write the other side of this equation so its true for all values of x: 1/2(6x-10)-x=

Answers

Answer 1

9514 1404 393

Answer:

  2x -5

Step-by-step explanation:

Any equivalent expression can be used. It is perhaps easiest just to simplify the given expression.

  1/2(6x -10) -x = 3x -5 -x = 2x -5

Putting 2x-5 on the right will give an equation true for all x.

  1/2(6x -10) = 2x -5


Related Questions

A market has two check out lines. Let X be the number of customers at the express checkout line at a particular time of day. Let Y denote the number of customers in the super-express line at the same time. The joint probability mass function of (X, Y) is given below. What is the probability of having only one customer at the express checkout line when there are more than two customers in the super-express line at the same time

Answers

The thaily are not really bad but it’s just that a little bit too big and then I can do that lol but I’m just going outside and I’m going on the road right thanks for

Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank on the generator is a rectangular prism with dimensions 20 cm by 15 cm by 10 cm, as shown. If Jed fills the tank with gas, how long will the generator run? Show how you arrived at your answer. [1000 cm 3= 1 liter] Explain your answer.

Answers

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that 1,000 cm cubed = 1 liter

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

                                                   2 : 1

                                                   6 : 3

the generator will run for 6 hours.

find the value of x. if necessary, round to the nearest tenth

a. 13.7 in
b. 11.7 in
c. 6.9 in
d. 9.7 in

Answers

Your answer is going to be d

A and B are independent events. Use the following probabilities to answer the question. Round to 4 decimal places.

P(A) = 0.32, P(A and B) = 0.09, find P(B)

P(B) =

Answers

Answer:

.2813

Step-by-step explanation:

If two events are independent that means that

A*B= A and B

so

let p(b)= x

.09=.32*x

x= .28125

Round this to

.2813

Step-by-step explanation:

since p(a) and p(b) are independent events

p(a).p(b)= p(a and b)

0.32×p(b)=0.09

p(b)=0.09÷0.32

p(b)=0.28

Differentiate the function, y = (2x - 5)^2 (5-x^5)^2?​

Answers

Answer:

[tex]\displaystyle y' = 2(2x - 5)(x^5 - 5)(12x^5 - 25x^4 - 10)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (2x - 5)²(5 - x⁵)²

Step 2: Differentiate

Derivative Rule [Product Rule]:                                                                        [tex]\displaystyle y' = \frac{d}{dx}[(2x - 5)^2](5 - x^5)^2 + (2x - 5)^2\frac{d}{dx}[(5 - x^5)^2][/tex]Chain Rule [Basic Power Rule]:                                                                       [tex]\displaystyle y' = [2(2x - 5)^{2-1} \cdot \frac{d}{dx}[2x]](5 - x^5)^2 + (2x - 5)^2[2(5 - x^5)^{2-1} \cdot \frac{d}{dx}[-x^5]][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = [2(2x - 5) \cdot \frac{d}{dx}[2x]](5 - x^5)^2 + (2x - 5)^2[2(5 - x^5) \cdot \frac{d}{dx}[-x^5]][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = [2(2x - 5) \cdot 1(2x^{1 - 1})](5 - x^5)^2 + (2x - 5)^2[2(5 - x^5) \cdot -5x^{5 - 1}][/tex]Simplify:                                                                                                              [tex]\displaystyle y' = [2(2x - 5) \cdot 2](5 - x^5)^2 + (2x - 5)^2[2(5 - x^5) \cdot -5x^4][/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 4(2x - 5)(5 - x^5)^2 - 10x^4(2x - 5)^2(5 - x^5)[/tex]Factor:                                                                                                               [tex]\displaystyle y' = 2(2x - 5)(5 - x^5)[2(5 - x^5) - 5x^4(2x - 5)][/tex][Distributive Property] Distribute 2:                                                                 [tex]\displaystyle y' = 2(2x - 5)(5 - x^5)[10 - 2x^5 - 5x^4(2x - 5)][/tex][Distributive Property] Distribute 5x⁴:                                                             [tex]\displaystyle y' = 2(2x - 5)(5 - x^5)[10 - 2x^5 - 10x^5 + 25x^4][/tex][Addition] Combine like terms (x⁵):                                                                  [tex]\displaystyle y' = 2(2x - 5)(5 - x^5)(10 - 12x^5 + 25x^4)[/tex]Rewrite:                                                                                                             [tex]\displaystyle y' = 2(2x - 5)(x^5 - 5)(12x^5 - 25x^4 - 10)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

A filling machine fills bottles of nail polish with amounts that are normallydistributed with mean 18 mL and standard deviation 0.6 mL. A random sample of 12 bottles of this nail polish is selected for inspection.

Required:
a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?
b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?

Answers

Answer:

a. 0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish

b. 0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 18 mL and standard deviation 0.6 mL.

This means that [tex]\mu = 18, \sigma = 0.6[/tex]

a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?

This is the p-value of Z when X = 17.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17.5 - 18}{0.6}[/tex]

[tex]Z = -0.83[/tex]

[tex]Z = -0.83[/tex] has a p-value of 0.2033

0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish.

b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?

Twelve bottles, so now [tex]n = 12, s = \frac{0.6}{\sqrt{12}}[/tex]

The probability is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{17.5 - 18}{\frac{0.6}{\sqrt{12}}}[/tex]

[tex]Z = -2.89[/tex]

[tex]Z = -2.89[/tex] has a p-value of 0.0019

0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL

Which polygon has
an interior angle sum of
1080°?

Answers

Answer:

Octagon

Step-by-step explanation:

An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.

Because the octagon is regular, all of its sides and angles are congruent

Answer:

It's an octagon.  So should be the first one with 8 points.

Step-by-step explanation:

PLEASE IM BEGGING ILL GIVE YOU BRAINIEST:
100 students are interviewed to see which of biology, chemistry or physics they prefer.
17 of the students are girls. 3 of the girls like biology best.
24 of the boys prefer physics.
8 out of the 28 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

Answer:

32%

Step-by-step explanation:

3 girls like biology, 8 like chem and the rest prefer physics. 28 people like chemistry, and 24 boys like physics. This leaves 29 boys and 3 girls liking bio.

Answer: 32%

Step by step explanation:

what is the midpoint with the line segments with end points (-4, 6) (2,-1)

Answers

Answer:

(-1, 5/2)

Step-by-step explanation:

Midpoint = (-4 + 2)/ 2 ,  (6 - 1)/2

= (-2/2), (5/2)

= (-1, 5/2)

Answer:

Step-by-step explanation:

The midpoints of two coordinate is = [tex]\frac{x2 + x1}{2}[/tex] , [tex]\frac{y2 +y1}{2}[/tex].

Let x2 = 2

x1 = -4

y2 = -1

y1 = 6

Solution:

[tex]\frac{2+-4}{2} , \frac{-1+6}{2} \\\\\\= (-1,\frac{5}{2})[/tex]

If this the graph of f(x), then which of the following could be the graph of f-1(x)

Answers

The graph (C) represents the inverse function of f(x) if the graph of a function f(x) is given option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a graph of f(x) is shown in the picture.

As we know, if f(x) has ordered double (x, y)

Then inverse of function g(x) must have ordered double (y, x)

From the given options graph (C) satisfy the condition.

Thus, the graph (C) represents the inverse function of f(x) if the graph of a function f(x) is given option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Answer:

the answer would be option C

Savannah needs to buy a bag of dog food that will last for 2 weeks (14 days). She
estimates that a 20 lb bag will be enough. Is she correct?

Answers

Answer:

if it is a chihuahua, then it will be just fine with 20lb

HELP ME PLEASEEEEEEEEEEEEEE

Answers

Answer:

a

Step-by-step explanation:

John made this model to show 4/7 * 13/9

Using John's model, what is 4/7 * 13/9? (has to be in fractions)

Answers

Answer:

52/63

Step-by-step explanation:

Given the expression

4/7 * 13/9

Taking the product

= (4*13)/(7*9)

= 52/63

Hence the product of both fractions is 52/63

The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What is the probability that the mean height for the sample is greater than 65 inches? Assume o = 2.91 The probability that the mean height for the sample is greater than 65 inches is​

Answers

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that [tex]\mu = 64.4, \sigma = 2.91[/tex]

Sample of 50 women

This means that [tex]n = 50, s = \frac{2.91}{\sqrt{50}}[/tex]

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}[/tex]

[tex]Z = 1.46[/tex]

[tex]Z = 1.46[/tex] has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

There are 4 teams. Each team plays each other team once. How many games are played?
A 3
B 4
C. 6
D. 12
E 16​

Answers

Answer:

E) 16

Step-by-step explanation:

4 * 4 = 16

Hope this helps

The solution is Option C.

The number of games played by 4 teams if they play each other only once is given by combinations and is 6 games

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of teams be n = 4 teams

Each team plays the other team only once , so x = 2

The number of games played by 4 teams if they play each other only once is given by Combination

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

⁴C₂ = ( 4! ) / 2! x 2!

On simplifying the equation , we get

⁴C₂ = ( 4 x 3 ) / 2 x 1

⁴C₂ = 2 x 3

⁴C₂ = 6 games

Therefore , the value of ⁴C₂ =6

Hence , the number of games is 6 games

To learn more about combinations click :

https://brainly.com/question/28065038

#SPJ2

Do the following lengths form a right triangle?​

Answers

Answer:

Yes

Step-by-step explanation:

The lengths of this right angle triangle (6, 8, 10) proves that the polygon is indeed a right angle triangle. This is because there are certain ratios to prove that a right angle triangle is indeed a right angle triangle. These are called the Pythagorean Triples . Some examples include; (3, 4, 5), (7, 24, 25) and (28, 45, 53). The Pythagorean Triple 3, 4, 5 can be scaled up to provide the triple 6, 8, 10, where the scale factor is 2.

Use the following formula for compound interest. If P dollars is invested at an annual interest rate r (expressed as a decimal) compounded n times yearly, the amount A after t years is given by

A= P(1+ r/n)^nt

Required:
What rate of interest is required so that $1000 will yield $1900 after 5 years if the interest rate is compounded monthly?

Answers

Answer:

12.906%/year

Step-by-step explanation:

Given data

Principal= $1000

Final Amount= $1900

Time= 5 years

The compound interest formula is given as

A= P(1+ r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)1/nt - 1]

r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]

r = 0.12906

Then convert r to R as a percentage

R = r * 100

R = 0.12906 * 100

R = 12.906%/year

solve the following
2(x-2)=8

Answers

Answer:

2

Step-by-step explanation:

2 (x-2)=8 equal to 2x-4=8, put -4 to the other side by subtracting 4 on both sides once you do you get 2x=4 so 4 divided by 2 equals 2.

Answer:

x = 6

Step-by-step explanation:

2(x - 2) = 8

2x - 4 = 8

2x = 12

x = 6

Quadrilateral
N
V
D
I
NVDI can be mapped onto Quadrilateral
F
L
S
W
FLSW by a reflection. If
m

V
=
2
3

m∠V=23

and
m

D
=
8
1

m∠D=81

, find
m

S
m∠S.

Answers

9514 1404 393

Answer:

  ∠S = 81°

Step-by-step explanation:

Reflection does not change the angle measures.

The quadrilateral names tell you angle D corresponds with angle S. So, angle S has the same measure.

  ∠S = ∠D = 81°

What is the missing number in the table?

Answers

Answer:

1296

Step-by-step explanation:

the y is multiplying by six each time 6*6 = 36

36*6 = 216

216*6 = 1296

2196 = 7776

What are the zeros of the function y = 2x2 + 5x + 2?
A. x =
- 3x =
x = -2
B. X =
1
2
.X = 2
C. X =
3.x=-2
O D. x=-1.x = 2

Answers

Answer: not sure

but I need points

Step-by-step explanation:

JUST KIDDING It’s A I did this in school before and got it correct :)

There are currently 441 dairy cows at Dancing Dairy Farm. Due to some considerations, the number of dairy cows is decreasing at the rate of 13 cows per year. Currently, each cow produces an average of 1157 gallons of milk per year, and production of milk is increasing at the rate of 39 gallons per cow per year. Use the product rule to determine the rate at which milk production at Dancing Dairy Farm is currently changing.

Answers

Answer:

the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

Step-by-step explanation:

Given the data in the question;

Let us represent the number of cows at the farm with x and

each cow produces y gallons of milk

Total mil production will be T.

so

T = x × y

now, differentiating with respect to t

dT/dt = d( xy )/dt

dT/dt = xdy/dt + ydx/dt

given that;

x = 441

y = 1157

dx/dt = -13

dy/dt = 39

so we substitute

dT/dt = ( 441 )( 39 ) + ( 1157 )( -13 )

dT/dt = 17199 - 15041

dt/dT = 2158

Therefore, the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

What are the solutions of the equation 3x2+6x−24=0

Answers

Answer:

x = -4, x = 2

Step-by-step explanation:

We can start by dividing both sides by 3, the GCF of the right side, in order to make the problem easier to solve:

3x^2 + 6x - 24 = 0

x^2 + 2x - 8 = 0

Now, we can factor this equation. We need to find two numbers that add to 2 and multiply to -8. These numbers are 4 and -2. Therefore, we can factor the equation as follows:

(x + 4)(x - 2) = 0

Using the zero product property we get two equations which we can solve:

x + 4 = 0

x = -4

x - 2 = 0

x = 2

Answer: X=-4,x=2

Step by step explanation

At a real estate​ agency, an agent sold a house for ​$367,000 The commission rate is
6.5% for the real estate agency and the commission rate for the agent is ​25 % of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?
The agency made ​$___ on the house.

Answers

Answer:

The agency makes 23855

The agent makes 5963.75

Step-by-step explanation:

First find the commission for the agency

367000 * 6.5%

367000*.065

23855

Now the agent gets 25% of this amount

23855 *25%

23855 *.25

5963.75

Answer:

Step-by-step explanation:

The agency made $24,440.00

The Agent made $6,110.00

anyone help me, let's prove

Answers

Answer:

In my opinion the limit is equal to 1 not 0, sorry.

Step-by-step explanation:     6  25  13  43

lim n ⇒∞ ((2n - 1)/2n)

lim n ⇒∞ (2n/2n) - 1)/2n)        2n/2n = 1    1/∞  = 0

              =   1  - 0

              =    1

   

when I graphed the function I also got 1

Marcus likes to go for a run each morning before school. He recorded the number of minutes he spends running and the distance he covers. The scatter plot represents the data he collected

Answers

Answer:

D. 0.85

Step-by-step explanation:

The data points in the scatter plot are closer to each other along the line of best fit, this means that there is a strong positive association between minutes and distance and therefore, the correlation coefficient would be relatively closer to 1.

The correlation is positive since both variables tend to increase together in the same direction.

Therefore, the best estimate of the correlation coefficient out of the given options would be 0.85

You have savings of 30,000. You invest in a bond mutual fund that pays 3% simple interest. What are your total savings after 20 years?

Answers

Answer:

54,183.34

Step-by-step explanation:

a = 30,000(1.03)²⁰

a = 54,183.34


Which choice describes symmetry?
A. When something is exactly the same on one side as it is on the
other side.
B. When something looks completely different on one side than
the other side.
C. When something has a spherical shape.

Answers

Answer: A. When something is exactly the same on one side as it is on the

other side

Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!

The sum of and is -15/32 and 7/32 is

Answers

it can be -8/32 or -0.25

Answer:

-8/32 or -1/4(if simplified)

Step-by-step explanation:

-15+7 = -8

-8/32 or -1/4

I need help with this math problem

Answers

Answer: A) (x + 12) and (x + 9)

Step-by-step explanation:

You need to get x^2 + 21x + 108.

A) (x + 12) (x + 9) = x^2 + 12x + 9x + 108 = x^2 + 21x + 108

B) (x - 12) (x - 9) = x^2 - 9x - 12x + 108 = x^2 -21x + 108

C) (x - 27) (x - 4) = x^2 - 4x - 27x + 108 = x^2 - 31x + 108

D) (x + 27) (x + 4) = x^2 + 27x + 4x + 31 = x^2 + 31x + 31

So, the answer is A).

Other Questions
Stationary points. Help ASAP please. Thanks Ive been stuck on these for a while, can someone help? Thank you :) !! Socrates states: consider that each shares in clarity to the degree that the subsection it deals with shares in truth. What does he mean? 4.Please refer to Story A1 and answer the following question. Based on the description of the settling of the novel Sulam which of the following adjectives would most likely describe the behavior of many of its residents? a. Furtive b. Suspicious c. Eccentric d. UnkemptStory A1: The fictional world of Nobel Prize winner Toni Morrison's novel Sulathe African-American section of Medallion, Ohio, a community called the Bottomis a place where people and natural things are apt to go awry, to break from their prescribed boundaries, a place where bizarre and unnatural happenings and strange reversals of the ordinary are commonplace. The very naming of the setting of Sula is a turning upside-down of the expected; the Bottom is located high in the hills. The novel is filled with images of mutilation, both psychological and physical. A great part of the lives of the characters, therefore, is taken up with making sense of the world, setting boundaries, and devising methods to control what is essentially uncontrollable. One of the major devices used by the people of the Bottom is the seemingly universal one of creating a Scapegoat ; in this case, the title character Sulaupon which to project both the evil they perceive outside themselves and the evil in their own hearts. Which recursive sequence would produce the sequence 6, 20, 62, let's tick to the well defined collection How does Shakespeare present the character of Macbeth in Act 2 Scene 1?Please help me with this The median of the data set is? -5+(-4)Adding and subtracting intergers John ........TV every night. ( watch ) Find the sum of the given arithmetic series.24 + 17 + 10 + 3 + ... + (-39) What the midpoint ? Determine the value of x for which r is parallel to s if m angle 1 = 60-2x and m angle 2=70-4x WillGive BrainlistWrite the sentence as an equation The quotient of -112 and 8 amounts to -14 how corruption manifest itself in the private sector When one engages in that person acknowledges viewpoints that may run counter to his/her own? You have just deposited $9,000 into an account that promises to pay you an annual interest rate of 6.1 percent each year for the next 7 years. You will leave the money invested in the account and 15 years from today, you need to have $25,650 in the account. What annual interest rate must you earn over the last 8 years to accomplish this goal l[tex]\lim_{n \to \0} \frac{sin x}{x}[/tex] Any help on this anyone. ? A 8.29g sample of calcium sulfide was decomposed into its constituent elements, producing 4.61g of calcium and 3.68g of sulfur. Which of the statements are consistent with the law of constant composition (definite proportions)?a. Every sample of calcium sulfide will have 44.4% mass of calcium.b. Every sample of calcium sulfide will have 2.86 g of calcium.c. The mass ratio of Ca to S in every sample of calcium sulfide is 1.25.d. The ratio of calcium to sulfur will vary based on how the sample was prepared.e. The mass percentage of calcium plus the mass percentage of sulfur in every sample of calcium sulfide equals 100%.