Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf, but does not want to put the Steelie and the Tiger next to one another. In how many ways can she do this?

The adjusted batch masses of materials are as follows:

Cement: 375 kg/m³

Fine aggregate: 658.34 kg/m³

Coarse aggregate: 1168.04 kg/m³

Total mixing water: 180 kg/m³

Calculate the effective moisture content for each aggregate:

Effective moisture content = Moisture content - Absorption

For the coarse aggregate:

Effective moisture content = 3.0% - 1.5%

= 1.5%

For the fine aggregate:

Effective moisture content = 4.5% - 1.3%

= 3.2%

Calculate the saturated surface-dry (SSD) mass for each aggregate:

SSD mass = Batch mass / (1 + (Effective moisture content / 100))

For the coarse aggregate:

SSD mass = 1150 / (1 + (1.5 / 100))

= 1150 / 1.015

= 1133.5 kg/m³

For the fine aggregate:

SSD mass = 650 / (1 + (3.2 / 100))

= 650 / 1.032

= 629.96 kg/m³

Adjust the batch masses of each material by considering the SSD mass:

Adjusted batch mass = SSD mass / (1 - (Moisture content / 100))

For the cement:

Adjusted batch mass = 375 / (1 - (0 / 100))

= 375 kg/m³

For the fine aggregate:

Adjusted batch mass = 629.96 / (1 - (4.5 / 100))

= 629.96 / 0.9555

= 658.34 kg/m³

For the coarse aggregate:

Adjusted batch mass = 1133.5 / (1 - (3.0 / 100))

= 1133.5 / 0.97

= 1168.04 kg/m³

Calculate the adjusted batch mass for the total mixing water:

Since the total mixing water is already provided as 180 kg/m³, there is no adjustment needed.

Therefore, the adjusted batch masses of materials are as follows:

Cement: 375 kg/m³

Fine aggregate: 658.34 kg/m³

Coarse aggregate: 1168.04 kg/m³

Total mixing water: 180 kg/m³

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To have $3,793,695.00 in his retirement account when he retires, Derek would need the rate on the account to be approximately 5.89%.

To calculate the required rate on Derek's retirement account, we can use the formula for the future value (FV) of an annuity:

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV is the desired future value

P is the amount deposited on each birthday

r is the interest rate per period

n is the total number of periods (number of birthdays)

In this case, the desired future value (FV) is $3,793,695.00, the amount deposited on each birthday (P) is $14,455.00, and the total number of periods (n) is the difference between Derek's final and initial birthday, which is 68 - 27 = 41.

We need to solve for the interest rate (r). Rearranging the formula:

\(r = [(FV / P) / [(1 + r)^n - 1]]\)

Substituting the given values, we have:

\(r = [(3,793,695.00 / 14,455.00) / [(1 + r)^{41} - 1]]\)

We can use numerical methods or trial and error to find the value of r that satisfies the equation. By using these methods, the approximate value of r is found to be 0.0589 or 5.89%.

Therefore, Derek would need the rate on his retirement account to be approximately 5.89% for him to have $3,793,695.00 in it when he retires.

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The volume of the tree stump is approximately calculated as: 2327.6 cubic inches.

First, we need to convert the circumference from inches to feet since the height is given in feet:

50 in ÷ 12 in/ft = 4.17 ft (rounded to two decimal places)

Now, we can use the formula for the volume of a cylinder:

V = πr²h

where r is the radius and h is the height. We can find the radius from the circumference:

C = 2πr

50 in = 2πr

r = 25/π in ≈ 7.96 in (rounded to two decimal places)

Now we can calculate the volume in cubic inches:

V = π(7.96 in)²(1.9 ft x 12 in/ft)

V ≈ 2327.6 cubic inches

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Answer:

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

1 yd = 36 in., so 3 yd = 108 in.

The scale is 6 in. to 108 in., or 6/108.

Divide the numerator and denominator by 6.

6/108 = 1/18

Answer: 1/18

The equation to find the markdown rate is 18 = (1-m) × 24

Based on the degree, equations can be classified into three types. Following are the three types of equations in math:

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Sales for the dress department last year were $82,000. The manager for the department plans an increase of 12.5% this year. So, the projected sales volume for this year is $92,250.

To calculate this year's projected sales volume we will add 12.5% of the sales of the last year to the sales of last year. This can be calculated by using the formula:

S = P + (P × r / 100)

Where S is new sales, P is old sales, and r is a rate of increase.

In this problem, the value of P is $82,000 and the rate of increase is 12.5%. Now, let's plug these values into the formula and solve for S:

S = P + (P × r / 100)

S = $82,000 + ($82,000 × 12.5 / 100)

S = $82,000 + $10,250S = $92,250

Hence, the projected sales volume for this year is $92,250.

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The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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Answer:

relatable

Step-by-step explanation:

Answer:

couldnt be me

Step-by-step explanation:

and whatchu mean imagine ITS HERE

The size of B is 4×7. Here's why:Let A be a matrix of size m × n and B be a matrix of size n × p. The product of A and B has a size of m × p (rows of A by columns of B).

In other words, the number of columns in A must be the same as the number of rows in B to take their product.In this case, we have a matrix A of size 4×4 and the product AB has a size of 4×7.

Since the number of columns in A (which is 4) is equal to the number of rows in B, then the size of B must be 4×7. The size of B is 4×7. Here's why: Let A be a matrix of size m × n and B be a matrix of size n × p.

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Answer:

x to the 6 / y to the 4

Step-by-step explanation:

Answer:

x^6/y^4

Step-by-step explanation:

hope this helps have a good rest of your day :)

The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 152

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 152

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x

= (0.06x³)/3 - (0.05x²)/2 + 152 x

TR  = 0.02 x³ - 0.025 x² + 152 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 152 x

P = ( 0.02 x³ - 0.025 x² + 152 x)/x

P = 0.02x² -0.025x + 152

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

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A box plot is best suited to find median rather than histogram.

what is histogram?

A histogram may be a show of applied math data that uses rectangles to point out the frequency of information things in sequent numerical intervals of equal size. within the commonest type of bar chart, the experimental variable is premeditated on the horizontal axis and also the variable is premeditated on the vertical axis.

Main body:

Histogram display can be used to find how many pumpkins had masses below 6.0.

Box plot display can be used to find that the median mass was 8 kilograms

Histogram

Box plot

Hence box plot is best suited.

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Answer:

Step-by-step explanation:

Answer:

Volume Original = 471 in³

Volume New = 343.36 in³

Step-by-step explanation:

Radius Original = 5

Radius New = (5) - 0.1(5) = 5 - 0.5 = 4.5

Height original = 6

Height new = (6) - 0.1(6) = 6 - 0.6 = 5.4

Volume original = 3.14 x 25 x 6 = 3.14 x  150 = 471

Volume New = 3.14 x 20.25 x 5.4 = 343.36

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

R: (-3, -4)

S: (-3, -1)

T: (-1, -4)

The equation of line in slope-intercept form is,

Here, m is slope of line and c is y-intercept.

Simplify the equation to obtain the slope-intercept form.

Answer:

x=24,y=33

hopefully this answer can help you to answer the next question

Answer:

24 hours are 86400 seconds

Step-by-step explanation:

24(hours) *60(minutes per hour)=1440

1440*60(seconds)=86400

Answer:

b 205

Step-by-step explanation:

would be the closest answer.

Hope this hlepsss!

Answer:

So what we need to do is find out how many are left after taking away the 8th graders.

15x - 8x =  7x

so we have part of that

7x

Then 13xy - 8xy

5xy

10y - 8y

2y

this means that for 7th graders its

7x + 5xy + 2y

Step-by-step explanation:

Answer:

7x + 5xy + 2y is the number of 7th graders in the school.

Step-by-step explanation:

We are told that the total number of students is 15x + 13xy + 10y for both, 7th and 8th grade. We are also told that there are 8x + 8xy + 8y 8th graders. Incase you weren't able to figure out by this detail, we need to subtract to find the answer. We need to subtract the total students, 15x + 13xy + 10y, from the 8th graders, 8x + 8xy + 8y.

The steps would look like this:

   15x + 13xy + 10y

— 8x + 8xy + 8y

---------------------------

  7x + 5xy + 2y

15 - 8 = 7

13 - 8 = 5

10 - 8 = 2

the value of largest integer when the sum of 3 consecutive odd integers is 153 is 53.

We know that odd consecutive numbers means the difference between the numbers will be 2

So, let the first odd number be x

Second number will be = x + 2

Third number will be = x + 2 + 2 = x + 4

Now, we are given that, the sum of these odd integers is 153

So, we get the equation as:

x + x + 2 + x + 4 = 153

3 x + 6 = 153

3 x = 153 - 6

3 x = 147

x = 147 / 3

x = 49

Largest integer = x + 4 = 49 + 4 = 53

Therefore, we get that, the value of largest integer when the sum of 3 consecutive odd integers is 153 is 53.

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Answer:

The answers are BELOW ⬇️

Step-by-step explanation:

P.S Thank ❤️ And Rate ⭐️ My Answer If It Has Helped You

The equation that represents the inequality in the graph is y < 2x + 2.

The solution of the system is (-1, -2).

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

To find the system of inequalities, first, we find the system of equations.

So, the first dotted line is passing through two points (-1, 0) and (0, 2),

then the equation of the line,

y - 0 = (2 - 0)/(0 + 1) (x + 1)

y = 2x + 2

From the diagram, the equation that represents the inequality in the graph is y < 2x + 2   ....(1)

Similarly, the equation of the second line is y ≤ 2x ...(2)

Now, the solution of the system is (-1, -2).

Therefore, the solution of the system is (-1, -2).

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Step-by-step explanation:

How was Toto an expensive deal for grandfather? Do you think it

was a lesson for grandfather?

Answer:

Adults =1500 and student= 2500

Step-by-step explanation:

Step one:

GIven data

let Adults be x and student be y in numbers

so

5x+3y=15000------------1

x+y=4000---------------------2

from 1

x=4000-y, put this in 2, we have

5(4000-y)+3y=15000

20000-5y+3y=15000

-2y=15000-20000

-2y= -5000

2y=5000

divide both sides by 2

y= 2500

put y= 2500 in 2

x+2500= 4000

x= 4000-2500

x=1500

1

Explanation:

7/7 - 2/5

Using compatible numbers:

7/7 = 1 as it is closer and equal to 1

so we have: 1 - 2/5

2/5 is approximately 0 as it is closer to 0 than 1

= 1 - 0 = 1

7/7 - 2/5 using compatible number = 1

Answer:

192 is the sender to the question

Answer:

3

Step-by-step explanation:

us the formula

y1 - y2 divided by x1 - x2

=gradient

6 - 3 divided by 5 - 4 = gradient

3 = gradient

hope this helps

please mark it brainliest

Answer:

x=30

Step-by-step explanation:

x+2x+3x=180

6x=180

x=180/6=30

Step-by-step explanation:

Let's call the number of girls in the school "g". We know that there are 1000 boys, so the total number of students is 1000 + g.

The problem states that 48% of the total number of students were successful in the examination. Therefore, we can write an equation:

0.48(1000 + g) = 0.5(1000) + 0.4(g)

Simplifying and solving for g:

480 + 0.48g = 500 + 0.4g

0.08g = 20

g = 250

Therefore, the number of girls in the school is 250.

Answer:

250

Step-by-step explanation:

Hi dear,

Firstly, let the girls be G

1000 + G = Total number of students

50% of boy = 1000 × 0.5 = 500

40% of girls = G × 0.4 = 0.4G

0.48 • (1000 + G) = 480 + 0.48G

480 + 0.48G = 500 + 0.4G

Collect Like Terms

0.48G - 0.4G = 500 - 480

0.08G = 20

G = 20/0.08

G = 250

Therefore, the girls are 250( two hundred and fifty)in the school

Carlos harvests cassavas at a constant rate. He needs 353535 minutes to harvest a total of 151515 cassavas.

The ratio of the change in dependent values or outputs to the change in independent values or inputs is known as the rate of change. The change, which also refers to the function's slope, represents the shift in values between two points on a coordinate plane. The formula for the rate of change is (y2 - y1)/, where y stands for the dependent variable and x for the independent variable (x2 - x1).

Given:

Carlos gives  353535 minutes to harvest a total of 151515 cassavas.

Find:

We have to find the total number of cassavas.

Solution:

Carlos harvests cassava at constant rate is 353535 minutes per 151515 cassavas

= 151515/353535

= 0.429

A formula for the quantity of cassava (C) that Carlos harvests each time (T).

This means that after 353535 minutes, 151515 cassavas have been harvested, after 700000 minutes, 300000 cassavas, and so on.

Hence, the required constant rate is 0.429T.

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