The sequence an = 27( one third )n − 1is graphed below:

coordinate plane showing the points 2, 9; 3, 3; and 4, 1

Find the average rate of change between n = 2 and n = 4. (6 points)

Question 10 options:

1)

negative one fourth


2)

one fourth


3)

−4


4)

4

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies directly with "x"}}{y = k(x)}\hspace{5em}\textit{we also know that} \begin{cases} y=21\\ x=3 \end{cases} \\\\\\ 21=k(3)\implies \cfrac{21}{3}=k\implies 7=k\hspace{5em}\boxed{y=7x} \\\\\\ \textit{when x = -2, what is "y"?}\qquad y=7(-2)\implies y=-14\)

Answer:

D: 12

Step-by-step explanation:

\(\sqrt{9}\) is equal to 3 so 4(\(\sqrt{9}\))=4(3) which equals 12

Answer:

D12

Step-by-step explanation:

Answer:

The answer is 1/4.

I wish you good luck.

Answer: it's hard i thought i could do it but nope dang it

Answer:

Look at the explanation

Step-by-step explanation:

after the second line (4x-2x) +20= 2

--------------

after the 3rd line

2x=2-20=-18

-------------------

after 4th line    x=-18/2

-----------------------------------------------------------------------------

At the end

4(-9+5)=2(-9)+2

-36+20=-18+2

-16=-16 so it is right

Answer:

-13/24

Step-by-step explanation:

find the common denominator then add

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer:

x=32

Step-by-step explanation:

180-122=58

58+90+x=180

148+x=180

32=x

The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

The function of absolute value calculates the separation between a point and an origin.

A less-than-compound inequality is represented by:

\( |x| \leq a\)

then the solution is

\( - a \leq \: x \: \leq \: a\)

according to the question

Temperature T is set to 400°F with a tolerance of 15°F, meaning that the absolute difference between T and 400°F may not be greater than 15°F; in other words:

\( |T - 400| \leq \: 15\)

now apply the solution

\( - 15 \leq \: T - 400 \leq \:15\)

then simplify this

\(T - 400 \ge \: - 15 \\ T \geq \: - 15 + 400 \\ T \geq \: 385\)

\(T - 400 \leq \: 15 \\ T \leq \: 15 + 400 \\ T \leq \: 415\)

Hence, The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

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An expression that represents the measure of the third side is 4x.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

The perimeter of the triangle is 3x² - 7x + 2.

And the measures of the two sides are x² - x - 4 and 2x² - 10x + 6.

The measure of the third side = the perimeter of the triangle - (the total measure of the two sides)

The measure of the third side = 3x² - 7x + 2 - (x² - x - 4 + 2x² - 10x + 6)

The measure of the third side = 3x² - 7x + 2 - (3x² - 11x +2)

The measure of the third side = 4x

Therefore, the measure of the third side = 4x.

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Answer:

relationships between side lengths and angles of triangles

Step-by-step explanation:

Answer:

Study of the angles and triangles

Step-by-step explanation:

It will take 8 hours for 4 painters to paint a building

Using direct variation  formula

t = k * n

where

t is the time it takes to paint the building,

n is the number of painters and

k is the constant of proportionality.

For the problem we have that

it takes 7 painters 14 hours to paint the building

solving for k

14 = k * 7

k = 2

time for 4 painters

t = 2 * 4

t = 8

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Answer:

C. Each person will receive between 3 and 4 liters

Step-by-step explanation:

because if you divide 27 by 8 you'll get 3.375

Answer:

They are all ready rounded to the nearest Hundred ??

Step-by-step explanation:

They are already

Answer:

first one is 5000 and second one is 2000

Step-by-step explanation

I learned this already

The correct answer to the given question about irrational number is option d. -5.690184489​.

An irrational number is a number that cannot be expressed as a fraction of two integers and has an infinite, non-repeating decimal expansion. Out of the given options, the number that is most likely an irrational number is -5.690184489. This is because the other three options are repeating or terminating decimals, which means they can be expressed as fractions of two integers. For example, 1.500000000... can be expressed as 3/2, -7.855555555... can be expressed as -7855/999, and -9.121212121... can be expressed as -272/29. On the other hand, -5.690184489 is a non-repeating, non-terminating decimal, which makes it likely to be an irrational number. However, we cannot say for certain whether it is irrational or not without further information.

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Answer:

Step-by-step explanation:

SR and SQ

Option a. The car is 115.47 feet from the building is correct for the given right triangle.

A trigonometric formula known as the rule of sines connects any triangle's sides and angles. It claims that for all three sides of a triangle, the ratio of the length of one side to the sine of the angle opposite that side is the same. In other words, if a triangle has angles A, B, and C opposing its sides and sides a, b, and c, then:

If a/sin(A) = b/sin(B) = c/sin(C), then

If some of the other sides and angles of a triangle are known, this formula can be used to solve for those unknown sides or angles. However, it is restricted to triangles and calls for the measurement of at least one angle and one side's length.

The situation can be depicted as a right triangle, with building 200 feet, the angle of depression is 30 degrees.

Now,

tan(30) = opposite/adjacent = 200/distance

distance = 200/tan(30) ≈ 115.47 feet

Hence, option a. The car is 115.47 feet from the building is correct for the given right triangle.

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Answer:

Sorry, you didn't post an image.

Step-by-step explanation:

You can make a new question with an image.

\(\sqrt{(24-0)^{2}+(10-0)^{2}}=\boxed{26}\)

Answer:

26

Step-by-step explanation:

√(24 - 0)2 + (10 - 0)2

= √(24)2 + (10)2

= √676 and that would equal

26

The given statement "The random sample of 500 park users indicated that the average number of visits per month was 4.56. This is a statistic by the city council" is true because it is a numerical measure.

In statistics, a statistic is a numerical measure that summarizes a sample of data. It is used to estimate or infer the characteristics of the population from which the sample was drawn. The value of a statistic is calculated from the sample data and is subject to random variability due to sampling error.

In this case, the Parks and Recreation manager for the city of Detroit has reported that a random sample of 500 park users indicated an average of 4.56 visits per month. This value is calculated from the sample data and represents a statistic, as it is based on a sample and is subject to sampling variability.

The city council should view this value as a statistic and not as a parameter, which is a numerical measure that describes a characteristic of a population.

While the sample statistic can be used to make inferences about the population parameter, it is important to recognize that the sample statistic is subject to random variability and may not perfectly represent the population parameter.

Therefore, the statement that the value of 4.56 visits per month should be viewed as a statistic by the city council is true.

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Answer:

11/3 or 3 2/3

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Based on the given choices and information provided, the correct options are: 17) a) [532.00;548.00], 18) b) Do not reject H0 at the 5% significance level,  19) a) Reject H0 at the 5% significance level,  20) c) 0.248.

Question 17: We can use the student-t distribution table (t table) to generate confidence intervals when:

a) the size of the random sample is small.

Question 18: Suppose that we want to test: H0: μ = μ0, H1: μ ≠ μ0. If the z-score (test statistic) is 1.65, with the significance level (α) = 0.02, we then:

b) Do not reject H0 at the 5% significance level.

Question 19: Suppose that we want to test: H0: μ = μ0, H1: μ < μ0. If the t-score (test statistic) is -2.7, with the significance level (α) = 0.05 and sample size (n) = 45, we then:

a) Reject H0 at the 5% significance level.

Question 20: In a sample of 48 pieces, 6 were defective. The lower confidence limit at the 99% confidence level for the population proportion of defective pieces is:

c) 0.248.

Therefore, based on the given choices and information provided, the correct options are:

17) a) [532.00;548.00]

18) b) Do not reject H0 at the 5% significance level

19) a) Reject H0 at the 5% significance level

20) c) 0.248.

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Answer:

\(f(x)=(x+4)(x-7)(x-1)\)

Step-by-step explanation:

zeroes are when you plug in that x value and get y=0

therefore if you set x = that number and solve for 0 you get a "function"

multiplying these together will yield the complete 3rd degree polynomial

x = 1

x-1=0

x=7

x-7=0

x=-4

x+4=0

\(f(x)=(x+4)(x-7)(x-1)\)

If needed you could expand but I'm too lazy

Answer:

(3,1)

Step-by-step explanation:

Solution

We are required to graph the inequalities as shown below

Answer: 60 square inches

Step-by-step explanation: Here you go!

Area =

b1 + b2 ×h

2

=

12 + 18 × 4

2

= 60 inches2

Answer:

720

Step-by-step explanation:

Out of 80 students the no. of students who sign up=48

So, out of 1200 students 48×1200÷80=720 students sign up.

Answer:

180

Step-by-step explanation:

Answer:

2/10

Step-by-step explanation:

just look at the table of outcomes to see how many have 3 or more 'T's

there are 2 of them out of 10