Please help me with this math problem

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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Answer:

iii. (l + m - n)(l - m + n)

vi. (5a -b) ( 5b - a)

Step-by-step explanation:

iii. l² - (m - n)²

= (l + m - n)(l - m + n)

vi. 4(a+b)² - 9(a-b)²

= (2(a+b))² - (3(a-b))²

= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))

= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)

= (5a -b) ( 5b - a)

Q. 1) l²- (m - n)²

=(l - m + n)(l + m - n)

Q.2) 4(a+b)²- 9(a-b)²

= [(2(a+b))²- (3(a-b))²]

=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]

=[2a+2b+3a-3b][2a+2b-3a+3b]

=[5a-b][5b-a] ]

Answer:

D) 4/286

Step-by-step explanation:

Let's organize the data in a table:

Number of coins Value of Coin

6 2$

4 5$

3 1$

Total: 13 coins

The probability one randomly selected coin is a 5$ dolar coin is:

After this, there will be 12 remaining coins (and three 5$ coins).

So, the probability that the second coin is a $5 coin:

After this, there will be 11 remaining coins (and two 5$ coins).

So, the probability that the third coin is a $5 coin:

So, the probability that the three coins are 5$ coins is the product of the three coins.

The coordinate of point B is (√3, 1 ).

The coordinate of point C is (3√3/2,  3/2).

The coordinate of points of B and C is calculated by applying the following formula as follows;

The given coordinate of point A;

A = ( √3/2, 1/2)

Fromm the given coordinate of point A, we can see that;

The coordinate of point B is calculated as;

point B; x-axis = (√3/2 x 2) = √3

point B; y axis = 1

B = (√3, 1 )

The coordinate of point C is calculated as;

point C; x-axis = (√3/2 x 3) = 3√3/2

point C; y axis = 3/2

C = (3√3/2,  3/2)

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The vector u+v can be represented as < √85, -41.19° >, which is obtained by adding vector u marked on the y-axis from 0 to 6 and vector v marked on the x-axis from 0 to -7 on a coordinate plane.

To add vectors on the coordinate plane. The vector u is marked on the y-axis from 0 to 6, and the vector v is marked on the x-axis from 0 to -7.

To add them, we start at the tail of u and move horizontally to the left by 7 units (since v has a negative x-component) and then vertically up by 6 units (since u has a positive y-component) to reach the head of the resulting vector. This gives us the vector u+v.

So, the vector u+v can be represented as

Magnitude √(6^2 + 7^2) = √85

Direction atan(6/(-7)) = -41.19 degrees (measured counterclockwise from the positive x-axis)

Notation < √85, -41.19° >

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Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

Given:

Margin of error = 0.04

Confidence level = 95%

Let's answer the following questions:

• (A). Assume that nothing is known about the percentage to be estimated.

Since we are to assume that nothing about the percentage is know, we have:

p = q = 0.5

E = 0.04

Given a 95% confidence interval, we have:

Significance level = 1 - 0.95 = 0.05

Using the z-table, for a two tailed test, we have:

Hence, the sample size will be:

Therefore, the required sample size is 600

• (b,). Here, we have the following:

p = 60% = 0.60

q = 1 - p = 1 - 0.60 = 0.40

95% confidence interval, z = 1.96

E = 0.04

To solve for n, we have:

Here, the sample size is 576

(C).

No, the added knowledge in part B does not have much of an effect on the sample size.

It only slightly reduces the sample size.

ANSWER:

• (A). 600

• (B). 576

• (C). No, it only slightly reduces the sample size.

Using the interpretation of a confidence interval, it is found that the correct option is:

x% confidence interval:

Hence, the correct option is:

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The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Step-by-step explanation:

i think you have to do 4 4 times im not sure sorry hopes it help

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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9514 1404 393

Answer:

  9.22

Step-by-step explanation:

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the given coordinates, the distance between them is ...

  d = √((8-(-1))^2 +(0 -(-2))^2) = √(9^2 +2^2) = √85 ≈ 9.22

The length of AB is about 9.22 units.

Answer:

job b

Step-by-step explanation:

Answer:

speed I'm pretty sure sorry if its wrong

Answer:

Force

Step-by-step explanation:

Newton's second law of motion is F = ma, or force is equal to mass times acceleration.

Answer:

1491.94

Step-by-step explanation:

7.1/100 = x/1605.96

=114.02

1605.96-114.02=1491.94

How to convert 18.8 hm (hectometers) to meters using the diagram. So, 18.8 hm is equal to 1,880 m after converting using the diagram.

Here is how to convert 18.8 hm to m using the diagram:

1. Start with the given measurement, which is 18.8 hm.

2. Locate "hecto" on the diagram and see that it is 2 units away from "m" (meter).

3. Since you want to convert from hm to m, you need to move 2 units to the left on the diagram.

4. Moving 2 units to the left on the diagram brings you to the meter (m) unit.

5. Each time you move one unit to the left on the diagram, you divide the original measurement by 10. Since you moved 2 units to the left, you need to divide 18.8 by 100 (10 raised to the second power).6. Therefore, 18.8 hm is equal to 1,880 m after converting using the diagram.

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Answer:

what's the question in this question

Answer:

Not enough information.

Step-by-step explanation:

What kind of table do you want.

Answer:

I had the same question, it would be -15 because in the video on the assignment it says the answers are the opposite.

Step-by-step explanation:

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:you just have to mutlkplaye 5 and 12 like what’s nine plus ten 21

Step-by-step explanation:

∠1 + ∠2 = 180° (supplementary / linear pair)

_______

∠1 ≅ ∠2

So, both ∠1 & ∠2 are equal to each other. Take them as x.

_______

∠1 + ∠2 = 180°

x + x = 180

2x = 180

x = 180/2

x = 90°

So, ∠1 and ∠2 = x = 90°

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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The standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

The standard deviation of the scores of all the students in the class is calculated using the formula

σ = √[(Σ(x - μ)2) / N]

where μ is the mean of the scores and N is the total number of students in the class.

In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.

Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:

σ = √[(Σ(x - 80)2) / 50]

In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.

For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.

Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

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Using the permutation formula, it is found that the probability that the CDs end up in alphabetical order is:

\(p = \frac{1}{8,204,716,800}\)

For this problem, the order in which the CDs are chosen is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

8 CDs are chosen from a set of 21, hence the number of ways they can be chosen is:

\(P_{(21,8)} = \frac{21!}{13!} = 8204716800\)

Only one arrangement is in alphabetical order, hence the probability is:

\(p = \frac{1}{8,204,716,800}\)

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Answer:

x=w/1+yz

Step-by-step explanation:

Hope this helped!

Answer:

45.72

Step-by-step explanation:

Since 1 inch is 2.54, you multiply 2.54 by 18 to find 18 inches in centimeters.