i need the answers for the problems

I Need The Answers For The Problems

Answers

Answer 1

Answer:

I believe the first one is log8(5/3), the second is log5(3), and the third is -2log2(5)

Step-by-step explanation:

I got this by applying the properties of logarithms which are:

logₐ mn = logₐ m + logₐ n (product property)

logₐ m/n = logₐ m - logₐ n (quotient property)

logₐ mn = n logₐ m (power property)

logb = (log꜀ a) / (log꜀ b) (change of base property)


Related Questions

Suppose we want to determine how long it takes on average for a typical adult to build four different styles of tables,
which are referred to as A, B, C, and D. To create four treatment groups, the researcher begins by writing the name
of each member of the population on a slip of paper. Next, the researcher puts all slips of paper into a hat and
shuffles them well. Finally, the researcher draws slips of paper from the hat to determine the participants in the
experiment. Identify the component missing from the researcher's process.
The researcher did not assign individuals to treatment groups.
* The researcher did not create the correct number of treatment groups
The researcher did not select the experimental units randomly.
* The researcher did not allow each experimental unit the chance of being chosen
Intro
Final

Answers

According to the given statement the correct option is A.

The researcher did not assign individuals to treatment groups.

What Do Researchers Actually Do?

Typically, researchers are employed by either university or commercial organizations. To support future research, enlarge the body of academic literature, and enhance decision-making, researchers collect data over the course of a project, evaluate the data, and publish the results.

What aspect of a researcher's job is most crucial?

Researchers have an obligation to share their findings, collaborate with others when needed, and transmit and use information for the good of their employer, the economy, and society at large. In the process of their research, researchers have an obligation to conduct themselves honestly and ethically.

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Louie is studying ceramics, and he was asked to submit 5 vessels from his collection to exhibit at the fair. He has 15 vessels that he thinks are show worthy. In how many ways can the vessels be chosen?

Answers

Louie can choose the vessel for exhibition using combination in 3003 ways

How to determine the number of Louie can choose the ceramic

information from the question include

Louie is studying ceramics and he is to submit 5 vessels

He has 15 vessels

The problem will be solved using combination

combination is method of choosing or making selection when order does not matter

Louie can choose any 5 of his vessel with no particular order

The formula is ₁₅C₅

₁₅C₅ = 15! / {5!(15 - 5)! )

= 15! / {5! * 10!}

= 3003 ways

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A line of best fit was drawn for 5 data points. What is the maximum number
of these data points that may not actually be on the line?
A. 5
B. 3
C. 2
D. 4

Answers

Answer:

Step-by-step explanation:

Correct answer is A 5

If you throw exactly two heads in three tosses of a coin you win $41. If not, you pay me $29. If you played this game 713 times how much would you expect to win or lose?

Answers

Two heads in three tosses is 3/8, 3/8x713=267.375. 267.375×41=10,962.375.

5/8x713=445.62, 445.62×29=12,923.125

So 10,962.375-12,923.125=-1960.75

Therefore if you played this game, you would statistically lose $1960.75

8x + 16x - 12 = 24x- 12

Does the equation have one,
none, or infinite solutions?
Explain why.

Answers

Answer:

Infinite solutions

Step-by-step explanation:

The equation is,

→ 8x + 16x - 12 = 24x - 12

Let's solve for the value of x,

→ 8x + 16x - 12 = 24x - 12

→ 24x - 24x = -12 + 12

→ [ 0 = 0 ]

Hence, it has infinite solution. Because, all the real numbers are suitable.

Answer:

infinite number.

Step-by-step explanation:

Comment

There is only the same letter (x) on both sides of the equation. None of the xs are raised to any power. The power is 1 for all of them. That being so, there is only ONE solution.

x^2 + 5x + 6 would give 2 solutions because the x is raised to the second power.

x^3 + x^2 + 4x + 9 would give 3 solutions.

Solution

8x + 16x - 12 = 24x - 12 This equation is a little different. Both sides are exactly the same -- 24x - 12. That means that there is an infinite number of solutions.

For example let x = 10

The right side = 240 - 12 = 228

The left side = 8*10 + 16*10 - 12 = 228

You can't come up with a number that will make the left side unequal to the right side.

Solve 5x² + 1 = 51 by finding square roots.
x = 50, -50
x = √10,-√10
x = 10, −10
x = √50,-√√/50

Answers

Answer:

x = √10,-√10

explanation:

5x2 + 1 = 51

you would carry the +1 to the other side making it

5x2=51-1

which is 5x2=50

this equation above can then be turned into

x2=50÷5

which goes on to form the equation

x2=10

this can then be turned into x=the square root of ten

and since it is know that when an equation is x2 whether it is negative or positive it would result in the same answer

but yeah I'm not smart or whatever but I hope this helps

not too sure it's correct though

What must be added to 4/9 to make a whole? ​

Answers

Answer:5/9

Step-by-step explanation:

use the distributive property to solve the equation 2x - 4(x - 2) = - 8 + 4x + 4

Answers

Is it 0 I don’t know bro

What value of k will translate the graph of f(x) = 5x + 6 down by 1 when replaced by f(x) + k?

Answers

Step-by-step explanation:

"down by one" means that the y values (the function result values) are all decreased by 1.

so, k = -1

Given that (x - 5) is a factor of
x³ - 7x² + 2x + a, find the value of a​

Answers

check your textbook for the remainder theorem, where it states that for a factor (x-5) of f(x) then the remainder will be 0, thus f(5) = 0, what the heck all that means?

well, it means that if we evaluate f(5) our result should be 0, so

[tex]\stackrel{factor}{(x-5)}\hspace{5em}f(5)=(5)^3-7(5)^2+(5)+a=0 \\\\\\ 0=(5)^3-7(5)^2+(5)+a\implies 0=125-175+10+a \\\\\\ 0=-40+a\implies \boxed{40=a}[/tex]

Solve for x. Enter the solutions from least to greatest. (x + 6)^2 - 16=0 lesser x = greater x =

Answers

Answer:

x= -2, -10

Step-by-step explanation:

(x+6)^2-16=0

(x+6)(x+6)-16=0

x^2+6x+6x+36-16=0

x^2+12x+20=0

10+2=12

10(2)=20

(x+2)=0

(x+10)=0

x= -2, -10

268 + 88 in the form of a(b+c)

Answers

Answer:

4(67 + 22)

Step-by-step explanation:

1. Find the greatest common factor(in this case it is 4)

2. Divide both 268 and 88 by 4 and you get 67 and 22

3. Put it in the requested format and you are left with 4(67 +22)

2. (01.03 LC)
Landyn is comparing cell phone plans. He does not want to spend more than 10% of his net pay each month. If his current monthly net pay is $560.00, which
plan below fits into his budget? (2 points)
Plan A: 55+55(0.05) -
Plan B: 50+ 50(0.05) -
Plan C: 60+60(0.05) =
Plan A
O Plan B
Plan C
O No plans

Answers

The plan that fits to Landyn's budget is plan B

What is percentage and how to calculate it?

A percentage is a certain number or part in every hundred. It is a fraction with the denominator 100, and the symbol for it is "%." Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. Two methods exist for calculating a percentage. By adjusting the fraction's denominator to 100 and applying the unitary approach.

We are given that Landyn's current monthly net pay is $560

And he does not wish to spend more than 10% of his current net pay

That means not more that $56

Now we are given 3 choices

Out of which the third one is more than 60 hence this rules out the third option. Now the first option the value is 55+55(0.005) which again is more than $56

Consider the option B)

50 + 50(0.05)

= 52.5

Which is less than $56

Hence, The plan that fits to Landyn's budget is plan B

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18. MULTIPLE CHOICE
(Lesson 2-6)
(A) X=-4
B) X= 4
Ox=8
(D) X = 20
Solve
3
x + 4
=
2
X-4

Answers

Answer:

Step-by-step explanation:

solving 3x+4=2x-4

now 3x-2x=-4-4

⇒ x=-8

(c) x=8 here you have given it as O thank you

A square floor is fitted with rectangular tiles of perimeter 220 cm. Each row carries 20 less tiles than each column. If the length of the floor is 9.6 m; calculate
(a) the dimensions of the tiles.
(b) the number of tiles needed.
(c) the cost of fitting the tiles if the tiles are sold in dozens at Kshs. 1500 per dozen and the labour cost is Kshs. 3000.

Answers

The 220 cm (2.2 m) perimeter of the tiles and the 9.6 meter side length of the square floor gives equations with the following solutions;

(a) The dimensions of the tiles are;

Width = 0.3 meters

Length = 0.8 meters

(b) 384 tiles are needed

(c) The fitting cost of the tiles is Kshs 51,000

What is an equation?

An equation is a mathematical statement that consists of two expressions connected with an equals sign

Shape of the floor = Square

Shape of the tiles = Rectangular

Perimeter of the tiles = 220 cm = 2.2 m

The number of tiles in each row =  20 + The number of tiles in each column

Length of the floor = 9.6 m

(a) Let w represent the width of the tiles, the length l is found using the equation;

[tex]l = \dfrac{2.2 - 2\cdot x}{2} = 1.1 - x[/tex]

Let n represent the number of tiles in each row, which gives;

The number of tiles in each column = 20 + n

(20+n)·x = n·(1.1 - x)

Which gives;

[tex]x = \dfrac{1.1\cdot n}{2\cdot n+20}[/tex]

The side length of the square floor, s = 9.6

(20+n)·x = n·(1.1 - x) = 9.6

Which gives;

[tex]n\cdot \left(1.1 - \dfrac{1.1\cdot n}{2\cdot n+20}\right) = 9.6[/tex]

Which gives;

0.55·n² - 1.4·n -96 = 0

n = 12 or n ≈ -14.5

The number tiles in each roe, n = 20

Which gives; n·(1.1 - x) = 9.6

20 × (1.1 - x) = 9.6

x = 0.3

The width of each tile, x = 0.3 m

The length of each tiles = 1.1 m - 0.3 m = 0.8 m

(b) The number of tiles in each row, n = 20

The number of tiles in each column = n + 20, which gives;

Number of tiles in each column = 12 + 20 = 32

The number of tiles needed = 12 × 32 = 384

(c) The cost of a dozen tiles = Kshs 1,500

The labour cost = Kshs 3,000

Number of dozens of tiles = 384 ÷ 12 = 32

The cost of the tiles C = Kshs 1500 × 32 = Kshs 48000

The total cost = Kshs 48,000 + Kshs 3,000 = Kshs 51,000

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The total number of restaurant-purchased meals that the average person will eat
in a restaurant, in a car, or at home in a year is 169. The total number of these
meals eaten in a car or at home exceeds the number eaten in a restaurant by
13. Twenty more restaurant-purchased meals will be eaten in a restaurant than

Answers

78 meals are eaten in a restaurant, 58 meals are eaten in a car, 33 meals are eaten at home and the question is solved by using linear equations.

What is the linear equation?

A linear equation is an algebraic equation of the form y =mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given that the total number of meals is 169.

Assume that,

a = number of meals eaten in a restaurant

b = number of meals eaten in a car

c = number of meals eaten at home

a + b + c = 169 .....(i)

Since the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 13.

Thus b + c = a + 13 .....(ii)

Again twenty more restaurant-purchased meals will be eaten in a restaurant than at home.

a = 20 + c .....(iii)

Subtract equation (ii) from (i)

a + b + c - b - c = 169 - a - 13

2a = 156

Divide both sides by 2

a = 78

Substitute a = 78 in equation (iii)

78 = 20 +c

c = 58

Putting c =58  and a =78  in equation (ii)

b + 58 = 78 + 13

b = 33

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Question:

The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 169. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of​ restaurant-purchased meals eaten in a​ restaurant, the number eaten in a​ car, and the number eaten at home.

Josephine invests £3,500 in a bank account which pays annual compound interest of 4.5%. How much money will she have in the bank after: (a) 2 years, (b) 3 years?

Answers

Josephine have £3882.9 amount after 2 years and £3994.9 amount after 3 years.

Using the formula of compound interest we can find the amount after t years compounded annually at the r per cent rate.

The formula of compound interest is as follows,

[tex]A=p(1+\frac{r}{100} )^t[/tex]

Where P is the principal value, A is the amount, r is the rate and t is the time.

Here we have a principal value of £3,500 and a rate is 4.5%.

Now, finding the amount after 2 years by putting the values in the formula of compound interest,

[tex]A=p(1+\frac{r}{100} )^t\\\\A=3500(1+\frac{4.5}{100} )^2\\\\A=3500(1+0.045 )^2\\A=3500(1.045)^2\\A=3500\times1.092025\\A=3882.0875[/tex]

So, After 2 years Josephine will have £3882.9.

Now, finding the amount after 3 years,

[tex]A=p(1+\frac{r}{100} )^t\\\\A=3500(1+\frac{4.5}{100} )^3\\\\A=3500(1+0.045 )^3\\A=3500(1.045)^3\\A=3500\times1.141166125\\A=3994.0814375[/tex]

So, After 3 years Josephine will have £3994.9.

Therefore, After 2 years Josephine will have £3882.9 and after 3 years Josephine will have £3994.9 when 4.5% interest is compounded annually.

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HELPPPPP pleaseeeeeeeeeeeeeeeeeeeee

Answers

3. I’m pretty sure and you selected it

What is the function rule for the line?
f (x) = 2x - 4
f(x)=-4x - 2
f(x) = 4x - 2
f (x)= -2x + 4

Answers

Answer: f (x)= -2x + 4

4. A Bag of marbles has 4 yellow, 5 red, and 1 purple. Create a situation that would satisfy the following:
a) Something that is IMPOSSIBLE to
happen.
b) Something that is EQUALLY
LIKELY to happen.
c) Something that is LIKELY to
happen.

Answers

According to the solving Probability the value are as follows.

a) P(Blue)= 0/10

b) P(Red)= 5/10

c) P(Red or Yellow)= 9/10

What is probability?

The definition of probability is "How likely something is to happen."

Probability is indeed a number ranging from 0 to 1 that expresses the likelihood that an event will take place as specified.

First, 0 P(E) 1 (where P(E) specifies the probability of an event E) and second, the sum of the probabilities of any collection of mutually and exclusive exhaustive occurrences equals 1 are the two characteristics that define a probability.

According to the given data:

We have a Bag of marbles has 4 yellow, 5 red, and 1 purple.

Total balls in a bag= 4+5+1=10 balls.

Something that is IMPOSSIBLE to happen.

P(Blue)= 0/10

Something that is EQUALLY LIKELY to happen.

P(Red)= 5/10

Something that is LIKELY to happen.

P(Red or Yellow)= 9/10

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Which of the following has a graph that is wider than the graph of y = 5x² - 3?
-
y = 8x² - 10
y = 5x² + 2
y=-6x² + 1
y = 3x² + 4

Answers

The equations y = -6x² + 1 and y = 3x² + 4 both have graphs that are wider than the graph of y = 5x² - 3.To determine which equation has a graph wider than the graph of y = 5x² - 3, we need to compare the coefficients of x² in each equation.

A wider graph indicates a smaller coefficient in front of x², which means the parabola will be less steep and have a broader shape.Let's compare the coefficients:y = 8x² - 10: The coefficient is 8, which is larger than 5. Therefore, this equation does not have a wider graph than y = 5x² - 3.

y = 5x² + 2: The coefficient is 5, which is equal to the coefficient in y = 5x² - 3. Therefore, the graphs of these two equations will have the same width.

y = -6x² + 1: The coefficient is -6, which is smaller than 5. Hence, this equation has a wider graph than y = 5x² - 3.

y = 3x² + 4: The coefficient is 3, which is smaller than 5. Hence, this equation also has a wider graph than y = 5x² - 3.

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Alma ran a marathon. The graph shows the distance she ran during the marathon. Use the drop-down menus to complete the statements based on the graph.

Answers

From the proportional relationship graphed, it is found that:

The labeled point means that in 2 hours she ran 16 miles.In 1 hour, Alma ran 8 miles.Her distance changed at a unit rate of 8 miles per hour, so Alma's speed was of 8 miles per hour.If Alma ran faster, the slope of the graph would be greater.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0, meaning that the relationship passes through the origin.

When the two variables x and y are direct proportional, the output variable y is obtained multiplying the input variable x by the constant of proportionality k, according to the rule presented follows:

y = kx.

From point (2,16) in this problem, the constant is given as follows:

k = 16/2 = 8.

Hence the equation is:

y = 8x.

Meaning that her rate is of:

8 miles per hour.

If she ran faster, the slope = constant would increase, as it represents the velocity.

Missing Information

The problem is given by the image at the end of the answer.

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What integer is closest to 4 √5?​

Answers

Answer:

it's decimal value then it is 11.1803399.

The integer close to it is 11

Step-by-step explanation:

let's square this :

4² × 5 = 16 × 5 = 80

the closest squared integer is 81 (9²).

so, the closest integer to 4×sqrt(5) is 9.

lynn bought a new crash cymbal for her drum set. it costs 120$ but she received a 15% student discount. Roger bought the same crash cymbal from another store for$130 but he used a coupon for $25 off. who got the better deal

Answers

lynn got the better deal than Roger.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

lynn bought a new crash cymbal for her drum set. it costs 120$ but she received a 15% student discount.

Convert 15% to decimal form

15%=15/100=0.15

0.15×120=18

So 15% of 120 is 18.

Iynn bought crash cymbal for her drum set is 120-18=102

Roger bought the same crash cymbal from another store for$130

Roger applied coupon of $25.

So 130-25=$105

When we compare both Iynn and Roger, Iynn got the crash cymbal for a better deal.

Hence lynn got the better deal than Roger.

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HELP, ASAP PLEASE. 15 POINTS! ( Only 1 picture is attached)

Answers

The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million

How to find the input values of functions?

We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;

A(h) = -0.06h² + 2h + 4

where h is the time in number of hours after which the concentration is recorded.

Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;

A(4) = -0.06(4²) + 2(4) + 4

A(4) = -0.96 + 12

A(4) = 11.04 parts per million

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1.      research institute reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 4 weeks. Suppose you would like to select a random sample of 50 unemployed individuals for a follow-up study.
a.       What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean of   less than 1 week?
b.       What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean?

Answers

The probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean is 0.92

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

X = N(17.5)

Where μ = 17.5 and σ = 4

Since the distribution for X is normal then, the distribution for the sample mean  is given by:

X = N(17.5, σ/√n)

X =N(17.5.4/√50) = 0.566

We select a sample of n =50 people. And we want to find the following probability

P(16.5 < X < 18.5) = P((16.5 -17.5)/(4/√50) < Z < (16.5 -17.5)/(4/√50) )

And using the normal standard table or excel we find the probability:

P(-1.768 < Z 1.768) = P(Z < 1.768) - P(Z< -1.768) = 0.961 - 0.039 = 0.92

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A+(-7)=-17 I don’t know

Answers

Answer:

a = -10

So your answer is a = -10, I hope this helps!

Step-by-step explanation:

a + (-7) is the same as a - 7, so you could rewrite it as

a - 7 = -17

+ 7

Use the properties of logarithms to rewrite the following expression as a single logarithm. Please see attached pic.

Answers

Answer:

log4 (70)

Step-by-step explanation:

log4(7) + log4(10) = log4(7 * 10 ) = log4(70)

If the original function is f(x)
What would be the function notation when the function was
Shifted Right 6

Answers

The function notation when the function was shifted right 6 is f(x-6).

Given that, the function was shifted right 6 units.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Rule: In function notation, to shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right.

So, the transformation from the original function to new function is

f(x-6)

Therefore, the function notation when the function was shifted right 6 is f(x-6).

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SOMEONE PLEASE HELP!
I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER!! Just Need Help!!!

Answers

HL congruence is correct as you have hypotenuse and other side.
Other Questions
if a cannonball were fired horizontally from a cannon atop a very high mountain what would its trajectory look like Castro asserts that the aggression of the United States could start World War III. How could Castro possibly believe that Cuba could take on the United States? Would they have help? A textbook store sold a combined total of 423 psychology and math textbooks in a week. The number of psychology textbooks sold was two times the number of math textbooks sold. How many textbooks of each type were sold? Whats the answer to : whats dressed in black practices stealth and is a master at espionage,sabatoge and assassination ? You guessed it its a ninja ! the debt to equity and the times interest earned ratios provide investors and creditors with a measure of the market for real estate in chad's area has experienced a sudden increase in demand, and there aren't enough homes to go around. it seems like a bidding war ensues for every available property. what's the condition of the real estate market in chad's area? It is estimated that only around 200,000 Americans have central heterochromia (two different eye colors in the same eye). If the population of the United Stateswas 327,750,000 people at the time of this report, what percent of Americans had central heterochromia?0.0061%0.00061%0.61%0.061% The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 15 minutes and a standard deviation of 4 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 7% of its customers, how long should it make the guaranteed time limit? a.) find the test statistic b.) what is the p-value c.)what is the conclusion about the null hypothesis d.) what is the final conclusion? chewing was the most popular form of tobacco use until about 1900, but by 1920, the most popular form was: 3. what is the probability of drawing four red cards in a row without replacement.out of a standard deck with 52 playing cards describe several sources of uncertainty in estimating the cost of a project as well as strategies you can employ to address uncertainty. what is the sum of all the coefficients in this reaction when properly balanced? lead (ii) nitrate hydrogen sulfide yields lead (ii) sulfide nitric acid (hno3) -3x+16+5x+8 x=?????????? Suppose a bunny farm initally has 20 bunnies. After 2 years the population grew to 80 bunnies.A) Find f(T)=mT+b, where f(T) is the bunny population after every 2 months. Answers must be in Exact Form, Round 3 decimals, and Change of BaseB) What is the bunny population after 16 weeks?C) How many months will it take for the bunny population to reach 300 bunnies? Answers must be in Exact Form, Round 3 decimals, and Change of Base if nirenberg and matthaei performed their cell-free translation experiment using an mrna composed of 60% c and 40% a, what radiolabeled amino acids would be incorporated into the precipitated polypeptides? (check all that apply.) check all that apply phenylalanine phenylalanine leucine leucine isoleucine isoleucine proline proline methionine methionine valine valine serine serine threonine threonine alanine alanine tyrosine tyrosine histidine histidine glutamine glutamine Choose any 2 main characterJohn Proctor, Reverend Parris, Reverend Hale, Abigail Williamsand choose 1 side character in thisMr. and Mrs. Putnam, Rebecca Nurse, Tituba, Ruth Putnam, Betty ParrisAnd Then tell me what role they play if you made The Crucible, today. Like if it was set in Queens. In a high school. What roles would they fill more than half of the ads for wheel of fortune, a game show that is offered to local stations for free or a reduced rate, are presold to national advertisers. which term best describes this situation? In which market model do firms rely on product differentiation to distinguish themselves from the competition?. Johnny lets a 0.5 kg ball roll on the floor of the classroom. The ball gradually slows down. Draw a free body diagram and calculate the acceleration of the ball