Simplify the expression below.

13y+x-7y

Answer:

512

Step-by-step explanation:

if 8 is the edge using the formula

V=a³=8³

V=512

Answer:

The chicken closed the road.

And then he crawled up the spot

and come over the duck

Answer:

D

Step-by-step explanation:

The required slopes are:

(a) slope = 4

(b) slope = 6/7

(c) slope =  -3

(d) slope = 4

(e) slope = -5/2

We know that,

When a line passing through (x₁, y₁) and (x₂, y₂)

Then  the slope of the line be,

slope (m) = (y₂ - y₁) / (x₂ - x₁)

Using this formula, calculate the slope for each given points

a. (9, 10) and (7, 2)

⇒ slope (m) = (2 - 10) / (7 - 9)

                    = -8/-2 = 4

So, the slope is 4.

b. (-8, -11) and (-1, -5)

⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))

                    = 6/7

So, the slope is 6/7.

c. (5, -6) and (2, 3)

⇒ slope (m) = (3 - (-6)) / (2 - 5)

                    = 9/-3

                    = -3

So, the slope is -3.

d. (6, 3) and (5, -1)

⇒ slope (m) = (-1 - 3) / (5 - 6)

                    = -4/-1

                    = 4

So, the slope is 4.

e. (4, 7) and (6, 2)

⇒ slope (m) = (2 - 7) / (6 - 4)

                    = -5/2

So, the slope is -5/2.

Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.

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Answer: This triangle is not a right triangle

Step-by-step explanation:

In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides.  Thus, 5^2+9^2=13^2.  Simplify this to get 25+81=169, then 106=169.  Because 106 does not equal 169, it is not a right triangle.

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The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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The average height of professional basketball players in the sample is 6 feet, 5 inches, and we have a high level of confidence (95%) that the true population mean height falls within a range of 6 feet, 5 inches ± 0.4 inches.

The given information states that a random sample of 25 professional basketball players has a mean height of 6 feet, 5 inches with a 95% confidence interval of 0.4 inches.

The mean height of 6 feet, 5 inches represents the average height of the basketball players in the sample. This indicates that, on average, the players in the sample have a height of 6 feet, 5 inches.

The confidence interval of 0.4 inches indicates the margin of error associated with the sample mean. In this case, the confidence interval of 0.4 inches means that we are 95% confident that the true population mean height falls within a range of 6 feet, 5 inches ± 0.4 inches. This means that if we were to repeat the sampling process multiple times and calculate the confidence interval each time, 95% of the intervals would capture the true population mean height.

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Answer:

A.) 4991/157216

B.) 2401/1336336

C.) 16399/314432

Step-by-step explanation:

Given the following :

Granny Smith = 23

Honey crisp = 14

Red delicious = 31

Probability = (number of required outcome / number of possible outcomes)

Number of possible outcomes = 23 + 14 + 31 = 68

With replacement :

A.) one of each :

P(granny Smith) × P(Honey crisp) × P(Red delicious)

P(granny Smith) = 23/68

P(Honey crisp) = 14/68 = 7/34

P(red delicious) = 31/68

(23/68 × 7/34 × 31/68) = 4991/157216

B) 4 honey crisp:

P(4 Honey crisp) = P(honey crisp) × P(honey crisp) × P(honey crisp) × P(honey crisp)

7/34 × 7/34 × 7/34 × 7/34 = 2401/1336336

C.) 2 granny Smith and 1 red delicious

P(granny Smith) × P(granny Smith) × P(red delicious)

23/68 × 23/68 × 31/68 = 16399/314432

Answer:

Step-by-step explanation:

The rule for Cos is Cosine = adjacent over hypotenuse which means which ever side is closest to the angle(24) (not hypotenuse). And the Hypotenuse which is the longest side so (25).

So now we have Cos(a) = Cos(\(\frac{24}{25}\)) = 0.57351998607

Answer:

0.875

Step-by-step explanation:

Given the expression:

2.5x

Let's determine the situation which best represents the expression.

Let's start from the first statement:

• A. The total amount of change received to pay for an item that cost $2.50:

The best representation for this is: C = A - 2.50

Where A is the amount paid, C is the amount of change.

• B. The area of a rectangle with side lengths 2.5 and x:

The best representation for this situation is:

2.5x

• C. The total cost of an item that is 2.50 more than x dollars:

T = 2.50 + x

• D. The total square footage of a yard when 2.50 yards is divided into equal parts:

This expression cannot be represented by 2.5x

Therefore, the situation which can be represented by the expression 2.5 is:

The area of a rectangle with side lengths 2.5 and x

ANSWER:

B. The area of a rectangle with side lengths 2.5 and x

Answer:

f(1)=8

Step-by-step explanation:

f(1)= 7(1-1)+8

f(1)= 7(0) +8

f(1)= 0+8

f(1)= 8

Answer:

\(m=\frac{-1}{4}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (7, -5)

Point (-1, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

The zeros of the function y = 12x^2 - 31x + 20 are x = 4/3 and x = 5/4.

To find the zeros of the function, we need to solve the quadratic equation 12x^2 - 31x + 20 = 0.

We can factor the quadratic equation or use the quadratic formula to find the zeros. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our quadratic equation, a = 12, b = -31, and c = 20. Plugging in these values, we have:

x = (-(-31) ± √((-31)^2 - 4 * 12 * 20)) / (2 * 12)

x = (31 ± √(961 - 960)) / 24

x = (31 ± √1) / 24

x = (31 ± 1) / 24

Simplifying further, we get:

x = (31 + 1) / 24 = 32 / 24 = 4/3

x = (31 - 1) / 24 = 30 / 24 = 5/4

Therefore, the zeros of the function y = 12x^2 - 31x + 20 are x = 4/3 and x = 5/4.

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Answer:

12x-8

Step-by-step explanation:

Answer:

12x-8

Step-by-step explanation:

Answer:

9/10 in simpliest form is 9/10

Step-by-step explanation:

In order to simplify a fraction there must be:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 9 and 10.

or

2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 9 is not greater than 10.

9/10 as a decimal: 0.9

9/10 as a percent: 90%

Answer:

69.0

Step-by-step explanation:

So basically you just solve for it and das it. Now make me a sandwich

The ferryman should transport the goat first, then return alone to bring the wolf, leaving the goat on the right bank. Finally, he should transport the cabbage and leave it with the wolf.

In order to solve this puzzle, the ferryman must make a series of careful moves to ensure the safety of the wolf, goat, and cabbage. The first step is to transport the goat to the right bank, leaving it there. The ferryman then returns to the left bank alone.

He takes the wolf across the river, but before leaving it on the right bank, he brings the goat back to the left bank. Now, the goat and cabbage are on the same side, while the wolf remains on the right bank.

The ferryman transports the cabbage to the right bank, leaving it there, and then returns alone to the left bank. Finally, he takes the goat across the river one last time, completing the puzzle. This sequence of moves ensures that the wolf and goat are never left alone together, nor are the goat and cabbage.

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Answer:

Step-by-step explanation:

Average of x-coordinates = (5+3)/2 = 4

Average of y-coordinates = (2+0)/2 = 1

Midpoint (4,1)

An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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Answer:

4 avocados

Step-by-step explanation:

$3.74/$0.89 = 4.2, but you can't have 4.2 avocados so you round down to 4

Answer:

Non-proportional

Answer:

$13.85

Step-by-step explanation:

If the textbook decreases by 11% per year, this means it will be 89% of the previous year's value since 100% - 11% = 89%

89% in decimal form = 89/100 = 0.89

Therefore, the exponential function is:

\(y = 63 \cdot 0.89^x\), where \(x\) is the number of years

So when \(x=13\),  

\(y = 63 \cdot 0.89^{13}=13.84875..=13.85\)

The greatest actual depth of the water is approximately 590 feet, given that the depth finder reading is 620 feet and the difference between the actual depth and the reading must be within 5% of the actual depth.

Let d be the actual depth of the water, and x be the depth finder reading. According to the problem, the difference between the actual depth and the depth finder reading must be less than or equal to 5% of the actual depth. This can be expressed as:

|d - x| ≤ 0.05d

Simplifying this inequality, we get:

-0.05d ≤ d - x ≤ 0.05d

Adding x to both sides of the inequality, we get:

x - 0.05d ≤ d ≤ x + 0.05d

We are given that x = 620 feet, so we can substitute this value into the inequality:

620 - 0.05d ≤ d ≤ 620 + 0.05d

Simplifying this inequality, we get:

0.95d ≤ 620 ≤ 1.05d

Dividing both sides of the inequality by 1.05, we get:

0.90476d ≤ 590.476 ≤ d

Therefore, the greatest number of feet of the actual depth of the water is approximately 590 feet.

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Answer:

1. 8

2. 12

3. 9

I hope that helped! :)

Answer:

aaaaaaaaaaaaaaaaa

Step-by-step explanation: