An engine pulls four identical carriages. The engine is the length of
a carriage and the total length of the train is 86.8 m. Find the length of the engine​

Answer:

[tex]x\neq 1+2n,n\in\mathbb{Z}[/tex]

Step-by-step explanation:

Remember that for the tangent parent function, it has infinite discontinuities (vertical asymptotes) on:

[tex]f(x)=\tan(x), \\\text{Where }x\neq\frac{\pi}{2}+n\pi, n\in\mathbb{Z}[/tex]

Here, we have:

[tex]f(x)=\tan(\frac{\pi x}{2})[/tex]

So, we can set the expression inside the tangent to equal our parent domain restriction. This yields:

[tex]\frac{\pi x}{2}\neq\frac{\pi}{2}+n\pi[/tex]

Solve for x. Multiply both sides by 2:

[tex]\pi x\neq \pi+2n\pi[/tex]

Divide both sides by π:

[tex]x\neq 1+2n, n\in\mathbb{Z}[/tex]

Therefore, for the function [tex]f(x)=\tan(\frac{\pi x}{2})[/tex], it is not continuous for all Xs [tex]1+2n[/tex] where [tex]n\in\mathbb{Z}[/tex]

Answer:

[tex]-\frac{6}{5}x +2[/tex]

Step-by-step explanation:

Point slope form is as so:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept

Just plug in the information you have in their respective spots of the equation

Answer:

77/5

Step-by-step explanation:

Simplify the expression.

Answer:

15 2/5

As an mixed fraction.

Answer:

b

Step-by-step explanation:

Use the formulas.

The formula for sphere is volume = 4πr³/3

We are using 3.14 for pi,

So its volume is about 7234.56.

The formula for cone is volume = πr²h / 3

r is the radius and h is the height.

So the volume of the cone is about 3617.28

Now, subtract.

You get 3617.28.

Choice D is the answer.

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

The depreciated asset price has to be independent of VAT;

= 402,500/1.15

= $350,000

Annual Depreciation = 350,000/6 years

= $58,333

Musk Trading has a 30 June year end so;

September to June = 10 months

Depreciation;

= 58,333 * 11/12

= $48,611

Accumulated Depreciation = $48,611

Depreciation = Annual depreciation of $58,333

Accumulated depreciation

= 2019 depreciation + 2020 depreciation

= 48,611 + 58,333

= $‭106,944‬

Answer:

I think you need to add more information but this is my guess. It takes (blank) time to travel 8.42 miles

Step-by-step explanation:

Answer:

n=6

Step-by-step explanation:

2n-7=5      (add 7 to -7 and 5)

2n=12        (divide both sides by two)

Solution:

n=6

Answer:

N = 1

Step-by-step explanation:

1.- 2n - 7 = 5

Subtract 5 on both side of the equal sign

2.-  2 = 2n

Divide 2 on both side to get the "n" by itself

3.- 2 divided 2 is 1

Answer:

y=3-2x

Step-by-step explanation:

Can i get brainliest please?

Answer:

a) 0.5 is the probability of students who selected the stated option.

b) =0.8 is the probability of students who choose the stated option.

c) E(x) = P(x) x n

        = [(5) + (8)]x 1/10

       = 13/10

Step-by-step explanation:

Solution:

Number of students assigned to guilty state = 57

Number of students choose stated option = 45

Randomly Selected students =10

a) Find p(x=5)

x is the number in a sample of 10, who choose the stated option.

Sample number p(s) = 10

P(x) = 5

Probability = p(x) / p(s)

                  = 5/ 10

                   =0.5

0.5 is the probability of students who selected the stated option.

(b) Find p(x=8)?

Sample number p(s) = 10

P(x) = 8

Probability = p(x) / p(s)

                  = 8/ 10

                   =0.8 is the probability of students who choose the stated option.

(c) Expected (mean) value of x?

The expected value can be calculated by multiplying the probability of an event by the event's amount of times.

E(x) = P(x) x n

        = [(5) + (8)]x 1/10

       = 13/10

Answer:

18 cm/s means 18 cm in 1 second. When converting 18 cm/s into meters per minute, you need to convert 18 cm into meters and 1 second into minute. 18 cm = 18/100 meters. 1 second = 1/60 minutes.

Step-by-step explanation:

The angles are complementary.

This means they add to 90 degrees.

(2x + 1) + (x + 5) = 90.

3x + 6 = 90. (Combine like terms)

3x = 84. (Subtract 6 from each side)

x = 28. (Divide 3 from each side)

x = 28

D is correct

Answer:

55 grams

Step-by-step explanation:

33 times 20 is 660. then you divide 660 by 12 which gives you 55.

There are 55 grams of sugar in a 20-ounce bottle of soda.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Suppose 4 pens cost $20, hence cost of 1 pen is (20/4) = $5.

From this unitary cost, we can determine the cost of any no. of pens.

Given that 12 ounces of cola contain 33 grams of sugar.

∴ 1 ounce of cola contains (33/12) = 2.75 grams of sugar.

Hence in a 20-ounce bottle, there will be (2.75×20) = 55 grams of sugar.

learn more about unitary method here :

https://brainly.com/question/22056199

#SPJ2

Answer:95.75

Step-by-step explanation:

13x + 4y = 487

13*8 + 4y = 487

4y = 487 - 13*8

y = (487 - 13*8)/4

y = dollars per tree = 95.75

Answer:

trees are $95.75

Step-by-step explanation:

13(8) + 4t =487

104 + 4t= 487

104 -104 + 4t = 487 -104

4t = 383

4/4t = 383/4

t = 95.75

Answer:

2 inches

Step-by-step explanation:

liz's fish is 8 inches longer than ann's and her fish is 10 inches long 10-8=2

Answer:

Fifty million and sixty thousand

Step-by-step explanation:

5060000

1 million =1,000,000

Answer:

Step-by-step explanation:

density is mass divided by volume, so 25g divided by 10 cm = 2.5 g

Answer:

D,C,B

Step-by-step explanation:

i hope this help you out if it does comment brainly

Answer:

40.375

Step-by-step explanation:

I hope this helps

Answer:

x=-1/3

your welcome, good luck :)

Answer:

21

Step-by-step explanation:

84% = 84/100

= 0.84

multiply 25 by 0.84 for result

0.84 x 25 = 21

Answer:

The answers would be:

- ZYX

- XYZ

- Y

Step-by-step explanation:

This is because they will all make up the angle.

If you look at the other angles, such as:

XZY and YZX

It is crossing over from X to Z this is not possible as it not only doens't make any sense, but would not be creating the same angle as what is presented.

This also goes for, YZX instead of going in the correct angle, it would cross over from Z to X.

Answer:

y = - x + 6

Step-by-step explanation:

[tex] point \: slope: y - y_{1} = m(x - x_{1})[/tex]

as y is the y coordinate of the final point , y1 is the y coordinate of the initial point, m is the slope or gradient of the line, x is the x coordinate of the final point, and x1 is the x coordinate of the initial point.

given (-1,7) and (2,4). 7 = y1, 4 = y, -1 = x1, 2 = x.

when substituted into the equation the unknown variable is the slope which we are solving for.

y-y1=m(x-x1) ; y = 4, y1 = 7, x = 2, x1 = -1

(given)

4-7 = m(2--1)

(substitution property of equality)

-3 = m(2--1)

(subtraction property of equality)

-3 = m(3)

(subtraction property of equality)

-3 = 3m

(multiplication property)

-1 = m.

(division property of equality)

m = -1

(symmetric property of equality)

_____________________________

once m is solved you just need the initial values to solve for the actual equation.

y - y1 = m (x - x1) ; y1 = 7, m = -1, x1 = -1

(given)

y - 7 = -1 (x - -1)

(substitution property of equality)

y - 7 = -1 (x + 1)

(subtraction property if equality)

y - 7 = -x - 1

(distributive property of equality)

y = -x - 1 + 7

(addition property of equality)

y = -x + 6

(addition property of equality)

Answer:

get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.

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Answer:

Step-by-step explanation:

[tex]x=\frac{mx2+nx1}{m+n}\\let~coordinates ~of~K~be~(x,y)\\12=\frac{3x+4*6}{3+4}\\12*7=3x+24\\3x=84-24\\3x=60\\x=60/3=20\\18=\frac{3y+4*9}{3+4}\\18*7=3y+36\\3y=126-36\\3y=90\\y=90/3=30\\so~K~is~(20,30)[/tex]

Answer:

11.5

Step-by-step explanation:

4x+14=60

Answer:

a = 3 inch

Step-by-step explanation:

Given that,

The volume of a cube is 27 cubic inches.

We need to find the side of the cube.

We know that, the formula for the volume of the cube is given by :

[tex]V=a^3[/tex]

a is the side of the cube

[tex]a=(V)^{1/3}[/tex]

Put V = 27

so,

[tex]a=(27)^{1/3}\\\\a=(3\times 3\times 3)^{1/3}\\\\a=3\ \text{inch}[/tex]

So, the side of each side of a cube is 3 inches.