When 6 pounds of coffee cost $4.68, how much will 3 1/2 pounds cost?

Answer:

45 + 21e   3  (7e  +15)

Step-by-step explanation:

The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be

⇒ 45 + 21e

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4(3e+2) + 9(e+4) + 1

Now,

We can simplify the expression as;

⇒ 4(3e+2) + 9(e+4) + 1

⇒ 12e + 8 + 9e + 36 + 1

⇒ 21e + 45

⇒ 45 + 21e

Thus, The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be;

⇒ 45 + 21e

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Answer:

Step-by-step explanation:

Don't use 0 (or any other number) to replace θ. Use a letter variable such as x.

tan(x) = 7/24

sin(x)/cos(x) = 7/24

sin(x) = 7/√(7²+24²) = 7/√625 = 7/25

The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer:222

Step-by-step explanation:

5 times -3 is -15. -15^2 is 225. -3+225 is 222

Answer:

42

Step-by-step explanation:

a+5a^(2)

(-3)+5(-3)^2

(-3)+45

=42

The result of 1/11 in the base 10 system is given as is 0.09.

To visualize the long division of 1 ÷ 11 in a base ten system:

Set up the long division: 11 outside and 1.00 inside the division bracket.

Place the decimal point in the quotient above the dividend's decimal point.

Bring down the first digit (0) and divide 11 into 10; it goes 0 times.

Subtract the product (0) from 10, leaving 10.

Bring down the next digit (0) and divide 11 into 100; it goes 9 times.

Subtract 99 from 100, leaving a remainder of 1.

The result is 0.09.

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Beginning inventory = 16,000 Purchase = 115,000 Sales = 140,000 Mark up = 25% on cost Undamanged inventory = 2,000

The value of the inventory lost in fire is 2,000

How do you take inventory loss due to fire into account?

The cost of products available for sale is then subtracted from the cost of goods sold. The quantity will reflect how much inventory the fire has actually destroyed. As an illustration, $275,000 minus $80,000 = $195,000, which represents the amount of inventory destroyed in the fire.

Calculate the quantity of inventory destroyed by deducting the cost of sold goods from the cost of goods that are still in stock. In this scenario, the amount of merchandise lost in the fire was $275,000 less $70,000, or $205,000.

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Miles read more than 6 books in the second half of March in order to be added to the top-readers board. This was found by solving the inequality 4 + x ≥ 10.

Miles read 4 books in the first half of March, so he needed to read more than 6 books in the second half of March in order to be added to the top-readers board. This can be represented by the inequality 4 + x ≥ 10, where x is the number of books Miles reads in the second half of March. To solve this inequality, we need to subtract 4 from both sides to isolate the variable x. This gives us the equation x ≥ 6. Therefore, Miles read more than 6 books in the second half of March in order to be added to the top-readers board.

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The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

Answer:

(SEE ATTACHED PICTURE)

Step-by-step explanation:

You put a circle above the number used in the inequality.

The circle is closed if the inequality is greater than or equal to, or less than or equal to. This indicates that the number is included.

The circle is open if the inequality is greater than, or less than. This indicates that the number is not included.

The arrow goes to the left if it is less than, and to the right if it is greater than.

So, for your problem, an open circle goes about the number 4 and points left.

Answer: look it up :)

Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.

Answer: x+9 or n+9

Step-by-step explanation: sum refers to addition you can put x for "a number"  thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

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The sketch of the front elevation and the side elevation of the prism are added as an attachment

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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Answer: A. She substituted incorrectly into the distance formula

She should be subtracting x from x and y from y but she is subtracting y from x.

Based on the calculations, function 2 shows a greater rate of change, because Tom spends $4 each month and Ronin spends $3 each month: option C.

A slope is also referred to as gradient and it's typically used to describe the rate of change between the points of a data set.

Mathematically, the slope (rate of change) can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

For Ronin's money box, we have:

Points (x, y) = (1, 70) (2, 67)

Slope = (67 - 70)/(2 - 1)

Slope = -3.

Since Tom's money box is given by this function y = -4x + 70. Thus, the slope is equal to -4.

In order to determine which slope (rate of change) is greater, we would take the absolute value of the slopes as follows:

Ronin = |-3| = 3.

Tom = |-4| = 4.

Therefore, Tom's function shows a greater rate of change because he spends $4 each month while Ronin spends $3 each month.

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Answer:

3

Step-by-step explanation:

the question requires us to solve for the degree of freedom of this test.

we have this information below to answer this question

number on time = 90 95 85 60

sample size = 100 120 100 10

from this we can see that we have two rows, each row contains four piece of data, which gives us 4 columns

the formula for the degree of freedom:

df = (c-1)(r-1)

c = 4

r = 2

= 4-1 * 2-1

= 3 * 1

= 3

thank you!

Percentile is a measure of a dataset below which a percentage in its frequency distribution falls.

The ages above the 75th percentile are: 57, 59, 60, 62, 64 and 65

The sorted data is: 29  35  39  40  41 42  43 43 44  44 44  45 47 47 48 49 50 50 53  53 53 56 56  56  57 59 60 62 64 65

The 75th percentile is calculated using:

\(\mathbf{P_{75} = \frac{n }{100} \times 75}\)

So, we have:

\(\mathbf{P_{75} = \frac{30 }{100} \times 75}\)

\(\mathbf{P_{75} = 0.30\times 75}\)

\(\mathbf{P_{75} = 22.50th}\)

22.50 is halfway between 22 and 23

So, we have:

\(\mathbf{P_{75} = 22nd + 0.5(23rd - 22nd)}\)

From the dataset; 22nd entry = 56; 23rd entry = 56

So, we have:

\(\mathbf{P_{75} = 56 + 0.5(56- 56)}\)

\(\mathbf{P_{75} = 56}\)

The 75th percentile is 56.

The ages above 56 are: 57, 59, 60, 62, 64 and 65

Hence, the ages above the 75th percentile are: 57, 59, 60, 62, 64 and 65

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Answer: Anything above 2

Step-by-step explanation:

Answer: 3,4,5,6,7,8,9 (Any of these digits work)

Step-by-step explanation:

We want to find a digit that makes the number greater than 3260.2. There are many digits that can fit in there.

3318.7≥3260.2

Here, we plugged in a 3. that makes this sentence true because 3318.7 is greater than or equal to 3260.2. Since 3 works, we know that any digit greater than 3 would fit.

Answer: $2.60

Step-by-step explanation:

$1+$1.60=$2.60

Answer:

57.99 °

Step-by-step explanation:

\(tan( x ) = \frac{16}{10} \\ x = arctan( \frac{16}{10} ) \\ x = 57.99 \: degrees\)

Answer:

3) 57.99°

Step-by-step explanation:

16 is opposite of x° and 10 is adjacent to x°. Therefore, you use tangent because of SOHCAHTOA.

tan(x°)=opposite/adjacent

tan(x°)=16/10

tan⁻¹(tan(x°))=tan⁻¹(16/10)

x°=57.99461679°=58°

So the closest choice is 3) 57.99°

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

60 liters

Step-by-step explanation:

Answer:

C. 60 kilograms

Step-by-step explanation:

The person above me is incorrect because liters is used on liquids

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

71

Step-by-step explanation:

Add 5 to 11 and then keep adding 5 to every number after that until you get your answer

The 14th term of the sequence will be;

⇒ 14th term = 71

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The first two terms of an arithmetic sequence are 6 and 11,

Now,

Since, The first two terms of an arithmetic sequence are 6 and 11,

Hence, The first term = 6

The common difference = 11 - 6 = 5

We know that;

⇒ nth term = a + (n - 1) d

Where, 'a' is the first term and 'd' is common difference.

Substitute the given values, we get;

⇒ nth term = a + (n - 1) d

⇒ 14th term = 6 + (14 - 1) 5

⇒ 14th term = 6 + 65

⇒ 14th term = 71

Thus, The value of 14th term = 71.

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Answer:

24

Step-by-step explanation:

Answer:

3x = 72

x = 24

3(24) = 72

24 boxes of juice need to be bought.

hope this helped yw

Answer:

False -1

Step-by-step explanation:it is both less than 7 and 2 therefore that statement is false

Answer:

false

Step-by-step explanation:

a number less than 7 does not have to be greater than 2; the number could be -2, for example

Therefοre in 1.75 minutes, yοur friend cοuld clap his hands abοut 245 times.

When yοu "multiply" οr "times," yοu add the number tο itself several times. Fοr instance, multiplying 4 by 3 equals declaring that 4 + 4 + 4 = 12. As a result, multiplying the same number mοre than οnce prοduces faster results, such as 3 4 = 12.

We must first determine the number οf claps per secοnd that yοur friend cοuld make:

28 claps / 12 secοnds = 2.33 claps per secοnd

The number οf claps yοur friend cοuld make in 1.75 minutes can thus be calculated using this rate:

1 minute = 60 secοnds, sο 1.75 minutes = 1.75 x 60 = 105 secοnds

If yοur friend claps at a rate οf 2.33 claps every secοnd, in 105 secοnds they can:

2.33 claps per secοnd x 105 secοnds = 244.65 claps

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