Please answer ASAP please and thank

To find the next term, we add this difference to the last term in the sequence: 62 + 34 = 96.

Therefore, the next item in the sequence is 96.\

Based on the given sequence: 2, 6, 14, 30, 62, we can observe a pattern.

If we look at the differences between consecutive terms, we can see that they are increasing by a factor of 2 each time.

The first difference is 6 - 2 = 4.
The second difference is 14 - 6 = 8.
The third difference is 30 - 14 = 16.
The fourth difference is 62 - 30 = 32.

From this pattern, we can conclude that the differences are increasing by 2 each time.

Now, let's find the next item in the sequence. We can use the pattern we found to calculate the next difference.

The fifth difference would be the fourth difference plus 2: 32 + 2 = 34.

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A line plot can be used as a data display for the distribution of test scores in math class. Thus, the option to choose is TRUE.

A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.

The test score in the math test will be discrete data with repeating frequencies. The score of every individual will moreover be a whole number.

The line plot, as we know, marks the dots across the number line, indicating frequency.

Thus, the scores in the math test can be displayed using a line plot, by indicating each type of mark on the line, and dots above those marks for the number of times the same marks occur.

Thus, the option to choose is true.

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Answer:

\(n=9\)

Step-by-step explanation:

\(3n-18=9\)

\(3n+18=\) +18

\(3n=27\)

\(3(9)=27\)

\(n=9\)

Answer:

C≈18.85

Step-by-step explanation:

Friend 1: Relative frequency of heads = 59/84

Friend 2: Relative frequency of heads = 43/84

Friend 3: Relative frequency of heads = 24/84

Combined relative frequency of heads = 126/252 = 0.5

For 840 flips per friend, relative frequency for heads is expected to be close to 0.5, the probability of heads for a fair coin.

To find the relative frequency for the event "heads" for each friend, we divide the number of times "heads" occurred by the total number of coin flips.

Friend 1: 59 heads out of 84 flips

Relative frequency of heads for Friend 1 = 59/84

Friend 2: 43 heads out of 84 flips

Relative frequency of heads for Friend 2 = 43/84

Friend 3: 24 heads out of 84 flips

Relative frequency of heads for Friend 3 = 24/84

Now, to find the relative frequency for the event "heads" when the friends combine their results, we add up the number of heads (126) and divide it by the total number of coin flips (252, since each friend flipped the coin 84 times).

Relative frequency of heads when friends combine their results = 126/252 = 1/2 = 0.5

If each friend flips a coin 840 times, we can expect the relative frequency for the event "heads" to be close to 0.5. This is because the more coin flips are performed, the closer the relative frequency of heads should get to the probability of getting heads, which is 0.5 for a fair coin.

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The radius of a sphere is typically referred to as the "radius of curvature".

The radius of a sphere is the distance from the center of the sphere to its surface. It is the most basic measure of a sphere's size and can be used to calculate other measurements, such as the surface area and volume of a sphere. It is also sometimes referred to as the "radius of curvature" because it is the distance from the center to the point where the radius of the sphere begins to curve. The radius is a key component in understanding the properties of a sphere, and is often used in mathematical equations related to spheres. Knowing the radius of a sphere is essential for understanding how a sphere behaves and interacts with other objects.

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Answer:

D

Step-by-step explanation:

(9,1) is actually on there

Answer:

25\(x^{4}\)y²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

A = (5x²y)²

  = 5 × 5 × x² × x² × y × y

  = 25\(x^{4}\)y²

The simplified expression with positive exponents only is: 90x^5y.

To simplify the expression (9x^y^2)(10x^3y^(-1)), we can apply the rules of exponents.

When multiplying two terms with the same base, we add their exponents. In this case, we have x raised to different powers (y^2 and 3), and y raised to different powers (2 and -1).

For x, the exponents can be added: y^2 + 3 = y^(2+3) = y^5.

For y, the exponents can be added: 2 + (-1) = 2 - 1 = 1.

Therefore, the simplified expression becomes:

9x^y^2 * 10x^3y^(-1) = 90x^5y^1 = 90x^5y.

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Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

The first step you have to follow is to find k(1) by replacing each x in k(x) for 1:

Now, find g(k(1)), it means, g(-7):

(g°k)(1)=573.

A. isn't correct because functions are by their definition different.

B is true. Domain of both is x>0 and range is 1/2 as large. because of 1/2 factor in first function

C is true . because of -2 it is shifted to the right by 2 and it is shrunk vertically by 1/2

D isn't true because ranges are not the same.

Answer: 1. A. B, C

2. A

3. A

Step-by-step explanation: I just finished the practice

Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.

A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.

By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.

To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.

This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.

Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.

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a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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Answer:

A. 54₁₀

B. 81₁₀

Step-by-step explanation:

To convert from base 4 to base 10, we simply do the following:

A. 312₄ to base 10

312₄ = (3×4²) + (1×4¹) + (2×4⁰)

312₄ = (3×16) + (1×4) + (2×1)

312₄ = 48 + 4 + 2

312₄ = 54₁₀

Therefore, 312₄ is equivalent to 54₁₀.

B. 1101₄ to base 10

1101₄ = (1×4³) + (1×4²) + (0×4¹) + (1×4⁰)

1101₄ = (1×64) + (1×16) + (0×4) + (1×1)

1101₄ = 64 + 16 + 0 + 1

1101₄ = 81₁₀

Therefore, 1101₄ is equivalent to 81₁₀.

The algebraic expression for the given sequence 1, 10, 19 as required to be determined is; a (n) = 1 + ( n - 1 ) 9.

As evident in the task content; it follows that the common difference of the given sequence is constant since; 19 - 10 = 10 - 1 = 9.

On this note, since the nth term of arithmetic sequences take the form;

a (n) = a (1) + ( n - 1 )d

Since the first term is; 1 and the common difference is; 9; the resulting algebraic expression is;

a (n) = 1 + (n - 1)9.

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Thus, S recursively as follows:
Base case: 2 is in S.
Recursive step: If n is in S, then n2 and 2n are also in S.

A recursive definition for the set of all positive integers that have a 2 as at least one of its digits can be created as follows. Let S be the set of all positive integers that have a 2 as at least one of its digits.

Base case: The number 2 is in the set S.

Recursive step: For any n in S, we can obtain a new number in S by adding 2 as a digit to the left of n, or by appending 2 to the right of n. This means that any number in S can be obtained by starting with 2 and applying the recursive step a finite number of times.

Thus, we have defined S recursively as follows:

Base case: 2 is in S.
Recursive step: If n is in S, then n2 and 2n are also in S.

This recursive definition ensures that any positive integer that has a 2 as at least one of its digits can be generated by starting with 2 and applying the recursive step a finite number of times. It also ensures that every number generated in this way will have a 2 as at least one of its digits.

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Answer:

part 2 is A: yes

Step-by-step explanation:

Option B is correct.

We have the two following equations -

A.   5 = -2(x - 1)

B.   5 = -2x + 2

We have to find out how can we get Equation B from Equation A?

According to the distributive property -

a(y + z) = (a x y) + (a x z)

According to the question -

We have -

-5 = -2(x - 1)

Using the distributive property, we can rewrite the right hand side as follows -

-5 = -2(x - 1) = ( -2x ) + (2) = -2x + 2

Hence, option B is correct.

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Given:

The figure of a triangle DEF.

To find:

The coordinate of image of given triangle after reflection over y-axis.

Solution:

The vertices of given triangle are D(1,4), E(4,3), F(2,0).

If a figure is reflected over the y-axis, then the rule of reflection is

\((x,y)\to (-x,y)\)

Using this rule, we get

\(D(1,4)\to D'(-1,4)\)

\(E(4,3)\to E'(-4,3)\)

\(F(2,0)\to F'(-2,0)\)

Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).

Answer:

4 14/15

Step-by-step explanation:

Answer: y=8

Step-by-step explanation:

The volume of sphere in terms of  is 288 cubic inches, if the sphere has a radius of 6 inches.

What is the volume of sphere?

In mathematics, the volume of the sphere defines the capacity of a sphere. It is measured in the cubic unit. Basically, it tells the amount of the air it can hold inside the sphere.

According to the question, the given data state that the sphere has a radius of 6 inches

Using standard formula for volume of sphere is,

Volume of the sphere = (4/3)πr³    

where, r - radius of sphere and it is 6 inches

Therefore, volume of sphere = (4/3)π(6)³ = (4/3)π(216) = 288 Cubic inches

Hence, the volume of sphere in terms of  is 288 cubic inches, if the sphere has a radius of 6 inches.

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Answer:

-5 or -3

Step-by-step explanation:

correct me if im wrong

PLEASE GIVE ME BRAINLEST I WORK HARD

Answer:

-3

Plzzzzz give me Brainliest!!!!!

Answer:

22619.47

Step-by-step explanation:

V=π\(r^{2}\)\(\frac{h}{3}\)

=π·30^2·24/3

≈22619.46711

Answer:

Correct

not mutually exclusive events 1 to 12 and red

Correct

mutually exclusive events 1 to 12 and 25 to 36

Correct

not mutually exclusive events 1 to 18 and odd

Correct

mutually exclusive events black and red

Correct

not mutually exclusive events even and black

Step-by-step explanation:

Answer:

C = 37.6991

Step-by-step explanation:

The equation for the circumference of a circle is given: C = π · d

where, d is the diameter of the circle.

Plug in the value of d = 12 and use the π button on the calculator.

C = π · 12

C = 37.6991

The values of theta that make the equation tan(theta) = 0 true when 0 <= theta <= 4 pi are 0, pi, 2 pi, and 3 pi.

To determine these values, we need to remember that the tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle. This means that when tan(theta) = 0, the opposite side must be equal to 0. This occurs when theta is equal to 0, pi, 2 pi, and 3 pi radians.

We can also use the fact that the tangent function has a period of pi radians. This means that the function repeats itself every pi radians. So, if tan(theta) = 0 at theta = 0, then it will also be equal to 0 at theta = 0 + pi, theta = 0 + 2 pi, and theta = 0 + 3 pi.

Therefore, the values of theta for tan(theta) = 0 true when 0 <= theta <= 4 pi are 0, pi, 2 pi, and 3 pi.

These values can be written as 0, pi, 2 pi, 3 pi and separated by a comma.

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Answer:

Step-by-step explanation:

To calculate the probability of drawing a nickel followed by a quarter without replacement, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels. This can be calculated using combinations, denoted as C(n, r), which represents the number of ways to choose r items from a set of n items. In this case, Ricky is choosing 2 coins from a set of 10 coins:

Total possible outcomes = C(10, 2) = 45

Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is 1 quarter. Thus, the number of favorable outcomes is 1.

Favorable outcomes = 1

Probability (P) of drawing a nickel then a quarter without replacement:

P = Favorable outcomes / Total possible outcomes

P = 1 / 45

Therefore, the probability of selecting a nickel followed by a quarter without replacement is 1/45.

To calculate the probability of drawing a nickel then a dime with replacement, we assume that after each selection, the coin is replaced, and the total number of coins remains the same.

Probability (P) of drawing a nickel then a dime with replacement:

P(nickel then dime) = (Number of nickels / Total number of coins) * (Number of dimes / Total number of coins)

P(nickel then dime) = (2/10) * (5/10)

P(nickel then dime) = 1/10

Therefore, the probability of selecting a nickel followed by a dime with replacement is 1/10.

To calculate the probability of drawing a quarter then a dime with replacement:

Probability (P) of drawing a quarter then a dime with replacement:

P(quarter then dime) = (Number of quarters / Total number of coins) * (Number of dimes / Total number of coins)

P(quarter then dime) = (3/10) * (5/10)

P(quarter then dime) = 3/20

Therefore, the probability of selecting a quarter followed by a dime with replacement is 3/20.

To calculate the probability of drawing a nickel then another nickel without replacement, we need to consider that the second draw must be a nickel and that the first nickel is not replaced.

Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels:

Total possible outcomes = C(10, 2) = 45

Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is only 1 nickel left.

Favorable outcomes = 1

Probability (P) of drawing a nickel then another nickel without replacement:

P = Favorable outcomes / Total possible outcomes

P = 1 / 45

Therefore, the probability of selecting a nickel followed by another nickel without replacement is 1/45.

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