1. (4 points) Find all the solutions to 23 - 1] = 0 in the ring Z/132. Make sure you explain why you have found all the solutions, and why there are no other solutions.

Answer:

\(y = 5x + 20\)

Step-by-step explanation:

Given

\(m = 5\) -- slope

\(c = 20\) --- y intercept

Required

The table

No options are given. So, I will just work on the equation.

The linear equation of a function from the slope and the y intercept is:

\(y = mx + c\\\)

Substitute values for m and c

\(y = 5x + 20\)

Using it's concept, there is a 55% probability that the next chew Fatoumata removes from the bag will be orange or apple.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of 29 experiments, an orange or apple were selected 16 times, hence the probability is found as follows:

p = 16/29 = 0.5517 x 100% = 55.17%.

There is a 55% probability that the next chew Fatoumata removes from the bag will be orange or apple.

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The value of the integral from 2 to 5 for the function f(x) = (4-2x) is -9.

Using the definition of the integral given in Theorem 4, we will find the integral of (4-2x) dx over the interval [2,5]. The integral can be expressed as ∫ba f(x) dx where the lower limit is a and the upper limit is b. The steps to follow are as follows:

Step 1: Define the function to be integrated, f(x) = (4-2x)Step 2: Calculate the integral using the formula: Integral of f(x) dx = F(x) + C where C is a constant and F(x) is the antiderivative of f(x)Step 3: Integrate the function:∫ba f(x) dx = ∫ba (4-2x) dx= [4x - x^2]ba= [4(5) - (5)^2] - [4(2) - (2)^2]= [20 - 25] - [8 - 4]= -5 - 4= -9

Therefore, the value of the integral from 2 to 5 for the function f(x) = (4-2x) is -9.

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Answer:

B) (-3,-1)

Step-by-step explanation:

First, you plug in the numbers to see if they work out. y=2x+5 would change to -1=2(-3)+5, which would in fact equal -1. Then, do the same thing with the other equation. 4y=x-1 would change to 4(-1) = -3-1, which equals -4=-4, which is correct.

Answer:

x - 6 = 12 is the answer

im 100% sure

Answer:

x-6=12

Step-by-step explanation:

X=12+6

X=18

substitute for X in the equation

18-6=12

There are 924 ways to form two 6-person volleyball teams from the group with no restrictions.

There are several ways to form two 6-person volleyball teams from a group of 12 people, including 4 boys and 8 girls. One way is to simply choose any 6 people from the group to form the first team, and then the remaining 6 people would form the second team. Since there are 12 people in total, there are a total of 12C6 ways to choose the first team, which is the same as the number of ways to choose the second team. Therefore, the total number of ways to form two 6-person volleyball teams with no restriction is:
12C6 x 12C6 = 924 x 924 = 854,616
b) With a restriction
If there is a restriction on the number of boys or girls that can be on each team, then the number of ways to form the teams would be different. For example, if each team must have exactly 2 boys and 4 girls, then we would need to count the number of ways to choose 2 boys from the 4 boys, and then choose 4 girls from the 8 girls. The number of ways to do this is:
4C2 x 8C4 = 6 x 70 = 420
Then, once we have chosen the 2 boys and 4 girls for one team, the remaining 2 boys and 4 girls would automatically form the second team. Therefore, there is only one way to form the second team. Thus, the total number of ways to form two 6-person volleyball teams with the restriction that each team must have exactly 2 boys and 4 girls is:
420 x 1 = 420
In summary, the number of ways to form two 6-person volleyball teams from a group of 12 people, including 4 boys and 8 girls, depends on whether there is a restriction on the composition of each team. Without any restriction, there are 854,616 ways to form the teams, while with the restriction that each team must have exactly 2 boys and 4 girls, there is only 420 ways to form the teams.

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The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Applying the midsegment theorem, the perimeter of triangle JKL is: D. 19.

The perimeter of triangle JKL = JK + JL + KL

Find the lengths of JK, JL, and KL using the triangle midsegment theorem.

JK = 2(3.5) = 7 units

JL = 2(4) = 8 units

KL = 2(2) = 4 units.

Perimeter of triangle JKL = 7 + 8 + 4

Perimeter of triangle JKL = 19 units.

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Answer:  D. 19

Step-by-step explanation:  Answer is correct on Edge. Trust Me! :)

MO, MN, and ON are the midsegments of △JKL.

Triangle M N O is inside triangle J K L. Points M, N, and O are the midpoints of sides J K, J L, and K L.

Q: What is the perimeter of △JKL?  

A:  D. 19

Answer:

did not get the point of the sum

The Centers for Disease Control and Prevention (CDC) wants to estimate the average extra hospital stay that occurs when heart surgery patients experience postoperative atrial fibrillation. They divide the United States into nine regions. In each region, hospitals are selected at random within each hospital size group (small, medium, large). In each hospital, heart surgery patients are sampled according to known percentages by age group (under 50, 50 to 64, 65 and over) and gender (male, female). This procedure combines (option c) cluster, stratified, and simple random.

The use of cluster sampling results from the random selection of hospitals within each region, and the sampling of all heart surgery patients within each chosen hospital.

Because the patients are sampled in accordance with known percentages by age group and gender, stratified sampling is used. Thus, strata are created within the population depending on these traits, and samples are then drawn proportionately to the size of each stratum.

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Answer: 407.67

Explanation:

(8.11×107)–(4.3×107) =

(8.11)(107)−(4.3)(107) =

         407.67

Answer:

C. by a facotor of 3

Step-by-step explanation:

The approximate value of the figure in the graph is \(\sqrt{3\)

So if you were to draw a figure that is congruent to the one drawn it would be C. by a factor of 3.

The lines would be parallel to demonstrate that there is no interaction between the independent variables.

Here, it has been mentioned that data from a factorial design is plotted on the graph. We already know that the results of factorial experiments with two independent variables, x and y,  can be represented on the graph where one independent variable is represented on the x-axis and the other is represented by using different colored lines. The y-axis is reserved for the dependent variables.

From the question, we know that there has been no interaction between the independent variables. An interaction means that one variable depended on the other. since that is not happening, It means the lines won't touch each other.

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The functions are f(x) = 3 · |x| - 2 and g(x) = - 3 · |x - 6| + 2 and their graphs are shown in the image attached aside.

In this problem we have two functions defined in the statement, the first involves an absolute value function and the second function represents the first function after being reflected around the x-axis and translated horizontally in + 6 units. Now we proceed to derive the expression of the function g(x):

g(x) = - (3 · |x - 6| - 2)

g(x) = - 3 · |x - 6| + 2

Finally, we proceed to graph the two functions, whose picture is attached aside. The function f(x) is the red one and the function g(x) is the blue one.

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The minimum perimeter is 23.24m and dimensions of the fenced area is 15.5m x 3.8m.​

Let us assume the length of the fenced area to be L and breadth of the fenced area to be W. As we know, only three sides are to be fenced,

So, the perimeter  P of the fenced would be,

P = L + 2W

Also, it is given that, area of the fence is 60m²,

So, the are should be,

60m² = LW

60m²/L = W

Now, to minimize the perimeter,

P = L + 2W

P = L + 120/L

Differentiating both sides with respect to "L",

d(p)/dL = 1 - 240/L²

To find the value of "L", putting dp/dL equal to 0,

d(P)/dL = 0

1 - 240/L² = 0

L = √240m

Now, from the first derivative test, we know that, the perimeter will be maximum or minimum if value of L>√240 or L<√240 respectively,

For minimum, L should be,

L = √240m

L = 15.5m

Now we know from area,

area = LW

60 = 15.5 x W

W = 60/15.5

W = 3.8m

Hence, the minimum perimeter will be,

L + 2W = 23.24m

The dimensions are,

L = 15.5m

W = 3.8m

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Answer:

D. 25

Step-by-step explanation:

16 divided by 64% is 25

Answer:

25

Step-by-step explanation:

Hope I helped you.

if Miguel put the car on his credit card  he would spend $1,050

To calculate the total cost of borrowing, we need to consider the principal amount, interest rate, and time period.

Option 1: Auto Loan from the Bank

- Principal amount: $5,000

- APR: 6.5%

- Time period: 2 years

Using the formula for calculating simple interest, we can find the total amount paid:

Total amount = Principal x (1 + (interest rate x time))

Total amount = 5000 x (1 + (0.065 x 2))

Total amount = $5,650

Option 2: Credit Card

- Principal amount: $5,000

- APR: 17%

- Time period: 2 years

Using the same formula, we can find the total amount paid:

Total amount = Principal x (1 + (interest rate x time))

Total amount = 5000 x (1 + (0.17 x 2))

Total amount = $6,700

The difference between the two options is:

$6,700 - $5,650 = $1,050

Therefore, if Miguel put the car on his credit card and paid it off over 2 years, he would spend $1,050 more than if he borrowed the money from his bank.

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Answer:

Direct Variation:

Inverse Variation:

1. The bank balance is inversely proportional to expenditures.

2. The number of family members (which not work) are inversely proportional to amount of saving.

3.The working days required to complete the work are inversely proportional to number of labors.

4. The velocity of body is inversely proportional to time.

5. The acceleration is inversely proportional to time.

6.  The acceleration of body is inversely proportional to mass of body.

7. The number of student fail in the class is inversely proportional to number of qualify teachers and hardworking.

8. The battery power is inversely proportional to time for which it used.

9. The ability of do work hard is inversely proportional to age of man after youngness to onward.

10.  The number of mistake in work is inversely proportional to practice.

Explanation:

Direct Variation: A relationship where one quantity is a constant multiplied by another quantity is called direct variation.

Inverse Variation: Inverse variation is defiend as the relationship between two variables in which the resultant product is a constant. If a is inversely proportional to b, the form of equation is a = k/b, where k is constant. Inverse variation is known as the opposite of direct variation. If there an increas ein one variable, the other variable decreases in proportion so that the resultant product remains unchanged.

Answer:

70

Step-by-step explanation:

Its 70 because you see the degree is 110 so try to subtract 180 degrees by 110 and you get 70 so it's the answer

In addition to premises, warrants, and conclusions, two additional elements of rhetorical argument are evidence and counterarguments.

The two additional elements of rhetorical argument are evidence and counterarguments.

Evidence refers to the supporting material or proof that is presented to back up the premises and warrants in an argument. This can include statistics, facts, expert testimony, or personal experiences.

Counterarguments are the opposing viewpoints or objections that may arise in response to the argument. By addressing and refuting potential counterarguments, the speaker or writer strengthens their own argument and shows that they have considered multiple perspectives on the issue at hand.

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Answer:

15:22

the ratio of men to women in a karate class is 3.3:1. If there are 100 women, how many men are there?Step-by-step explanation:

Answer: well no I dont think so because it’s not a whole. it would be 12/12 I believe.

Step-by-step explanation:

Answer:  $26.70 per hour

Step-by-step explanation:

Regular hours consists of 8 hrs

Overtime hours is 12 - 8 = 4 hours

Regular pay at "x" per hour = 5(8)(x) = 40x

Overtime pay at "2x" per hour = 5(4)(2x) = 40x

                                                  Total pay = 80x

Total Pay = $2136 = 80x

                     \(\dfrac{\$2136}{80}=x\)

                   $26.70 = x

Answer:

x=-27

Step-by-step explanation:

2x+2=-52

2x=-54

x=-27

:))

Answer:

2(-27) + 2 = -52

-54 + 2 = -52

-52 = -52

Step-by-step explanation:

2x + 2 = -52

     -2  = -2

2x       =  -54

/2             /2

x        =     -27

Answer:

-5

Step-by-step explanation:

formula of slope is

\( \frac{y2 - y1}{x2 - x1} \)

y2 is the second y value

y1 is the first y value so you get

\( \frac{6 - 11}{14 - 13} \)

that leaves you with -5 /1 which can be written as -5

-5

The slope is rise over run. In other words, it is the change in y divided by the change in x.

Slope Formula

The formula for slope is \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\). This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.

Final Slope

The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.

Answer:

The area would be 360 because 8 x 6 x 15 = 720 divided by 2 = 360