A customer buys 5 books at a bookstore for a total cost of $65. If all the books cost the same amount, how much does 3 book cost?

Answers

Answer 1

Answer:

$39

Step-by-step explanation:

If 5 books cost $65, the we need to find the cost of one book

So:

65 / 5 = $13 per book

Then you want to know how much 3 books cost

So:

13 * 3 = $39

It will cost $39 for 3 books

Answer 2

Step-by-step explanation:

first divide to know the cost of one book then multiple the result in 3

65 = 13

5

so,13 is the cost of one book

13x3=39

the answer is 39


Related Questions

Write a story problem that will result in the problem 5 + (-12)

Answers

what is the difference between 880 an 580

Write the equation of the graph in vertex form enter power using ^ and don’t forget y or f(x)

Write the equation of the graph in vertex form enter power using ^ and dont forget y or f(x)

Answers

Answer:

?

Step-by-step explanation:

?

50 POINTS WILL MARK BRAINLIEST

Evaluate the expression when b=4 and x=-5.

-b+ 3x

50 POINTS WILL MARK BRAINLIEST Evaluate the expression when b=4 and x=-5.-b+ 3x

Answers

Answer:

-19

Step-by-step explanation:

Since we already have the values of the variables and the equation, all we have to do is plug in the numbers.

-b + 3x

-(4) + 3(-5)

-4 + (-15)

-4 - 15

-19

Answer:

\(\boxed {\boxed {\sf -19}}\)

Step-by-step explanation:

We are asked to evaluate the following expression.

\(-b+3x\)

We know the b is equal to 4, and x is equal to -5.

b=4 x=-5

We can substitute the values into the expression.

\(-(4) + 3(-5)\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Multiply first. We multiply -1 and 4, then 3 and -5.

\([-1 *4] + 3(-5)\)

\(-4+ [3*(-5)]\)

\(-4+-15\)

Add.

\(-19\)

The expression -b+3x is equal to -19 when b equals 4 and x equals -5.

I am thinking of a number if I divided by 10 then add 6 I get nine what is my number

Answers

Let the number be y;

From the question, we can derive the below eaquation;

\(\frac{y}{10}+6=9\)

Let's go ahead and solve for y;

\(\begin{gathered} \frac{y}{10}=9-6 \\ y=10\ast3 \\ y=30 \end{gathered}\)

So, the number is 30.

Sol divided the following polynomial and made a mistake (x³ + 8x - 16) + (x-2)​

Answers

There are an equal number of roots as long as there are x powers. As a result of the four xs, the polynomial in this situation has four roots.

How can the roots of a polynomial be found given its factored form?

Finding the roots of the polynomial will allow you to solve it. P(x) = 0 is obtained by setting each factor to 0 and then calculating x. The polynomial equation can be solved by factoring. For every factor, a value of 0 should be used. 2x4 = 0; (x - 6) = 0; (x + 1) = 0 the answer to x, please.

It's important to note this even if there are only two genuine roots. The final two roots of this equation, which contain the integer I, are not real because I appears in both of them.

There are an equal number of roots as long as there are x powers. As a result of the four xs, the polynomial in this situation has four roots.

The complete question is,

Calculate the overall number of roots for each polynomial function using the factored form. f (x) = (x + 2)(x - 1) (x - 1) (x - 1) [x - (4 + 3i)] [x - (4 - 3i)].

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How do we divide in math?

Answers

Dividing in math is the process of finding the quotient of two numbers.

The formula for dividing two numbers is a/b = c, where a and b are the two numbers being divided and c is the quotient.

Division is a mathematical operation that is used to split a whole number into parts. It is the opposite of multiplication, which combines numbers together. The formula for division is A / B = C, where A is the dividend (the number being divided), B is the divisor (the number dividing the dividend), and C is the quotient (the result of the division). To calculate, you divide the dividend by the divisor and the quotient is the resultTo calculate the quotient, you must divide a by b. For example, if we wanted to divide 8 by 4, we would divide 8 by 4 to get 2. The calculation would look like this: 8/4 = 2. As a result, 8 divided by 4 is equal to 2.

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Using money to systematically target those who may be vulnerable due to their low financial status can be considered coercion and it breaches which one of the following four ethical principles?
a. Beneficence b. Justice c. Respect for Autonomy d. Non-maleficence

Answers

Option B, Justice is one of four ethical concepts. The definition states that there must be fairness in all medical judgments.

Four ethical principles: autonomy, benevolence, harmlessness, and justice. Each of these principles serves a specific purpose, but all four work together to empower you as healthcare professionals and ensure that your patients receive high-quality, ethical care.

The literal concept of autonomy and the medical concept of autonomy diverge and intersect. Charity is an act of compassion or mercy. The activities of all healthcare workers should always be positive. Of the four principles of medical ethics, harmlessness is the most important.

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The number of radians in a 540-degree angle can be written as aft, where a is a constant, What
is the value of a ?

Answers

Answer:I think Im not sure

But i will try 540 degress can be written as aft

Step-by-step explanation:

Answer: a=3

Step-by-step explanation:

trust

A chemist mixes a 25 % acid solution with a 45% acid solution to make 600 ml of a 30% acid solution. How much of each type of solution does she use? Please help asap, I'm confused.

Answers

Answer:

25 % acid solution = 450ml

45% acid solution = 150ml

Step-by-step explanation:

Let

x = 25 % acid solution

y = 45% acid solution

x + y = 600

.25x + .45y = .30(600)

x + y = 600 (1)

.25x + .45y = 180 (2)

From (1)

x = 600 - y

Substitute x = 600 - y into (2)

.25x + .45y = 180

.25(600 - y) + .45y = 180

150 - .25y + .45y = 180

150 + .20y = 180

.20y = 180 - 150

.20y = 30

Divide both sides by .20

y = 30/0.20

= 150

y = 150ml

Substitute y = 150 into

x + y = 600

x + 150 = 600

x = 600 - 150

= 450

x = 450ml

25 % acid solution = 450ml

45% acid solution = 150ml

y=(3x+15)(x-2)
in standard form

Answers

Answer:

\(y=3x^2+9x-30\)

Step-by-step explanation:

To multiply \((3x+15)\) with \((x-2)\) we can use a method called the FOIL method. FOIL is an acronym standing for First, Outer, Inner, Last. This is the order in which we need to multiply. The first terms of each multiplier are \(3x\) and \(x\). Therefore, we multiply these two terms to get \(3x^2\). The outer terms are \(3x\) and \(-2\). Once again, we multiply these terms.

\((3x)(-2)=-6x\)

Now, our equation looks like this: \(y=3x^2-6x\). We're not finished yet though. Next, we need to multiply the inner terms, \(15\) and \(x\). This comes out as simply \(15x\). Now our equation looks like this: \(y=3x^2-6x+15x\). We just need to multiply the last terms, \(15\) and \(-2\). This comes out as \(-30\).

Our equation at this point has been fully multiplied:

\(y=3x^2-6x+15x-30\)

We can see that we still have two like terms, \(-6x\) and \(15x\). These can be combined to simply \(9x\). Our final equation, then, is this: \(y=3x^2+9x-30\)

Evaluate the expression 2(2-y)-x When y = 8 and x = -3, what is the value of the expression?​

Answers

Answer:

-9

Step-by-step explanation:

y = 8

x = -3

2(2-y)-x =                       ⇒ replace x and y with their values2(2 - 8) - (-3) =               ⇒ solve parenthesis2(-6) + 3 =                      ⇒ multiply-12 + 3=                          ⇒ add- 9                                   ⇒ answer

Answer:

Your answer will be (-9)

This is how I got my answer-

2(2-y)-x

2(2-8)-(-3)

2 - 8= (-6)

2 × (-6) = (-12)

(-12) - (-3) = (-9)

6(2u +2) + 7u + 3 = 6(u +5) - 2u

Answers

Answer:

u=1

Step-by-step explanation:

6x2u+12+7u+3=6u+30-2u=19u+15=4u+30=19u=4u+15

\(6(2u +2)+ 7u+3 = 6(u+5) -2u\\\\\implies 12u +12 +7u+3 = 6u+30-2u\\\\\implies 19u +15 = 4u +30\\\\\implies 19u -4u = 30 -15\\\\\implies 15u = 15\\\\\implies u =\dfrac{15}{15} =1\)

I need help solving this problem , I don’t understand how or what it’s asking me .

I need help solving this problem , I dont understand how or what its asking me .

Answers

Answer:

Step-by-step explanation:

99

1. Describe the basic characteristics of an independent
measures, or a between-subjects, research study.

Answers

The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

Describing the basic characteristics

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

Participants are randomly assigned to one of the groups. Each group of participants is exposed to only one level of the independent variableData is collected from each group and compared to determine if there are any significant differences between the groups. The design requires a larger sample size compared to a within-subjects design because each participant can only be in one group.

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Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $600,3 prizes of $300,5 prizes of $40, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket? Let X be the random variable for the amount won on a single raffle ticket E(X)= dollars (Round to the nearest cent as needed)

Answers

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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PLSSSS HELP!!! AND NO LINKS!!

PLSSSS HELP!!! AND NO LINKS!!

Answers

Answer:

A

Step-by-step explanation:

In 2 months, he got 70 stamps, meaning 35 stamps per month. On the first month, he has 55 stamps by the end of the first month, and since every month he gets 35 stamps, He was given 20 Stamps to start with. It is not D since he saves 35 stamps himself every month, meaning from the beggining of that month, he had 20, and by the end had 55, since the question specifies it shows the amont of stamps at the END of the month.

If "a" is a positive integer, what is the mean of the data below?
{2a, 3a, 3a, 8a}

Answers

Answer:

mean = sum of all element / number of elements

mean = (2a + 3a +3a +8a) / 4

mean = 16a/4

mean =4a

Step-by-step explanation:

Identify whether these polynomials are completely factored. If not, factor it.


5(m^2 + 9)

2p(p^4 - 9)

(X - 8)(2x + 3)

3k^3(5k^2 + 19)

Answers

1. Completely factored

2. Should be: 2p(p^2+3)(p^2-3)

3. Completely factored

4. Completely factored
Im not sure what it is sorry, have a nice day.

The circle graph shows how Jane's family budgets a total of $45,000 for the year.
Insurance.
$3600
Utilities
$3150
Clothing.
$2700
Transportation
$1350
Entertainment-
$5400
Savings
$4050
Taxes
$7200
Food
$7650
Housing
$9900
Find the percentage of the total budgeted for each category listed below.

Answers

The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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a man claims to have extrasensory perception. as a test, a fair coin is flipped times, and the man is asked to predict the outcome in advance. he gets out of correct. what is the probability that he would have done at least this well if he had no esp? 30 24

Answers

The probability that the man would have done at least this well by chance, assuming he has no ESP is 0.182

To determine the probability that the man would have gotten at least 22 out of 30 correct by chance, we can use a binomial probability distribution, where:

n = 30 (the number of trials, or coin flips)

p = 0.5 (the probability of getting a correct guess by chance, assuming the coin is fair)

The probability of getting exactly 22 correct guesses by chance can be calculated as:

P(X = 22) = (30 choose 22) × 0.5^22 × 0.5^8 = 0.128

where (30 choose 22) is the number of ways to choose 22 correct guesses out of 30.

The probability of getting 22 or more correct guesses by chance can be calculated as:

P(X >= 22) = P(X = 22) + P(X = 23) + ... + P(X = 30)

This can be calculated using a binomial probability calculator, which gives:

P(X >= 22) = 0.182

Therefore, the probability is 0.182

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The given question is incomplete, the complete question is :

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 30 times, and the man is asked to predict the outcome in advance. He gets 22 out of 30 correct. What is the probability that he would have done at least this well if he had no ESP?

solve the equation by using substitution method X + 2 Y equal to 8 equation first 2 x minus 2 equal to 10 equation second​

Answers

Answer:

(6, 1)

Step-by-step explanation:

x + 2y = 8

1. subtract 2y to get x alone -- x = -2y + 8

2. insert (-2y + 8) as x

2x - 2 = 10

2(-2y + 8) -2 = 10

3. distribute the 2

-4y + 16 - 2 = 10

4. combine like terms

-4y + 14 = 10

5. subtract 14 from both sides

-4y = -4

6. divide by -4

y = 1

7. plug y into any of the two original equations

x + 2(1) = 8

8. simplify

x + 2 = 8

x = 6

9. check answer with second equation

2(6) - 2 = 10

12 - 2 = 10

because this is a uniform distribution, each minute after 7:30 am, the proportion is 1 divided by 10, which is 0.1. therefore, scott leaves by 7:35 am .

Answers

It is incorrect to say that Scott leaves at 7:35 am each time. Instead, the probability of Scott leaving at any minute between 7:30 am and 7:35 am is the same (0.1).

Based on the information given, it seems like you are referring to a situation where Scott leaves at a random time between 7:30 am and 7:35 am, and the distribution of this departure time is uniform.

In a uniform distribution, the probability of an event occurring within a certain range is evenly spread out. In this case, the range is from 7:30 am to 7:35 am, which is a 5-minute interval.

Since there are 10 minutes in total within this interval (from 7:30 am to 7:35 am), and the proportion of each minute is 1 divided by 10 (0.1), the probability of Scott leaving at any given minute is 0.1.

Therefore, it is incorrect to say that Scott leaves at 7:35 am each time. Instead, the probability of Scott leaving at any minute between 7:30 am and 7:35 am is the same (0.1).

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In math class, Sam correctly multiplied 3. 625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5

Answers

The exponent in Sam’s product is -5.

What does a math exponent mean?

When a number is multiplied by itself, it is said to have an exponent. For instance, 2 to the third (written as 23) indicates that 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. A number raised to the power of one is itself, so keep that in mind.

Let us first multiply 500 with 3. 625×10-8

3. 625×10-8  × 500 = 1812.5 × 10⁻⁸

Then Sam has reported this answer in scientific notation

The format for writing a number in scientific notation is

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 × 10⁻⁸  we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10³

1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁸ × 10³

1812.5 × 10⁻⁸  = 1812.5 × 10⁻⁵

Exponent is a quantity representing the power to which a given number or expression is to be raised

1812.5 × 10⁻⁵ exponent is -5

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Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.

Answers

Answer:

0

Step-by-step explanation:

Answer: it's C. 0

Also Happy early Christmas

Find the surface area of the figure below

Find the surface area of the figure below

Answers

Answer:

696.8 mm^2

Step-by-step explanation:

Does this make sense?

Find the surface area of the figure below

The surface area of figure  is  696.8\(mm^{2}\).

To understand more, check below explanation.

Surface area of figure:

The given figure is combination of a triangular shape and cuboid.

We have to find surface area of given figure.

The surface area of combined figure is summation of area of four triangle and area of cuboid excluding top of cuboid.

The base of triangle = 13mm

Height of triangle = 10.3 mm

Area of 4 triangle \(=4*\frac{1}{2}*13*10.3=267.8mm^{2}\)

Surface area of cuboid excluding top is computed as,

              Area = (2*13*5) + (2*13*5) + (13 * 13)

              Area = 130 + 130 + 169 = 429 square millimeters.

Hence, surface area of figure = 267.8 + 429 = 696.8\(mm^{2}\)

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Consider the series ∑n=1[infinity]an where an=(5n−8)2n(3n 4)2n in this problem you must attempt to use the root test to decide whether the series converges

Answers

Applying the root test to the series ∑n=1[infinity]an, where an=(5n−8)2n(3n 4)2n, reveals that the series converges.

To determine the convergence of the series using the root test, we need to consider the limit of the absolute value of the nth root of the general term, as n approaches infinity. In this case, the general term is an=(5n−8)2n(3n 4)2n. Taking the nth root and absolute value, we have:

lim┬(n→∞)⁡〖|an|^(1/n) 〗= lim┬(n→∞)⁡〖|(5n−8)^(2n(3n 4)2n) 〗^(1/n) 〗

Simplifying the expression inside the limit:

|(5n−8)^(2n(3n 4)2n) 〗^(1/n) = |5n−8|^(2(3n 4)) = (5n−8)^(6n-8)

Now, as n approaches infinity, the base (5n−8) grows infinitely large, and since the exponent (6n-8) is also positive, the limit of the expression becomes infinity.

Therefore, lim┬(n→∞)⁡〖|an|^(1/n) 〗= ∞.

Since the limit is greater than 1, according to the root test, the series ∑n=1[infinity]an diverges.

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James has 14{,}500\text { g}14,500 g14, comma, 500, start text, space, g, end text of sand in his sandbox. he brings home another 7{,}400\text { g}7,400 g7, comma, 400, start text, space, g, end text of sand from the beach to add to his sandbox. how many kilograms of sand does james have in his sandbox now?

Answers

James has a total of 21.9 kilograms of sand in his sandbox after adding the sand from the beach. To find the total weight of sand in James' sandbox, we need to convert the given weights from grams to kilograms.

James initially has 14,500 g of sand. To convert this to kilograms, we divide by 1000:

14,500 g ÷ 1000 = 14.5 kg

Next, James brings home an additional 7,400 g of sand from the beach. To convert this to kilograms, we divide by 1000:

7,400 g ÷ 1000 = 7.4 kg

To find the total weight of sand in James' sandbox, we add the initial amount of sand to the amount he brought from the beach:

14.5 kg + 7.4 kg = 21.9 kg

Therefore, James now has 21.9 kilograms of sand in his sandbox.

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a histogram with the hills to the far left means the image is overexposed.

Answers

The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.

A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.

When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.

Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.

Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.

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true or false : When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are: Which one? Proven statistically significant independent Critically accepted A relationship between two interval ratio variables that changes direction is considered curvilinear.

Answers

The statement is false. When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are "statistically significant".

However, this does not mean that the results are proven to be true with absolute certainty, but rather that they are highly likely to be true based on the available evidence.

"Independent" refers to a situation where two variables are not related or affected by each other, and this term is not directly related to statistical significance.

"Critically accepted" is not a commonly used term in statistics.

When a relationship between two interval ratio variables changes direction, it is referred to as a "nonlinear" or "curvilinear" relationship.

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13 people on a softball team show up for a game. how many ways are there to assign the 10 positions by selecting players from the 13 people who show up?

Answers

The possible of choices to place the 10 positions by choosing players from the 13 people who went is 1,287,600.

To find the possible number of ways to assign the 10 positions by selecting players from the 13 people who show up, we need to use the principles of permutation and combination.

therefore, the principle of  permutation and combination can be used to derive a formula

\(P(n,r) = \frac{n!}{(n-r)!}\)

here,

n = total number of players coming

r = is the number of position made

placing the given values in the given formula

\(P(13,10) = \frac{13!}{(13-10)!}\)

\(= \frac{13!}{3!}\)

\(=1,28,600\)

The possible of choices to place the 10 positions by choosing players from the 13 people who went is 1,287,600.

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helppppppppppppppppppppppppppppppppppppppppppPp What is the arithmetic mean of the following numbers?10, 6, 4,4,6,4,1 If y=4, what does x equal?? Please help!! Given m || n, find the value of x and y.Y = ?X = ? What size is a standard margin?a. 1.5 inchesb. 2 inchesC.d..5 inches1 inchPlease select the best answer from the choices providedAB O O O OD To find the distance between two radar installations a UFO calculates the distance to installation A to be 119 mi, the distance to installation C to be a = 77 mi, and the angle between them 6 = 34.6. Find the distance between the installations. Which of the following is not true?A. An organization may express its cybersecurity state through a Current Profile to report results or to compare with acquisition requirements.B. Only critical infrastructure agencies may establish a Target Profile that can be used among their constituents as an initial baseline Profile to build their tailored Target Profiles.C. An organization may utilize a Target Profile to express cybersecurity risk management requirements to an external service provider (for example, a cloud provider to which it is exporting data).D. A critical infrastructure owner/operator, having identified an external partner on whom that infrastructure depends, may use a Target Profile to convey required categories and subcategories. If Karel is facing North and the code turnLeft(); turnLeft();runs, which direction is Karel facing now?answer choicesNorthSouthEastWest According to personality researchers, which of the following is a characteristic of a person who is predisposed to helpfulness?A. high in positive emotionalityB. high in narcissismC. low in empathyD. low in self-efficacy what was the main lesson across all of horatio alger jr.s novels for boys? Significant correlations are not able to indicate ______. Group of answer choices the strength of the effect causality the size of the effect the probability level Why is Their Eyes Were Watching God so popular? Answer the following questions (1-5).1) Islands in different oceans experiencing similar environmental conditions have species that did not resemble each other. However, species on each island were similar to those living in the closest mainland. What can be said based on this observation?a. Islands are inhabited by species which originally migrated from the nearby mainland.b. Only certain species can survive on Islands.c. Every species in the mainland has a related species on the islands nearby.d. Islands must have broken off from the mainland sometime in the past and any species that were on an island at the time of the break gotten stuck on it.e. Each island is occupied by specific species which were specially created to best fit the environmental conditions of that island.2) Many temperate plant taxa have not adapted to tropical environments, and many animal species shifted their ranges during the Pleistocene rather than adapting to climate change. These observations are consistent witha. physiological toleranceb. phylogenetic signalc. community convergenced. local adaptatione. phylogenetic niche conservatism3) After the breakup of Gondwana, new species evolved in South America, Africa, and Australia. Which speciation model best fits this vicariance event?a. Allopatric speciationb. Sympatric speciationc. Parapatric speciationd. Peripatric speciatione. Hybrid speciation4) You discover patterns of genetic divergence that are very similar among multiple unrelated species that share a region. This suggests thata. the organisms have an ecological relationship and are tracking one another.b. the organisms are probably more closely related to one another than was previously thought.c. the species experienced a similar history of subdivision, owing to geological and climatic processes.d. by random chance the organisms have colonized new areas following the same dispersal routes.e. the genes of these organisms are under strong selection, and thus these species are not useful for biogeographic analysis.5) Which factors that may increase extinction rates is most likely to be influenced by the activities of humans?a. The movement of land massesb. Competitive interactions among taxa with similar nichesc. The effects of predators and pathogensd. Major changes in the distribution or conditions of global climatee. Incumbent replacement Angle of regular polygonSides: 8Radius:8 in. A line includes the points (4, 4) and (0, 3). What is its equation in slope-intercept form? how did abby sunderland demonstrated perseverance? Before you begin your speech, pick a revolutionary leader from Latin America or the Caribbean that has been discussed in this unit. Then complete the chart below using researched information from the course and from outside resources, such as the ones listed below.Toussaint Louverture, Haitian revolutionaryMiguel Hidalgo y Costilla, Mexican revolutionarySimn Bolvar, Latin American revolutionaryJos de San Martn, Argentine revolutionarySelected revolutionary leader: ______________________________ Find the slope of the line that contains the pair of points. (2, 4) and (3, 1) plz help me I need help Why would strong city walls and fortresses not matter when it comes to protection, according