128 x 7 = 896 + 3 = 899

Answer:

-1/2 !

Step-by-step explanation:

This one, you can tell in negative because the line's direction goes down! Other than that, you can use RISE/RUN to figure out the slope, from any solid point on the line! Since you go up one and to the left two, the slope is -1/2!

I hope this helps, and I'm here if you need me! :)

Given:

Answer:

12π

Step-by-step explanation:

The formula for arc length is given as:

\( s = \frac{\theta}{360\degree} \times 2\pi r\)

Plug r = 24 and θ=π/2 in the above formula, we fi d:

\( s = \frac{\frac{\pi}{2}}{360\degree} \times 2\pi \times 24\\\\

s = \frac{\frac{\pi}{2}}{2 \pi} \times 48\pi\\\\

s = \frac{\pi}{2\times 2 \pi} \times 48\pi \\\\

s = \frac{\pi}{4\pi} \times 48\pi \\\\

\huge \purple {\boxed{s = 12\pi}} \\

\)

Step-by-step explanation:

ghjkkknn. bjkkmn. bhcddfkkkk answer in image

Answer:

Step-by-step explanation:

5^-4 remember that a^-b=1/a^b

5^-4=1/5^4=1/625

The point on the outside of the yo-yo will travel approximately 22 inches in one minute. The estimated value is accurate. In five minutes, a point on the outside of the yo-yo will travel approximately 110 inches.

The distance traveled by a point on the outside of the yo-yo can be calculated using the formula: circumference = π * diameter. Given that the diameter of the yo-yo is 3.50 inches, we can calculate the circumference as follows:

Circumference = π * 3.50 inches

= 3.14 * 3.50 inches

≈ 10.99 inches (rounded to two decimal places)

Since the yo-yo completes 60 revolutions per minute, the point on the outside of the yo-yo will travel the circumference distance for each revolution. Therefore, the distance traveled in one minute can be calculated by multiplying the circumference by the number of revolutions per minute:

Distance in one minute = 10.99 inches/rev * 60 rev/min

≈ 659.4 inches (rounded to one decimal place)

Thus, the point on the outside of the yo-yo will travel approximately 659.4 inches in one minute. Since we were asked to estimate the distance, our estimate of 22 inches is fairly close to the actual value.

In five minutes, the point on the outside of the yo-yo will travel five times the distance traveled in one minute:

Distance in five minutes = Distance in one minute * 5

≈ 659.4 inches * 5

≈ 3297 inches (rounded to one decimal place)

Therefore, a point on the outside of the yo-yo will travel approximately 3297 inches in five minutes.

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Answer:

900 calories

Step-by-step explanation:

First you have to find the unit rate, how many calories are there in ONE cracker? To find that you have to divide 60 ÷ 12 = 5 and to check with the other one, 75 ÷ 15 = 5

So, one cracker is 5 calories. Now, how many calories are in 180 crackers? You multiply, 180 x 5 = 900

That means there are 900 calories in 180 crackers.

Hope that helps and have a great day!

Answer:

900

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 11.74\ in.\²}\)

Step-by-step explanation:

Area of Rectangle:

Length = 11.8 in.

Width = 3.6 in.

Area = Length * Width

Area = 11.8 * 3.6

Area = 42.48 in.²

Area of 3 circles:

Diameter = 3.6 in.

Radius = D/2 = 3.6/2 = 1.8 in.

\(\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2\)

Area of 3 circles = 3(10.18) = 30.5 in.²

Area of the figure when the 3 circles are cut:

= Area of the rectangle - Area of 3 circles

= 42.28 - 30.5

= 11.74 in.²

\(\rule[225]{225}{2}\)

Hope this helped!

Your question is incomplete but it could be this,

You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at Computers & More, Inc. pays $12 per hour. You need to earn at least $450 each week to pay your bills. Your friend solves the system of inequalities x + y < 60 and 7x + 12y > 450 and tells you that a possible solution is (-3, 50). Is this a possible solution, why or why not?

No, (-3, 50) is not a possible solution to the system of inequalities x + y < 60 and 7x + 12y > 450. The first inequality, x + y < 60, represents the constraint that the total number of hours you work at both jobs must be less than 60. The second inequality, 7x + 12y > 450, represents the constraint that the total amount of money you earn must be at least $450.

The solution (-3, 50) does not satisfy either of these constraints. The value of y, 50, represents the number of hours you work at the sales job, and is greater than the maximum value allowed by the first inequality. Additionally, the value of x, -3, represents the number of hours you work dog walking, which is negative. This is not possible, as you cannot work negative hours. Therefore, (-3, 50) is not a valid solution to the system of inequalities.

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The correct interpretation of the psychologist's statement, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero," would be b. good researchers are just as likely to be good teachers as they are bad teachers.

This interpretation suggests that there is no significant relationship between a faculty member's research productivity and their teaching rating. It means that being a good researcher does not necessarily imply being a good teacher, and vice versa.

The psychologist's statement indicates that the two factors, research productivity and teaching ability, are not strongly correlated with each other.

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Work Shown:

f(x) = (x+2)/x

f(-3) = (-3+2)/(-3) .... replace every x with -3

f(-3) = -1/(-3)

f(-3) = 1/3

The linear equation that describe the relationship between the book collection by Cameron, c and Kenji, c each month is represented as c = k - 11.

Linear equations are defined as the equations of degree one. It is represents equation for the straight line. The standard form of linear equation is written as, ax + by + c = 0, where a ≠ 0 and b ≠ 0. We have specify that Cameron collects and his friend Kenji start collecting the old books. The above table figure which contains data of books collected by both in different months. We have to determine the equation many books Cameron will have (c) when Kenji has k books. Let c and k denotes the books collected by Cameron and Kenji respectively. We see there is always increase in old book collection by one in case of both of them (Cameron and Kenji) each month. So, there exits a linear equation. Also, from the table, the Kenji's book collection is always 11 units less from Cameron's book collection. So, the required equation is written by c = k - 11 for each month. Hence, the required equation is equal to c = k - 11.

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Complete question:

The above figure complete the question.

Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: They both want an equation they can use to find how many books Cameron will have (c) when Kenji has k books. Complete their equation.

Answer:

c=k+11

Step-by-step explanation:

The optimal number of square feet of space to be added is approximately 101 square feet.

We have,

To determine the optimal number of square feet of space to maximize the restaurant's profit, we need to analyze the relationship between the additional square footage, the number of new customers, and the resulting profit.

Let's start by defining some variables:

Let "x" represent the number of additional square feet of space to be added beyond the initial 100 square feet.

Let "C(x)" represent the cost in dollars to add x square feet of space. In this case, C(x) = $100 * x.

Let "N(x)" represent the number of new customers attracted per month when x square feet of space is added.

Let "P(x)" represent the profit generated per month when x square feet of space is added. In this case, P(x) = $50 * N(x).

Given the information provided, we know that each additional square foot of space attracts 2 new customers per month.

So, N(x) = 2x.

However, the number of new customers per month is expected to decrease by 1% for every 10 square feet of additional space beyond the initial 100 square feet.

To incorporate this, we can modify our equation for N(x) as follows:

N(x) = 2x * (1 - 0.01 * (x - 100) / 10)

Now, we can express the profit function P(x) in terms of x:

P(x) = $50 * N(x)

= $50 * [2x * (1 - 0.01 * (x - 100) / 10)]

= $100x * (1 - 0.01 * (x - 100) / 10)

To find the optimal number of square feet of space that maximizes profit, we need to find the value of x that maximizes P(x).

We can do this by taking the derivative of P(x) with respect to x, setting it equal to zero, and solving for x.

dP(x)/dx = $100 * (1 - 0.01 * (x - 100) / 10) + $100x * (-0.01 / 10)

= $100 - $1 * (x - 100) + $100x * (-0.01 / 10)

= $100 - $1x + $100 * (-0.01 / 10) - $1x

= $100 - $2x - $0.01x + $10x

= $100 + $7x - $0.01x

Setting dP(x)/dx equal to zero:

$100 + $7x - $0.01x = 0

$7x - $0.01x = -$100

0.99x = $100

x ≈ $100 / 0.99

x ≈ 101.01

Since we're dealing with square footage, we can round the result to the nearest whole number.

Therefore,

The optimal number of square feet of space to be added is approximately 101 square feet.

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The complete question:

The manager of a restaurant is considering expanding the seating area. She wants to determine how many additional square feet of space should be added to maximize the restaurant's profit. The cost to add new space is $100 per square foot, and the profit generated per square foot is estimated to be $50 per month. The manager expects that each additional square foot of space will attract 2 new customers per month. However, the number of new customers per month is expected to decrease by 1% for every 10 square feet of additional space beyond the initial 100 square feet.

What is the optimal number of square feet of space that should be added to maximize the restaurant's profit?

When procedures are mandated by third party payers, the modifier -32 (mandated services) is used. This modifier is used to indicate that a service or procedure is mandated by a third party payer, such as Medicare or Medicaid.

It is used to ensure that the service or procedure is reimbursed appropriately and to avoid denials. The use of the -32 modifier is important to accurately reflect the requirements of the payer and to avoid any potential billing or coding errors. It is important to check with the specific payer to determine if the use of this modifier is required for a particular service or procedure.

When procedures are "mandated" by third-party payers, you would use the modifier -32. This modifier indicates that a service or procedure is being performed due to specific requirements from a third-party payer. It helps to provide the necessary information for reimbursement and ensures that the claim is processed correctly by the payer. Remember to attach the modifier -32 to the appropriate procedure code on the claim form when submitting it to the third-party payer. This will help avoid any potential delays or denials in payment due to insufficient documentation.

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By using the distributive property, you have:

Hence, the simplified expression is equal to 80

Answer:4.62x10^13

Step-by-step explanation:

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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The test statistic for the sample is 2.104, and the p-value is less than 0.01. Based on these results, we reject the null hypothesis and conclude that there is evidence to support the claim that the proportion is greater than 0.27.

To calculate the test statistic, we first need to compute the sample proportion. In this case, the sample size is n = 253, and there are 91 successful observations. Therefore, the sample proportion is 91/253 = 0.359.

Next, we use the formula for the test statistic when using the normal approximation to the binomial distribution:

test statistic = (sample proportion - hypothesized proportion) / standard error

Since we are not using the continuity correction, the standard error can be calculated as the square root of (hypothesized proportion * (1 - hypothesized proportion) / n). Plugging in the values, we get:

standard error = √(0.27 * (1 - 0.27) / 253) = 0.026

Now we can calculate the test statistic:

test statistic = (0.359 - 0.27) / 0.026 = 2.104

To find the p-value, we look up the test statistic in the standard normal distribution table (or use statistical software). The p-value corresponds to the probability of obtaining a test statistic as extreme or more extreme than the observed value under the null hypothesis.

In this case, the p-value is less than 0.01, which means the probability of observing a test statistic as extreme as 2.104, or even more extreme, is less than 0.01.

Since the p-value is less than the significance level of 0.01, we reject the null hypothesis. Therefore, we have enough evidence to support the claim that the proportion is greater than 0.27.

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Answer:

between 128 and 144 ounces

Step-by-step explanation:

Recall that 1 pound equals 16 ounces.

8 pounds is 128 oz; 9 pounds is `144 oz.

Therefore, a gallon of milk weighs between 128 and 144 ounces.

Answer:

Step-by-step explanation:

Distribute:

=(62)(9.22)+(36(2d+8)(2d−8))(9.22)+(−6p)(9.22)+(92)(9.22)+(36)(9.22)+−36

=571.64+1327.68d2+−21242.88+−55.32p+848.24+331.92+−36

Combine Like Terms:

=571.64+1327.68d2+−21242.88+−55.32p+848.24+331.92+−36

=(1327.68d2)+(−55.32p)+(571.64+−21242.88+848.24+331.92+−36)

=1327.68d2+−55.32p+−19527.08

this is what I got I'm sorry

Answer:

Step-by-step explanation:

24 birds per year for 4 years for the past 16 years would be 24 x 4 x 16 = 1,536

At least 1,536 birds

The magnitude of the vector V = -9i + 17j is about 19.24, and the direction angle is about -62.9°.

We can apply the following formulas to determine a vector's magnitude and direction angle:

Magnitude of vector V: |V| = √(\(Vx^2 + Vy^2)\)

Direction angle of vector V: θ =\(tan^(-1)(Vy/Vx)\)

Let's apply these formulas to the given vectors:

V = 13i - 13j

Magnitude of V:

|V| = √\(((13)^2 + (-13)^2)\)

= √(169 + 169)

= √(338)

≈ 18.38

Direction angle of V:

θ = \(tan^(-1)(-13/13)\)

\(= tan^(-1)(-1)\)

≈ -45°

In light of this, the magnitude and direction angle of the vector V = 13i - 13j are respectively 18.38 and -45°.

V = -9i + 17j

V's magnitude:

|V| = √\(((-9)^2 + 17^2)\)

= √(81 + 289)

= √(370)

≈ 19.24

Direction angle of V:

θ =\(tan^(-1)(17/-9)\)

≈ -62.9°

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B) Yes: A WZX-A YZX because ZWZXZYZX and WZ YZ:1a

The statement is incorrect. It should be:- B) Yes: A WZX ~ A YZX because corresponding angles ZWZX and ZYZX are congruent and corresponding sides WZ and YZ are proportional, with a scale factor of 1.

A scale factor is a numerical representation of the size disparity between two comparable figures. When two figures have the same shape but different sizes, they are said to be comparable. To put it another way, one figure is an expansion or contraction of the other.

The ratio of the lengths of the corresponding sides in the two figures is the scale factor. For instance, if the scale factor is 2, one figure will be twice as large as the other, and if it is 1/2, one figure will be half as large as the other. The comparable sides in one figure are typically k times longer than the corresponding sides in another if the scale factor is k.

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Answer:

2,041 square centimeters

Step-by-step explanation:

surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)

where,

cylinder  base radius (r) = 10  cm

height of cylinder (h) = 16 cm

total height = 28 cm

cone height (c) = total height - height of cylinder = 28 - 16 = 12cm

π = 3.14

surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)

surface area = 1004.8 + (31.4 * 25.6) + 314

surface area = 2122.64 cm²

therefore the approximate surface area given is 2,041 square centimeters

In functions, value of x = 45 and y = 45

What is function in math?

6)  x = 15

 y = 49

3x = 3 * 15 = 45

y - 4 = 49 - 4 = 45

7)  3x + 23 = 4x

    4x - 3x = 23

     x = 23

    y =  4 * 23 =   92°

8) y + 12 = 5x °

  3x + 50  =

According to the question

     y + 12 = 3x  + 50

      5x   = 3x + 50

      2x = 50

        x = 25

y + 12 = 5x °

y = 5 * 25 - 12

y = 125 - 12 =   113

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In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Answer: You can multiply the top equation by -1 to eliminate the x variable.

And the solution is (2,4/3)  in case you need it.

Step-by-step explanation:

2x + 3y = 8

2x + 6y = 12

If you multiply the upper equation or down equation by one, you will be able to eliminate the x variable.

-1( 2x + 3y) = -1(8)     New equation:   -2x -3y  = -8.

Add the new equation you got  by multiplying the top equation by -1 to the bottom equation.

Add them:     -2x -3y = -8

                      2x + 6y = 12  

                               3y = 4  

                              y = 4/3

You can now input the value for y into the one of the equations and solve for x.

-2x - 3(4/3) = -8

-2x -4 = -8  

     +4     +4

-2x = -4

x = 2