Find the lateral area of the cylinder .The lateral area of the given cylinder is _ M2(Round to the nearest whole number as needed .)

114 minutes

Explanation

Step 1

find the rate of production of each machine (cans per minute)

so

a)The newer machine:

b)the older machine:

Step 2

Add the rates together to determine their combined

so, the total rate( both machine working ) is 50 cans per minute

Step 3

finally, to find the time to produce 5700 cans, divide the total cans by the rate, so

therefore, the answer is 114 minutes

I hope this helps you

The line passes through the points, (-6,-10) and (-2,-10)

We know equation of the line passing through points (x',y') and (x'',y'') is given by:

So the equation of the line is:

The equation of the line is y=-10

The expression (m⁻⁵n⁻³)⁻³ has an equivaent of m⁻¹⁵n⁹

From the question, the expression is represented as

(m−5n−3)−3

Rewrite the expression properly

This is done as follows;

(m⁻⁵n⁻³)⁻³

Open the brackets

So, we have the following equation

(m⁻⁵n⁻³)⁻³ = (m⁻⁵)⁻³ x (n⁻³)⁻³

Evaluate the products

So, we have the following equation

(m⁻⁵n⁻³)⁻³ = (m⁻¹⁵) x n⁹

This gives

So, we have the following equation

(m⁻⁵n⁻³)⁻³ = m⁻¹⁵n⁹

Hence, the solution is (m⁻⁵n⁻³)⁻³ = m⁻¹⁵n⁹

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The given expression (m⁻⁵n⁻³)⁻³ has an equivalent to the m⁻¹⁵n⁹

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is represented as (m−5n−3)−3

Rewrite the expression as follows;

(m⁻⁵n⁻³)⁻³

Open the brackets , we have

(m⁻⁵n⁻³)⁻³ = (m⁻⁵)⁻³ x (n⁻³)⁻³

Evaluate the products, we have;

(m⁻⁵n⁻³)⁻³ = (m⁻¹⁵) x n⁹

(m⁻⁵n⁻³)⁻³ = m⁻¹⁵n⁹

Hence, the solution will be; (m⁻⁵n⁻³)⁻³ = m⁻¹⁵n⁹

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Answer:

skill issue

Step-by-step explanation:

skill issue

A  person weigh on the Mercury if they weigh 135 pounds on Earth is  43.94 pounds.

Weight of person on Earth = 145pounds

145 = mg

Weight of person on Mercury = 47.2pounds

47.2 = ma

145/47.2 = mg/ma

145/47.2 = g/a

a = 47.2g/145      .....1.

If weight of person on earth = 135pounds

135 = mg

  m = 135/g        .......2.

Then, Weight of person on Mercury = ma

using the above values of a and m we we get

= (135/g)x (47.2g/145 )

= 135 x 47.2 / 145

= 43.94 pounds

A  person weigh on the Mercury if they weigh 135 pounds on Earth is  43.94 pounds.

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Given:

There are given two triangles.

Explanation:

According to the question:

We need to find the tall of Ariadne.

So,

To find the value, we need to use triangle proportion properties.

So,

Suppose the value of tall is x.

So,

We need to find the value of x.

Then,

Final answer:

Hence, the solution is 5 ft tall.

The required exponential function would be W = 106 × 1.04ⁿ for the weight after n weeks.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The given starting weight for the diet program is 106 pounds. Because the weight is expected to be multiplied by 1.04 pounds each week, the weight will develop exponentially with an initial value of 106 pounds and a growth factor of 1.04 pounds. Then, for the weight after weeks, the exponential function is given by,

W  = W(n) = Pb'

Here P = 106 and b = 1.04

Hence the required formula is,

⇒ W = 106 × 1.04ⁿ

Thus, the required exponential function would be W = 106 × 1.04ⁿ for the weight after n weeks.

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The question seems to be incomplete the correct question would be

A woman who has recovered from a serious illness begins a diet regimen designed to get her back to a healthy weight. She currently weighs 106 pounds. She hopes each week to multiply her weight by 1.04 each week. Then, find the exponential function for the weight after weeks.

Given:

Length of the two adjacent sides = 533 feet and 525 feet

Angle between the two sides = 53 degrees

Let's find the area of park.

Let's make a sketch representing this situation:

Let's first find the length of the third side.

Apply the cosine rule.

We have:

Now, apply the Heron's formula to find the area:

Where:

a = 472.13

b = 533

c = 525

Let's solve for s:

• Therefore, the area will be:

The area in square feet is 111,738.81 square feet.

Now, let's find the area in square yards.

Apply the metrics of measurement.

Where:

1 square yard = 9 square feet

Thus, we have:

111,738.81 square feet =

Therefore, the area of the park in square yards is 12,415 square yards.

ANSWER:

12,415 square yards.

A.

In order to calculate the area of the trapezoid, we need to calculate its height:

Using the Pythagorean Theorem, we have:

Now, calculating the area:

B.

If each square yard is $35, first let's convert the area from ft² to yd² (1 yard = 3 feet, 1 yd² = 9 ft²):

So the total cost is:

So the cost is approximately $2347.45.

Substitute second expression (x=y) in the first expression.

Substitute the above value of y in the expression number 2.

Thus, the value of x=3 and the value of y=3.

Given:

Total Number of ways = 54

Number of body styles = 3

Number of engine choices = 2

Let's find the number of colors available.

To find the number of colors available, we have:

Number of ways = Number of body styles x Number of engine choices x Number of colors

54 = 3 x 2 x c

Where c represent the available number of colors.

Let's find c.

54 = 3 x 2 x c

54 = 6c

Divide both sides by 6:

Therefore, there are 9 colors available to select from.

ANSWER:

9

The external angle formed by the secants equals one-half the difference of the intercepeted arcs. Therefore:

y varies directly as x, y = 7 when x = 21. Determine x when y = 5.

Step 1

Let

y varies directly as x, it is y depends on x, in math terms

f(x)=y

y = 7 when x = 21

f(21)=7

Determine x when y = 5. f(?)=5

Step 2

there is a proportion, this must be equal, make a rule of three to find the value

so

x y

so , when y=5, x=15

Basic geometry are formulars and properties of basic shapes like rectangle, square, circle, triangle, and solid shapes like cuboid, cube cylinder etc.

The area, perimeter and volume of solid shape are properties that can be determined from this shape.

Perimeter is the sum of the whole side of the figure. Example the perimeter of a rectangle with 2 length and 2 width can be calculated by adding the whole 2 length and width.

The perimeter of the rectangle above is by adding all the sides.

perimeter = 4 + 4 + 2 + 2 = 12 cm

The area of the figure below is the amount of space of the boundary. The area of the rectangle below is length * width = 4 * 2 = 8 cm squared.

Step 1

Given the triangle, ABC translated to A'B'C'

Required to find the algebraic description that maps triangle ABC and A'B'C'

Step 2

The coordinates of points A, B,C are in the form ( x,y)

Hence

Step 3

Find the algebraic description that maps triangle ABS TO A'B'C'

The algebraic description is found using the following;

Hence,

Hence the answer is option B

Answer:

12x-21

Explanation:

Given the expression

3 (4x-7)

On expanding using distributive law;

3(4x-7)

3(4x) - 3(7)

12x - 21

Hence the result required is 12x-21

Answer:

-4 +9i

Step-by-step explanation:

complex number in standard form.

(-2+6i)-(2-3i)=

Combine like terms

-2 -2  +6i +3i

Standard form is a+bi

-4 +9i

Answer:

45,000

Step-by-step explanation:

Hey! Let's help you with your question here!

So, let's think about this logically. The only limit we have here is that the leftmost digit cannot be zero. This makes sense because there would be no five-digit number if the leftmost is zero. In order to find the possible amount of even numbers, we need to take the possible numbers of each digit and have them multiplied to each other to get the total. (I will explain this soon).

First Digit:

Since, the rules state that the leftmost digit cannot be zero, this would be the digit that the rule affects. From here, we can have a possibility of the numbers 1 through 9 here. So, for the first digit, we have the possibility of 9 numbers that can be here.

Second, Third, Fourth Digit:

Now you're probably wondering as to why I've grouped up these 3 digits and not the last or the first one. We'll get to the last one in the next explanation, but we exclude the first digit because the rule that affects the first digit, does not affect these digits nor the last digit. With these 3 digits, we don't have that rule of it cannot be zero, so now our possibilities for what the numbers can be is 0 through 9. If we include 0 as a number too, then we have a possibility of 10 numbers that can be within these digits.

Fifth (Last) Digit:

For this last digit, there is an implicit rule being stated for the last digit. The question asks how many five-digit even numbers are possible if the leftmost digit cannot be zero. This rule affects the last digit only as that allows the whole five-digit number to be even and zero is included in this. So, the even numbers are 0, 2, 4, 6, and 8. In this case, we only have 5 possible numbers to choose from for the very last digit.

Answer Explanation:

Before I begin answering, back in the very first paragraph, I said we need to take the possible numbers of each digit and multiply them altogether to get the total amount of possible values. Why do we do this? This is the idea of possibility combination. We multiply because we are taking in account all of the possible values whereas if we just add, we're only taking in account the maximum possible value of each possibility. So, let's calculate the answer now! For the first digit, we have a possibility of 9 numbers being there (1-9). For the Second, Third, and Fourth digit, we have a possibility of 10 numbers being there (0-9). And finally for the last digit, we have a possibility of only 5 numbers (0, 2, 4, 6, and 8). So, the total possible combination is:

[tex]9*10*10*10*5[/tex]

[tex]=45,000[/tex]

Therefore, we get 45,000 total possible five-digit even numbers where the leftmost digit cannot be zero.

For the given functions, we can write the sum as:

(f + g)(x) = 9x + 1

Here we want to find the sum between functions f(x) and g(x), and in this case, we have:

f(x)= x - 8

g(x) = 8x + 9

The sum can be written as:

(f + g)(x) = f(x) + g(x)

Replacing the functions there we get:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (x - 8) + (8x + 9)

(f + g)(x) = x + 8x - 8 + 9

(f + g)(x) = 9x + 1

That is the sum of the functions.

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Answer:

Aveage Rate of cCanege = 40

Explanation:

The line segment is drawn in the function below:

Using the line segment:

Therefore, the average rate of change will be:

The average rate of change is 40.

Answer:

2/3

Step-by-step explanation:

y = xk

6 = 72K  Solve for k  Divide both sides by 72

[tex]\frac{1}{12}[/tex] = k

y = xk

y = [tex]\frac{8}{1}[/tex] x [tex]\frac{1}{12}[/tex]

y = [tex]\frac{8}{12}[/tex]  I can simplify by dividing the numerator and denominator by 4

y = 2/3

SOLUTION

1. From the question the machine stamps 36 caps in 10 seconds

In 5 minutes it will cap

So in 5 minutes, it would stamp 1080 bottle caps

2. Minutes it would take to stamp 24,408 bottle caps?

Hence it would take 113 minutes to stamp 24,408 bottle caps

SOLUTION

The initial points is 1050

The points earned per hour is 350

The total point y earned in x hours is:

Substitute y=2450 into the inequality

Solve for x

Therefore the lease number of hours is 4.

We have from the question 1200 liters, and we need to convert it into kiloliters.

To find the equivalent in kiloliters to 1200 liters, we can proceed as follows:

1. Find the equivalent between these two measures:

2. Then we have:

Therefore, in summary, we can conclude that 1200 liters are equivalent to 1.2kiloliters.

Answer:

st - r = -33

Explanation:

We need to replace r by -31, s by 4 and t by -16, so the expression is equal to

st - r = 4(-16) - (-31)

st - r = - 64 + 31

st - r = -33

So, the answer is

st - r = -33

We have the parallel sides of the rectangle are equal, therefore:

The perimeter is the sum of all sides, then:

Substitute the given data:

And solve for x:

Next, we find the length of side RS:

Answer: RS = 51 units

ticket sale on Saturday night is triple the ticket sale on Friday night.

Therefore

ticket sales on Saturday night = 3 x 12425 = 37275

Then

ticket sales for both nights = 12425 + 37275 = 49700

A ticket costs 35.

Let the number of people that attended the carnival on both nights be n.

Then, we have

Therefore 1420 people attended the carnival on both nights

The quadrilateral has diagonals that are both congruent and perpendicular is square.

The correct option is (d)

Answer:

Its A

Step-by-step explanation:

The break time is 2:15 pm.

The time interval for break is 45 min.

Determine the time at which interval ends.

So break ends (individual come back) at 3:00.