What is the volume of this sphere?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer:

if you have 270000

Step-by-step explanation:

if you spend money 261063 in 3 years

270000-261063

8937

Answer:

See below

Step-by-step explanation:

Given the above information, we can make the first part to be;

First part = y + 10

Then,

Second part = y

y + 10 : y = 5 : 3

(y + 10) / y = (5) / (3)

Cross multiply,

3y + 30 = 5y

Collect like terms

5y - 3y = 30

2y = 30

y = 15

Therefore, substituting the value of y,

First part = y + 10

First part = 15 + 10

First part = 25

Second part = y

Second part = 15

Number = First part + Second part

Number = 25 + 15

Number = 40

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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1: no solution

2: infinitely many solutions

3: one solution

Riley and her family move from the Midwest all the way to San Francisco. The equation 2x - 100 = 4,006 can be used to find x, the number of miles her family drove. Riley's family drove 2,053 miles from the Midwest to San Francisco.

Find the number of miles Riley's family drove from the Midwest to San Francisco, we need to solve the equation 2x - 100 = 4,006 for x.
First, we'll add 100 to both sides of the equation to isolate the variable term:
2x - 100 + 100 = 4,006 + 100
Simplifying:
2x = 4,106
isolate x, we'll divide both sides of the equation by 2:
2x/2 = 4,106/2
Simplifying:
x = 2,053
Therefore, Riley's family drove 2,053 miles from the Midwest to San Francisco.

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Answer:

23/24

Step-by-step explanation:

I hope it will help

Answer:

10

Step-by-step explanation:

Answer:

1/3 = 10/30

Step-by-step explanation:

answer is 10

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: 20 days

Step-by-step explanation:

First, we find the food provisioned for 1 man will last for how many days

Take 80 times 30 = 2400 days

Now we know that 40 more joined

80 + 40 = 120 serve

So, we take 2400 divided by 120 = 20 days

The total number of outcomes is 12.

An outcome is a potential outcome of an experiment or trial in probability theory.

When a number cube is rolled there are 6 distinct outcomes {1,2,3,4,5,6} = 6

Again when a quarter is flipped then there are two possible outcomes {heads , tails } = 2

The total number of outcomes = 6 × 2 = 12

Hence there are 12 distinct outcomes.

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The angle that the slide makes with the ground is approximately 30.8 degrees.

The ratio of a right triangle's adjacent side's length to its opposite side's length is known as the tangent in trigonometry. One of the six trigonometric functions, along with sine, cosine, cosecant, secant, and cotangent, it is denoted by the symbol "tan". Problems involving angles and distances are frequently solved using the tangent function, especially in the sciences of geometry, physics, and engineering.

The tangent function, which relates the opposite side thus:

tan(x) = opposite/adjacent = 8.5/14.5

x = arctan(8.5/14.5) ≈ 30.8 degrees

Hence, the angle that the slide makes with the ground is approximately 30.8 degrees.

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The complete question is:

A playground slide is 14.5 feet long with an 8.5-foot tall ladder. What is the measure of the angle that the slide makes with the ground, x, to the nearest degree?

Answer:

144

Step-by-step explanation:

first you gotta do 3x4 which is 12 then 12x12. and then you get 144.

Robert will run a total of 144 miles during the 12 weeks.

Given:

Robert runs 3 times a week for 12 weeks.

So, total number of runs will be:

= 3 runs/week * 12 weeks

= 36 runs

Since each run is 4 miles, multiply the total number of runs by the distance per run:

= 36 runs * 4 miles/run

= 144 miles

Therefore, Robert will run a total of 144 miles.

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Answer:

1

Step-by-step explanation:

x/81

x=81

81÷81=1

--------------------

Answer:

18.84 ft

Step-by-step explanation:

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius of the circle.

Since we know the circumference of the inner circle is 22 ft, we can find its radius as follows:

C = 2πr

22 = 2πr

r = 22/(2π)

r ≈ 3.5 ft

The radius of the outer circle is the sum of the radius of the inner circle and the distance between the two circles, which is 3 ft. Therefore, the radius of the outer circle is:

r = 3.5 + 3

r = 6.5 ft

The circumference of the outer circle is:

C = 2πr

C = 2π(6.5)

C ≈ 40.84 ft

The difference between the circumference of the outer circle and the circumference of the inner circle is:

40.84 - 22 = 18.84 ft

Therefore, the circumference of the outer circle is greater than the circumference of the inner circle by approximately 18.84 feet.

The system of linear equations that represents the situation is: 5x - 8y = 775 and x + y = 125.

The given situation involves Monica's school band organizing a car wash to raise money for a trip to a parade in New York City. They washed a total of 125 cars and made $775 from a combination of $5.00 quick washes and $8.00 premium washes.

To represent this situation using a system of linear equations, we need to assign variables to the number of quick washes (x) and the number of premium washes (y).

First, we can express the total amount earned from the car washes. Since each quick wash earns $5.00 and each premium wash earns $8.00, the equation becomes:

5x + 8y = 775.

Next, we consider the total number of cars washed. Since the band washed a total of 125 cars, we can write the equation as:

x + y = 125.

Therefore, the system of linear equations that represents the situation is:

5x - 8y = 775

x + y = 125.

By solving this system of equations, we can find the values of x and y, which will provide the number of quick washes and premium washes respectively.

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The solution to the recurrence relation is:

Q(n) = 5(5ⁿ) + 15(-3ⁿ) + 3·2ⁿ

for all n ≥ 0.

Now, For this recurrence relation, we can use the characteristic equation method.

We assume that the solution has the form Q_n = rⁿ,

where r is a constant.

Substituting this into the recurrence relation, we get:

rⁿ = 2rⁿ⁻¹ + 15rⁿ⁻² + 3·2ⁿ

Dividing both sides by rⁿ⁻², we get:

r² = 2r + 15 + 3·2² / rⁿ⁻²

Multiplying both sides by rⁿ⁻², we get:

rⁿ = 2rⁿ⁻¹ + 15rⁿ⁻² + 12

This gives us the characteristic equation:

r² - 2r - 15 = 0

Factoring, we get:

(r - 5)(r + 3) = 0

Therefore, the roots are r = 5 and r = -3.

Hence, The general solution has the form,

Q(n) = A(5ⁿ) + B(-3ⁿ),

where A and B are constants determined by the initial conditions.

Using the initial conditions Q₀ = 20 and Q₁ = 5, we get:

A + B = 20

5A - 3B = 5

Solving this system of equations, we get:

A = 5

B = 15

Therefore, the solution to the recurrence relation is:

Q(n) = 5(5ⁿ) + 15(-3ⁿ) + 3·2ⁿ

for all n ≥ 0.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.

The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.

The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.

Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.

By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.

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Note : This is a computer science question

The answer to this would be 3

The slope of a graphed line that spans grid points (0, 2) and best represents the slope as -5 (1, -3)

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

If the line rises to the right, the slope has a positive sign. The slope of this line is negative since it descends to the right. (Removes options C and D)

The ratio of the vertical to horizontal distance between two sites determines the slope's magnitude. This line has a slope of rise/run = -5/1 = -5 because it descends five vertical squares for every square to the right.

-5 is the best way to describe the slope.

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Answer:

14 x 10^6

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

There are 8 quarters and 2 nickels

Step-by-step explanation:

4 quarters for every 1 nickel

This means that for every 1 dollar, there are 5 cents

Double the statement above

1.05 x 2 = 2.10

There are 8 quarters and 2 nickels

In f(x)=ax+b, 'a' is the slope and b is the initial value or y intercept

Given :

Given function is f(x)=ax+b

f(x)=ax+b is the linear equation

The graph of a linear equation is a line. The value of 'a' tell us the steepness of the line that is the slope of the line .

'b' is the initial value . when x=0, f(x)=a(0)+b

that is f(0)=b

So, 'b' is the initial value or y intercept.

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Answer:

x = 3.5

Step-by-step explanation:

Given

\(3^{2x-5}\) = 9 , that is

\(3^{2x-5}\) = 3²

Since the bases on both sides are equal, both 3 , then equate the exponents

2x - 5 = 2 ( add 5 to both sides )

2x = 7 ( divide both sides by 2 )

x = 3.5

The point that preserves the function is option  A(-3,-8).

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

We have four option for the answer.

Note: if f is a function then each number of the domain has an unique image.

Since (regarding the table) the image of 9 is 6 then the answer D is wrong

The same apply on answers B and C .

Therefore, the right answer is A(-3,-8).

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Answer:

what equation?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2(x+1)^2+3=21

2(x+1)^2=9

x+1=3

x=2

600 kcal, when converted, is equivalent to 2380 BTU, 2.51 x 10^6 joules, and 0.70 kwh.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume, etc. to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

kcal, BTU, joules, and kwh are all units of energy. To convert kcal to these units, we can use the following conversions:

1 kcal = 3.96567 BTU

1 kcal = 4184 joules

1 kcal = 0.00116222 kwh

Converting 600 kcal to BTU, joules and kwh:

1 kcal = 3.96567 BTU

600 kcal = 600(3.96567 BTU)

600 kcal = 2379.4 BTU ≅ 2380 BTU

1 kcal = 4184 joules

600 kcal = 600(4184 joules)

600 kcal = 2.51 x 10^6 joules

1 kcal = 0.00116222 kwh

600 kcal = 600(0.00116222 kwh)

600 kcal = 0.697333 kwh ≅ 0.70 kwh

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Answer:

30

Step-by-step explanation:

Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.