r = 10 units and h = 7 units, then what is the volume of the cylinder shown above?

Answer:

6417

Step-by-step explanation:

if A = b*h then when we substitute b for 93 and h for 69

A=93*69 = 6417

Start by distributing the negative sign

Then group terms that have the same literal parts

Answer: A square has two diagonals, they are equal in length and intersect in the middle. The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular. The diagonals of a square are the same length (congruent).

Step-by-step explanation:

Answer:

The x-intercepts of a quadratic function are the points where the graph of the function intersects the x-axis. If a quadratic function has x-intercepts at (-3, 0) and (3, 0), then the graph of the function is symmetric with respect to the y-axis.

The line of symmetry of a symmetric function is a vertical line that passes through the vertex of the function. In this case, the vertex of the function is located at the midpoint of the x-intercepts, which is at the point (0,0). Therefore, the equation of the line of symmetry is simply the equation of the vertical line passing through (0,0), which is:

x = 0

So the equation of the line of symmetry is x = 0.

The probability that two cards chosen from an ordinary deck of 52 cards are both kings is d) None of the above.

There are 4 kings in a deck of 52 cards, so the probability of drawing one king from the deck is 4/52. Once a king has been drawn, there are only 3 kings left in the deck, and the total number of cards in the deck is reduced by one. So the probability of drawing a second king given that the first king has already been drawn is 3/51.

To find the probability of drawing two kings in a row, we need to multiply the probability of drawing the first king (4/52) by the probability of drawing the second king (3/51) given that the first king was drawn:

Probability of drawing two kings = (4/52) * (3/51) = 1/221

Therefore, the probability that two cards chosen from an ordinary deck of 52 cards are both kings is 1/221, which is not one of the options listed. Thus, the correct answer is option d) None of the above.

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

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Cold fronts generally move faster than warm fronts because cold air is denser and thus, moves more quickly. Precipitation with a cold front typically covers a broader area, especially during the winter.

On the other hand, warm fronts move more slowly as they are characterized by the gradual lifting of warm air over colder air. Cold fronts also typically have steeper slopes than warm fronts. This is because the leading edge of a cold front is more abrupt.

With a steep rise in the cold air mass. In contrast, the leading edge of a warm front has a gentler slope as the warm air gradually rises over the colder air.

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Answer:

true

Step-by-step explanation:

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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The exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)

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

t    f(t)

0    100

1     50

2     25

From the above, we have the following

Initial value, a = 100

Rate, b = 50/100

Evaluate

b = 0.5

The function is represented as

\(f(t) =ab^t\)

So, we have

\(f(t) =100(0.5)^t\)

Hence, the exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)

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Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

1). Figure (1) comprises two cuboids, one small cuboid placed on the big cuboid at the bottom.

Volume of the figure = Volume of the cuboid on the top + Volume of the cuboid at the bottom

Volume of the cuboid on the top = Length × Width × Height

                                                   = 4 × 6 × 5

                                                   = 120 mm³

Volume of the cuboid at the bottom = Length × Width × Height

                                                        = 9 × 6 × 4

                                                        = 216 mm³

Volume of the figure = 120 + 216

                                   = 336 mm³

2). Figure shown in the picture has two parts,

Cone placed on the top of a cylinder.

Volume of the given figure = Volume of cone + Volume of cylinder

                                          = \(\frac{1}{3}\pi r^{2}h+\pi r^{2}h'\)

                                          = \(\frac{1}{3}\pi (\frac{3}{2})^{2}(3)+\pi (\frac{3}{2})^{2}(8.1)\)

                                          = \(\frac{9}{4}\pi +18.225\pi\)

                                          = \((2.25+18.225)\pi\)

                                          = \(20.475\pi\)

                                          = 64.3 ft³

Therefore, volume of the given figure = 64.3 ft³.

Answer:

∠JKL = 159

∠JKM = 43

∠MKL = 116

Step-by-step explanation:

Step 1: Define a equation for the angles

∠JKL = ∠JKM +∠MKL

Step 2: Substitute the values in for the angles

(10x - 11) = (43) + (8x-20)

Step 3: Solve for x

10x - 11 = 43 + 8x - 20

2x = 34

x = 17

Step 4: Substitute x = 17 back into angle to solve

∠JKL = 10(17) - 11

          =170 - 11

           =159

∠JKM = 43

∠MKL = 8x - 20

          = 8(17) - 20

           = 136 - 20

           =116

Answer:

17=x

JKM =43

MKL =  116

JKL= 159

Step-by-step explanation:

JKM + MKL = JKL

43+ 8x-20 = 10x-11

Combine like terms

23+8x = 10x-11

Subtract 8x from each side

23 +8x-8x = 10x-8x-11

23 = 2x-11

Add 11 to each side

23+11 = 2x-11+11

34 = 2x

Divide by 2

34/2 = x/2

17=x

JKM =43

MKL =  8x-20 = 8*17 -20 = 116

JKL= 10x-11 = 10*17 -11 = 159

Answer:

\( \sf \: x = - 12\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 12 - x = 24

Then the value of x will be,

→ 12 - x = 24

→ -x = 24 - 12

→ -x = 12

→ [ x = -12 ]

Hence, the value of x is -12.

Answer:

Undefined

Step-by-step explanation:

The slope of a horizontal line is zero.  The slope of a vertical line is undefined.

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

What do you mean by this I don't get the question you are asking?

Step-by-step explanation:

Answer:

what I have to solve for give proper question

Answer:

5:3:2

Step-by-step explanation:

see image

Jarek gets half. Then from the other half, Jerzy gets 3 pieces of 5 and Justyn gets the leftover 2 pieces. But Jarek's piece is all 5 pieces of the first half.

Jarek 5 parts:

Jerzy 3 parts:

Justyn 2 parts

5:3:2

see image

Answer:

Formula

V=a^2h/3

a is the base area

h is the height

V= 16^2×15/3

V=1280cm^3

Hence, He had to pay $ 18.11 for the tip on a restaurant bill.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Josiah ate dinner at a restaurant and his bill was $15.75,

He wanted to leave  15% tip,

Then He had to pay,

=15.75+15 % of 15.75

=15.75 + 0.15*15.75

=18.11

Hence, He had to pay $ 18.11 for tip on the restaurant bill.

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Answer:

a rectangle is having 4 lines of symmetry but a trapezium is having 2 lines of symmetry

The quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.

By the above discussion we conclude that the quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.

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6 fruit plates.

the answer is pretty obvious. it says he slices the cantaloupes into 6 equal sized servings and uses one of the servings to make fruit plates right? so 1 serving, 6 equal sized servings. therefore, 6 fruit plates.

Answer:

b= 47

Step-by-step explanation:

180-90 =90

90 -43 =47

Answer:

b = 47°

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

b + 43° + 90° = 180°

b + 133° = 180° ( subtract 133° from both sides )

b = 47°

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

8n - 3 = 25

Step-by-step explanation: