can somebody help me with number 26 please? Giving brainliest!!

Can Somebody Help Me With Number 26 Please? Giving Brainliest!!

Answers

Answer 1

Answer:

Ans 26

Step-by-step explanation:

F(x) = x/2

proof:

at x=0, f(x)=0

at x= -2 , f(x) = -1

and x = -4 , f(x) = -2

that's it.


Related Questions

Harold’s balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 years, the balance of the account was $11,875. If Harold did not make any additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?

Answers

Answer: 625

Step-by-step explanation: 1875/3=625

Graph the function. Thank you ​

Graph the function. Thank you

Answers

Answer:

Step-by-step explanation:

f(x) = -2x

x   &    f(x)

-2  is  4

-1   is  2

0   is   0

1    is  -2

2   is  -4

f(x)=-2x-4

x   &    f(x)

-2  is  0

-1   is  -2

0   is   -4

1    is  -6

2   is  -8

Which side is Pythagorean Theorem?​

Which side is Pythagorean Theorem?

Answers

Answer:

B

Step-by-step explanation:

A^2+B^2=C^2


Solve this linear equation for x: 7 + 4 (5/4x - 1) = 18

Solve this linear equation for x: 7 + 4 (5/4x - 1) = 18

Answers

Answer:

x=3

Step-by-step explanation:

7+4(5/4x-1)=18

7+5x-4=18

3+5x=18

5x=15

x=3

Answer:

x = 3

Step-by-step explanation:

18 = 7 + 4(\(\frac{5}{4}\)x - 1)

18 = 7 + 5x - 4

18 = 3 + 5x

15 = 5x

x = 3

jill and joel wrote equations for the line passing through the points (2,-1) and (-1,14). which student is correctJill 5x + y = 9Joel y + 1 = -5(x-2)a. jill only b. joel only c. both d. neither

Answers

The equation given by Jill and Joel both are correct. Option C .

The line passing through the points (2, -1) and (-1, 14).

The equation of a line passing through a point \((x_1, y_1)\) is \(y-y_1=m (x-x_1)\) where m is the slope.

To find the slope m, using slope formula.

\(m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{14-(-1)}{-1-3} \\m=-5\)

Further simplify,

Substitute the values in the given formula.

\(y-y_1=m(x-x_1)\\y-(-1)=-5(x-2)\\y+1=-5(x-2)\)

Further simplify,

5x+y=9

Both the equations are correct.

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a produce company packages presliced celery and carrots. let x represent the length of a slice of celery, and let y represent the length of a slice of carrot. x and y are independent events. the mean of x is 2.5 inches with a standard deviation of 0.6 inches, and the mean of y is 2.25 inches with a standard deviation of 0.4 inches. what is the mean and standard deviation of the difference, d

Answers

For two independent random variable - x and y, where the mean and standard deviation of x is 2.5in and 0.6in respectively and of y is 2.25in and 0.4in respectively, the mean and standard deviation of d, x-y is 0.25in and 0.72in respectively.

Therefore the answer is 0.25in and 0.72in.

The mean of x is 2.5in and standard deviation of x is 0.6in.

μ1 = 2.5

σ1 = 0.6

Variance of x can be obtained by

σ1² = 0.6² = 0.36

The mean of y is 2.25in and standard deviation of y is 0.4in.

μ2 = 2.25

σ2 = 0.4

Variance of y can be obtained by

σ2² = 0.4² = 0.16

Variance of the difference of the independent random variables, d = x - y can be obtained by

σ12² = σ1² + σ2²

= 0.36 + 0.16

= 0.52

The standard deviation of the difference can be obtained by

σ12 = √0.52

= 0.72

Mean of the difference, d can be obtained by

μ = μx - μy

= 2.50 - 2.25

= 0.25

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In math class, Abby learned that the ratio between the surface area of a cube and the area of one side is 6 to 1. When Abby got a cube-shaped box in the mail, she decided to test this fact. The area of one side of the box was 20 square inches.
What was the surface area of the entire box?

Answers

Answer:

120 sq in

Step-by-step explanation:

20 * 6 = 120 sq in

How can producers make the most profit? Check all that apply.

They can work to increase their marginal cost.
They can work to decrease their marginal cost.
They can raise prices to increase marginal revenue.
They can lower prices to decrease marginal revenue.
They can keep marginal costs below marginal revenues.
They can keep marginal revenues below marginal costs.

Answers

The correct options are:

They can work to decrease their marginal cost.

They can raise prices to increase marginal revenue.

They can keep marginal costs below marginal revenues.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Producers can make the most profit by:

Working to decrease their marginal cost.

Keeping marginal costs below marginal revenues.

Raising prices to increase marginal revenue, as long as it does not decrease demand for their product.

Therefore, the correct options are:

They can work to decrease their marginal cost.

They can raise prices to increase marginal revenue.

They can keep marginal costs below marginal revenues.

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Due to yet another road construction project in her city, Sarah must take a detour to get from work to her house. Not convinced the detour is the shortest route, Sarah decided to perform an experiment. On each trip, she flips a coin to decide which way to go; if the coin flip is heads, she takes the detour and if it's tails, she takes her alternative route. For each trip, she records the time it takes to drive from work to her house in minutes. She repeats this procedure 13 times.
Calculate a 95% confidence interval for the difference between the mean travel times for the detour and alternative routes (do it as Detour - Alternative). Use t* = 2.675 and round your final answer to 3 decimal places.
Group of answer choices
(0.692, 6.068)
(-0.288, 7.048)
(1.734, 5.026)
(1.133, 5.627)

Answers

However, based on the given answer choices, we can determine that the correct option is (1.133, 5.627) to calculate the 95% confidence interval.

To calculate the 95% confidence interval for the difference between the mean travel times for the detour and alternative routes, we need the following information:

Sample size (n): 13

Mean travel time for the detour (x1): Calculate the average travel time for the detour.

Mean travel time for the alternative route (x2): Calculate the average travel time for the alternative route.

Standard deviation for the detour (s1): Calculate the sample standard deviation for the detour.

Standard deviation for the alternative route (s2): Calculate the sample standard deviation for the alternative route.

Degrees of freedom (df): Calculate the degrees of freedom, which is n1 + n2 - 2.

t* value: The t* value for a 95% confidence interval with the given degrees of freedom.

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Why do you think we need to mulltiply the circle area by two?

Answers

Answer:

the usual definition of pi is the ratio of the circumference of a circle to its diameter, so that the circumference of a circle is pi times the diameter, or 2 pi times the radius. ... This give a geometric justification that the area of a circle really is "pi r squared".Jan 29, 2008

Step-by-step explanation:

what is the answer for -(2n-b)=-2

Answers

Answer:

b=2n−2

Step-by-step explanation:

Distribute -1 to every term in the parentheses:-2n+b=-2

Add 2n to isolate b

You might want to specify which variable you are solving for...

Q4) [IT, 1C] These vectors are 05) [24] Determine a vector that is orthogonal to [4, -5, 7). on the page. In what direction does pxq point? 310

Answers

The vector P × Q points in the direction [20/7, 11/7, 5]. One possible vector that is orthogonal to [4, -5, 7] is [1, 0, -4/7].

To determine a vector that is orthogonal (perpendicular) to [4, -5, 7], we can find a vector that has a dot product of zero with [4, -5, 7].

Let's denote the vector we are looking for as [x, y, z]. To ensure orthogonality, we can set up the dot product equation:

[4, -5, 7] · [x, y, z] = 0

Taking the dot product of the two vectors, we have:

4x - 5y + 7z = 0

This equation represents a plane in three-dimensional space. To find a vector that lies on this plane and is orthogonal to [4, -5, 7], we can choose arbitrary values for two of the variables (x, y, or z) and solve for the third variable.

Let's set x = 1 and y = 0:

4(1) - 5(0) + 7z = 0

4 + 7z = 0

7z = -4

z = -4/7

Therefore, one possible vector that is orthogonal to [4, -5, 7] is [1, 0, -4/7].

Now let's consider the direction of the cross product between [4, -5, 7] and [1, 0, -4/7], denoted as P × Q.

To find the cross product, we can use the formula:

P × Q = [P2Q3 - P3Q2, P3Q1 - P1Q3, P1Q2 - P2Q1]

Substituting the given values, we have:

[4, -5, 7] × [1, 0, -4/7] = [(−5)(−4/7) − 7(0), 7(1) − 4(−4/7), 4(0) − (−5)(1)]

= [20/7, 11/7, 5]

Therefore, the vector P × Q points in the direction [20/7, 11/7, 5].

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Jorge has a box with different colors of tubes of paint. In the box, there are 7 tubes of blue paint, 4 tubes of red paint, 3 tubes of yellow paint and 6 tubes of green paint. Jorge selects a tube of paint at random. Which is more likely: selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint?

Answers

The probability that  is more likely between selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint id; Both are equally lilkely.

What is the probability of selection?

We are given;

Number of blue tubes = 7

Number of red tubes = 4

Number of yellow tubes = 3

Number of green tubes = 6

Thus;

Total number of painted tubes = 7 + 4 + 3 + 6 = 20

Probability of selecting a blue tube = 7/20

Probability of selecting a red tube = 4/20

Probability of selecting a yellow tube = 3/20

Probability of selecting a green tube = 6/20

Thus;

P(selecting a tube of blue or yellow paint) = (7/20) + (3/20) = 10/20

P(selecting a tube of green or red paint) = (6/20) + (4/20) = 10/20

Thus, they are equally likely.

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can someone please help me

can someone please help me

Answers

Answer:

Cos (3pi/4) =0.999154554

Sin (3pi/4)=0.041111762

Step-by-step explanation:

On your calculator there should be SIN and COS next to each other

#1 tap COS

#2 put your given numbers, in this case

COS(3pi/4) = 0.999154554

same goes for SIN

SIN (3pi/4)=0.041111762

please help with this question I really need quick geometry

please help with this question I really need quick geometry

Answers

7) The transformation is a dilation by a scale factor of 1.5.

8) The transformation here is; Rotation 180° about the origin.

How to carry out transformations?

7) We are told that ABCG is transformed to KHIJ.

Coordinates of ABCG are;

A(-2, -3), B(0, 5), C(6, 0), G(1, -3)

Now, coordinates of KHIJ are;

K(-3, -4.5), H(0, 7.5), I(9, 0), J(1.5, -4.5)

Now, from the transformed shape, we see that its' coordinates are 1.5 times that of the original shape coordinates. Thus, we can say that the transformation is a dilation by a scale factor of 1.5.

8) We are told that ABC is transformed to KLJ.

Coordinates of ABC are;

A(-9, 8), B(-4, 7), C(-7, 1)

Now, coordinates of KLJ are;

K(9, -8), L(4, -7), J(7, -1)

It is clear that the transformation here is;

(x, y) → (-x, -y)

From transformation rules, we can say that the transformation here is;

Rotation 180° about the origin.

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Find f(3) and find one value of x for which f(x)=2.

Find f(3) and find one value of x for which f(x)=2.

Answers

Answer:

f(3)=-4; x=1

Step-by-step explanation:

Just use the graph

\(\huge\boxed{f(3)=-4}\\\huge\boxed{f(1\ \textsf{or}\ 4)=2}\)

For this question, we just need to look at the graph.

Part a

\(f(3)=\ ?\)

Go to \(3\) on the x-axis and see what value from the y-axis it intersects with.

It's \(-4\), right at the bottom of the little valley there.

Part b

\(f(?)=2\)

For this part, we do the opposite. Go to \(2\) on the y-axis and find one value it intersects with from the x-axis.

You can go with either \(1\) or \(4\) here.

The length of each side of equilateral triangle T is 6 times the length of each side of equilateral triangle X.
Quantity A The ratio of the length of one side of T to
the length of another side of
Quantity B The ratio of the length of one side of X to
the length of another side of X
•A. Quantity A is greater.
• B. Quantity B is greater.
C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Answers

C. The two quantities are equal.  We can see that both Quantity A and Quantity B have the same value of 1. Hence, the two quantities are equal.

Since we know that the length of each side of triangle T is 6 times the length of each side of triangle X, we can set up the following equations:
Length of side of T = 6 * Length of side of X
To compare the ratios of the sides, we can use the following formula:
Ratio of one side to another = Length of one side / Length of another side
For Quantity A, we can choose any two sides of triangle T and find their ratio. Let's choose the two adjacent sides:

To further explain the concept, let's consider the properties of equilateral triangles.
An equilateral triangle is a special type of triangle where all three sides are equal in length. Hence, if we know the length of one side, we automatically know the length of all three sides.
Now, coming back to the given question, we are told that the length of each side of triangle T is 6 times the length of each side of triangle X. This means that if the length of one side of triangle X is 'a', then the length of one side of triangle T is 6 times 'a', which is '6a'.
Hence, we can write:
Length of side of T = 6a
Length of side of X = a
Now, let's compare the ratios of the sides.
For Quantity A, we need to find the ratio of one side of triangle T to another side of T. Let's choose the two adjacent sides:
Ratio of adjacent sides of T = Length of side of T / Length of adjacent side of T
Since all three sides of an equilateral triangle are equal, the adjacent side of T is also 6a. Hence, we get:
Ratio of adjacent sides of T = (6a) / (6a) = 1
For Quantity B, we need to find the ratio of one side of triangle X to another side of X. Let's again choose the two adjacent sides:
Ratio of adjacent sides of X = Length of side of X / Length of adjacent side of X
Since all three sides of an equilateral triangle are equal, the adjacent side of X is also 'a'.

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Connective tissue bands called ________ prevent flexor tendons of the forearm and leg from rising like bowstrings.

Answers

Connective tissue bands called annular ligaments prevent flexor tendons of the forearm and leg from rising like bowstrings.

Annular ligaments are ring-like structures made of fibrous tissue that surround and hold tendons in place as they pass through tight spaces in the body. In the forearm, the annular ligaments hold the tendons of the flexor muscles in place as they pass under the wrist and into the hand.

In the leg, the annular ligaments hold the tendons of the hamstring muscles in place as they pass behind the knee.

Without annular ligaments, the tendons would be able to move too freely, causing them to bowstring and reducing their effectiveness in controlling movement. The annular ligaments help to keep the tendons in the correct position, allowing them to function properly and enabling smooth and efficient movement of the joints.

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3/12 simplified version

Answers

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

What is a double fact in 1st grade math?

Answers

Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

when the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. what is the orignal number?

Answers

If the new number is four times the reciprocal of the original number, then  the original number is 0.02.

Let us assume the original positive decimal number is = "x".

When we move the decimal point of x four places to the right,

We get,  "10000x", which is four times the reciprocal of x.

So, equation can be written as;

⇒ 10000x = 4(1/x),

On simplifying the equation,

We get,

⇒ 10000x² = 4,

Dividing both sides by 10000,

We get,

⇒ x² = 0.0004,

Simplifying further,

We get,

⇒ x = 0.02

Therefore, the original positive decimal number is 0.02.

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Students measured the length of several pencils and recorded their data in a table.

Pencil Lengths (Inches)

3
7
8
,

5
1
4
,

4
,

6
1
8
,

4
1
2
,

5
1
4
,

3
1
2
,

5
3
8
,

4
3
4
,

5
Part A
How many dots will the line plot have in all?

A.
2

B.
6

C.
7

D.
10

Part B
The students will make the line plot using one fractional unit. What fractional unit should the students use so that all of the data can be plotted above a label?

A.
tenths

B.
eighths

C.
fourths

D.
halves
HELP MEEEE

Answers

Answer: I don't know, sorry!

Step-by-step explanation:

Define P(n) to be the assertion that:
n(n1)(2n 1)πΣε6j=1
(a)Verify that P(3) is true.
(b)Express P(k).
(c)Express P(k + 1).
(d)In an inductive proof that for every positive integer n,
=n(n+1)(2n 1)6j=1
what must be proven in the base case?
(e)In an inductive proof that for every positive integer n,п(п + 1)(2n + 1)6j=1
what must be proven in the inductive step?
(f)What would be the inductive hypothesis in the inductive step from your previous answer?
(g) Prove by induction that for any positive integer n,
п(п + 1)(2n + 1)j=1

Answers

The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

Given that P(n) be the assertion

∑j² = n (n+1)(2n+1)/6

(a) For n = 3, we get

∑j² = 1² + 2²+3² =14

= 3(3+1)(6+1)/6

=14

Hence, P(3) is true.

(b) Expression for P(k) may take the form

∑j² = k (k+1)(2k+1)/6

(c) Expression for P(k + 1) may take the form

∑j² = (k+1) (k+2)(2k+3)/6

(d)Base case:

In base case, we must prove that P(1) is true.

(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.

(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.

(g)Base case:

a) For n=1, we get

RHS= 1(1+1)(2+1)/6

=1

Hence, P(1) is true.

Inductive hypothesis:

Assume P(k) is true:

∑j² = k (k+1)(2k+1)/6

Inductive step:

Now,

∑j² = k (k+1)(2k+1)/6 +(K+1)²

which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

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Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:

90x − 20

What does the factor x of the first term of the expression represent? (2 points)


1)

The total number of tasks Terrence completed

2)

The total number of tasks Shelly completed

3)

The sum of Shelly's and Terrence's total points

4)

The difference between Shelly's and Terrence's total points

Answers

Answer:

2. the total number of tasks Shelly completed

What is the length of line BE?

What is the length of line BE?

Answers

Length of Line BE = √40 units  

Length of the line segment:  

The length of a line segment is nothing but the shortest distance between two endpoints of the line segment. If we know the endpoints of a line segment,  We can determine the length of the line segment using the distance formula. The formula for distance is given below  

             Distance  = √(y₂- y₁)² + (x₂ - x₁)²

Where, (x₁, y₁) and (x₂, y₂) are end points of line segment

                     

Here we have

A graph in which b and e are located

From the graph, we can take b (7, 6) and e (5, 0)

And the length of BE = distance between b and e

As we know the formula for the distance between 2 points is given

Distance = √(y₂- y₁)² + (x₂ - x₁)²

Length of BE = √(0 - 6)² + (5 - 7)²  

= √(- 6)² + (- 2)² = √36 + 4  = √40  

Therefore,

Length of Line BE = √40  units

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Tanee claimed that if two adjacent angles form a right angle then they are supplementary. This statement is true. always sometimes never​

Answers

Answer:

lkmjnhbvc xzsxfghj

Step-by-step explanation:

Answer:

never true

Step-by-step explanation:

Multiply (X^4+1)(3x^2+9x+2)

Answers

3x^6+9x^5+2x^4+3x^2+9x+2

Answer:

whatever they said up there

yee yee

Step-by-step explanation:

Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads? (2 points) Answers: 21,356 x 2 21,356 x one fourth 21,356 x one half 21,356 x one and one half

Answers

Given:

Jimmy reads a book with 21,356 words.

Bob reads a book with one-and-a-half times as many words.

To find:

The expression that represents the number of words Bob reads.

Solution:

We have,

Number of words Jimmy reads = 21,356

Bob reads a book with one-and-a-half times as many words. So,

Number of words Bob reads =  Number of words Jimmy reads × one-and-one-half

                                               \(=21,356\times 1\dfrac{1}{2}\)

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

D

A bicycle has a listed price of $842.98 before tax. If the sales tax rate is 7.25%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$842.98 * 107.25/100 =  $904.10

107.25% = 107.25/100

Step-by-step explanation:

The price is at 842.98 before adding the taxes of 7.25%

if that is the price then it represents 100% of the price. By adding the sales taxes the full price after taxes will be at 100%+7.25% = 107.25 % of the previous price.

The price after sales taxes will be at

$842.98 * 107.25/100 =  $904.10

Two brothers Steven and Walter each inherit 41000. Steven invests his inheritance in a savings account with an annual return of 2.7% while Walter invests his inheritance in a cd paying 6.4% annually. How much more money than Steven does Walter have after 1 year

Answers

Answer:

Walter earns $1,517 more than Stevens in one year.

Step-by-step explanation:

Giving the following information:

Two brothers Steven and Walter each inherit $41,000

Steven:

Annual return= 2.7%

Walter:

Annual return= 6.4%

To determine the future value for the brothers, we need to use the following formula:

FV= PV*(1+i)^n

Steven:

FV= 41,000*1.027= $42,107

Walter:

FV= 41,000*1.064= $43,624

Difference= 43,624 - 42,107= $1,517

Walter earns $1,517 more than Stevens in one year.

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From Customer Insights to Actions207BUILDING YOUR MARKETING PLANTo help you collect the most useful data for your market-ing plan, develop a three-column table:1In column 1, list the information you would ideally like to have to fill holes in your marketing plan.2In column 2, identify the source for each bit of infor-mation in column 1, such as doing an Internet search, talking to prospective customers, looking at internal data, and so forth.3In column 3, set a priority on information you will have time to spend collecting by ranking each item: 1 = most important; 2 = next most important; and so forth". Someone help me please !!!! Will mark Brianliest !!!!!!!!!!!!!!!! A patient sustained an electric shock when she accidentally touched live wires following a severe storm. The shock affected her urinary function and resulted in oliguria and uremia. How will the patients symptoms be treated if she develops anuria?. PLEASE ANSWER QUICKLY!!! D:(ONLY GENUINE RESPONSES PLEASE)Regardless of their crimes or offences, putting children in prison does not work. Education is more important than punishment.Write the text for a broadsheet newspaper article in which you argue your opinion on this statement. you don't have to write a lot, just a paragraph or two and i will pick it up from there seen as i don't know how to start. Give your opinion on which 3 grievances listed in the Declaration of Independence most readily justify revolution? Evaluate k + np2 if k = 0.5, n = 3, and p = 2. Can somebody please help me with this thank you a. both bacteriophage t7 and adenovirus have a linear dsdna genome. which virus uses only leading strand dna synthesis to complete genome replication The title of the poem Mirror, suggests that it _____.may be about self-reflectionis an allegorywill use personificationwill use metaphors The low pressure system that passed through Dallas most likely caused what change? An integer is called a profeta if it is equal to an integer's 4th power plus 4. For example, 20 is a profeta as 20 = 24 + 4. Other profeta integers include 4, 5, 85, etc. Implement a predicate function is_profeta to determine if an integer is a profeta. - is_profeta function takes in an integer as parameter; returns true if the argument is a profeta and returns false otherwise. You are not allowed to use any library functions. Your code should work for all integers, including positive integers, zero, and negative integers. Your code will be graded based on correctness, clearness, and coding practice. Comment your code to make it more readable. (Your comments will be graded based on their quality not quantity, so make sure they are concise and informative. See homework solutions as references.) In assessing the validity of any test of hypotheses, it is good practice to a. examine the probability model that serves as a basis for the test by using exploratory data analysis on the data. b. determine exactly how the study was conducted. c. determine what assumptions the researchers made. d. all of the above. Two dice are rolled 100 times. The number of double sixes X is counted. (a) Show that X follows a binomial distribution, that is, XBinomial(n,p). Moreover, find n and p. (b) Is it suitable to approximate the distribution of X by Poisson (pn) ? Justify your answer. (c) Find P(X3) using XBinomial(n,p) and find P(X3) using X 9. For your birthday, you plan to hang a piata in your basement. You decide to attach two hooks on opposite walls, connect the hooks with a taut string, and hang the piata from the point on the string exactly halfway between the hooks.Suppose you designate the southwest corner on the floor of your basement to be the origin of a three-dimensional coordinate system. Moving east from the origin is movement in the direction of positive x, and moving north from the origin is movement in the direction of positive y. This is shown in the following image of the floor of the basement.Moving vertically up from the origin is movement in the direction of positive z.The first hook will be hung at a point 4 feet east of the origin and 7.5 feet above the origin. The secondhook will be hung at a point 5 feet east of the origin, 12 feet north of the origin, and 8 feet above theorigin.Provide the coordinates of the following points:1. the first hook2. the second hook3 the point on the string ioining the hooks that is exactly halfway between the Hooks A h-atom is in an excited state represented by a dot. What are the possible energies of emitted photons?. the amino acid histidine has a side chain for which the pka is 6.0. calculate what fraction of the histidine side chains will carry a positive charge at physiological ph at 7.4. Beyond Mendel 151 Exercise D: One gene, multiple alleles Codominance Genotype Blood type In human ABO blood type there are three blood type phenotypes possible: Pr, PP. PP, P P, and i (Table 3). Understanding these blood types is important in blood transfusions, and it is due to the acceptance of the glycoproteins on the blood cellular membranes coded by the / gene. Similar to Mendelian genetics, i is recessive to both and P. But what happens when both and Palleles are in a gene? As it turns out. both alleles are activated. So blood cells of the genotype produce different glycoproteins with both sugars. This double expression is known as codominance. 21. What is the expected ratio of blood types in children from a type AB mother and a type O father? Blood type is autosomal (not sex-linked). Suppose your organization conducts a weekly survey of 100 respondents, asking them about their sleep patterns the previous night. Formerly it was the case that each of them had a 5% chance of insomnia on a given night, but now it is 10%. What is the corresponding change in the standard deviation of reported insomnia totals you will experience, assuming the outcomes are indendent of one another? (That is, none of them live together, keeping each other awake....) a number such that triple it is one sixth of its square Today, most of the 2.3 million pounds of in-shell peanuts consumed during a typical baseball season are languishing in cold storage, waiting - like the fans - for an opening day at the park that is unlikely to come. Baseball teams both minor and major are trying to find a way to schedule a season, but there will be no one in the stands to shell out $4 or $5 for a bag of peanuts. [nytimes.com] a. Discuss qualitatively the effect of the pandemic on the equilibrium price and quantity in the U.S. market for ballpark peanuts (aka Virginia peanuts) holding all other exogenous factors constant. Does the cancellation of baseball events affect the demand or the supply of peanuts? Illustrate your answer on a demand-supply diagram. Does the resulting change in equilibrium price help or hurt poor consumers? Does the resulting change in equilibrium price help or hurt less efficient producers? Explain. b. Is the price effect of the pandemic on Virginia peanuts higher when the supply is very elastic or when it is very inelastic? Explain in words (do not use any math). US per capita peanut consumption has risen to an all-time high of 7.6 pounds in 2020, up 3.2\% on 2019 driven in part by increased demand for peanut butter and at-home snacking as food consumption has shifted towards the home during the coronavirus pandemic. [foodnavigatorusa.com] c. While demand of Virginia peanuts has decreased, demand of regular peanuts has increased. Discuss qualitatively the effect of the pandemic on the equilibrium price and quantity in the U.S. market for regular peanuts holding all other exogenous factors constant. d. Data on sales of regular peanuts show that the price of peanuts was the highest in many years, and yet the demand increased during the pandemic. Does this evidence contradict the law of demand? Explain.