PLEASE HELP!!!!!!!

Use the expression below. -4b + 8c + 12-8b-2c +6 Part A Simplify the expression. Enter your answers in the boxes. b+ C+
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Step-by-step explanation:

Volume of a sphere is given by the formula

4/3 pi r^3       diameter = 6.3 cm  so radius, r = 3.15 cm

4/3 * pi * (3.15)^3 = 130.9 cm^3

The equation (x + 20)(9x - 10) = 0 has the following two solutions:

Assuming the given algebraic expressions are equated to zero.

(x + 20)(9x - 10) = 0

To find the values of x that satisfy this equation, we use the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.

Setting each factor equal to zero, we have:

X + 20 = 0 or 9x - 10 = 0

Solving the first equation for X:

X = -20

Solving the second equation for x:

9x - 10 = 0

9x = 10

x = 10/9

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860.55 mm

Explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm

The power series for the function `f(x) = 2/(3x^2)`, centered at `c=3` is given by:`f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

Given the function `f(x) = 2/(3x^2)` and `c=3`.

We are to find the power series for the given function centered at c.

Now, we know that the power series representation for `f(x)` is given by:`

f(x) = ∑(n=0 to ∞) cn (x-c)n`Where `cn = fⁿ(c)/n!`

We will first differentiate the function `f(x)` n times and then substitute `x=c`.`f(x) = 2/(3x²)``f'(x) = -4/(9x³)``f''(x) = 24/(81x^4)``f'''(x) = -96/(243x^5)`

Now, we will substitute `x=3` in the above expressions.

`f(3) = 2/(3(3²))

= 2/27``f'(3)

= -4/(9(3³))

= -4/243``f''(3)

= 24/(81(3^4))

= 8/243``f'''(3)

= -96/(243(3^5))

= -32/243`

Hence, the coefficients `cn` are:`

c₀ = f(3)/0!

= 2/27``c₁

= f'(3)/1!

= -4/243``c₂

= f''(3)/2!

= 8/(2*243)

= 1/81``c₃

= f'''(3)/3!

= -32/(3*243)

= -4/243

`Therefore, the power series representation of `f(x)` is given by:`f(x) = ∑(n=0 to ∞) cn (x-c)n``f(x) = c₀ + c₁(x-c) + c₂(x-c)² + c₃(x-c)³ + ...``f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

Hence, the power series for the function `f(x) = 2/(3x^2)`, centered at `c=3` is given by:`f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

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The angle between the lines joining the origin to the points of intersection of the degenerated elipse and the straight line is approximately 136.635°.

We have the graphs of a degenerated ellipse and a line, which intercept each other at points (x₁, y₁) = (-0.293, 1.121) and (x₂, y₂) = (- 1.707, - 3.121). A representation of the situation is shown in the image attached below.

Now we find the angle between the two lines by dot product:

\(\cos \theta = \frac{(- 0.293, 1.121)\,\bullet \,(- 1.707, - 3.121)}{1.159 \,\cdot\, 3.557}\)

\(\cos \theta = - 0.727\)

θ ≈ 136.635°

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The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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The original price of the shoes was $108.85.

What is the original price?

The price that was established by the MSRP (manufacturer's suggested retail price) is known as the original pricing.

The original price was often always less expensive than the current price, though original and current prices occasionally coincide.

The cost price of an item is always used to determine the sales tax, which is then applied to the total of the bill.

Tim purchased a pair of running shoes = $79.20

sales tax =10%

shoes were on sale for 40% off the original price,

Let the original price of the running shoes be x.

Converting a given problem into an equation and solving for variable x.

(X-0.4X)+0.1X=79.20

X-0.4X+0.1X=79.2

7X=792

X=108.85

The original price of the shoes was $108.85.

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The characteristic equation corresponding to the homogeneous equation is \(4r^2 - 1 = 0\). The quadratic equation two distinct roots: \(r_1 = \frac{1}{2}\) and \(r_2 = -\frac{1}{2}\).

To solve the initial-value problem, we will first find the general solution to the homogeneous equation \(4y'' - y = 0\) and then find a particular solution to the non-homogeneous equation \(4y'' - y = xe^{x/2}\). By combining the general solution with the particular solution, we can obtain the solution to the initial-value problem.

1. Homogeneous Equation:

The characteristic equation corresponding to the homogeneous equation is \(4r^2 - 1 = 0\). Solving this quadratic equation, we find two distinct roots: \(r_1 = \frac{1}{2}\) and \(r_2 = -\frac{1}{2}\).

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Answer:

51

Step-by-step explanation:

5 students travelled by car , leaving 158 - 5 = 153 students to travel by bus.

153 students travelled in 3 full buses, therefore

153 ÷ 3 = 51 students in each bus

Step-by-step explanation:

51 Students Traveled in one bus

Answer:

  927 cubic inches

Step-by-step explanation:

The area of the octagonal base is ...

  A = (1/2)Pa

where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...

  A = (1/2)(8·4)(4.83) = 77.28 . . . square inches

The volume of the prism is given by ...

  V = Bh

where B represents the area of the base, and h is the height.

  V = (77.28 in^2)(12 in) = 927.36 in^3

The volume of the prism is about 927 cubic inches.

the answer on edg is 927

Answer:

The sum is $10

Step-by-step explanation:

Since Tony got $5 on Monday and $5 on Tuesday, we can add them together by doing 5+5. We can add 5 and 5 together to get a total of $10 that Tony has earned. This means that it isn't a sum of 0 but a sum of 10.

(hope this helped)

The width of the round cake needs to be approximately 15.63 inches to keep the same volume as the rectangular prism cake.

To keep the same volume when changing the shape of the cake from a rectangular prism to a round cake with a fixed height of 3 inches, we need to find the width of the round cake.

The volume of the rectangular prism cake is given by:

Volume = Length * Width * Height

Substituting the given values:

Volume = 16 inches * 12 inches * 3 inches

The volume of a round cake can be calculated using the formula for the volume of a cylinder:

Volume = π * radius^2 * Height

We want to keep the height at 3 inches, so the equation becomes:

Volume = π * radius^2 * 3 inches

To keep the same volume as the rectangular prism cake, we can equate the two volume expressions:

16 inches * 12 inches * 3 inches = π * radius^2 * 3 inches

Simplifying, we can cancel out the common terms:

16 inches * 12 inches = π * radius^2

Dividing both sides by π:

(16 inches * 12 inches) / π = radius^2

Taking the square root of both sides to solve for the radius:

radius = √[(16 inches * 12 inches) / π]

Now, to obtain the width of the round cake, we can double the radius since the radius represents half the width:

Width of round cake = 2 * radius

Width of round cake = 2 * √[(16 inches * 12 inches) / π]

Width of round cake ≈ 2 * √[(192 inches^2) / π]

Width of round cake ≈ 2 * √(61.211)

Width of round cake ≈ 2 * 7.815

Width of round cake ≈ 15.63 inches (rounded to two decimal places)

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The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

Point Z(3,-17)

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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The probability of flipping the unfair coin given that we observed five tails in a row is approximately 0.9048

Let's define

A: the event of picking the unfair coin

B: the event of getting five tails in a row

We want to find the conditional probability of picking the unfair coin given that we observed five tails in a row, or P(A|B).

Using Bayes' theorem, we have

P(A|B) = P(B|A) × P(A) / P(B)

P(B|A) is the probability of getting five tails in a row given that we are flipping the unfair coin. Since the unfair coin is not fair, we don't know its probability of coming up as tails, but let's assume it has a probability of 0.9 of coming up as tails. Thus, P(B|A) = 0.9^5 = 0.59049.

P(A) is the prior probability of picking the unfair coin, which is 0.5 since we picked one of two coins at random.

P(B) is the total probability of getting five tails in a row, which is the sum of the probabilities of getting five tails in a row with the fair coin and the unfair coin.

The probability of getting five tails in a row with the fair coin is 0.5^5 = 0.03125. The probability of picking the unfair coin and getting five tails in a row is P(B|A) × P(A) = 0.59049 × 0.5 = 0.295245. Thus, P(B) = 0.03125 + 0.295245 = 0.326495.

Now we can calculate P(A|B)

P(A|B) = P(B|A) × P(A) / P(B) = 0.59049 × 0.5 / 0.326495 = 0.9048

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Answer:

X>8

Step-by-step explanation:

Open circle, going towards larger numbers, meaning it is greater than eight but not equal to.

S+6=C

Its not possible because we have no clue as to how old carl is so we can find simone's age

Answer:

equation- y + 6 = x

Step-by-step explanation:

no, because it doesn't give enough information. all we know is that Simone is six years older than Carl.

Given:

Number of people = 6

Cost per person = $52

Let's find the cost per person if the number of people changes to 12.

Given that the number of people is inversely proportional to the cost per person, we have the equation:

Where, k represents the constant of proportionality, y represents the number of people and x represents the cost per person.

Let's find the constant of proportionality k:

The constant of proportionality, k is 312

To find the cost when number of people changes to 12, we have:

Therefore, when the number of people changes to 12, the new cost is $26

ANSWER:

$26

Answer:

\(X - 6 \leq\ 52\)

Step-by-step explanation:

Six subtracted from a number is written as a number (x, or any other variable) - 6. At most means the maximum amount it could be is 52, so a greater than or less than sign wouldn’t do. It would have to be a less than or equal to sign because you are saying AT MOST.  Lastly, there is a 52 at the end to represent what the expression would equal! Hope it helps! (:

Answer:

2)4 3)20 4)15

Step-by-step explanation:

12 - 8  

91 - 77

75 - 60

Answer:

2) 50  3) 18.18...  4) 25

Step-by-step explanation:

12 - 8

8

x 100% = 50%

91 - 77

77

x 100% = 18.1818181818%

75 - 60

60

x 100% = 25%

While dividing 7 tens into 3 groups the greatest number of tens you can put in each group = 2 tens

In this question, we need to divide 7 tens into 3 groups.

We need to find the greatest number of tens you can put in each group.

We know that 7 tens = 70

We need to divide 70 in 3 groups.

70/3 = 23.33

From given choices the greatest number of tens we can put in each group = 2

Therefore, while dividing 7 tens into 3 groups the greatest number of tens you can put in each group = 2 tens

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The shortest possible length of the other side is 15 units, and the longest possible length is 25 units.

Let's denote the shortest possible length of the other side of the triangle as 'x' units. To find the longest possible length, we subtract the lengths of the given side and the shortest side from the perimeter:

Longest possible length = Perimeter - Given side - Shortest side

= 40 - 15 - x

= 25 - x

Since a triangle's perimeter is the sum of its three sides, we can set up an equation:

Given side + Shortest side + Longest side = Perimeter

Substituting the values:

15 + x + (25 - x) = 40

Simplifying:

40 - x + x = 40 - 15

40 = 25 + x

x = 40 - 25

x = 15

Therefore, the shortest possible length of the other side is 15 units, and the longest possible length is 25 units.

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We can arrange the group in 120960 different ways.

Given,

Number of adults = 7

Number of children = 4

We have to find the number of ways they can stand when no two children are allowed to stand together;

Here,

Arrange 7 adults in a row of 7 ; 7

Number of arrangements = 7! = 5040

Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.

Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements

Add the two groupings together =  5040 × 24 = 120960

Therefore,

There is 120960 ways to arrange the standing position of the group.

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Answer:

He can make a maximum of 60 shortcakes

Step-by-step explanation:

With the sugar alone he has enough to make:

500/50=10×12=120 shortcakes

Taking the butter into account he can make a maximum of:

1000/200=5×12=60 shortcakes

Now taking the flour into account he can still make a maximum of 60 shortcakes before running out of supply.

However, with the milk alone, he can make up to

500/10=50×12=600 shortcakes

All we need to do is find the minimum number of shortcakes he can make before running out of supply.

In this case he would make 60 shortcakes

Hope this helps!

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

yeet yeet yeet

I think you are missing some information in the question, how many cakes are  chocolate? Then you can find the percentage. Only knowing there are 40 cakes makes it impossible to calculate the percent chocolate :(

Answer:

Step-by-step explanation:

Answer:

a, b, e,f

Step-by-step explanation:

i dont have one

Answer:

b

Step-by-step explanation:

its a straigt line thats what linear means (line)

Answer:

x=15/16

Step-by-step explanation:

Let's solve your equation step-by-step.

6−34x+13=12x+5

6+−34x+13=12x+5

Multiply all terms by x and cancel:

6x+−34+1x3=12+5x

193x+−34=5x+12(Simplify both sides of the equation)

193x+−34−5x=5x+12−5x(Subtract 5x from both sides)

43x+−34=12

43x+−34+34=12+34(Add 3/4 to both sides)

43x=54

(34)*(43x)=(34)*(54)(Multiply both sides by 3/4)

x=1516

Check answers. (Plug them in to make sure they work.)

x=1516(Works in original equation)