Please please help! I'm so stuck on a simple problem
Given a line segment that contains the points A,B, & C in order, if AB = 2x + 3, BC = 4x - 11, and AC = 28, find the length of segment AB.


15

12

9

38

I don't know why I am having difficulties with this one but if you could walk me through that would be great

Answer:

\(\{5,8\}\) is a subset of \(\{2,5,8\}\)

Step-by-step explanation:

Required

Difference between subset and proper subset

To answer this question, I will use the following illustration.

\(A = \{1,2,3\}\)

\(B = \{2,3\}\)

\(C = \{1,2,3\}\)

In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.

Set C is a subset of A because \(A = C\)

Using the above illustration, we have:

\(\{5,8\}\) and \(\{2,5,8\}\)

\(\{5,8\}\) is a subset of \(\{2,5,8\}\), because 5 and 8 are in \(\{2,5,8\}\) but 2 which ca be found in \(\{2,5,8\}\) is not in \(\{5,8\}\)

Answer:

(y + 4)(y + 1)

Step-by-step explanation:

Given

y² + 5y + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)

The factors are + 4 and + 1 , since

4 × 1 = 4 and sum = 4 + 1 = 5 , thus

y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors

The probability of Jack taking 2 red candies is 3/28.

What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).

The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.

Solution Explained:

Given in the question,

A bag contains 3 red and 5 green candies.

Total possibilities is 3 + 5 = 8  

Jack takes a candy at random and eats it  

A/Q there are 3 red candies out of 8, the probability is given by,

P(R) = 3/8

Now there are 2 red candies out of 7, so the probability is given by,

P(R') = 2/7

The probability of both events is given by,

P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28

Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28

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The money in his bank account after the deposit is $12.09.

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In linear equation, 4/3  is the solution for equation .

What is linear equation?

-x + 3/7 = 2x - 25/7

On solving

- 7x + 3/7 = 14x - 25/7

- 7x + 3 = 14x - 25

14x + 7x = 25 + 3

21x = 28

x = 28/21 = 4/3

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

4

Step-by-step explanation:

gradient = diffrence in y / diffrence in x

= 4-0/5-4

4

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

3-4

because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is

4 3 3 3

It will take approximately 15.5 years for the amount to double, rounded to the nearest tenth.

To find out how long it will take for the amount to double, we can use the continuous compound interest formula:

A = P * e^(rt)

Where:

A = Final amount (double the initial amount)

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case, the initial investment (P) is $1000, and we want to find the time it takes for the amount to double. The final amount (A) is $2000 (double the initial amount). The annual interest rate (r) is 4.5% or 0.045 (in decimal form).

Plugging these values into the formula, we have:

2000 = 1000 * e^(0.045t)

Dividing both sides by 1000:

2 = e^(0.045t)

Taking the natural logarithm (ln) of both sides:

ln(2) = 0.045t

Finally, solving for t:

t = ln(2) / 0.045 ≈ 15.5

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The system of inequality for the problem is

x +  y ≤ 12

22x + 10y ≥ 170

y ≥ 2

And we have identified the solution of these inequality as (4.167,7.833)

System of inequality

System of inequalities consists of at least two linear inequalities in the same variables. And the solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

Given,

Abigail is working two summer jobs, making $22 per hour tutoring and making $10 per hour landscaping. In a given week, she can work a maximum of 12 total hours and must earn at least $170. Also, she must work a minimum of 2 hours landscaping.

Here we need to find the system f inequality, then plot it on the graph to identify the solution of it.

Let us consider the following:

x refers the number of hours spent tutoring

y refers the number of hours spent landscaping.

Cost for 1 hour of tutoring = $22

Cost for 1 hour of landscaping = $10

So, we know that, she can work a maximum of 12 total hours, so it can be written as,

x + y ≤ 12

And she must earn at least $170,

22x + 10y ≥ 170

Here we also know that, she must work a minimum of 2 hours landscaping, so,

y ≥ 2

When we plot these inequality then we get he graph like the following.

While we looking into the graph, we have identified that the solution is (4.167,7.833) which means 4.167 hours of tutoring and 7.833 hours of landscaping will earn $170.

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The first mistake McKenna made when change the expression to standard form is in step 2.

PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.

For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.

In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.

You question is incomplete, but most probably your full question was

McKenna was asked to write the following expression in standard form.

3−5(3a+6)

When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)

3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4

McKenna made her first mistake in

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The unit tiles that needs to be added to the equation  x²+4x+3 will be 1. The correct answer is A.

A square number, also known as a perfect square, is an integer that is the square of another integer. It results from dividing two integers by two.

When converting an expression to a perfect square trinomial

x²+4x+3

We must rearrange the statement in order to transform it into the perfect square.

x²+(2x+2x)+3

Extend the formula (x+2)²

(x+2)² = x² + 2(2x) + 2(2) (2)

(x+2)² = x² + 4 + 4x

(x+2)² = x² + 4x + 4

Add the constant terms together, then subtract them.

Difference is 4 minus 3.

Difference = 1

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The result of rotating the area enclosed by the curves y = Ln(x), y = 2, and x = 1 around the y-axis and then rotating the resulting shape around the line y = -2 is a volume of 64π cubic units.

To set up an integral for the volume obtained when the region is rotated about the y-axis bounded by curves y = Ln(x), y = 2, and x = 1 is revolved around the line y = -2, we can use the method of cylindrical shells.

First, we need to determine the limits of integration. Since the region is bounded by y = Ln(x), y = 2, and x = 1, the limits of integration for y are -2 ≤ y ≤ 2 and for x, 1 ≤ x ≤ e², since Ln(x) = 2 when x = e².

Next, we need to find the radius of each cylindrical shell. Since the region is being rotated about the line y = -2, the radius of each shell is the distance from the line y = -2 to the curve y = f(x), where f(x) is the top curve of the region. In this case, f(x) = 2, so the radius of each shell is 2 - (-2) = 4.

Finally, we need to find the height of each cylindrical shell. This is given by the differential dy, which represents the thickness of the shell. Therefore, the volume of each cylindrical shell is given by:

dV = 2πr dy

where r = 4 is the radius of each shell.

Putting it all together, the integral for the volume is:

V = ∫[from -2 to 2] 2πr dy

= ∫[from -2 to 2] 2π(4) dy

= 32π ∫[from -2 to 2] dy

= 64π

Therefore, the volume obtained when the region is rotated about the y-axis bounded by curves y = Ln(x), y = 2, and x = 1 is revolved around the line y = -2 is 64π cubic units.

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Complete question:

Set up an integral for the volume obtained when the region is rotated about the y-axis bounded by curves y=Ln(x), y=2, and x=1 is revolved around the line y=-2. Do not evaluate

Answer:

3600mm

Step-by-step explanation:

The probability of the team having at most 1 injury in the game can be calculated using a Poisson distribution.

To find the probability of the team having at most 1 injury in a typical football game, we can use a Poisson distribution. The Poisson distribution is commonly used to model the occurrence of rare events, such as injuries in this case.

The parameter for the Poisson distribution is the average number of injuries per game, which is given as 3.2.

Let's denote the random variable X as the number of injuries in a game. We need to calculate the probability P(X ≤ 1), which represents the probability of having at most 1 injury.

Using the Poisson distribution formula, we can compute this probability:

P(X ≤ 1) = P(X = 0) + P(X = 1)

Using the Poisson probability mass function, we substitute the values into the formula and calculate the probability.

The result will be the probability that the team will have at most 1 injury in the game.

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The probability of event E = (1, 2, 3) is 1/8. The sample space of possible outcomes of a basketball player shooting three free throws, using $ for made and F for a missed free throw can be represented using a tree diagram:
```
    /   |   \
   $     $     $
  / \   / \   / \
 $   $ $   $ $   F
/ \ / \ / \ / \
$  $ $  $ $  F $  
```
In the above tree diagram, each branch represents a possible outcome of a free throw. There are two possible outcomes - a made free throw or a missed free throw. Since the player is shooting three free throws, the total number of possible outcomes can be calculated as: 2 x 2 x 2 = 8 possible outcomes
Now, we need to compute the probability of event E = (1, 2, 3), which means the player made the first three free throws. Since each free throw is independent of the others, the probability of making the first free throw is 1/2, the probability of making the second free throw is also 1/2, and the probability of making the third free throw is also 1/2.
Therefore, the probability of event E can be calculated as:
P(E) = P(1st free throw made) x P(2nd free throw made) x P(3rd free throw made)
    = 1/2 x 1/2 x 1/2
    = 1/8
Hence, the probability of event E = (1, 2, 3) is 1/8.

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Answer:

It is either B or D but i would say B

Step-by-step explanation:

There are 13,992 integers between 1 and 1,000,000 with a sum of digits equal to 15.

To find the number of integers between 1 and 1,000,000 with a sum of digits equal to 15, we can use a combinatorial approach.

We need to distribute the sum of 15 among the digits of the number. We can think of this as placing 15 indistinguishable balls into 6 distinct boxes (corresponding to the digits).

Using the stars and bars method, the number of ways to distribute the sum of 15 among 6 boxes is given by the combination formula:

C(n + r - 1, r - 1)

where n is the sum (15) and r is the number of boxes (6).

Plugging in the values, we have:

C(15 + 6 - 1, 6 - 1) = C(20, 5)

Calculating this combination, we find:

C(20, 5) = 13,992

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Answer:

10 units. square

Step-by-step explanation:

Lenght = 5

Breadth = 2

Area = l x b = 5 x 2= 10

I hope im right!!

Answer:

correct answer is 10 unit sq

hope it helps

Answer:

Step-by-step explanation:

7. 2/5

8. 3/5

9. 2/5

10. 2/5

Answer:

Number 7: 2/5 chance or 40%

Number 8: 4/5 or 80% chance

Number 9: 2/5 chance

Number 10: 2/5 chance

Step-by-step explanation:

For each one, you put the total number of polygons at the bottom of the fraction or the denominator and the number of how many of them answer the question as the numerator.

Answer: 1/6

Step-by-step explanation:

This is a question that has to do with the addition of a fraction. Since we are given the information that of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange.

Then, the fraction of the teacups that are either blue or orange will be calculated as:

= 1/12 + 1/12

= 2/12

= 1/6

Therefore, the fraction of the teacups that are either blue or orange is 1/6.

Troy should include $1,200 in gross income related to his gambling activities.

Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

For Troy, the amount he should include in gross income related to his gambling activities is the net winnings, which is calculated by subtracting his losses from his winnings.

Net Winnings = Winnings - Losses

Net Winnings = $2,500 - $1,300

Net Winnings = $1,200

Therefore, Troy should include $1,200 in gross income related to his gambling activities.

For Nicci, if she claimed the standard deduction on her 2021 tax return, she does not need to include the state refund in her gross income. State tax refunds are generally not taxable if the taxpayer did not itemize deductions in the year for which the refund is received. Since Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

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Answer & Step-by-step explanation:

To find if they have a constant of proportionality of 12, use the following:

\(\frac{y}{x}=12\)

Divide y by the x value (x,y), and if the remaining equation is true, then that table has a constant of proportionality of 12.*

:Done

*Make sure you check all the values in a table. Sometimes only the first values will have k=12, while the others don't.

**The constant of proportionality is represented by k.

Answer:

A for Khan Academy :)

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

A dime is 1/10 fraction of a dollar.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.

We have to convert a dime into a fraction of a dollar.

Number of dimes in a dollar = 10

10 dimes = 1 dollar

1 dime = 1/10 dollar

So we can say that one dime is 1/10 of a dollar.

Hence 1/10 fraction of a dollar is 1 dime.

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Step 1

Find the equation of both lines using

Where,

Hence,

For the second line we will have

Step 2

Hence expressed the graphed solution as a piecewise function

Answer:

6) Leg-Leg or Side-Angle-Side

Answer:

puppy

Step-by-step explanation:

Answer:

the andswer there is D

Step-by-step explanation:

just think of it as a cylinder and a square

put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7

then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7

The order of points is:

1. -33         5. -55         9. 2.4

2. -23        6. -2.6        10. 7.6

3. -11.5       7. -2.5        11. 9.3

4. -10         8. 2.33       12. 10.6

Given,

The equations:

1. y = (-2/3) × -16 = 10.66

2. y = (1/2) × -23 = -11.5

3. y = (3/2) × -22 = -33

4. y = (4/3) × -2 = -2.66

5. y = (1/3) × 23 = 7.66

6. y = (1/2) × -5 = -2.5

7. y = (-1/4) × 22 = -5.5

8. y = 1 × -23 = -23

9. y = (4/3) × 7 = 9.33

10. y = (1/3) × 7 = 2.33

11. y = -1 × 10 = -10

12. y = (-2/5) × -6 = 2.4

We have to order this from 1 to 12. That is ascending order:

Here is the equations:

1. y = (3/2) × -22 = -33

2. y = 1 × -23 = -23

3.  y = (1/2) × -23 = -11.5

4. y = -1 × 10 = -10

5. y = (-1/4) × 22 = -5.5

6. y = (4/3) × -2 = -2.66

7. y = (1/2) × -5 = -2.5

8. y = (1/3) × 7 = 2.33

9. y = (-2/5) × -6 = 2.4

10. y = (1/3) × 23 = 7.66

11.  y = (4/3) × 7 = 9.33

12. y = (-2/3) × -16 = 10.66

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