please help asap 30 pts

[tex]\cot(x)\sin(x)=\cos^3(x)+\cos(x)\sin^2(x)[/tex]

[tex]R=\cos(x)[\cos^2(x)+\sin^2(x)]=\cos(x)\cdot1=\cos(x)\\\\L=\dfrac{\cos(x)}{\sin(x)}\cdot\sin(x)=\cos(x)\\\\L=R\\\\\text{used:}\\\\\sin^2x+\cos^2x=1\\\\\cot x=\dfrac{\cos x}{\sin x}[/tex]

Answer:

The exponent -9  makes the given statement true.

Step-by-step explanation:

We have been given an incomplete mathematical statement and we need to figure out the exponent for 5 on the right hand side to complete the statement.

The given incomplete statement is [tex]\frac{1}{5^{9}}=5^{?}[/tex].

Let us rewrite the left hand side of the expression by moving the exponential term to the numerator using exponent property. As per this property, if we shift an exponential term from denominator to numerator (or vice versa), the sign of exponent changes.

Therefore, we get:

[tex]5^{-9}=5^{?}[/tex]

Now that we have common bases on both the sides, we can equate the exponents. And upon equating the exponents, we can see that the 'question mark' should be replaced by -9 in order for statement to be true.

Therefore, exponent -9 on the right hand side will make the statement true.

Answer:

1/5^9 = 5^-9

Step-by-step explanation:

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.

I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

28/7=4km is car journey covered by car in 1l

64/4=16l

The car would use 16 liters of petrol to cover 64 km.

To find out how many liters of petrol the car uses to cover 64 km, we can set up a proportion using the given information. Since the car uses 7 liters of petrol to cover 28 km, we can say that the fuel consumption rate is 7 liters per 28 km. To find out the fuel consumption rate for 64 km, we can set up the proportion:

7 liters / 28 km = x liters / 64 km

Cross-multiplying, we get 28x = 7 * 64.

Dividing both sides by 28, we get x = 7 * 64 / 28 = 16 liters. Therefore, the car would use 16 liters of petrol to cover 64 km.

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So, The discontinuity would be at 1, since plugging in one for x would yield a zero in the denominator (It would be a non-removable one).

End Behavior:  [tex]\lim_{x \to \infty} f_x = 0 \\\\ \lim_{x \to -\infty} f_x = 0[/tex]

(Zero is a the horizontal asymptope)

First divide 26.33 with 8 to find the cost per gallon

26.33/8 = ~3.29 (rounded).

Each gallon of gas costs $3.29

Next, multiply the cost per gallon with the amount of gallons, 20 in this case.

20 x 3.29 = 65.80

$65.80 is your answer

~Rise Above the Ordinary

9 and 3/2 as an integer is 10.5

If you're looking for the integer of 9 3/2, it'd be 10.5!

I hope this helped!

All the sides of a square are equal.

Perimeter of a square = 4(measure of 1 side)

Therefore if a square contains 4 sides, and the measure of one side is 2 inches, the perimeter is 8 inches. (2x4)

The definition of directly proportional is when one substance increases at the same rate of another substance. When a number is plugged into our formula, the perimeter increases.

20,

So, there are 6 total parts,

X = 60/6

Each X = 10

So, 10*2 = 20

20 of them are golden.

To determine the number of golden nail paints, the total nail paints (60) are divided by the sum of the ratio parts (3), resulting in 20 nail paints per part. Multiplying the part for golden paints (1) by 20 gives us 20 golden nail paints.

The ratio of silver nail paints to golden paints is given as 4 to 2, which simplifies to a ratio of 2 to 1. This means that for every 2 silver nail paints, there is 1 golden nail paint. If there are a total of 60 nail paints, we need to determine how many of them are golden. To find out, we divide the total number of nail paints by the sum of the ratio parts (2 + 1 = 3 parts). Hence, each part represents 20 nail paints (60 ÷ 3).

To calculate the number of golden nail paints, we then multiply the number of parts for golden paints (which is 1 part) by the nail paints per part, so we get 20 x 1 = 20 golden nail paints.

Alright, so first we need to establish two things.

First, the compliment of a set is like the extreme opposite; everything that is not in set B will be in the complement.

Second, we need to find out what B is.

Okay, so B is everything that is greater than 2, that's given. That includes 3, 4, and 5. B = {3, 4, 5}. There are three items in this set.

The numbers that aren't included are 1 and 2. The complement of B, let's call this C I guess, is C = {1, 2}. There are 2 items in this set.

The answer, I believe, is two. Hope this helps!

[tex]a_{n} = n^{3} + n^{2}[/tex]

[tex]a_{1} = 1^{3} + 1^{2}[/tex]

   = 1 + 1

    = 2

[tex]a_{2} = 2^{3} + 2^{2}[/tex]

   = 8 + 4

   = 12

[tex]a_{3} = 3^{3} + 3^{2}[/tex]

   = 27 + 9

   = 36

[tex]a_{4} = 4^{3} + 4^{2}[/tex]

   = 64 + 16

   = 80

Answer: C

Answer:

Refer below

Step-by-step explanation:

A function is said to be increasing if y increases whenever x increases and y decreases whenever x decreases.

A function is decreasing if y increases when x decreases or vice versa.

Hence from the graph we find that when the curve is going up when we move to right the function is increasing otherwise decreasing.

f(x) attains its extreme values at x = -8, -3, 2 and 6

Left of -8 we find f(x) is increasing.

ie.(-infty, -8) increases, (-8,-3)decreases, (-3,2) increases, (2,6) decreases and (6,infty) increases

To consolidate increasing in (-infty, -8)U(-3,2)U(6,infty)

and decreses in (-8,-3)U(2,6)

Answer:

B: Concepts with monetary value

Step-by-step explanation:

for future reference the exact meaning of intellectual property law is the rules for securing and enforcing legal rights to inventions, designs, and artistic works. it is obviously easy to draw the connections from the meaning to the answer B.

Intellectual property law protects intangible creations with monetary value, fitting best with answer B: Concepts with monetary value. It includes patents, trademarks, copyrights, and trade secret law, and is essential for creators and inventors to capitalize on their work.

Intellectual property law deals with the protection of intangible creations that have monetary value, such as art, written work, research findings, and ideas.

The correct answer to the question provided is B: Concepts with monetary value.

Intellectual property includes patents, trademarks, copyrights, and trade secret law which allow inventors and creators to produce, publish, and sell their work and inventions while preventing others from using them without authorization or compensation.

Countries across the globe have distinct laws protecting intellectual property, and organizations like the World Intellectual Property Organization (WIPO) strive to harmonize these laws internationally. Intellectual property is nonexcludable and non rivalrous in nature, often leading to positive externalities and offering private benefits to creators and inventors.

Remark

Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.

Step One

Multiply both sides of the equation by 25

1 * (20 - t) = 4t - (3/5) * 25    Every part of the equation must be multiplied by 25

(20 - t) = 4t - 75/5                 3*25/5 = 75/5

20 - t = 4t - 15                       Add t to both sides

20 - t + t =4t + t  - 15             Combine like terms

20 = 5t - 15                            Add 15 to both sides

20 + 15 = 5t - 15 + 15             Combine like terms  

35 = 5t                                    Divide by 5

35/5 = 5t/5                             Switch sides

t = 7  Answer

Hello there! Thank you for asking your question here on brainly.

Answer: C. <3

Why?

We have 4 angles on each side. We have two sets of angles, so we have 8 angles. To tell how angles correspond, find where they are on the other side. Example, in this, the (2) on the top set of angles it on the top right. To find which one corresponds to the second one, look at the top right of the second set. 6 would be the answer to that. The (3) in this is on the bottom left on the first set, and the 7 on the second set is in the same place, the bottom left.

Hope this helped, and have an amazing day!! ♥~

For this case we must factor the following expression:

[tex]x ^ 2-12x + 36[/tex]

We must find two numbers that when multiplied give as a result "36" and when added together they give "-12". These numbers are:

[tex]-6-6 = -12\\-6 * -6 = 36[/tex]

Then, the factorization is given by:

[tex](x-6) (x-6) = (x-6) ^ 2[/tex]

Answer:

[tex](x-6) ^ 2[/tex]

Option A

The slope intercept from of equation is y= -7x + 41.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

A line that passes through points (7, −8). and parallel to y = −7x − 8

Now, the slope of given  parallel line is -7 and slope of line which is to parallel also of have the same slope.

So, slope of parallel line = -7

Now, using slope intercept form

y -a = m( x- b)

y - (-8)= (-7)(x-7)

y +8 = -7x + 49

y= -7x + 71

Hence, the slope intercept from of equation is y= -7x + 41

Learn more about slope here:

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You start from right to left, the third number is always the hundred place, the second number (6 in your case) is the tens place, and 5 is in the ones place. So your correct answer is 3 or B

Answer:

9, 7,-8.3,>

Step-by-step explanation:

5)-3 is marked exactly 3 units to the left of origin 0.

(since negative sign we mark on left of 0)

6) |-9| = absolute value of 9 = 9

7) y-11=-4

Add 11 to both the sides

WE get y =7 is the solution

8) a + b when a = 2.5 and b = -10.8.

= 2.5+(-10.8) = -(10.8-2.5) = -8.3

9) 0.4 is positive hence lies to the right of origin.

Partition the space between 0 and 1 into 10 equal subparts and mark 4th subdivision to get 0.4

10) -1.8>-2.5

Answer:

  6 buckets

Step-by-step explanation:

Look at the ratio:

  1/3 cup kernels : 2 quarts popcorn

  2/3 cup kernels : 4 quarts popcorn : 1 bucket . . . . multiply by 2

  2 cups kernels : 3 buckets . . . . . . . . . . . . . . . . . . . . .multiply by 3

  4 cups kernels : 6 buckets popcorn . . . . . . . . . . . . multiply by 2

The answer would be... B

Answer: A.15

Step-by-step explanation:

We know that the mode of a data set is a data value that occurs most of the time than the rest other values.

Given : A group of college students was surveyed to see how old they were when they had their first job.

The results were as follows:

:15% were 14 years old;

50% were 15 years old;

20% were 16 years old;

15% were 17 years old.

We can that the highest percentage (i.e. 50% ) is of 15 years old students.

It means that the mode of the data set is 15 .

Hence, the correct answer is option (A).

varies directly means [tex]\frac{y}{x} = k[/tex]

inserting y = -18 and x = 3 ⇒   [tex]\frac{-18}{3} = k[/tex]   ⇒   -6 = k

next, insert k = -6 into the varies directly equation and solve for y. y = -6x

Answer: C

[tex]\frac{4}{7} (\frac{2}{2} ) = \frac{8}{14}[/tex]

[tex]\frac{4}{7} (\frac{3}{3} ) = \frac{12}{21}[/tex]

[tex]\frac{4}{7} (\frac{4}{4} ) = \frac{16}{28}[/tex]

8/14.    

12/21

16/28

Is this what you’re looking for

3/16 because 3/8 is equal to 6/16 and half of that is 3/16.

Answer:

Mike ate [tex]\frac{3x}{16}[/tex]th portion of the pizza on Friday.

Step-by-step explanation:

Let us consider the quantity of pizza = x  

If Mike left [tex]\frac{3x}{8}[/tex] of the pizza in the refrigerator.

On Friday he ate [tex]\frac{1}{2}[/tex] the portion of pizza he ate = [tex]\frac{3x}{8}\times \frac{1}{2}[/tex]

= [tex]\frac{3x}{16}[/tex]

Therefore, Mike ate [tex]\frac{3x}{16}[/tex]th portion of the pizza on Friday.

Answer:

Option C

{-1,3,5}

Step-by-step explanation:

A mapping is a subset of ordered pair (x,y) where x belongs to first set and y belongs to second set.

Hence a mapping is a subset of cartesian product AXB.

Here A = {-2,1,3,5} and

B = {2,4,6,8}

Ordered pair given by the mapping is

(-2,1) (3,6) and (5,8)

In other words, -2 is mapped on to 1, 3 to 6 and 5 to 8

Domain = set of elements in the I set which are mapped

= {-1,3,5}