Can someone help me with these? I need some help.

Answer:

Southgate per hour total is 36 and glades is 39 per hour

The lcm of the two is 468 and 36x 13 is 468 and 39x12 is 468

Therefore 13hrs at Southgate and 12 hrs at glades

the factors of 28 are : 1, 2, 4, 7, 14, and 28.

the prime factors of 28 are : 2, 2, and 7.

The number of brown notebooks is 40.

What is the ratio?

A ratio displays the multiplicity of two numbers. For example, if there are eight oranges and six lemons in a bowl of fruit, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, and the orange-to-fruit ratio is 8:14.

We have,

24 red notebooks,

∴ 5/3 = x/24.

Cross-multiply, and we now have

120 = 3x.

Divide both sides by 3,

x = 120/3

x = 40

x = 40 brown notebooks.

Hence, the number of brown notebooks is 40.

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Answer:

Diana said that "the sandwich cost $9

Step-by-step explanation:

3x - 5 = 22

3x = 22 + 5

3x = 27

x = 27 / 3

x = 9

The probability that the sample mean of a randomly selected sample of 95 televisions would be less than 118.8 months, given a population mean of 121 months and a variance of 256, can be calculated using the Central Limit Theorem. The calculated probability is 0.1151, rounded to four decimal places.

According to the Central Limit Theorem, the sample mean of a large enough sample size from any population will follow a normal distribution, regardless of the shape of the population distribution. Since the sample size is large (n = 95), we can use the normal distribution to approximate the probability.

The mean of the sample mean is equal to the population mean, which is 121 months. The standard deviation of the sample mean, also known as the standard error, can be calculated by dividing the population standard deviation by the square root of the sample size. In this case, the population variance is given as 256, so the standard deviation is √256 = 16. Therefore, the standard error is 16 / √95 ≈ 1.645.

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The slope of the line is 2 and Jan runs 2 laps for every minute.

The slope of the line is defined as the change in the y-coordinate with respect to the x- coordinate and the formula for slope is given by

Where (x₁, y₁) and (x₂, y₂) are points where the line passes through.

Here we have

The graph shows the number of laps that Jan runs  

From the graph,

The line that represents the situation will pass through (2, 4) and (5, 10)

Using the formula, Slope (m) = (y₂ - y₁) / (x₂ - x)  

Slope of the line = [10 - 4]/[5 - 2 ] = 6/3 = 2

This means that Jan runs 2 laps for every 1 minute  

Therefore,

The slope of the line is 2 and Jan runs 2 laps for every minute.

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Answer:

2×2×7 or 2 squared ×7 can be written either way

The scale factor of dilation is 0.075 and the coordinates of F" are (0.9, 0.375)

A thing must be scaled down or altered during the dilation process. It is a transformation that reduces or enlarges the objects using the supplied scale factor. Pre-image refers to the original figure, whereas image refers to the new figure obtained following dilatation.

Label the triangle D” E” F”.

The label of the triangle is added as an attachment.

From question, we have

DE = 12 units

Then, we have

D"E" = 0.9 units

Using the above, we have the following:

Scale factor = D"E"/DE

Scale factor = 0.9/12

Scale factor = 0.075

Hence, the scale factor of dilation is 0.075.

The coordinates of F"

This is calculated as

F = Scale factor * F

So, we have

F = 0.075 * (12, 5)

F = (0.9, 0.375)

The trigonometry ratios the sine, cosine and tangent are calculated as follow:

sin(D") = EF/DF

cos(D") = DE/DF

tan(D") = EF/DE

So, we have

sin(D") = 0.375/1 = 0.375

cos(D") = 0.9/1 = 0.9

tan(D") = 0.375/0.9 = 0.416

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Answer:

Step-by-step explanation:

First sequence : 10,9.5,9,8.5,...

Let's see the difference between 2 numbers :
10 - 9.5 = 0.5
9.5 - 9 = 0.5
9 - 8.5 - 0.5

So on and so on. So, the common difference between these numbers are 0.5

Next sequence : 200,100,50,25, ...

We see, to get from one number to another, we divide it by 2 / multiply it by 1/2.

200 x 1/2 = 100
100 x 1/2 = 50
50 x 1/2 = 25

So on and so on. So, the common ratio of these numbers are 1/2.

Answer:

Step-by-step explanation:

A common difference is the number you need to get from a chosen number on your left to get to the next number going right.

In the first sequence, you start with 10 on your left.

To get to the next number going right, you need to subtract 0.5 or add - 0.5

In any event, the common difference is -0,5

The second problem is a little  harder. It does not follow the same sort of pattern that the first question does. This time you are multiplying or dividing.

200 * 1/2 = 100

100 * 1/2 = 50

50 *  1/2 = 25

25 *  1/2 = 13.5

So the common ratio is 1/2

Answer: b

Step-by-step explanation:

Answer: B, C, and E

Step-by-step explanation:

The values must add up to 180 for it to be a triangle. X and Y especially need to add up to 120.

Answer:

interest: 1,800

total: 13,800

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To multiply powers of a variable, add the exponents:

\(x^m\cdot x^n = x^{m+n}\)

This rule works for all exponents, positive, negative, or zero.  Also, remember that \(x^0=1\).

Also, remember the definition of negative exponent:  \(x^{-n} = \frac{1}{x^n}\)

To multiply the two monomials, start by multiplying the coefficients, 14 and 4.  That gives 56, so your answer begins with 56.

Now for the powers of x,  \((x^3)(x^{-5}) = x^{3+(-5)} =x^{-2} = \frac{1}{x^2}\)

For the powers of y,  \((y^{-4})(y^4)=y^{4+(-4)} = y^0 = 1\)\((y^{-4})(y^4) = y^{-4+4} = y^0 =1\)

Your answer is

\(56 \cdot \frac{1}{x^2} \cdot 1 =\frac{56}{x^2}\)

The probability that both numbers are prime is 0.16

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given,

Total integers(S) = {1,2,3,4,5,.......,20} , n = 20

Prime integers(E) = {2,3,5,7,11,13,17,19} , n = 8

If two different integers are chosen at random,

Then probability of prime integers P(E) = \(\frac{n(S)}{n(E)} *\frac{n(S)}{n(E)}\)

⇒\(\frac{8}{20} *\frac{8}{20}\)

⇒\(\frac{64}{400}\)

⇒ 0.16

Hence , The probability that both numbers are prime is 0.16

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Brendan needs to purchase 45 bags of rock salt to cover the entire parking lot around his building. Each bag of rock salt covers an area of 1,500 square feet, and the total area of the parking lot is 67,500 square feet. Therefore, by dividing the total area of the parking lot by the area covered by each bag of rock salt, we can determine the number of bags needed.

To calculate the total area of the parking lot, we need to find the length and width of the shaded area in the diagram. From the diagram, we can see that the length of the shaded area is 150 feet, and the width is 450 feet. Therefore, the area of the shaded region can be calculated by multiplying the length and width:

150 ft x 450 ft = 67,500 sq ft

To determine the number of bags of rock salt needed, we divide the total area of the parking lot by the area covered by each bag of rock salt:

67,500 sq ft ÷ 1,500 sq ft per bag = 45 bags

Therefore, Brendan needs to purchase 45 bags of rock salt to cover the entire parking lot around his building

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Answer:

Angle x should be 138 degrees. But I don't see it as one of your options listed in the text of the question.

Is it one of your selections?

Given two points, (−1.2,2.3) and (3.4,7.82), we have to find the value of y when x = 39, y when x = 83 and x when y = 1.7.  when y = 1.7, x = -0.97. The value of y when x = 39 is 47.8.The value of y when x = 83 is 103.94.The value of x when y = 1.7 is -0.97.

For finding the equation of the line using two given points, we can use the formula: y - y1 = (y2 - y1)/(x2 - x1) * (x - x1). Where, (x1, y1) and (x2, y2) are two given points in the form (x, y).We are given the points, (−1.2,2.3) and (3.4,7.82),Let's find the slope, m using the given formula: m = (y2 - y1)/(x2 - x1)m = (7.82 - 2.3)/(3.4 - (-1.2))m = 5.52/4.6m = 1.2. Now, we have the value of slope, m, we can find the equation of the line using point-slope form:  y - y1 = m(x - x1). We will use the first given point, (−1.2,2.3) and the slope, m = 1.2: y - 2.3 = 1.2(x - (-1.2))y - 2.3 = 1.2x + 1.44y = 1.2x + 1.44 + 2.3y = 1.2x + 3.74. This is the equation of the line in slope-intercept form. Now, we can use this to find the value of y for different values of x. When x = 39,y = 1.2x + 3.74y = 1.2(39) + 3.74y = 47.8

Therefore, when x = 39, y = 47.8b. When

x = 83,y = 1.2x + 3.74y = 1.2(83) + 3.74y = 103.94

Therefore, when x = 83, y = 103.94c. When

y = 1.7,1.7 = 1.2x + 3.74x = (1.7 - 3.74)/1.2x = -0.97

Therefore, when y = 1.7, x = -0.97. The value of y when x = 39 is 47.8.The value of y when x = 83 is 103.94.The value of x when y = 1.7 is -0.97.

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The radius of the circle is given as 9

To rewrite the equation of the circle from general form to standard form, we need to complete the square for both x and y terms.

x^2 - 18x + y^2 + 14y + 84 = 0 (Given)

To complete the square for x, we need to add and subtract the square of half the x coefficient (i.e., (18/2)^2 = 81) inside the parentheses:

x^2 - 18x + 81 + y^2 + 14y + 84 - 81 = 0

(x - 9)^2 + (y + 7)^2 - 81 = 0

(x - 9)^2 + (y + 7)^2 = 81

This is the standard form of the equation of a circle, where the center is located at (9, -7) and the radius is √81 = 9.

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After simplification of equation √(x + 7) − 1 = x, the value of x = 2.

To find the value of x:

Check for extraneous solutions:

So,

Therefore, after simplification x = 2.

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The correct question is given below:

Simplify the square root of the quantity x plus 7 end quantity minus 1 equals x.

Question:

The number of students who bring lunch is 45 fewer than the number of students who eat the school lunch. There are more than 485 students who bring lunch

Part A

Write an inequality to find the possible number of students, n, who eat the school lunch

Part B

How many students, n, possibly eat the school lunch

Answer:

Part A

The number of student that possibly eat lunch in school > 530 students

Part B

The number of students, n, that possibly eat lunch at school is 531 or more students

Step-by-step explanation:

Part A

The number of students who bring lunch, B > 485 students

The number of student who eat lunch in school, E = B + 45

∴ E > 485 + 45

The number of student that possibly eat lunch in school, E > 530 students

Part B

The number of students, n, that possibly eat lunch at school, n = 531 or more students.

Answer:

ok the answer is for A 83 as Inequality and n=531 as B hope it helps

Step-by-step explanation:

Double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

The matrix calculator is a useful tool for solving equations involving matrices. To find the values of the variables in the matrix calculator, follow these steps:

1. Enter the coefficients of the variables and the constant terms into the calculator. For example, if you have the equation 2x + 3y = 10, enter the coefficients 2 and 3, and the constant term 10.

2. Select the appropriate operations for solving the equation. The calculator will provide options such as Gaussian elimination, inverse matrix, or Cramer's rule. Choose the method that suits your equation.

3. Perform the selected operation to solve the equation. The calculator will display the values of the variables based on the solution method. For instance, Gaussian elimination will show the values of x and y.

4. Check the solution for consistency. Substitute the obtained values back into the original equation to ensure they satisfy the equation. If they do, you have found the correct values of the variables.Remember to double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

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Answer:

If sinA = sinB, that means that ∠A = ∠B. Because this is a right triangle, ∠A = 45°.

To calculate the monthly payment for a mortgage loan, we can use the formula for the fixed monthly payment on a fixed-rate mortgage. The formula is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Loan amount

r = Monthly interest rate (annual interest rate divided by 12 and expressed as a decimal)

n = Number of monthly payments (number of years multiplied by 12)

Let's calculate the monthly payment for Lee Hays' mortgage loan:

Loan amount (P) = $240,000

Annual interest rate = 5.50%

Monthly interest rate (r) = 5.50% / 12 = 0.055 / 12 = 0.00458

Number of monthly payments (n) = 25 years * 12 = 300

Plugging the values into the formula:

M = 240,000 * (0.00458 * (1 + 0.00458)^300) / ((1 + 0.00458)^300 - 1)

Using a calculator, the monthly payment (M) is approximately $1,442.05.

Therefore, the monthly payment for Lee Hays' $240,000 mortgage loan at 5.50% interest for 25 years is approximately $1,442.05.

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Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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Answer: Terminating

Step-by-step explanation:

I'm pretty sure because 16.5 isn't repeating

Answer:

Terminating decimal

Step-by-step explanation:

33/2=16.5

the decimal point does not go on forever so its a terminating decimal

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The 95% confidence interval for the mean is (1.6048, 1.6352).Hence, option (d) is the correct answer.

As given, a machine that is programmed to package 1.60 pounds of cereal is being tested for its accuracy in a sample of 40 cereal boxes, the sample mean filling weight is calculated as 1.62 pounds. The population standard deviation is known to be 0.06 pounds. We are required to find the 95% confidence interval for the mean. Here are the steps to solve this problem:

The formula to find the confidence interval is as follows;

Lower limit = x - zα/2 (σ/√n)

Upper limit = x + zα/2 (σ/√n)

Where,

x= sample mean

zα/2 = z-value of the level of significance

σ = population standard deviation

n = sample size

We are given;

x = 1.62 pounds

σ = 0.06 pounds

n = 40

We need to find the z-value of the level of significance, which can be found using the z-table or by using the calculator.Using the z-table, we get the z-value at 95% confidence interval as zα/2 = 1.96

Substituting the values, we get

Lower limit = 1.62 - 1.96(0.06/√40)

Upper limit = 1.62 + 1.96(0.06/√40)

Lower limit = 1.6048, Upper limit = 1.6352

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Answer:

B

Step-by-step explanation:

because b x b is equals to b raised to the power of 2

The expression that is equivalent to b x b will be b².

For this question to be solved, you simply have to multiply the values given. In this case, you're multiplying the same value twice and this will simply be raised to the power of 2.

Therefore, based on the question asked, b × b will be:

= b × b

= b²

Therefore, the value of b × b is b².

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