if m = 2n² then what is m²?show me step by step

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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We would expect the spinners to land on the same number approximately 2 times in 10 spins.

Based on the given probabilities, we know that the probability of the red spinner and blue spinner landing on the same number is 21%, and the probability of them landing on different numbers is 79%. We can use this information to calculate the expected number of times the spinners would land on the same number in 10 spins.

If we assume that the probability of the spinners landing on the same number is constant across all 10 spins, then we can model the number of times they land on the same number as a binomial distribution with n=10 (number of trials) and p=0.21 (probability of success).

Using the formula for expected value of a binomial distribution, we can calculate the expected number of times the spinners would land on the same number in 10 spins as:

E(X) = np = 100.21 = 2.1

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Complete question is:

The outcome of spinning 2 spinners 100 times is shown as.

Events                                            Actual outcomes                  Probability

P(red spinner = blue spinner)                  21                                            21%

P(not red spinner = blue spinner)          79                                            79%

How many times would you expect these spinners to land on the same number in 10 spins?

Step-by-step explanation:

h more than 172 is the same as 32

Answer:

week 4

Step-by-step explanation:

that is answer

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Jace, who is exploring a cave that is 10 meters below the surface of the water is at - 10 meters.

Elevation of - 10 meters means we have to go down 10 meters.

According to the given question the surface of the water is at an elevation 0 meters, which person is located at an elevation of -10 meters.

- 10 meters means below 10 meters of the surface of the water.

Reading through options we observe that Jace, who is exploring a cave that is 10 meters below the surface of the water is -10 meter below the surface of water because, Water level it at 0 and the cave is below 10 meter to that so an expression can be formed as

0 - 10 = -10.

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Answer:1.2675x10^37

Step-by-step explanation:

3.9x10^33 x 3.25x10^3

3.9x3.25x10^33x10^3

12.675x10^(33+3)

12.675x10^36

1.2675x10^1x10^36

1.2675x10^(1+36)

1.2675x10^37

Answer:

for 3.25 ⋅ 10 to the power of 3 should be 3250 because 10 to the power of 3 equals 10 ⋅ 3 = 1000 and 1000 ⋅ 3.25 is 3250 because you move the decimal three places to the right ( someone helped my on it and i got it right)

for 3.9 ⋅ 10 to the power of 33 I think it is 1.2675x10^37

im not sure but i hope it helps :)

Answer:

the statement 'the dilation changed the orientation of the figure' is NOT true

Step-by-step explanation:

the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.

the first statement is true because it is an enlargement of the shape

the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)

and the fourth is true because the ratios are 1:1:1:1 for both shapes

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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The required system of equations is 2x + y = 0 and 5x - y = 7.

What is equation of line?

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

(1)

The given points are (0, 0) and (-1, 2)

To find the line of equation,

use Equation of line formula,

y - 0 = (2 - 0) / (-1 - 0) (x - 0)

y = -2x

2x + y = 0

(2)

The given points are (2, 3) and (1, -2)

The equation of line,

y - 3 = (-2 - 3)/(1 - 2) (x - 2)

y - 3 = -5/-1 (x - 2)

y - 3 = 5(x - 2)

y - 3 = 5x - 10

5x - y = 7

The correction option is (B)

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The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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The quadratic function h (x) = x^2 + 3x − 18 by completing the square is witten as h(x) = (x + 1.5)^2  - 20.25.

We are given a quadratic function:

h (x) = x^2 + 3x − 18

We need to rewrite the function by completing the square.

We can see the coefficient of x is 3.

So, we will add and subtract the square of half that.

So, find the square of half of 3, we will get;

(3 / 2)^2 = 9 / 4 = 2.25

add and subtract the square of half of 3 from the given function, we will get;

h(x) = x^2 +3x + -18 2.25 -2.25

arrange the expression, we will get;

h(x) = (x^2 +3x +2.25) -18 -2.25

write the expression in parentheses as a square, and simplify the constant, we will get;

h(x) = (x + 1.5)^2  - 20.25

So, the square function is written as h(x) = (x + 1.5)^2  - 20.25.

Thus, the quadratic function h (x) = x^2 + 3x − 18 by completing the square is witten as h(x) = (x + 1.5)^2  - 20.25.

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Answer:

52%

Step-by-step explanation:

There is a total of 25 marbles in the bag. 13 of them consist of red and blue marbles.

13 / 25 = 0.52 or 52%

Answer:

f(5) = 2

Step-by-step explanation:

Given:

For x=5 :

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

In a research study, there are typically two main variables that direct the scientific enquiry. They are:

The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the effect, the independent variable is the cause of the change.

It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.

For example, let's say the topic of a research is: The Impact of Sunlight on Germination Rate of Seedlings.

Here, Sunlight is the independent variable affecting Germination Rate.

The dependent variable here would be: Germination Rate.

Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

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Answer:

28÷4=7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Hello there! Grace is here to help you! :)

28:4=7

Hope it helps!

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Additional Comment

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Answer:

Step-by-step explanation:

Uui

The amount of the radioactive material in the vault after 140 years is 210 pounds

We have that the function is given as a model;

f(x) = 300(0.5)x/100

Where

Let's substitute the value of 'x' in the model

f(x) = 300(0.5)x/100

\(f(x) = \frac{300(0.5) * 140}{100}\)

\(f(x) =\frac{21000}{100}\)

f(140) = 210 pounds

This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.

Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds

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Answer:

below

Step-by-step explanation:

Need the diagram......

The amount of wheat exported in Canada is 2.6 x 10 tons per year.

Standard form is used to transform large numbers into smaller number. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example: the number 1 x 10² is equivalent to 100

2.21 x 10^7 ÷ 8.5 x 10^5 = 0.26 x 10^2 = 2.6 x 10

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Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Answer:

27.185

Step-by-step explanation:

Answer:

The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.

Step-by-step explanation:

Answer:

81t2+16

Step-by-step explanation:

(9t-4)(-9t-4)   : Equation

Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.

Where :  a=9t, b=-4, c=-9t, d=-4.

This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).

Now we have to Apply minus-plus rule.

Where: -(-a)=a.+(-a)=-a

-9t.9t - 9t.4 + 4.9t = 4.4

=81t2+16

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The method that results in a random sample of the population is D) randomly selecting 100 residents paying real estate taxes, using the town's list of taxpayers and a random number generator.

A random sample is one in which each member of the population has an equal chance of being selected for the survey. Option D satisfies this requirement because it uses a random selection process and targets the specific population of interest (residents paying real estate taxes).

Option A does not result in a random sample because it only includes people who happen to enter Town Hall over the course of one month, which may not be representative of the entire population.

Option B only targets parents of soccer players and may not be representative of the entire population.

Option C also does not result in a random sample because it only includes people entering a specific supermarket on the east side of town, which may not be representative of the entire population.

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Arcs get their angle measure from the central angle they're in, in this case the central angle of 86°, central to arcED, has a counterpart of a twin vertical angle across the center, since both vertical angles are identical twins that means the central angle for arcAB is 86° also, and that's the arcAB's measure too.

Answer:

The equation would be written as fallowed

f(d)=d/2-3

Step-by-step explanation: