what is the slope of the line that contains the points in the table ?​

Using the permutation formula, it is found that Emily can make 120 arrangements with 1 plant in each spot.

We are working with an arrangement, which means that the order in which the plants are inserted is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

In this problem, 3 plants are selected from a set of 6, hence the number of arrangements is given by:

\(P_{(6,3)} = \frac{6!}{3!} = 120\)

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Answer:

i think is D but not 100%

Step-by-step explanation:

The following are the respective values of the angles:

∠5 = 44°

∠3 = 117°

x = 60°

x = 157°

angles (∠5 + ∠6)° and ∠2 are corresponding angles and are equal so;

∠5 + 90° = 134°

∠5 = 134° - 90°

∠5 = 44°

angles (∠5 + ∠6)° and ∠3 are alternate angles and are equal so;

∠3 = ∠5 + ∠6

∠3 = 27° + 90°

∠3 = 117°

(x + 5) + 90° + (180° - 155°) = 180° {sum of interior angles of a triangle}

x + 5 + 90° + 25° = 180°

x + 120° = 180°

x = 180° - 120°

x = 60°

x = 22° + (180° - 45°) {exterior angle of a triangle equals two opposite interior angles}

x = 22° + 135°

x = 157°

Therefore, the following are the values of the angles: ∠5 = 44, ∠3 = 117°, x = 60°, and x = 157° respectively.

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Answer:

5

Step-by-step explanation:

13 - -12 = 25

7-2 = 5

25/5 = 5

Answer:

\(m=5\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (7, 13)

Point (2, -12)

Step 2: Find slope m

Answer:

\(x=y-22\)

Step 1:

In order to solve this equation, we must subtract the y on both sides so the y could be cancelled out on the left and could move to the right side of the equation.

\(y=3x+22-2x\\=-y+3x+22-2x\)

Step 2:

Then, we add 2x on the right side of the equation to cancel out the -2x and bring it to the left of the equation, where the y was before.

\(=-y+3x+22-2x\\2x=-y+3x+22\)

Step 3:

Then, we do the same thing with 3x: subtract it from the right side and add it to the 2x, which becomes -x.  

\(2x=-y+3x+22\\2x-3x=-y+22\\-x=-y+22\)

Step 4:

Finally, we divide all the numbers by -1 to get our final answer! Reminder: we are doing all this because we have to isolate the x, since we are solving for x.

\(-x=-y+22\\\frac{-x}{-1} =\frac{-y}{-1}+\frac{22}{-1} \\x=y-22\)

Our answer is x = y - 22. Hope this helps!

Answer:

answer: x=y-22

Step-by-step explanation:

first subtract y from both sides. then, add -2x on both sides and subtract 3x from the right so the 2x will be -x. divide everything by a - and the answers x=y-22

Answer:

280/3

Step-by-step explanation:

multiply the number by 10x

subtract it by the original number on both sides

it should give u 9x to whatever answer u got multiply by 10 then divide by 90

Answer:

8.5 hrs? direct variation

Step-by-step explanation:

60 per hour is 600 for 10 hours so 70 per hour to go 600 miles is 8.57142857143 in the calculator

600/60 =10

600/70 = 8.5

and its direct variation because on a graph 8.5 8.5 squares up for ever 1 square going over every time and the graph does curve but I haven't learned this stuff in years so I'm not 100% sure

To find the gradient vector of the function f(x, y) = x^2y at the point (1, -2), we need to compute the partial derivatives of f with respect to x and y and evaluate them at the given point. The partial derivative of f with respect to x is obtained by treating y as a constant and differentiating x^2 with respect to x, giving 2xy.

The partial derivative of f with respect to y is obtained by treating x as a constant and differentiating xy with respect to y, giving x^2. Therefore, the gradient vector of f at (1, -2) is given by:∇f(1, -2) = [2xy, x^2] evaluated at (x, y) = (1, -2)
∇f(1, -2) = [2(1)(-2), 1^2] = [-4, 1]
So, the gradient vector of f at the point (1, -2) is [-4, 1]. This vector points in the direction of the steepest increase in f at (1, -2), and its magnitude gives the rate of change of f in that direction. Specifically, if we move a small distance in the direction of the gradient vector, the value of f will increase by approximately 4 units for every unit of distance traveled. Similarly, if we move in the opposite direction of the gradient vector, the value of f will decrease by approximately 4 units for every unit of distance traveled.

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Answer:

4 tiles

Step-by-step explanation:

12 * 10 = 120 for each tile

24 * 20 = 480 for entire floor

480/120 = 4

4 tiles

Answer: Below

Step-by-step explanation:

This is a pretty simple problem, so hopefully you catch on to it quickly.

Since we have two measurements for two sides of a rectangle, we know they are referring to square centimeters for both the floor and the tiles. Since the units match up, we can divide.

24 * 20 = 480 cm squared

12 * 10 = 120 cm square.

480/120 = 4 tiles.

Our answer is 4 tiles.

Answer:

Bottom left

Step-by-step explanation:

It covers the most points

Based on the total number of pages in the textbook, and the total thickness, the average thickness per page is 0.0047 cm.

The average thickness per page of the textbook can be found by the formula:

= Total thickness of textbook / Number of pages

Solving gives:

= 3.86 / 820

= 0.0047 cm

In conclusion, the average thickness per page is 0.00470 cm.

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\(\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\\)

\(\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]\)

Answer:

5x

Step-by-step explanation:

=> 6x-x

Taking x common

=> x(6-1)

=> x(5)

=> 5x

Answer:

I attached a link:)

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html?q=y%3E-2x%2B2

Answer:

(-1,0) and (0,2) for y>2x+2

(½,0) and (0,-1) for y<2x-1

Step-by-step explanation:

it can be done by two ways 1 , table

2 , x and y intercept

but there is no change in answer or solution set

please mark me as brainliest

thanks for asking

Answer:

V= 112

Step-by-step explanation:

L * w * h  then divide by 3

Answer:

112 in.

Step-by-step explanation:

Volume = Length x Width x Height

Volume = 7 in x 6 in x 8 in

Volume = 336 in.

336 divide by 3 = 112 in

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Answer:

x=35

Step-by-step explanation:

So the line XYZ is 180. The angles together should equal 180 in total.

The equation would be (2x-5) + (3x+10) = 180.

2x-5+3x+10=180

You want to combine like terms.

2x+3x and -5+10

5x+5=180

subtract 5 from both sides. Need variable alone.

5x+5(-5)=180(-5)

5-5 is 0 and 180-5 is 175

5x=175

Divide by 5 on both sides.

5x/5=175/5

x=35

Answer:

x=35

Step-by-step explanation:

Angles on a straight line=180

therefore,(2x-5)+(3x+10)=180

2x-5+3x+10=180

collecting like terms we have,

2x+3x-5+10=180

5x+5=180

subtract 5 from both sides

5x+5-5=180-5

5x=175

divide both sides by coefficient of x

5x/5=175/5

x=35

An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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Answer:

4x^2−4x−1

if u need an explanation tell me

Answer:

4x² - 4x - 1

Step-by-step explanation:

Given

4(x² - 2x) + (x - 1)(x² + x + 1) - x(x² - 4) ← distribute all parenthesis

= 4x² - 8x +x ³ + x² + x - x² - x - 1 - x³ + 4x ← collect like terms

= 4x² - 4x - 1

Answer:

Height of the tree = 6 meters.

Step-by-step explanation:

P.S - The exact question is -

The graph is as follows :

Here Base = 8 m , Hypotenuse = 10 m

As, we know that By Pythagoras theorem,

( Hypotenuse )² = ( Base )² + ( Perpendicular )²

⇒(10)² = (8)² +  ( Perpendicular )²

Let the height of the tree = x

∴ we get

(10)² = (8)² +  ( x )²

⇒100 = 64 + x²

⇒100 - 64 = x²

⇒36 = x²

⇒x = √36

⇒x = 6

∴ we get

Height of the tree = 6 meters.

The scale of the map can be written as:

1cm to 20km

We want to find the distance that 1 cm in the map representes in the real world.

We know the relation:

3cm = 60km

We want to get a 1 in the left side, then we can divide both sides by 3 to get:

1cm = 60km/3

1cm = 20km

Then the scale of the map is 1cm to 20km

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Answer:

$20

Step-by-step explanation:

I = 400(.05)(1)

I = 20

Answer:

3) a<5

5) z≤2

Step-by-step explanation:

3) a/5<1

a<1x5

a<5

5) 5(z+6)≤40

5z+30≤40

5z≤40-30

5z≤10

z≤10÷5

z≤2

Answer:

It's not a triangle

Step-by-step explanation:

What you do is add the two smallest numbers and hope it's smaller than the longer side

9 + 9 = 18

The longest side is 17, which is LESS than 18. That means it's not a triangle

Answer:

It isnt a triangle

Step-by-step explanation:

I did the quiz and this was the answer.

The initial incorrect simplification led to an incorrect result of 9 divided by 4 instead of 2.25.

The incorrect simplification of dividing the sum of 5 and 35 by 5 resulted in an erroneous answer. The correct calculation involves following the order of operations. By multiplying 2 and 15 first, subtracting 9, and adding 3, we obtain (30-9+3). Similarly, by adding the numbers in the denominator, we get (5+35+5). Simplifying further, we have (30-3) divided by 12, which equals 27 divided by 12. The final answer is 9 divided by 4, or 2.25. Therefore, the initial incorrect simplification led to an incorrect result of 9 divided by 4 instead of 2.25.

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Answer:

The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.

Step-by-step explanation:

the answer that is given on edmentum

The probability distribution of M is as follows:

M = 0 with probability 0.125

M = $5 with probability 0.225

M = $10 with probability 0.15

a. To obtain the probability distribution of the statistic M, which represents the maximum amount in any of the envelopes selected, we need to consider all possible outcomes of the sample.

Since the sample is selected with replacement, each envelope has an equal chance of being selected in each draw.

Let's consider the possible values of M:

M = 0: This occurs if all three envelopes selected are from the first five, which contain no money. The probability of this is (5/10) * (5/10) * (5/10) = 0.125.

M = $5: This occurs if at least one of the envelopes selected is from the three containing $5. There are three ways this can happen: (1) $5, $0, $0; (2) $0, $5, $0; (3) $0, $0, $5. Each of these outcomes has a probability of (3/10) * (5/10) * (5/10) = 0.075. Since there are three possible outcomes, the total probability for M = $5 is 3 * 0.075 = 0.225.

M = $10: This occurs if at least one of the envelopes selected is from the two containing $10. There are three ways this can happen: (1) $10, $0, $0; (2) $0, $10, $0; (3) $0, $0, $10. Each of these outcomes has a probability of (2/10) * (5/10) * (5/10) = 0.05. Since there are three possible outcomes, the total probability for M = $10 is 3 * 0.05 = 0.15

b. To carry out a simulation experiment to compare the distributions of M for various sample sizes, you would need to follow these steps:

Define the sample size, n, which represents the number of envelopes selected in each simulation.

Set up a loop that will run the simulation a large number of times (e.g., 10,000 times).

In each simulation, randomly select n envelopes with replacement and record the maximum amount, M.

Repeat the above step for all desired sample sizes.

After running the simulations, analyze the results to compare the distributions of M for different sample sizes.

As the sample size, n, increases, the distribution of M is expected to change. With a larger sample size, there is a higher probability of selecting envelopes containing money, resulting in a higher likelihood of obtaining larger values for M. This means that as n increases, the probabilities associated with M = 0 will decrease, while the probabilities associated with M = $5 and M = $10 will increase. The distribution will shift towards the right, indicating a higher chance of obtaining higher amounts as the sample size increases.

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The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Answer:

the greatest common factor of 10 and 70 is 10

Answer:

5

Step-by-step explanation:

have a good day

Answer:

-1

-3

-5

Step-by-step explanation:

just substitue each value of x into the equation and u will get your answer

Answer:

-1, -3, -5

Step-by-step explanation:

To find why you simply plug in the value they give you for x in the formula.

The formula provided is y=-2x-2

The first x value is -1.

Plug it into the formula.

y=-2(-1)-3

Solve.

y=2-3

y=-1

The first y value is -1.

The second x value is 0.

Plug it into the formula.

y=-2(0) -3

Solve.

y=-3

The second y value is -3

The third x value is 1.

Plug it into the formula,

y=-2(1)-3

Solve.

y=-2-3

y=-5

The third y value is -3.