Solve for n:
3n + 2n - 17 = 38

Answer:

ok

Step-by-step explanation:

thank you hjghvcfhjkbvdddjknbchkbb

Answer:

My gaming setup is  Acer 11.6″ Laptop—Best Renewed Gaming Laptop, Intel Core i5-3470 3.2GHz, keychron k3 v2, glorious model d amazon,  Secretlab Titan Evo XL price 1 k dollars aka gaming chair.

The questions are illustrations of Pythagoras theorem and trigonometry ratios.

Pythagoras theorem is used to determine the lengths of the legs of a right triangle.

It is represented as:

\(a^2 = b^2 + c^2\)

Where:

b & c are the legs of the triangle, while a is the hypotenuse

Question 16

Start by calculating the value of x, using the sine ratio

\(\sin(30) = \frac{x}{16\sqrt 3}\)

Evaluate sin(30)

\(0.5 = \frac{x}{16\sqrt 3}\)

Solve for x

\(x = 0.5 * 16\sqrt 3\)

\(x = 8\sqrt 3\)

Next, calculate the length (l) of the boundary between both triangles using Pythagoras theorem

\((16\sqrt 3)^2 = (8\sqrt 3)^2 +l^2\)

\(768 = 192 +l^2\)

Collect like terms

\(l^2 = 768 -192\)

\(l^2 = 576\)

Take the square root of both sides

\(l = 24\)

Given that the angle is 45 degrees, it means that:

\(z = y\)

So, we have:

\(z^2 + y^2 = 24^2\)

\(z^2 + z^2 = 24^2\)

\(2z^2 = 576\)

Divide through by 2

\(z^2 = 288\)

Take the square root of both sides

\(z= 12\sqrt 2\)

Hence, the values of x, y and z are:

\(x = 8\sqrt 3\)

\(y= 12\sqrt 2\)

\(z= 12\sqrt 2\)

Question 18

Start by calculating the value of z, using the sine ratio

\(\sin(45) = \frac{z}{20}\)

Evaluate sin(45)

\(\frac{\sqrt 2}{2} = \frac{z}{20}\)

Solve for z

\(z = \frac{\sqrt 2}{2} * 20\)

\(z = 10\sqrt 2\)

Next, calculate the value of y using tangent ratio

\(\tan(30) = \frac{y}{10\sqrt 2}\)

Solve for y

\(y = \tan(30) * 10\sqrt 2\)

Evaluate tan(30)

\(y = \frac{\sqrt 3}{3} * 10\sqrt 2\)

\(y = \frac{10\sqrt 6}{3}\)

Next, calculate the value of x using sine ratio

\(\sin(30) = \frac{10/3\sqrt 6}{x}\)

Solve for x

\(x = \frac{10/3\sqrt 6}{\sin(30)}\)

Evaluate sin(30)

\(x = \frac{10/3\sqrt 6}{1/2}\)

\(x = \frac{20\sqrt 6}{3}\)

Hence, the values of x, y and z are:

\(x = \frac{20\sqrt 6}{3}\)

\(y = \frac{10\sqrt 6}{3}\)

\(z = 10\sqrt 2\)

Question 20

Start by calculating the value of z, using the sine ratio

\(\sin(45) = \frac{z}{10\sqrt 6}\)

Evaluate sin(45)

\(\frac{\sqrt 2}{2} = \frac{z}{10\sqrt 6}\)

Solve for z

\(z = \frac{\sqrt 2}{2} * 10\sqrt 6\)

\(z = 5\sqrt {12\)

Simplify

\(z = 10\sqrt {3\)

Next, calculate the value of y using tangent ratio

\(\tan(30) = \frac{10\sqrt 3}{y}\)

Solve for y

\(y = \frac{10\sqrt 3}{\tan(30)}\)

Evaluate tan(30)

\(y = \frac{10\sqrt 3}{1/\sqrt 3}\)

Simplify

\(y = 10\sqrt 3 * \sqrt 3\)

\(y = 30\)

Next, calculate the value of x using sine ratio

\(\sin(30) = \frac{10\sqrt 3}{x}\)

Solve for x

\(x = \frac{10\sqrt 3}{\sin(30)}\)

Evaluate sin(30)

\(x = \frac{10\sqrt 3}{1/2}\)

\(x = 20\sqrt 3\)

Hence, the values of x, y and z are:

\(x = 20\sqrt 3\)

\(y = 30\)

\(z = 10\sqrt {3\)

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Answer:

114 cents

Step-by-step explanation:

1. 66÷22=3 cents per inch

2. 3×38=114

3. 114 cents ($1.14) for 38 inches

The relation for x and y is given as y = 26/x. The correct answer is option (B).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The proportionality relation between x and y as

y ∝ 1/x

And, y = 2 at x = 13.

Suppose k is the constant of proportionality.

Then, y = k/x

Substitute y = 2 and x = 13 in the above equation to obtain,

2 = k/13

=> k = 26

Thus, by substituting the value of k the equation can be written as y = 26/x.

Hence, the equation that relates x and y is y = 26/x.

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Answer:

The answer to this question is simply 6.

Step-by-step explanation:

You just need to subtract 6 from 36 to get the product of 5x6 which is 30

Answer:

\(x=-4\)

Step-by-step explanation:

So we have the equation:

\(3(2x+2)=18+4(x-5)\)

Distribute the left and the right:

\(3(2x)+3(2)=18+4(x)+4(-5)\)

Simplify:

\(6x+6=18+4x-20\)

Combine on the right:

\(6x+6=4x-2\)

Subtract 4x from both sides. The right cancels:  

\((6x+6)-4x=(4x-2)-4x\\2x+6=-2\)

Subtract 6 from both sides. The left cancels:

\((2x+6)-6=(-2)-6\\2x=-8\)

Divide both sides by 2:

\((2x)/2=(-8)/2\\x=-4\)

Thus, the value of x is -4.

Answer:

x = -4

Step-by-step explanation:

3(2x + 2)=18 + 4(x - 5)

6x + 6= 18 +4x - 20

6x - 4x = -2-6

2x = -8

x = -4

Answer:

A) growth; B) decay; C) growth; D) decay

A is growth because the value of b raised to the exponent is larger than 1.

B is decay because the value of b raised to the exponent is smaller than 1.

C is growth because the value of b raised to the exponent is larger than 1.

D is decay because the value of b raised to the exponent is smaller than 1.

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

Dylan: r=14, t=t, and d= d

Ethan: r=22, t=t, and d=324-d

d = rt = t=d/r

Dylan: t=d/14 and Ethan: t= (324-d)/22

t = t

d/14 = (324-d)/22 (cross multiplication)

22d = (14)*(324-d)

22d = 4536 - 14d

22d + 14d = 4536

36d = 4536

d = 4536/36

d = 126 miles

Dylan: 126/14= 9 and

Ethan= (324-126)/22 = 9

y-(-9) = -6(x-(-4)), y = -6x-33

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

2

Step-by-step explanation:

Answer:

-3x = y

-3 is the constant of proportionality

Step-by-step explanation:

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

The answer is $39 by subtracting the original price and sale price.

Answer:

The correct answer is 60%

Step-by-step explanation:

Step-by-step explanation:

The correct option is A

Because,

A Binomial is defined as a polynomial containing 2 terms in it.

In option c there are three terms they are x, 2\(y^{2}\), -7

In option A There are only two terms That satisfy the definition of binomial.

Answer:

1/2 or one half

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

To find the slope of a line, divide yB - yA by xB - xA.

(yB - yA)/(xB - xA)

(2 - 5)/ (-2 - 4)

-3/-6

Dividing two negatives make a positive.

0.5

The slope is 0.5, or 1/2.

Answer:

C - 3 Books.

Step-by-step explanation:

The student borrowed 2 books on Monday, and another 4 books on Tuesday, so 2 + 4 = 6. Since the student later returned 3 of said books, we can do 6 - 3 = 3. The student ends up with 3 books in total.

Answer:

f(8)= X(8) + Y

Step-by-step explanation:

f(8) means when the equation is 8 hours

X is the hourly charge times 8 (beacuse it has been 8 hours)

Y is the initial fee

The sine function for the graph is defined as follows:

y = 2sin(4(x - π/2)) + 1.

The sine function is defined as follows:

y = Asin(B(x + C)) + D.

In which the parameters are given as follows:

The function oscillates between -1 and 3, for a difference of 4, hence the amplitude is given as follows:

2A = 4

A = 2.

The function oscillates between 1 unit above -A and 1 unit above A, hence the vertical shift is given as follows:

D = 1.

The shortest distance between repetitions is of π/2, hence the period is of π/2 and the coefficient B is given as follows:

2π/B = π/2

2/B = 1/2

B = 4.

The function is at it's minimum value at the origin, hence it was shifted right π/2 units, hence the phase shift is given as follows:

C = -π/2.

Hence the function is:

y = 2sin(4(x - π/2)) + 1.

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$7000 borrowed at a 20% simple interest and $2000 at an 8% interest rate.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

$9000 was borrowed from two sources,

one that charges 20% simple interest and the other that charges 8% simple interest.

Let T be the borrowed amount at a 20% interest rate and E be the borrowed amount at an 8% interest rate.

T + E = 9000 {equation 1}

And 0.2T + 0.08E = 1560  {equation 2}

Substituting the value of E from equation 1 to equation 1,

we get,

0.2T + 0.08(9000 - T) = 1560

0.2T + 720 - 0.08T = 1560

0.12T = 840

T = 7000

And E = 2000

Therefore, the amounts are $7000 and $2000.

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Answer:

(See explanation for all answers)

Step-by-step explanation:

4.

A. 3/16

It says in the chart that 4 text messages have a probability of 3/16.

5.

D. 13/16

You just have to add up all the probabilities under four.

6.

B. 5/8

At least two messages means that you need to add up all the probabilities 2 and above.

Hope this helps!

-Luna

Answer:

40.6

Step-by-step explanation:

Step 1:  Convert 52% to a decimal:

Thus, 52% as a decimal is 0.52.

Step 2:  Multiply 0.52 by 78 and round to one decimal place:

Now we can multiply 0.52 by 78 and round to one decimal place to find 52% of 78:

0.52 * 78

40.56

40.6

Thus, 52% of 78 is about 40.6,

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

To determine 1) the proportions of the populations for the different schools for the year 2015-2016, and 2) the proportion of the School of Nursing enrollment for the three school years, the following calculations must be made:

Therefore, 1) in 2015-2016, 8.54% of students enrolled in AM, 25.89% in dentistry, 5.19% in ELAMS, 14.99% in Med. Tech, 1.37% in nursing, 12.49% in NHM, 4.69% in optometry, 15.61% in pharmacy, 7.89% in Sci. Tech, and 3.29% in Grad. Sch.; and 2) the proportion of the School of Nursing enrollment for the three school years was 1.37%, 1.20% and 1.06% respectively.

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Answer:

x 64 3pk1

Step-by-step explanation:

The Rule that best describes the dilation that was applied to Triangle 1 to create Triangle 2 is

B. (x, y) → (5x, 5y)

Dilation in geometry refers to a transformation that changes the size of a figure while maintaining its shape and proportionality. it is a type of transformation that expands or contracts a shape by a certain scale factor.

In this case it was a magnification or expansion by a factor of 5

This is seen by comparing the values in the table

(2 * 5, -2 * 5) results to  (10, -10)

(3 * 5, -6 * 5) results to  (15, -30)

(5 * 5, -4 * 5) results to  (25, -20)

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Yes, there are several ways to understand the concept of a limit in calculus without going into the details of a formal proof. One way to understand the concept of a limit is to think of it as a way to measure how close a function gets to a particular value as the input to the function gets closer and closer to a certain number. For example, if we have a function f(x) and we want to find the limit of the function as x approaches 2, we can think of this as asking "how close does f(x) get to a certain number as x gets closer and closer to 2?"

Another way to understand the concept of a limit is to think of it as a way to describe the behavior of a function as the input gets very large or very small. For example, if we have a function f(x) and we want to find the limit of the function as x approaches infinity, we can think of this as asking "how does f(x) behave as x gets very large?"

Overall, the concept of a limit is a fundamental concept in calculus that allows us to describe and analyze the behavior of functions as the input to the function changes. While a formal proof of the limit can be quite complex, there are several intuitive ways to understand the concept without going into the details of the proof.

Answer:

$3.36

Step-by-step explanation:

to find out what the price is after an increase of 3.5%, set it as 103.5% of the original price and then we convert the percent to a decimal (divide by 100)

so:

$3.25 x 103.5% =

3.25 x 1.035 = $3.36

Answer:

$3.36

Step-by-step explanation:

0.11375(3.5% of $3.25) + 3.25 = 3.36375

round to the hundredth since it money and your answer is #3.36