If f(1)=1 and f(n)=4f(n-1) what is the value of f(4)?

Answer:

24c

Step-by-step explanation:

First off, we know what in each case there are 24 bottles. So if we have c crates and want to know the water bottles inside them, we need to multiply 24 by c resulting in 24c or 24 x c.

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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Answer: 8nx−7p−6x

Step-by-step explanation:

The backyard is 9000 square feet, the flower garden is 60 square feet, and the grass space is 8940 square feet.

A parallelogram is a special type of quadrilateral made up of parallel lines. As long as the opposite sides of a parallelogram are parallel, it can have any angle between its neighbouring sides. A parallelogram is formed when two opposite sides of a quadrilateral are parallel and congruent. As a result, a parallelogram is a quadrilateral with both pairs of opposite sides parallel and equal.

In their backyard, a family has a parallelogram-shaped flower garden.

A rectangle's area is equal to its length, width, and height, which total 9000 square feet.

The backyard is 9000 square feet in size.

The flower garden is shaped like a parallelogram with a 12-foot base and a 5-foot height.

A parallelogram's area is base height=125=60 square feet.

The flower garden is 60 square feet in size.

The remaining area is completely covered in grass. As a result, the area of the grassy area in the backyard is equal to the sum of the backyard's area and the size of the flower garden.

So the backyard is 9000 square feet, the flower garden is 60 square feet, and the grass space is 8940 square feet.

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The number of hours of overtime earned is 20 hours.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total number of days worked in a week = 5 days.

Total number of hours in a week = 40

This means,

1 day = 8 hours

Now,

The number of hours worked in a day.

= 12 hours

So,

In a week,

= 12 x 5

= 60 hours

Now,

The number of extra hours worked in a week.

= 60 - 40

= 20 hours

Thus,

20 hours of overtime is earned.

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The complete question:

The Company you work for has a policy of paying overtime for all hours worked in excess of 40 hours weekly.

You worked 12 hours each day, Monday through Friday.

How many hours of overtime did you earn?

Answer:

\(m = 10\)

Step-by-step explanation:

Looking at the angles, we can see that this is a 30-60-90 triangle.

The side that is with the 30° angle and the 90° angle is represented by \(x\sqrt{3}\).

So let's find x.

\(x\sqrt{3} = 5\sqrt{3}\)

Divide both sides by \(\sqrt{3}\):

\(x = 5\).

Now the hypotenuse is always \(2x\) (the leg with the 90° and 60° is just x.) So,

\(2x = 2\cdot5 = 10\).

Hope this helped!

Answer:

c=pie r squared is the equations and the answer is 50.27

Step-by-step explanation:

Answer:

120 apples and 100 oranges

Step-by-step explanation:

6/11 x 220 = 120 apples

5/11 x 220 = 100 oranges

Answer:

w = 55 yards

Step-by-step explanation:

P = 2*(l + w)

P - perimeter, l - length, w - width

294 = 2*( 92 + w)

294/2 = 92 + w

147 = 92 + w

w = 147 - 92

w = 55

The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.

A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:

Perimeter of a rectangle = 2(length + width).

Given the following:

Therefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:

Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)

Combine like terms

Perimeter of rectangle = 2(7.3q - 6.7)

Perimeter of rectangle = 14.6q - 13.4

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The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

Step-by-step explanation:

Try different products to find 26

split the coefficients of the middle term ie 15x

expand the equation

Regroup

Answer =(x+2) (x+13)

Answer:

Explaination:

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 >> Y = 24

75

STEP 2 >>

24 × 100 = 32

75 × 100 100

STEP 3>> Y = 32%

Finally, we have found the value of Y which is 32 and that is our answer.

You can use a calculator to find what percent of 75 is 24, just enter 24 ÷ 75 × 100 and you will get your answer which is 32.

Answer:

32

Step-by-step explanation:

(75/100) × X = 24

75X = 2400

75X/75 = 2400/75

X = 32

32% of 75 gives you 24

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

22

Step-by-step explanation

nickels are 5 cents so 5 times 4 is 20 and pennies are 1 cent so 2 times 1 is 2

20+2 = 22 cents

Answer:

22 cents

Step-by-step explanation:

1 nickel = 5 scents  

1 penny = 1 scent

4 times 5 = 20

2 times 1 = 2

20 + 2 = 22

Hope that helps!

To create a spider plot showing the effect on profit of varying the availability of resources, follow these steps:

1. Start by setting up your base-case values for each resource. This will be the starting point for your spider plot.

2. Next, create a series of data points for each resource by varying its availability between 90% and 110% of the base-case value in 2% increments. For example, if the base-case value for a resource is 100, you would create data points at 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, and 110.

3. Plot these data points on a spider plot, with the base-case value at the center and the varying values radiating outwards. Each resource should have its own line or "spider leg" on the plot.

4. Finally, add labels and a legend to your spider plot to make it easy to understand which resource is represented by each line and what the varying values mean.

By following these steps, you can create a spider plot that clearly shows the effect on profit of varying the availability of resources.

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Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

Answer:

28 yards

Step-by-step explanation:

38+46=84

1 yard = 3 feet

1/3=x/84

84/3=24

Answer:

14.5 inches of snow, S=T(H)+B

Step-by-step explanation:

This question is a linear equation. First, we will extract the important numbers

amount of snow at beginning=2

snow falling per hour=2.5

trying to find how much snow has fallen after 5 hours.

First, lets put this into an equation, variables will go as follows

total amount of snow=S

hours=H

snow at beginning=B

Rate of snow fall=T

Now, we make an equation

S=T(H)+B

Now, substitute the variables out

S=2.5(5)+2

Then, solve

S=12.5+2

S=14.5

For the second question, just put the equation you made as the answer

Answer:

Addition and multiplication both use the associative property, while subtraction and division do not.

Step-by-step explanation:

Answer:

subtraction doesn't have the associative property. If we subtract the first two numbers, 10 minus 5, it gives us 5. If we move on to subtract 3, it gives us 2. However, if we subtract the last two numbers first, 5 minus 3 is 2.

Answer: B which is 95 is the answer to the question "What is the value of c?"

Answer: 309 + n= k * 173 -232

Step-by-step explanation:

Translated:

309 + n= k * 173 -232

541 + n= 173k

I don't exactly know the answer to this question, but here is my thinking progress

Answer:

Slope = \(\frac{7}{-3}\)

Step-by-step explanation:

(-5,18) (1,4)

\(\frac{18 - 4}{-5 - 1}\) = \(\frac{14}{-6}\) = \(\frac{7}{-3}\)

Answer:

\(y= -486\)

Step-by-step explanation:

We first translate the statement into an equation:

\(\frac{y}{27}=-18\)

Then we simplify:

\(y= -486\)

Answer:

y/27 = -18

y = -486

Step-by-step explanation:

Translate the statement into an equation one step at a time.

"y divided by 27 is -18."​

y/27

"y divided by 27 is -18."​

y/27 =

"y divided by 27 is -18."​

y/27 = -18

Since y is being divided by 27, and you want y alone, multiply both sides by 27.

y/27 × 27 = -18 × 27

y = -486

The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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Answer:

18

Step-by-step explanation:

\(\frac{dy}{dx}=9x^2 + 4x-5 \\ \\ \frac{d^2 y}{dx^2}=18x+4 \\ \\ \frac{d^3 y}{dx^3}=18\)