11 points Please answer quick.
Divide (x^5 - x^4 + x^3 - x^2 + x -1) by (x-1)
show your calculation
If you don't know don't answer.
If you do it I will report the answer.​

Answer:

1/4

Step-by-step explanation:

Let a₁, a₂, a₃ and a₄ be the four numbers. Since the geometric mean of the first 3 positive numbers is 4, we have that

∛(a₁a₂a₃) = 4. (1)

Also the geometric mean of the four numbers is 2, we have that ⁴√(a₁a₂a₃a₄) = 2   (2).

So, taking the cube of (1), we have

[∛(a₁a₂a₃)]³ = 4³

a₁a₂a₃ = 64  (3)

Also, taking the fourth power of equation (2), we have

[⁴√(a₁a₂a₃a₄)]⁴ = 2⁴  

a₁a₂a₃a₄ = 16  (4)

Dividing (4) by (3), we have

a₁a₂a₃a₄/a₁a₂a₃ = 16/64

a₄ = 1/4

The fourth value is 1/4

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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Answer:

Step-by-step explanation:

$15 is a constant value while $5 change depending by the hours.

We can write this expression to find the total cost:

5r + 15

part b

1) substitute r with 3

5 * 3 + 15

2) solve the expression

15 + 15 = $30

The cone's base area, whose volume is 50 m³ and height is 5 m is 45 m².

The volume of the cone = 1/3πr²h

Volume of the cone = 75 m³

Height of the cone = 5 m

r = radius of the cone

75 = 1/3 × 22/7 × r² × 5

r² = 14.3

The radius of the cone = 3.78

The base area of the cone = πr²

Base area of the cone= 22/7 × (3.78)²

The base area of the cone = 44.9 ≈ 50

The base of the cone is approximately equal to 50 m².

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The question is incomplete the complete question is :

Answer:

Step-by-step explanation:

If a group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8, their initial feet will be -5 and their final feet will be 8.

Change in feet of the groups elevation = final feel - initial feet

Final feet = 8 feet

Change in feet of the groups elevation = 8 -(-5)

Change in feet of the groups elevation = 8+5

Change in feet of the groups elevation = 13

Answer:

±3i

Step-by-step explanation:

Given the value ±√-9, we are to express the value using the imaginary number 'I'

±√-9 = ±√9×-1

= ±√9 × √-1

In complex number, √-1 = i

The expression becomes;

±√9 = ±3 × i

±√9 = ±3i

Hence the value in simplified form is ±3i

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

im not sure but i do know that the letter n would be 2

Step-by-step explanation:

Yes, there are plenty of resources available for people who want to relearn math, computer science/programming, and science.

Here are some recommendations for books and online courses that you can use to get started:

Math:

Computer Science/Programming:

Science:

Therefore, In addition to these resources, there are many online courses and tutorials available on websites like Coursera, edX, and Khan Academy. These resources offer a variety of courses ranging from beginner to advanced levels, so you can choose one that fits your needs and skill level.

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Answer:

28

Step-by-step explanation:

1.you subtract 121-9=112

2.then divide it by 4 which is 28

3 she has 28 friends

the probability of getting one side by rolling the cube is given by

the probability of produce a number greter than 4 (5 or 6)

is 2 vs 4

2 of the 6 sides are greater than 4

4 of the 6 sides are not

then

the probability that the next roll will produce a number greater than 4 is given by

33%

Answer:

I believe your answer would be -5 because in the first part of the question, it tells you that ground level is 0. (by saying that when you go up 10 from ground level, you are at postitive (+)10)

so... if you go 5 down from ground level (0), it the same as 0-5 which is -5. hope this helps! :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The reason it has to be A is because you don't have to even thing about the standard deviation right here because the only answer that has a mean of 131 is answer A.

Hope it helps have a great afternoon:)

Answer:

0.00001693508

Answer:

Step-by-step explanation:

9^2/9^7= 1/9^(7-2) = 1/9^5

Answer:

\(m=7\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, -7)

Point (2, 7)

Step 2: Find slope m

Substitute the points into the slope formula to find rate of change.

I think you posted this on accident

Answer:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

Step-by-step explanation:

If one hundred 98% confidence intervals are constructed for a population parameter, we would expect approximately 98 of the intervals to capture the unknown parameter.

In a 98% confidence interval, there is a 98% probability that the true population parameter lies within the interval. This means that if we were to construct 100 such intervals, we would expect about 98 of them to contain the true population parameter, and the remaining 2 intervals would not capture the unknown parameter. However, it's important to note that the actual number of intervals that capture the parameter may vary due to random sampling variability.

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The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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The given sequence is not a geometric sequence, the quotients between consecutive numbers are different.

Remember that the recursive formula for a geometric sequence is:

f(n) = r*f(n - 1)

Where r is the common ratio.

Here we have the terms:

5, 11, 29, 83

To get the value of r, take the quotient between consecutive terms:

r = 11/5 = 2.2

r = 29/11 = 2.63

r = 83/29 = 2.86

We should get the same value of r for every ofthese quotients, then we can conclude that the given sequence of numbers is not a geometric sequence, is other type of sequence.

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The probability that it is not raining if the flight leaves on time is 0.9.

Let's define the events:

A: It is raining

B: The flight is delayed

We have,

P(A) = 0.19 (probability that it will rain)

P(B) = 0.1 (probability that the flight will be delayed)

P(A ∩ B) = 0.07 (probability that it will rain and the flight will be delayed)

Using the formula for conditional probability, we have:

P(A' | B') = P(A' ∩ B') / P(B')

Since A' and B' are complementary events (if it's not raining, then the flight is leaving on time), we can rewrite the formula as:

P(A' | B') = P(B' | A') x P(A') / P(B')

We know that P(A) + P(A') = 1, so P(A') = 1 - P(A).

Now, let's substitute the given values into the formula:

P(A' | B') = (P(B' | A') x (1 - P(A))) / P(B')

P(B' | A') represents the probability that the flight is leaving on time given that it's not raining.

We know that:

P(B') = 1 - P(B) = 1 - 0.1 = 0.9

we can estimate P(B' | A') as:

P(B' | A') ≈ P(B') = 0.9

Now we can substitute the values into the formula:

P(A' | B') ≈ (0.9 x (1 - 0.19)) / 0.9

P(A' | B') ≈ 0.81 / 0.9

P(A' | B') ≈ 0.9

Therefore, the probability that it is not raining if the flight leaves on time is 0.9.

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If Yolanda bought 1/4 lb. of turkey and 2/4 lb. of ham at store, then ounces of meat Yolanda buy at the store is 12 ounces.

We know that there are 16 ounces in one pound.

So, to convert fractions of a pound to ounces, we multiply the weight in pounds by 16.

Yolanda bought 1/4 lb. of turkey, which is:

⇒ 1/4 × 16 = 4 oz,

And Yolanda bought 2/4 lb. of ham, which is:

⇒ 2/4 × 16  = 8 oz.

So, Yolanda bought a total of ; 4 oz. + 8 oz. = 12 oz.

Therefore, Yolanda bought a total of 12 ounces of meat.

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The value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other known as parallel lines.

We have a perpendicular line shown in the picture.

The measure of the angle (4x - 6) is equal to 90 degree.

4x - 6 = 90

4x = 96

x = 24

Similarly, the measure of the angle (x + 6y) is equal to 90 degree:

x + 6y = 90

Plug x = 24

24 + 6y = 90

y = 11

Thus, the value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.

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The probability that two children selected at random from Mrs. Attaway's first-grade class are girls and one is a boy is 0.120.

To find the probability that two children selected at random from Mrs. Attaway's class are girls and one is a boy, we need to calculate the number of favorable outcomes (selecting two girls and one boy) and divide it by the total number of possible outcomes.

The total number of children in the class is 5 girls + 16 boys = 21 children.

To calculate the probability, we need to determine the number of ways to select two girls from the five available girls and one boy from the 16 available boys. This can be done using combinations.

The number of ways to select two girls from five is given by the combination formula:

C(5, 2) = 5! / (2! * (5 - 2)!)

= 5! / (2! * 3!)

= (5 * 4) / (2 * 1)

= 10

Similarly, the number of ways to select one boy from 16 is given by the combination formula:

C(16, 1) = 16

The total number of favorable outcomes is the product of these two combinations: 10 * 16 = 160.

Now, let's calculate the total number of possible outcomes when selecting three children from the class:

C(21, 3) = 21! / (3! * (21 - 3)!)

= 21! / (3! * 18!)

= (21 * 20 * 19) / (3 * 2 * 1)

= 1330

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = favorable outcomes / total outcomes

= 160 / 1330

≈ 0.120 (rounded to three decimal places)

Therefore, the probability that two children selected at random from Mrs. Attaway's first-grade class are girls and one is a boy is 0.120.

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Answer:

n = 9

Step-by-step explanation:

5(n-3) = 30

Expand the brackets. (Multiply n by 5 then multiply -3 by 5.)

5n-15 = 30

Isolate 5n.

5n = 30+15

Evaluate.

5n = 45

Find n.

n = 45 ÷ 5

n = 9

Answer:

n = 9

Step-by-step explanation:

1) divide both sides by 5 to cancel it out

       (n-3=6)

2) add 3 to each side to cancel out the -3

       (n=9)

You could factor the 5 to get 5n-15=30 but dividing by 5 just makes the number easier

Step-by-step explanation:

b) average velocity : ∆x/∆t = 100/9.8 ≈ 10.204 m/s

c) ∆x = v.∆t = 10.204 × 3 = 30.612 m

d) ∆t = ∆x/v = 80/10.204 = 7.84 s

Answer:

-5

Step-by-step explanation:

I hope this helps!