how many solutions does the problem c*r*(a+f+t)=21 have if different letters represent different digits

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

I think its the second and the fourth one

Step-by-step explanation:

Sorry if I am wrong i tried my best

Answer:

Angle 6 = 70

Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.

Answer:

C-All of the inner planets are smaller than outer planets.

Step-by-step explanation:

The statement "all the inner planets are smaller than the outer planets" best describes the size of the inner planets.

Option C is the correct answer.

Inner planets are Earth-like planets.

The inner planets are Mercury, Venus, Earth, and Mars.

We have,

The inner planets (Mercury, Venus, Earth, and Mars) are all relatively small, with diameters ranging from about 4,880 kilometers for Mercury to about 12,742 kilometers for Earth.

In contrast, the outer planets (Jupiter, Saturn, Uranus, and Neptune) are much larger, with diameters ranging from about 49,244 kilometers for Uranus to about 142,984 kilometers for Jupiter.

Therefore,

All the inner planets are smaller than the outer planets.

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Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

0 = 0

1 = 2

2 = 4

3 = 6

20 = 40

The coordinates of the vertices of the image triangle A'B'C' after a rotation 90° counterclockwise about the origin are: A' (10, 5), B' (-4, -8), C'(0, 2)

A rotation simply refers to a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, rotating a point 90° about the origin in a counterclockwise (anticlockwise) would produce a point that has the coordinates (-y, x).

By applying a rotation of 90° counterclockwise to triangle ABC, the coordinates of the vertices of the image triangle A'B'C' include the following:

(x, y)                    →            (-y, x)

Point A = (5, -10)   →  Point A' = (-(-10), 5) = (10, 5)

Point B = (-8, 4)   →    Point B' = (-4, -8)

Point C = (2, 0)   →     Point C' = (0, 2)

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

x is -1  

Step-by-step explanation:

-4 multiplied by x is -4x, then -4 x 3 is -12, which makes the problem -4x + -12  and you need to do the opposite so  add 4, -4x cancels out and then add 4 to -12 which is 8x

Answer:

the answer is the last one

Answer:

io kd ffg ioo HD dd g.j i OP on BBC Dee e homegirl theismann

Answer:

3 \(\frac{2}{3}\) inches long

Step-by-step explanation:

Find how long the paper will be by dividing 11 by 3. This will find how much 1/3 of the 11 inch paper is.

11/3

= 3 \(\frac{2}{3}\)

So, if she cuts the paper, the paper will be 3 \(\frac{2}{3}\) inches long

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:

a. Revenue Function:

Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.

The revenue function can be formulated as:

Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)

In equation form:

Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

b. Constraints:

The constraints for the availability of ingredients can be formulated as follows:

Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280

Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300

Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80

Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250

Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190

Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

c. Solve the system of linear inequalities using E x c e l Solver:

To solve the system of linear inequalities using E x c e l Solver, follow these steps:

1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:

| | A | B |

|-----|-----------|-----------------|

| 1 | Cakes | Selling Price |

| 2 | Cake 1 | $9 |

| 3 | Cake 2 | $12 |

| 4 | Cake 3 | $4 |

| 5 | Cake 4 | $5 |

| 6 | Cake 5 | $8 |

| | | |

| | | Formula |

| 9 | Milk | 280 |

| 10 | Sugar | 300 |

| 11 | Eggs | 80 |

| 12 | Flour | 250 |

| 13 | Cream | 190 |

2. In cell B16, enter the formula for the revenue:

=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11

3. In cell B18, enter the formula for the milk constraint:

=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6

4. In cell B19, enter the formula for the sugar constraint:

=7×B2 + 4×B3 + 5×B4

5. In cell B20, enter the formula for the egg constraint:

=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6

6. In cell B21, enter the formula for the flour constraint:

=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6

7. In cell B22, enter the formula for the cream constraint:

=4×B2 + 5×B4 + B5 + 3×B6

8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:

=B2

9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:

=B3

=B4

=B5

=B6

10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.

11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).

12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).

13. Click on the "Add" button in the "Subject to the Constraints" section.

14. In the Constraint window, select the range B18:B22 for the constraint cells.

15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.

16. Set the Solver options as desired, and click on the "Solve" button.

E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.

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Answer:

a) Either the underlying distribution must be normal, or the sample size has to be at least 30.

Sampling distribution approximately normal, with mean 62 and standard deviation of 2.4333

b) 0.8990 = 89.90%

c) 0.1949 = 19.49%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\(\mu = 62, \sigma = 15\)

​(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample​ mean? Assuming that this condition is​ true, describe the sampling distribution of x overbar.

Either the underlying distribution must be normal, or the sample size has to be at least 30.

In this case, n = 38.

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 62 and standard deviation \(s = \frac{15}{\sqrt{38}} = 2.4333\)

(b) Assuming the normal model can be​ used, determine ​P(x overbar less  than 65.1​). ​

This is the pvalue of Z when X = 65.1. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{65.1 - 62}{2.4333}\)

\(Z = 1.27\)

\(Z = 1.27\) has a pvalue of 0.8980

So the answer is 0.8990 = 89.90%

(c) Assuming the normal model can be​ used, determine ​P(x overbargreater than or equals64.1​).

This is 1 subtracted by the pvalue of Z when X = 64.1. So

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{64.1 - 62}{2.4333}\)

\(Z = 0.86\)

\(Z = 0.86\) has a pvalue of 0.8051

1 - 0.8051 = 0.1949

So the answer is 0.1949 = 19.49%

Mbhalati's statement is valid.

The charge of R180 is less than the total value of his deposit is R2000.

To determine whether Mbhalati's statement is valid, we need to calculate the total value of his deposit and compare it to the stated charge.

Given information:

Value of notes deposited: R1500

Value of coins deposited: R500

Charge for the deposit: R180

To calculate the total value of Mbhalati's deposit, we add the value of the notes and the value of the coins:

Total deposit value = Value of notes + Value of coins

Total deposit value = R1500 + R500

Total deposit value = R2000

Now, let's compare the total deposit value to the stated charge:

Total deposit value = R2000

Stated charge = R180

Mbhalati's statement would be valid if the stated charge (R180) is equal to or less than the total deposit value (R2000).

Let's check:

Is R180 ≤ R2000?

Yes, R180 is less than R2000.

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Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

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

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

\(C_{27,8} = \frac{27!}{8!19!} = 2220075\)

2,220,075 committees can be formed.

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The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.

Descriptive statistics were used in the statement.

Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).

In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.

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Descriptive statistics were used in the statement.

Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.

Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.

Hence, Descriptive statistics were used in the statement.

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The measure of the given polygon's angle is 2340°

Polygons are two-dimensional closed objects in geometrical mathematics where n number of line segments cross each other to generate n number of vertices. A triangle is a polygon with three sides, for instance.

In an n-sided polygon, there are n inner angles.

The total of all interior angle measurements in a polygon is always constant and is denoted by the notation "n" for the number of sides in the polygon.

the formula is ;

Sₙ = ( n - 2 ) 180°

Here in question n is given as 15

Thus Sₙ = ( n - 2 ) 180° becomes

Sₙ = ( 15 - 2) 180

13 × 180

= 2340 °

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Answer:

it is really A 156 i took the test and got an 100%

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

PEMDAS

P- Parantheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

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

First in Pemdas is parantheses , so you add the 8+4 first because Addition is before subtraction. Which is three, next is 3+18. Which is 21.

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Answer:

I'm pretty sure it's 4

Step-by-step explanation:

association property of addition involves well addition and that's what it shown in y+0=y

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

32

Step-by-step explanation:

you can multiply

4 up 8 across so 4 x 8 = 32

Answer:

Area= 32 units

Step-by-step explanation:

A=Bh or Area=Base times height. the base is 8 and the height is 4. 8 times 4 is equal to 32.

Answer:

B.

Step-by-step explanation:

\(x^2 - 16x - 64 = 0\)

\((x-8)^2 = 128\)

\(x = 8 + \sqrt{128}\)

or

\(x=8-\sqrt{128}\)

so x = 19.3

or x = 3.3

Answer:

y intercept is -4

x intercept is 2

Answer:

Probability is 21/36 = 7/12

Step-by-step explanation:

Imagine we have two dice. Let's make one die red and one die green.

Each one of those dice can come up 1, 2, 3, 4, 5, or 6.

But only a certain number of rolls have the dice adding up to less than 8. We will call a result of 'less than 8' our 'desired outcome'

If the red die is 1, the green die can be 1, 2, 3, 4, 5, or 6.    6 results

If the red die is 2, the green die can be 1, 2, 3, 4,  or 5.       5 results

If the red die is 3, the green die can be 1, 2, 3, or 4.            4 results

If the red die is 4, the green die can be 1, 2, or 3.                3 results

If the red die is 5, the green die can be 1 or 2.                     2 results

If the red die is 6, the green die can be 1.                             1  result

                                            Total: 21 ways to get 'desired outcome'

To get the probability of a event, we divide the number of ways to get the desired outcome by the number of all possible outcomes.

So how many ways can the the dice come up?

If red is 1, green can be 1, 2, 3, 4, 5, or 6.   - - >  6 ways

If red is 2, green can be 1, 2, 3, 4, 5, or 6.   - - >  6 ways

If red is 3, green can be 1, 2, 3, 4, 5, or 6.   - - >  6 ways

If red is 4, green can be 1, 2, 3, 4, 5, or 6.   - - >  6 ways

If red is 5, green can be 1, 2, 3, 4, 5, or 6.   - - >  6 ways

If red is 6, green can be 1, 2, 3, 4, 5, or 6.   - - >  6 ways

Total them up.

Or we could just multiply (6 ways for red) x (6 ways for green) = 36 ways

                                           Total: 36 ways to get 'all possible outcomes'

So the probability of the desired outcome is 21/36, which simplifies to 7/12

Answer:

Wouldn't it be 8?

Step-by-step explanation:

You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.

Answer:

8

Step-by-step explanation: you can crack, cook, and eat with 1 egg

so if you cracked 2 cooked 2 and ate 2, it means that you only used 2