What is the equation of the line perpendicular to y = 2/3 x +1 that passes through the point (12, – 6)?

The volume of the cylinder is  1243.44 cubic units.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

A cylinder has a radius r = 6 units.

And the height of the cylinder h = 11 units.

The volume of the cylinder,

= π r² h

Substituting all the values to the formula,

we get,

= (3.14)(6)²(11)

= 1243.44 cubic units.

Therefore, the volume is 1243.44 cubic units.

To learn more about the cylinder;

https://brainly.com/question/16134180

#SPJ1

It will take Lush Gardens Co. 3 years and 3 months to settle the loan if it makes payments of $1,600 at the end of every month.

First, we need to find the amount of the loan.

Amount of loan = Total cost of the truck - Down payment

Amount of loan = $54,000 - $5,940 = $48,060

Next, we need to find the monthly interest rate. Since the interest is compounded semi-annually, we first need to find the semi-annual interest rate:

Semi-annual interest rate = 4.46% / 2 = 2.23%

Then, we can find the monthly interest rate using the formula:

Plugging in the numbers:

Monthly interest rate = (1 + 0.0223)^(1/12) - 1 = 0.001845

Now we can use the formula for the loan payment:

Loan payment = Monthly interest rate * Loan amount / (1 - (1 + Monthly interest rate)^(-n))

Where n is the number of months.

Plugging in the numbers:

$1,600 = 0.001845 * $48,060 / (1 - (1 + 0.001845)^(-n))

Solving for n using a financial calculator :

n = 38.98 months

Rounding up to the next payment period (which is 39 months), we get:

n = 3 years, 3 months

Therefore, it will take Lush Gardens Co. 3 years and 3 months to settle the loan if it makes payments of $1,600 at the end of every month.

Learn more about monthly interest here : brainly.com/question/2151013

#SPJ1

Answer:

z + 5 = 30

Step-by-step explanation:

Substitute z = 25 into z + 5.

z + 5 = 25 + 5

        = 30

Answer:

30

Step-by-step explanation:

if z = 25

then,

25 + 5 = 30

hope it helpful

Answer: 13 is in C (the set of complex numbers)

Step-by-step explanation:

13 is in R (the set of real numbers)

13 is in Q (the set of rational number)

13 is in Z (the set of integers)

13 is in N (the set of natural numbers)

Answer:

One hour

Step-by-step explanation:

48 miles in 48 minutes

X miles. In 60minutes

48/48 = x/60 (cross multiplication)

(48*60)/48 = 60 minutes

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

For more such questions on northerly component

https://brainly.com/question/2926396

#SPJ8

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

Read more about average rate of change at

brainly.com/question/17131025

#SPJ1

Answer:

1.944444444444 ........

If you divide 35 divided by 18 it will give you 1.9444 or 1.94444444444.

I hope this helps. =^.^=

Answer:

h = 5

Step-by-step explanation:

The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

Read more on vector components;

https://brainly.com/question/26187714

#SPJ1

Answer:

1. yes

2.no

3.yes

4.no

5.yes

The volume of the great Khafre Pyramid, given the height, and length of bases would be 74, 433, 109.33 cubic feet.

To find the volume of the pyramid, we can use the formula:

V = (1/3) x B x h

where B is the area of the base and h is the height of the pyramid.

Since the base is a square, the area of the base can be found by:

B = s^2

where s is the length of a side.

In this case, s = 706 feet, so:

B = 706 ^ 2 = 498, 436 square feet

Now we can plug in the values for B and h:

V = (1/3) x 498,436 x 448

V = 74, 433, 109.33 cubic feet

Find out more on volume at https://brainly.com/question/18994842

#SPJ1

The full question is:

The great Khafre Pyramid, the second tallest and second largest of the three ancient pyramids of Egypt, is 448 feet tall, and the length of a side at the base is 706 feet. The base of the pyramid is a square. What is its volume, rounded to the nearest cubic foot?

Answer: 74,433,109

Step-by-step explanation:

Answer:

24.95 kg

Step-by-step explanation:

one pound =0.45356 kg

55 lbs=55*45356 =24.95 kg

Answer:

Remember that for an event with a percentage probability X, the probability is given by:

P = X/100%

a) What is the probability that the next customer will request plus gas and fill their tank ?

We know that 35% of the customers use plus gas, and of these using plus, 20% fill their tank.

So the probability that the next customer uses plus gas is:

p = 35%/100% = 0.35

And the probability that the customer fills the tank (given that the customer uses plus gas) is:

q = 20%/100% = 0.2

The joint probability is just the product between the individual probabilities:

Then the probability that the next customer uses plus gas and fills their tank is:

P = 0.35*0.2 = 0.07

b) What is the probability that the next customer fills the tank?

We know that 20% of the ones that use plus gas (with a probability of  0.35) fill their tank, 10% of these that use regular gas (with a probability of 0.4) and 30% of these that use premium (with a probability of 0.25) fill their tank,

Then the probability is computed in a similar way than above, here the probability is:

P = 0.2*0.35 + 0.1*0.4 + 0.3*0.25 = 0.185

The probability that the next customer fills the tank is 0.185

c)  If the next customer fills the tank, what is the probability that the regular gas is requested?

Ok, now we already know that the customer fills the tank.

The probability that a customer uses regular and fills the tank, is

p = 0.1*0.4

The probability that a customer fills the tank is computed above, this is:

P = 0.185

The probability, given that the customer fills the tank, the customer uses regular gas, is equal to the quotient between the probability that the customer fills the tank with regular and the probability that the customer fills the tank, this is:

Probability = p/P = (0.1*0.4)/(0.185) = 0.216

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

For more such questions on distance

https://brainly.com/question/30395212

#SPJ8

The y-intercept of the line \(y = -5x \ is \ 0\).

The equation of a line in slope-intercept form is given by \($y = mx + b$\), where \($m$\) represents the slope and \($b$\) represents the y-intercept. In the equation \($y = -5x$\), the coefficient of \(x \ \ is \ -5\), which represents the slope of the line.

To find the y-intercept, we set \($x$\) equal to \($0$\) and solve for \($y$\). Substituting \($x = 0$\) into the equation gives us \($y = -5(0) = 0$\).

Hence, the y-intercept of the line \(y = -5x \ is \ 0\). In the graph, the line passes through the origin \($(0,0)$\), indicating that it intersects the y-axis at \($y = 0$\). This means the line passes through the point \($(0, 0)$\) on the coordinate plane. The y-intercept is the point at which the line crosses the y-axis.

The y-intercept is a crucial point on a line as it helps determine its starting position on the y-axis. In the graph, you can visually observe that the line passes through the origin, confirming the y-intercept of \($0$\).

For more such questions on y-intercept: https://brainly.com/question/10700419

#SPJ11

Answer:

isosceles triangle

Step-by-step explanation:

A triangle that has two sides that are the same length and one side that is a different length is an isosceles triangle

Answer:

isosceles triangle

Step-by-step explanation:

a triangle in which two sides have the same length

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ1

Answer:

y = 4/7 - 2/7x

Step-by-step explanation:

Hope it's correct :D

Answer:

754

Step-by-step explanation:

If the number in the one's place is 5 or greater, the number is rounded up to the next ten. If the number is less than 5, the number gets rounded down.

754 is the answer because it rounds down to 750 as it is, but if 1 was added to it, it'd be 755 which would round up to 760.

Answer:

I think it's 92.88

Step-by-step explanation:

add up 20 and 9 to get a total of 29%

then multiply .29 and 72 to get 20.88

then add 20.88 and 72 to get the total cost including tips and tax

Answer:

A. 72

Step-by-step explanation:

367.2 -> 367

294.8 -> 295

367

- 295

____

072

if you weren't estimating you would get B because you wouldn't round the numbers.

since the question says to round and then estimate, the answer should be A.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

When you add a negative number, you're basically subtracting it.

7 - 3 = 4

Hope this helps! Good luck :)

Answer:

none

Step-by-step explanation:

none

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

Learn more on the rotation of plane figures here: https://brainly.com/question/12688268

#SPJ1

Answer:

L'(6,8)

Step-by-step explanation:

If i had to take a guess what i would is subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give me each distance. And by the looks it seems L'(6,8) is the farthest from he origin (0,0)