Solve For M. M/5+8=12​

The average gradient of the stream is 0.3 meters/kilometer (m/km).

To calculate this, we need to determine the change in elevation over the distance of 200 kilometers. Therefore, the difference in elevation is 600 meters (the starting elevation) minus the elevation at the ocean (assumed to be 0 meters). Dividing this difference (600 meters) by the distance (200 kilometers) gives us the average gradient: 0.3 m/km.

It is important to remember that this is only an average, and the gradient of a stream is not constant throughout its course. Factors such as terrain, obstacles, and rainfall will all affect the gradient of the stream, making it higher or lower at certain points. It is also important to note that a negative gradient means the elevation of the stream is decreasing, while a positive gradient indicates that the elevation is increasing.

In conclusion, the average gradient of the stream beginning at 600 meters and flowing 200 kilometers to the ocean is 0.3 m/km.

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Evaluation of the equation is \(\frac{y^{-14} }{6718464}\)

Here from the question, we get the evaluation

                     \([(2y)^{-3} (3y)^{-2} (6y)^{-2}]^{2}\)

Now evaluate it in the simple form we have

                   \([(\frac{1}{2y} )^{3} (\frac{1}{3y} )^{2} (\frac{1}{6y} )^{2} ]^{2}\)

                   \([\frac{1}{8y^{3} } \frac{1}{9y^{2} } \frac{1}{36y^{2} } ]^{2}\)

                  \([\frac{1}{2592y^{7} } ]^{2}\)

                  \(\frac{1}{6718464y^{14} }\)

                   \(\frac{y^{-14} }{6718464}\)

Therefore we get the simplest form of the evaluation.

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Answer:

y = 4/3x - 6

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (0, -6) and (6, 2)

We see the y increase by 8, and the x increase by 6, so the slope is

m = 8/6 = 4/3

Y-intercept is located at (0, -6)

So, the equation is y = 4/3x - 6

\(\\ \sf\looparrowright p=0.3r\)

Convert 0.3 to fraction then percent

\(\\ \sf\looparrowright 0.3\)

\(\\ \sf\looparrowright \dfrac{3}{10}\)

\(\\ \sf\looparrowright \dfrac{30}{100}\)

\(\\ \sf\looparrowright 30\%\)

Answer:

Step-by-step explanation:

Given

Find r:

Find the difference:

Convert the difference into percent:

Answer:

This can be figured out from the equation:

2n = 11

If he walks 2 miles/hour, then you can just say "2n" to say the miles in the unknown variable for hours.  Set it to equal 11, the number of miles he will walk in n hours.

If this helped, please consider marking me brainliest ;)

Answer:

the answer is the first option, A) 2x-7

Step-by-step explanation:

Answer:

"Ay Cuz!" get it no okay but A is the answer

Step-by-step explanation:

in approximately 22 years, the population would exceed the food supply, even if the country doubles its initial food supply and doubles the rate at which its food supply increases.

How to calculate the rate?

To answer these questions, we need to calculate the population and food supply at different points in time and compare them.

Let's first calculate the population after t years:

Population after t years = 2,000,000 * (1 + 4%) raise to the power t

And the food supply after t years:

Food supply after t years = 4,000,000 + 0.5 million * t

Now, let's answer the first question:

If the country doubled its initial food supply and maintained a constant rate of increase in the supply adequate for an additional 0.5 million people per year, would shortages still occur?

If the country doubles its initial food supply, the new food supply would be 8,000,000, and it would still increase at a rate of 0.5 million people per year. Let's calculate the year when the population exceeds the food supply:

Population = Food supply

2,000,000 * (1 + 4%)^t = 8,000,000 + 0.5 million * t

Solving for t, we get t ≈ 17.77 years.

So, in approximately 18 years, the population would exceed the food supply, even if the country doubles its initial food supply and maintains a constant rate of increase in the supply adequate for an additional 0.5 million people per year.

Now, let's answer the second question:

If the country doubled the rate at which its food supply increases, in addition to doubling its initial food supply, would shortages still occur?

If the country doubles the rate at which its food supply increases, the new rate would be 1 million people per year. Let's calculate the year when the population exceeds the food supply:

Population = Food supply

2,000,000 * (1 + 4%) raise to the power t  = 16,000,000 + 1 million * t

Solving for t, we get t ≈ 21.96 years.

So, in approximately 22 years, the population would exceed the food supply, even if the country doubles its initial food supply and doubles the rate at which its food supply increases.

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[33] x = 140° & y = 118°

    The lines are parallel, sso we can tell that y will equal 118° degrees because of corresponding angles. Then for x, we can add the non-adjacent angles together, 118° + 22° = 140°

[35] x = 26° & y = 64°

    x will be 180° - 90° - 64° = 26° because a triangle's angles are equal to 180° and the box represents a 90° angle. y is equal to 64° because the lines are parallel, and if we "flip" one of the triangles around we can see that y and 64° are corresponding angles. (to check, we add 26° + 64° + 90°, and it does equal 180°!)

[37] Unfortunately, in this photo I cannot see the problem.

Have a nice day! - I saw you asking for help on this, I'm sorry, I was asleep ;-;

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Each cube in the pattern has an area of 3 square inches.

To determine the area of each cube in the pattern, we need to find the area of each rhombus formed by the pattern.

The pattern consists of rhombuses, and we know that the diagonals of each rhombus are 2 inches and 3 inches.

The formula to find the area of a rhombus is given by:

Area = (d1 * d2) / 2,

where d1 and d2 are the lengths of the diagonals.

In this case, d1 = 2 inches and d2 = 3 inches.

Plugging the values into the formula, we get:

Area = (2 * 3) / 2

= 6 / 2

= 3 square inches.

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4x-24y....

4x-24y....

The number in which the value of 3 is 3-1/100 is 345. The correct option is a.

The given number is 43,781.

The value of the 3 in 43,781 is 3,000.

The value of 3-1/100 is 2.99.

We are supposed to find out in which number 2.99 is the value of the 3 in 43,781.

Given options are:

a. 345

b. 237,895

c. 5,732

We'll calculate the values of 3-1/100 in each option.

a. The value of 3-1/100 in 345 is 2.99.

So, the correct option is a.

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The intersection of given set a and b is a∩b = {5}.

According to the given question.

We have two sets a and b.

a = {2, 5, 8, 11, 14}

And, b = {1, 3, 5, 7}

As, we know that "the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B".

Since, only the element which is common to set a and set b is 5.

Thereofore, the intersection of given set a and b is given by

a∩b = {5}

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Answer: 1/3

Step-by-step explanation:

The probability of selecting a chocolate cream pie can be found by dividing the number of chocolate cream pies by the total number of pies:

Probability of selecting a chocolate cream pie = Number of chocolate cream pies / Total number of pies

Probability of selecting a chocolate cream pie = 4 / 12

Simplifying this fraction by dividing the numerator and denominator by 4 gives:

Probability of selecting a chocolate cream pie = 1/3

Therefore, the probability of selecting a chocolate cream pie from Annie's Pie Shop is 1/3.

I believe the answer would be $12.50. multiply the original price and the discount percentage and divide that by 100. once you get the amount saved, which in this case would be $2.75, subtract that from the original price.

Answer:

C x = 10  Q = 50

Step-by-step explanation:

supplemantary means adds to 180 deg.

so 130 + 5x = 180

5x = 50 = ang. Q

x = 50/5 = 10 deg.

The graph of 2x - y = 5 does not represent a direct variation.

Direct variation is variation in which the quotient of the two variables is constant. A constant ratio of two quantities means that one quantity varies directly with the other or that the two quantities vary directly. In symbols, the direct variation formula is y=k*x or k=y/x.

k is known as the constant of variation or the constant of proportionality.

This means that as x increases, y increases, and as x decreases, y decreases, and their ratio is always the same.

The graph of the direct variation equation is a straight line through the origin.

The graph of 2x-y =5 does not pass through the origin, so it does not represent a direct variation. (consult the images attached below).

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The proportions equal to the ratio 9 : 5 is given by the equation A = 18 : 10 , 27 : 15 and 36 : 20

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

A = 9 : 5

Now , the proportion equivalent to the proportion A is given by

A = 9/5   be equation (1)

Multiplying the numerator and denominator by 2 , we get

A = 18/10

So , the value of A = 18 : 10

Now , Multiplying the numerator and denominator by 3 , we get

A = 27/15

So , the value of A = 27 : 15

Now , Multiplying the numerator and denominator by 4 , we get

A = 36/20

So , the value of A = 36 : 20

Hence , the proportion is 9 : 5

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Answer:

\( \dfrac{1}{2} \)

Step-by-step explanation:

we are given a limit

and we want to simplify it

notice that, the numerator is in a sequence of sum of natural number

recall that,

\( \rm \displaystyle \: 1 + 2 + 3 + \dots {\dots }+ n = \frac{n(n + 1)}{2} \)

so substitute:

\(\displaystyle \lim_{n\to \infty } \frac{ \dfrac{n(n + 1)}{2} }{ {n}^{2} } \)

now recall L'Hôpital's rule

\( \displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)} \)

first simplify the complex fraction:

\(\displaystyle \lim_{n\to \infty } \frac{n+ 1}{2n} \)

apply L'Hôpital's rule:

\(\displaystyle \lim_{ n\to \infty } \frac{ \dfrac{d}{dn} n+ 1}{ \dfrac{d}{dn} 2n} \)

simplify:

\( \dfrac{1}{2} \)

and we are done:

Step-by-step explanation:

solution given:

The given expression takes a form\( \frac{ \infty }{ \infty } \)

when n=\( \infty \)

so,

\( \displaystyle \lim_{n\to \infty } \frac{1 + 2 + 3 + \dots {\dots} +n }{ {n}^{2} } \)

\( \displaystyle \lim_{n\to \infty }\frac{n(n+1)}{ 2{n}^{2} }\)

\( \displaystyle \lim_{n\to \infty }\frac{n+1}{ 2n}\)

\( \frac{1}{2} \)

\( \displaystyle \lim_{n\to \infty }[1+\frac{1}{ n}]\)

=\( \frac{1}{2} \)(1+\( \frac{1}{ \infty }) \)

=\( \frac{1}{2} \) is your answer

Given :

When price is $2 dollars he sells 2400 units .

When price is $8 dollars he sells 600 units .

To Find :

If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.

Solution :

Two points are given :

\((x_1,y_1)=(2,2400)\)

\((x_2,y_2)=(8,600)\)

Now , slope is given by :

\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300\)

Now , the equation of line containing these two points and slope -300 is :

\((y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000\)

Therefore , equation for the demand curve is \(y = -300x +3000\) .

Hence , this is the required solution .

A is the answer.

First, figure out all the coordinates for the points marked red( I Did this for all except first one, which was not on the right point)

They were:

-1,1

0,2

1,4

2,8

3,16.

Then, we must do trial and error for each of the options until we find one that fits perfectly. Luckily, the first option was right!

Hope this helps

On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = \(-1 < y < 1\)

Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.

The Range of the given function, f(x) = sin(x)

\(-1 < y < 1\)

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Answer:

a. dbc = 66, ABC = 132

b. abd = 52, dbc= 52

Step-by-step explanation:

just remember that bisects means that the angles on either side of the middle line are equal. so for a, dbc = abd and ABC = 2x 66

for b, abd and dbc are equal, so both of them are just 104 divide by two

Answer

A. -128, 254, -508

Answer:

C

Step-by-step explanation:

ok

MPG = 66.8

Answer:

Step-by-step explanation:

D

We want to find the area under the curve f(t) = 1/t between t = 1 and t = 3.

The correct option is D, the approximate area is 1.1

To find the area under the curve we just must solve the integral:

\(\int\limits^3_1 {1/t} \, dt\)

And remember that:

\(\int\limits {1/x} \, dx = ln(x)\)

Then:

\(\int\limits^3_1 {1/t} \, dt = ln(3) - ln(1) = 1.1\)

So the correct option is D, the approximate area is 1.1

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Answer:

The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a  point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.

This can be demonstrated by the shape of a cross which is always planner

Examples include

1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#

2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross

3) The dimension that can be defined by three points alone is that of a planner  (2-dimensional) triangle shape

Step-by-step explanation:

Answer:

3.04 g/mL

Step-by-step explanation:

density = mass/volume

density = 66.8 g / 22.0 mL

density = 3.04 g/mL