What type of reasoning is used to find the next amount of train cars? Explain your answer.

Answer:

n = 24 m

Step-by-step explanation:

n²   +   10² = 26²

n²    + 100 = 676

n²   =  576

n = 24 m

Answer:

300

Step-by-step explanation:

I got it correct

The graph which will represent the equation V=3t+9 is the red one in the following image:

[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]. The root equation we got [tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex].

Given that,

[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]

We have to solve the roots equation.

The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3×3. We refer to this as a square because there is a 2 exponent. When the exponent is now 1/2, the square root of the integer is being discussed.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolized by the character "[tex]\sqrt{.}[/tex]" The number underneath the square root symbol is referred to as the radicand, whereas the square root symbol itself is known as a radical.

[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]

[tex]\sqrt{64\times 5x}-\sqrt{25\times 5x}+\sqrt{100\times 2x}+3\sqrt{16\times 2x}+2\sqrt{25\times 2x}[/tex]

[tex]8\sqrt{5x}-5\sqrt{ 5x}+10\sqrt{2x}+3\times 4 \sqrt{2x}+2\times 5\sqrt{ 2x}[/tex]

[tex](8-5)\sqrt{ 5x}+10\sqrt{2x}+12 \sqrt{2x}+10\sqrt{ 2x}[/tex]

[tex]3\sqrt{ 5x}+(10+12+10)\sqrt{2x}[/tex]

[tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex]

Therefore, The root equation we got [tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex].

Complete question:  Find the root equation in [tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex].

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ANSWER

18.1

EXPLANATION

AC is the shortest leg of triangle CAD. The hypotenuse is AD = 30 and AC is the opposite leg to the given angle, m∠ADC = 37°.

We can find the length of side AC using the sine of the given angle,

Solving for AC,

Hence, the length of AC is 18.1.

The volume of the sphere that snugly fits into the cylinder of volume 432π cube units is 288 cube units.

It is given that

Therefore, from the image attached we can infer that

Let the radius of the cylinder and the sphere be r units

Let the height of the cylinder be h units.

Hence h = 2r units

We know that the volume of the Sphere is 4/3πr³

The volume of a cylinder is πr²h

= πr² X 2r

= 2πr³ units cube

According to the problem,

2πr³ = 432π

Multiplying L.H.S with 2/3 gives us

4/3πr³ = 2/3 X 432π

or, 4/3πr³ = 288π

or, the volume of the sphere is 288π cube units

288π cube units

Correct Question

A spherical ball fits snugly inside a cylindrical jar so that the ball touches the top and bottom of the jar and the sides of the jar. the volume of the cylinder is 432π what is the volume of the sphere?

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Answer:

f(-1) = 3

Step-by-step explanation:

This line has function f(x) = 2x - 1, so

f(-1) = 3.

Answer:

f(-1) = 3

Step-by-step explanation:

See attached.  For some reason Brainly thinks my explanation has links or swear words.  It does not.  

Answer:

The greatest common factor of

27

and

36

is

9

.

Step-by-step explanation:

One way to find the greatest common factor (GCF) is to list all of the factors for the numbers. Factors are all of the numbers that can be multiplied to get the number listed. We'll start by finding both number's factors.

27

=

1

,

3

,

9

,

27

36

=

1

,

2

,

3

,

4

,

6

,

9

,

12

,

18

,

36

If you are confused on what factors are or need more explanation, go to www.mathisfun.com/numbers/factors=all-tool.html.

Now that we know the factors of both numbers, we want to find the largest factor that both numbers have. If we read through the list, we see that both

27

and

36

share the factors

3

and

9

.

9

is larger, so

9

would be the GCF.

I hope that this helped you. If you have any questions about this problem, message me or go to www.mathisfun.com/greatest-common-factor.html.

The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

36 + 27

Taking out 9 commons.

9 (4 + 3)

Thus,

The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.

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Answer:

5

Step-by-step explanation:

The function rule for this scenario can be written in slope-intercept form as: y = 6x + 30.

A function rule can be written in slope-intercept form using the unit rate or slope (m), and the starting value/initial value or y-intercept (b). The values of m and b, when determined, are simply plugged into the equation, y = mx + b.

We are given that the design fee that is charged by the cloth designer is a fixed fee of $30. This means that the starting value or y-intercept (m) is 30.

From the problem, we are also given that the additional charge per shirt printed is $6, this also implies that the slope or unit rate (m) of the function is 6.

To write a function rule in slope-intercept form, substitute m = 6 and b = 30 into y = mx + b:

y = 6x + 30.

The function rule for the cost of t-shirt produced based on the number of shirts is expressed as: y = 6x + 30.

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Step-by-step explanation:

I guess we earn 4.5% of total sales.

100% = 238,000

1% = 100%/100 = 238000/100 = $2,380

4.5% = 1% × 4.5 = 2380×4.5 = $10,710

total earnings : base salary + commission =

= 76000 + 10710 = $86,710

You can find the decimal forms of 3/12 and 2/9 by dividing the numerators of each of the fraction by its denominator.

The decimal form of 3/12 is 0.25.

The decimal form of 2/9 is 0.222.

The decimal form of 3/12 is a terminating decimal.

The decimal form of 2/9 is a repeating decimal.

The greater fraction is 3/12. This is because the hundredth value of 3/12 in decimal form is greater than that of 2/9.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A decimal is a number that is made up of integers and non-integers that are separated by a decimal point. The integers are before the decimal point. The non-integers are after the decimal point. In order to convert a fraction to a decimal, divide the numerator by the denominator.

3 / 12 = 0.25

2 / 9 = 0.22

A terminating decimal is a decimal that ends. A repeating decimal is a number that does not end. An example of a terminating decimal is 0.25, 0.1. An example of a repeating decimal is 0.33, 0.222.

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Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

In this case, our slope is undefined. We know this because the slope never changes in the x direction:

[tex]m=\frac{x}{0}[/tex]

Thus, we can only conclude that the equation is simply [tex]x=-2[/tex] since a y component is not possible.

Answer:

The measure of angle BOC is 45°

Step-by-step explanation:

If you need to show your work tell me please!

The weighted mean for three exams is 78.1%.

The weighted mean is a form of mean that is computed by averaging all the products after multiplying the weight (or probability) connected to a specific event or result by its connected quantitative outcome. The difference between the weighted arithmetic mean and a regular arithmetic mean is that certain data points contribute more to the final average than others, as opposed to all data points contributing equally. In mathematics, the average value of the data is determined using the weighted mean. When calculating the weighted mean, the average value can be determined by giving various weights to some of the individual variables.

Given,

Weighted mean for student:

Weights = 155

∈x₁ w₁/∈w₁

121/155 × 100%

78.045%

78.1%

The weighted mean for three exams is 78.1%.

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For the first values of x, the values of 1/x are given below:

For the second value of x, the values of 1/x are given below:

For the third value of 1/x, the values of x is given below:

In order to find 1/x, we would have to put the value of x as the denominator and 1 as the numerator.

For x= 2

The value of 1/x would be 1/2 = 0.50

For x= 1.2

The value of 1/x would be 1/1.2= 0.83

Follow the same sequence to get the other answers.

For 1/x= 0.2

The value of x would be 1/0.2= 5.0

This is because

For 1/x= 0.2,

You would cross multiply and then find the value of x

Apply the same method to the other values.

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If a body is moving in the horizontal axis with a velocity Vx= 6m/s and in the vertical axis Vy=8m/s, the magnitude of the velocity of the body V is 10

The given parameters are;

The velocity of the body relative to the horizontal axis, vₓ = 6 m/s

The velocity of the body relative to the vertical axis,  = 8 m/s

Required;

The measure of the magnitude of the velocity of the moving body, v

The velocity of the body can be represented vectorially as follows;

v = 6·i + 8·j

|V| = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]

|V| = [tex]\sqrt{6^{2} + 8^{2} }[/tex]

= [tex]\sqrt{64 + 36}[/tex]

= √100

|V| = 10

Therefore if a body is moving in the horizontal axis with a velocity Vx= 6m/s and in the vertical axis Vy=8m/s, the magnitude of the velocity of the body V is 10

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Answer:

10+b

Step-by-step explanation:

b-10=however old he was 10 years ago

10b = 10 times his current age

10-b doesn't really have anything to do with his age

10+b= 10 years plus however old he is.

Answer:

$22.50

Step-by-step explanation:

The total cost = $90

The total lesson = 4

total cost ÷ total lesson

=$90÷4

=$22.50

Answer:

32768

Step-by-step explanation:

8x8x8x8x8

Answer:8

Step-by-step explanation:

To calculate the value of x in the diagram below:

The perimeter of a a square =

Hence the value of x = 5ft

Answer:

Step-by-step explanation:

20% of £150= first 150/10=15=10%x2=20% or 30

15% of 80kg=first 80/10=8=10% 5%=half of 10% or 4 so answer is 12

85% of 2 500 m=first 85/10=8.5=10% then/2=4.25add to get 12.75

The best package of beans to buy is 26 ounce costs $8.84

The first step is to find the unit rate for each packages

package a

6= 1.96

1= x

cross multiply both sides

6x= 1.96

x= 1.96/6

x= 0.326

package b

15= 4.80

1= x

cross multiply both sides

15x= 4.80

x= 4.80/15

x= 0.32

package c

26= 8.84

1= x

cross multiply both sides

26x= 8.84

x= 8.84/26

x= 0.34

Hence the best package that should be purchased is the 26 ounce package that costs $8.84

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Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability.

What Sets Conditional Probability Apart from Regular Probability?

The probability of one event happening is examined in probability. The relationship between two occurrences that could happen is examined through conditional probability.

Based on the likelihood that the first event will occur, the probability of the second event happening is examined. The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability.

Conditional probability examines the likelihood of a single event.

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Answer:

always :)

Step-by-step explanation:

got it right

Answer:

4.5 times 10^11

Step-by-step explanation:

From 450000000000 as the solution to 4.5 times 10^11

Using ratio, the total number of peanut butter on the shelf is 144.

So, the ratio of creamy to crunchy peanut butter:

If there are 18 jars of crunchy peanut butter, the total number of peanut butter will be:

Total ⇒ 90 + 54 = 144

Therefore, using ratio, the total number of peanut butter on the shelf is 144.

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ANSWER

0.73, 0.92

EXPLANATION

We want to fill the next two terms in the pattern.

The pattern given is:

0.16, 0.35, 0.54

There is a common difference in this pattern (the difference between two successive terms).

To find this, let us subtract the first term from the second:

0.35 - 0.16 = 0.19

This is the same for the third term subtracting the second term:

0.54 - 0.35 = 0.19

Therefore, the next two terms can be gotten by adding 0.19:

0.54 + 0.19 = 0.73

0.73 + 0.19 = 0.92

The next two terms are 0.73 and 0.92.