PLEASSEEEEEE HELP!!!! THANK YOU SO MUCH!

To reduce a fraction, you divide the numerator and denominator by the same number.

This number is the greatest common divisor (GCD) of the numerator and denominator. By dividing both the numerator and denominator by their GCD, you simplify the fraction to its simplest form. The GCD is the largest number that evenly divides both the numerator and denominator without leaving a remainder.

Dividing by the GCD ensures that the fraction is expressed in its lowest terms, where the numerator and denominator have no common factors other than 1. This process eliminates any common factors and reduces the fraction to its simplest representation.

Therefore, To reduce a fraction, you divide the numerator and denominator by the same number. Option c is correct.

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The volume of the solid obtained by rotating the region bounded by y = 5sin(5x), y = 0, and 0 ≤ x ≤ π/5 about the y-axis is (50π/3)(1 - cos(π)) = 100π/3.

To find the volume of the solid using the method of cylindrical shells, we integrate 2πrhΔx over the interval 0 to π/5, where r represents the distance from the y-axis to the shell (which is x) and h represents the height of the shell (given by y = 5sin(5x)). The width of the shell, Δx, is represented by dx.

Integrating 2πx(5sin(5x))dx from 0 to π/5, we obtain (50π/3)(1 - cos(5π/5)) = 100π/3.

Therefore, the volume of the solid obtained by rotating the region bounded by y = 5sin(5x), y = 0, and 0 ≤ x ≤ π/5 about the y-axis is 100π/3.

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The range of the function f(x) = 4x + 9 is R = {-7, 1, 9, 17}. Option D is the correct option.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given function is f(x) = 4x + 9.

The domain of the function is  D = {-4, -2, 0, 2}.

To find the rage of the function putting x = -4, -2, 0, 2 in the given function:

When x = -4

f(-4) = 4(-4) + 9

f(-4) = -16 + 9

f(-4) = -7

When x = 0

f(0) = 4(-0) + 9

f(0) = 0+ 9

f(0) =9

When x = 2

f(2) = 4(2) + 9

f(2) = 8 + 9

f(2) = 17

The set of the value of f(x) at  x = -4, -2, 0, 2 is the range of the function.

The range of the function is R = {f(-4), f(-2), f(0), f(2)} = {-7, 1, 9, 17}

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Answer:

Tell me you address right now!!!

Step-by-step explanation:

I am gonna call police for help!

Answer:

16.30

Step-by-step explanation:

It is 16.30 because 8.65+7.65 = 16.30

Answer:

10: the son is 12

11. W = 12.5 inches    L: 37.5 inches

12.  25 hours at his weekday job and 15 hours at his weekend job.

hope you got 13 right! Also I don't really have a step-by-step explanation I kinda just did them in my head so be careful with them. Good Luck!  

Step-by-step explanation:

:P

Answer:

5

Step-by-step explanation:

The phase shift is C/B=5/2

We have given that the equation of  the sine wave

\(f(x)=sinx\\G(x)=\frac{1}{3} sin(2x-5)+1\)

The formula f(x)=A sin(Bx-C)+D

by comparing the g(x) above formula

Phase shift is C/B

C=5 and B=2

Therefore the phase shift is C/B=5/2

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Answer:

5/2

Step-by-step explanation:

Answer:

It crosses through 0,-23) and (4.6,0)

Step-by-step explanation:

The exponential function that passes through (0,3) and (1,6) is \(f(x) = 3(2^{x})\)

An exponential function is a mathematical function in which an independent variable appears in the exponent. In other words, the function has the form f(x) = \(a^{x}\), where 'a' is a constant greater than 0 and not equal to 1, and 'x' is the independent variable.

To find the exponential function that passes through (0,3) and (1,6), we need to determine the values of 'a' and 'b' in the function \(f(x)=a(b^{x})\).

First, we can use the point (0,3) to find the value of 'a'. Plugging in x=0 and y=3, we get:

3 = \(ab^0\)

3 = a

Next, we can use the point (1,6) to find the value of 'b'. Plugging in x=1 and y=6, we get:

6 = \(ab^1\)

6 = 3b

b = 2

Now that we have the values of 'a' and 'b', we can write the exponential function in the form \(f(x)=a(b^{x})\). Substituting 'a' and 'b' into the equation, we get: \(f(x) = 3(2^{x})\)

Therefore, the exponential function that passes through (0,3) and (1,6) is \(f(x) = 3(2^{x})\)

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The answer is:

Answer:

C. 1.05

if u mark as brainly thatll be cool

The common ratio she used is 1.05

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Yui notices that each month’s total is 5% greater than the previous month’s total.

Now, let the previous month saving be x.

Saving after End of second Month

= Previous Month Saving + (5% of Previous Month Saving)

= x + (5 % of x )

= x + (5*x/100)

= x + 0.05x

= 1.05x.

Hence, Yui Salary is 1.05 times of Previous Month salary.

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this is the answer for this question

Answer:

The domain is found depending on the information you're given. In a table, the domain is found by taking all the x values given and listing them least to greatest. Same with ordered pairs. In a graph, the domain is found by first seeing if there are any restrictions and then find the x values that work and have one output.

The range is found the same way, but with the y values.

Hope this helps!!

Answer:

Step-by-step explanation:

We are given that T varies as the square root of the ratio of s and t, and we are trying to find the value of T when s=33 and t=18.

The relationship between T, s and t can be represented by the following equation:

T = k * √(s/t)

Where k is a constant.

We are given that when S=36, t=16, T=18. We can use this information to find the value of k.

We know that T = k * √(s/t)

and, T = 18 when s=36, t=16.

So we can substitute these values in the equation

18 = k * √(36/16)

Solving for k, we get:

k = 18/2 = 9

Now that we know the value of k, we can use it to find the value of T when s=33 and t=18.

T = k * √(s/t) = 9 * √(33/18) = 9 * √(11/6) = 9 * √(11/6)

The value of T when s=33, t=18 is 9 * √(11/6),

It is not possible to give the exact value of T because the value of the square root of (11/6) is not a whole number.

Answer:

50 holes

Step-by-step explanation:

it drills 12 holes per 6 min. 12 divided by 6 is 2.

2 holes per min.

2 times 25 =50

:)

Answer:

The semi-circles form an entire circle with a diameter of 74.

The radius is 37

The area of the rectangle is 95 x 74 = 7030

The area of the circle is 3.142 x 37*37 = 4298.66

The total area is 11328.66

The total area of the poster would actually be 792 square cm, which includes the area of the margins (36 square cm) and the area of the printed material (756 square cm)

To find the smallest area of the poster, we need to determine the size of the poster such that the printed material takes up the maximum amount of space, while still satisfying the margin constraints. Here's the detailed explanation and calculation:

The area of the top and bottom margins is 8 cm × poster width = 8 cm × w.

The area of the side margins is 10 cm × poster height = 10 cm × h.

Total area of the margins = 2 × (8 cm × w) + 2 × (10 cm × h) = 36 cm.

Available space for the printed material = 762 cm - 36 cm = 726 cm.

The optimal dimensions of the printed material would be the closest pair of factors of 726 that add up to 36, which are 18 and 42 cm.

The area of the printed material would be 18 cm × 42 cm = 756 cm.

The total area of the poster = 756 cm + 36 cm = 792 cm.

Therefore, the dimensions of the poster with the smallest area are 756 cm and the total area of the poster is 792 square cm.

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The equation that is equal to 72 is 8 x 9.

1. To find the equation that is equal to 72, we need to consider different mathematical operations and numbers that can be combined to yield the desired result.

2. One way to express 72 is through multiplication. Let's try different combinations of numbers to see if any multiplication equation equals 72.

3. We can start by examining factors of 72. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

4. By testing various combinations of these factors, we can determine which one equals 72.

5. After evaluating the different combinations, we find that the equation 8 x 9 equals 72.

6. Therefore, the equation 8 x 9 is the one that is equal to 72.

It's important to note that there might be other equations or operations that can also yield a result of 72, such as addition or subtraction, but based on the given information, multiplication is the operation used to obtain the desired outcome.

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The difference between exponents \((a^n)^m = a^{mn}\) and \(a^nb^n = (ab)^n\) has been described below

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a \times a \times a \times....... \times a\) (m times), a is the base and m is the index.

The laws of index are-

\(a^m \times a^n = a^{m + n}\\a^m \div a^n = a^{m-n}\\a^0 = 1\\a^{-n} = \frac{1}{a^n}\\\\a^m b^m = (ab)^m\\(\frac{a}{b})^n = \frac{a^n}{b^n}\)

In case of  \((a^n)^m = a^{mn}\), the base is single but in case of \(a^nb^n = (ab)^n\), the base is a product of two numbers

If the base can be expressed as a product of different numbers,

\(a^nb^n = (ab)^n\) is used

If the base cannot be expressed as a product, then \((a^n)^m = a^{mn}\) is used

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Step-by-step explanation:

one angle=70 degress+×

third=60 degrees

70+×+60=130

180_130=50 degrees

Answer:

Your answer is 12!

Step-by-step explanation:

The number of servings of oatmeal are there in the package are 12.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a package contains 4 cups of oatmeal.

There is 1/3 cup of oatmeal in each serving.

Now, total number of servings = 4 ÷1/3

= 4×3

= 12

Therefore, the number of servings of oatmeal are there in the package are 12.

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If you have more than $250,000 to deposit, you should consider spreading your money across multiple accounts or banks to ensure that your funds are fully insured by the FDIC (Federal Deposit Insurance Corporation).

If you have more than $250,000 to deposit, you can safely store your deposits by spreading them across multiple accounts and/or banks. This strategy is commonly referred to as "deposit insurance coverage" and is provided by the Federal Deposit Insurance Corporation (FDIC). In this way, if any one bank fails, you will still have access to your insured funds through the other banks.

A second option is to use the CDARS program. The Certificate of Deposit Account Registry Service is a program that can be utilized by investors to deposit their funds in CDARS member banks. The service allocates these deposits across multiple banks to guarantee that the funds are fully insured.

The third option is to seek the services of an FDIC-insured bank that offers deposit insurance coverage beyond the $250,000 limit. These banks may provide higher deposit insurance coverage, and you can inquire with your bank to determine if they offer this service.

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To find the volume of a solid obtained by rotating a region, you'll need to use the method of disks or washers, depending on the specific problem. The terms "long answer" are not relevant to the calculation.

1. Identify the region you want to rotate and the axis of rotation.
2. Set up an integral using the method of disks or washers, depending on the given problem.
  - Disks: Use the formula V = π * ∫[R(x)]^2 dx from x=a to x=b, where R(x) is the radius of the disk and a and b are the bounds of the region.
  - Washers: Use the formula V = π * ∫([R(x)]^2 - [r(x)]^2) dx from x=a to x=b, where R(x) is the outer radius and r(x) is the inner radius.

3. Evaluate the integral to find the volume of the solid.

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The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

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Answer:

Last one is wrong

Step-by-step explanation:

It should be Slope then 1.00

There were 14 participants in each condition in the study, with a total sample size of 28. To determine the number of participants in each condition, we need to look at the degrees of freedom in the one-way ANOVA output.

In this case, the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26. Since the ANOVA assumes equal sample sizes across conditions, we can calculate the total number of participants by multiplying the sample size by the number of conditions. Using the formula for degrees of freedom, we can calculate the sample size for each condition as follows:
df_between = k - 1
df_within = N - k
Where k is the number of conditions and N is the total number of participants.
In this case, df_between = 1 and df_within = 26. Thus,
1 = k - 1
k = 2
Substituting k = 2 into the df_within equation, we get:
26 = N - 2
N = 28
So, the total number of participants across both conditions is 28. Since we assume equal sample sizes, each condition has 14 participants. Therefore, the number of participants in each condition is 28 / 2 = 14.Therefore, we can conclude that there were 14 participants in each condition in the study, with a total sample size of 28. In summary, given the one-way ANOVA output and assuming equal sample sizes across conditions, we can use the formula for degrees of freedom to calculate the sample size for each condition and determine that there were 14 participants in each condition in the study.

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The given statement "A continuous random variable can have a finite set of integer values." is False because a continuous random variable takes on values in a continuous range, such as all real numbers between two limits.

It can take on any value within this range, including non-integer values, but the probability of any one specific value is zero.

On the other hand, a discrete random variable takes on a finite or countably infinite set of distinct values with positive probabilities assigned to each value.

For example, the number of cars in a parking lot or the number of heads obtained in a series of coin flips are discrete random variables. The values they can take are finite integers, not continuous.

It is important to understand the difference between continuous and discrete random variables as they have different probability distributions and require different methods for analysis.

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Step-by-step explanation:

3(x - 3) = 3(2x - 3)

3x - 9 = 6x - 9

- 3x - 9 = -9

-3x. = 0

x = 0

The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115

According to the statement

we have to find that the what percent of the population has an iq over 115.

And from given information,

the mean iq score is 100 and the standard deviation is 15.

And

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

And by use of this formula, we find the percentage of the population has an iq over 115.

Then the result will comes as 100%.

hence, 100%-Norm.Dist(value,mean,sd,true)

So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.

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By using trigonometry, it can be calculated that

The value of sina is \(\pm \frac{1}{\sqrt{3}}\)

What is Trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions. They are

\(sin \theta, \ cos\theta, \ tan \theta, \ cot\theta, \ sec\theta, \ cosec\theta\)

\(sin\theta = \frac{perpendicular}{hypotenuse}\\\\cos\theta = \frac{base}{hypotenuse}\\\\tan\theta = \frac{perpendicular}{base}\\\\cot\theta = \frac{base}{perpendicular}\\\\sec\theta = \frac{hypotenuse}{base}\\\\cosec\theta = \frac{hypotenuse}{perpendicular}\)

Trigonometry is a very important tool in mathematics.

Here, the trigonometric equation is

sec 2a = 3

cos 2a = \(\frac{1}{3}\)

we know,

\(1 - cos 2a = 2 sin^2a\\\\1 - \frac{1}{3} = 2sin^2a\\\\2 sin^2a = \frac{2}{3}\\\\sin^2a = \frac{2}{3} \times \frac{1}{2}\\\\sin^2a = \frac{1}{3}\\\\ sina = \pm \frac{1}{\sqrt{3}}\)

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