what is the answer?
Question 11, 6.2.33 HW Score: 70% Points: 0 om Next question Solve the equation for solutions over the interval 10,360") cot 9-4cc0-5 Select the correct choice below and, if necessary, fill in the ans

Answer:

x² + 5x - 14 = (x + 7)(x - 2)

x² - 3x - 54 = (x - 9)(x + 6)

x² + 8x + 12 = (x + 2)(x + 6)

x² - 11x + 30 = (x - 5)(x - 6)

x² - 25 = (x + 5)(x - 5)

x² + 8x - 9 = (x - 1)(x + 9)

Step-by-step explanation:

To factor x² + ax + b, look for two numbers whose sum is a and whose product is b.

The factorization of x² - a² is (x + a)(x - a).

x² + 5x - 14 = (x + 7)(x - 2)

x² - 3x - 54 = (x - 9)(x + 6)

x² + 8x + 12 = (x + 2)(x + 6)

x² - 11x + 30 = (x - 5)(x - 6)

x² - 25 = (x + 5)(x - 5)

x² + 8x - 9 = (x - 1)(x + 9)

The factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

From the question we are to factor the given quadratic expressions

y = x² +7x -2x - 14

y = x(x +7) -2(x +7)

y = (x -2)(x +7)

y = x² -9x +6x - 54

y = x(x -9) +6(x -9)

y = (x +6)(x -9)

y = x² +6x +2x +12

y = x(x +6) +2(x +6)

y = (x +2)(x +6)

y = x² -6x -5x +30

y = x(x -6) -5(x -6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = x² +9x -x -9

y = x(x +9) -1(x +9)

y = (x -1)(x +9)

y = (x +4)(x -4)

Hence, the factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

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Answer:

True.

Step-by-step explanation:

True.

Let's say A = 5, and B = 10.

We need to swap the contents of A and B, so A will end up with 10 and B will end up with 5.

A = 5

B = 10

Introduce variable C.

C = A (now C contains 5)

A = B (now A contains 10)

B = C (now B contains 5)

In the last two steps above, you see that the values of A and B were swapped.

The economic and political circumstances that President Obama thinks might make terrorist groups attractive to many people in the world are the economic disparity between the rich and the poor, the political instability in many regions of the world, and dissatisfaction with the current political circumstances.

According to President Obama, there are several economic and political circumstances that might make terrorist groups attractive to many people in the world. The first circumstance is the economic disparity between the rich and the poor. Many people who are attracted to terrorist groups come from poor and underdeveloped countries where there is a lack of economic opportunities. These individuals may be drawn to terrorist groups because they see it as a way to achieve financial stability and gain power.

Another circumstance is the political instability in many regions of the world. Many terrorist groups take advantage of the instability and lack of government control in certain areas to gain support and recruit new members. Additionally, many people who are dissatisfied with their current political circumstances may be drawn to terrorist groups because they believe it is a way to bring about change and fight against perceived injustices.

Overall, the economic and political circumstances that President Obama believes might make terrorist groups attractive to many people in the world are the economic disparity between the rich and the poor, political instability, and dissatisfaction with the current political circumstances.

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Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

(-2 . x) + (-2 . 5) = 4

-2x + -10 = 4

-2x = 4 + 10

-2x / -2 = 14/- 2

x = -7

All the best to you!

The  lateral surface area of the cube. 56.25 feet²

A cube is a solid three-dimensional figure that has 6 congruent square faces, 8 vertices and 12 edges. It is sometimes referred to as a regular hexahedron or as a square prism and is one of the 5 platonic solids

The area of the cube is given by

Area = S²

area is 7.5²

Area = 56.25 feet²

In conclusion, the area of the cube with the dimension is 56.25 feet²

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Answer:

the first sandwich is being roast beef and the second sandwich being ham is 1/3 = 1/9

Step-by-step explanation:

Answer::

Explanation:

Let the number of lasagna cupcakes made = x

Let the number of Gorgonzola onion tarts made = y

0. It takes ,10 minutes, to assemble each pan of lasagna cupcakes.

1. It takes ,15 minutes, to roll out the Gorgonzola onion tarts and fill each pan.

2. She has a maximum of ,2 hours (120 minutes), to assemble the appetizers.

These translate to the inequality:

0. Each pan of lasagna cupcakes takes 20 minutes to bake.

1. Each pan of Gorgonzola tarts takes 6 minutes to bake.

2. She has 60 minutes to bake the appetizers.

These translate to the inequality:

Since she must bake either lasagna cupcakes or Gorgonzola tarts, we have that:

So the system of inequalities is:

The graph that bests represents this scenario is:

To find the coordinates of the other endpoint of a segment given its midpoint and one endpoint, we can use the midpoint formula and solve for the unknown coordinates. In the given case, the other endpoint is (-13, 9).

Let (x, y) be the unknown endpoint of the segment. We are given the midpoint as (-14, 14) and one endpoint as (-15, 19).

Using the midpoint formula, we know that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the two endpoints. Applying this formula, we have:

(x + (-15)) / 2 = -14   ->   (x - 15) = -28   ->   x = -13

(y + 19) / 2 = 14   ->   (y + 19) = 28   ->   y = 9

Therefore, the coordinates of the other endpoint of the segment are (-13, 9).

In general, given the midpoint M(c, n) and one endpoint Q(h, s), we can apply the same approach to find the coordinates of the other endpoint. By using the midpoint formula and solving the resulting equations, we can determine the unknown coordinates and obtain the coordinates of the other endpoint, denoted as P.

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Answer:

Step-by-step explanation:

Answer: A=38.48

Step-by-step explanation:

A=πr^2

7/2=3.5

3.5x3.5=12.25

12.25π

38.48

Hope this helps! :)

Answer:

the amount that he would make in a week is $576.00

Step-by-step explanation:

14.40 * 40                                                                4*0=0

0*0=0                                                                       4*4=16

0*4=0                                                                        4*4+1=17

add the decimal                                                       4*1+1=5

0*4=0

0*1=0                                                                            Then you add and you

then you move on to the tens digit                            get a total of $576.00

Exact Area =  225/pi

Approximate Area = 71.65605

The approximate value is using pi = 3.14; I rounded to the five decimal places. The units for the area are in square feet, which can be written as "sq ft" or "ft^2" without quotes.

============================================================

Explanation:

C = 30 is the circumference

C = 2*pi*r ... is the circumference in general

Equate the two right hand sides and isolate r

2pi*r = 30

r = 30/(2pi)

r = 15/pi

This is the exact radius in terms of pi

Plug this into the area formula to get...

A = pi*r^2

A = pi*( r )^2

A = pi*( 15/pi )^2

A = pi*( 225/(pi^2) )

A = 225/pi

This is the exact area in terms of pi. If your teacher wants the exact answer, and only this, then you can stop here.

If your teacher wants you to use pi = 3.14 as the approximation, then we'll get an approximate area of roughly A = 225/pi = 225/3.14 = 71.65605 square feet. Use more decimal digits in pi to get a better approximation.

Since 1/4 is greater than 1/6 we can infer that Tiffany painted more of the room's wall.

Since most walls are square or rectangular, their surface area may be calculated by multiplying the width and height values, then taking out any spaces for doors or windows. However, unusual architecture and design might lead to the combination of the rectangle with triangular, round, or trapezoidal shapes. Using the fundamental formulas for estimating the area of two-dimensional forms is the key to accurately determining the surface area of a wall.

We must determine the precise dimensions of the parts Tiffany and Roberto painted in order to compare the quantity of each.

Assume for the moment that the wall is one unit in size. Tiffany then painted 1/4.

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a) Probability of selecting red from box A is 2/5, since there are 2 red balls out of 5. Pr[R1]= 2/5

b) Now, if the first ball was red, the second ball will be selected from box B. If the first ball was not red, the second ball will be selected from box

c) The probability of that green selected in the second draw given that first ball was red, Pr[G|R] is zero, since there is no green ball in box B. Pr[G] = 0 Pr[R2 R1] means probability of getting red in the second draw, given that the first ball was red. This is same as probability of getting red in the first draw, which is 2/5. Pr[R2 R1] = 2/5

d) Pr[R2|G1] means probability of getting red in the second draw given that the first ball was green. In this case, the second ball will be taken from box C. There are 1 red and 2 green balls in box C. So the probability of getting red in the second draw given that the first ball was green, Pr[R2|G1] is 1/3. Pr[R2|G1]=1/3

e) Pr[G2|G1] means probability of getting green in the second draw given that the first ball was green. In this case, the second ball will be taken from box C. There are 2 green balls and 1 red ball in box C. So the probability of getting green in the second draw given that the first ball was green, Pr[G2|G1] is 2/3. Pr[G2|G1]=2/3

f) Pr[G2|R1] means probability of getting green in the second draw given that the first ball was red. Since the second ball will be taken from box B, which contains 1 green and 1 red ball, the probability of getting green in the second draw given that the first ball was red, Pr[G2|R1] is 1/2. Pr[G2|R1]=1/2.

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Answer:

the answer is 9

Step-by-step explanation:

when doubled 9 is 18

18+7=25

Answer:

9

Step-by-step explanation:

9+9=18 18-9=9 9×2=18 18÷9=2 18÷2=9

The 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).

The parameter being estimated is the difference between two population proportions.

To find the 95% confidence interval for this parameter, we can use the margin of error formula:

where z is the z-score for the desired level of confidence (95% in this case), p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

We know that the difference between the sample proportions (phat1 - phat2) is 0.13, and the margin of error is 3%. Since the sampling distribution is assumed to be symmetric and bell-shaped, we can assume that the standard deviation of the difference between the sample proportions is equal to the standard error, which can be estimated by the margin of error.

Setting up an equation using the margin of error formula, we get:

We don't know the sample sizes or the sample proportions, so we can't solve for the confidence interval directly. However, we can use a conservative estimate for the standard deviation of the difference between the sample proportions:

Using this formula, we get:

This is approximately equal to the margin of error, so we can assume that z ≈ 1.96 (the z-score for 95% confidence) and use the formula:

Therefore, the 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).

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The first step in solving the equation is:

The first step would be to add 2 to 16, eliminating it from the left side. To then divide both sides by 9.

Given:

the equation is:

9m-2=16

Add 2 to each side : 9m-2+2=16+2

Simplify: 9m=18

Divide both sides by 9:

9m/9 = 18/9

Simplify: m=2

All operations that are included in parentheses or brackets are first solved. To solve any exponents, come second. Third, left to right is the order in which we always multiply and divide. Fourthly, we work through every addition and subtraction problem left to right.

Hence we get the required answer.

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Answer:

$0.68 per pound

Step-by-step explanation:

8.16/12

Answer:

$1.47 per pound

Step-by-step explanation:

Answer:

angle 3 and angle 4 are equal because the diagonals/2 are equal. Angle 4 equals angle 1 due to opposite interior angles thereom. 90 degrees minus 37=53 degrees which is angle 2. Since angle 2 is equal to the angle GKH, 53+53=106 and 180-106=74 degrees, and due to vertical angles, angle 7 is 74 degrees.

South would be straight down (leg 1 of the triangle) and east would be right from that point (leg 2 of the triangle). Therefore, we are looking for the hypotenuse of the triangle.

Pythagorean Theorem: a^2 + b^2 = c^2

6^2 + 5^2 = c^2

36 + 25 = c^2

61 = c^2

c = sqrt(61)

c = 7.8 miles

Hope this helps!

9514 1404 393

Answer:

  m∠1 = 53°

  m∠2 = 127°

Step-by-step explanation:

Angles 1 and the one marked 53° are "corresponding" angles, so congruent.

  m∠1 = 53°

Angles 2 and the one marked 53° form a linear pair, so are supplementary.

  m∠2 = 180° -53°

  m∠2 = 127°

Answer:

hope this pic helps you

Answer:

Domain is all real numbers, x ≠ -5

Range is all real numbers, y ≠ 0

Step-by-step explanation:

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

Answer:

John's and Amber's wages are proportional to time. John's unit rate it $9 per hour. Amber's unit rate is $8 per hour

Step-by-step explanation:

The table(johns) shows this because he earns $9 more for every extra hour he works. this makes the unit rate $9 an hour.

The graph(ambers) shows that her pay increases at a steady rate, hitting a multiple of 8 every hour. This makes the unit rate $8 an hour.

An outlier can falsely indicate correlation when there is none by distorting the overall trend. It can also mask correlation when present by offsetting the relationship.

An outlier is a data point that deviates significantly from the overall pattern or trend in a dataset. It can have different effects on the appearance of correlation depending on its characteristics and position.

An outlier can falsely indicate the presence of correlation when there is none by distorting the overall trend. If an outlier falls in a position that aligns with the expected correlation, it may create the illusion of a relationship. This is represented by option C, where the outlier is located in a place where the correlation would predict.

Conversely, an outlier can mask the presence of correlation when it actually exists. If the outlier is far separated from the rest of the data points, it can disrupt the overall pattern and weaken the observed correlation. This corresponds to option B, where the outlier is significantly separated from the main cluster.

In general, it is reasonable to ignore outliers when studying correlations if they are deemed to be influential or resulting from measurement errors or other exceptional circumstances. However, careful consideration and judgment are necessary before excluding outliers, as they may contain valuable information or represent genuine characteristics of the data.

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Answer:

9.

p ≤ -3

The graph is a closed dot (filled in dot) on -3, and an thick line with an arrowhead pointing to the left coming out of the -3.

Step-by-step explanation:

8.

Your answer to 8. is correct, but you need to be careful solving it.

6x = -48

You have 6x on the left side. You want x alone. You need to divide both sides by 6, not by 6x.

\( \dfrac{6x}{6} = \dfrac{-48}{6} \)

x = -8

9.

-2 ≥ 4p + 6 + 4

Add like terms on the right side.

-2 ≥ 4p + 10

You want variables on the left side and numbers on the right side.

Subtract 4p from both sides.

-2 - 4p ≥ 4p - 4p + 10

-2 - 4p ≥ 10

Add 2 to both sides.

-2 + 2 - 4p ≥ 10 + 2

-4p ≥ 12

Now we need to divide both sides by -4. In an inequality, when you multiply both sides or divide both sides by a negative number, the inequality sign changes direction.

\( \dfrac{-4p}{-4} \le \dfrac{12}{-4} \)

p ≤ -3

The graph is a closed dot (filled in dot) on -3, and an thick line with an arrowhead pointing to the left coming out of the -3.

Categorical type of variable are we studying when we do a proportions inference test.

What kind of variable do we measure when we talk about variables?

A measurement variable called an interval is employed to specify values taken along a scale with each point being positioned equally apart. Every variable with a significant difference between two values is said to be an interval variable.

                       When comparing temperatures, the difference between 90 and 80 degrees and between 100 and 90 degrees is the same. While a ratio variable shares all the characteristics of an interval variable, it additionally clearly defines 0.0.

Because Categorical variable and contain two categories.

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Answer:

Step-by-step explanation:

Thde y-intercept is the value oy y when x = 0.  The data table tells us the value of y when x=0 is 4.  The ordered pair is (0,4)