7x^2– 19x – 6

How do I factorize this expression?

Answer:

  62.9 square units

Step-by-step explanation:

The area of a composite shape is the sum of the areas of the parts. Here the shape consists of a positive rectangle that has dimensions 8 × 11, together with a negative half circle of radius 8/2 = 4. That is, the area of the half-circle is subtracted from the area of the rectangle, as the problem statement tells you.

__

The area of a rectangle is the product of its dimensions:

  A = LW = (11)(8) = 88 . . . . square units

The area of a semicircle is half the area of a circle, so will be given by the formula ...

  A = 1/2πr^2 = 1/2π(4^2) = 8π ≈ 25.1 . . . . square units

The area of the figure shown is the difference between the rectangle area and the semicircle area:

  total area = rectangle area - semicircle area

  total area = 88 -25.1 = 62.9 . . . . square units

Answer:

its 16

Step-by-step explanation:

8 /x = 10/20

20 * 8 =160

10 * x =10x

10x = 160

x=16

Answer:

A. -148

Step-by-step explanation:

3x³ - 2x² + 7y

3(-3)³ - 2(-3)² + 7(-7)

3(-27) - 2(9) - 49

-81 - 18 - 49

-148

I hope this helps!

No, Andy did not find the solution to the problem 252 = 125 + 1 in the correct manner. The mistake was made when computing the total of the numbers on the right side of the equation, which was done incorrectly. Finding the answer that is 126, which is the sum of 125 and 1, is part of the correct solution.

Andy's calculation of the sum on the right side of the equation 252 = 125 + 1 had an inaccuracy, which led to an incorrect answer. It appears that he made a calculation error by putting the numbers together, as the result of which was 1 rather than the correct amount of 125. On the other hand, the accurate total is 126.

To get the right answer to the problem, all we need to do is add 125 and 1, which gives us a total of 126. Since this is the case, the answer to the equation 252 = 125 + 1 should be written as 252 = 126. Andy's computation was erroneous as a result of the inaccurate total that he produced, and the proper answer requires locating the accurate sum of the values that are on the right side of the equation.

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Answer: 2

Step-by-step explanation: idek

The balance at the end of the month is $4182.22

Given,

Balance at the beginning of the month =$6735.95

Deposits during the month =$2040.36

Wrote checks during the month =$3953.41

charged maintenance fee =30$

Interest earned = $19.32

Balance at the end of the month can be calculated by adding interest earned and deposits to the balance at beginning of month and subtracting checks, maintenance fee from it.

Balance at the end of the month,

6735.95 + 2040.36 - 3953.41 - 30 + 19.32

=4182.22

Thus, the balance at the end of the month is $4182.22

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Answer:

1. 6

2. -1

3. 0

4. -9

5. 0

6. -21

7. 119

8. -60

9. 64

10. 45 degrees

Step-by-step explanation:

The probability of selecting one marble of each color when three marbles are selected with replacement is approximately 0.0356 or 3.56%. This is calculated by multiplying the probabilities of selecting a red, white, and blue marble, which are 4/15, 5/15, and 6/15, respectively.

To determine the probability of selecting one marble of each color when three marbles are selected with replacement, we can calculate the probability for each color and then multiply them together.

The probability of selecting a red marble is 4/15 (since there are 4 red marbles out of a total of 15 marbles).

The probability of selecting a white marble is 5/15 (since there are 5 white marbles out of a total of 15 marbles).

The probability of selecting a blue marble is 6/15 (since there are 6 blue marbles out of a total of 15 marbles).

Since the marbles are selected with replacement, the probability of each color remains the same for each selection.

To get one marble of each color, we need to multiply the probabilities together:

Probability = (4/15) * (5/15) * (6/15) = 120/3375 ≈ 0.0356

Therefore, the probability of selecting one marble of each color when three marbles are selected with replacement is approximately 0.0356 or 3.56%.

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The two equations given represent a system of linear equations with two variables, x and y. To solve for the values of x and y, we can use one of several methods such as substitution or elimination.

Using substitution, we can solve for one variable in terms of the other in one equation and substitute it into the other equation. From the second equation, we can solve for x in terms of y: x = -5y/4. We can then substitute this value for x into the first equation and solve for y: y/4 - (-5y/4)/5 = 6, which simplifies to y = 48.

To find the value of x, we can substitute y = 48 back into either equation and solve for x. Using the second equation, we get x/15 + 48/12 = 0, which simplifies to x = -80. Therefore, the solution to the system of equations is (x,y) = (-80,48).
To solve the system of equations:

1. y/4 - x/5 = 6
2. x/15 + y/12 = 0

Step 1: Multiply both sides of equation 1 by 60 (LCM of 4, 5, and 12) to eliminate denominators:
(60)y/4 - (60)x/5 = 6*60
15y - 12x = 360

Step 2: Multiply both sides of equation 2 by 60 (LCM of 15 and 12) to eliminate denominators:
(60)x/15 + (60)y/12 = 0*60
4x + 5y = 0

Step 3: Solve for x using the second equation:
x = -5y/4

Step 4: Substitute x in the first equation:
15y - 12(-5y/4) = 360

Step 5: Solve for y:
27y = 360
y = 40/3

Step 6: Substitute y into the expression for x:
x = -5(40/3)/4
x = -50/3

The solution is x = -50/3 and y = 40/3.

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          ⇒ Area = 18 * 18 = 324 square inches

         ⇒ Height = 14 inches

          ⇒ \(\frac{1}{3} * 324 * 14 = 108 * 14 =\) 1512 cubic inches

Hope that helps!

Answer:

-10/3 \(\leq\) x \(\leq\) -13/6

Step-by-step explanation

-3 \(\leq\) 3x +7 \(\leq\) 1/2

-10 \(\leq \\\) 3x \(\leq\) -13/2

-10/3 \(\leq\) x \(\leq\) -13/6

Domain

\(-\infty \: < x < \infty\)

Range

\(f\left(x\right)\ge \:-7\:\)

Here is my answer. I hope this is helpful.

Answer:

196 meters

Step-by-step explanation:

It would be 196 meters below or the lowest point would be the bottom. If it asks for feet do the conversion rate.

Answer:

-281

Step-by-step explanation:

–85–196 = – 85+(– 196) = –281

Answer:

The answer to find x is C) 5√3 yd

Answer:

1 2 5

Step-by-step explanation:

Answer:

A, D, E  are the correct ones    aka  1, 4 and 5

Step-by-step explanation:

Answer:

1, 4, and 5

Step-by-step explanation:

18-2x5

18-10

8

6+4x4

6+16

22

6x9-9

54-9

45

7x9+1

63+1

64

4x6-6

24-6

18

Answer:

the answer is 54 minutes

Answer:

Step-by-step explanation:

47

The volume of the sphere given to the nearest tenth is 329,167.37 cubic millimeters.

surface area of the sphere = 23,047 square millimeters

Surface area of a sphere = 4πr²

23,047 = 4 × 3.14 × r²

23,047 = 12.56r²

divide both sides by 12.56

r² = 23,047 / 12.56

r² = 1834.952229299363

Find the square root of both sides

r = √1834.952229299363

r = 42.84 millimeters

Volume of a sphere = 4/3πr³

= 4/3 × 3.14 × 42.84³

= 4/3 × 3.14 × 78,622.778304

= 987,502.09549824 / 3

= 329,167.36516608

Approximately,

Volume = 329,167.37 cubic millimeters

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Answer:

84

Step-by-step explanation:

To find the length of the image \(\overline{G'H'}\), multiply the length of the preimage \(\overline{GH}\) by the scale factor of \(4\).

The discontinuity of the Sprint PCS monthly cellular phone plan may lead to problems such as lack of flexibility, uncertainty, limited options, customer dissatisfaction, and communication and transition issues.

The discontinuity of the Sprint PCS monthly cellular phone plan may introduce several problems:

Lack of Flexibility: With a discontinued plan, customers may not have the option to continue using the plan or renew it. This lack of flexibility can be inconvenient for customers who prefer the plan's features and pricing.

Uncertainty: Discontinuing a plan may create uncertainty for customers who rely on its specific terms and conditions. They may need to switch to a different plan, which might not offer the same benefits or pricing.

Limited Options: Discontinuing a plan reduces the choices available to customers. They may have to select from a smaller pool of plans, which might not align with their usage patterns or budget.

Customer Dissatisfaction: Customers who were using the discontinued plan may become dissatisfied with the sudden change. They may feel that the new plans offered by Sprint PCS do not meet their needs or provide the same level of value.

Communication and Transition Issues: Sprint PCS needs to effectively communicate the discontinuation of the plan to its customers and assist them in transitioning to alternative plans. Failure to do so may lead to confusion and inconvenience for customers.

Overall, discontinuing a plan can create challenges for both the company and its customers, including limited options, customer dissatisfaction, and communication issues.

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The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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The required equation is \(8+\dfrac{n}{3}=-2\) and the required unknown number is \(n=-30\).

Given:

The statement is "Eight plus the quotient of a number and 3 is -2".

To find:

The required equation and the value of the variable \(n\).

Solution:

Let \(n\) be the unknown number.

Quotient of a number and 3 is \(\dfrac{n}{3}\).

Eight plus the quotient of a number and 3 is \(8+\dfrac{n}{3}\).

It is given that eight plus the quotient of a number and 3 is -2. So,

\(8+\dfrac{n}{3}=-2\)

The required equation is \(8+\dfrac{n}{3}=-2\)

Multiply both sides by 3.

\(24+n=-6\)

Subtracting 24 from both sides, we get

\(24+n-24=-6-24\)

\(n=-30\)

The required unknown number is \(n=-30\).

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Answer:

67.3

Step-by-step explanation:

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then \($g(x) =x^2-10\) exists g(10) = 90.

The value of g(10), we have to substitute in every x of f(x), the

\(f(x) = 2x + 1\) exists f(90) = 181

Therefore, the value of f[g(10)] exists 181.

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then

\($g(x) =x^2-10\)

substitute the value of x = 10

\($g(10) = (10)^2-10\)

simplifying the equation, we get

g(10) = 100 - 10

g(10) = 90

We have the value of g(10), we have to substitute in every x of f(x), then

f(x) = 2x + 1

substitute the value of x = 90

f(90) = 2(90) + 1

simplifying the equation, we get

f(90) = 180 + 1

f(90) = 181

The value of f[g(10)] exists 181.

Therefore, the correct answer is option b) 181.

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The number of ways to  match 5 of 6 numbers is 6 ways

The number of ways to  match 4 of 6 numbers is 15 ways

The number of ways to  match 3 of 6 numbers is 20 ways

To calculate number of ways to match 5 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C5=\frac{6!}{(6-5)! . 5!}\)

\(6C5=\frac{6!}{(1)! . 5!}\)

\(6C5=\frac{6.5.4.3.2.1}{1.5.4.3.2.1}\)

\(6C5=\frac{6}{1}\)

\(6C5= 6 \ ways\)

∴ 6 ways are to match 5 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C4=\frac{6!}{(6-4)! . 4!}\)

\(6C4=\frac{6!}{(2)! . 4!}\)

\(6C4=\frac{6.5.4.3.2.1}{2.1.4.3.2.1}\)

\(6C4=\frac{30}{2}\)

\(6C4= 15 \ ways\)

∴ 15 ways are to match 4 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C3=\frac{6!}{(6-3)! . 3!}\)

\(6C3=\frac{6!}{(3)! . 3!}\)

\(6C3=\frac{6.5.4.3.2.1}{3.2.1.3.2.1}\)

\(6C3=\frac{120}{6}\)

\(6C3= 20 \ ways\)

∴ 20 ways are to match 3 of 6 numbers

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Answer:

Question 2: 2/3

Question 1: 1/3

Question 3: 20

Step-by-step explanation:

Question 2: 8/4 = 2 & 12/4 = 3.

Question 1: 6/6 = 1 & 18/6 = 3.

Question 3: 10/10 = 1 & 20/10 = 2.

Answer:

If the Jones family needs to reach their destination by 1:15 PM and their drive will take one and a half hours, we can work backwards to determine the latest time they can leave.

Subtracting 1.5 hours from 1:15 PM, we get:

1:15 PM - 1.5 hours = 11:45 AM

Therefore, the latest time the Jones family can leave and still reach their destination on time is 11:45 AM.