A tank that holds 120 gallons is leaking at a rate of
gallon per hour. Wri
an expression that represents the amount of gallons left in the tank after h
number of hours.

Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

According to the information, it can be inferred that the volume of the ice cream is close to 207.33 cm³

To calculate the volume of the maxicool, we must calculate the volume of the sphere of ice cream, and the volume of the cone that is filled with ice cream.

V = [tex]\frac{4}{3}[/tex] × π × R³

V = [tex]\frac{4}{3}[/tex] × π × 3³

V = 113.09 cm³

V = [tex]\frac{1}{3}[/tex] × π × R² × h

V = [tex]\frac{1}{3}[/tex] × π × 3² × 10

V= 94.24 cm³

Finally we must add both values to know the total volume of the maxicool.

113.09 + 94.24 = 207.33 cm³

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Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:

[tex]t = 4 + \frac{27}{60} = 4.45[/tex]

Hence, the velocity is given by:

[tex]v = \frac{d}{t} = \frac{178}{4.45} = 40[/tex]

The bus traveled at a rate of 40 miles per hour.

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Answer:

y=30

Step-by-step explanation:

it equals 30 because 2y+y=90. So now you know 3y=90. divide both sides by 3 so you can isolate the y. 90/3=30.

I have 90 because of the right angle. That is a 90-degree angle.

Answer:

[tex] \frac{x + 2}{x {}^{3} + 8} [/tex]

Step-by-step explanation:

[tex] \frac{ \frac{1}{x} + \frac{2}{x {}^{2} } }{x + \frac{8}{x {}^{2} } } [/tex]

[tex] \frac{ \frac{x + 2}{x {}^{2} } }{ \frac{x {}^{3} + 8 }{x {}^{2} } } [/tex]

[tex] \frac{x + 2}{x {}^{3} + 8 } [/tex]

Answer: Subtraction property of equality

Step-by-step explanation:

They subtracted 6 from both sides to get AB=18.

The best reason is Subtraction Property of Equality.

The correct option is (B)

The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal.

Given:

AB + 6 = 24

So,

AB= 24-6

AB = 18 (Subtraction Property of Equality)

Hence, the best reason is Subtraction Property of Equality.

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It will take approximately 282.352 hours for one to go round the earth, this is equivalent to 11.764 days

Given Data

We know that the relationship between speed, distance and time is given as

Speed = Distance/Time

Hence,

Time = Distance/Speed

Substituting our given data into the expression we have

Time = 2.4x10^4/8.5x10

Time = 2.4x10^3/8.5

Time = 282.352 hours

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Step-by-step explanation:

the value of the 13th coefficient in the expansion of {(a + b)}^{15} :

(13-1)C15 = 12C15 = 15! / 3!. 12!

= 15×14×13×12! / 3×2×12!

= 2730/6

= 455

Answer:

1206.857, cubic feet

Step-by-step explanation:

(22/7×4²)×24

=1206.857 cubic feet

Answer:

Your answer is -3

Step-by-step explanation:

Set the functions equal to each other, then solve for the variable.

Answer:

the number is 15

Step-by-step explanation:

Answer:

[tex]2x = 5 + y \\ y = 2x - 5 \\ when \: x = 0 \\ y = - 5[/tex]

Answer:

C. AB is longer than AC

Step-by-step explanation:

Using the distance formula, find the lengths of both AC and AB.

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

14.5

Step-by-step explanation:

Case 2

Q3 =

[tex]( \frac{3}{4} (n + 1 ) - \frac{1}{2} )th[/tex]

and

[tex]( \frac{3}{4} (n + 1) + \frac{1}{2} )th[/tex]

[tex] \frac{3}{4} (5 + 1) - \frac{1}{2} = 4th \: = 14[/tex]

[tex] \frac{3}{4} (5 + 1) + \frac{1}{2} = 5th = 15[/tex]

[tex] \frac{14 + 15}{2} = 14.5[/tex]

Answer:

That would be a right angle.

Step-by-step explanation:

you can tell from the little square on the angle which always means that it is   a right angle.

Solution 1

7(g - 19) ≥ -14

7g - 133 ≥ -14

7g  ≥ -14 + 133

7g ≥ 119

g ≥ 17

Solution 2

3(7g+17) > -19 + 14g

21g + 51 > -19 + 14g

21g - 14g > -19 -51

7g > -70

g > -10

Solution 3

6(-6g + 6) > -2(19g - 17)

-36g  +36 > -38g + 34

-36g + 38g > 34 - 36

2g > -2

g > -1

Answer:

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Therefore the slope, or the average rate of change, between these points is 2.

Step-by-step explanation:

Answer:

$ 80.73

Step-by-step explanation:

You can find the complete solution in the given attachment

Answer:

34

Step-by-step explanation:

Distance - formula

Answer:

34

Step-by-step explanation:

best to use the formula: √(X1-X2)²+(Y1-Y2)²

(If u want to know why, it's determinated by pithagoras' theory.)

=>√(30-0)²+(16-0)²=√900+256=√1156=34

The table that shows the distribution of q to r illustrates a direct variation

The proportionality constant from q to r is 1/8

From the table, we have the following points

When q = 48, r = 6

The proportionality constant is then calculated as:

k = r/q

Substitute known values

k = 6/48

Divide

k = 1/8

Hence, the proportionality constant from q to r is 1/8

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Answer:

The zeros of f are x = (0,2)

Answer:

71 cents

Step-by-step explanation:

Answer:

i think it is b

Step-by-step explanation:

i am not good at math sorry

Answer:

just study study study

Step-by-step explanation:

you will learned

Answer:

6+12=18

Step-by-step explanation:

the area of the smaller rectangle+the area of the bigger rectangle=18

16 Angle classification : right angle

Side classificat : isoceles

17. Angle classification : acute angle

Side classification : equilateral

18 angle classification : obtuse angle

Side classification : scalene

16)

Angle classification: right angle

Side classification : isosceles

17)

Angle classification: acute angle

Side classification: equilateral

18)

Angle classification: obtuse angle

Side classification: scalene

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

16)

One angle = 90 degrees

So,

The other two angles' sum must be 90 degrees.

So,

Angle classification: right angle

Side classification : isosceles

17)

We see that all sides are equal.

So,

All angles must be equal and the sum is 180.

So,

Angle classification: acute angle

Side classification: equilateral

18)

One angle is greater than 90.

So,

Angle classification: obtuse angle

Side classification: scalene

Thus,

16)

Angle classification: right angle

Side classification : isosceles

17)

Angle classification: acute angle

Side classification: equilateral

18)

Angle classification: obtuse angle

Side classification: scalene

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Answer:

(D. 12/3

Step-by-step explanation:

pls tell me if im wrong

Based on the amounts that Jack invested into the different investment vehicles, the amount Jack earns a year would be $1,132.87.

The amount invested is:

= 2 / 3 x 15,000

= $10,000

Amount after a year:

= Amount x e ^ (rate x time)

= 10,000 x e ⁰.⁰⁸ ˣ ¹

= $10,832.87

Amount invested:

= 1/3 x 15,000

= $5,000

Amount after a year:

= 5,000 x (1 + 6%)

= $5,300

= (10,832.87 + 5,300) - 15,000

= $1,132.87

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Answer:

180000

===========

[tex]\rightarrow \sf \dfrac{2^3*5^2*(2*3)^2*(3*5)^2}{3^2}[/tex]

[tex]\rightarrow \sf \dfrac{8*25*(6)^2*(15)^2}{3^2}[/tex]

[tex]\rightarrow \sf \dfrac{8*25*36*225}{9}[/tex]

[tex]\rightarrow \sf \dfrac{1620000}{9}[/tex]

[tex]\rightarrow \sf 180000[/tex]

Answer:

Es b = 180 000.

Step-by-step explanation:

b = 8. 25. 2².3².3².5²

              9

b = 8.25.4.9.9.25

             9

b = 1 620 000

              9

b = 180 000