here: https://brainly.com/question/12402189

Answer:

[tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex]

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

-6x +7y= -62

Rewriting this equation into the slope-intercept form:

7y= 6x -62

[tex]y = \frac{6}{7} x - \frac{62}{7} [/tex]

The product of the slope of 2 perpendicular lines is -1.

Let the slope of the unknown line be m.

[tex]m( \frac{6}{7} ) = - 1[/tex]

[tex]m = - 1 \div \frac{6}{7} [/tex]

[tex]m = - \frac{7}{6} [/tex]

Substitute the value of m into the equation:

[tex]y = - \frac{7}{6} x + c[/tex]

To find the value of c, substitute a pair of coordinates into the equation.

When x= 8, y= -3,

[tex] - 3 = - \frac{ 7}{6} (8) + c[/tex]

[tex] - 3 = - \frac{28}{3} + c[/tex]

[tex]c = \frac{28}{3} - 3[/tex]

[tex]c = \frac{19}{3} [/tex]

[tex]c = 6 \frac{1}{3} [/tex]

Thus, the equation of the line is [tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex].

Answer:

D:x=2

Step-by-step explanation:

Rest of the triangle is just a distraction. The distance from B to any point in the bysector is the same as the distance from C to the same point (you can look at BDF and CDF and notice they're congruent by SAS). at this point it's just solving

[tex]2x + 3 = 4x - 1 [/tex]

which has 2 as a solution

Answer:

172 in

Step-by-step explanation:

Applying the inscribed angle theorem, the missing measures are:

measure of arc TR = 106°

measure of arc TL = 74°

m∠L = 50°

m∠R = 37°

m∠RTV = 37°

Measure of an inscribed angle = half the measure of the arc it intercepts

Central angle = measure of intercepted arc

We are given the following:

LR and TV are diameters of the circle O.

m∠TOR = 106° (central angle)

Find measure of arc TR:

measure of arc TR = m∠TOR

measure of arc TR = 106°

Find measure of arc TL:

measure of arc TL = 180° - m∠TOR

measure of arc TL = 180° - 106°

measure of arc TL = 74°

Find m∠L:

m∠L = ½(measure of arc TR)

m∠L = ½(106°)

m∠L = 50°

Find m∠R:

m∠R = ½(measure of arc TL)

m∠R = ½(74°)

m∠R = 37°

Find m∠RTV:

m∠RTV = ½(measure of arc RV)

m∠RTV = ½(180 - 106)

m∠RTV = ½(74)

m∠RTV = 37°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/14267250

Answer:

6.66e+33

Step-by-step explanation:

Is this a real question??

Answer:

t = 11/21

Step-by-step explanation:

Hope this helps!!

Answer:

Step-by-step explanation:

Answer:

y=-1x-6

Step-by-step explanation:

========================================================

Explanation:

Recall that y = mx+b is the slope intercept form of any linear equation

The given equation has m = 4/5 as the slope. Flip the fraction to get 5/4 and then flip the sign to get -5/4

The original slope is 4/5 and the perpendicular slope is -5/4. Note how the slopes multiply to -1.

The slope for the answer is -5/4 and the y intercept for the answer is -8

Therefore, the perpendicular line is y = (-5/4)x - 8

Answer: 70

Step-by-step explanation:

12*10 = 120-50 = 70