Find each measure

m angle Y

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The recursive formula have the following format:

Where 'd' is the common difference between each term.

From the text, we know that

Plugging those values in our formula, we find that the common difference between our terms is 3.

This gives us the following recursive function:

Evaluating the function at '5' and '6', we get the following:

2 2/6 times 3 is 7. Hope that helps!!

Scientists require observable data, not  conjecture, to support a hypothesis; sound science is grounded in empirical results rather than speculation.

The correct option is E.

Conjecture is defined as an opinion or judgment based on insufficient knowledge. And empirical refers to evidence based on proper facts and investigation rather than theory or pure logic.

. The scientific method requires that a hypothesis be tested in order for it to be considered a scientific hypothesis. Scientists often develop scientific hypotheses on earlier data that cannot be fully explained by the scientific theories now accessible.

The acquisition of an asset with the expectation that it will increase in value in the near future is known as speculating. Many speculators ignore a security's underlying value in favor of focusing solely on price changes.

Types of hypothesis are:

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The integral, ∫ [ (9ˣ - eˣ )/3ˣ ] dx evaluate value is 3ˣ/ ln(3) - eˣ/3ˣ(1 - ln 3). So, the correct answer is option (c).

Integration is defined as the process of finding the area of the region under the curve. This is done by drawing as many small rectangles covering up the area and summing up all their areas. If d/dx(F(x) = f(x), then ∫ f(x) dx = F(x) + C, where C is integration constant and indefinite integrals. We have an integral, say , I = ∫ [ (9ˣ - eˣ )/3ˣ ] dx

and we have to determine its value.

I = ∫ [ (9ˣ - eˣ )/3ˣ ] dx

=> I = ∫ [ (9ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3²ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3²ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3ˣ - eˣ/3ˣ ] dx

=> I = ∫ 3ˣ dx - ∫ eˣ3⁻ˣ dx

=> I = 3ˣ/ ln(3) - eˣ/3ˣ(1 - ln 3) + C

( since, ∫aˣ dx = aˣ/ln a)

where C --> integration constant

So, the required value is 3ˣ/ln(3)-eˣ/3ˣ(1 - ln 3).

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Complete question:

Find integral ∫ [ (9ˣ - eˣ )/3ˣ ] dx .

a) 3ˣ - eˣ/(1 - ln 3) + C

b) 9ˣ/2ln3 - eˣ/(3ˣ ln 3) + C

c) 3ˣ/ln3 - eˣ/3ˣ(1 - ln 3) + C

d) 3ˣ/ln3 - eˣ/3ˣ + C

Hi there!

\(\large\boxed{A = 1200in^{2}}\)

To solve, we can divide the figure into a rectangle and triangle:

The rectangle has dimensions 20in and 30in. The formula A = l × w will be used to find the area.

The triangle has dimensions 40 (10 + 20 + 10) in and 30 in. The formula A = 1/2(b· h) can be used to find the area.

Find the area of each shape:

A = 20 × 30 = 600in²

A = 1/2(40 × 30) = 600in²

Find the sum of both to find the area of the total figure:

600 + 600 = 1200in²

(1) False. \(\{0\}\in\mathscr{U}\) is saying "the set containing only 0 (that is, {0}) is an element of \(\mathscr U\)", but this is not the case. \(\mathscr U\) is the set containing only 0 and 1.

(2) True. \(\{0\}\subset\mathscr{U}\) means "the set {0} is a subset of \(\mathscr{U}\)". 0 itself is an element of \(\mathscr U\), so {0} is indeed a subset of \(\mathscr U\).

(3) True. 0 is clearly an element of \(\mathscr U\).

(4) False. This statement says "0 is a subset of \(\mathscr U\)" but 0 itself is not a set, it's a number.

Answer:

the jacket price was reduced by 40%.

Step-by-step explanation:

if $50 is 100% then every one dollar is 2%.

Percentage of the reduction of price of the jacket is 40%.

Percentage is defined as the parts of a number per fraction of 100.

Percentage is usually denoted by the symbol '%'.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Given that,

Original price of the jacket = $50

Let x be the percentage of reduction of the price of the jacket.

50 - (x × 50) = 30

50x = 50 - 30

50x = 20

x = 20 / 50

x = 0.4

Percentage = 0.4 × 100 = 40%

Hence the percentage reduction is 40%.

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Answer:

No

Step-by-step explanation:

It is not a prime number because it is divisible by 1, 3, 11 and itself, 33.

If it were just 33 and 1, it would be prime, but it has those extra factors

Answer:

18 ft

1500 pounds

Step-by-step explanation:

6 x 3 = 1 8

500 x 3 = 1500

Answer:

Y= 1.1x^2 + 4.2x - 4.9

Step-by-step explanation:

It told me I got it correct.

An equation is formed of two equal expressions. The equation that passes through each of the data sets is y= 1.1x² + 4.2x – 4.9. Hence, the correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

To find the equation that best represents this data set, plot each of the data on the graph, and plot each of the equations as well.

The other way is to check if all the data point when substituted into the equation than it satisfies the equation or not.

Thus, the equation that passes through each of the data sets is y= 1.1x² + 4.2x – 4.9. Hence, the correct option is B.

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The mean of the sample means from all possible samples of size 7 from a Normally distributed population is equal to the population mean.

To understand why this is the case, we can examine the concept of a sampling distribution and the properties of the Normal distribution. When we take random samples from a Normally distributed population, the sample means to follow a Normal distribution as well. This is known as the Central Limit Theorem.

The mean of the sampling distribution, also known as the expected value or average, will be equal to the population mean.

To further explain this, we can consider the principles of permutations and combinations. When we select a sample of size 7 from the population, there are various possible combinations of the data points. Each combination has an equal probability of being selected.

By taking all possible samples and calculating their means, we obtain a sampling distribution. The mean of this sampling distribution is the average of all the sample means, which will be equal to the population mean due to the properties of the Normal distribution.

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In the context of hypothesis testing, a test statistic is; c. A value, determined from sample information, used to test the null hypothesis.

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample. The null hypothesis is said to be a hypothesis where no important difference between the random variables

The test statistic is defined as a value that is computed from the sample data that is used when making a decision about whether or not to reject the null hypothesis.

Looking at the options and based on the definitions above, option C adequately describes the test statistic.

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To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:

V = ∫[a, b] 2πx * f(x) * dx

In this case, the interval is [4, 7], so we need to evaluate the integral:

V = ∫[4, 7] 2πx * f(x) * dx

To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.

Please provide the equation of the curve so that I can assist you in finding the volume of the solid.

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Answer:

3⅗

Step-by-step explanation:

5×3 =15

18 - 15 = 3

therefore

18÷5

is

3⅗

Convert in to mixed fractions 18 and 5

Multiply the newest quotient digit (3) by the divisor 5 . Subtract 15 from 18 . The result of division of 185 is 3 with a remainder of 3 .

Hopefully help:)

Answer:

1.4 · 10³

Step-by-step explanation:

6.58 · \(10^{6}\) ÷ 4.7 · 10³

6.58 ÷ 4.7 = 1.4

\(10^{6}\) - 10³ = 10³

1.4 · 10³

Answer:

3.0926 x 10^10

Step-by-step explanation:

Answer:A, C, and D

Step-by-step explanation:

The probability of not rolling a 5 when rolling a fair 6-sided die is 0.83, or 83%. This means that in repeated rolls of the die, we can expect to see a 5 about 17% of the time.

When rolling a fair 6-sided die, each face has an equal chance of landing. Since we want to find the probability of not rolling a 5, we need to determine the number of favorable outcomes (i.e., the number of outcomes that are not a 5) and divide it by the total number of possible outcomes.

Out of the six faces of the die, only one face represents the number 5. Therefore, there are five favorable outcomes (1, 2, 3, 4, and 6) out of six possible outcomes. Dividing the number of favorable outcomes by the total number of outcomes gives us 5/6, which is approximately 0.83 when rounded to two decimal places.

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Answer:

5.12

Step-by-step explanation:

5.021+.099 is the problem

we can ignore the 5 for now. .021+.099= .120

now we bring back the 5

5.120=5.12

Answer:

3x + 10y

Step-by-step explanation:

Calculate: (6x*3)+(3y*2)-(5x*3)+(2y*2) = 18x + 6y - 15x + 4y

Collect Like Terms: 18x + 6y - 15x + 4y = 3x +10y

Solution: 3x + 10y

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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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Step-by-step explanation:

hope this helps you

,..............

Answer:

(5x + 5) ( 2x - 3)

5x (2x-3) +5(2x-3)

10x^2 - 15x + 10x -15

10x^2 -5x -15

Answer:

0.035

Step-by-step explanation:

Since all of them find a job, the probability is

\(51\%\times51\%\times51\%\times51\%\times51\%\\\\=(51\%)^5\\\\=0.035\)

(rounded to the nearest thousandth)

600 divided to 6 is 100 so 5/6 of 600 is 500

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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The length of a string remains unchanged when the string is reversed.

And the required proof is described below.

To start, we can define the length of a string as the number of characters it contains.

Let's assume we have an initial string, let's call it "s", with a length of "n".

Now, when we reverse a string, each character is flipped in order.

Thus, the last character of "s" becomes the first character of the reversed string, the second-to-last character becomes the second character, and so on.

Since each character in "s" has a corresponding character in the reversed string, and the number of characters remains the same, the length of the reversed string will be "n" as well.

Therefore, we have proven that the length of a string is the same when it is reversed.

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Answer:

120

Step-by-step explanation:

I believe it is, I cant really explain good but trust me :)

Answer:

3

Step-by-step explanation:

The given piece-wise function is:

f(x) = (x - 2) if x < 3,

(x - 1) if x ≥ 3.

To find f(4), we need to evaluate the function at x = 4.

Since 4 is greater than or equal to 3, we use the second part of the function:

f(4) = 4 - 1 = 3.