A kindergarten teacher has five books to distribute to 20 children in her class.

(a)
How many ways are there for her to distribute the books if they are all the same and no child gets more than one?
(b)
How many ways are there for her to distribute the books if they are different and no child gets more than one? If Charlie gets Green Eggs and Ham and Amanda gets The Cat in the Hat, that is a different distribution from one in which Amanda gets Green Eggs and Ham and Charlie gets The Cat in the Hat.
(c)
How many ways are there for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child?

The value of R, given the equation, can be found to be $ 786. 99.

To find the value of R, solve the operations in sequences:

First sequence:

= 0.052 / 4

= 0.013

Second sequence:

= ( 1 + 0. 052 / 4) ²⁴ - 1

= 0.363410670624455519270956581199

Solving for R then gives:

= 22,000 x ( 0.013 / 0.363410670624455519270956581199)

= $786.99

In conclusion, the value of R without rounding intermediate values when rounded to the nearest hundredth is $ 786. 99.

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Answer:im not sure

Step-by-step explanation:

a?

Answer:

Well, in order to dissect this obstreperous equation, you would require this expertly-crafted formula: Goo gle + IQ of over 70 = success.

Step-by-step explanation:

Answer:

-6, 1

Step-by-step explanation:

Possible factors for -6:

1, -6

-1, 6

2, -3

-2, 3

Sums:

1 + -6 = -5  ==> this is it!!

-1 + 6 = 5

2 + -3 = -1

-2 + 3 = 1

The value of n and m are 110 and 20 respectively if the equations are 2n + 3m = 280 and 2n + 5m = 320.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two linear equations are:

2n + 3m = 280

2n + 5m = 320

Using the elimination method:

Because the coefficient for n is the same in both equations

-2m = - 40

m = 20

n = 110

Thus, the value of n and m are 110 and 20 respectively if the equations   are 2n + 3m = 280 and 2n + 5m = 320.

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The investments arranged from the least to the greatest amount of interest are:

Investment of $1600 at 5% interest rate for 8 years.

Investment of $1600 at 7% interest rate for 8 years.

Investment of $1600 at 7% interest rate for 12 years.

Simple interest is the formula that is used to determine the interest that is earned when an amount is investment at an interest rate over a number of years.

Interest earned with simple interest increases linearly over the investment period. This means that the interest earned each year of the investment period is a constant amount.

Simple interest = amount invested x interest rate x year

Simple interest = $1600 x 0.07 x 8 = $896

Simple interest = $1600 x 0.05 x 8 = $640

Simple interest = $1600 x 0.07 x 12 = $1344

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Answer: 24.5

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

If 38 is 20% then half of 38, 19, is 10%. With that you can divide 19 by 10 and get 1.9. If you take 1.9 and multiply it by 100 you get 190

Answer: 121

Step-by-step explanation:

78+43=121

The exact values of the sine and the cosine of the half angle are √(3 / 10) and √(7 / 10), respectively.

Herein we know the exact value of the cosine of an angle set in the first quadrant. Then, the half angle is also in the first quadrant, whose sine and cosine are, respectively:

cos 0.5Ф > 0, sin 0.5Ф > 0

sin 0.5Ф = √[(1 - cos 0.5Ф) / 2]

cos 0.5Ф = √[(1 + cos 0.5Ф) / 2]

First, replace the values of the cosine of the half angle:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

cos 0.5Ф = √[(1 + 2 / 5) / 2]

Second, simplify the resulting expression:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

sin 0.5Ф = √[(3 / 5) / 2]

sin 0.5Ф = √(3 / 10)

cos 0.5Ф = √[(1 + 2 / 5) / 2]

cos 0.5Ф = √[(7 / 5) / 2]

cos 0.5Ф = √(7 / 10)

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The linear equation can be written as 4c + 7a -60 = 0.

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

As per the given problem a function can be defined as,

c = f(a)

Now, in order to write a linear equation from the given table take any two values of the variables as,

a = 0 and c = 15, a = 4 and c = 8.

Then, the linear equation can be written as follows,

(c - 15)/(a - 0) = (15 - 8)/(0 - 4)

=> c - 15 = -7/4a

=> 4c + 7a -60 = 0

Hence, the linear equation that defines the given table is 4c + 7a -60 = 0.

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a) The estimate for the percentage of the bill left as a tip with a bill of $15 is of 17.62%, which is reasonable.

b) The estimate for the percentage of the bill left as a tip with a bill of $50 is a non-reasonable -4.5%.

The line of best fit in this problem is defined as follows:

y = -0.632x + 27.1.

In which the variables are defined as follows:

Hence, for a bill of $15, the estimate is found replacing x by 15, as follows:

y = -0.632(15) + 27.1 = 17.62%.

Which is reasonable, as it is a positive number.

For a bill of $50, the estimate is obtained as follows:

y = -0.632(50) + 27.1 = -4.5%.

Which is not reasonable, as it is a negative number.

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The total shipping cost increase by $1.50 if the weight of an

object increases by 1 pound

A rate of change describes how one quantity changes in relation to another quantity. Mathematically, it is defined as the change in one divided by the change in the other quantity.

rate of change = change in  total shipping cost / change in weight

Using the  information in the table:

rate of change = 11-5 / 8-4 = 6/4 = 1.5

Therefore, the total shipping cost increase by $1.50  if the weight of an

object increases by 1 pound. Option c. is the answer

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Answer: m = 3

Step-by-step explanation:

-3 - 12 = -15
-1 - 4 = -5
[tex]\frac{-15}{-5}[/tex] = 3

Answer:  The correct answer is b=5g/(n^3−t)

Step-by-step explanation:

Solve for b in the following equation

n³b - tb = 5g

First factor out variable b

b(n^3−t)=5g

Divide both sides by n^3-t

b(n^3−t)/n3−t=5g/n^3−t

b=5g/(n^3−t)

Answer:

Step-by-step explanation:

heheh

Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

Hopes this helps please mark brainliest

Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

Answer:

Step-by-step explanation:

67876567

Answer:

Step-by-step explanation:

The expression which represents the function evaluation (f -g)(x) according to the task content is; (f -g)(x) = 2x³ +5x² -8x -4.

Which expression represents (f-g)(x) according to the functions given?

It follows from the task content that the required function evaluation required is; (f -g)(x).

Given;

f(x) = 2x³ +5x² - 6x - 7

g(x)=2x-3

To find;

(f-g)(x).

Since; (f -g)(x) = f(x) - g(x), the resulting expression for (f -g)(x) is;

(f -g)(x) = 2x³ +5x² -6x -7 -2x +3

Collect like terms;

(f -g)(x) = 2x³ +5x² -6x -2x -7 +3

Hence, (f -g)(x) = 2x³ +5x² -8x -4

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The equation of plane is x + 11y + 7z - 30 = 0

An equation is said to be a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for example, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

Let  ( x₁, y₁, z₁ ) ( x₂, y₂, z₂ ) ( x₃, y₃, z₃ ) be the coordinates,

we know that equation of plane is:

[tex]\left[\begin{array}{ccc}x-x1&y-y1&z-z1\\x2-x1&y2-y1&z2-z1\\x3-x1&y3-y1&z3-z1\end{array}\right][/tex] = 0

( -2, 1, 3 )  ( 0, 4, 8 )  ( -1, -1, 0 )

[tex]\left[\begin{array}{ccc}x+2&y-1&z-3\\0+2&4-1&8-3\\-1+2&-1-1&0-3\end{array}\right][/tex] = 0

[tex]\left[\begin{array}{ccc}x+2&y-1&z-3\\2&3&5\\1&-2&-3\end{array}\right][/tex] = 0

On solving this determinant,

(x+2) (-9+10) - (y-1) (-6-5) - (z-3) (-4-3) = 0

(x+2) - (y-1) (-11) - (z-3) (-7) = 0

x + 2 + 11y - 11 + 7z - 21 = 0

x + 11y + 7z - 30 = 0

Therefore, this is the required equation.

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The side length RQ of the triangle QRT that is 'x' will be 4 units.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

In triangle ΔRST, the side RT is given by the sine of angle 60°. Then we have

sin 60° = (2√3) / RT

(√3)/(2) = (2√3) / RT

RT = 2 x 2(√3) / (√3)

RT = 4

In triangle ΔQRT, the side QR is given by the tangent of angle 45°. Then we have

tan 45° = RQ / RT

1 = x / 4

x = 4

The side length RQ of the triangle QRT that is 'x' will be 4 units.

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Answer:

the answer is 18!

Step-by-step explanation:

63-45 = 18

just subtract the two values to get your answer. the difference is 18.

Hope this helps!

The expression - 3/8 > - 1 indicates that the value - 3/8 lies between - 1 and 0 on the number line.

It is located to the left of zero on the number line.

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Given, An expression - 3/8 > - 1.

This indicates that the value - 3/8 lies between - 1 and 0 on the number line.

It is located to the left of zero on the number line.

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Equation of line parallel to y = − 2 x − 3 and passing through the point (3,-3) is y = -2x + 3.

When two lines are called parallel?

Two lines are parallel lines if they do not intersect.

The slopes of the lines are the same.

f(x)= mx + b and g(x)= nx + c are parallel if m = n.

According to the given question:

Given equation of line is y = −2x − 3

If the new line is parallel, then it will have the same slope.

y = -2x + b

Now this line passes through the point (x,y) = (3,-3) so put in the x and y values into the equation above, solve for b

-3 = -2(3) + b

b = 3

Therefore the required equation of line is

y = -2x + 3

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The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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Answer: The answer is about 57.5

Answer:

a.  335°

Step-by-step explanation:

Bearing: The angle (in degrees) measured clockwise from north.

a.  The bearing from O to A

Measure the angle from the positive y-axis, clockwise to point A.

Angles on a straight line sum to 180°, so the angle between the negative x-axis and point A is (180° - 115°).

b.  The bearing from O to B

Measure the angle from the positive y-axis, clockwise to point B.

c.  The bearing from O to C

Measure the angle from the positive y-axis, clockwise to point C.

d.  The bearing from A to O

Measure the angle clockwise from north of point A to point O.

Answer:

n=24.90

Step-by-step explanation: