Let U be the universal set, where U=(1,2,3,4,5,6,7,8,9)let sets A and B. be subsets of U, whereA=(2,3,8,9) and B=(1,2,3,5)

Answer:

x = 40

Step-by-step explanation:

The angles are vertical angles.  We know that vertical angles are equal

120 = 3x

Divide each side by 3

120/3 = 3x/3

40 =x

Answer:

40

Step-by-step explanation:

I forgot what you would call this, but basically 3x = 120. both of the angles are the same. So divide both sides of the equation by 3. 3x/3 = 120/3 and your answer is 40.

It's a bad explanation but I hope it helps!

The expression −(4b)(4b)(4b) using positive exponents is -(4b)³

From the question, we have the following parameters that can be used in our computation:

−(4b)(4b)(4b)

Express properly

So, we have

−(4b) * (4b) * (4b)

5⁻¹² * 32⁻³ * 9⁻¹⁵

By using the definition of positive exponents, we have

−(4b) * (4b) * (4b) = -(4b)³

So, the solution is -(4b)³

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The total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.

First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):

Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94

Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):

Number of days = 15 - 1 = 14

Using the daily interest rate and the number of days, we can calculate the proration for interest:

Proration for interest = ($36.94 x 14) = $516.76

To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:

Daily property tax rate = $3,893.25 / 365 = $10.65

Next, we need to determine the number of days from the start of the year to the closing date (June 15):

Number of days = 165

Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:

Proration for property taxes = ($10.65 x 165) = $1,754.25

Therefore, the total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.

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Answer:

64.8 kg kilograms

Step-by-step explanation:

please mark brainiest

hope it works out for you

Answer:

the value of 72% of 90 kg:

72 * 90 / 100 = 64,8 kg

Answer:

Step-by-step explanation:

.................8908989

Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

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Answer:

Step-by-step explanation: Here's a step-by-step guide on how to graph the equation -3y + 6x = 6:

Isolate y: To isolate y, first subtract 6x from both sides of the equation: -3y + 6x = 6 => -3y = -6x + 6.

Divide both sides of the equation by -3: Dividing both sides of the equation by -3, we get: -3y / -3 = (-6x + 6) / -3.

Simplify the equation: On simplifying the equation, we get: y = 2x - 2.

Plot the y-intercept: The y-intercept of the equation is when x = 0. So, when x = 0, y = 2 * 0 - 2 = -2. This point is (0, -2). Plot this point on the graph.

Plot a second point: Pick a value of x and plug it into the equation to find the corresponding y value. For example, let's take x = 1. Plugging x = 1 into the equation, we get y = 2 * 1 - 2 = 0. This point is (1, 0). Plot this point on the graph.

Draw the line: Connect the two points plotted on the graph. This line represents the solution set of the equation.

That's it! You have successfully graphed the equation -3y + 6x = 6.

Answer:



Step-by-step explanation:

Answer:

5/6 is greater

Step-by-step explanation:

Fill in the blanks with the fractions 3/4 and 5/6. Simply transmit their denominators to other fractions while altering their location to cross multiply them ( numerator should be on same side e.g the fractions with numerator 3 is on the left side, so it should be there only).

Check the picture below.

Answer:

Unit rate = 2 sneezes per minute

Step-by-step explanation:

40 sneezes in 20 minutes.

One quantity is 1 in unit rate with respect to other.

Unit rate = \(\frac{40\ sneezes}{20\ minutes}\)

Unit rate = 2 sneezes per minute

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

Answer:

-7 i + 16

Step-by-step explanation:

Simplify the following:

(-2 i + 1) (5 i + 6)

(1 - 2 i) (6 + 5 i) = (1) (6) + (1) (5 i) + (-2 i) (6) + (-2 i) (5 i):

6 + 5 i - 2 i×6 - 2 i×5 i

-2×6 = -12:

6 + 5 i + -12 i - 2 i×5 i

-2 i×5 i = -2 i^2 5:

6 + 5 i - 12 i + -2 i^2×5

i^2 = -1:

6 + 5 i - 12 i - 2-1×5

-2 (-5) = 10:

6 + 5 i - 12 i + 10

6 + 5 i - 12 i + 10 = (6 + 10) + (5 i - 12 i) = 16 - 7 i:

Answer:  -7 i + 16

Answer: your answer to this question would be 16-7i

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean SAT score is \(\mu=600\), we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it \(\sigma\)) is

\(\sigma=48\)

Next they draw a random sample of n=70 students, and they got a mean score (denoted by \(\bar x\)) of \(\bar x=613\)

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis \(H_0:\bar x \geq \mu\)

- The alternative would be then the opposite \(H_0:\bar x < \mu\)

The test statistic for this type of test takes the form

\(t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\)

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

\(t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\\)

Answer:

The null hypothesis is that the SAT score is not significantly different for the course graduates.

Alternate hypothesis: there is a significant difference between the SAT score achieved by the course graduates as compared to the non-graduates.

Apply the t-test. The Test Statistic value comes out to be t = 1.738 and the p-value = 0.0844

Since the p-value is larger than 0.05, the evidence is weak and we fail to reject eh null hypothesis.

Hope that answers the question, have a great day!

Answer:

distribution

Step-by-step explanation:

(4xb)+(4x2)

4b+8

Answer

The property that was used to simplify this equation was the distributive property.

Step-by-step explanation:

All you do is distribute the 4 both to the b and to the 2, which would result in the other side of the equation, 4b+8.

Answer:

y=1

Step-by-step explanation:

-3y+3+8y-24=6y+7-5y

5y+3=7+y

4y=4

y=1

The solution set for the equation\((\sqrt(x+1)^{2} ) + 3x = 0\) is {x = -1/4, x = 1/2}.

To find the solution set for the equation (√(x+1)²) + 3x = 0, we can simplify the equation and solve for x.

First, let's simplify the equation:

\((\sqrt(x+1)^{2} ) + 3x = 0\)

Taking the square root of (x+1)² yields:

|x + 1| + 3x = 0

Now, we can split the equation into two cases based on the absolute value:

Case 1: (x + 1) + 3x = 0 (when x + 1 is positive)

Case 2: -(x + 1) + 3x = 0 (when x + 1 is negative)

Solving Case 1:

x + 1 + 3x = 0

4x + 1 = 0

4x = -1

x = -1/4

Solving Case 2:

-(x + 1) + 3x = 0

-x - 1 + 3x = 0

2x - 1 = 0

2x = 1

x = 1/2

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The number of students who like the book is 64 students.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.

Given: Total students in English class = 100

Nine twenty-fifths of the class did not like the book.

Thus, the number of students did not like the book = 9/25 × 100

= 36

Therefore, the number of students like the book =Total students- students did not like the book will be:

= 100-36

= 64 students.

The number of students is 64.

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Complete question

After reading a book for English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the class did not like the book. How many students liked the book?

The investor should invest Rs 12,000 in bank deposits, Rs 8,000 in a unit trust, and Rs 10,000 in equity shares.

The investor has a total of Rs 30,000 to invest in bank deposits, equity shares, and unit trusts. According to the given conditions, the investment in equity shares should be 20% of the total investment in bank deposits and unit trusts. Also, the ratio between investment in bank deposits and unit trust should be 3:2.

Let x be the investment in bank deposits, y be the investment in a unit trust, and z be the investment in equity shares. Based on the given conditions, we can create the following system of equations:

x + y + z = 30,000 (total investment)
z = 0.2(x + y) (equity shares condition)
x/y = 3/2 (ratio condition)

Using the inverse matrix method, we can rewrite these equations as a matrix equation:

|1 1 1| |x|   |30,000|
|0.2 0.2 -1| |y| = |0      |
|3/2 -1  0 | |z|   |0      |

To solve this matrix equation, we can compute the inverse of the coefficient matrix and multiply it with the constant matrix:

A = |1 1 1|
    |0.2 0.2 -1|
    |3/2 -1  0 |

A_inv = |2/5 -1/5 -1/5|
          |-3/2 1/2 1/2|
          |5/2 1/2 -3/2|

Multiplying A_inv with the constant matrix, we get:

|x|   |12,000|
|y| = |8,000  |
|z|   |10,000|

So, the investor should invest Rs 12,000 in bank deposits, Rs 8,000 in a unit trust, and Rs 10,000 in equity shares.

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Answer:

Great than 10, but less than 100

Step-by-step explanation:

Make 700% a decimal by dividing by 100

700/100 = 7

7 = 5 = 35

700% of 5 is 35.

Answer:Greater than 10 but less than 100

Step-by-step explanation

700% of 5 = 35

35 is greater than 10

but less than 100

hope this helps

Answer:

\(AG=22\)

Step-by-step explanation:

Follow the next steps:

\(\frac{A-B}{A-E} =\frac{B-C}{E-F} =\frac{C-D}{F-G} =\frac{A-C}{A-F} =\frac{B-D}{E-G} =\frac{A-D}{A-G}\)

Let:

\(\frac{A-B}{A-E} =\frac{B-C}{E-F}\\ \\\frac{4}{A-E} =\frac{5}{10x}\\ \\Solving\hspace{3}for\hspace{3}A-E\\\\A-E=8x\)

Now:

\(\frac{C-D}{F-G} =\frac{A-C}{A-F} \\\\\frac{2}{F-G} =\frac{9}{18x} \\\\Solving\hspace{3}for\hspace{3}F-G\\\\F-G=4x\)

Hence:

\(A-G=(A-E)+(E-F)+(F-G)=22x\)

Finally:

\(\frac{B-D}{E-G} =\frac{A-D}{A-G}\\\\\frac{A-D}{B-D} =\frac{A-G}{E-G}\\\)

\(\frac{11}{7} =\frac{22x}{14x} \\\\\frac{11x^{2} }{7} -\frac{11}{7} =0\\\\\)

Hence:

\(x=1\\x=-1\)

Since it would be absurd for \(x=-1\), the real solution is \(x=1\)

Therefore:

\(AG=22\)

Answer: Lisa will receive 475 Euros.

Step-by-step explanation: 500x0.95 = 475.

Answer:

Step-by-step explanation:

2

The probability that the spinner lands on yellow and the coin toss is heads is 9/20.

To find the probability that the spinner lands on yellow and the coin toss is heads, we need to determine the probability of each event and then multiply them together.

The probability of the spinner landing on yellow is given by the number of yellow sections (18) divided by the total number of sections (20). Therefore, the probability of the spinner landing on yellow is 18/20 or 9/10.

The probability of the coin toss resulting in heads is 1/2 since there are two equally likely outcomes, heads and tails.

To find the probability of both events occurring together, we multiply the individual probabilities:

Probability (Spinner lands on yellow and Coin toss is heads) = Probability (Spinner lands on yellow) * Probability (Coin toss is heads)

= (9/10) * (1/2)

= 9/20

Therefore, nine out of twenty times, the spinner will fall on yellow and the coin will come up heads.

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Answer:

b. 12.2 months

A percentage is a way to describe a part of a whole. The correct option is B.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the colony of 100,000 ants has been declining in number at a rate of 11.4% per month. Therefore, the number of months it will take for the ant population to reach 25,000 ants is,

Population = 100,000(1-0.114)ⁿ

25,000 = 100,000(1-0.114)ⁿ

0.25 = 0.886ⁿ

log(0.25) / log(0.886) = n

n = 11.45335

Since the value is close to 12.2 months.

Hence, the correct option is B.

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The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2

How to solve a function?

If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:

g(x) = a(4) raise to the power x-k/2

where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:

f(x) = g(x)/2

Substituting the expression for g(x) into this equation and simplifying, we get:

4raise to the power x - 6 = a(4)raise to the power x-k/2

To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:

f(0) = 4 - 6 = -5

f(1) = 4- 6 = -2

Using the equation g(x)/2 = f(x), we can write:

g(0)/2 = -5

g(1)/2 = -2

Substituting the expression for g(x) into these equations, we get:

a(4) raise to the power -k/2 = -10

a(4) raise to the power 1-k/2 = -4

Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":

(4)raise to the power -k/2 / (4)  raise to the power 1-k/2 = -10 / -4

Simplifying this equation, we get:

4.raise to the power(1-k/2) = 5

Taking the logarithm of both sides (with base 4), we get:

1-k/2 = log4(5)

Solving for "k", we get:

k = 2 - 2 log4(5)

Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":

a = -10 / (4)   raise to the power  -k/2

Substituting the numerical value of "k", we get:

k = 2 - 2 log4(5) ≈ 0.872

a = -10 / (4) raise ti the power  -k/2 ≈ 2.323

Therefore, the equation for the transformed function g(x) is:

g(x) = 2.323 (4)raise to the power x-0.872/2

or equivalently:

g(x) = 1.1615 (4) raise to the power -x0.872

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Answer:

g(x) = 1/2 (4)^x - 3

Step-by-step explanation:

A vertical compression by a factor of 1/2

means that the entire function f is multiplied by 1/2:

1/2 f (x) = 1/2 (4^x - 6)

= 1/2 (4)^x - 3

Answer:

y= -6x-6, I think, hope it helped

Step-by-step explanation:

700 + 30

= 730

Hope it's help you!

Answer:

730

Step-by-step explanation:

So you have 700 ok then you are adding 30 to that so in 700 there are no tens or one's so you can just slide that 30 right in there and make 730.

Hope this helps have a great day:)

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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