What is the length of the leg (b) of the triangle?

On solving the provided question, we can say that - the slope of the following will be slope, m = [tex]4-6/4-2 = -2/2 = -1[/tex]

A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

here,

(x1,x2) = (6,4)

(y1,y2) = (2,4)

slope, m = 4-6/4-2 = -2/2 = -1

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On solving the provided question, we can say that - the slope of the following will be slope, m = -1

what is slope?

A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

here,

(x1,x2) = (6,4)

(y1,y2) = (2,4)

slope, m = 4-6/4-2 = -2/2 = -1

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Hello there!

Answer:

$400'000

Step-by-step explanation:

Estate -- $2.4 million or $2'400'000

Springfield University will receive: 10% * $2'400'000 = 0.1 * $2'400'000 = $240'000

First Church of Springfield will receive: 15% * $2'400'000 = 0.15 * $2'400'000 = $360'000

Wife will receive $600'000

Total: $240'000 + $360'000 + $600'000 = $1'200'000

Children will receive at total: $2'400'000 - $1'200'000 = $1'200'000

So each child will receive: $1'200'000 / 3 = $400'000

Answer: Each child of Homer Simpson gets $400000.

Step-by-step explanation:

Homer Simpson left 10% of his estate, or (10/100)  x $2.4 million

= $ (10/100)x2400000= $240000

$240,000 to Springfield University.

He left 15% of his estate, or (15/100) x $2.4 million = $(15/100)2400000

= $360000

So 360,000 to the First Church of Springfield.

So in total, he left $240,000 + $360,000 + $600,000 = $(240000+360000+600000)

=$1200000

 $1,200,000 to organizations and his wife.

That means the remainder of the estate, $2.4 million - $1,200,000

= $2400000-1200000

= $1200000

1,200,000, was divided among his three children. So each child received $1,200,000 / 3 = $1200000/3

=$400000

Answer: $400000.

Answer:

For this example they are all the same thing.  

530:1 or 530 mph

Step-by-step explanation:

A unit rate is when the denominator is 1.  In this case, the denominator is already 1 hour.

Answer:

49

Step-by-step explanation:

7/15=x/105

15x=735

x=49

Answer:

30.3/option 3

Step-by-step explanation:

Area of paralellogram:

((2+10)/2)*4

12/2*4

6*4

24

Area of semicircle

(pi*r^2)/2

3.1415*2^2/2

3.1415*4/2

6.283

Total:

24+6.283 = 30.283

Round it and it becomes 30.3 so option 3

plz mark brainliest if you find this helpful

Answer:

Half of 4 is 2

2^2 = 4

4 x 3.14 = 12.56, 12.56 divided by 2 = 6.28

10 + 2 = 12

12 x 4 = 48, 48 x 1/2 (basically just dividing by 2) = 24

Add the given areas:

24 + 6.28 = 30.28 m^2

Answer:

a) 45/2,25=20 km per hour

b) 45 minutes

c) 45/3=15 km per hour

Answer:

1. x = 14

2. (14, 115.18)

3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Step-by-step explanation:

The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.

To do the first question, you simply have to make the equation from the story problem.

These equations are usually in the slope intercept form, y = mx + b

C(x) is the same as y, so begin by replacing it for simplicity.

If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.

y = 7.87x + 5

Now we can substitute variables to solve the equation.

To find x when C(x) = 115.18, we substitute y for 115.18.

115.18 = 7.87x + 5

Subtract 5 from both sides:

110.18 = 7.87x

Divide both sides by 7.87:

14 = x

So we have our first answer. When C(x) = 115.18, x = 14.

The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.

This means, as an ordered pair, the answer is (14,115.18).

The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Hope this helped!

Answer:

14:48 on wednesday

Step-by-step explanation:

divide 712 by 24 to get the total number of days. you should get 29.66666667. remember that 1/3 of a day is 8 hours, so you would have 16 hours left. you can subtract 2 hours from the 16 to add to the 22:48 to get it on an 12-hour period, which in this case would be midnight, and when you do this you need to add another day to the 29 you have. then you put the remaining 14 to the 00:48, giving you 14:48. to get the day she finished on, you should honestly do it on your fingers, counting out the days until you hit the 30th day, which should give you wednesday.

Answer:

24 mg find the whole area then subtract 16 boom!

Answer:

Cement = 20

Step-by-step explanation:

2x6=12

2x4=8

12+8=20

The slope is $125 and the slope tells the annual due payment of $125.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take two points from the graph as (2, 400) and (4, 650)

Then, the slope of line is

slope, m = ( 650- 400) / ( 4- 2)

slope, m = 250 /2

slope , m = 125

Hence, the slope is 125.

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One of the way by which we can solve equivalent questions is by multiplying both the numerator and the denominator by a same number .

The number chosen for the purpose should be same and should be a non zero number. Example, if we want to find the equivalent of 2/8 then we can simply multiply 2 and 8 which are the numerator and the denominator by a same number say 3 .

Then we will get the result as 2 x 3 /8 x 3 = 6 / 24 .

The result will be a number equivalent to the given fraction. This can be checked by reducing the result to its lowest terms.

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Answer:

A)one solution (3, -3)

B)no solution

C)infinite solution

Step-by-step explanation:

A) The two equations intersect at a point. This point satisfies both equations.

B) The two equations are parallel and never intersect. Therefore no solution.

C) The two equations are stacked on top of one another. No matter with point of the like is chosen, the point will satisfy both equations.

Answer:

The median of the data is 1

Answer:

391

explanation:somehow it is 391. just somehow.

Answer:

[tex]x = 21[/tex]

Step-by-step explanation:

Apply triangle interior theorem,

[tex]71 + 88 + x = 180[/tex]

[tex]159 + x = 180[/tex]

[tex]x = 21[/tex]

The answer to the table is given below.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given:

Learn more about ratios here: Jerome’s brother told him to add one cup of water for every cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. We get the following table using the constraints given in the question

Drink mix     3     4     5      6    7

water cups   8     9     10     11   12

Hence, The complete table is shown above.

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The drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.

A remark that logically contradicts itself or runs counter to one's expectations is referred to as a paradox.

It is a claim that, despite appearing to be supported by genuine premises and sound reasoning, leads to a logically untenable or self-contradictory conclusion.

One of the most straightforward yet well-known paradoxes is the liar paradox, sometimes known as the liar's paradox statement.

A paradox exists when someone says, "This statement is a lie" or "This statement is false," because if it were true, the statement would be speaking the truth.

In "The Importance of Being Earnest", the play has multiple contradictions.

Because the upper class is required to lead because it is the governing class, Algernon's dissatisfaction with the lower class for not setting a better moral example for the upper class is paradoxical.

Therefore, the drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.

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Answer in explanation:

although there's an addition sign, you subtract the two because a

(+) + (-) = (-) subtract

[This is a general rule, writing down the "rules" for reference is a good way to help if your having trouble]

subtract to find your answer (you keep the sign of 1.8 because it's the larger number.)

1.3 + (-1.8) =

-0.5

-0.5 is your answer

Hope this is clear!

Answer:

3.19

Step-by-step explanation:

The weighted average of Shenandoah's test scores is 82.3.

What is the weighted average?

To find a weighted average, multiply each number by its weight, then add the results. If the weights don't add up to one, find the sum of all the variables multiplied by their weight, then divide by the sum of the weights.

To calculate a weighted average, we need to multiply each score by its corresponding weight, and then add those products up and divide by the sum of all the weights.

To calculate a  non-weighted average such as a mean average, all we need to do is, sum up, the scores and divide this sum by the number of scores. For a weighted average, each score must have a frequency attached to it. This frequency is called specific weight.

So in this case,

Weighted average = (701 + 803 + 805 + 904) / (1+3+5+4) = (70 + 240 + 400 + 360) / 13 = 1070/13 = 82.3

Hence, The weighted average of Shenandoah's test scores is 82.3

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Answer:

general sherman is the biggist

Step-by-step explanation:

grant and sherman - 5900

washington and sherman -4650

Answer:

2.

Step-by-step explanation:

There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.

The example of an associative property is a+(b+c) = (a+b) + c for additional operation and a × (b × c) = (a × b) × c for the multiplication operation. The associative property is used to solve an equation or expression of real numbers.

What are the properties of real numbers?

In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.

The four primary characteristics of real numbers are as follows:

Commutative property

Associative property

Distributive property

Identity property.

Associative property: The associative property is applicable on two arithmetic operations. They are multiplication and addition.

For multiplication operations: a × (b × c) = (a × b) × c

For additional operation: a+(b+c) = (a+b) +

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Answer:

$8

Step-by-step explanation:

The expectation of X, when X is log-normal and log(X) follows a normal distribution with mean m and standard deviation k, is exp(m + k²/2).

Therefore the answer is exp(m + k²/2).

The log-normal distribution is a probability distribution of a random variable whose logarithm is normally distributed. In other words, if X is log-normal, then log(X) follows a normal distribution with mean m and standard deviation k.

The expectation of a random variable is the expected value of the variable, which is a measure of the central tendency of the distribution. For a continuous probability distribution, the expectation is also known as the population mean. The expected value of X can be calculated using the probability density function (PDF) of X.

The expectation of X is calculated as the integral of X × f(X) over the range of X. Where f(X) is the probability density function of X and X is the random variable.

For log-normal distribution, the expectation of X is calculated as follows:

E(X) = exp(m + k²/2)

where m is the mean of log(X) and k is the standard deviation of log(X).

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Answer:

18 is the original number.

Step-by-step explanation:

Let the number be x.

A/Q:-

3 (x-14)= 2/3x

Multiplying by 3 we get

9(x-14)=2x

9x-126=2x

9x-2x=126

7x=126

x =126/7

x=18

Answer:

Let the no. be x

3 (x-14) =

Answer:

E

Step-by-step explanation: