I need help please, been stuck on this question.

I Need Help Please, Been Stuck On This Question.

Answers

Answer 1

Answer:

D)     \(\frac{1}{6}\)

g¹(1) =  \(\frac{1}{6}\)

The inverse of the  function   \(g(x) = \frac{x^{\frac{1}{3} }-1 }{2}\)

Step-by-step explanation:

Step(i):-

Given that f(x) = (2x+1)³

 Let  y =  (2x+1)³

       \(y^{\frac{1}{3} } =2x+1\)

      \(2x = y^{\frac{1}{3} } -1\)

       \(x = \frac{y^{\frac{1}{3} }-1 }{2}\)

Step(ii):-

y = f(x) ⇒  x = f⁻¹ (y)

  ⇒ \(f^{-1} (y) = \frac{y^{\frac{1}{3} }-1 }{2}\)

     \(f^{-1} (x) = \frac{x^{\frac{1}{3} }-1 }{2}\)

The inverse of the given function  

        \(g(x) = \frac{x^{\frac{1}{3} }-1 }{2}\)

Differentiating equation (i) with respective to 'x', we get

      \(g^{l} (x) = \frac{1}{2} X \frac{1}{3} x^{\frac{1}{3} -1}\)

     \(g^{l} (x) = \frac{1}{6} x^{\frac{-2}{3} }\)

Final answer:-

Put x=1

  \(g^{l} (1) = \frac{1}{6} 1^{\frac{-2}{3} } = \frac{1}{6}\)

   


Related Questions

Chris bought c tickets to a movie for $8 each. Michele bought m tickets to a movie for $8 each. Which expression can be used to find the total amount Chris and Michele spent for these tickets?

Answers

Answer:

8c+8m

Step-by-step explanation:

c tickets are $8 a piece and m tickets are also $8 a piece. as an expression, the equation is not completed and cannot be completed until we know the value of the missing variables. to find the total, you must add the total amount of tickets Chris bought for 8 dollars and add that to the total of tickets Michele bought for 8 dollars

help because i need to learn this

help because i need to learn this

Answers

Perimeter of square = 4× side

=> 36cm = 4 × side

=> side = 9cm

Now area of a suqare:

= side × side

= 9× 9

=81 cm2

ach ant has 6 legs. How many legs do 3 ants have?
Ants 1 2 3
Legs 6 ?

Answers

Answer:

Step-by-step explanation:

the answer is 18 I think?

Answer:

18

Step-by-step explanation:

6 (legs) x 3 (ants) = 18 legs

It can also be represented as 6+6+6 (18)

hope this helps :)

Please help geometry question Pythagorean theorem

Please help geometry question Pythagorean theorem
Please help geometry question Pythagorean theorem

Answers

Therefore , the solution of the given problem of triangle comes out to be L = 3(√(h²) + ((w/2²))) + 3h .

What is a triangle exactly?

A triangular is a polygon because it has 2 different or more additional parts. It has a straightforward rectangle form. Only the sides A, B, and C can differentiate a triangle from a parallelogram. When the sides are not exactly collinear, Euclidean geometry results in a singular surface rather than a cube. If a shape has three edges and three angles, it is said to be triangular.

Here,

Given the height and breadth of the top of the frame, we can use the Pythagorean theorem to determine the length of each side of the triangle.

Let's assume the height is h feet and the width of the top of the frame is w feet. The triangle's side lengths can then be calculated as follows:

=> s =√((h²) + ((w/2)²))

We must add up the lengths of all the pipe segments that will be used to build the frame in order to determine the total quantity of steel pipe required.

The following formula can be used to determine how much steel tubing is required:

=>  L = 3s + 3h

where h is the height of the frame and s is the length of each edge of the triangle.

Using the method instead of s, we obtain:

=> L = 3(√(h²) + ((w/2²))) + 3h

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Select the correct answer. Which function represents the inverse function of the function f(x)=x^2 +5

Answers

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

-3x+2y=4
5x-3y= 1
X=
Y=

Answers

Answer: For the problem \(-3x+2y=4\), the answer is (look below)

X= \(-\frac{4}{3} +\frac{2y}{3}\)

Y= \(2+\frac{3x}{2}\)

Add \(3x\) to both sides of the equation. 2y = 4 + 3x

Divide each term in 2y = 4 + 3x by 2 and simplify.

For the problem \(5x-3y=1\), the answer is look below)

X= \(\frac{1}{5} +\frac{3y}{5}\)

Y= \(-\frac{1}{3} +\frac{5x}{3}\)

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

Move all terms that don't contain y to the right side and solve.

S7. What is the Least Common Multiple for 12 and 30?
A 6
B. 12
C. 30
D. 60

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. 60

Step-by-step explanation:

(12 * 30) / 6

360 / 6 = 60

Is a parallelogram but not a rectangle

Answers

Answer:

A square

Step-by-step explanation:

A square meets the requirements of a parallelogram.

6 minus twice a number

Answers

Answer:

6-2x

Step-by-step explanation:

Mrs. Moss has five and one fourths pounds of dry dog food she will put an equal amount of food into 3 containers. How much dog food will be in each container?

Answers

Answer:

1 3/4 pounds of food per serving

Mrs. Moss has five and one fourths pounds of dry dog food she will put an equal amount of food into 3

is y=-5/9x proportional

Answers

Answer:

No

Step-by-step explanation:

I don't think it is proportional

Here it is not proportional.

What is proportional?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.

Here given that,

\(y=-\frac{5}{9x}\)

Here it is not proportional.

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Solve the following system of equations with the substitution method:
y=3/5x-15
y=-3/4x+12

Answers

Answer:

x = 20, y = -3

Step-by-step explanation:

Set both equations equal to each other

\(\displaystyle y=\frac{3}{5}x-15\\\\y=-\frac{3}{4}x+12\\\\\\\\\frac{3}{5}x-15=-\frac{3}{4}x+12\\\\\frac{12}{20}x-15=-\frac{15}{20}x+12\\\\\frac{27}{20}x-15=12\\\\\frac{27}{20}x=27\\\\x=20\\\\y=\frac{3}{5}x-15\\\\y=\frac{3}{5}(20)-15\\\\y=\frac{60}{5}-15\\\\y=12-15\\\\y=-3\)

Sully is having a party and wants to fill his swimming pool. If he only uses his hose, it takes 3 hours more than if he only uses his neighbor's hose. If he uses both hoses together, the pool fills in 5 hours. How long does it take for each hose to fill the pool (in hr)?

Answers

Answer:

It takes the neighor's hose 3 hours to fill the pool and it takes Sully's hose 6 hours to fill the pool if each filled alone.

Step-by-step explanation:

This is a work problem, and the way these are done is to figure the amount that each can do based on how much can get done in a single hour.  

First thing, in order to have only one variable, we have to put one hose in terms of the other hose.  

We know that it takes the neighbor's hose a certain amount of time (there's our unknown) to fill the pool and that it takes Sully's hose that same time plus 3 hours.

neighbor's hose can get the job done in x time

Sully's hose can get the job done in x + 3 time

Now we will figure out how much each can do in a single hour.

If the neighbor's hose takes x hours to fill the pool, then it can get

of the pool filled in 1 hour.

If Sully's hose takes x + 3 hours to fill the pool, then it can get

of the pool filled in 1 hour.

The sum of these takes 2 hours total and 1/2 of the pool gets filled in 1 hour.

Our equation then is:

This equation states in words:

"the amount of the pool that the neighbor's hose can fill in an hour plus the amount of the pool that Sully's hose can fill in an hour will fill half the pool".

Solving for x will give us that time.

Begin to solve this by finding the LCM of those denominators and getting rid of the fractions by reducing.  The LCM will be 2x(x + 3).  Multiplying each term by that LCD looks like this:

In the first term the x's cancel out, in the second term the (x + 3) cancels out, and in the last term the 2's cancel out leaving us with:

and simplifying gives us:

This is a quadratic that will have to be factored to solve for those values of x.  Combine like terms and get everything on one side to get:

Factor this however you find easiest to get the values:

x = 3 hours and x = -2 hours

We all know that the 2 things in math that will never EVER be negative are times and distances/measures, so we can disregard the -2 and say that

x = 3 hours.  

To answer our question, then;

It takes the neighbor's hose 3 hours to fill the pool; it takes Sully's hose 3+3 hours = 6 hours to fill the pool.

during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth

during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what

Answers

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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What is 1 + 1 and explain why using irrational numbers

Answers

Answer: 1+1 = Dr. Phill

Step-by-step explanation:

Dr. Phill is the answer for everything, you see, his phillyness is underrated. he has magical wiggly fingers that shine in the sun. he can summon the enderdragon but as a gay drag queen.

therefore, magical wizard, dr. philly pill.

Dan Invests £2500 into his bank account. He receives 5% per year simple interest. How much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Please help me give me the answer:
Explanation:

Answers

Answer:

Sure, I'd be happy to help you with that!

To calculate Dan's earnings with simple interest, we can use the following formula:

I = P * r * t

where:

I = interest earned

P = principal amount (initial investment)

r = interest rate (as a decimal)

t = time period (in years)

We know that Dan invests £2500 and receives 5% simple interest per year, so:

P = £2500

r = 0.05

t = 2 years

Plugging these values into the formula, we get:

I = £2500 * 0.05 * 2

I = £250

This means that Dan will earn £250 in interest over the 2-year period.

To calculate Dan's total earnings, we simply add the interest earned to the initial investment:

Total earnings = £2500 + £250

Total earnings = £2750

Therefore, Dan will have £2750 in his bank account after 2 years.

Use the​ magnitudes, rounded to two decimal​ places, of the 100100 earthquakes included in the accompanying data set to construct a frequency distribution. Use a class width of 0.500.50 and begin with a lower class limit of 0.000.00. Does the frequency distribution appear to be a normal​ distribution? LOADING... Click the icon to view the earthquake magnitudes. Construct the frequency distribution. Magnitude Frequency 0.000.00​-0.490.49 1010 0.500.50​-0.990.99 3333 11​-1.491.49 3535 1.501.50​-1.991.99 1414 22​-2.492.49 66 2.502.50​-3.993.99 22 ​(Type integers or decimals. Do not​ round.) Does the frequency distribution appear to be a normal​ distribution? The frequency distribution could reasonably be a normal distribution because the frequencies start low, increase, and then decrease, and are roughly symmetric.

Answers

Answer:

Step-by-step explanation:

Hello!

To arrange the data in a frequency table you have to determine the class intervals first. Normally you'd choose the number of intervals you want to work with and then calculate the class width by dividing the number ob observations, n, by the number of intervals, then, starting from the minimum value as the lower limit of the first interval, you add the width to calculate the upper interval. For the next interval, you use the upper limit from the previous one and add the width to determine the upper limit, and so on until you reach the desired number of intervals.

For this exercise the width was determined 0.50 and the lower limit for the first interval 0.00:

1st interval: 0.00+0.50= 0.50: [0.00; 0.50)

Then:

[0.50; 1.00)

[1.00; 1.50)

[1.50; 2.00)

[2.00; 2.50)

[2.50; 3.00)

Next is to arrange the data from least to greatest and count how many fit in each interval:

0 , 0,09, 0,18, 0,24, 0,31, 0,36, 0,39, 0,39, 0,41, 0,45, 0,55, 0,55, 0,63, 0,64, 0,64, 0,64, 0,64, 0,64, 0,69, 0,69, 0,71, 0,71, 0,73, 0,74, 0,78 ,0,79, 0,79, 0,79 ,0,83, 0,83, 0,83 , 0,85, 0,89, 0,91, 0,92, 0,92, 0,93,0,94, 0,98, 0,98 ,0,99, 0,99, 0,99,0,99, 1,01, 1,01, 1,01, 1,01, 1,22, 1,23,1,24, 1,24 , 1,24, 1,25 ,1,,25 , ,1,25,1,26 , 1,26, 1,27, 1,28 ,1,31 , 1,33 , 1,34 , 1,34 ,, 1,35, 1,35 , 1,38 , 1,39 , 1,41 , 1,42 , 1,42 , 1,43 , 1,44 , 1,44 , 1,45 , 1,46 , 1,49 , 1,49 , 1,56 , 1,56 , 1,62 , 1,63 , 1,65 , 1,65 , 1,75 , 1,77 , 1,78 , 1,78 , 1,82 , 1,85 , 1,96 , 1,98 , 2,19 , 2,21 , 2,23 , 2,24 , 2,47 , 2,49 , 2,95 , 2,97

See frequency table in attachment alongside with original data.

To check the distribution of the data I've made a QQ-plot with the Normal Quartiles (2nd attachment)

As you can see the Magnitude data is well-adjusted to the theoretical line for the normal distribution, this means that it is most likely that the data has a normal distribution.

I hope this helps!

Use the magnitudes, rounded to two decimal places, of the 100100 earthquakes included in the accompanying
Use the magnitudes, rounded to two decimal places, of the 100100 earthquakes included in the accompanying

The fifth-grade teachers at Washington High School are decorating bulletin boards to get
ready for the new school year. They have 4 large bulletin boards that each need 9 yards of
border. There is also a small bulletin board that only needs 12 feet of border. If border is sold
in 40-foot rolls, how many rolls will the teachers use?

Answers

The teacher will use 3 rolls only to have perfect measurements.

1 yard = 3 feet

4 large bulletin boards are there each needing 9 yards of border.
That means 4 large bulletin boards in total need

9×4 yards of border

= 36 yards of border

= 108 feet of border

Also, there is a small bulletin board that only needs 12 feet border

Hence, in total there is a need for

108 + 12 = 120 feet border.

The border is sold in 40-foot rolls.
Hence, there is a need for 120/40 rolls

i.e. 3 rolls

Hence, the teacher will use 3 rolls only.  

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Answer:

The answer is 3

Step-by-step explanation:

Help pls thank you! It’s math….

Help pls thank you! Its math.

Answers

Answer:

○ \(\displaystyle (2x + 1)(2x - 5) = 0\)

Step-by-step explanation:

Find two quantities that when differed to 8, they also multiply to 20. Those will be 2 and 10. The TINIER quantity gets the plus symbol because the B-value is −8, therefore 10 gets the minus symbol, leaving 2 with the plus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:

\(\displaystyle y = 4x^2 - 8x - 5 \\ \\ y = [4x^2 - 10x] + [2x - 5] \\ \:\:\:\:\:\:\:\:\:\:\:2x[2x - 5]+ 1[2x - 5] \\ \\ \boxed{[2x - 5][2x + 1] = 0}\)

I am joyous to assist you at any time.

hii Question, Why is 2+(-3) equal to -1? Because it is 3 units to the left of 2 on a horizontal number line O Because it is 3 units to the right of 0 on a horizontal number line Because it is 3 units to the left of 0 on a horizontal number line Because it is 3 units to the right of 2 on a horizontal number line​

Answers

2

Step-by-step explanation:

it kinda like subtracting to get your answer

\(hope \: this \: helps\)

Judith has x math problems to do for homework. Harry has 2 times as many problems to do as Judith. Janessa has 10 more math problems to do than Judith. Which expression represents the total number of math problems Judith, Harry, and Janessa have to do all together

Answers

Answer:

4x+10

Step-by-step explanation:

Judith= x

Harry = 2x

Janessa= x+10

expression in total= x+2x+x+10 = 4x+10

Judith: x
Harry: 2x
Janessa: x + 10

x + 2x + x + 10
= 4x + 10

List the sample space for rolling a fair 12-sided die.

S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {1}
S = {12}

Answers

The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

What is sample space?

Sample space is a set of all possible outcomes of an experiment or random event. It is the collection of all possible results or outcomes that can occur when a particular event is performed.

In the given question,

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a fair 12-sided die. The sample space would include all possible values that the die can land on when rolled.

Since a 12-sided die has 12 equally likely outcomes, the sample space would consist of the numbers 1 through 12. However, only one of the options presented in the question includes all 12 numbers in the sample space, which is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Option S = {1, 2, 3, 4, 5, 6} represents the sample space of a regular 6-sided die, while options S = {1} and S = {12} only include one possible outcome, which is not applicable for a 12-sided die.

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awnser step. by step

awnser step. by step

Answers

Answer:

2.25

Step-by-step explanation:

answer will be 2.25....

awnser step. by step

PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80

Answers

If a supposed number is n (say) then the consecutive number is n+1
If u add them n+(n+1) you get 157
So,
n+n+1=157
2n=156
n=78

What the meaning of statement this?

What the meaning of statement this?
What the meaning of statement this?

Answers

The proof demonstrates that given a well-ordered set W, an isomorphic ordinal can be found using the function F. The uniqueness of this ordinal is established using the Replacement Axioms. The set F(W) is shown to exist for each x in W, and if the least F(W) exists, it serves as an isomorphism of VV onto -y.

Lemma 2.7: This is a previously stated lemma that is referenced in the proof. Unfortunately, without the specific details of Lemma 2.7, it's difficult to provide further explanation for its role in the proof.

Well-ordered set W: A well-ordered set is a set where every non-empty subset has a least element. In this proof, W is assumed to be a well-ordered set.

Isomorphic ordinal: An ordinal is a mathematical concept that extends the notion of natural numbers to represent order and magnitude. An isomorphic ordinal refers to an ordinal that has a one-to-one correspondence or mapping with another ordinal, preserving their order and magnitude properties.

Function F: The function F is defined to assign an ordinal o to each element x in W. This means that for every x in W, there is a corresponding ordinal o.

Existence and uniqueness: The proof asserts that if there exists an ordinal o that is isomorphic to a specific initial segment of the ordinal VV (the set of all ordinals), then this ordinal o is unique. In other words, there is only one ordinal that can be mapped to the initial segment of VV given by x.

Replacement Axioms: The Replacement Axioms are principles in set theory that allow the construction of new sets based on existing ones. In this case, the Replacement Axioms are used to assert that the set F(W) exists, which is the collection of all ordinals that can be assigned to elements of W.

For each x in W: The proof states that for every x in W, there exists an ordinal o that can be assigned to it. If there is no such ordinal, the proof suggests considering the least x for which such an ordinal does not exist.

The least F(W): The proof introduces the concept of the least element in the set F(W), denoted as the least F(W). If this least element exists, it serves as an isomorphism (a one-to-one mapping) of the set of all ordinals VV onto the ordinal -y.

Overall, the proof outlines the existence and uniqueness of an isomorphic ordinal that can be obtained from a well-ordered set W using the function F, and it relies on the Replacement Axioms and the concept of least element to establish this result.

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Which of the following is a rational number?

A) -19

B) √17

C)

D) √33

Which of the following is a rational number?A) -19B) 17C) D) 33

Answers

Answer:

A

Step-by-step explanation:

Rational numbers have an ending decimal expansion. If you put the other numbers into a calculator you will se that there is just more numbers after the decimal point

What is the radius and diameter of the following circle?
Radius = cm
diameter= cm

What is the radius and diameter of the following circle?Radius = cmdiameter= cm

Answers

The value of diameter and radius of circle is 7 cm and 3.5cm.

According to the statement

we have given that the a figure of circle and we have to find the radius and the diameter of the circle.

So, We know that the

The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.

Here from the figure it is clear that the

Diameter of circle = 7cm

and the radius of circle we have to find

So,

Radius of circle = Diameter /2

Substitute the values in it then

Radius of circle = 7cm /2

Radius of circle = 3.5 cm.

So, The value of diameter and radius of circle is 7 cm and 3.5cm.

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find the first derivative with respect to x of the following function: f(x)=(7x+3)(4-3x)

Answers

Answer:

19 - 42x

Step-by-step explanation:

To differentiate this, we must use the product rule
f'(x) = (7x+3)'(4-3x) + (4-3x)'(7x+3)
= (7)(4-3x) + (-3)(7x+3)
= 28 - 21x - 21x - 9
= 19 - 42x

please help me asap

please help me asap

Answers

Step-by-step explanation:

4/sin45=

\(4 \sqrt{2} \)

How can you find 75% of any number?

Answers

Answer:

Multiply the number by 0.75

Step-by-step explanation:

75% of a number is also a number * 75/100

Now 75/100=3/4 so 75% of a number is the number *3/4.

So to find 75% of any number, you just multiply it by 3 and divide it by 4.

Other Questions
HELP!! I dont know what the answer is To prevent poisoning, what three items should NEVER be taken into the lab? The matrixA=[42 45]has an eigenvalue=4. Find an eigenvector for this eigenvalue. Note: You should solve the following problem WITHOUT computing all eigenvalues. The matrixB=[2 1 12]has an eigenvectorv=[22]. Find the eigenvalue for this eigenvector.= ___ After the Civil War, most former slaves made a living as --RanchersCowboysSharecroppersRailroad porters The algebraic rules below show the cost, C, for printing n school yearbooks for two different companies,Speedy Printers: C = 29n On-time Printers: C = 100 +25nIf the number of yearbooks ordered is doubled, will the cost double? Provide an answer and justification for eachcompany The statement below are from the 1776 Virginia Declaration of Rights. "1) that in all capital or criminal prosecutions a man hath a right to demand... Evidence in his favor, and to a speedy trial by an impartial jury... 2)That legislative, executive, and judiciary department shall be separated and distinct... 3) That the freedom of the press is one of the great bulwarks of liberty, and can never be restrained..... 4) That well-regulated militia, composed of the body of the people, trained to arms, is the proper, natural, and safe defense of a free state.... Which statement guarantees a right first granted by the Magna Carta? What is the mean? If the answer is a decimal, round it to the nearest tenth.-4 1 4 -14 -1 -2 -6 3-5-8 The mass ratio of H:S:O in sulfuric acid today is 1:8:32. Predict the mass ratio of sulfuric acid in 23th century. True or false: The capacity to explore one's identity during adolescence and emerging adulthood is linked to the quality of friendships and romantic relationships. True false question. Which of the following are true of the margin of error for a single population proportion?1.Multiply the margin of error by z* to get the standard error.2.The margin of error is a calculation that describes the error introduced into a study when the sample isn't truly random. 3.The margin of error describes a possible random sampling error that occurs within truly random samples. The government of Athens was different from that of most Greek city-states because it: O A. let the military make all important decisions. 0 B. gave many men the right to vote on laws. O C. gave women the chance to serve as leaders. D. did not allow any type of slavery. Which equation represents the relationship between x and y? The Hubble Space Telescope (HST) orbits 569 km above Earth's surface. If HST has a tangential speed of 7,750m/s, how long is HST's orbital period? The radius of Earth is 6.38 x 106m. Make sure to use correct significantfigures. Which statement describes one feature of a mineral's definite chemical composition?It always occurs in pure form.It always contains certain elements.It cannot form from living or once-living materials.It cannot contain atoms from more than one element. A number cube with sides numbered 1 through 6 is rolled 60 times. The cube lands on three 15 times. Based on thisresult, if the cube was rolled 500 times, approximately how many times would the number cube land on three?A 75 timesB 100 timesC 125 timesD 150 times 1 ) Coping skills families use to survive crises are ___.A. neither accepting support of friends and family or joining professional support groupsB. accepting support of friends and familyC. joining professional support groupsD. accepting support of friends and family and joining professional support groups2. ) What causes a family crisis?A. deathB. serious illnessC. accidentD. all of these MARKING POEPLE AS BRIANLIST ALL DAY if you answer the question and it is right thank u __________ privileges refers to the free use of the mails enjoyed by members of congress. After preparing a smear on a slide,the immediate following step would be to _________________. The diameter of circle is 4cm. Determine the are of the circle.