State a and d for the arithmetic sequence below:
1, 3, 5, 7...

a=

d=

Answer:

22,23,24

Step-by-step explanation:

Each term is being added by one. So if you add 1 to the next 3 terms after 21, you get 22,23, and 24.

Answer:

Step-by-step explanation:

It will be a circle with centre ( 2 , 1 ) and radius 3

Answer:

=-240..................

Answer:

x = - 1

Step-by-step explanation:

f(x) = 2x - 10 and f(x) = - 12, then equating gives

2x - 10 = - 12 ( add 10 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Step-by-step explanation:

12

Let A = {a, b, c).

Indicate if each of the following is True or False. The following statement is:

(a)  b ∈ A is true because he element 'b' is present in set A.

(b) A ⊆ A is true

(d) (a, b, c) ∈ A is false

To analyze the statements, let's consider the set A = {a, b, c}.

(a) b ∈ A

This statement is True. The element 'b' is present in set A.

(b) A ⊆ A

This statement is True. Set A is a subset of itself, as all elements of A are contained in A.

(d) (a, b, c) ∈ A

This statement is False. The expression (a, b, c) represents a tuple or an ordered sequence of elements, whereas A is a set.

Tuples and sets are distinct concepts. In this case, the tuple (a, b, c) is not an element of set A.

In summary:

(a) True

(b) True

(d) False

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The difference between the volume of the 2 rectangular prism containers is V = 70 inches³

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Let the difference between the volume of the rectangular prism be D

Now , the amount of sand poured into the container = 375 inches³

And , the dimensions of the first rectangular container = 5 inches x 7 inches x 9 inches

So , the volume of the first rectangular prism V₁ = 5 x 7 x 9 = 315 inches³

where amount of sand poured into the container > volume of the first rectangular prism

Therefore , the sand cannot be poured into the prism container

b)

The height of the second rectangular container = ( h + 2 ) inches = 11 inches

So , the volume of the second prism container V₂ = 5 x 7 x 11

The volume of the second prism container V₂ = 385 inches³

And , the difference in the volumes of the 2 containers V = V₂ - V₁

On simplifying , we get

The difference between the volume of the 2 rectangular prism containers is V = 385 - 315

The difference between the volume of the 2 rectangular prism containers is V = 70 inches³

c)

The dimensions of the container which contains 375 inches³ of sand is given by V₃ = 5 inches x 5 inches x 15 inches

Hence , the volume of the rectangular prism is solved

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The complete question is :

Jack has 375 in. of sand to pour into a rectangular prism. The base of the prism is 5 inches by 7 inches and the height is 9 inches.Part A

Will the sand fit in the container? Explain why or why not.

Part B

A second rectangular prism is 2 inches taller than the first.

What is the difference in the volumes of the 2 containers? Show your work.

Part C

What are the measurements of a rectangular prism that will hold exactly 375 in. of the sand? Justify your answer.

Answer:

perimeter is 20 cm

Answer:

T(20)  = 300

Ambient Temp = 70

Initial Temp = 375

Step-by-step explanation:

The probability that they both are green is 13.22%. If the selection is done with replacement, then the probability of selecting a green M&M on the first draw is 4/11 (since there are 4 green out of 11 total M&Ms).

The probability of selecting another green M&M on the second draw is also 4/11, since the first M&M is replaced before the second selection is made, so the number of green and blue M&Ms remains the same. Therefore, the probability of selecting two green M&Ms with replacement is the product of the probabilities of selecting a green M&M on the first and second draws:

P(two green with replacement) = P(green on first draw) * P(green on second draw)
= (4/11) * (4/11)
= 16/121
≈ 0.1322
or about 13.22%.

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Answer:

Step-by-step explanation:

t/8=6/2

t=48/2

t=24 ft

The probability that Oscar looked in location A is equal to the probability of flipping heads, which is 1/2.

The probability that Oscar looked in location A can be determined by considering the probability of two independent events happening: 1) Oscar flipping a fair coin and 2) Oscar finding the dog on the first day.
Since the coin is fair, there are two possible outcomes: heads (H) or tails (T). Each outcome has an equal probability of 1/2.
If Oscar flips heads, he will look in location A. If he flips tails, he will look in another location (let's call it B).
Now, let's consider the second event: Oscar finding the dog on the first day. Since we know that he found the dog, we can conclude that he must have looked in location A.
Therefore, the probability that Oscar looked in location A is equal to the probability of flipping heads, which is 1/2.
To summarize, if Oscar flips a fair coin to determine where to look on the first day and finds the dog on the first day, the probability that he looked in location A is 1/2.

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Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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Answer:

$23.63

Step-by-step explanation:

Your just adding decimals if I understood the question. So basically you just multiply 6.95 by 3 which gets you 20.85.

And then you divide 6.95 by 10 which is .695, and then multiply that by 4 which gets you to 2.78.

So now you just add those two up

20.85 + 2.78 = 23.63

Your welcome :)

Yours truly, Madison Estrella

Answer:

3/16

Step-by-step explanation:

Let the size of the whole apple be T

Given that 3/4 of the apple is left, it means the size left

= 3T/4

Since Victor plans to eat 1/4 of the pie that was left, this amounts to

1/4 * 3T/4

= 3T/16

This means that Victor will eat 3/16 of the whole pie tomorrow

Answer:

(190*3)=x

x being the original price

x÷3=190

x=570 is the original price

Answer:

It was greater from 2015 to 2016.

Step-by-step explanation:

From 2015 to 2016 it was a 30 person difference

From 2014 to 2017 there was a 5 person difference

Answer:

by dividing with a small number like 2

Step-by-step explanation:

the LCM of 4 is4

Answer: when the value on each side of the equal sign is the same

Step-by-step explanation: for example, 9=9 is a true equation. 5+4 = 9 is a true equation

Answer:

It's 84

Step-by-step explanation:

To calculate the area of a triangule you need to use this formula:

B * H / 2

So:

12 * 14 / 2 = 84

Hope this helps :)

Pls brainliest...

The correct answer is option (b): increases, i.e., if the variability (p times q) increases and the sample size remains the same, then the standard error increases.

The standard error measures the variability of sample means around the true population mean. It is calculated as the standard deviation of the sample divided by the square root of the sample size. The formula for standard error is:

SE = s / √n, where s is the standard deviation and n is the sample size.

When the variability (p times q) increases, it means that there is more dispersion or spread of values in the population. This increased variability leads to a larger standard deviation (s) in the sample, assuming the sample size remains the same.

Since the standard error is calculated by dividing the standard deviation by the square root of the sample size, an increase in the standard deviation will result in a larger standard error. Therefore, if the variability increases and the sample size remains constant, the standard error will increase.

In summary, the standard error increases when the variability increases and the sample size remains the same. This is because a larger standard deviation implies more uncertainty in the sample mean estimate, resulting in a larger standard error.

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f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Answer:

40meters per minutes

Step-by-step explanation:

Answer:

40m/min

Step-by-step explanation:

200m/5min

40m/min

Hope this helps!

According to the question The volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).

To find the volume of the solid obtained by rotating the region bounded by the curves \(x = 6 - 3y$, $x = 0$, and $y = 3$\) about the \($y$\)-axis, we can use the method of cylindrical shells.

The height of each cylindrical shell is the difference between the two curves, which is given by \($(6 - 3y) - 0 = 6 - 3y$\)

The radius of each cylindrical shell is the distance from the \($y$\)-axis, which is simply \($y$\).

The differential volume of each cylindrical shell is then given by \(dV = 2\pi y(6 - 3y) \, dy$.\)

To find the total volume, we integrate the differential volume from \(y = 0$ to $y = 3$:\)

\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)

To solve the integral, let's integrate the expression step by step:

\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)

Expanding the expression, we have:

\($V = \int_{0}^{3} 12\pi y - 6\pi y^2 \, dy$\)

Integrating term by term, we get:

\($V = \left[6\pi \left(\frac{1}{2}y^2\right) - 2\pi \left(\frac{1}{3}y^3\right)\right] \bigg|_{0}^{3}$\)

Simplifying further:

\($V = \left[3\pi y^2 - \frac{2}{3}\pi y^3\right] \bigg|_{0}^{3}$\)

Plugging in the limits of integration:

\($V = \left[3\pi \cdot 3^2 - \frac{2}{3}\pi \cdot 3^3\right] - \left[3\pi \cdot 0^2 - \frac{2}{3}\pi \cdot 0^3\right]$\)

Simplifying:

\($V = \left[27\pi - 27\pi\right] - \left[0 - 0\right]$\)

\($V = 0$\)

Therefore, the volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).

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Answer:

y = 3/8x + 1/8

Step-by-step explanation:

The slope of a perpendicular line is the opposite and reciprocal of the original slope.

-8/3 -> 3/8

Find the new y-intercept.

y = 3/8x + b

2 = 3/8(5) + b

2 = 1.875 + b

0.125 = b

y = 3/8x + 1/8

Best of Luck!

Answer:

Shelby. If Ryann's time was 18.3, not 183 seconds, then the second-place winner would be Ryann.

Step-by-step explanation:

Looking at the table, we see that Madison had the lowest time, (18 seconds) and Shelbie and Tammie follow her in that order (Shelbie came second and Tammie third.) Again, if Ryann's time was 18.3 and not 183 seconds, he would have won second place and Shelbie would have gotten third. Hope this helped!

The linear equation that compares the population y of spoonerville as it relates to the number of years since 2000 be,

y - 150x

Given, In the year 2000, the state of Florida named an existing town after their great and brightest resident.

The town of Spoonerville was founded in 2000 but unfortunately the population decreased by 150 people per year. In 2007 the population was 75,450 people.

Let the population of Spoonerville be y,

and the number of years since 2000 be x

So, the equation be

Population = y - 150x

Hence, the linear equation that compares the population y of spoonerville as it relates to the number of years since 2000 be,

y - 150x

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Answer:

This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?

Step-by-step explanation:

The system of linear congruences 2x ≡ 3 (mod 5) and 3x ≡ 2 (mod 7) has a simultaneous solution, and x ≡ 23 (mod 35) is one such solution.

To determine if the following systems of linear congruences have a simultaneous solution, we need to check if the congruences are consistent with each other. If they are, we can find a solution using techniques such as the Chinese Remainder Theorem.

Let's consider the system of linear congruences:

2x ≡ 3 (mod 5)

3x ≡ 2 (mod 7)

To check if these congruences have a simultaneous solution, we can examine the coefficients and moduli involved.

First, let's solve the congruence 2x ≡ 3 (mod 5). To find a solution, we can multiply both sides of the congruence by the modular inverse of 2 modulo 5. The modular inverse of 2 modulo 5 is 3, so we have:

3 * 2x ≡ 3 * 3 (mod 5)

6x ≡ 9 (mod 5)

Reducing both sides, we get:

x ≡ 4 (mod 5)

Now, let's solve the congruence 3x ≡ 2 (mod 7). Similarly, we can multiply both sides by the modular inverse of 3 modulo 7. The modular inverse of 3 modulo 7 is 5, so we have:

5 * 3x ≡ 5 * 2 (mod 7)

15x ≡ 10 (mod 7)

Reducing both sides, we get:

x ≡ 3 (mod 7)

Now we have obtained two congruences: x ≡ 4 (mod 5) and x ≡ 3 (mod 7). To find a simultaneous solution, we can use the Chinese Remainder Theorem.

By applying the Chinese Remainder Theorem to the congruences x ≡ 4 (mod 5) and x ≡ 3 (mod 7), we can find a unique solution modulo 35.

The solution is x ≡ 23 (mod 35).

Therefore, the system of linear congruences 2x ≡ 3 (mod 5) and 3x ≡ 2 (mod 7) has a simultaneous solution, and x ≡ 23 (mod 35) is one such solution.

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Answer:

Arrowhead +15

Bone +721

Clay bowl +0

Necklace +462

Woven basket -1200

Step-by-step explanation:

the clay bowl is directly at sea level. so, it's +0 away from sea level.