Describe with Algebra
Which of these statements is true? Select all that apply.
(Select all that apply.)

Answer:

D. 43°

Step-by-step explanation:

interior angle to 90°=90°

interior angle to 133°=47°

p=180°-47°-90°=43°

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Answer:

-10

Step-by-step explanation:

g(5) for g(x)= -2x

we put 5 to x

g(5) =  -2.5

       =-10

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.

Distance formula is given as: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Name the coordinates of the plot of and as follows:

A (0, 120)

B (140, 100)

C (140, 20)

D (0, 0)

Perimeter of the plot of land = AB + BC + CD + AD

AD = |120 - 0| = 120 ft

BC = |100 - 20| = 80 ft

Use the distance formula to find AB and CD:

AB = √[(140−0)² + (100−120)²]

AB = √20000

AB = 141.4 ft

CD = √[(140−0)² + (20−0)²]

CD= √20000

CD = 141.4 ft

Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.

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The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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hello

to solve this question, we need to solve the matrix AB and compare the values with BA

we'll pick the first row

Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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Answer:

i got you bro

Step-by-step explanation:

Express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.) Monica has two strawberry yogurts and six banana yogurts in her refrigerator. She will choose one yogurt at random to take to work. Find the probability Monica will choose a strawberry yogurt.

The solution to the equation is x = 10 or x = -2.

An equation refers to a mathematical expression showing that two expressions are equal.

It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).

To solve for x, we shall start with the given equation:

x + 6 = √(2x + 29) + 9

Subtract 9 from both sides:

x - 3 = √(2x + 29)

Square both sides:

\((x - 3)^2\) = 2x + 29

Expand the left side:

\(x^2\) - 6x + 9 = 2x + 29

We then subtract 2x and 9 from both sides:

\(x^2\) - 8x - 20 = 0

Next, actor the quadratic equation:

(x - 10)(x + 2) = 0

Therefore, the equation x = 10 or x = -2

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Answer:

45%

Step-by-step explanation:

9/20

ang = 75/360 x 2pi = 5/12 x pi

L = r x ang = 25/12 x pi

r = 5

Answer:

B. $25000

C. Symmetry

Step-by-step explanation:

Hope this helps

Answer:

The answer is D hope this helps:)

Step-by-step explanation:

Answer:

x=5/3

x= 3+2\(\sqrt{2}\)

x=  3-2\(\sqrt{2}\)

Step-by-step explanation:

if graphed the x intercepts would be (5/3 , 0) (3+2\(\sqrt{2}\) ) (3-2\(\sqrt{2}\))

y intercepts (0,-5)

Since the inflation was exactly increased to the same percentage as the salary increase of Jordan, the increase in his purchasing power is zero.

Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation reflects a reduction in the purchasing power of money.

If the pay raise is not above the percentage of the inflation then there would be no net increase in the purchasing power.

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Using the given table, it is found that the mean number of children per household for these families is of 2.33.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Researching the problem on the internet, the table states that:

The total number of children is given by:

T = 2 x 4 + 16 x 2 + 13 x 3 + 5 x 1 = 84

Hence the mean number of children for the 36 households is given by:

M = 84/36 = 2.33.

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Answer:

3.5

Step-by-step explanation:

make an equation out of the ratios -- 10/35 = 1/x

cross multiply -- 10x=35

divide both sides by 10

x=3.5

Answer:

1.728 m^3

Step-by-step explanation:

120 cm = 1.20 m

V = 1.20^ 3 = 1.728 m^3

Answer:

\(\huge\boxed{\sf Volume = 1.728 \ m\³}\)

Step-by-step explanation:

Length = l = 120 cm = 1.2 m

We know that,

Volume = 1.2³

Volume = 1.728 m³

\(\rule[225]{225}{2}\)

Answer:

6 weeks and 840 hours

Step-by-step explanation:

There are 168 hours in one week.

24 hrs/day * 7 days = 168 hours

1008 hours ÷ 24 hours(1 day) = 42 days ÷ 7 days in a week = 6 weeks

168 hours/week * 5 weeks = 840 hours

Answer:

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles.so they are always equal.

angle 2=angle 7

Solution of the inequality is q> 1/4 and in interval notation is (1/4 , ∞ ).

According to the question we have been given the inequality that is

                3/4q - 2/3q < 5/12q - 1/12

Solving the equation step by step we get

First simplifying 3/4q - 2/3q which will get q/12

Therefore,         q/12 < 5/12q - 1/12

moving all the terms with q on the left hand side we get

                       q/12 - 5/12q < -1/12

                       (q-5q)/12 < -1/12

                          -4q/12 < -1/12

multiplying both sides by 12 we get

                            -4q/12 * 12 < -1/12*12

                                -4q < -1

multiplying -1 both sides we get

                                  4q>1

                                     q >1/4

Hence solution of the inequality we get

                  (1/4 , ∞ )

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Answer:

b.) 6

Step-by-step explanation:

2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Answer:

- 23/36

Step-by-step explanation:

Make sure both fractions of the denominators are the same.

1 x 4 = 4

9 x 4 = 36

3 x 9 = 27

4 x 9 = 36

Final: 4/36 - 27/36 = - 23/36

Answer B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6-

Step-by-step explanation:

Your answer should be written in paragraph/essay format.

Any sources used should be cited at the bottom of your paper.

All answers should show you have learned something from Unit 9.  Material from other units will not be graded for this assignment.

If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.

In this case, Sarah has paid a total of $595 for her membership and Cheyenne has paid a total of $605 for her membership. This is because Sarah's gym had a $45 sign up fee and cost $50 per month, while Cheyenne's gym cost $55 a month with no sign up fees.

Membership is a type of relationship between a person and an organization or group. It implies that the person has certain responsibilities and privileges as a member of the group. Depending on the organization or group, these responsibilities and privileges might include attending meetings, paying dues or fees, voting privileges, access to services and discounts, or having the right to hold office.

Cheyenne's gym is more expensive due to its lack of a sign up fee and the higher monthly rate of $55. However, Sarah has paid more money overall due to her sign up fee. Even though Cheyenne's gym is more expensive on a month-to-month basis, the sign up fee makes Sarah's total cost higher.

The difference in cost between Sarah and Cheyenne's memberships is not substantial, but it is worth noting that the sign up fee can make a difference in the overall cost of a membership. It is also important to factor in the cost of any additional fees when comparing gym memberships. This can help someone determine which gym membership is a better value for their money.

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9514 1404 393

Answer:

  3 +3d ≥ 15

  d ≥ 4

Step-by-step explanation:

Since Joe runs 3 miles for each day he runs, the number of miles he runs in d days is 3d. That, added to the distance he has already run, will total the amount for the week. He wants that to be at least (greater than or equal to) 15 miles:

  3 + 3d ≥ 15

__

We can divide by 3 to get ...

  1 + d ≥ 5

  d ≥ 4 . . . . . . . subtract 1

Joe must run at least 4 additional days this week to run at least 15 miles.