Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is positive, and when water is moving from a tank the flow rate is negative. Each tank begins with 250 gallons of water. The flow rate for the large tank is recorded as –6 gallons per minute. After a period of 25 minutes, which integer represents the amount of water left in the large tank? –400 –100 100 400

The number of barrels of crude oil required to run the car for a year is 61.4

The information given is as follows;

Percentage of crude oil processed into gasoline = 45%

The distance achieved per gallon by car = 31 mi/gal

Distance driven per year = 36,000 miles

Hence, the number of Gasoline usage in one year,

[tex]\text{Gasoline usage in one year} = \dfrac{\text{Distance drievn per year}}{\text{distance achieve per gallon by car}}[/tex]

[tex]\text{Gasoline usage in one year} = \dfrac{36000 \ \text{miles}}{31\ \text{miles/gallon}}[/tex]

[tex]\text{Gasoline usage in one year} = 1,161 \ \text{gallons}[/tex]

Here, Percentage of crude oil processed into gasoline = 45%

Hence, where 45% of the crude oil produces 1000, the volume of crude, x, from which the gasoline is sourced becomes;

[tex]x \times 45\% = 1161[/tex]

[tex]x \times \dfrac{45}{100} = 1161[/tex]

[tex]45x = 1161\times 100[/tex]

[tex]45x = 1,16,100[/tex]

[tex]x = 2580[/tex] gallons of crude

Since 1 barrel of crude oil is approximately 42 gallons of crude oil.

Hence, we have;

[tex]2580 \ \text{gallons of crude }[/tex] = [tex]\dfrac{2580}{42} \text{ barrels of crude}[/tex]

= [tex]61.4[/tex]  [tex]\text{ barrels of crude}[/tex]

Hence the number of barrels of crude oil required to run the car for a year = [tex]61.4[/tex]  [tex]\text{ barrels of crude}[/tex]

To learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ12

Approximately 61.44 barrels of crude oil are required to run your car for a year.

To determine the number of barrels of crude oil required to run your car for a year, we'll need to calculate the total amount of gasoline consumed and then convert that into the equivalent volume of crude oil.

Volume of a barrel of crude oil: 42 gallons

Approximately 45% of crude oil is processed into gasoline

Car fuel efficiency: 31 miles per gallon

Distance driven in a year: 36,000 miles

First, let's calculate the total amount of gasoline consumed in a year. We'll divide the total distance driven by the car's fuel efficiency:

Gasoline consumed = Distance driven / Fuel efficiency

Gasoline consumed = 36,000 miles / 31 miles per gallon

Gasoline consumed ≈ 1161.29 gallons

Next, we need to calculate the equivalent volume of crude oil required to produce this amount of gasoline. Since only approximately 45% of crude oil is processed into gasoline, we'll multiply the gasoline consumed by the reciprocal of 45% (or 0.45) to account for this conversion:

Equivalent volume of crude oil = Gasoline consumed / Conversion factor

Equivalent volume of crude oil = 1161.29 gallons / 0.45

Equivalent volume of crude oil ≈ 2580.64 gallons

Finally, to determine the number of barrels of crude oil required, we'll divide the equivalent volume of crude oil by the volume of a barrel (42 gallons):

Number of barrels of crude oil = Equivalent volume of crude oil / Volume of a barrel

Number of barrels of crude oil = 2580.64 gallons / 42 gallons

Number of barrels of crude oil ≈ 61.44 barrels

for such more question on volume

https://brainly.com/question/6204273

#SPJ8

Answer:

B. y = 3x + 4

Step-by-step explanation:

Step 1: Find slope-intercept form of 1st equation

2y = 6x + 4

2y/2 = 6x/2 + 4/2

y = 3x + 2

A parallel line has the same slope but different y-intercept:

y = -3x + 3 (No, different slope)

y = 3x + 4 (Yes, same slope, different y-int)

y = x + 3 (No, different slope)

y = -2x - 3 (No, different slope)

y = 1/2x + 3 (No, different slope)

Answer:

1. Red red blue blue

2. Red blue red blue

Step-by-step explanation:

A 50 percent chance

Answer:

(x - [-1])² + (y - [-1])² = [13]

Step-by-step explanation:

If P and Q are the end-points of the diameter PQ, midpoint of the segment PQ will be the center of the circle. (Definition of the center of a circle)

Midpoint of a segment having extreme ends [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex]

Coordinates of the center = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Since, extreme ends of the diameter are P(-4, -3) and Q(2, 1)

Center of the circle = [tex](\frac{-4+2}{2},\frac{-3+1}{2} )[/tex]

                                = (-1, -1)

Radius of the circle = Distance between the center and Q,

Since distance between the two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Radius of the circle = [tex]\sqrt{(-1-2)^2+(-1-1)^2}[/tex]

                                = [tex]\sqrt{9+4}[/tex]

                                = [tex]\sqrt{13}[/tex]

Equation of the circle will be,

(x - h)² + (y - k)² = r²

Where (h, k) is the center and 'r' is the radius of the circle,

(x - [-1])² + (y - [-1])² = [13]

Answer:

b. S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."

Step-by-step explanation:

The most appropriate sample space S for the possible outcomes will be S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."

Option B is correct.

The most appropriate sample space S for the possible outcomes will be S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."

Learn more here; https://brainly.com/question/13604758

Answer:

(Round your answer up to the nearest whole number.)(b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.)

Step-by-step explanation:

Answer:

1. Compound Interest

2. Simple Interest

Step-by-step explanation:

Simple Interest multiplies the interest rate on the principal rate by the number of days.

Compound Interest multiplies the interest rate on the principal rate and existing rate by periods. 

Answer:

:)

Step-by-step explanation:

Answer:

B. No; the graph fails the vertical line test.

Step-by-step explanation:

If you hold a pencil up to the graph, the parabola would technically touch the pencil at more than one point. That means it failed the test, and therefore it is not a function.

hope this helped :)

Answer:

0.9 (9/10)

Step-by-step explanation:

(see picture)

Answer: 1) 21-25

               2) III

               3) II

               4) 8

               5) 4

Step-by-step explanation:

Question 1: Which numbers are missing?

            The previous interval ends at 20 the following interval starts at 26.

            The missing interval is 21 - 25

Question 2: How many tally marks to draw?

           The frequency is given as 3, so draw three tally marks: III

Question 3: How many tally marks to draw?

           The frequency is given as 2, so draw two tally marks: II

Question 4: What is the frequency?

          There are eight tally marks so the frequency is 8.

Question 5: What is the frequency?

          There are four tally marks so the frequency is 4.

Answer:

[tex] 4x-12= 16 +8x[/tex]

And we can subtract 4x in both sides and we got:

[tex] -12 = 16 +4x[/tex]

Now we can subtract in both sides 16 and we got:

[tex] -28 = 4x[/tex]

And if we divide both sides by 4 we got:

[tex] x = -7[/tex]

And the best solution would be:

-7

Step-by-step explanation:

For this case we assume the following equation:

[tex] 4x-12= 16 +8x[/tex]

And we can subtract 4x in both sides and we got:

[tex] -12 = 16 +4x[/tex]

Now we can subtract in both sides 16 and we got:

[tex] -28 = 4x[/tex]

And if we divide both sides by 4 we got:

[tex] x = -7[/tex]

And the best solution would be:

-7

120N

f= mgh

=o. 6x10x20

= 120N

Step-by-step explanation:

given,

mass ( m)=0.6kg

gravity=9.8 m/s^2

by the formula of force,

f= ma

=0.6×9.8

therefore force is 5.88 n.

Answer:

It should be D if not Than A

Answer:

it should be D

Step-by-step explanation:

Answer: Area is 1840units²

Step-by-step explanation:

From the given information,

Firstly, area of a rectangle is given as

A = l × b ie, length multiply by the breadth.

One of the side of the rectangle is known , AD = 16 , now to calculate the other side, we need some calculations.Since FE = 23 and

FD = DE ,,therefore,

DE = 23/2.

From the information, DE = 1/10 of DC. We now find DC the required side for finding the area of the rectangle by simple equation. Since DE = 23/2 , the equation now looks like this to get DC

23/2 = DC/10. Now , solving this

2DC = 23 × 10

2DC = 230

DC = 230/2

= 115.

Now the area of the rectangle will be

A = 16 × 115

= 1840units²

Answer: 30 percent of people who do not brush theit teeth every night.

Step-by-step explanation:

Given : 7 out of 10 people brush their teeth every night.

That means 3 out of 10 people do not brush their teeth every night. (7-10=3)

Now, the percent of people who do not brush their teeth every night = [tex]\dfrac{\text{Number of people do not brush their teeth}}{\text{Total people}}\times100\%[/tex]

[tex]=\dfrac{3}{10}\times100\%\\\\=30\%[/tex]

Hence, 30 percent of people who do not brush theit teeth every night.

Answer:

12pi(8-pi), or

183.158 to third decimal place

Step-by-step explanation:

The geometry is indicated in the attached figure.

A. by integration

We will find the volume of the solid by the method of shells, i.e. we will integrate strips parallel to the axis of rotation to form many thin shells, then integrate to get the sum of all these shells.

For each shell, of thickness dy, we integrate strips of length located at y

L(x) = y(x)

and area

L(x)dy

Each strip is at a distance of (4-y) from

for which the volume of each shell equals

dV = 2*pi*(4-y)*L(x)dy = 2*pi*(4-y)*y(x) dy

The total volume of the solid can be obtained by integrating y from 0 to pi

integral( dV ) from 0 to pi

= integral (2*pi*(4-y)*y(x) dy) for y from 0 to pi

= 12*pi(-sin(y)+y*cos(y)-4*cos(y)) for y from 0 to pi

=12(8-pi)*pi

= 183.158

B. Using Pappus theorem

Pappus theorem simplifies the calculation of volume of revolution by multiplying the area of the rotating region by 2pi times the distance between the centroid and the rotation axis.

Here the area of the figure is A=2*6=12, (2 is the area under the sine curve from 0 to pi), or

A = integral (6sin(x))dx, x from 0 to pi

= 6 cos(x), x from 0 to pi

= 6(1- (-1))

= 12

Distance from centroid to axis of rotation = (4-pi/2)

Volume = 2*pi*A*(4-pi/2) = 2*pi*12*(4-pi/2)

= 12pi(8-pi)

=183.158    as before

Answer:

Step-by-step explanation:

If the sides of triangle ABC inscribed in a circle are equidistant from the center, it means that the distance of each side from the center of the circle is the same. This means that the distance from the center of the circle to any point on a side of the triangle is the same for all 3 sides of the triangle.

If Tricia says that triangle ABC must be equilateral, then

A. Tricia is correct because the sides of the triangle are congruent since they are equidistant from the center of the circle,

Answer:

Step-by-step explanation:

Given:

  AC + CB = 33

  CB = 2AC

Find:

  AC, CB

Solution:

Using substitution, we have ...

  AC +2AC = 33

  AC = 33/3 = 11

  CB = 2·11 = 22

AC = 11 cm; CB = 22 cm.

Answer:

2/5

Step-by-step explanation:

Let's find the probability of each condition first.

For P(4), there is only one option: 4. This is 1 out of 5.

For P(even), this includes 4 and 6. However, we already had 4 from our last condition so we can remove this option. This is again 1 out of 5.

Adding them together, we will get 2/5.

The answer is 2/5

Answer:

It might be 4 * [tex]7^{1/2}[/tex] * [tex]x^{3}[/tex]

Answer:

[tex] |w-0.3| \leq 0.0003[/tex]

And solving we got:

[tex] -0.0003 \leq w-0.3 \leq 0.0003[/tex]

[tex]0.3-0.0003 \leq w \leq 0.3+0.0003[/tex]

[tex] 0.2997 \leq w \leq 0.3003[/tex]

Step-by-step explanation:

For this case we can define the following notation:

[tex] W[/tex] represent the width

And we want a maximum error of 0.0003 so we can set up the following equation:

[tex] |w-0.3| \leq 0.0003[/tex]

And solving we got:

[tex] -0.0003 \leq w-0.3 \leq 0.0003[/tex]

[tex]0.3-0.0003 \leq w \leq 0.3+0.0003[/tex]

[tex] 0.2997 \leq w \leq 0.3003[/tex]

Answer:

the answer is 230 calories :)

Step-by-step explanation:

divide 160 by 16 to find out how much 1-oz is then times it by 23 to get the amount of calories in 23-oz.   There you go I hope it helps :)

Answer:

The equation in point slope form is [tex]y - 47\,in = \left(-3\,\frac{in}{h}\right)\cdot (t-0\,h)[/tex]

Step-by-step explanation:

Since the swimming pool is being drained at a constant rate, the equation of the process must be a first-order polynomial (linear function), where depth of water decrease as time goes by. The form of the expression is:

[tex]y = m \cdot t + b[/tex]

Where:

[tex]t[/tex] - Time, measured in hours.

[tex]b[/tex] - Initial depth of the water in swimming pool (slope), measured in inches.

[tex]m[/tex] - Draining rate, measured in inches per hour.

[tex]y[/tex] - Current depth of the water in swimming pool (x-Intercept), measured in inches.

If [tex]m = -3\,\frac{in}{h}[/tex] and [tex]y (5\,h) = 32\,in[/tex], the initial depth of the water in swimming pool is:

[tex]b = y - m\cdot t[/tex]

[tex]b = 32\,in -\left(-3\,\frac{in}{h} \right)\cdot (5\,h)[/tex]

[tex]b = 47\,in[/tex]

The equation in point slope form is:

[tex]y-y_{o} = m \cdot (t-t_{o})[/tex]

Where [tex]y_{o}[/tex] and [tex]t_{o}[/tex] are initial depth of the water in swimming pool and initial time, respectively. Then, the equation in point slope form is:

[tex]y - 47\,in = \left(-3\,\frac{in}{h}\right)\cdot (t-0\,h)[/tex]

Answer:

$63.90

Step-by-step explanation:

First we want to find 10% of 71, this is 7.1.

Since we want to know the price before the tax was added, we will subtract 7.1 from 71 to get our final answer, $63.9

Have a great day ;)

Answer:

$63.9 or rounded up- $64

Step-by-step explanation:

Step one: first you need to find 10% of 71. To do that you multiply 71 by 0.10. The answer is 7.1

Step two: next you would do 71-7.1 to take off the 10%. you get your answer as $64.

Don't forget to rate and thanks!

Answer:

4

Step-by-step explanation:

Answer:

Please check if the answer is correct or not....

Answer:

1/2

Step-by-step explanation:

The non-even numbers are 1, 3, and 5 on the dice.

3 numbers out of 6.

3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

Total sides of 6-sided die = 6

Numbers not even = 3

Probability of not getting an even = 3/6

=> 1/2

Answer:

(A) 7

Step-by-step explanation:

[tex] 4y > 10[/tex]

[tex]y > \frac{10}{4} [/tex]

[tex]y > 2.5[/tex]

Since Y is more than 2.5,

the only possible solution is 7, which is (A)

Answer:

BG is always perpendicular to GF. The measure of angle BGF is always 90 degree

Step-by-step explanation:

Answer:

is always perpendicular to . The measure of  is always 90°.

Step-by-step explanation:

Plato Awnser