Given ∠A and ∠B are vertical angles with m∠A=20x+10 and m∠B=30x−10 .


What is x?


Enter your answer in the box.

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Answer:

i dont think you can simplify it any more

Step-by-step explanation:

The operation that will result in a trinomial for the given expression is subtraction operator ( - ).

A trinomial is an algebraic expression that has three terms. It is also a polynomial consisting of three terms or monomials.

The given polynomial expression;

( 4x⁵ - 8x ) ?  (3x² - 8x + 9 )

To simplify the given polynomial expression into trinomial, we will use the following operation.

The chosen operation will be such that, we will have only three terms left after simplification.

So we will choose subtraction operator "-"

( 4x⁵ - 8x ) -  (3x² - 8x + 9 )

= 4x⁵ - 8x  - 3x² + 8x - 9

simplify further; (-8x and +8x will cancel out)

= 4x⁵ - 3x² - 9

Finally, we have our desired trinomial as 4x⁵ - 3x² - 9.

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Answer:

6. The equation that models Mekhi's savings account is:

A = P(1 + r/n)^(nt)

Where:

A = the amount of money in the account after t years

P = the initial investment ($15,000 in this case)

r = the annual interest rate (3.25% or 0.0325 as a decimal)

n = the number of times interest is compounded per year (usually 12 for monthly compounding)

t = the number of years

7. To write the equation in slope-intercept form, we need to simplify it:

A = P(1 + r/n)^(nt)

A = $15,000(1 + 0.0325/12)^(12t)

A = $15,000(1.00271)^(12t)

A = $15,000(1.00271)^12 * (1.00271)^t

A = $15,000(1.34685)^(t)

This is in exponential form, so there is no y-intercept or slope.

8. y-value: A, the amount of money in the account after t years

slope: There is no slope in an exponential equation.

9. To find out how much money will be in the savings account after 30 years:

A = $15,000(1.34685)^30

A = $15,000(10.638)

A = $159,570

Therefore, if Mekhi saves $15,000 in a savings account with a 3.25% APR for 30 years, he will have $159,570 when he retires.

10. To find out how many years Mekhi would have to work to retire with $35,000:

$35,000 = $15,000(1.34685)^t

1.34685^t = 35,000/15,000

1.34685^t = 2.3333

t = log(2.3333) / log(1.34685)

t = 9.93

Therefore, Mekhi would need to work for approximately 9.93 years (or about 10 years) to retire with $35,000, assuming he does not make any other contributions to his savings account.

Answer:

The first one. X = -3 Y = 1

Step-by-step explanation:

The asymptotes are the green lines on the graph. See how the horizontal line intercepts Y= 1, and the vertical one intercepts X = -3.

Answer:

Bottom left

Step-by-step explanation:

I did the quiz earlier

If a family has 3 children of different ages and all combinations of boys and girls are considered equally likely:

a) the sample space and probability measure that describes the gender of the three children in their birth order is:  1/8.

b) Assuming we see the parents with two girls and there is no other information beyond that, the probability that the child we have not yet seen is a boy is: 1/4.

c). If we see the parents with two girls, and the parents tell us that these are the two youngest children, the probability that the oldest child we have not yet seen is a boy is: 1/8

a) The sample space for the genders of three children can be represented as a set of strings of length 3, each consisting of B (for boy) or G (for girl).

The total number of combinations of boys and girls is 2^3 = 8. Each combination has the same likelihood of occurring, so each combination can be assigned a probability of 1/8. So the sample space and probability measure can be described as:

Sample space: {BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG}

Probability measure: P(BBB) = P(BBG) = P(BGB) = P(BGG) = P(GBB) = P(GBG) = P(GGB) = P(GGG) = 1/8

b) Assuming we see the parents with two girls, the possible combinations for the genders of the three children are:

The probability of the third child being a boy is 1/2. So, given two girls, the probability that the child we have not yet seen is a boy is:

c) Assuming we see the parents with two girls and they tell us that these are the two youngest children, the possible combinations for the genders of the three children are:

The only possible combination is GBG, so the probability of the oldest child being a boy is 1. So, given two girls and that they are the youngest children, the probability that the oldest child we have not yet seen is a boy is:

Complete Question:

"Suppose a family has 3 children of different ages and all combinations of boys and girls are considered equally likely.

a) Precisely formulate the sample space and probability measure that describes the gender of the three children in their birth order.

b) Given that the parents have two girls and no other information is available, what is the probability that the remaining child is a boy?

c) If the parents have two girls and they inform us that they are the two youngest children, what is the probability that the oldest child is a boy?"

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Answer:

It's $499, unless you don't care about having a disc drive, then it's $399. That simplicity was by design, said Sony ...

Answer:149 - 8b -2a

Step-by-step explanation:you put it in oder by 104 + 45 - 8b - 2a add 104 and 45 and you shoud get 149 then you put your problom together and get

149 - 8b -2a

sorry if it is not right i have not done this in a long time :(

Answer:

7. \(x \leq 5\)

8. \(x\geq 4\)

9. x < 5

10. x < -7

11.  x < 45

12. \(x\geq -10\)

13. x < -7

14. x < 45

15. \(x\leq 50\)

16. \(w\geq 16\)

18. q > 4

Step-by-step explanation:

Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

Answer:

\(Pr =\frac{1}{38955840}\)

Step-by-step explanation:

Given

\(n = 35\) ---- 1 to 35

\(r = 5\) -- selection

Required

The probability of winning

The probability of getting the first number correctly is:

\(P(1) = \frac{1}{35}\)

At this point, the remaining numbers are 34

So, the second selection has the following probability

\(P(2) = \frac{1}{34}\)

Following the above sequence, we have:

\(P(3) = \frac{1}{33}\)

\(P(4) = \frac{1}{32}\)

\(P(5) = \frac{1}{31}\)

So, the required probability is:

\(Pr =P(1) * P(2) * P(3) * P(4) * P(5)\)

\(Pr =\frac{1}{35} *\frac{1}{34}*\frac{1}{33}*\frac{1}{32}*\frac{1}{31}\)

\(Pr =\frac{1}{35*34*33*32*31}\)

\(Pr =\frac{1}{38955840}\)

From the given picture we can see a linear graph represents the relation between the number of gallons used in miles

The x-axis represents the number of miles

The y-axis represents the number of gallons

In the point (73.5, 3.5),

its x-coordinate (73.5) represents the number of miles

its y-coordinate (3.5) represents the number of gallons

Then the statement the care used 70 gallons to travel 3 miles is wrong

Because 70 should be the number of miles and 3 should be the number of gallons

The answer is the right statement (2nd) in the first row

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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Answer:it is the tens place

Step-by-step explanation:

Answer:

2 represents the the tenths place

Step-by-step explanation:

You have 168,526 remember your tenth hundred and thousands 2 is in the tenth place that is what represents

Hope that answers ur question

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:it is 60

Step-by-step explanation:

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

Answer:

The sum of 0.380 and 0.245 would be 0.625

b=(50-35) and students=50

b/s=15/50=3/10

Based on the expression given in the image and the values of a, b, and c, the value of the expression is 6 ¹/₆.

When given the values of a, b, and c, the value of the expression can be solved by plugging the digits into the expression.

The expression is:

= (a + 2bc) / 3a

Getting the value by solving gives:

= (4 + (2 x -5 x -7)) / (3 x 4)

= (4 + 70) / 12

= 74 / 12

= 6 ² /₁₂

= 6 ¹/₆

In conclusion, the value of the expression is 6 ¹/₆.

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Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

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The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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Answer:

Let us assume the total number of students surveyed = x

Then

Number of students preferring red = x/4

Number of students preferring blue = x/8

Then

Number of students remaining = x - [(x/4) + (x/8)]

                                                  =x - [(2x + x)/8)

                                                  = x - (3x/8)

                                                  = (8x - 3x)/8

                                                  = 5x/8

Number of students preferring the color green = (3/5) * (5x/8)

                                                                          = 3x/8

We also know that the total number of students preferring the color green is 15

So

3x/8 = 15

3x = 15 * 8

x = (15 * 8)/3

  = 5 * 8

  = 40

So in total 40 students were surveyed. I hope the procedure is clear to you.

Step-by-step explanation:

Answer:

Wheres the statements?

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Please note that I'll replace all � with +

1. |10|

This implies the absolute value of 10 and it always returns the positive value;

Hence;

\(|10| = 10\)

2. |-4|

Using the same law applied in (1)

\(|-4| = 4\)

3.  5/8 - 3/8 = ?

Take LCM

\(= \frac{5 - 3}{8}\)

Subtract the numerator

\(= \frac{2}{8}\)

Divide the numerator and denominator by 2

\(= \frac{1}{4}\)

Hence:

\(\frac{5}{8} - \frac{3}{8} = \frac{1}{4}\)

4. 7/8 - 5/6

Take LCM

\(= \frac{21 - 20}{24}\)

\(= \frac{1}{24}\)

Hence;

\(\frac{7}{8} - \frac{5}{6} = \frac{1}{24}\)

5. 6 * (-7/2)

\(= 6 * \frac{-7}{2}\)

Multiply the numerator

\(= \frac{-42}{2}\)

\(= -21\)

Hence:

\(6 * \frac{-7}{2} = -21\)

5. 6/5 /(-12/25)

\(= \frac{6}{5} / \frac{-12}{25}\)

Change the divide to multiplication

\(= \frac{6}{5} * \frac{-25}{12}\)

Divide 6 and 12 by 6

\(= \frac{1}{5} * \frac{-25}{2}\)

Divide 5 and 25 by 5

\(= \frac{1}{1} * \frac{-5}{2}\)

\(= \frac{-5}{2}\)

Hence;

\(\frac{6}{5} / \frac{-12}{25} = \frac{-5}{2}\)

6.  3 + 4^2  * 2

\(= 3 + 4^2 * 2\)

Solve the exponent

\(= 3 + 16 * 2\)

Apply B.O.D.M.A.S

\(= 3 + 32\)

\(= 35\)

\(3 + 4^2 * 2 = 35\)

7.  2/3 + 5/6

\(= \frac{2}{3} + \frac{5}{6}\)

Apply LCM

\(= \frac{4 + 5}{6}\)

\(= \frac{9}{6}\)

Divide the numerator and denominator by 3

\(= \frac{3}{2}\)

Convert to mixed fraction

\(= 1\frac{1}{2}\)

Hence;

\(\frac{2}{3} + \frac{5}{6} = 1\frac{1}{2}\)

8.  16 - 12/(-4)

\(= 16 - \frac{12}{-4}\)

Solve the fraction

\(= 16 - (-3)\)

Open the bracket

\(= 16 + 3\)

\(= 19\)

Hence;

\(16 - \frac{12}{-4} = 19\)

9.   -9(3w + x + 2)

\(= -9(3w + x + 2)\)

Open brackets: Distributive property

\(= -9*3w -9* x -9 * 2\)

\(= -27w -9 x -18\)

Hence;

\(-9(3w + x + 2) = -27w -9 x -18\)

10.  -2(w + 2) + 5w

\(= -2(w + 2) + 5w\)

Open bracket: using distributive property

\(= -2*w -2 * 2 + 5w\)

\(= -2w -4 + 5w\)

Collect Like Terms

\(= 5w-2w -4\)

\(= 3w -4\)

Hence;

\(-2(w + 2) + 5w = 3w- 4\)

11.   16x^2 + 8 + 10x + 2x^2 + 14x

\(= 16x^2 + 8 + 10x + 2x^2 + 14x\)

Collect Like Terms

\(= 16x^2 + 2x^2 + 10x + 14x+ 8\)

\(= 18x^2 + 24x + 8\)

Expand the expression

\(= 18x^2 + 12x + 12x + 8\)

Factorize:

\(= 6x(3x + 2) + 4(3x +2)\)

\(= (6x + 4)(3x +2)\)

Hence;

\(16x^2 + 8 + 10x + 2x^2 + 14x = (6x + 4)(3x +2)\)

12. b = -5 and y = 6

\(b + 9y =?\)

Substitute -5 for b and 6 for y

\(= -5 + 9 * 6\)

\(= -5 + 54\)

\(= 49\)

Hence;

\(b + 9y = 49\)

13.    y = -3

\(y^2 + 5y + 4 =?\)

Substitute -3 for y

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

Open all brackets

\(= 9 -15 + 4\)

\(= -2\)

Hence;

\(y^2 + 5y + 4 = -2\)

14.  

\((-4)^3\)

Open bracket:

\(= -4 * -4 * -4\)

\(= -64\)

Hence;

\((-4)^3 = -64\)

\((-7)^2\)

Open bracket:

\(= -7 * -7\)

\(= 49\)

Hence;

\((-7)^2 = 49\)

15.  Express as fractions:

\(\frac{3}{5^3}\)

Evaluate the denominator

\(= \frac{3}{125}\)

Hence:

\(\frac{3}{5^3} = \frac{3}{125}\)

\((\frac{-1}{3})^2\)

Evaluate the exponent

\(= (\frac{-1}{3})*(\frac{-1}{3})\)

\(=\frac{1}{9}\)

Hence:

\((\frac{-1}{3})^2=\frac{1}{9}\)

16. Evaluate

\((-7)^0 =\)

Evaluate the exponent

\((-7)^0 = 1\)

\(2 * (1/3)^0\)

Evaluate the exponent

\(= 2 * 1\)

\(= 2\)

Hence;

\(2 * (1/3)^0 = 2\)

17. Evaluate

\(3v^2(-5v^4)\)

Open bracket

\(= 3 * v^2*-5* v^4\)

Reorder

\(= 3 *-5* v^4 * v^2\)

\(= -15* v^4 * v^2\)

Apply law of indices

\(= -15* v^{4 +2}\)

\(= -15* v^6\)

\(= -15v^6\)

Hence:

\(3v^2(-5v^4) = -15v^6\)

18.

\(2y^2w^4*6y*2w^8\)

Rewrite as

\(2 *y^2 * w^4*6 * y*2 * w^8\)

Reorder the terms

\(=2*6 * w^4 * w^8*y^2 * y*2\)

\(=12 * w^4 * w^8*y^2 * y*2\)

Apply law of indices

\(=12 * w^{4+8} *y^{2+2}\)

\(=12 * w^{12} *y^4\)

\(=12 w^{12} y^4\)

Hence:

\(2y^2w^4*6y*2w^8 =12 w^{12} y^4\)

19.

\((\frac{4p^3}{3p^7})^{-2}\)

Apply law of indices

\(= (\frac{4p^{3-7}}{3})^{-2}\)

\(= (\frac{4p^{-4}}{3})^{-2}\)

Apply law of indices

\(= (\frac{4}{3p^4})^{-2}\)

Apply law of indices

\(= (\frac{3p^4}{4})^{2}\)

\(= (\frac{3p^4}{4}) * (\frac{3p^4}{4})\)

Evaluate

\(= \frac{9p^8}{16}\)

Hence;

\((\frac{4p^3}{3p^7})^{-2} = \frac{9p^8}{16}\)

20.

\(\frac{x^{-2}}{x^{-3}}\)

Apply law of indices

\(= x^{-2 - (-3)}\)

\(= x^{-2 +3}\)

\(= x^1\)

\(= x\)

Hence:

\(\frac{x^{-2}}{x^{-3}} =x\)

Answer: So 5 + x = 8 beacase x is 3

Step-by-step explanation: