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Answers

Answer 1

When the line of slope of 3 passes through two points, the value of y is -8.

What is slope?

The slope or gradient of a line in mathematics is a number that describes both the direction and the steepness of the line. The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope is a numerical value that describes the steepness of a line and is typically calculated by dividing the vertical distance by the horizontal distance (rise over run) between two points.

Here,

m=3

m=(y2-y1)/(x2-x1)

3=(y+5)/(-3+(2))

-3=y+5

y=-8

The value of y is -8 when the line of slope of 3 is passing through 2 points as given.

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Related Questions

25-2x≤5(2-x) pls solve w/ steps ​

Answers

Answer: X has to be greater than or equal to 15/7 for the inequality to be true.

Step-by-step explanation:

here are the steps to solve the inequality 25-2x≤5(2-x):

Start by simplifying the right side of the inequality: 5(2-x) = 10 - 5x

Now we can substitute this back into the original inequality: 25 - 2x ≤ 10 - 5x

Next, we need to combine like terms on both sides of the inequality: 25 - 7x ≤ 10

Now we'll add 7x to both sides: 25 ≤ 10 + 7x

Subtract 10 from both sides: 15 ≤ 7x

Finally, divide both sides by 7: 15/7 ≤ x

The solution set is x ≥ 15/7.

So x has to be greater than or equal to 15/7 for the inequality to be true.

Answer:

-5 ≥ x  or x ≤ -5

Step-by-step explanation:

25 - 2x ≤ 5(2 - x)

distribute the 5 to eliminate the parentheses:

25 - 2x ≤ 10 - 5x

now combine like terms:

15 - 2x ≤ -5x

15 ≤ -3x

-5 ≥ x  or x ≤ -5

the inequality symbol gets switched whenever you multiply or divide by a negative value

from a pack of cards, 2 cards are drawn in succession and the selected card is not replaced. what is the probability that both the drawn cards are diamonds? (refer to the deck of cards material shared in reference material to get better understanding of cards)

Answers

Two  cards are drawn in succession from a standard deck. The probability that both the drawn cards are diamonds is 143/2,652

Probability is defined as the ratio of the number of favorable events to the the number of possible outcomes. The probability of an event A is defined as:

P(A) = n(A)/n(S)

Where:

n(A) = number of possible ways the event A occurs

n(S) = total possible outcomes

In a standard deck, there are 52 cards. The number of diamond suit = 13 cards.

First drawn: number of diamond = 13

Hence, P1(diamond) = 13/52

In the second drawn, the number of diamonds left is 13 - 1 = 12, and total number of cards left is 52 - 1 = 51.

Hence, the probability of the second card will be a diamond is:

P2(diamond) = 12/51.

Since those 2 events are independent, the probability that both cards are diamonds is:

P(diamonds) = P1 (diamond) x P2 (diamond)

                     = (13/52) x (11/51) = 143/2,652

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Question
Two boxes need to be wrapped in paper (with no overlap). Both boxes are in the shape of right rectangular prisms.

Box A measures 0.8 feet high, 0.6 feet long, and 1 foot wide. Box B measures 1.4 feet high, 0.5 feet long and 1.2 feet wide.

The wrapping paper costs $6.79 per 80 square feet.

What is the cost of wrapping both boxes?

Enter your answer in the box.

$

Answers

Answer:

0.82

Step-by-step explanation:

A: area =2( 0.8*0.6*+0.6*1+0.8*1) =2(0.48+0.6+0.8)=2*1.88 =3.76

B:area = 2(1.4*0.5+0.5*1.2+1.4+1.2) =2(0.7+0.6+1.68)=2*2.98=5.96

total 9.72

cost = $6.79* 9.72/80 =$0.82

Answer:

0.92

Step-by-step explanation:

The product of two consecutive even integers is 168. Find the integers.
What are the negative integers?

Answers

Answer:

We can use algebra to find the two consecutive even integers whose product is 168.

Let's call the first even integer x. Since it is consecutive to another even integer, the next one will be x+2. The product of these two integers is:

x * (x+2) = 168

We can solve for x by simplifying the equation:

x^2 + 2x = 168

x^2 + 2x - 168 = 0

We can factor the left side of the equation:

(x-14)(x+12) = 0

So the two solutions for x are -12 and 14.

The negative integers are -12 and -14.

The two integers that multiply to give 168 are -12 and -14, but keep in mind that they are not consecutive integers.

What is 2/3+3/7? I CAN'T FIGURE IT OUT! Work it out!

Answers

This question is actually not that complexed!

The way we add fractions is by finding the same common denominator. A common denominator between these two fractions is 21. This is because 3x7 is 21, and 7x3 is 21, giving us a common denominator between the two. Now whenever we multiply the denominator, we have to multiply the same value to the numerator!

2/3 multiplied by 7 (Numerator and Denominator) = 14/21

3/7 multiplied by 3 (Numerator and Denominator) = 9/21

Now after we converted the denominators, we can now add! Just add straight forward, however the denominator stays the same.

14/21 + 9/21 is 23/21

After we simplify it, we would get 1 2/21 (Mixed fraction) as our final answer. Therefore the answer is 1 2/21.

If you have any questions, please leave them below! Thanks!

The total cost (in dollars) of a cell phone plan after x months can be represented by c(x) = 35x + 20. Find the inverse function. Then find the number of months
when the total cost is $1700.

Answers

The number of months when the total cost is $1700 is 48 months

What is a function?

A function can be defined as an expression, equation, law or rule that shows the relationship between two variables.

These variables are;

Dependent variableIndependent variable

From the information given, we have that;

The function for the total cost is c(x) = 35x + 20x represents the number of months

Now, substitute the values, we have;

1700 = 35x + 20

collect like terms

35x = 1700 - 20

subtract the like terms

35x = 1680

Make 'x' the subject of formula

x = 48 months

Hence, the value is 48 months

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Can anyone help?- I need it by 11:30.

Answers

Answer:

See Below

Step-by-step explanation:

5. [tex]3.1 + (8.6 + m)\\3.1 + 8.6 + m\\11.7 + m[/tex]

take expression out of brackets by distribution (multiplying both by 1), then add

6. [tex]((\frac{2}{3})(t)) (1\frac{1}{2})\\(\frac{2}{3}t) (1\frac{1}{2})\\(\frac{2}{3}t) (\frac{3}{2})\\\frac{6}{6} t\\t[/tex]

Simplify the expression in the brackets by multiplying them together, once done turn the mixed fraction back into improper fraction in order to multiply the two together. Once done, simplify the expression

7. [tex]4(x + 8)\\4x + 32[/tex]

I would argue that factored form is the most simplified but regardless using the distribution rule you multiply both numbers within the bracket in order to get rid of it

8. [tex]4t + 7 + 2t - 2\\6t + 5[/tex]

This is just combining like terms and simplifying

Nicole is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 18 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 41^{\circ} ∘ , and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 44^{\circ} ∘ . If her eyes are 1.68 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest meter if necessary.

Answers

The height of the antenna is 17m approximately to the nearest metre using the trigonometric ratio of tangent for angleof elevation 44°.

What are trigonometric ratios

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Considering the right triangle formed by the point of Nicole's eyes E with an angle of elevation 44°, top of the roof A (90°) and the top of the antenna B,

we shall evaluate for the height of the antenna AB as follows:

tan 44° = AB/18m {opposite/adjacent}

AB = 18m × tan 44° {cross multiplication}

AB = 18m × 0.9657

AB = 17.3826m

Therefore, the height of the antenna to the nearest metre is 17 metres using the trigonometric ratio of tangent for angleof elevation 44°.

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Answer:
2 meters


I got it correct in my hw (check the photos)


also mark me brainleist

The revenue (R) made on the sale of tickets is a function of the price (p) of each
ticket, where R(p) = -40p^2 +400p-640

Pls help!!!

Answers

The revenue is maximized when the derivative of R(p) is equal to 0.

R'(p) = -80p + 400 = 0

p = 5

What is a function?

A function is a mathematical relationship between two or more variables, where one variable (the output) is determined by the values of the other variables (the inputs). A function can be expressed as an equation, and it describes how the output changes in relation to the inputs.

Therefore, the maximum revenue is achieved when the price of each ticket is $5.

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If Elayna bought 18 bags of topsoil and each bag contains 36 pounds, how many total bags did she buy?

Answers

Answer: To find the total weight of the bags of topsoil, you can multiply the number of bags by the weight of each bag.

18 bags * 36 pounds/bag = 648 pounds

So, Elayna bought 18 bags of topsoil which is 648 pounds in total.

Step-by-step explanation:

A line includes the points (0, -8) and (3, 3) find the rate of change of the line

Answers

Answer:

11/3 or 11/3x

Step-by-step explanation:

Another term for "Rate of change" is slope.

The usual slope equation is (y2-y1)/(x2-x1)

Plugging in the points we get

(3 - (-8)) / (3 - 0)

(3+8)/(3-0)

(11)/(3)

Which makes the slope 11/3 or 11/3x

n engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 280 engines and the mean pressure was 6.6 lbs/square inch. assume the variance is known to be 1 . if the valve was designed to produce a mean pressure of 6.7 lbs/square inch, is there sufficient evidence at the 0.1 level that the valve performs below the specifications? state the null and alternative hypotheses for the above scenario.

Answers

Null hypothesis: valve meets specifications. Alternative hypothesis: valve doesn't meet specifications, t-test with p-value < 0.1 to reject Null.

What is null hypothesis ?

The null hypothesis is a arithmetic theory suggesting that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.

To test the null hypothesis, we can use a one-sample t-test. The t-statistic for this test is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the population mean (6.7 lbs/square inch in this case), s is the population standard deviation (assumed to be 1), and n is the sample size (280 engines).

The p-value for this test can be calculated using the t-distribution table or a t-test calculator. If the p-value is less than the significance level of 0.1, then we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs below the specifications.

Null hypothesis: valve meets specifications. Alternative hypothesis: valve doesn't meet specifications, t-test with p-value < 0.1 to reject Null.

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WHICH one doesn’t belong


9 16

25 43

NUMBER 1

from Pam Wilson

Answers

From the set of numbers 9, 16, 25, 43 , the number does not belong to the group is prime number 43.

Set of numbers are 9, 16 , 25, 43.

9 is the composite number with 1, 3, 9 as factor.

It is perfect square of 3 also.

16 is the composite number with 1, 2, 4, 8,16 as factors.

It is perfect square of 4 also.

25 is the composite number with 1, 5, 25 as factors.

It is perfect square of 5 also.

43 is not a composite number.

It has only two factors 1, 43.

43 is a prime number.

It is not a perfect square of any number.

Here 43 does not belong to the group.

Therefore, the number which does not belong to the group from 9,16, 25, 43 is 43.

The above question is incomplete, the complete question is :

Which number does not belongs to group ?

9, 16, 25, 43.

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How do I find the median of this trapezoid?

Answers

Answer:

23.37

Step-by-step explanation:

There ya go

:)

Solve the inequality. -1.5x < 7.5

Answers

Answer: x > -5

Step-by-step explanation:

-1.5x < 7.5

x > -5 (When multiplying both sides by a negative, the inequality is flipped)

[tex]-1.5x < 7.5[/tex]

Divide both sides by -1.5:

[tex]\dfrac{-1.5x}{-1.5} < \dfrac{7.5}{-1.5}[/tex]

When dividing by a negative number, the inequality sign will reverse.

Answer:

[tex]x > -5[/tex]

Please help!!!!
If f(x)=-9x+13 and f(x) = -41, find x

Answers

The numerical value of x in the function f(x) = -9x + 13 when f(x) = -41 is 6.

What is the value of x in the given function?

A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

f(x) = -9x + 13f(x) = -41x = ?

To find the value of x, replace the occurrence of f(x) with -41 in the function and simplify.

f(x) = -9x + 13

-41 = -9x + 13

Collect like terms

9x = 41 + 13

Add 41 and 13

9x = 54

Divide both sides by 9

9x/9 = 54/9

x = 54/9

x = 6

Therefore, the input value x is 6.

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Please Help me on this 3rd last question I'm on I'm a bit stuck on it it would be very amazing if you did help me.

Answers

Answer:

c

Step-by-step explanation:

Find a2, a3, and a4.
a1=0
an=an–1+15
Write your answers as integers or fractions in simplest form.

Answers

The values of the terms are a₂ = 15, a₃ = 30 and a₄ = 45

How to determine the value of the terms?

The definition of the function is given as

a₁= 0

aₙ = aₙ₋₁ + 15

The above definitions imply that we simply add 15 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₂ = 0 + 15

a₂ = 15

Also, we have

a₃ = 15 + 15

a₃ = 30

Lastly, we have

a₄ = 30 + 15

Evaluate the equation

a₄ = 45

Hence, the value of a₄ is 45

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on a fair die whose faces are numbered consecutively starting from 1, the probability of rolling an even number is less than twice the probability of rolling a multiple of 3. which could be the number of sides on the die?

Answers

Answer:

iam sorry

i don't know the answer

3 Points

Steven rents an apartment in an all-wood building in the city suburbs. The

value of the belongings in the apartment is about $15,000. If Steven wants to

insure his belongings while renting, how much will he have to pay for

insurance per year?

Annual Premium per $100 of coverage

Brick. . Steel

Mixed

Wood

Area Building Contents Building Contents Building Contents Building Contents

rating

City 0. 39 0. 43 0. 5 0. 54 0. 55 0. 65 0. 66 0. 76

Suburb 0. 45 0. 52 0. 56 0. 63 0. 72 0. 74 083 085

Rural 0. 6 0. 69 0. 71 0. 8 0. 89 0. 91 1 | 102

O A. $150. 00

O B. $107. 50

OC. $127. 50

O D. $173. 50

Answers

Steven will have to pay $127. 50 for the insurance per year.

The correct answer is an option (C)

First, we need to find the corresponding value for the all-wood building in the city suburbs.

From given table, we will use the value 0.85 because he wishes to ensure his belongings.

Here, the value of the belongings in the apartment is about $15,000

Steven wants to insure his belongings while renting.

Now we can calculate the amount of money he will have to pay  for insurance per year as follows:

15000 × (0.85 / 100)

= 127. 50 dollars

Therefore, he will have to pay 127. 50 dollars for insurance.

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At the end of each month, Bianca deposits $100 into an account with an interest rate of 4.25%, compounded monthly. If no money is withdrawn from the account, what will her balance be after 5 years?

Answers

Answer:

123.6​30189899 or A. $1,257.72

Step-by-step explanation:

[tex]\frac{4.25}{100}=0.0425\\ 100(1 + \frac{0.0425}{12})^{12(5)} \\= 123.630189899[/tex]

Factor the quadratic expression completely.
-3x² +172-20=

Answers

Answer: The given quadratic expression is -3x²+172x-20. To factor this expression, we look for two numbers that multiply to -20 and add to 172.

We can start by dividing -20 by different numbers and checking if the product and the sum of the divisors equals -20 and 172 respectively.

-20/1 = -20, 1+-20 = -19

-20/2 = -10, 2+-10 = -8

-20/4 = -5, 4+-5 = -1

-20/-1 = 20, -1+20 = 19

-20/-2 = 10, -2+10 = 8

-20/-4 = 5, -4+5 = 1

We can see that the divisors that multiply to -20 and add to 172 are (x+8)(x-5)

So, we can factor the quadratic expression as:

-3x²+172x-20 = -3(x+8)(x-5)

Hope this helps!

Step-by-step explanation:

Chase tried to evaluate an expression. Here is his work: 2(12÷2)2–14+6 = Step 1262–14+6 = Step 2236–14+6 = Step 372–14+6 = Step 472–20 = Step 552 Is Chase's work correct? PLEASE HELP FAST THIS IS FOR 6th GRADE IXL

Answers

No Chase's work is not correct. He has made a mistake in working the brackets out. The BODMAS Rule has to be used here.

We have 2(12 ÷ 2)2 – 14 + 6

Here according to the BODMAS rule which stands for Brackets  Of  Division  Multiplication  Addition  Subtraction, we will first solve the brackets.

Now any number to the left or right of the brackets without any sign in between the bracket and the number has to be multiplied by the answer we get by solving the bracket.

12 ÷ 2 = 6

Hence we get

2 X 6 X 2  -  14  +  6

Now we need to multiply.

2 X 6 X 2 = 12 X 2 = 24

Hence we get

24 - 14 + 6

Now we need to add the numbers up.

24 + 6 = 30 hence we get

30 - 14

= 16

Hence Chase's work is not correct.

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glassdoor four players pick a real number from [0,1]. the players with the middle two numbers are paired together, while the players with the two extreme numbers are paired together. the pair with a lower sum has to each pay the difference to the pair with a higher sum. if you are allowed to choose your number (while everyone else draws uniformly at random), which number should you choose?

Answers

The expected value of the sum of the two extreme numbers is 1/2.

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen.

The optimal strategy for you would be to choose the number 0.5, as it maximizes the probability that your pair will have the highest sum, and minimizes the probability that your pair will have the lowest sum.

This is because if all players choose a number uniformly at random, the expected value of the lowest and highest numbers will be 0 and 1 respectively, and the expected value of the middle two numbers will be 0.5. Therefore, by choosing 0.5, you have the best chance of having the highest sum, which means you will have to pay the least amount of money.

Therefore, the expected value of the sum of the two extreme numbers is 1/2.

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Quinn ran five times
this week for a total
distance greater than
40 miles. He says that
means he ran, on average,
more than 8 miles on
each run.
For an indirect proof,
what does he need to
assume?

Answers

We can assume linear inequality 8x>40 for x>8 for an indirect proof.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

Given,

Quinn ran total distance>40 mile

No. of times he ran=5

average distance for each run>8

also let x>8 where x=average distance for each run

Hence,

           We can assume linear inequality 8x>40 for x>8

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8.A rocket travels at an approximate speed of 7.9 kilometers per second.

Which statements about the rocket are true?

Select all that apply.

Answers

The statement below about the rocket is true:

A rocket travels at an approximate speed of 7.9 *10⁵ cm per second.

What is Unit conversion?

A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).

Given, A rocket travels at an approximate speed of 7.9 kilometers per second.

Since, some unit conversion:

1 kilometer = 1000 meteres

1 kilometer = 100000 centimeteres = 10⁵ cm

1 kilometer = 10000000 milimeteres = 10⁷ mm

thus we can say that from the given options only "f" is correct that states:

A rocket travels at an approximate speed of 7.9 *10⁵ cm per second.

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determine the minimum distance (ft) it will take for a driver going at the speed limit to come to stop at the traffic light after the traffic light turns yellow. b) what will be minimum stopping distance if the driver was going at 45 mph (5 mph over the speed limit)? express it in ft and also as % of the distance you found in part a). c) what will be the minimum stopping distance if the driver was going at 50 mph (10 mph over the speed limit)? express it in ft and also as % of the distance you found in part a). g

Answers

The minimum stopping distance is 800 ft.

Part A: The minimum stopping distance for a driver going at the speed limit (40 mph) is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (40 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 800 ft.

Part B: For a driver going at 45 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (45 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 925 ft, which is 15.6% greater than the stopping distance for the speed limit.

Part C: For a driver going at 50 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (50 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 1250 ft, which is 56.3% greater than the stopping distance for the speed limit.

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Given the two functions, which statement is true?
f(x) = e^x, g(x) = e^x-2

g(x) is translated down 2 units compared to f(x)
g(x) is translated right 2 units compared to f(x)
g(x) is translated left 2 units compared to f(x)
g(x) is translated up 2 units compared to f(x)

Answers

the answer is: g(x) is translated down 2 units compared to f(x)

PLEASE HELP
A restaurant plans to use a new food delivery service. The food delivery service charges $5.48 for every 2 meals delivered, plus a $3.50 service fee. What is the slope of this situation?

A.2.74
B.3.50
C.5.48
D. 6.24

Answers

A. 2.74
Have a great day:)

if it takes you 2 hours to shape 48 baguettes, how many could you make in 30 minutes? how long would it take for you to make 1 baguette?

Answers

Answer:

12.  & 2.5mins

Step-by-step explanation:

2 hours = 120 mins for 48 baguettes.  so 120/48 = 2.5 mins per baguette

30 mins is 1/4 of 2 hours. so 12  baguettes

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Now they want to put him on trial and fine him again for the same incident. Can I be put on trial for the same crime twice?Why or why not?Which amendment applies? which of the following audio editing techniques refers to the creation of artificial digital sounds by digitally generating and combing slect frequencies of sound wavse your 74-year-old grandfather was recently diagnosed with parkinson's disease. initially, he will have difficulties with involuntary movement and motor coordination. one form of treatment is to provide medication that increases which neurotransmitter? appendages that propel bacterial cells through an aqueous environment include axial filaments and Discuss the issues related to computer in education. Oligopolists are tempted to produce more than the quantity that would maximize industry profits because when they increase output, A. the price effect is zero. B. the quantity effect is zero. C. the price effect equals the quantity effect. D. the price effect is larger than the quantity effect. E. the price effect is spread across multiple firms. A biologist is studying the plant diversity in 15 million acres of the Sierra Nevada Mountains. He will count the number of species in 150 acres. Match the strategies to their corresponding sampling techniques.The biologist goes to his 150 favorite hiking places and looks at an acres along each trail. The biologist orders the 15 million acres by latitude and then surveys every 100000th acre on the list. The biologist classifies the Sierras into 10 different ecological types and then makes sure that the proportion of each ecological type from the sample is the same as the proportion of that of the population. The biologist goes to 15 diverse locations that have 10 acres each and surveys all 10 acres for each of these 15 locations. The biologist enters the 15 million acres into a data base and had a computer randomly select 150 of these acres.Cluster SamplingSystematic SamplingConvenience SamplingStratified SamplingSimple Random Sampling Please helppp with this question Which of the following statements about the International Council of Nurses (ICN) are accurate? Select all that apply.A) ICN represents the global interests and concerns of the nursing profession.B) The mission of ICN is to maintain the role of nursing in health care through its global voice.C) ICN has, as members, nursing organizations from 130 countries representing 13 million nurses.D) ICN is a governmental organization.E) ICN employs Regional Nursing Advisors. Anjelica is becoming increasingly hungry during a long late-afternoon class. Certain cells in her hypothalamus are probably becoming especially active. True or false Find the Area of the figure below, composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place. a licensed insurance producer must notify the department of a change in mailing address within how many days and by what method? . a(n) blankis a stretch of dna consisting of an operator, a promoter, and genes for a related set of proteins, usually making up an entire metabolic pathway.target 1 of 7 2. theblankis/are arranged sequentially after the promoter.target 2 of 7 3. a(n) blankis a specific nucleotide sequence in dna that binds rna polymerase, positioning it to start transcribing rna at the appropriate place.target 3 of 7 4. a(n) blankcodes for a protein, such as Part of the criteria to achieve the socially efficient production level is for firms to only produce units of output thata) have higher prices than the benefits of using the productive resources.b) have more quantity demanded than quantity supplied.c) give more of the market surplus to producers than to consumers.d) are more highly valued by consumers than the associated productive costs. Solve the equation 14 (4x 24) + x = 14. a company invests $91,000 for equipment to produce a new product. each unit of the product costs $11.40 and is sold for $17.98. let x be the number of units produced and sold. (a) write the total cost c as a function of x.