Given m varies directly with n and m = 6 when n = 5. what is the value of n when m = 12?

Answer:

Some real numbers are integer

Step-by-step explanation:

Real numbers ;

The answer that makes the sentence true is, some real numbers are integers.

A real number is a number that is both a rational number and an irrational number. Examples of real numbers are 1, 3.14 and 0.

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.

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If rectangle is similarity to rectangle, to find the value of x we use proportion (c) 5/12 = 2/x.

When applying a scale factor, similar shapes are enlarged versions of one another.

All of the matching angles and lengths in related shapes are equal and in the same ratio.

If two figures share the same shape, congruent corresponding angles (which means the angles in the same places of each shape are the same), and identical scale factors, they are said to be "similar figures."

Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.

Thus, EF/JK = FG/KL

Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:

5/12= 2/x

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Answer:

6 miles per hour

Step-by-step explanation:

divide 60 by 10 you get 6

Answer:

The ratio of their radius is \(2:3\)

Step-by-step explanation:

Volume of cylinder is \(\pi r^2h\), where r is radius and h is height

We have

The heights of two cylinders are in the ratio of \(5:3\)

\(\frac{h_1}{h_2} =\frac{5}{3}\)

The volume are in the ratio \(20:27\)

\(\frac{V_1}{V_2} =\frac{20}{27}\\\\\frac{\pi r_1^2h_1}{\pi r_2^2h_2} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2}\times \frac{3}{5} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2} =\frac{4}{9}\\\\\frac{ r_1}{ r_2} =\frac{2}{3}\)

The ratio of their radius is \(2:3\)

Answer:

2 : 3

Step-by-step explanation:

Let,

Radius of cylinder 1 = R

Radius of cylinder 2 = r

Now,

We know that

Volume of cylinder = πr²h

=> πR²h/πr²h' = 20/27

=> R² × 5/r² × 3 = 20/27

=> R²/r² = 20/27 × 3/5

=> R²/r² = 4/9

=> R/r = √(4/9)

=> R/r = 2/3

=> R : r = 2 : 3

Answer:

The vertex of the graph is at (6,0) and the Axis of symmetry is at x= 6

Step-by-step explanation:

Answer:

The cubes dimensions are

9 units × 9 units × 9 units

Step-by-step explanation:

Volume (V) = a³

so reverse that and take the cube root of 729

that gives you 9.

hope this helps!

Answer:

11

Step-by-step explanation:

The ROC of the volume of a cube with respect to the length of its side is s > 0. The given rate of change of volume with respect to side length does not affect the calculation of ROC.

The volume of cube is given by V = s^3, where s is the length of its side.

Taking the derivative of V with respect to s, we get:

dV/ds = 3s^2

The rate of change of volume with respect to the length of the side s is given as:

dV/ds = 8

Substituting the value of dV/ds and solving for s, we get:

8 = 3s^2

s^2 = 8/3

s = ±√(8/3)

Since the length of side of a cube cannot be negative, we take the positive root:

s = √(8/3)

The radius of convergence (ROC) of the volume is s > 0, which means the series expansion of the volume of the cube in terms of the length of its side converges for values of s greater than zero.

Therefore, the ROC is s > 0.

The rate of change of volume does not affect the change in the calculation of ROC.

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A binary relation on Z that fails to exhibit reflexivity, anti-reflexivity, symmetry, anti-symmetry, and transitivity can be defined as follows:

Let R be a relation on Z, where,

R = {(x, y) | x is an even integer and y is an odd integer}.

This relation is not reflexive because for any integer x, the pair (x, x) does not belong to R, as x can only be either even or odd, but not both simultaneously.

Similarly, this relation is not anti-reflexive since there exist elements in Z that are related to themselves. For example, (2, 2) is not in R, indicating a violation of antireflexivity.

Moreover, this relation is not symmetric because if (a, b) is in R, it does not necessarily imply that (b, a) is also in R. For instance, (2, 3) is in R, but (3, 2) is not.

Likewise, this relation is not anti-symmetric because there exist distinct integers a and b such that both (a, b) and (b, a) are in R. An example is the pair (2, 3) and (3, 2) both being in R.

Lastly, this relation fails to satisfy transitivity since there are integers a, b, and c for which (a, b) and (b, c) are in R, but (a, c) is not in R. For instance, (2, 3) and (3, 4) are both in R, but (2, 4) is not.

Hence, the relation R = {(x, y) | x is an even integer and y is an odd integer} on Z demonstrates a lack of reflexivity, anti-reflexivity, symmetry, anti-symmetry, and transitivity.

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In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).

A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if  all the following holds for all t :

(i)   E|\(X_{t\)| < ∞

(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)

If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)]  ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\))  is submartingale with respect to (\(F_{t}\)).

If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).

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Answer:

Step-by-step explanation:

x =121.42

Answer:

x = 82.35

Step-by-step explanation:

42/51 = x/100

cross multiply, then you get

42*100 = 51*x

4200/51 = 51x/51

x = 82.35

Answer:

(-4,2) (0,5) (4,8)

Step-by-step explanation:

Answer:

slope= 3/4, y-intercept= (0,5)

Step-by-step explanation:

I don't really know how to explain this but I'll try my best

points are (5,0), (-4,2), and (4,8)

connect all of these points to create the line

The needed coordinate of Y when the sequence of transformations, R90° ° Tx-axis, is used on  ΔXYZ to make ΔX''Y''Z' is (0, 3)

The process of transformation involves the implementation of a fresh range of mathematical coordinates which are expressed as alternative functions of the initial coordinates.

A rotation 90 can be represented by the formula (x, y) —>  (-y, x)

Note that the there in the question, the coordinate Y is (3, 0)  Of the coordinate is transformed by 90degrees, the given new coordinate will be (0, 3) to (3,0)

So:

3 is the x point.

0 is the y point.

When you replace these two points (switch places) Hence, the x coordinate is 0 and the y coordinate is 3 giving us  (3,0)

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If the coordinates of Y'' are (3, 0), then the coordinates of Y is (0, 3)

From the question, we have the following parameters that can be used in our computation:

The sequence of transformations:

This means that we rotate by 90 degrees and we reflect the triangle across the x-axis

The rule of 90° clockwise rotation is (x,y) = (y,-x)

The rule fo rx-axis is (x, -y)

When combined, we have

(x,y) = (y,-x) = (y, x)

using the above as a guide, we have the following:

If the coordinates of Y'' are (3, 0), then the coordinates of Y is (0, 3)

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Step-by-step explanation:

x2-x-12<0

x2-x<12

x=12

a)The z value is  0.930.

b) For a chi-square distribution the xa value is 0.025

c) For a t-distribution the  P( T > 1.746) value is  0.049

a) To find the z-value such that P(Z > z) = 0.1762

we can use a standard normal distribution table or statistical software. The value corresponds to the area under the standard normal curve to the right of z.

Using the table or software, we find that the z-value for a right-tail probability of 0.1762 is  0.930.

Therefore, z = 0.930.

b) To find xả for a chi-square distribution with v = 12 degrees of freedom, such that P(X > xả) = 0.025.

we can use a chi-square distribution table or statistical software.

The value corresponds to the upper critical chi-square value for a given degrees of freedom and right-tail probability.

Using the table or software, we find that xả is approximately 21.026.

Therefore, xả ≈ 21.026.

c) To find P(T > 1.746) for a t-distribution with v = 16 degrees of freedom, we can use a t-distribution table or statistical software.

The value corresponds to the area under the t-distribution curve to the right of 1.746.

Using the table or software, we find that P(T > 1.746) is 0.049 (or 0.05 for a rounded value).

Therefore, P(T > 1.746) = 0.049 (or 0.05).

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Answer:

336

Step-by-step explanation:

Answer:

you should read 336 pages for you to reach the middle.

Step-by-step explanation:

1298/2--649

649-313--336

Answer:

2.449

Step-by-step explanation:

the square root of 6 is about 2.449

Answer:

10/8      15/12   20/16,   25/20,   30/24,   35/28,   40/32, 45/36, 50/40, 55/44, 60/48, 65/52, 70/56, 75/60, 80/64, 85/68, 90/72, 95/76, 100/80

There are probably hundreds of fractions that are equivalent to 5/4 but i am going to list 3-

1. 10/8

2. 15/12

3. 20/16

\( \large \mathfrak{Answer : }\)

The equation of the given circle is :

(x - 3) + (y - 5) = 8

where, r² = 8

therefore, value of radius (r) = \(2\sqrt{2}\) units

Answer:9,000

Step-by-step explanation:

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The equation m=45-7.5d is a useful tool for the hiking club to track their progress and know how many miles they have left to hike after each day of hiking.

The equation m=45-7.5d represents the number of miles remaining to hike after each day of hiking for the hiking club that is planning a 45-mile hike.

In this equation, m represents the remaining miles to hike, d represents the number of days of hiking completed, and 7.5 represents the number of miles hiked each day.
Using this equation, we can easily calculate the number of miles remaining to hike after each day of hiking. For example, after one day of hiking (d=1), the number of miles remaining to hike would be:
m = 45 - 7.5(1)
m = 37.5
This means that after the first day of hiking, the group still has 37.5 miles left to hike.
Similarly, we can calculate the number of miles remaining after each subsequent day of hiking.

After two days of hiking (d=2), the equation would be:
m = 45 - 7.5(2)
m = 30
So after two days of hiking, the group would have 30 miles left to hike.
In the equation m = 45 - 7.5d:

"m" represents the number of miles remaining to hike after "d" days of hiking.

"45" represents the total distance of the hike.

"7.5" represents the number of miles hiked per day.

To understand how this equation works, you can think about it this way:

On the first day of hiking (d=1), they will have hiked 7.5 miles, so the number of miles remaining will be 45 - 7.5(1) = 37.5 miles.

On the second day of hiking (d=2), they will have hiked another 7.5 miles, so the number of miles remaining will be 45 - 7.5(2) = 30 miles.

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Answer:

from what I remember ide say A

Answer:

140.25

Step-by-step explanation:

10/100*150=15

150+15=165

15/100*165=24.75

165-24.75=140.25

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Answer:

6.63 pounds

Step-by-step explanation:

Total pounds of mixture = 20

The contents of the mixture are; peanuts and almonds. Of which;

Peanuts cost = $2.95 per pound

Almonds cost = $5.95 per pound

The mixture cost = $4.00 per pound

Total cost of contents of the mixture = $8.90

The pounds of peanuts = \(\frac{2.95}{8.90}\) x 20

                     = 6.63

Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.

Answer:

the total cost of the brackets before tax is $89.7

Step-by-step explanation:

The computation of the total cost of the bracket before tax is as follows

Given that

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

The distance of brackets from ends is 1 foot

The maximum distance between brackets is 24 inches

Now based on the above information

The brackets are

= 48 ÷ 12

= 4 feet

And

= 60 ÷ 12

= 5 feet

The length of the shelf is  60 inch

Now the 1 could be deducted from each side

= 60 - 2

= 58 in

Now Divide it by 24 inches

= 58 ÷ 24

= 2.41 ~ 3  

Finally, The total cost is

= ($12.95 + $16.95) × 3

= $89.7

Hence, the total cost of the brackets before tax is $89.7

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Answer with Step-by-step explanation:

2 ( 2x -1 ) + 3 ( x + 1 )

First, let us find the value of the above expression.

2 ( 2x -1 ) + 3 ( x + 1 )

4x - 2 + 3x + 3

Combine like terms

4x + 3x - 2 + 3

7x + 1

Therefore, it is clear that the given expression is equal to 7x + 1.

∴ 7x + 1 = 2 ( 2x -1 ) + 3 ( x + 1 )