100 Quick and EASY POINTS to make if you can help me!
Rules are:
You HAVE to answer it with proof
Dont put things like "I need more steps" just to get points
Or i WILL report you and you will lose the points
And If ya get it wrong when i turn it in, I will delete your answer because i dont want other ppl with wrong answers
IF YOU SEE A PERSON ALREADY ANSWERED, DONT ANSWER IT.
these are the simple rules if you dont wanna get banned :>
Peace

100 Quick And EASY POINTS To Make If You Can Help Me!Rules Are:You HAVE To Answer It With ProofDont Put

Answers

Answer 1

Answer:

\(x=125\)

Step-by-step explanation:

We have the equation:

\(\displaystyle \log_2{24}-\log_2{3}=\log_5x\)

And we want to find the real value of x.

First, we can use the Quotient Property of Logarithms, which states:

\(\displaystyle \log_ba-\log_bc=\log_b{\frac{a}{c}\)

Therefore, we can rewrite our left-hand side as:

\(\displaystyle \Rightarrow \log_2{\frac{24}{3}}=\log_5x\)

Divide:

\(\log_28=\log_5x\)

Evaluate the left-hand side (2³=8).

\(3=\log_5x\)

By the definition of a logarithm, this means that:

\(5^3=x\)

Evaluate:

\(x=125\)

Our final answer is 125.

Answer 2

Answer:

x=125

Step-by-step explanation:

x>0, x=125

\(log_{2} 8 = log_{5} x\\log_{2}2^{3} = log_{5} x\\3=log_{5} x\\log_{5} x=3\\x=5^{3} \\x=125\)


Related Questions

find the 3x3 matrix that corresponds to the composite transformation of a scaling by 2, a rotation of 90o about the origin

Answers

The 3x3 matrix after composite transformation of scaling by 2, a rotation of 90° about origin is \(\left[\begin{array}{ccc}2c&2d&2i\\2b&2e&2h\\2a&2d&2g\end{array}\right]\).

Let A=\(\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\) be a 3x3 matrix

scaling the matrix A by 2 then  the result will be

\(2A=2\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\\\\=\left[\begin{array}{ccc}2a&2b&2c\\2d&2e&2f\\2g&2h&2i\end{array}\right]\)

now, rotating the resultant matrix by 90° in counterclockwise direction about the origin, we get

\(=\left[\begin{array}{ccc}2c&2d&2i\\2b&2e&2h\\2a&2d&2g\end{array}\right]\)

Thus, a 3x3 matrix after composite transformation of scaling by 2, a rotation of 90° about origin is \(\left[\begin{array}{ccc}2c&2d&2i\\2b&2e&2h\\2a&2d&2g\end{array}\right]\)

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A swim instructor would like to test the effect of a new swim technique versus the standard technique for a group of 25 competitive swimmers.
The swim instructor divides the students by class (junior or senior), and then randomly allocates half of the 14 juniors and 5 of the 11 seniors to receive instruction on the new technique.
During swim practice, the instructor times the juniors as they race against each other to see if those who learned the new technique outperform their peers. The instructor does the same for the seniors.
At the end of practice, the instructor compares the average swim time for both juniors and seniors among those who did and did not use the new technique.

What type of experimental design did the instructor use?

A) matched pairs experimental design
B) completely randomized experimental design
C) randomized block experimental design
D) none (observational study only)

Answers

C) randomized block experimental design.

What type of experimental design did the instructor use?The swim instructor used a randomized block experimental design for their experiment.This type of experimental design involves dividing the participants into groups (in this case, juniors and seniors) and then randomly allocating half of each group to receive instruction on the new technique.This helps to control for any potential confounding variables, such as age, that could affect the results of the experiment.By comparing the average swim time for both juniors and seniors among those who did and did not use the new technique, the instructor can determine if the new technique has an effect on swim performance.This type of experimental design is often used when the experimenter wants to compare the effects of a treatment or intervention between two or more groups with similar characteristics.

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Answer:c

Step-by-step explanation:


9. a) In a school of 800 students, 5/8 are boys and rest girls.

1) Find the number of boys and girls.
2) Find the percentage of boys and girls.​

Answers

A.) we know,

=》

\( \dfrac{5}{8} \: \: of \: total \: students \: = boys\)

=》

\( \dfrac{5}{8} \times 800 \)

=》

\(5 \times 100\)

=》

\(500 \: \: boys\)

now,

number of girls :

=》

\(800 - 500\)

=》

\(300 \: girls\)

9. a) In a school of 800 students, 5/8 are boys and rest girls.1) Find the number of boys and girls.2)

Answer:

There are 500 boys and 800 girls

I hope it helps

have a nice day

좋은 하루 되세요

# 캡틴 파워

#Captainpower

22. Dante rides his bicycle due west at 10 miles per hour. Annie rides her bicycle due north
at 12.5 miles per hour. If they both leave Annie's house at the same time, approximately
how far apart, in miles, are they after 4 hours?
A
16
B.
23
C. 64
D. 90

Answers

C in my opinion
#CarryOnLearning

Plz slove if you can!

Can you find x?

Plz slove if you can!Can you find x?

Answers

x is 19

hope this helpssssssssss

Answer:

x=19 degree

2x=2*19

=38 degree

Step-by-step explanation:

Use the Distributive Property to simplify the expression 2(x + 12)

Answers

Answer:

2x + 24

If they want you to completely simplify and solve foe x it would be x = 12

Step-by-step explanation:

Answer:

2x+24

Step-by-step explanation:

2(x+12)

Multiply both x and 12 by 2.

(2*x)+(2*12)

2x+24

in your class there are 48 student; 32 students are female. approximately what percentage is male?

Answers

Answer:

33.33%

----------------

Number of male is the difference of total and female:

48 - 32 = 16

Percentage of male:

16/48 × 100% = 1/3 × 100% = 33.33%

Answer:

33.33%

Step-by-step explanation:

First, let us find the number of male students.

Total students = Male students + Female students

Male students = Total students - Female students

Male students = 48 - 32

Male students = 16

Then, let us find the percentage of males.

\(\sf Percentage\:of\: males=\dfrac{No.\:of\:males}{Total\:number\:of\:students} *100\\\\\sf Percentage\:of\: males=\dfrac{16}{48} *100\\\\\sf Percentage\:of\: males=0.3333 *100\\\\\sf Percentage\:of\: males=33.33\)

Solve the following proportion for x 7/8=x/9 round Your Answer to the nearest tenth

Answers

The value of the x is 7.9

What is proportion?

Two ratios are set to be equal in an equation called a proportion.

Given,    \(\frac{7}{8} = \frac{x}{9}\)

or, 8x = 9*7

or, 8x = 63

or, x = 63/8

or, x = 7.875 = 7.9 (rounded to the nearest tenth)

Therefore, the required value of x is 7.9

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You toss a coin, what is the probability of having 5 heads in a row? 1/64 O 1/8 O 1/4 O 1/32 O 1/16

Answers

Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

how do you determine which actual parameter (argument) to assign to each formal parameter? group of answer choices the names of the formal parameters must match. the order of the parameters indicates how they are assigned. you can only pass only one parameter to a function. you must manually assign each parameter at the beginning of the function.

Answers

The actual parameter (argument) to assign to each formal parameter is the order of the parameters indicates how they are assigned (option b).

The answer choice that determines which actual parameter (argument) to assign to each formal parameter depends on the programming language and the function definition.

Answer choice (b) is generally correct: the order of the parameters indicates how they are assigned. In many programming languages, the parameters are assigned in the order they appear in the function definition. When calling the function, you pass the actual arguments in the corresponding order.

Answer choice (a) is not always true. While some programming languages require the names of the formal parameters to match the names of the actual arguments, others may allow different names as long as the order is maintained.

Answer choice (c) is incorrect. Functions can accept multiple parameters, not just one.

Answer choice (d) is also incorrect. In most programming languages, you don't need to manually assign each parameter at the beginning of the function. The assignment is handled automatically when the function is called with the appropriate arguments.

So, the most accurate answer is (b) - the order of the parameters indicates how they are assigned.

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-- The given question is incomplete, the complete question is

"How do you determine which actual parameter (argument) to assign to each formal parameter?

a. the names of the formal parameters must match.

b. the order of the parameters indicates how they are assigned.

c. you can only pass only one parameter to a function.

d. you must manually assign each parameter at the beginning of the function." --

________________________________

________________________________

Answers

234.4 .zmmansbdhdgdgddhdhdd

Answer:

\(t \: = \: 36.86 \: hrs.\)

Step-by-step explanation:

\(if \: A = p(2) {}^{ \frac{t}{3} } \: then \: \frac{t}{3} \: = log_{2}( \frac{A}{p} ) \\ so \: \frac{t}{3} = log_{2}( \frac{1.0 \times {10}^{6} }{2.0 \times {10}^{2} } ) = \\ \frac{t}{3} = 12.2877 \: hence \: t \: is \: 12.2877 * 3 = 36.8631 \)

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

oK so:

your slope formula is y = mx + b

m= slope

b= y intercept

              knowing this---->

y= 1/3x +b

      to find b, you must plug in the given point to your formula: (3,1)

1 = 1/3(3) + b     <--- solve b

b = 0                (1/3*3) = 1    ----->  move the 1 to the left by subtracting and you

                                                     get 0 for b.

your slope formula for the question is:       y = 1/3x

use this new formula and plug in each answer choice; if both sides equal to each other, that is your answer!

     first choice:  (9,3)                   3 = 1/3(9)      

                                                                    true!

     second choice:  (2,0)              0 = 1/3(2)

                                                                    false!

      third choice:  (4,2)                    2 = 1/3(4)

                                                                     false!

      fourth choice:  (4,4)                   4 = 1/3(4)

                                                                    false!

therefore your final answer is (9,3)

hope this helpsss

       

An airplane flies at a constant speed of 760 miles per hour. How long will it take to travel a distance of 3040 miles?

Answers

Answer:

760x=3040, 3040/760=4

answer=4

Step-by-step explanation:

Sorry if you can see the numbers the options are a,b,c and d​

Sorry if you can see the numbers the options are a,b,c and d

Answers

A is the correct answer to it.

The slope of it is 5/1 and if you start at -3 as that is your Y-intercept, the values add up

Write the expression for the perimeter of the rectangle

Perimeter=

If the perimeter of the rectangle is 120 inches, what is the value of x?
x= inches

Write the expression for the perimeter of the rectanglePerimeter=If the perimeter of the rectangle is

Answers

Answer:

perimeter = 2(x + 5)

this is 2x + 10

x = 55 inches

Step-by-step explanation:

this question is a bit weird because they didn't put the units for 5, so I'm assuming it's in inches...

the perimeter of a rectangle will have two of each, so we can put the 2 outside the bracket since it applies to everything. We have x and we have 5 so put those in the bracket with a plus sign because you add when you're calculating the perimeter.

5 + 5 = 10

120 - 10 = 110 inches (this is 2x)

110 ÷ 2 = 55 inches

The International Space Station has 328 experiments in 15 different labs. What is the unit rate that
represents the amount of experiments in each lab? Round your answer to the nearest tenth.
a) 328 experiments per 15 labs
b) 21.8 experiments per lab
c) 49.2 experiments per lab
d) 21.9 experiments per lab

Answers

328 / 15 = 21.866
Rounded to nearest tenth is 21.9
So d.

Using the table, evaluate g(f(4))=?

A. 1
B.7
C.3
D.6

Using the table, evaluate g(f(4))=?A. 1B.7C.3D.6

Answers

Answer:

Step-by-step explanation:

f(4)= 1

g(1) = 3

answer is 3

solve for x.
-4 (6 - x) + 4 = 4x - 20

Answers

Answer:

− 4 = ( 6 − x) + 4 = 4 x − 20 = x = 6 i think this is right

Step-by-step explanation:

Answer:

x can be all real numbers

Step-by-step explanation:

-4 (6 - x) + 4 = 4x - 20

-24+4x+4=4x-20

4x-4x=-20+24-4

0=0

what would be examined by determining how many students met the cutoff score and how many did not meet the cutoff score for a test on day 1 and again on day 2?

Answers

The appropriate test statistic for comparing the number of students who met or did not meet a cutoff score on two different days would be the McNamar's test.

McNamar's test is a statistical test used to compare paired proportions or counts of dichotomous data.

In this case, the paired proportions would be the number of students who met or did not meet the cutoff score on day 1 and day 2.

The test statistic for McNamar's test is the chi-square statistic, calculated using the following formula,

X² = ((b-c)²) / (b + c)

where b is the number of students who met the cutoff score on day 1 but not day 2,

And c is the number of students who did not meet the cutoff score on day 1 but did meet the cutoff score on day 2.

The chi-square statistic follows a chi-square distribution with 1 degree of freedom.

A p-value can be calculated based on this distribution to determine if there is a statistically significant difference between the paired proportions.

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The above question is incomplete, the complete question is:

What test statistic would be examined by determining how many students met the cutoff score and how many did not meet the cutoff score for a test on day 1 and again on day 2?

5. Compute the volume and surface area of the solid obtained by rotating the area enclosed by the graphs of \( f(x)=-x+4 \) and \( g(x)=x^{2}-x+3 \) about the line \( x=4 \).

Answers

The surface area of the solid obtained by rotating the area enclosed by the graphs of \(\( f(x)=-x+4 \) and \( g(x)=x^{2}-x+3 \)\)about the line x = 4 is 67π/3.

The graphs of the two functions are shown below: graph{x^2-x+3 [-5, 5, -2.5, 8]--x+4 [-5, 5, -2.5, 8]}Notice that the two graphs intersect at x = 2 and x = 3. The line of rotation is x = 4. We need to consider the portion of the curves from x = 2 to x = 3.

To find the volume of the solid of revolution, we can use the formula:\($$V = \pi \int_a^b R^2dx,$$\) where R is the distance from the line of rotation to the curve at a given x-value. We can express this distance in terms of x as follows: R = |4 - x|.

Since the line of rotation is x = 4, the distance from the line of rotation to any point on the curve will be |4 - x|. We can thus write the formula for the volume of the solid of revolution as\(:$$V = \pi \int_2^3 |4 - x|^2 dx.$$\)

Squaring |4 - x| gives us:(4 - x)² = x² - 8x + 16. So the integral becomes:\($$V = \pi \int_2^3 (x^2 - 8x + 16) dx.$$\)

Evaluating the integral, we get\(:$$V = \pi \left[ \frac{x^3}{3} - 4x^2 + 16x \right]_2^3 = \frac{11\pi}{3}.$$\)

Therefore, the volume of the solid obtained by rotating the area enclosed by the graphs of \(\( f(x)=-x+4 \) and \( g(x)=x^{2}-x+3 \)\) about the line x = 4 is 11π/3.

The formula for the surface area of a solid of revolution is given by:\($$S = 2\pi \int_a^b R \sqrt{1 + \left( \frac{dy}{dx} \right)^2} dx,$$\) where R is the distance from the line of rotation to the curve at a given x-value, and dy/dx is the derivative of the curve with respect to x. We can again express R as |4 - x|. The derivative of f(x) is -1, and the derivative of g(x) is 2x - 1.

Thus, we can write the formula for the surface area of the solid of revolution as:\($$S = 2\pi \int_2^3 |4 - x| \sqrt{1 + \left( \frac{dy}{dx} \right)^2} dx.$$\)

Evaluating the derivative of g(x), we get:\($$\frac{dy}{dx} = 2x - 1.$$\)

Substituting this into the surface area formula and simplifying, we get:\($$S = 2\pi \int_2^3 |4 - x| \sqrt{1 + (2x - 1)^2} dx.$$\)

Squaring 2x - 1 gives us:(2x - 1)² = 4x² - 4x + 1. So the square root simplifies to\(:$$\sqrt{1 + (2x - 1)^2} = \sqrt{4x² - 4x + 2}.$$\)

The integral thus becomes:\($$S = 2\pi \int_2^3 |4 - x| \sqrt{4x² - 4x + 2} dx.$$\)

To evaluate this integral, we will break it into two parts. When x < 4, we have:\($$S = 2\pi \int_2^3 (4 - x) \sqrt{4x² - 4x + 2} dx.$$\)

When x > 4, we have:\($$S = 2\pi \int_2^3 (x - 4) \sqrt{4x² - 4x + 2} dx.$$\)

We can simplify the expressions under the square root by completing the square:\($$4x² - 4x + 2 = 4(x² - x + \frac{1}{2}) + 1.$$\)

Differentiating u with respect to x gives us:\($$\frac{du}{dx} = 2x - 1.$$\)We can thus rewrite the surface area formula as:\($$S = 2\pi \int_2^3 |4 - x| \sqrt{4u + 1} \frac{du}{dx} dx.\)

Evaluating these integrals, we get\(:$$S = \frac{67\pi}{3}.$$\)

Therefore, the surface area of the solid obtained by rotating the area enclosed by the graphs of \(\( f(x)=-x+4 \) and \( g(x)=x^{2}-x+3 \)\)about the line x = 4 is 67π/3.

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which two parent trigonometric functions have a period of π and a range that consists of the set of all real numbers? (select all that apply.)
a. sine
b. cosine
c. tangent
d. cosecant
e. secant
f. cotangent

Answers

The cosecant, secant, and cotangent functions are defined as the reciprocals of the sine, cosine, and tangent functions, respectively which have two parent trigonometric functions have a period of π and a range that consists of the set of all real numbers.

These functions also have a period of and their ranges depend on the range of the corresponding parent function.

Therefore, correct answer will be a. sine, b. cosine and c. tangent.

The trigonometric functions are mathematical functions used to describe relationships involving lengths and angles of triangles. These functions include sine, cosine, tangent, cosecant, secant, and cotangent. Each of these functions has its own unique properties, including period and range.

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if team a is the underdog in playing team b and has probability 1/3 of winning every game it plays against team b. what is the probability that it wins the best-of-five series over team b?

Answers

The probability that Team A wins the best-of-five series over Team B is 17/81.

To determine the probability that Team A wins the best-of-five series against Team B, we need to consider the different possible outcomes. Team A can win the series by winning 3 games or 4 games or 5 games.

The probability of winning exactly 3 games out of 5 can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

where n is the total number of games (5 in this case), k is the number of games won (3 in this case), and p is the probability of winning a single game (1/3).

Using this formula, we can calculate the probability of winning 3 games, 4 games, and 5 games, and then add them together to get the overall probability of winning the series.

P(Winning series) = P(X = 3) + P(X = 4) + P(X = 5)

= C(5, 3) * \((1/3)^3\)* \((2/3)^2\)+ C(5, 4) *\((1/3)^4\) * (2/3) + C(5, 5) * \((1/3)^5\)

= (10 * 1/27 * 4/9) + (5 * 1/81 * 2/3) + (1 * 1/243)

= 40/243 + 10/243 + 1/243

= 51/243

= 17/81

Therefore, the probability that Team A wins the best-of-five series over Team B is 17/81.

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what is the distance, in units, between (-4,6) and (8,-3)

Answers

Answer:

The distance between those points is 15.

Step-by-step explanation:

1.   (x2-x1) = (8 - -4) = 12

2.   (y2-y1) = (-3 - 6) = -9

3.   (12)^2 + (-9)^2 = 144 + 81 = 225

4.   √225 = 15

5.   15

What would the final cost be
for a trick or treat bucket that
originally costs $3.00 if you
have a coupon for 10% off and
you have to pay tax of 7.5%?

Answers

Answer:

4.73

Step-by-step explanation:

10% is 10

so, you have to multiple 3×.10=.30

3-.30=2.70

2.70×.75 because 7.5% is .75

that is 2.0250 and then you have to add 2.0250 with 2.70 that is 4.7250 and if you round it. It is 4.73

Hope that works

12 points!
What is the answer to 5?

12 points!What is the answer to 5?

Answers

Answer:

B im pretty sure

solve both problems please

solve both problems please

Answers

first one is D and second one is C

please help............​

please help............

Answers

Answer:

2x+14

Step-by-step explanation:

(3/4)x-7.3+(5/4)x+21.3

(3/4+5/4)x+21.3-7.3

2x+14

First identify the angle RELATIONSHIP, then find the measure of the angle indicated in bold.

First identify the angle RELATIONSHIP, then find the measure of the angle indicated in bold.

Answers

Answer:

Same-side interior angles

m∠ = 80°

Step-by-step explanation:

Step 1: Set up equation

x + 85 + x + 105 = 180

Step 2: Combine like terms

2x + 190 = 180

Step 3: Isolate x and solve

2x = -10

x = -5

-5 + 85 = 80°

A sample of size n = 42 is drawn from a population whose standard deviation is o=8.5. Find the margin of error for a 95% confidence interval for u. a. 2.57 b. 1.31 c. 1.49 d. 0.88

Answers

The margin of error for a 95% confidence interval for the population mean is approximately 2.57. So, correct option is A.

To find the margin of error for a 95% confidence interval for the population mean (μ), we can use the formula:

Margin of Error = Z * (σ / √n),

where Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

For a 95% confidence interval, the corresponding z-score is approximately 1.96 (obtained from the standard normal distribution table).

Plugging in the values, we have:

Margin of Error = 1.96 * (8.5 / √42).

Calculating this expression, we find:

Margin of Error ≈ 2.57.

The correct answer is option a) 2.57.

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Points found in Quadrant III have

Answers

Answer:

Both x and y-coordinate are negative.

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I need help doing my homework Tony rented a truck for one day. There was a base fee of $15.95, and there was an additional charge of 92 cents for each mile driven. Tony had to pay $160.39 when he returned the truck. For how many miles did he drive the truck? how was levi stratus able to improvw his product plzzzzzz HELPP Someone please help me with this one, I don't want to get it wrong! The Oliver Company plans to market a new dish washing detergent. The selling price will be $4per container. Variable costs are estimated to be 46% of the selling price. Fixed costs areestimated to be $6,115. What is the break-even point? That is, how many containers of thedetergent the company must sell in order to end up with no loss and no profit in its operations?(Round your final answer to the nearest whole number). Cary is very upset about a low grade recently received for a big assignment, and intends to email the instructor expressing their frustration. Complete Cary's email by selecting the best practice options from each drop-down menu. Subject: Instructor Davis, I viewed my grade for the assignment and am with the grade I received. that you to meet with me to discuss my work Average heart rate (in beats per minute) is given by the following formula: Heart Rate=(220Age)70 K:a.) Enter a formula in the output cell that computes the Heart Rate (beats per minute) for a given input of Age. Test your formula for an 18 year old who should have a heart rate of141.4beats per minute. b.) Create a Table of values, separate from the input/output cells in part a, for Meart fiate as a function of Age. c.) Create a well fabeled chart of this table from part b. Point P is located at (3, 2). P is reflected across the x-axis to create P'. What quadrant is P' in? Could someone help me out? I don't get it What leadership styles would you use to describe Carlos Slim Helu? subtract 2w+4 from 2w-6 show your work the legislative actions considered during the 84th legislature are an example of which stage of the policymaking process? Where does most of the carbon, C, in the sugar beet come from One version of quicksort is where we keep picking a pivot until we find one that is in the "middle half" of the arraythat is one of the results in a partition where the smaller side has atleast n/4 items. The probability of finding such a pivot is 1/2. Thus the expected number of times we have to pick. Pivot until we find an acceptable one is 2. Suppose we revise our pivot picking strategy as follows: pick 3 numbers from the array uniformly (with replacement), sort the 3 numbers and use the middle of the 3 as the pivot. What is the probability that our chosen pivot item is in the "middle half"? What is the expected number of times that we have to pick in this manner until we find one that is in the "middle half" Show your work. A runner is compared with the world record holder during a race. A negative number means the runner is ahead of the time of the world record holder. A positive number means the runner is behind the time of world record holder. The table shows the time difference between the runner and the world record holder for each lap. What time difference does the runner need for the 4th lap to match world record? Lap 1 time difference is -1.23, lap 2 time difference is 0.45, lap 3 time difference 0.18. Lap 4 is unknowns Anna Litical analyzes the force between a planet and its moon, varying the mass ofthe moon and the distance between the moon and the planet. Her data is shownbelow. Which force ranking is consistant with Anna's data?Trial Mmoon (kg)16 x 102226 x 102233 x 1022d (km)350070007000Trial 3 is the largest, trial 1 is the smallestTrial 3 is the largest, trial 2 is the smallestO Trial 1 is the largest, trial 3 is the smallestTrial 1 is the largest, trial 2 is the smallest NATIONWhich of the following statements are true? Check all that apply. The regulated steps of glycolysis in intact cells can be identified by studying the catabolism of glucose in whole tissues or organs. For example, the glucose consumption by heart muscle can be measured by artificially circulating blood through an isolated intact heart and measuring the concentration of glucose before and after the blood passes through the heart. If the circulating blood is deoxygenated, heart muscle consumes glucose at a steady rate. When oxygen is added to the blood, the rate of glucose consumption drops dramatically, then is maintained at a new, lower rate. Required:Why does the heart consume glucose at a lower rate when it is resupplied with oxygenated blood? what is the relation between the current through the resistor and the voltage drop across the resistor The image below shows a section of DNA and the protein it produces.geneADIMD-proteinWhat is the relationship between the structure of the DNA and the protein in the image?OA. The sugar-phosphate backbone in the DNA contains the instructions for making the protein.OB.The sequence of nucleotides in the DNA specifies the sequence of amino acids in the protein.OC.The hydrogen bonds in the DNA dictate the types of bonds that form in the protein.OD. The carbohydrates in the DNA determine which lipids are inserted to make the protein. The molar specific heat of many materials at low temperatures is found to obey the Debye law cv=A[T/]3 where A is a constant equal to 1.94103 J mol1 K1 and with the Debye temperature takin g different values for different materials. For diamond, it is 1860 K. a. Evaluate cr at 20 K and 100 K b. How much heat is required to heat one mole of diamond between 20 K and 100 K ? c. What is the average molar specific heat in this range? You set two poles upright on the surface of the moon that are spaced 1,000 km apart. One person stands at each pole and, at precisely noon, you each measure the angle of the shadow made by the pole. At one pole the shadow makes a 22.5 degree shadow, and at the other pole there is no shadow because the star of this system is directly overhead. What is the circumference of this alien moon