The Perimeter of a rectangle is 36 cm.
The length of the rectangle is 4cm more
than it's width. Find the dimensions of the
rectangle.

Answer:

Step-by-step explanation:

Go down on the graph 8 for the Y-axis then go across 4 on the X-axis.

Step-by-step explanation:

therefore a is equal to 5cm

Answer:

-19d + 2

Step-by-step explanation:

-9d - 4p - 6 - 10d + 8

-9d - 10d - 6 + 8

-19d + 2

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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Answer:

x^2 + 2x -15

Step-by-step explanation:

(x-3) (x+5)

x * (x+5) -3(x+5)

x^2 + 5x - 3x - 15

x^2 + 2x - 15

Answered by Gauthmath

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer: 24 fl oz = 1 pt and 1 cup.

Step-by-step explanation: 24 fl oz is equivalent to 3 cups because 1 fl oz equals 8 cups and 8 x 3 is 24. There are 2 cups in a pint, so we have 1 pint and 1 cup left over which is our answer.

Answer:

The hospital gets \(2.75\:\rm{mg}\) of medicines from these three companies.

Step-by-step explanation:

Company A has \(1.3\) milligrams, which is \(0.9\) milligram more than Company C's.

If \(A,B,C\), are the medicines produced by Companies A,B,C, respectively,

then, \(A=1.3\:\rm{mg}\), and its expression is given as,

\(\begin{aligned}A&=0.9+C\\1.3&=0.9+C\\C&=1.3-0.9\\C&=0.4\:\rm{mg}\end{aligned}\)

Company A has \(1.3\) milligrams, which is twice the difference between the weight of Company B's supply and Company C's.

So, its expression is given as,

\(A=2(B-C)\\\)

Substituting values of \(A,C\), the expression becomes,

\(\begin{aligned}1.3&=2(B-0.4)\\0.65&=B-0.4\\B&=0.65+0.4\\B&=1.05\:\rm{mg}\end{aligned}\)

So, the hospital gets,

\(\begin{aligned}A+B+C&=1.3+0.4+1.05\\&=2.75\:\rm{mg}\end{aligned}\)

of medicines.

We are required to find the total milligrams if medicine the hospital can get from the three companies.

The total quantity of medicine the hospital can get from the three companies is 2.75 milligrams

There are there companies:

Company A

Company B

Company C

Company A = 1.3 milligrams

Company A is 0.9 milligrams more than Company C's

A = 0.9 + C

1.3 = 0.9 + C

1.3 - 0.9 = C

0.4 = C

C = 0.4 milligrams

Company A is also twice the difference between the weight of

Company B's supply and Company C's

A = 2(B - C)

1.3 = 2(B - 0.4)

1.3 = 2B - 0.8

1.3 + 0.8 = 2B

2.1 = 2B

Divide both sides by 2

B = 2.1/2

B = 1.05 milligrams

Therefore,

A + B + C

= 1.3 + 1.05 + 0.4

= 2.75 milligrams

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The three complex cube roots of w are:

Z1 = 5(cos(70°) + i * sin(70°))

Z2 = 5(cos(190°) + i * sin(190°))

Z3 = 5(cos(310°) + i * sin(310°))

Given that;

To find all the complex cube roots of ,

w = 125(cos 210 deg + i  sin 210 deg)

Now, We know that;

x = r cos θ

y = r sin θ

let's find the modulus of w:

|w| = sqrt(125)

     = 125

Now let's find the argument of w:

arg(w) = 210°

Next, let's find the principal cube root of w. We can do this by taking the cube root of the modulus and dividing the argument by 3:

w^(1/3) = 125^(1/3) (cos(210°)/3 + i sin(210°)/3)

Let's simplify this expression:

w^(1/3) = 5(cos(70°) + i * sin(70°))

Now let's find the other two cube roots. We can do this by adding multiples of 120° to the argument and dividing by 3:

w^(1/3) = 5(cos(70°) + i * sin(70°))

w^(1/3) = 5(cos(190°) + i * sin(190°))

w^(1/3) = 5(cos(310°) + i * sin(310°))

So the three complex cube roots of w are:

w^(1/3) = 5(cos(70°) + i * sin(70°))

w^(1/3) = 5(cos(190°) + i * sin(190°))

w^(1/3) = 5(cos(310°) + i * sin(310°))

Thus, The three complex cube roots of w are:

Z1 = 5(cos(70°) + i * sin(70°))

Z2 = 5(cos(190°) + i * sin(190°))

Z3 = 5(cos(310°) + i * sin(310°))

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Answer:

15wz² - 2wz³

Step-by-step explanation:

when collecting like terms the terms must have the same variables, with variables having the same exponents.

(15wz² + 3wz³) - 5wz³ ← remove parenthesis

= 15wz² + 3wz³ - 5wz³ ← collect like terms

= 15wz² + (3wz³ - 5wz³)

= 15wz² + (- 2wz³)

= 15wz² - 2wz³

5

(6 + 1)² - 4 / 1 + (4² : 2) =

= (7² - 4) / (1 + 16 : 2)

= (49 - 4) / (1 + 8)

= 45 / 9

= 5

Answer:

Use Mathpapa to find your answer.

Step-by-step explanation:

It's a good, and powerful program.

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

answer: none of these? $338.69

explanation:

https://calculator.me/loan/s?prin=15000&ir=4&term=48&termtype=12&freq=12&pp=0&dp=0&dptype=1&tradein=0&stax=0&fstax=1&appfee=0&fappfee=1&od=13&om=9&oy=2021

All four sides are congruent.

Answer:

a parallelogram is a simple non-self-intersecting quadrilateral with two pairs of parallel sides.

Step-by-step explanation:

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

Ratio refers to the quantitative relationship between two or more quantities, expressing the proportion of one quantity to the other(s). It is typically expressed as a fraction, where the numerator represents one quantity, and the denominator represents the other quantity.

For example, the ratio of the number of boys to the number of girls in a class of 30 students might be expressed as 2:3, which means there are 20 girls and 10 boys in the class. Similarly, the ratio of the length to the width of a rectangle might be expressed as 4:3, indicating that the length is four times greater than the width.

The ratio of sheep to horses is 4:1, which means that for every 4 sheep on the farm, there is 1 horse. We can also say that the total ratio of sheep and horses on the farm is 4+1=5.

To express the relationship between the chickens and the sheep, we need to use the fact that there are 32 chickens and 12 sheep on the farm. We can write this as a ratio:

\(chickens : sheep = 32 : 12\)

We can simplify this ratio by dividing both sides by 4:

\(chickens: sheep = 8: 3\)

This means that for every 8 chickens on the farm, there are 3 sheep.

To determine the number of horses on the farm, we can use the fact that the total ratio of sheep and horses is 5. We know that the ratio of sheep to horses is 4:1, so we can write:

\(sheep : horses = 4 : 1\)

We can simplify this ratio by dividing both sides by 4:

\(sheep : horses = 1 : 0.25\)

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

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Answer:

-6/4

Step-by-step explanation:

You can just multiply them by any factor. Remeber that what you do to the bottom you do to the top.

So,

-3/2 x 2

-6/4 (this is a fraction equivalent to it.

Answer:

1. Negative

2. Undefined

3. Positive

4. Zero

Step-by-step explanation:

just took notes on subject and know answer. 100% sure its right

The slope of a line is determined by its steepness.

The formula for calculating slope is expressed as;

\(\frac{\triangle y}{\triangle x} = \frac{y_2-y_1}{x_2-x_1}\)

For the first graph, we can assume the coordinates (-1, 0) and (0, -2), the \(\frac{\triangle y}{\triangle x} = \frac{-2-0_1}{0-(-1)}\\\frac{\triangle y}{\triangle x} = \frac{-2}{1}\\\frac{\triangle y}{\triangle x} = -2\\\\\)

Since the slope is -2 which is a negative value, hence the slope of LlNE 1 is negative

For the vertical line, since the line is parallel to the y axis and the change in the x-value is zero, hence the slope of  LINE  2 will be UNDEFINED

For the THIRD graph, we can assume the coordinates (2, 0) and (0, -2), the \(\frac{\triangle y}{\triangle x} = \frac{-2-0}{0-2}\\\frac{\triangle y}{\triangle x} = \frac{-2}{-2}\\\frac{\triangle y}{\triangle x} = 1\\\\\)

Since the slope is 1 which is a negative value, hence the slope of LlNE 3 is positive

For the horizontal line (fourth graph), since the line is parallel to the x-axis and the change in the y-value is zero, hence the slope of LINE  4 will be ZERO

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The solution of the system of equations is x = 4 and y =-6

The system of equations is given as:

4x - 5y = 46

-4x - 4y = 8

Add the two equations, to eliminate x

So, we have:

4x -4x - 5y - 4y = 46 + 8

Evaluate the like terms

-9y = 54

Divide both sides by - 9

y = -6

Substitute y = -6 in the equation 4x - 5y = 46

4x - 5(-6) = 46

This gives

4x + 30 = 46

Evaluate the like terms

4x = 16

Divide by 4

x = 4

Hence, the solution of the system of equations is x = 4 and y =-6

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Answer:

The answer is b

Step-by-step explanation:

(-3,1)

The amount after 15 years with interest compounded quarterly is given by the equation A = $ 4,231.79

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the amount after 15 years be represented as A

Now , the equation will be

Let the principal amount be P = $ 3000

Let the number of years be b = 15 years

Let the number of times interest is applied be n = 4

Let the percentage of interest be r = 2.3 %

And , A = P ( 1 + r/n )ⁿᵇ

Substituting the values in the equation , we get

A = 3000 ( 1 + 0.023/4 )⁴ˣ¹⁵

A = 3000 ( 1 + 0.00575 )⁶⁰

On further simplification , we get

A = 3000 ( 1.00575 )⁶⁰

A = $ 4,231.79

Therefore , the compound interest is I = $ 1,231.49

Hence , the amount after 15 years is $ 4,231.79

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Step-by-step explanation:

this is just a warm-up. almost everything is already there. you only need to put the numbers in.

so, what is unclear ?

please, tell me, so that I can help better.

the radius is always half of the diameter. or the diameter is twice the radius.

in our case : 12/2 = 6 cm.

the height is plainly written in the graph : 9 cm

Vcylinder = base area × height = pi×r² × height =

= 3.14 × 6² × 9 = 3.14×36×9 = 1,017.36 cm³

Vcone = 1/3 × Vcylinder = 1/3 × 1,017.36 = 339.12 cm³

13.5-6.48=7.02

Step-by-step explanation:

You just pine them up and subtract. So the decimal points would be one under another. The 6 would be under the 3. Lastly the 4 would be under the 5 and the 8 would be beside the 4. Then you just subtract...or use a calculator

By multiplying the two fractions we get 2 / 9, and by adding we get 1.

In arithmetic, a product is the result of multiplication or an expression that identifies elements to be improved.

In math, multiply the method to add equal corporations. Whilst we multiply, the range of factors in the institution will increase. the two factors and the product are parts of a multiplication problem. Within the multiplication trouble, 6 × 9 = 54, the numbers 6 and 9 are the factors, at the same time as the range 54 is the product.

Multiplication is defined as calculating the end result of repeated additions of two numbers. An instance of multiplication is 4 instances 2 equals 8.

By multiplying the two fractions,

= 3 / 9 * 6 / 9

= 2 / 9

By adding the two fractions,

= 3 / 9 + 6 / 9

= 9 / 9

= 1

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Answer:

60%

Step-by-step explanation:

The shape is divided to 10 pieces and 6 of the pieces are painted if we multiply

6 put of 10 is orange therefore 60% of the sahpe is orange

Answer:

60%

Step-by-step explanation:

the number shaded divided bt the number of all division multiplied by 100

6÷10×100

=60%

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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9514 1404 393

Answer:

Step-by-step explanation:

Sum

  (a -b) +(b -a) = a - a + b - b = 0

Difference

  (a -b) -(b -a) = a +a -b -b = 2a -2b

Answer:

free points

Step-by-step explanation:

sry i really need points i have like 50