Q.The total surface area of a cylinder is
3080cm² and height is 21cm. Find its base radius.
Show full process.
​

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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The given equation is 8x - 6(4x) + 11(2x) - 6 = 0.To solve the above equation, we need to simplify it by using the distributive property and combining like terms.

\(8x - 24x + 22x - 6 = 0 6x - 6\)

= 0Now, we will isolate the variable by adding 6 to both sides.

\(6x - 6 + 6 = 0 + 6 6x\)

= 6To find the value of x, we will divide both sides by 6.

x = 1Therefore, the solution of the equation 8x - 6(4x) + 11(2x) - 6

= 0 i

s x = 1.

Note: The solution of an equation is the value(s) of the variable(s) that make the equation true. In this case, when we substitute x = 1 in the given equation, it satisfies the equation and makes it true.

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The shipping and handling price is $174.96

The price of the gold ring = $699.84

Shipping and handling price is 25% of the price of the gold ring.

x% means x/100. So 25 % = 25/100 in ratio.

x% of y can be found by (x/100) x y = xy/100

So, (25/100) x 699.84 = (1/4) x 699.84 = $ 174.96.

So Latrell has to pay an amount of $174.96 for shipping and handling.

Then he total price of ring becomes $699.84 + $ 174.96 = $874.8

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Here, x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.

Let's start by integrating f'(x) to get f(x). We have:

f'(x) = 16(x+2)(6-x)³ - 32(x+6)

Integrating both sides with respect to x:

f(x) = ∫[16(x+2)(6-x)³ - 32(x+6)] dx

Simplifying the integral, we get:

f(x) = -2(x+2)²(6-x)⁴ + 16(x+6) + C

where C is the constant of integration.

Next, we can find the critical points of f(x) by setting f'(x) = 0:

f'(x) = 16(x+2)(6-x)³ - 32(x+6) = 0

Solving for x, we get x = -2 and x = 6 as critical points.

Now, we can use the second derivative f''(x) to determine the concavity of the function. We have:

f''(x) = (6x-x)⁴ = x⁴

Since the second derivative is always positive for x > 0, the function is concave up on the interval (6, ∞).

Similarly, since the second derivative is always negative for x < 0, the function is concave down on the interval (-∞, -2).

At x = -2 and x = 6, the function has an inflection point.

Finally, we know that x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.

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Answer:

3(2r+2) = 6r + 6

Step-by-step explanation:

Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six

Answer:

-5

Step-by-step explanation:

-2x+7>17

-2x>17-7

-2x>10

Divide both sides by -2

-2x<10

-2 -2

x<-5

Note:when dividing with a negative the signs changes

Answer:

Step-by-step explanation:

- 2x + 7 > 17

- 2x > 17 - 7

- 2x > 10

x < 10 ÷ ( - 2 )

x < - 5

x ∈ ( - ∞ , - 5 )

The approach used to test if the function is even or odd is as follows: if it is an even function, it will be symmetrical around the y-axis: f(x)=f (-x). Odd functions are also symmetric about the x- and y-axes: f(x)=-f (-x).

When its input is changed to its negative, the output of an even function remains intact.

An odd function is one whose output changes sign when its parameter is made negative.

We may plot a function and examine its graph to determine if it is even or odd. The function is an even function if the graph is symmetrical around the origin (x=0, y=0). The function is an odd function if the graph is symmetrical around the y-axis (x=0).

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Answer:

Step-by-step explanation:

To find values of y we substitute values of x in the given expression so when x = 0

y = (0)^2 - 6(0) + 3

  = 3.

x = 1, y = 1^2 - 6(1) + 3 = -2

x = 3, y = 3^2 - 6(2) + 3 = 0.

Use these values to draw the graph

(a)  Read this from the graph

Coordinates of the minimum should be 3, -6)

(b) Equation of the line of symmetry is the vertical line through the minimum point ( x = 3).

(c)  Read these from the graph.

(the points where the graph cut the x-axis).

(d) and e - read the values from your graph.

The properties of the least squares line are that the intercept represents the estimated base appraised value for any house in East Meadow, and the slope represents the estimated increase in appraised value for each additional room in the house.

The properties of the least squares line, ? = 74.80 + 19.72x, are as follows:
1. The intercept, ?0, is 74.80. This represents the estimated base appraised value for any house in East Meadow, regardless of the number of rooms. However, there is no practical interpretation for this value, since a house with 0 rooms is nonsensical.

2. The slope, ?1, is 19.72. This represents the estimated increase in appraised value for each additional room in the house. For each additional room in the house, we estimate the appraised value to increase $19,720.

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Answer:

39.5

Step-by-step explanation:

1 Triangle; 3

other Triangle; 4.5

Rectangles; 32

Hope This Helps! :)

Answer:

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Step-by-step explanation:

Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that

sin A / a = sinB/b = sin C / C

= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get

sin(55°)/8 = sinB/b

If we know sinB, we can multiply both sides by 8 to remove a denominator to get

sin(55°) * b / 8 = sinB

multiply both sides by 8 to remove the other denominator to get

sin(55°) * b = sinB * 8

divide both sides by sin(55°) to isolate the b

b = sinB * 8/sin(55°).

Therefore, if we know sinB, we can figure out the length of b.

Because the angles of a triangle add up to 180 degrees, we can say that

180 = 82 + 55 + angle B

180 = 137 + B

subtract both sides by 137 to isolate B

43 = B

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Answer:True

Step-by-step explanation:every matrix transformation is a linear transformation

Answer:

0.25

Step-by-step explanation:

do y2-y1 divided by x2-x1

Answer:

1/4

Step-by-step explanation:

\(m=\frac{7-6}{7-3} =\frac{1}{4}\)

I hope this help you

Ricky has left a large-size 2/3 pint of milk and the division sentence of the model tells a large-size serving left will be  1/2 ÷ 3/4.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

We have been given that a large-size serving of milk at the restaurant contains 3/4 pint. Ricky has 1/2 pint of milk left in his glass.

The division sentence of the model tells a large-size serving is left will be:

⇒ 1/2 ÷ 3/4

⇒ (1/2) / (3/4)

⇒ (1/2) × (4/3)

Apply the multiplication operation,

⇒ (4/6)

⇒ 2/3

Hence, Ricky has left a large-size 2/3 pint of milk and the division sentence of the model tells a large-size serving left will be  1/2 ÷ 3/4.

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The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

a. Continuous random variable

b. Discrete random variable

c. Discrete random variable

d. Continuous random variable

e. Discrete random variable

f. Not a random variable

a. The height of a randomly selected giraffe is a continuous random variable because it can take on any value within a certain range.

b. The number of points scored during a basketball game is a discrete random variable because it is a countable number.

c. The gender of college students is a discrete random variable because it is a categorical variable with two possible values.

d. The amount of rain in City Upper B during April is a continuous random variable because it can take on any value within a certain range.

e. The number of amount fish caught during a fishing tournament is a discrete random variable because it is a countable number.

f. The number of bald eagles in a country is not a random variable because it is a fixed number and not a random sample.

The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

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Answer:

2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536

2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748

Step-by-step explanation:

The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.

2a:

a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}

a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}

a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.

a₈ = -1536

2b:

a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)

a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}

a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}

a₈ = 8748

Mr. Miller should clarify the difference between length and width and how they relate to the dimensions of a rectangular prism. He could use visual aids or examples to help his students understand the concept better.

Mr. Miller should:

1. Explain to his students that the terms length, width, and height in the formula for the volume of rectangular prisms can represent any of the three dimensions, as long as they are consistent throughout the calculation.
2. Remind his students that the volume of a rectangular prism can be calculated by multiplying its three dimensions (length, width, and height) together, regardless of the order.
3. Encourage his students to focus on understanding the concept of volume and how it relates to the dimensions of rectangular prisms, rather than getting caught up in the specific labels of the dimensions.

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The matching based on the information given will be:

A composite number is a positive integer greater than 1 that has at least one factor other than 1 and itself. In other words, it is a number that can be divided by more than just 1 and itself, such as 4.

The least common denominator (LCD) is the smallest number that two or more denominators can be multiplied by to obtain a common denominator.

Categorical data is data that can be sorted into categories or groups based on non-numerical criteria. For example, the colors of cars on a parking lot or the types of pets in a household are both categorical data.

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In a right triangle, the relationship between the acute angles can be expressed using trigonometric functions. Given the relationship sin(2x-4) = cos(46), we can solve for x.

First, let's rewrite the equation using the identity sin(θ) = cos(90° - θ): cos(90° - (2x-4)) = cos(46). Simplifying the equation, we have: cos(2x - 86) = cos(46). For the two sides of the equation to be equal, the angles inside the cosine function must be equal. Therefore, we have: 2x - 86 = 46. Solving for x: 2x = 46 + 86. 2x = 132. x = 132/2. x = 66. Therefore, the value of x is 66.

None of the given answer choices (20, 21, 24, 25) match the calculated value of x.

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The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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Answer: A

Step-by-step explanation:

Answer:

1. How many packages are delivered each hour.

2. Find the correlating variable on the graph.

3. 105 packages

4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.

The mathematical equation representing the statement "The area of a circle is the product of the number and the square of the diameter" using the symbols defined in the problem (A for area, d for diameter) is A = π * (d^2)

The equation A = π * (d^2) represents the relationship between the area of a circle and its diameter.

In this equation:

To calculate the area of a circle using this equation, you need to square the diameter and multiply it by π. The square of the diameter (d^2) represents the area of a square with sides equal to the diameter, and multiplying by π scales it to the actual area of the circle.

By substituting the appropriate value for the diameter (d), you can calculate the corresponding area (A) of the circle.

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Question:

What is 172 divided by 2?

Answer:

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 2 on the left side and the dividend 172 on the right side like this:

   2 ⟌ 1 7 2

Step 2:

The divisor (2) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   2 ⟌ 1 7 2

Step 3:

Multiply the divisor by the result in the previous step (2 x 0 = 0) and write that answer below the dividend.

       0    

   2 ⟌ 1 7 2

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   2 ⟌ 1 7 2

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (7) like this:

       0    

   2 ⟌ 1 7 2

     - 0    

       1 7  

Step 6:

The divisor (2) goes into the bottom number (17), 8 time(s). Therefore, put 8 on top:

       0 8  

   2 ⟌ 1 7 2

     - 0    

       1 7  

Step 7:

Multiply the divisor by the result in the previous step (2 x 8 = 16) and write that answer at the bottom:

       0 8  

   2 ⟌ 1 7 2

     - 0    

       1 7  

       1 6  

Step 8:

Subtract the result in the previous step from the number written above it. (17 - 16 = 1) and write the answer at the bottom.

       0 8  

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1  

Step 9:

Move down the last digit of the dividend (2) like this:

       0 8  

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1 2

Step 10:

The divisor (2) goes into the bottom number (12), 6 time(s). Therefore put 6 on top:

       0 8 6

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1 2

Step 11:

Multiply the divisor by the result in the previous step (2 x 6 = 12) and write the answer at the bottom:

       0 8 6

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1 2

         1 2

Step 12:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

       0 8 6

   2 ⟌ 1 7 2

     - 0    

       1 7  

     - 1 6  

         1 2

     -   1 2

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 172 divided by 2 calculated using Long Division is:

86

0 Remainder

0.172 divided by 2 is equal to approximately 0.086.

To divide 0.172 by 2, you can set up the division like this:

0.172 ÷ 2

To make the division easier, you can convert the decimal 0.172 to a fraction:

0.172 = 172/1000

Now, rewrite the division as a fraction divided by 2:

172/1000÷ 2

To divide fractions, you can multiply the numerator by the reciprocal of the divisor (2):

172/1000× 1/2

Now, multiply the numerators and denominators:

Numerator: 172 × 1 = 172

Denominator: 1000 × 2 = 2000

So, the result is:

172/2000

To simplify the fraction, find the greatest common divisor (GCD) of the numerator (172) and the denominator (2000), and then divide both the numerator and denominator by the GCD.

The GCD of 172 and 2000 is 4.

Divide both the numerator and denominator by 4:

(172 ÷ 4) / (2000 ÷ 4)

This simplifies to:

43/500

=> 43 ÷ 500 ≈ 0.086

So, 43/500 as a decimal is approximately 0.086.

So, 0.172 divided by 2 is equal to approximately 0.086.

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Answer:

50

Step-by-step explanation:

60% of 50 is 30

The equation of the line through the points (0, 9) and (3, 0) is y = -3x + 9.

To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we calculate the slope (m) using the formula: m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. Substituting the values (0, 9) and (3, 0), we get m = (0 - 9)/(3 - 0) = -9/3 = -3.

Next, we choose one of the points, let's say (0, 9), and substitute its coordinates into the point-slope form: y - 9 = -3(x - 0).

Simplifying the equation, we get y - 9 = -3x, or rearranging it, y = -3x + 9.

Therefore, the equation of the line passing through the points (0, 9) and (3, 0) is y = -3x + 9.

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do you need the equations solved? i'll answer in the comments after you lmk what i need to do with the equations lol

Answer:

no but 1+1=2 hehe

Step-by-step explanation:

follow me on tt: dxddy.drip0

Cheryl is working with qualitative data as she collects information on the different colors of cars, which involves classifying the cars into distinct categories based on their color

Cheryl is collecting data on car color, which is a qualitative type of data.

Qualitative data is descriptive in nature and categorizes or classifies characteristics or attributes. It does not involve numerical measurements or values. Instead, it represents qualities or characteristics that can be observed and described. In the case of car color, the data collected would fall into different categories or groups based on the color of the cars.

For example, the data could include categories such as red, blue, green, white, black, silver, etc. Each car would be classified into one of these categories based on its color. The data is not represented by numerical values, but rather by labels or names that describe the different colors.

In contrast, quantitative data involves numerical measurements or values. It represents quantities or amounts that can be measured or counted. This type of data can be further categorized as discrete or continuous. Discrete data consists of separate and distinct values that are counted, while continuous data represents a range of values that can be measured on a continuous scale.

Since car color does not involve numerical measurements or values, it falls under the category of qualitative data. Cheryl is collecting information about the different categories or classifications of car colors, which helps to describe and categorize the cars based on their visual attributes.

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