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[tex]y=sin(x)\implies \cfrac{dy}{dx}=\boxed{cos(x)} \\\\[-0.35em] ~\dotfill\\\\ ycot(x)\implies \stackrel{y}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cfrac{cos(x)}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{cos(x)}[/tex]

Answer:

[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]

hope helpful ~

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]

[tex]2x + 60 = 9x - 24[/tex]

[tex]60 + 24 = 9x - 2x[/tex]

[tex]84 = 7x[/tex]

[tex]x = 12[/tex]

I hope it will be helpful

Answer:

p = 8h

Step-by-step explanation:

Simple math my guy

Answer:

p=8h

Step-by-step explanation:

For each hour, she gets paid $8. So the total pay would be the number of hours multiplied by 8.

Answer: 1hr

Step-by-step explanation: Distance = speed × time

Time = Distance / Speed = 60/60

Answer:

0.9%

Step-by-step explanation:

I took the test

Answer: [tex]2tan(theta)[/tex]

Step-by-step explanation:

I know this is pre-calculus, but I want to let you know what this is actually used for in real calculus. This is a method of integration called "u-substitution" which tranforms the function of 'x' into a function of 'theta'. If we allow the value of 'x' to equal 2sec(theta), we can plug this into the function to get:

[tex]\sqrt{x^2-4} =\sqrt{(2sec(theta)^2-4} =\sqrt{4sec^2(theta)-4}[/tex]

Factor out a 4 to get:

[tex]\sqrt{4(sec^2(theta)-1)}[/tex]

Take the square root of 4 to get a 2 on the outside of the radical:

[tex]\sqrt{4(sec^2(theta)-1)}=2\sqrt{sec^2(theta)-1}[/tex]

Use the trig identity below to convert the secant to tangent:

[tex]tan^2(theta)+1=sec^2(theta)[/tex]

[tex]tan^2(theta)=sec^2(theta)-1[/tex]

Therefore our expression becomes:

[tex]2\sqrt{sec^2(theta)-1}=2\sqrt{tan^2(theta)}[/tex]

The square root of tangent is simply tangent:

[tex]2\sqrt{tan^2(theta)} =2tan(theta)[/tex]

Answer:

Triangle UTS is congruent to Triangle RST.

Step-by-step explanation:

When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!

Answer:

the answer is C. 0.26

Step-by-step explanation:

Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0

So you subtract 1.0 from 0.74 to get 0.26

Answer:

A.

Step-by-step explanation:

I would advise finding the difference between 300 and 200 and 450 and 300:

[tex]300-200=100\\450-300=150[/tex]

We can eliminate C and D since she saves 100 the first month and 150 the second month.

The next step would be to find the increase every month:

[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]

If we would write the increase as a function, we would get:

[tex]y= 1.5x[/tex]

we can check this by substituting values:

[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]

An exponential function looks like this:

[tex]y= a^x[/tex]

A linear function looks like this:

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

Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:

[tex]y=1.5x+0\\y=1.5x[/tex]

Therefore our function resembles a linear function more than an exponential function, eliminating answer B.

Answer:

60/77 the answer is not able to be an improper fraction

Step-by-step explanation:

3/7+9/11

33/77+27/77

60/77

Answer:

0.25

Step-by-step explanation:

3/12 is 0.25

3 divided by 12 when simplified or reduced

The fraction 3/12 is equal to the exact decimal number.

Answer:

it would be 12

Step-by-step explanation:

Answer:

area = 100 inches^2

Step-by-step explanation:

width = x

length = 4x

x + x + 4x + 4x = 50

10x = 50

x = 5

width = 5

length = 4 × 5 = 20

area = length x width

= 20 x 5 = 100

Answer:

So first you have to make all the denominaters (bottom #s) the same so we would get 12/20-8/20+5/20 and you would solve this to equal 9/20 and to divide it by 1/6 would equal 2 7/10.

Hope this helps! (pls read the comment for free gift cards)

Answer:

The answer is the 2nd 1

Step-by-step explanation:

It's a basic graph

Answer:

grams and kilograms it got delted for some reason

Step-by-step explanation:

Answer:

Quadrant IV

Step-by-step explanation:

You can easily find in which quadrant a point lies using this key :

We have the coordinate (4, -5)

Answer:

Quadrant IV

Step-by-step explanation:

The Cartesian plane is divided into 4 quadrants.

Quadrant I is the top right quadrant, where x and y are positive.

We then move in a counterclockwise direction for quadrants II, III and IV.

Therefore:

As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV

Answer: A is (arithmetic sequence)

and D is 1 2 3 4 5 6 7

Unfortunately, I only know the answer to those two.

Sorry.

Answer:

The answer that makes sence to me is C (-3, 4)

Step-by-step explanation:

Answer: Well, the answer really depends. But here are a few ways you can figure this out.

Step-by-step explanation:

If the two lines intersect once, then they have one solution.

If they intersect twice there are two solutions

If the lines never intersect, there are no solutions

And if the lines are identical, meaning that their equation is exactly the same. There are infinite solutions.

A solution with systems of equations is determined by the point of intersection. Your answer is the point of intersection

I hope this is helpful! : )

Answer:

no s

Step-by-step explanation:

Here the diameter = dm

Formula of circumference for circle: 2πr  or  πd

                                        where "d" is diameter and "r" is radius

For this question:

circumference:

Answer:

I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.

Answer:

1309 marbles

Step-by-step explanation:

All together:

Answer:

Less Likely

Step-by-step explanation:

A 2/7 probability means that it will happen less than half the time.

The eliminates equally likely, more likely, and certain as those are 50% or greater.

The probability is also greater than 0%, so it's not "impossible"

Therefore, the answer must be B, Less Likely.

It happens less than half the time, but can at times happen.

Hope this helps!

The solution is, Less Likely, best describe the likelihood of this event.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

An event has a probability of 2/7.

now, we get,

A 2/7 probability means that it will happen less than half the time.

The eliminates equally likely, more likely, and certain as those are 50% or greater.

The probability is also greater than 0%, so it's not "impossible"

It happens less than half the time, but can at times happen.

Therefore, the answer must be B, Less Likely.

To learn more on probability click:

brainly.com/question/11234923

#SPJ7

Answer:

1. 6/10 – 2/5 =

Ans: 2/10, which can be reduced to 1/5.

2. If a tank is 5/8 filled with solution, how much of the tank is empty?

Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that

means 3/8 of it remains empty.

3. 1/2 x 3/5 x2/3 =

Ans: 6/30, which can be reduced to 1/5.

4. 5/9 ÷ 4/11 =

Ans: 55/36. You cannot reduce this fraction any further.

5. Convert 27/4 to a decimal.

Ans: 6.75. This answer is arrived at by dividing 4 into 27.

6. Convert 0.45 to a fraction.

Ans: 45/100, which can be reduced to 9/20.

7. 4.27 x 1.6 =

Ans: 6.832

8. 6.5 ÷ 0.8 =

Ans: 8.125

9. 12 + 4.52 + 245.621 =

Ans: 262.141

Step-by-step explanation:

I hope this helps

So

Volume:-

[tex]\\ \rm\rightarrowtail LBH[/tex]

[tex]\\ \rm\rightarrowtail 2(5/4)(3)[/tex]

[tex]\\ \rm\rightarrowtail 5/2(3)[/tex]

[tex]\\ \rm\rightarrowtail 15/2[/tex]

[tex]\\ \rm\rightarrowtail 7.5cm^3[/tex]

Answer:

  -2 and 1

Step-by-step explanation:

The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.

__

Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...

  10x +5y = -15

The second relation tells us ...

  6x +2y = -10

We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:

__

We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:

  (3x +y) -(2x +y) = (-5) -(-3)

  x = -2 . . . . . . . . . . simplify

  2(-2) +y = -3 . . . . substitute for y

  y = 1 . . . . . . . . . . add 4

The two numbers are -2 and 1.

Answer:

the imino acid found in protein strcjure

Answer:

[tex]x(2) + 5\\[/tex]

The number is 8 because [tex]8 * 2 = 16[/tex]

And if you add 4, you get 20

Hence, the number is 8

Answer:

8

Step-by-step explanation:

let the number be x

=>               2x+(x/2) = 20

=>               4x+x/2 = 20

=>               5x/2 = 20

=>               5x = 20*2

=>               5x = 40

=>               x = 40/5

=>               x = 8

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