Find the limit. Enter your answer as a fraction, do not use decimal approximations.
+-²
lim
.
x0 sin(9x) sin(x)

Find The Limit. Enter Your Answer As A Fraction, Do Not Use Decimal Approximations.+-lim.x0 Sin(9x) Sin(x)

Answers

Answer 1

Answer:

  1/(9π)

Step-by-step explanation:

Find The Limit. Enter Your Answer As A Fraction, Do Not Use Decimal Approximations.+-lim.x0 Sin(9x) Sin(x)

Related Questions

Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75.


Write an equation to represent the situation. Let m represent the number of miles to her home. Do not use any spaces or extra symbols.

Answers

Answer:

\(5+2.25m=38.75\)

Step-by-step explanation:

Let \(m\) represent the number of miles to Jazmin's home.

Initial cost to pick Jazmin \(=\$5\)

Cost per mile \(=\$2.25\)

Therefore,

Cost for \(m\) miles \(=\$2.25m\)

Total cost of Jazmin's ride = Initial cost to pick Jazmin + Cost for \(m\) miles

                                            = \(5+2.25m\)

Also, total cost incurred \(=\$38.75\)

So, equation that represent the above situation is \(5+2.25m=38.75\)

Divide the following binomials by given monomials ; (9x2 + 6x) by 3x​

Answers

Answer:

= 27x + 2x

Step-by-step explanation:

hope that will help you

Solve the system of equations using substitution.
y = 2x + 3
y = 3x + 1

a. (-2,-1)
b. (-2,-5)
c. (2,7)
d. (-1,-2)

Answers

Answer:

C. (2,7)

Step-by-step explanation:

2x+3 = 3x+1

x=2

y= 2×2+3

y=7

Use a calculator to find the angle measure to the nearest degree for cos-1 (0.5)
45 Pts!

Answers

Step-by-step explanation:

no calculator req

cos 60 is 0.5

so cos inverse of 0.5 os 60°

\(\\ \tt\hookrightarrow cos^{-1}(0.5)\)

\(\\ \tt\hookrightarrow cos^{-1}\left(\dfrac{1}{2}\right)\)

\(\\ \tt\hookrightarrow 60°\)

Fact about cosine(cos)

\(\\ \tt\hookrightarrow cos\theta=\dfrac{Base}{Hypotenuse}\)

Triangles L O A and L A M share side L A. Angles O L A and A L M are congruent. What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem? LO ≅ LM OA ≅ MA AngleLOA ≅ AngleLMA AngleLAO ≅ AngleLAM

Answers

Answer:

Angle LOA = angle LMA

Step-by-step explanation:

I just took the test

From the diagram, the two triangles have an indication of a pair of

congruent angles.

The additional information needed is; ∠LOA ≅ ∠LMA

Reasons:

The given parameters of ΔLOA and ΔLAM are;

The shared side of the triangles = Side LA

From the attached diagram, we have;

∠ALO = ∠ALM

Required:

The additional information needed to prove that the triangles are congruent using AAS

Solution:

The AAS congruency is an acronym for Angle Angle Side, which states

that, two triangles are similar if two angles and a non included side of one

triangle are equal to two angles and a non included side on another

triangle, then the two triangles are congruent.

The angle on ΔLOA that will make the side LA a non included side is ∠LOA.

Similarly;

The angle on ΔLAM that will make the side LA a non included side is ∠LMA.

Therefore, the additional information needed to prove that the triangle are congruent using the AAS congruency theorem is; ∠LOA ≅ ∠LMA

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 Triangles L O A and L A M share side L A. Angles O L A and A L M are congruent. What additional information

Help

Don’t use for points or will be reported and take the points back

HelpDont use for points or will be reported and take the points back

Answers

Answer:

A

Step-by-step explanation:

bc thats the one that makes more sense to me

Answer:

A

Step-by-step explanation:

It’s a, because equiangular triangle means having an equal angles

John owes $25.20 to his mom. He borrowed $27.60 from his dad. Howmuch does he owe in all? Write your answer as a rational number *

Answers

John owes to his Mom and Dad.

From Mom = 25.20

From Dad = 27.60

The total amount he owes is the sum of both. We just add both the amounts.

Total: 25.20 + 27.60 = $52.80

FIRST TO ANSWER GETS A BRAINLEIST

FIRST TO ANSWER GETS A BRAINLEIST

Answers

Answer:No

Step-by-step explanation:

They come out to different answers

Amanda is going the fair. Her mom gives her $50 to spend. Each ride cost 5 dollars to ride and admission is 15 dollars. What is the most number of rides she can ride and have chance to give back to her mom? (Equations and inequalities)

Amanda is going the fair. Her mom gives her $50 to spend. Each ride cost 5 dollars to ride and admission

Answers

Answer: 6 rides

Step-by-step explanation:

50-15=5r+m

35=5(6)+5

rides=6

money=5

She can ride 6 rides and give 5 dollars back to her mom

e-Test Active
2
3
=+
4
Of(x) = -3x+4
Of(x) = -x +
Of(v)=-3y+4
5
6
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10
TIME REI
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be
written using function notation?
42-

Answers

The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

How to write the function notation?

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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d. G and H are two points on Figure 1, but they are not shown. The
distance between G and His 1. What is the distance between the
corresponding points on Figure 2?

Answers

An enlarged figure has a scale factor greater than 1.

The distance between the corresponding points on Figure 2 is 3 units

From the question (see attachment), we have:

\(AC = 2\)

\(PR = 6\)

Segment AC is corresponding to segment PR.

So, the scale factor (k) from figure 1 to figure 2 is:

\(k = \frac{PR}{AC}\)

\(k = \frac{6}{2}\)

\(k=3\)

So, the distance between the corresponding points of GH on figure 2 would be:

\(G'H'=k \times GH\)

Where:

\(GH=1\)

So, we have:

\(G'H'=3 \times 1\)

\(G'H'=3\)

Hence, the distance between the corresponding points on Figure 2 is 3 units

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d. G and H are two points on Figure 1, but they are not shown. Thedistance between G and His 1. What

B.5 Additive property of length 7RA
If KL = 5x, LM = = 6, and KM = x + 10, what is KL?
K
5x
Submit
L
x + 10
6
M
Simplify your answer and write it as a proper fraction, mixed number, or integer.

Answers

The length of the KL by additive property is 5 units.

The additive property of equality in an equation asserts that the sides stay equal whether we add or subtract the same amount from both sides of the equation. For entire numbers as well, this property is valid.

An example of the additive property is :

If A=B then A+n=B+n where n∈R.

Now the given line segment is KM is x+10

And KL=5x and LM=6

Now using additive property we can say that

KL+LM=KM

Substituting the values in the equations we get:

5x+6=x+10

or, 4x=4

or, x=1

Now using this value of x we can find the length of KL.

Therefore KL=5x=5×1=5

Hence the length of the KL by additive property is 5 units.

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A stegosaurus eats ten twelfths of a plant and then eats two twelfths of the plant later. Estimate how much of the plant the dinosaur ate in all. Explain your thinking.

Answers

Answer:

12 Twelfths (12/10)

Step-by-step explanation:

If the dinosaur ate 10 twelfths, then ate 2 twelfths, you need too add that up.

10/12 + 2/12 = 12/10.

The dinosaur ate 12/10 of a plant. (6/5 if needed to simplify)

Hope this helps!

Answer:

0/12

Step-by-step explanation:

The answer is 0/12. We know this because if there are twelve twelfths [12/12] of a plant and the stegosaurus eats ten twelfths [10/12] of a plant then it is 12 - 10 or the fraction form [12/12 - 10/12] then we subtract and we get the answer [2/12]. And then later it says the stegosaurus ate two twelfths [2/12] of a plant then we subtract 2 - 12 or [2/12 - 2/12] that would then equal 0/12.          

A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in lòng are cut from the four corners
and the flaps are folded upward to form an open box. If the volume of the box is 234 in³, what were the original
dimensions of the piece of metal?

Answers

The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

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

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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The ratio of dogs the cats is 3:5 is there a 30 cats how many dogs with there be

Answers

Answer:

15

Step-by-step explanation: since i helped can i have brainlist please :D

At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?

Answers

Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

I need this please help me no links

I need this please help me no links

Answers

Answer:

sorry for the points

Step-by

5. Slope is -1 and passes through the point (2,4)
Slope intercept form

Answers

Answer:

y = -x + 6

Step-by-step explanation:

Here we use the slope intercept form y = mx + b, substituting 2 for x, 4 for y and -1 for m:

4 = -1(2) + b, or

4 = -2 + b, or b = 6

Then the desired equation is

y = -x + 6

Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?

Type the correct number below without the dollar sign.

Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?Hint:

Answers

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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What is the fractional equivalent of 3.15?

Answers

Answer:

Below

Step-by-step explanation:

3.15 can be read as  3 and 15 hundredths =   3   15/100  = 3  3/20

Answer:  63/20

Step-by-step explanation:

Mr. Huber's preschool students love the sand table activity station where they can dig and play in the sand. The inside of the table, which is filled with sand, is shaped like a rectangular prism that is 40 inches long, 20 inches wide, and 6 inches deep.
What is the volume of the inside of the sand table?

Answers

Answer:

4800 inches^3

Step-by-step explanation:

to find volume you must multiply the length width and depth

40 * 20 * 6

40 * 20 = 800

800 * 6 = 4800

your answer is 4800 inches cubed

Find the quotient and express the answer in scientific notation. 302 ÷ (9.1 x 10^4 )

Answers

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

How to find the quotient

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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Joyce saved $220 on an item that was 75% off what was the original price

Answers

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

-12 -9 (t-3) = 78

t=?

Answers

Answer:

equals -43

Step-by-step explanation:

-12-9(t-3) = 78
Multiply -9 by t and -3 so:
-9(t-3)
-9t + 27
Now add that back to the equation:
-12 -9t +27 = 78
Now combine -12 and 27:
-12-9t +27 =78
15 -9t = 78
Since 15 is positive ( there is no - sign), we need to subtract 78 by 15:
15 -9t = 78
-15 -15
We subtracted and not added because the opposite of addition is subtraction. Now, we have:
-9t = 63
To find t, we need to divide -9t because we are trying to get t to be alone, so:
-9t = 63
————-
-9t -9t
So now, we have:
t= -7
We have a positive t because a negative divided by a negative is equal to a positive.
So, the answer is :
t = -7
Hope this helps, and would you please rank this brainiest?

sin²A+sin²A.tan²A=tan²A​

Answers

Greetings from Brasil...

Putting SIN² A in evidence

SIN² A(1 + TG² A) = TG² A

           1 + TG² A = SEC² A

SIN² A(SEC² A) = TG² A

SIN² A/COS² A = TG² A

TG² A = TG² A

sinA+sinA.tanA=tanA

the point r is a weighted average of points s and t. The weight on point t is 0.625. What is the weight on point s?

Answers

Let w be the weight on point s. Since the sum of the weights is 1, the weight on point t is 0.625, we can write:

w + 0.625 = 1

Subtracting 0.625 from both sides, we get:

w = 1 - 0.625 = 0.375

Therefore, the weight on point s is 0.375.

Find the area of this paralelogram or shape pls easy

Find the area of this paralelogram or shape pls easy

Answers

The area of the given parallelogram will be 6.5 square cm.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Given that the measure of the parallelogram is,

a = 7 cm

b = 6 cm

h = 1 cm

The area of the parallelogram is calculated by the formula given below as,

Area = (1/2) ( a + b ) x h

Area = (1/2) ( 7 + 6 ) x 1

Area = 6.5 square cm

Therefore, the parallelogram will have an area of 6.5 square cm.

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Plzzz helps me for once!!!!!! Find the slope of the graphs below.

Plzzz helps me for once!!!!!! Find the slope of the graphs below.

Answers

Answer:

1: -1/5 2: 2/6 3: 5/2

Step-by-step explanation:

big brain (rise over run)

A marketing company wanted to test what makes people purchase more cereal and they varied box size and flashy/simple graphics. Which of the following would be the main effects tested in this study? a. the results comparing each box size and comparing flashy vs Simple graphics b. behavior of purchasing cereal c. the results comparing each box size only d. the results comparing flashy vs. simple graphics only

Answers

Option A is correct that is the results comparing each box size and comparing flashy vs simple graphics.

Given this, a marketing firm tested several package variations, including size, complexity, and simplicity, to determine which would encourage customers to buy more cereal.

Which of the following would be the key conclusions of the study?

We are aware of this since we are comparing various box and graphic sizes.

When contrasting the sizes of each box and the flashy vs. simple images, the influence of the research can be noticed.

The comparison of the sizes of each box and the effectiveness of flashy vs. straightforward images shows that Option A is the best choice.

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Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.

Answers

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Rate increase on electricity A carpenter can install 35 windows in 7 days. how many windows can he install in 15 days Which father and son pair ruled the sui dynasty at separate times Sharon took a taxi from her home to the airport. The driver charged an initial fee of $4 plus $1.50 per mile. The total fare was $22, not including the tip. How many miles did Sharon travel by taxi? in 1626 the indians sold manhattan island to peter minuit of the dutch west company for $24. if they saved just $1 from the proceeds in a bank account that paid an 8% annual interest, how much would their descendents have in 2020? Angle 3 is equal to angle_ What is the saying that can help you remember the order of the visible spectrum? ROYBVIG ROYGBIV RIBYOVG RYOBIVG This course is called Principles of Finance! Please answer the questions in their entirety, if you can not please do not accept this question! Please answer all of the questions I post. Thank you for helping me; will give you a thumbs up! 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Which of the followingElements is likely toform cations?A. Titanium (T:)B. CarbonC. Bromine(Br)) (ArD. Argon Theo is putting lights around a right triangular sign that has a base of 10 feet and a height of 9 feet. If a box of lights will cover 15 square feet, how many boxes will he need to buy? Practice problems Pre-Lab Questions 1. A candy bar has a total mass of2.5ounces. In a calorimetry experiment, a1.0 gsample of this candy bar was burned in a calorimeter surrounded by1000 gof water. The temperature of the water in contact with the burning candy bar was measured and found to increase from an initial temperature of21.2Cto a final temperature of24.3C. a. Calculate the amount of heat in calories released when the 1.0-g sample burned. b. Convert the heat in calories to nutritional Calories and divide by the mass of the burned sample in grams to obtain the energy content (also called fuel value) in units of Calories per gram. c. Multiply this value by the total number of grams in the candy bar to calculate the total calorie content of the candy bar in Calories. Hint: Convert the mass in ounces to grams. 2. Consult the nutritional labels on two of your favorite snack foods: Report their total calorie content (total Calories) and calculate their fuel value (Calories per gram). Cholesterol can also accumulate in the walls of the coronary arteries. Explain the effect this might have Three quantities A,B,C are expressed as: A=a^3e1 a^1e2 +a^2e3 B=b1 e1 +b2 e2 +b1 e3 C=c^1e1 +c^2e2 +c^3e3 Specify which one of ones cannot be a vector and why Select the structure that correspondsto the name:pentanoic acidA. CH3CHCHCHCOOHB.C. bothCOOH