f(x) = 3 x + 1 and g (x) = 2x - 3. find g (f(x))

Answers

Answer 1

Answer:

6x -- 1

Step-by-step explanation:

To Solve for g(f(x)), bear in mind

f(x) = 3x + 1

g(x) = 2x -- 3

g(f(x)) = 2x -- 3. (Calm down right?)

Let x = f(x).

if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)

g(f(x)) = 2(3x + 1) -- 3

g(f(x)) = 6x + 2 -- 3

g(f(x)) = 6x -- 1

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Answer 2

Answer:

Step-by-step explanation:

To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).  

1. First, identify the x in g(x) and replace it with the function of f(x)

g(x)=2x-3; so g(f(x))= 2(3x+1) -3

2. Simplify the equation by distributing the 2 and combining like terms.

2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with

g(f(x))=6x-1


Related Questions

please help. I will do anything.

Answers

Answer:

216 miles

Step-by-step explanation:

so the base fee is 18.99, subtract the total (219.87) by 18.99.

219.87-18.99=200.88

200.88 divided by 0.93 (charge for each mile driven)

200.88/0.93=216

thats a lot of miles.

a trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 10 m long. water is being pumped into the trough at a rate of 2 m3/min. at what rate (in m/min) does the height of the water change when the water is 4 m deep?

Answers

a trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 10 m long. then the height of the water change when the water is 4 m deep is 1/8 m/min

The depth of the water is 4/5 of the depth of the trough, so the width of the surface will be 4/5 of the width of the trough:

 4/5 × 2 m = 8/5 m

Then the surface area of the water is ...

 Area = LW = (10 m)(8/5 m) = 16 m²

The rate of change of height multiplied by the area gives the rate of change of volume:

 2 m³/min = (16 m²)(h')

 h' = (2 m³/min)/(16m²) = 1/8 m/min

Hence , the height of the water change when the water is 4 m deep is 1/8 m/min

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fill in the blank question. julia wants to purchase a pair of headphones that are on sale for $42.79. the sales tax rate in her county is 6%. calculate the amount of sales tax julia will pay on the purchase. round to the nearest cent if necessary.

Answers

julia wants to purchase a pair of headphones that are on sale for $42.79. the sales tax rate in her county is 6%. then Julia have to pay $2.57 as sales tax on purchase of headphones.

Given,

The cost of headphones which Julia wants to purchase on sale = $ 42.79

The sales tax in Julia's country = 6%

We have to calculate the amount of sales tax Julia will pay on the purchase:

That is,

Sales Tax Value = Percentage of sales tax × Price of headphones

Sales Tax Value = (6 / 100) × 42.79

Sales Tax Value = 0.06 × 42.79

Sales Tax Value = 2.5674

Sales Tax Value ≈ 2.57

Therefore, Julia have to pay $2.57 as sales tax on purchase of headphones.

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Elizabeth brought a box of donuts share there are two dozen donuts in the box all identical in size shape and color two are jelly filled seven are lemon filled and 15 are custard fill you randomly select one donut eat it and select another doughnut. find the probability of selecting two lemon filled donuts in a row

Answers

The probability of selecting two lemon filled donuts in a row is 7/92.

What is the probability?

Probability is used to determine the odds that a random event would happen. The odds that the random event happens has a probability value that lies between 0 and 1. If it is certain that the event would happen, the probability value would be 1. If it is certain that the event would not happen, the probability value is 0.

The donuts are picked without replacement because the donut are eaten as they are picked.

Probability = (number of lemon filled donuts / total number of donuts) x [(number of lemon filled donuts / total number of donuts) - 1]

(7/24) x (6/23) = 7/92

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Find the orthocenter of AABC.
A(3,5), B(6,5), C(5,3)

Answers

Answer:

(5, 4)

Step-by-step explanation:

What is Orthocenter?

A point where the altitudes of the triangle meet is known as the point of concurrency or simply the orthocenter of the triangle

f(n) = n - 7
f(-9k) =

Answers

Answer:

[tex]-9k-7[/tex]

Step-by-step explanation:

Replace n with -9k.

The graph shows the distance traveled by a bicycle rider.
She moves at a constant speed. Find the slope of the line.

Answers

the slope would be 1x

My mom has grounded me and I need a better grade ASAP please help

Answers

Answer:

p = 11

Step-by-step explanation:

This Question tests on the concept of Angle Properties.

Given from the diagram above, we can form up a equation:

4p + 7 + 90 + 3p + 6 = 180 (Sum of Angles in a Triangle)

Now we can solve for p from the equation.

[tex]4p + 7 + 90 + 3p + 6 = 180 \\ 7p + 103 = 180 \\ 7p = 180 - 103 \\ 7p = 77 \\ p = \frac{77}{7} = 11[/tex]

please answer this question with method

Answers

Answer:

see explanation

Step-by-step explanation:

the volume (V) of the container is

V = 10 × 4 × 5 = 200 m³

change the dimensions of the box to m , to be same as container

l = 50 cm = 0.5 m , b = 40 cm = 0.4 m , h = 20 cm = 0.2 m

then

volume of box = 0.5 × 0.4 × 0.2 = 0.04 m³

Number of boxes that can be stored in container is

200 ÷ 0.04 = 5000

thus no more than 5000 boxes can be placed in the container

Elizabeth plans to hand out door prize as the guests arrive. Every 6th guest will receive a mug, and every 14th year guest will receive a t-shirt. How many mugs and t-shirts should Elizabeth order?


BTW 256 ppl are going to the party, I’m not sure if this is relevant to the question or not

Answers

Using proportions, it is found that Elizabeth should order 42 mugs and 18 t-shirts.

What is a proportion?

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the unit rates, then operations such as multiplication or division are used to find the equivalent amounts.

In the context of this problem, we have to consider that:

256 people are going to the party.One in six people will receive a mug.One in 14 people will receive a t-shirt.

Hence the number of mugs that she has to order is found as follows:

256/6 = 42 (rounded down, as the remainder means that the last guest to receive a mug is the 252th guest).

The number of t-shirts that she has to order is given as follows:

256/14 = 18 (also rounded down, following the same logic as the number of mugs).

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step by step explanation long divison 9 divided by 1557

Answers

Answer:

Step-by-step explanation:

9 divided by 1557

(Tell me if you mean 1557 divided by 9 lol the wording is strange :] )

See screenshot!

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.

Answers

The statement that is best supported by the graph is; Jillian's car holds more gasoline, but Nikki's car gets better gas mileage.

How to Interpret Linear Graphs?

The total amount of gasoline each car tank can hold is shown on the left of each graph on the y-axis.

Jillian's car holds 22 gallons.

Nikki's car holds 20 gallons.

Jillian's car holds more gasoline.

Now we need to see which car gets better gas mileage. Getting better gas mileage means you can go farther with each gallon of gas.

With Jillian's car, after using 22 gallons of gas, you have gone 350 miles, and the gas tank is empty.

350 miles with 22 gallons is 350/22 = 15.9 miles per gallon.

With Nikki's car, you start with only 20 gallons. By the time you drive 350 miles, you still have some gas left. Not only did you start with less gas, 20 gal vs. 22 gal, but after driving the same distance, 350 miles, there is still some gas left in the tank, 6 gallons.

That means Nikki's car used 20 - 6 = 14 gallons to drive 350 miles. 350/14 = 25 miles per gallon.

The more miles per gallon you get, the better the mileage. Thus;

25 miles per gallon is better mileage than 15.9 miles per gallon.

Nikki's car has a smaller gas tank, but it gets better mileage.

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can anyone decompose 240 - 135 = 105 ?

need new calculation after decomposing? help

Answers

The decomposition of 240 - 135 = 105 will be 15(16 - 9) = 15(7) = 105

What is decomposition?

It should be noted that decomposition simply means breaking down of the numbers that are given or illustrated.

It should be noted that the numbers 240 - 135 = 105 all have a common factor of 15. This will be broken down as:

240 - 135 = 105

15(16 - 9)

= 15(7)

= 105

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5.45 divided by 65
If rounding show answer.

Answers

Step-by-step explanation:

1) 5.45 ÷ 65

2) 109/20 x 1/65=

3) 109/1300 or 0.08384615

digital
RÁCTICA
suelve cada ecuación. VER EJEMPL
-4x+3x = 2

Answers

Answer:4/3-2

Step-by-step explanation:

a. Find the length of each side of the quadrilateral. What do you notice?
b. Find the slope of each side of the quadrilateral. What do you notice? Are any sides parallel or perpendicular?
c. Find the length of each diagonal (the segment that goes from one vertex to an opposite verter), What do you notice?
d. Find the slope of each diagonal. What do you notice?
(1. List the properties that you find, (Ex. Are all sides congruent? Perpendicular? Etc)

Answers

(a) AB, BC, CD, and DA are, respectively, and long.

(b) AB, BC, CD, and DA have slopes of 0, 0, and 2, respectively.

(c) AC and BD have lengths of 8 and 72, respectively.

(d) AC and BD have slopes of 1 and 1, respectively.

What is quadrilateral in math?

A quadrilateral is a polygon having four sides, four angles, and four vertices.

There is a quadrilateral called ABCD.

The quadrilateral's vertices are A(3,5), B(7,7), C(5,3), and D. (1,1).

The side AB measures [(3-7)2 + (5-7)2] = 20.

The side BC measures [(7-5)2 + (7-3)2]. =√20 .

The side CD measures [(5-1)2 + (3-1)2] in length. = √20.

The side DA measures [(1-3)2 + (1-5)2] = 20 in length.

The diagonal AC measures [(3-5)2 + (5-3)2] = 8 in length.

The diagonal BD is [(7-1)2 + (7-1)2] in length. =√72 .

The slope of side AB is equal to 1/2 (7-5)/(7-3)

The slope of the side BC is equal to zero (7-3)/(7-3)

The side CD has a slope of (3-1)/(5-1) = 1/2.

DA's side has a slope of (5-1)/(3-1) = 2.

The sides AD and BC are parallel to one another and have the same length.

Equal in length and parallel to one another are sides AB and CD.

Each side is parallel to the side next to it.

As a result, we draw the conclusion that ABCD is a quadrilateral.

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EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
7, 4, 1, -2, ...

Answers

The nth term of the arithmetic sequence when the numbers given are 7, 4, 1, -2 is 6 - 3n.

What will the sequence be?

It should be noted that an arithmetic sequence has a common difference. In this case, the values that are given include 7, 4, 1, -2.

First term = 7

The common difference between the numbers include:

= Second term - First term

= 4 - 7

= -3

The nth term will be:

= a + (n - 1)d

where a = 7

d = -3

= a + (n - 1)d

= 7 + (n - 1) -3

= 7 -3n - 1

= 6 - 3n

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PLEASE HELP ILL GIVE BRAINLIEST ITS TIMED

Answers

The value of x is 18 and the value of ∠A (interior angle) is 73°.

According to the given figure,

We have:

∠A = 6x-35°

∠B = 3x+53°

The two parallel lines have been cut by another line.

(Note that when a line divides two parallel lines then the sum of the interior angles on the same side is 180° and the alternate interior angles are equal to each other.)

So, we will have the following expression:

∠A + ∠B = 180°

(6x-35+3x+53)° = 180°

9x+18 = 180

9x = 180-18

9x = 162

x = 162/9

x = 18

Now, putting the value of x in ∠A,

∠A = 6x-35°

∠A = (6*18-35)°

∠A = (108-35)°

∠A = 73°

Hence, the value of x is 18 and the measurement of ∠A is 73°.

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HELP PLS I NEED THIS TODAY

What are the similarities and differences between number 1 and 3?

What are the similarities and differences do you see between 3 and 4

For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous

WILL GIVE BRAIN

Answers

Answer:

1 and 3

Similarity: Both are odd numbers

differences:  3 > 1  

3 and 4

Similarity: Both are Consecutive natural numbers

differences: 3 is an odd number and 4 is an even number

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Assume that a new lithium isotope, 8Li, is identified. It is a trace isotope, meaning that it exists in a very tiny quantity. How will this discovery affect the atomic mass of lithium?

Answers

Since the isotope has only a very little amount in nature, it does not largely affect the  atomic mass of lithium.

What is an isotope?

The term isotope has to do with the atoms of the same element that do have the same atomic number but different mass numbers. The implication of this is that isotopes have the same number of protons but do not have the same number of neutrons.

Note that the average atomic mass of an atom is the weighted average of the atomic masses of all the isotopes of the compound. The isotopes that contribute greatly towards the atomic mass are those that have a larger percentage abundance.

Given that the new lithium isotope, 8Li identified  is a trace isotope, meaning that it exists in a very tiny quantity, it does not any noticeable effect on the  atomic mass of lithium.

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What is the converse of the following conditional statement?

"If a person is a teenager, then the person is 13 years old or older."

Determine the validity of the converse and give a counterexample if the converse is not valid.

If a person is not a teenager, then the person is not 13 years old or older. The converse is invalid; a counterexample is a person who is 12 years old.
If a person is 13 years old or older, then the person is a teenager. The converse is invalid; a counterexample is a person who is 20 years old.
If a person is a teenager, then the person is 13 years old or older. The converse is valid.
If a person is 13 years old or older, then the person is a teenager. The converse is valid.

Answers

The converse statement is "If a person is 13 years old or older, then the person is a teenager. The converse is valid" . Option D

What is a  converse statement?

The converse of a conditional statement is defined as a statement that is formed when the hypothesis and conclusion of a sentence are both reversed or interchanged.

If the conditional statement is expressed as a → b

The converse statement is referred to as b → a

It is important to note that the original statement must be a conditional statement for a converse statement to derived from it.

Given the conditional statement:

"If a person is a teenager, then the person is 13 years old or older."

The converse statement would be written as;

If a person is 13 years old or older, then the person is a teenager.

We can see that the converse statement is valid because anyone that is 13 or older is a teenager

Hence, the converse statement is valid. Option D

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Which equation represents a line which is parallel to the line
y = 1/2x +3

Answers

Equation represents a line which is parallel to the line

y = 1/2x +3 with (2,5)

Since you are looking for an equation that is parallel to a line, the slope is the same: m = 1/2

Use Point-Slope equation [y-y1 = m(x-x1)]

with the given point (2,5): y-

5=1/2(x-2)

Distribute the 1/2: y-5=1/2x-1

Move the 5 to the other side to put it in y=mx+b form: y=1/2x-1+5

Answer:

y=1/2x+4

A parallel equation can be located in what way?

In the absence of an intersection, two lines are said to be parallel. Each line has the same slope. In the event that m1=m2, f(x)=m1x+b1 and g(x)=m2x+b2 are parallel. If m 1 = m 2, then f (x) = m 1 x + b1 and g (x) = m 2 x + b2 are parallel.

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Expand and simplify the expression using properties of operations. 8(3x−7)

Answers

The expression 8 ( 3x - 7 ) when expanded gives 24xx - 56.

The cornerstone of mathematics is the theory of operations; we use it to compute and remember fundamental truths. The subsequent three characteristics are applied to addition and multiplication: Commutative Property, Associative Property, and Distributive Property.

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.

Consider the expression 8( 3x - 7 ),

Let's say y is equal to 8( 3x - 7 ).

By using the distributive property:

y = 8 × 3x - 8 × 7

y = 24x - 56

Therefore,

8( 3x - 7 ) = 24x - 56

Therefore, when the expression 8( 3x - 7 ) is expanded we obtain the expression 24x - 56.

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What mental math method will give you the correct answer to 136 + 98?

Answers

So basically 130+90=220 and 6+8=14. And 220+14=234.

136+100 = 236
And 236-2 = 234

Find a relation between x and y such that the point (x, y) is equidistant from the point (2, -5) and (-2,9).​

Answers

Answer:

(0,2)

Step-by-step explanation:

x  = [tex]\frac{2-2}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0  We are finding the average of the x values (2 and -2)

y = [tex]\frac{-5+9}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2  we are finding the average of the y values (-5 and 9)

The relation between x and y such that the point (x, y) is equidistant from point(2, -5) and(-2, 9) = 2x + 7y = -14

Points (2, -5) and (-2, 9).

let (x, y) be A

Let (2, -5) = (-2, 9) = B

Ax = Bx (length)

Squaring on both sides

Ax² = Bx²

By distance formula

(x - 2)² + (y +5)² = (x + 2)² + (y - 9)²

x² - 4x + 4 + y² +10y + 25 = x² + 4x + 4 + y² - 18y + 81

8x + 28y = -56

by multiplying both sides by 4

2x + 7y = -14

This is the relationship between the points (x, y) which is equidistant to A and B.

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Mark reads 42 pages of a book every 3/4hour wright a quation that models the relationship between x ,the number of hours Mark reads, and y, the number of pages of the book he reads

Answers

Equation is y= 56x that models the relationship between x ,the number of hours Mark reads, and y, the number of pages of the book he reads.

What is rate of change?

The term rate of change (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.

Given Data

The hours are indicated by = x

The calculation for the number of pages is =y

Read 42 pages every [tex]\frac{3}{4}[/tex] hour

You can model the equation as follows:

y = mx +b

Rate of change = [tex]\frac{change in y}{change in x}[/tex]

Rate of change = 42 ÷[tex]\frac{3}{4}[/tex]

Rate of change = 42 ×[tex]\frac{4}{3}[/tex]

Rate of change = 56

Equation y= 56x

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Identify the x-intercept and y-intercept for the equation 10x+5y=30

Answers

Considering the definition of a line, x-intercept and y-intercept, the  x-intercept and y-intercept are (3, 0) and (0,6) respectively.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

y-intercept and x-intercept

The point [y-intercept] is where the line crosses the y-axis, and occurs when x = 0.

The point [x-intercept] is that value of x for which the expression is equal to 0 and the line crosses the x-axis.

y-intercept and x-intercept in this case

In this case, the line is 10x +5y=30. Expressed in the form y = mx + b, you get:

5y= 30 - 10x

y= (-10x + 30)÷5

y= -10/5x + 30/5

y= -2x +6

where:

m= -2b= 6

The point [y-intercept] is represented by the value of the y-intercept b. So the point [y-intercept] is (0,6).

Being the point [intersection x] that value of x for which the expression is equal to 0 or y is equal to 0, in this case it is calculated as:

0= -2x + 6

-6= -2x

(-6)÷ (-2)= x

3=x

Finally, the point [x-intercept] is (3,0).

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2x-5 > -11 or -10x - 6 ≥ 44

Answers

The solution of given inequalities are x > -3 and x ≤ 5.

How do you solve an inequality?

When resolving an inequality, you can do one of the following: add the same amount to each side; deduct the same amount from each side; multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide each side by a negative number.

Given inequalities are 2x - 5 > -11 and -10x - 6 ≥ 44.

To solve the first inequality,

2x - 5 > -11

Adding 5 on both sides,

2x - 5 + 5 > -11 + 5

2x > -6

Divide both sides by 2,

x > -3

To solve the second inequality,

-10x - 6 ≥ 44

Adding 6 on both sides,

-10x - 6 + 6 ≥ 44 + 6

-10x ≥ 50

Divide both sides by -10, and change the inequality sign

x ≤ 5

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A local college wants to test the water quality by performing a survey. Which description describes what they should collect?

the tap water quality at one house
the tap water quality at one local store
the river water quality by collecting water in the same spot
the river water quality by collecting water in different spots

Answers

The description that describes what they should collect is “the river quality by collecting water in different spots.”
The local college should test the water quality by performing tests on the reviver quality but in different areas.

Sue picks a new password for her email that consists of 3 letters, 2 digits, and a special character (! or #). Letters and digits cannot repeat. How many different passwords are possible?
12
2,808,000
2,246,400
3120​

Answers

There are different 2,808,000 passwords possible which are the correct answer would be option (B)

What is a permutation?

A permutation is defined as a mathematical process that determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

Sue picks a new password for her email that consists of 3 letters, 2 digits, and a special character (! or #) which is given in the question.

As per the given condition,

For the first letter, we have 26 options.

For the second letter, we have 25 options, because one letter is already used.

For the third letter, we have 24 options, because 2 letters are already used.

For the first digit, we have 10 options.

For the second digit, we have 9 options, because one is already used.

For the first special character (! or #), we have 2 options.

Then the total number of combinations is:

Combinations = 26×25×24×10×9×2 = 2,808,000

So if we can not repeat digits or letters, we can make 2,808,000 different passwords.

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4 to the power of minus 1 If the parent function f(x)=|x| is transformed to g(x)=|x|+4 what transformation occurs from f(x) to g(x) What did the guilotine symbolize? bree has to select a college major. she has always wondered about what makes people who they are and how people change over time. based on this, she might be interested in I need help with this Graphs of Quadratic Functions question. PLS HELP ME DUE TODAY what is the area of isoceles triangle What is the value of -3 + |-17|? Which of the following is a sustainable method of human societal development?A. Limiting unnecessary resource useB. Using only nonrenewable resourcesC. Degrading resources with pollutionD. Encouraging a throwaway culture Which of the following were resolutions passed by Federalist leaders at the Hartford Convention in December 1814?a. Require a two-thirds majority in Congress in order to declare war.b. Abolish the three-fifths rule.c. Sign an immediate peace treaty with Great Britain.d. New England would secede from the Union. Answer this please please Common methods of securing an IT system do NOT include A) protecting system integrity by using antimalware programs B) protecting data integrity by unblocking unauthorized access C) protecting data integrity by creating backups, entering and editing data correctly D) setting permissions to restrict access Name Line / Line Segment / RayJul 26, 6:43:31 PM?Name the figure below in two different ways.DSymbol:andO Why did President Wilson's decision to stay out of World War I in 1914 please many Americans? the process where an external qualitative methodology or topic area specialists (such as subject matter experts) are asked to review the research analysis is known as a the number of representatives (called for in the constitution of 1787) appears to be too few, either to communicate the requisite (required) information of the wants, local circumstances, and sentiments of so extensive an empire, or to prevent corruption and undue influences in exigencies (urgent need/demand) of such great powers Juliet brought 506 strawberries and watermelon. A few day later, she found that 1/3 or the strawberries and 10 watermelon were rotten. The remaining number of strawberries and watermelon were in the ratio of 2:1. How many strawberries were rotten? a 22-year-old client is admitted to room 13. he states that he does not want to remain in the room because the number will bring him bad luck. the nurse should: ____________ is a way to turn a company into a parent company with smaller retail outlets owned by independent operators.A.ManufacturingB.IncorporatingC.TaxingD.Franchising passage..............