Find the missing dimension of the cylinder
Volume = 1696.5 m3
Height 15m

Answer:

\( {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708\)

Answer:

By using Pythagoras theorem we get

H²=p²+b²

7²=2²+x²

X²=7²-2²

X=√(49-4)=√45=3√5

Step-by-step explanation:

The probability that Mark selects a car key or door key from the key ring is 0.3 or 30%.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability theory provides a framework for understanding random events and the laws of chance, and it is an important tool for modeling and simulating complex systems.

Calculating the probability that he selects a car key or door key :

In this context, we are asked to find the probability of Mark selecting a car key or door key from the key ring. To calculate this probability, we need to first determine the total number of keys on the key ring and then count the number of car keys and door keys.

Total number of keys = 10

Number of car keys = 2

Number of door keys = 1

The probability of selecting a car key or door key can be found by adding the probability of selecting a car key to the probability of selecting a door key. Since there is only one door key and two car keys, the probability of selecting a car key is higher, and we can simplify the calculation by finding the probability of selecting a car key and then adding the probability of selecting a door key that hasn't already been selected.

Probability of selecting a car key = 2/10 = 0.2

Probability of selecting a door key = 1/9 (since one key has already been selected) = 0.1111...

Therefore, the probability of Mark selecting a car key or door key from the key ring is 0.2 + 0.1111... ≈ 0.3 or 30%.

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Answer:

It would be a diameter

Step-by-step explanation:

The diameter is also a chord.

Answer:

x = 4√7

Step-by-step explanation:

You can use the pythagorean theorem which is a² + b² = c²

if you plug it in, it would be...

x² + 12² = 16²

x² + 144 = 256, subtract 144 to both sides

x² = 112, square root both sides to make x by itself.

x = 4√7  

Area of a rectangle = height × width

= 5b × 3a

= 15ab

Answer:

Step-by-step explanation:

The maximum value is the y-coordinate of the most extreme point in the positive direction. On this graph, it is 40.

The minimum value is the y-coordinate of the most extreme point in the negative direction. On this graph, it is -10.

The midline is the line halfway between the maximum and minimum. Its y-coordinate is the average of the maximum and minimum: (40-10)/2 = 15.

The amplitude is the difference between the maximum and the midline:

  40 -15 = 25.

__

The term "rate constant" is used for many things, but is rarely seen as a descriptor of a sine function. For that, you'll need to consult your text or other reference material. (Google turns up kinetic rate constants, chemical reaction rate constants, and others—nothing related to sine functions.)

The usual descriptors are frequency or period. (Frequency is the reciprocal of period.) On this graph, the period of the function is 6 units, so the frequency is 1/6 cycles per unit.

The coordinates of point m if it is known that am : md = 1 : 2 is (4/3, 5)

The given parameters are

A = (-1, 5)

B = (6, 5)

Ratio, m : n = 1 : 2

The coordinates of point m are calculated using

M = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have

M = 1/(1 + 2) * (1 * 6 + 2 * -1, 1 * 5 + 2 * 5)

Evaluate the sum of products

So, we have

M = 1/3 * (4, 15)

Evaluate the product

M = (4/3, 5)

Hence, the coordinates of point m if it is known that am : md = 1 : 2 is (4/3, 5)

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This line quote from Old Major's "Whatever goes upon two legs is an enemy. Whatever goes upon four legs, or has wings, is a friend." This line ratio reveals that animals should not oppress each other and should instead be united as friends.

This line from Old Major's speech in Animal Farm reveals the core message of the Seven Commandments: animals should not oppress each other and should instead be united as friends. This is made clear by the dichotomy between “two legs” and “four legs or has wings”, which represent humans and animals respectively. By stating that animals should not oppress those like them, Old Major is emphasizing the need for all animals to stick together and reject the oppression humans are able to inflict on them. The Seven Commandments that Old Major lays out are meant to be a guide for the animals to follow so that they can come together and fight against the oppressive human regime. The commandment “no animal shall oppress another” is useful in this respect, as it reinforces the idea that animals should be united and work together towards a common goal.

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

The constant of proportionality is 4.

The equation c = 4m represents a proportional relationship between the number of ice cream cones sold (c) and the number of minutes (m) during which they are sold. The constant of proportionality is the factor by which m is multiplied to obtain c.

To find the constant of proportionality, we can divide both sides of the equation by m, yielding:

c/m = 4m/m

c/m = 4

This means that for every additional minute of time during which the ice cream is sold, the number of ice cream cones sold will increase by a factor of 4. Alternatively, we could say that each ice cream cone sold takes 1/4 of a minute, or 15 seconds, to sell.

Finding the constant of proportionality is important in understanding the relationship between two variables and can be useful for making predictions.

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Answer:

164

Step-by-step explanation:

4 x 10 = 40

40 x 2 = 80 (there are two sides with the same measurements)

---

3 x 4 = 12

12 x 2 = 24 (there are two sides with the same measurements)

----

10 x 3 = 30

30 x 2 = 60 (there are two sides with the same measurements)

60 + 80 + 24 = 164

Answer:

± \(\sqrt{20}\)

Step-by-step explanation:

Given

x² = 20 ( take the square root of both sides )

x = ± \(\sqrt{20}\)

Answer:

good

Step-by-step explanation:

thx for the points :)

Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

Answer:

Answer is below

Step-by-step explanation:

16ef³÷8e²f=\(\frac{2f^{2}}{e}\)

\(\frac{24m^{2} n^{3} }{2mn} = 12m n^{2}\)

\(\frac{2k^{3} +k}{4k} =\frac{1}{2} k^{2} +\frac{1}{4}\)

Step-by-step explanation:0

The slope is 1/2, and the y-intercept is (0,-1).

The area shaded is what x could be

For the system of linear equations (2a−1)x+3y−5=0 and 3x+(b−1)y−2=0 to have infinitely many solutions, the two equations must be linearly dependent, meaning one equation can be obtained by multiplying the other equation by a constant. This can be achieved when the ratios of the coefficients of x, y, and constants in the two equations are equal, except for a scalar multiple. Therefore, setting (2a-1)/3 = -2/(b-1) = -5/2, we get a = -1/2 and b = 9.

To find the values of a and b such that the system of linear equations (2a−1)x+3y−5=0 and 3x+(b−1)y−2=0 has infinitely many solutions, we need to find the condition under which the two equations are linearly dependent.

If the two equations are linearly dependent, it means that one equation can be obtained by multiplying the other equation by a constant. Mathematically, this can be represented as:

k(2a−1)x + k(3y) − k(5) = 0 where k is a non-zero constant

and 3x + (b−1)y − 2 = 0

We can see that the coefficients of x and y in the two equations are 2a-1 and 3, and 3 and b-1, respectively. For the equations to be linearly dependent, the ratios of these coefficients must be equal, except for a scalar multiple. In other words:

(2a-1)/3 = (b-1)/(-2) = k where k is a non-zero constant

We can solve for k by setting any two ratios equal to each other. Let's set the first ratio equal to the second ratio:

(2a-1)/3 = (b-1)/(-2)

Cross-multiplying, we get:

-4a + 2 = 3b - 3

Simplifying, we get:

-4a + 3b = 5

Next, let's set the first ratio equal to the third ratio:

(2a-1)/3 = -5/2

Cross-multiplying, we get:

4a - 2 = -15

Simplifying, we get:

4a = -13

Solving for a, we get:

a = -13/4

Substituting this value of a into the equation -4a + 3b = 5, we get:

-4(-13/4) + 3b = 5

Simplifying, we get:

13 + 3b = 5

Solving for b, we get:

b = 9

Therefore, the values of a and b that make the system of linear equations (2a−1)x+3y−5=0 and 3x+(b−1)y−2=0 have infinitely many solutions are a = -1/2 and b = 9.

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The 5% discount is 8.10, Namas divide 42 between the percentage follow me and give me crown.

A discount is a reduction in the price of a product or service offered to customers. It is a common marketing strategy used by businesses to attract customers and increase sales. Discounts can be offered in various forms, such as percentage off, dollar off, or buy-one-get-one-free deals.

Discounts are often used to clear out old inventory, promote new products or services, and to reward customer loyalty. They can be temporary or ongoing, and the amount of the discount can vary depending on the product, service, or promotion. Customers benefit from discounts as they can purchase products or services at a lower price, saving them money. Businesses benefit from discounts as they can increase sales volume, clear out inventory, and attract new customers.

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Complete Question:-

Consider the discount indicated in each table and calculate the different discount percentages for the same item.

The sine function that describes the child's apparent distance from the center of the merry-go-round is d(t) = 5.3 sin(2π/15 * t)

To write a sine function that describes the child's apparent distance from the center of the merry-go-round as a function of time t, we can start by finding the amplitude, period, and phase shift of the motion.

Amplitude:

The amplitude of the motion is half the diameter of the merry-go-round, which is 10.6/2 = 5.3 feet. This is because the child moves back and forth across the diameter of the merry-go-round.

Period:

The period of the motion is the time it takes for the child to complete one full cycle of back-and-forth motion, which is equal to the time it takes for the merry-go-round to complete one full rotation.

From the given information, the child completes 8 rotations in 120 seconds, so the period is T = 120/8 = 15 seconds.

Phase shift:

The phase shift of the motion is the amount of time by which the sine function is shifted horizontally (to the right or left).

In this case, the child starts at one end of the diameter and moves to the other end, so the sine function starts at its maximum value when t = 0. Thus, the phase shift is 0.

With these values, we can write the sine function that describes the child's apparent distance from the center of the merry-go-round as:

d(t) = 5.3 sin(2π/15 * t)

where d is the child's distance from the center of the merry-go-round in feet, and t is the time in seconds. The factor 2π/15 is the angular frequency of the motion, which is equal to 2π/T.

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Answer:

44 cookies

Step-by-step explanation:

1 scoop = 11 cookies

11 cookies * 4 scoops = 44 cookies

Answer:

LCM of 45 and 60: 180

Step-by-step explanation:

The present value of the annuity at the end of year 7 is approximately $47,069.08.

To calculate the present value of an ordinary annuity, we can use the formula:

PV = PMT * [(1 - (1 + r)⁻ⁿ) / r],

where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, the annual payment is $4,500, the interest rate is 8%, and the number of periods is 16. However, the payments start at the end of year 8 and continue until the end of year 23, which means there is a delay of 7 years.

Using the formula, the present value at the end of year 7 can be calculated as:

PV = $4,500 * [(1 - (1 + 0.08)⁻¹⁶) / 0.08] = $47,069.08.

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The final image of the given points after the given translation and dilation of D4,  T3,5 is  (27, -23).

For the given image point of (6, -7) .

First there is a dilation of 4.

Thus,

Image = (6×4 , -7×4)

Image = (24, -28)

Now, there is translation of 3 units right on x axis and 5 unit upward on y axis; T3,5.

Image = (24 + 3, -28 + 5)

Image = (27, -23)

Thus, the final image of the given points after the given translation and dilation is  (27, -23).

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Answer:

Jk is parallel to LM

Step-by-step explanation:

Answer:

A

Step-by-step explanation: in translations the shape will stay the same unless dialations if you use transfer paper you can see it

The value of x is 19 and JR is 33 units.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.

From the question, the information available from the question is:

KR = x + 7,

KM = 3X - 5, and

JL = 4X - 10

We have to find the values of  X and JR​.

We know that:

In a parallelogram, this one in particular:

KR = RM

JR = RL

Also, we know that:

KM = KR + RM, but since KR and RM are the same length, the equation will be:

KM = 2KR.

3x - 5 = 2(x + 7)

3x - 5 = 2x + 14

x = 19.

JL = 4x - 10

JL = 4(19) - 10

JL = 66

Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.

Hence, The value of x is 19 and JR is 33 units.

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Step-by-step explanation:

3 less than the quotient of a number y and 4

= y/4 - 3.

When y = 20, y/4 - 3 = 20/4 - 3 = 2.

Answer:

-125/462.

Step-by-step explanation:

5/22 + 3/7 + (-8/21) + (-6/11)

= 5/22 - 6/11 + 3/7 - 8/21        The LCM of 11 and 22 is 22 and of 7 & 21= 21:

= 5/22 - 12/22 + 9/21 - 8/21

= 1/21 - 7/22                              The LCM of 21 and 22 is 462:

= 22/462 - 147/462

= -125/462.

the milti-step equations true

The probability that the average score of the golfers exceeded 62 = 0.0228

Given the mean score of all golfers, μ = 72

and the Standard Deviation, σ = 4

Number of golf players, n = 64

We have to find the probability that the average score of the golfers exceed 73. i.e., x = 73

This follows the Normal Distribution.

Hence the z-score, Z = (x - μ)/(σ/√n)

                                   = (73 - 72)√64/4

                                   = 2

Probability that the average score of the golfers exceeded 73 = P(Z > 2)

                                                                                                        = 0.0228 [from the z-tables]

The question is incomplete. Find the complete question below:

t\The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the golfers exceeded 73 .

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Answer:

462

Step-by-step explanation:

6×7×10×6 is how you do it