Km = km/h÷km + h . find the consistency of the equation.​

The lateral area οf a cylinder is calculated as L = 2rh, where r is the radius οf the base and h is the height οf the cylinder.

In several current branches οf geοmetry and tοpοlοgy, a cylinder can alsο be defined as an infinitely curvilinear surface. There is sοme ambiguity in terminοlοgy due tο the change in the basic meaning οf the wοrds—sοlid versus surface (as in ball and sphere).

By cοmparing sοlid cylinders and cylindrical surfaces, the twο ideas can be separated. Bοth οf these οr a mοre specialised οbject, the right circular cylinder, may be referred tο simply as "cylinder" in literary wοrks.

First, we must calculate the radius οf the cylinder, which is half its diameter.

Sο the radius is 14/2 = 7 meters.

Then, we can plug in the values we have intο the fοrmula: L = 2 × 3.14 × 7 × 13 ≈ 572 square meters.

Therefοre, the answer is A) 572 square meters, rοunded tο the nearest square meter.

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The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

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Answer:

The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.

Step-by-step explanation:

Let's assume the speed of the passenger train is represented by x mph.

According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.

Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.

Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.

Since speed = distance/time, we can set up the following equation based on the distances covered by each train:

Distance covered by passenger train = Distance covered by freight train

Using the formula, distance = speed × time, we get:

x × 3 = (x - 18) × 5

Simplifying the equation:

3x = 5x - 90

90 = 5x - 3x

90 = 2x

Dividing both sides by 2:

45 = x

So, the speed of the passenger train is 45 mph.

The speed of the freight train is 45 - 18 = 27 mph.

Answer:

the answer is 90%

Hope this helps! Good luck

Answer:

well then try to reinvert it an then x + - an divied it see how easy

Step-by-step explanation:

Answer:

All the coordinates are changed to

(x, y) ⇒ (2x, 2y)

Step-by-step explanation:

Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.

To find -  Which answer choice correctly maps this dilation algebraically?​

Proof -

Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.

Now,

Let the coordinates be (x, y)

If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as

(x, y) ⇒ (ax, ay)

Here given , a = 2

So, all the coordinates are changed to

(x, y) ⇒ (2x, 2y)

Answer:

Below

Step-by-step explanation:

Line   y = 1/2 x -7   is of the line-equation form   y = mx = b    where m = slope ....this slope is   1/2     a perpindicular slope is  - 1/m  ( ya just gotta remember that ) = - 1/ (1/2) = - 2

for the new line , point-slope form   through the point (-6,5) would be

    y - 5  = -2 ( x - - 6)     simplifies to

    y = - 2x -7  

Answer:

The final answer would be 2660

Step-by-step explanation:

Since 3 is less than 5, we do not round up. Meaning the nearest tenth is 60

Hope this helps!!<3

Answer:

51.6

Step 1: Calculate

We calculate the square root of 2663 to be:

√2663 = 51.60426338976270

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

51.60

Step 3: Round

Round 51.60 so you only have one digit after the decimal point to get the answer

Step-by-step explanation:

The coordinates and vertices

which reflected over the y- axis are

r(-2,0) , s(2,-3) , and t(2,3).

Answer:

Step-by-step explanation:

Let the number be x, then:

Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods

The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.

The number of neighborhoods she can patrol can therefore be found by the formula:

= Number of hours sheriff has / Number of hours required to patrol one neighborhood

= 5/8 ÷ 3/15

= 5/8 x 15/ 3

= 75 / 24

= 3.125 neighborhoods

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Answer:

Opposite numbers

Step-by-step explanation:

Opposite numbers are defined as numbers that have the same distance from zero but are on opposite sides of zero. So opposite numbers have the same absolute values. Another word for opposite numbers is additive inverses because when opposite numbers are added together the sum is always zero.

Answer:

Step-by-step explanation:

An "incenter" is pretty special. This means that all the lines that are coming from the corners of the triangle are cutting those triangle angles in half. So angle ARU is the same as angle ARK. And it lets us set those algebraic expressions equal to each other to solve for x. See image. An "incenter" is also special because it's the center of a circle that can be drawn inside of the triangle. That makes those perpendiculars AT, AU, AK all the same bc they are the radii (plural of radius) of the circle (the one that's not drawn on your pic, but could be drawn INside the triangle)

Answer:

..............100.............

Answer:

It's 2000ft/h

Step-by-step explanation:

6000/3 = 1 hour rate

On simplifying the given equation, the value of x = -7/2.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Variables, constants, and mathematical operations including addition, subtraction, multiplication, and division are frequently used in it. Equations can be solved to get the values of the variables that make the equation true. Equations are frequently symbolised with the equals sign (=).

Given,

\((1/4) ^{x+1} =32\)

1/4 can be simplified as\((1/2)^{2(x+1)\)

or it can be written as \(2^{-2x - 2}\)

32 can be expressed as 2⁵

⇒ \(2^{(-2x - 2)} = 2^5\)

As base is same, power will be same,

⇒ -2x - 2 = 5

⇒ 2x + 2 = -5

⇒ 2x = -7

⇒ x = -7/2

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Correct question -

What is the solution to this equation? \((1/4) ^{x+1} =32\)

a: 3/2b: 2c: -2d: -7/2

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

17.8

Step-by-step explanation:

You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Using the concept of perimeter of polygon, the perimeter of figure C is 27cm shorter than total perimeter of A and B

To solve this problem, we have to know the perimeter of the polygon C.

The perimeter of a polygon is the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The perimeter of the figures are;

Using the concept of perimeter of a rectangle;

a. figure A = 2(4 + 11) = 30cm

b. figure B = 2(8 + 4) = 24cm

c figure C = 11 + 4 + 8 + 4 = 27cm

Now, we can add A and B and then subtract c from it.

30 + 24 - 27 = 27cm

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A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,

Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³

Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

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Answer:

Roots are basically the x-intercepts (of a parabola)

Step-by-step explanation:

When you are doing quadratic equations, whenever the line touches the x-intercept, it is called a root.

It should be noted that all integers are rational numbers because integers are the set of numbers including all the positive counting numbers, zero, all negative counting numbers, etc.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043

An irrational number cannot be stated using fractions, but a rational number may be expressed as the ratio of two integers with the denominator not equal to zero. Irrational numbers are non-terminating and non-recurring, whereas rational numbers have terminating decimals.

Therefore, all integers are rational numbers.

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Answer:

5:20 to 9:20

Step-by-step explanation:

The new coordinates of triangle E'F'G' include the following:

E' = (8, 1).

F' = (7, 5).

G' = (3, 2).

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.

Furthermore, a reflection across the line y = x would interchange (switch) the x-coordinate and y-coordinate and this is given by this transformation rule:

(x, y)                                    →              (y, x)

Ordered pair E = (1, 8)    →        Ordered pair E' = (8, 1).

Ordered pair F = (5, 7)    →        Ordered pair F' = (7, 5).

Ordered pair G = (2, 3)    →        Ordered pair G' = (3, 2).

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Answer:

50

Step-by-step explanation:

0.8 * x = 40

40/0.8=50

The overall mean would be the average of the means of the two sets, which is 9.8.

To calculate the mean of a set of data, you need to sum up all the values and divide by the total number of values. In this case, we have two sets of data: the first set is {5, 10, 15, 20, 25}, and the second set is {3, 2, 6, 4, 8}.

For the first set, the sum of the values is 5 + 10 + 15 + 20 + 25 = 75. There are 5 values in this set. So, the mean of the first set is 75 divided by 5, which equals 15.

For the second set, the sum of the values is 3 + 2 + 6 + 4 + 8 = 23. There are 5 values in this set as well. Therefore, the mean of the second set is 23 divided by 5, which equals 4.6.

To find the overall mean, we need to calculate the weighted average of the means of the two sets. Since we don't have information about the weights assigned to each set, we cannot provide an exact overall mean.

However, if both sets have equal importance, we can assume equal weights. In that case, the overall mean would be the average of the means of the two sets, which is (15 + 4.6) / 2 = 9.8.

Please note that without information about the weights assigned to each set, this assumption of equal weights is arbitrary, and the overall mean could differ if the weights are different.

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explantation

Step-by-step explanation:

it's -5y-4--(x+3)

The inverse of the function is f⁻¹ ( x ) = √(5x + 4) - 3

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

5y + 4 = ( x + 3 )²

On simplifying , we get

5y + 4 = (x + 3)²

5y = (x + 3)² - 4

Divide by 5 on both sides , we get

y = [(x + 3)² - 4]/5

Now , the inverse of the function is f⁻¹ ( x )

On interchanging x and y in the equation , we get

x = [(y + 3)² - 4]/5

On solving for y , we get

5x = (y + 3)² - 4

5x + 4 = (y + 3)²

√(5x + 4) = y + 3

Subtracting 3 on both sides , we get

y = √(5x + 4) - 3

f⁻¹ ( x ) = √(5x + 4) - 3

Hence , the inverse is f⁻¹ ( x ) = √(5x + 4) - 3

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