What is the value of x and y? show all work

The value of x is 1.5 and value of y is 1.8 from the given triangle.

In the right triangle let us find the hypotenuse

9²+6²=x²

81+36=x²

117=x²

Take square root on both sides

√117=x

x=10.8=11

11/y=6

value y=11/6=1.8

9/x=6

x=9/6

=1.5

Hence, the value of x is 1.5 and value of y is 1.8 from the given triangle.

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Answer:

3a + b = 180

Step-by-step explanation:

Supplementary angles are angles that, when added, equal 180 degrees.

Let's use a to represent the unknown angle, and b to represent its supplement:

3a + b = 180

Answer:

40 mph

Step-by-step explanation:

120/3=40

In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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The correct answer is B

The rank of A is equal to the number of non-pivot columns in A. Since there are more rows than columns in an 8 times 6 matrix, the rank of an 8 times 6 matrix must be equal to the number of pivot positions, which is 6. Since there are 6 rows in a 6 times 8 matrix, there are a maximum of 6 pivot positions in A. Thus, there are 2 non-pivot columns. Therefore, the largest possible rank of a 6 times 8 matrix is 2.

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The value of the variable a is 19.66 and the value of the valriable b is 20.21.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by the law of sines,

\(\rm \dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

Remember that we took

The sine angle is the length of the side opposite to that angle.

Then the third angle of the triangle will be

x + 75 + 35 = 180

                x = 70

\(\rm \dfrac{\sin 75^o}{b} = \dfrac{\sin 35^o}{12} = \dfrac{\sin 70^o}{a}\)

From the first two-term, we have

sin 75 / b = sin 35 / 12

b = 20.21

From the last two-term, we have

sin 70 / a = sin 35 / 12

a = 19.66

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There was $4.50 in the tip jar during the opening.

Since, A linear equation has a standard form of:

y = mx + b

where

y = amount of money in tip jar,

m = slope,

x = number of hours,

b = y intercept

Hence, We select any two paired data to calculate for the slope:

m = (y₂ - y₁) / (x₂ - x₁)

m = (18.25 – 15.50) / (5 – 4)

m = 2.75

Thus, The equation is,

y = 2.75x + b

Now, Choosing any one data pair to calculate for b the y-intercept:

15.50 = 2.75 (4) + b

b = 4.5

Therefore, there was $4.50 in the tip jar during the opening.

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Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

y = 3x + 9

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

y - 3 = 3(x - 4)

y - 3 = 3x - 12

y = 3x + 9

Ak is the event that the sum of the dots facing up is k, Bk is the event that the sum is greater than or equal to k, E is the event that the sum is even, and O is the event that the sum is odd. The total number of outcomes, which is 36.

a) To find P[Ak], we need to count the number of ways we can obtain a sum of k and divide by the total number of possible outcomes. This gives P[Ak] = (number of ways to obtain k)/(total number of outcomes) = (number of ways to obtain k)/36. Similarly, P[BX] is the probability of obtaining a sum greater than or equal to X, which is the same as the probability of obtaining a sum of X or more, so we can use the same approach as for P[Ak].

b) P[O|B8] is the probability that the sum is odd given that it is greater than or equal to 8. To find this, we can use Bayes' theorem: P[O|B8] = P[O and B8]/P[B8]. We can calculate P[O and B8] by counting the number of outcomes where the sum is odd and greater than or equal to 8, which is 10 (9, 11, ..., 19), and divide by the total number of outcomes that satisfy B8, which is 25 (8, 9, ..., 12). Therefore, P[O and B8] = 10/36 and P[B8] = 25/36, so P[O|B8] = (10/36)/(25/36) = 2/5.

c) P[A U A11\B8] is the probability that the sum is either 2, 3, ..., 11 or 12, but not 8. To find this, we can add the probabilities of the individual events and subtract the probability of their intersection: P[A U A11\B8] = P[A2] + P[A3] + ... + P[A11] + P[A12] - P[B8]. Note that P[B8] is the probability that the sum is 8 or more, so we can use our previous calculation to find this.

d) P[B80] is the probability that the sum is 8 or more. We can count the number of outcomes where the sum is 8 or more, which is 25 (8, 9, ..., 12), and divide by the total number of outcomes, which is 36.

e) P[B:|B-] is the probability that the sum is even given that it is odd. To find this, we can use Bayes' theorem: P[B:|B-] = P[B: and B-]/P[B-]. We can count the number of outcomes where the sum is even and odd, which is 18, and divide by the total number of outcomes where the sum is odd, which is 18 (1, 3, ..., 11), so P[B: and B-] = 18/36 = 1/2. We can also count the number of outcomes where the sum is odd, which is 18, and divide by the total number of outcomes, which is 36, to find P[B-].

f) P[E|B8] is the probability that the sum is even given that it is greater than or equal to 8. To find this, we can use Bayes' theorem: P[E|B8] = P[E and B.

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Answer: hi

Step-by-step explanation: 2 louse 8 equals no p

Answer:

n = 10

Step-by-step explanation:

3n - 8 = 32 - n ( add n to both sides )

4n - 8 = 32 ( add 8 to both sides )

4n = 40 ( divide both sides by 4 )

n = 10

Answer:

\(3n - 8 = 32 - n \\ 3n + n = 32 + 8 \\ 4n = 40 \\ n = \frac{40}{4} \\ \boxed{n = 10}\)

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

The projected misstatement of this sample would be $50,000, calculated as follows: ($4,000 / $5,000) x $10,000.

In a probability-proportional-to-size sample, each item's chance of being selected is proportional to its recorded amount, so larger accounts have a higher probability of being selected. In this case, the auditor selected an account with a recorded amount of $5,000, but found that it had an audited amount of $4,000.

To project the misstatement of this sample, the auditor needs to estimate the total misstatement in the population by multiplying the audited amount by the inverse of the sampling fraction, which is the sampling interval divided by the recorded amount of the selected item. So, the projected misstatement is ($4,000 / $5,000) x $10,000 = $8,000 x 6.25 = $50,000. This means that the auditor estimates the total misstatement in the population to be approximately $50,000 based on this sample.

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Answer:

-113

Step-by-step explanation:

sub the values

x^3-2y^2-3x^3+z^4

(3)^3-2(5)^2-3(3)+(-3)^4

27-50-9-81

-113

The required number is 68 which satisfies the given scenario.

The foundation of our whole number system is place value. In this approach, the value of a digit in a number is determined by where it appears in the number.

Let's call the number we're trying to find "N".

We know that the number has 8 ones,

which means the one's place in N is 8.

We also know that the number has 2 fewer tens than ones. So the number of tens in N is 8 - 2 = 6.

Therefore, the number N can be written as:

$N = 6 \times 10 + 8 \times 1 = 60 + 8 = 68$

So the number is 68.

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Ans103

Step-by-step explanation:

Answer: The function you provided describes an experiment in which a coin is tossed, a number cube is rolled, and a letter is picked from the word "framer". The outcome of the experiment is represented by the ordered triple (tails, 5, m).

P(tails, 5, m) refers to the probability of the outcome (tails, 5, m) occurring. To find this probability, you would need to know the probability of each individual event:

The probability of getting tails is 1/2,

The probability of getting a 5 on a number cube is 1/6

and probability of getting letter "m" in the word "framer" is 1/6

So P(tails, 5, m) = (1/2) * (1/6) * (1/6) = 1/72

It is to be noted that in order for the inverse function to exist, the function must be one-to-one, meaning each y value has one unique x value, meaning the random variables in question should be independent. But in this case the events are dependent on one another.

Step-by-step explanation:

The card equivalent to fraction 1/2 + 6/9 is 1(3/18).

We have,

1/2 + 6/9

= 1/2 + 2/3

= (3 + 4)/6

= 7/6

= 1(1/6)

Now,

Each card has different addition of fractions.

a)

1/11 + 6/11

= 7/11

b)

9/18 + 11/18

= 20/18

= 10/9

= 1(1/9)

c)

10/18 + 8/18

= 18/18

= 1

d)

21/18

e)

7/11

f)

1(3/18)

= 21/18

= 7/6

= 1(1/6)

We see that,

Fraction 1(3/18) is equivalent to 1/2 + 6/9.

Thus,

The card equivalent to fraction 1/2 + 6/9 is 1(3/18).

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Question is incomplete. Here is the complete question.

A city employee paints curbs iin parking lots and replaces road signs. It takes 0.5 hour to paint a parking lot curb and 2.5 hours to replace a road sign. The function below can be used to find c, the number of parking lot curbs the employee paints when he replaces r road signs in a 40-hour workweek.

\(c=\frac{40-2.5r}{0.5}\)

If the employee painted 20 curbs in one week, how many road signs did he replace that week?

a) 20    b) 30    c) 0     d) 12

Answer: d) 12

Step-by-step explanation: In one week, the employee painted 20 curbs.

c is the number of curbs painted in one week, so: c = 20

\(20=\frac{40-2.5r}{0.5}\)

\(40-2.5r=20*0.5\)

\(-2.5r=10-40\)

\(-2.5r=-30\)

\(r=\frac{-30}{-2.5}\)

r = 12

In one week, the employee replaced 12 road signs.

Answer:

B

Step-by-step explanation:

4.6 x 100000 is more of multiplication (has a greater exponent.) It is immeadietley (oof I cant spell) the largest. <33

Answer:

8.2 x \(10^{4}\) is 82000  and 460000  so what do u think?

Step-by-step explanation:

The data are listed in ascending order to be:

MEAN

The mean is the average of a data set. This can be calculated using the formula:

From the question, we can calculate the mean to be:

The mean is 33.

MEDIAN

The median is the middle of the set of numbers.

The middle terms are 40 and 42. Therefore, the median will be the average of the two numbers:

The median is 41.

MODE

The mode is the most common number in a data set.

The modes of the data are 3, 18, 19, 40, 42, 43, 48, and 51.

Answer:

Ask the question again and make sure to upload the photo.

Step-by-step explanation:

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

y=10

Step-by-step explanation:

x=k/y

constant of proportionality

k=xy

k=5*6

k=30

therefore x=30/y

if x=3 y=?

y=30/3

y= 10

To have a total mass of 100 kg, we should set k ≈ 1.85 kg/m^2.

The mass of a thin metal plate can be found by integrating its density over its surface area. In this case, the surface area is the rectangle [0, 3] × [0, 2]. So we have:

Total mass = ∬[0,3]×[0,2] ρ(x,y) dA

= ∫0^2 ∫0^3 2y kx^2 dxdy (switching the order of integration)

= k * ∫0^2 ∫0^3 2y x^2 dxdy

= k * ∫0^2 [y * x^3]0^3 dy

= k * ∫0^2 27y dy

= k * [13.5y^2]0^2

= 0

This means that the total mass is 0 unless we choose a value of k that makes the integral nonzero. Since we want the total mass to be 100 kg, we can set the integral equal to 100 and solve for k:

100 = k * ∫0^2 ∫0^3 2y x^2 dxdy

100 = k * ∫0^2 [y * x^3]0^3 dy

100 = k * ∫0^2 27y dy

100 = k * [13.5y^2]0^2

100 = k * 54

k = 100/54

k ≈ 1.85 kg/m^2

Therefore, we should set the value of k ≈ 1.85 kg/m^2.

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Answer:

2 x 30 = 60 cents

3 x 25 = 75 cents

60 + 75 = 135 cents or 1 dollar 35 cents

Hope this helps

Step-by-step explanation:

Answer:

135 cents or $1.35

Step-by-step explanation:

30 x 2 = 60 cents for the choc

25 x 3 = 75 cents for the pb

60+75=135

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25\)

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

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Answer:

1.   70

Step-by-step explanation:

2.  105

Answer:

A: 70.311 repeat

B: 105.53

Step-by-step explanation:

im not sure if im correct but hope this helps