Determine which integer will make the inequality 5x + 12 > 2x + 6 false.

S:{−3}
S:{3}
S:{−1}
S:{1}

Answers

Answer 1

Out of the given integer(s), {−3} is the integer which will make the inequality 5x + 12 > 2x + 6 false.

As per the question statement, we are supposed to determine which integer will make the inequality 5x + 12 > 2x + 6 false

Let's solve the inequality for range of x first,

5x + 12 > 2x + 6

5x - 2x > 6 - 12

3x > -6

x > -2

So for all values of x > -2, the inequality 5x + 12 > 2x + 6 is true and for all values of x < -2, the inequality 5x + 12 > 2x + 6 false.

And out of the given options only x = -3 < -2

Hence, we accept {−3} as our required integer.

Inequality: An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

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Answer 2

Answer:

S:{−3}

Step-by-step explanation:

Got it right on a test.


Related Questions

……………………………
3x + 7 = 2(x+1)+x

Answers

its 0=-5

ur mom lolololololoOLOOLOLLLLO

Determine the length of the missing side in the triangle shown.

right triangle with one leg labeled 11 and hypotenuse labeled 15

square root of 346
square root of 104
square root of 26
square root of 4

aspa pls thanks!

Answers

Answer:  square root of 104

Step-by-step explanation:

The length of the missing side in the right triangle is approximately √104.

Given is a right triangle with one leg labeled 11 and hypotenuse labeled 15.

We need to find length of the missing side.

To determine the length of the missing side in the right triangle, we can use the Pythagorean theorem.

It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the missing side as "x".

According to the given information:

One leg (one of the shorter sides) is labeled as 11.

The hypotenuse (the longest side) is labeled as 15.

Using the Pythagorean theorem, we can set up the equation:

11² + x² = 15²

Simplifying this equation:

121 + x² = 225

Subtracting 121 from both sides:

x² = 225 - 121

x² = 104

To find the value of "x," we can take the square root of both sides of the equation:

x = √104

Therefore, the length of the missing side in the right triangle is approximately √104.

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an ant starts from the origin (0, 0) of an xy-grid. each time it moves, it goes either up (50% chance) or right (50% chance) by one unit of distance. after 12 moves, what is the probability that the ant is located at the point (4, 8)?

Answers

The given ant can only go up or right here in every turn and as there is a 50% chance for either of

them, therefore each of the paths in 12 moves would be equally likely here.

As for each of the 12 steps here, there are 2 ways that the ant can move, therefore total number of

paths in 12 moves is computed as:

= 2^12 here.

We use the multiplication rule for independent events here to get the total number of outcomes here

by getting the product of the number of outcomes for each of those independent events.

Total number of 12 move paths such that we reach 4, 8 here is computed as the number of

permutation of 12 moves with 4 rights and 8 up points here. This is computed here as:

12!/(8!4!) = 495

Therefore, the probability that the ant is located at (4, 8) here is computed as:

=

495/(2^12)

= 0.1208

Therefore, 0.1208 is the required probability here

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y is inversely proportional to x.
when y = 80, x = 3
Work out x when y = 24

Answers

The most appropriate choice for proportionality will be given by

When y = 24, x = 10

What is proportionality?

Any relationship which maintains the same ratio is known as proportionality.

Proportionality can be of two types-

Direct Proportion and inverse proportion

Direct proportion

Two quantities are said to be  directly proportional, if on increasing the value of one quantity, the value of other quantity also increases and vice versa

For Example- Cost of a commodity and quantity of a commodity are direct proportional.

Inverse proportion

Two quantities are said to be inversely proportion, if on increasing the value of one quantity, the value of other quantity decreases.

For Example- Number of men and time taken by those men to do a certain work are inversely proportional.

Here,

y is inversely proportional to x

[tex]y = k \times \frac{1}{x}[/tex], where [tex]k[/tex] is an arbitrary constant known as proportionality constant

when y = 80, x =3

Putting the value of y and x in the above equation,

[tex]80[/tex] = [tex]k \times \frac{1}{3}[/tex]

[tex]k = 80 \times 3\\k = 240[/tex]

So [tex]y = 240 \times \frac{1}{x}[/tex]

when [tex]y = 24[/tex]

[tex]24 = 240 \times \frac{1}{x}[/tex]

[tex]x = \frac{240}{24}[/tex]

[tex]x = 10[/tex]

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A bag contains five white balls and four black balls. Your goal is to draw two black balls.

You draw two balls at random. What is the probability that they are both black?

Answers

Answer:

The probability that you draw two balls that are both black is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

To find probability, take the number of desirable outcomes over the total number of possible outcomes.

In this case, the black balls are desirable. There are four of them.

this means the numerator of the first fraction is 4. The denominator is the total possible outcomes or in this case the total number of black and white balls. This number is 9. The first probability fraction is [tex]\frac{4}{9}[/tex]

Lets say that the first one was black. Now we need to find the probability of drawing another one. Now there are black balls left in the bag. This means that the number of desirable outcomes is 3. There are also 8 balls total. This means the number of total possible outcomes is 8. The second probability is [tex]\frac{3}{8}[/tex]

To get the total probability you multiply both of the individual probabilities together.

[tex]\frac{4}{9} *\frac{3}{8} =\frac{1}{6}[/tex]

Write three fractions equivalent to \frac{9}{15}
Scale the numerator and denominator up for the first two and down for the third.
Scale up by: __ Equivalent fraction: __
Scale up by: __ Equivalent fraction: __
Scale down by: __ Equivalent fraction: __

Answers

(a) On scaling up by a factor of 2 , the equivalent fraction is 18/30.

(b) On scaling up by a factor of 3 , the equivalent fraction is 27/45.

(c) On scaling down by a factor of 3 , the equivalent fraction is 3/5 .

In the question ,

a fraction 9/15 is given ,

Part(a)

to scale up the fraction by a factor of 2 , we multiply the numerator and denominator by 2 .

On multiplying , we get

9/15 = (9*2)/(15*2) = 18/30 .

Part(c)

to scale up the fraction by a factor of 3 , we multiply the numerator and denominator by 3 .

On multiplying , we get

9/15 = (9*3)/(15*3) = 27/45 .

Part(c)

to scale down the fraction by a factor of 3 , we divide the denominator and numerator by 3 .

On dividing , we get

9/15 = (9/3)/(15/3) = 3/5 .

Therefore , (a) On scaling up by a factor of 2 , the equivalent fraction is 18/30.

(b) On scaling up by a factor of 3 , the equivalent fraction is 27/45.

(c) On scaling down by a factor of 3 , the equivalent fraction is 3/5 .

The given question is incomplete , the complete question is

Write three fractions equivalent to 9/15 .

Scale the numerator and denominator up for the first two and down for the third.

(a) Scale up by: __ Equivalent fraction: __

(b) Scale up by: __ Equivalent fraction: __

(c) Scale down by: __ Equivalent fraction: __

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Write the equation of a line using the given information:
Same slope as x=-2 and passes through the point (7,-1)

Answers

Answer:

y-y1=m(x-x1)

y+1=-2(x-7)

y+1=-2x+14

-1           -1

y=-2x+13

Step-by-step explanation:

5х +2y=10
5x+2y=20
Solve system by using either elimination or substitution

Answers

Answer:

No solution

Step-by-step explanation:

The method that will use is substitution

ill use the equation 5x+2y=10 and substitute into the other one

5x+2y=10

2y=10-5x

y=5-2.5x

Now we must insert this equation into another

5x + 2(5-2.5x) = 20

5x+10-5x = 20

10=20

10 does not equal to 20 so it has no solution

Please mark as brainliest

This is by using substitution method

What is the magnitude, ||v|| of vector v = (4, 3)?
F, √2
G, √6
H. 2√5
J. 5
K. 7

Answers

Answer:

J

Step-by-step explanation:

the magnitude of a vector (a, b ) is

[tex]\sqrt{a^2+b^2}[/tex]

then magnitude of vector v = (4, 3 ) is

| v | = [tex]\sqrt{4^2+3^2}[/tex] = [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5

Please help me answer this question as soon as possible

Answers

The image and preimage coincide when reflecting a figure in a line or a point. Every point of a figure is translated to an image across a fixed line via a reflection. The fixed line is referred to as the reflection line

Explain about line of reflection?

An image can be produced by the reflection of a shape along a line of reflection. The mirror line is another name for the reflection line.

Reflections move each shape's points down a line known as the line of reflection (sometimes informally called the mirror line). The distance between a point and its matching point in the image is the same.

Consider the case when the point (6, 7) is reflected across the line y = x. The reflected point's coordinates are (7, 6). Similar to reflections across

y = -x, reflections across y = -x involve not only reversing the order of the coordinates but also their signs. For instance, when reflected over the line y = -x, (8, -2) becomes (2, -8)

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Latoya works mowing lawns and babysitting. She earns $9.40 an hour for mowing and $8.10an hour for babysitting. How much will she earn for 4 hours of mowing and hour of babysitting?

Answers

Answer:

$45.70

Step-by-step explanation:

$9.40 four times and $8.10 1 time so 9.40 x 4 = 37.6 + 8.10 = 45.70

Solve for x
2(5x+3)=6x-3

Answers

Linear equations

2(5x + 3) = 6x -3

Apply the multiplicative law of distribution.

10x + 6 = 6x - 3

Rearrange the unknown terms on the left side of the equation.

10x - 6x = -3 - 6

Combine as terms

4x = -3 - 6

Calculate the sum or difference.

4x = -9

Divide both sides of the equation by the coefficient of the variable.

x = - 9/4

The answer is x = - 9/4. Because if we do the division, the result is not exact; means that the result is decimal.

Answer:

x = -9/4

Step-by-step explanation:

2(5x+3)=6x-3

10x + 6 = 6x - 3

10x - 6x = -3 - 6

4x = -3 - 6

4x = -9

The answer is x = -9/4

10k²=50 quadratic equation​

Answers

Answer:

see my photo. hope it can help

solve for x
7x + 12 - 6x = 5(2x+6)

Answers

Answer:

7×+12-6×=5(2×+6)=7×-6+12=10×+30=7×-6×-10×=30-12=9×÷9×=18÷9×=×=2

Given measurement of angle 8= 86° and measurement of angle 4= (4x + 2)°, what is the value of x ?

Answers

The value of x is 21 °.

What are the properties of parallel lines ?

1. The vertically opposing angle pairs are equal.

2. The related angle pairs are equivalent.

3. The alternative outside angle pairs are equivalent.

4. There is equality between the alternate interior angle pairs.

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.

Given: ∠ 8 = 86° and ∠ 4= (4x + 2)°

Since ∠4 = ∠8 { Because angles on the same side of the parallel sides are equal }

Thus when we equate these two we get ;

86 = 4x +2

4x = 84

x= 21

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List 2 ways that will not prove two triangles are congruent

Answers

Answer:

first way: 2 Angles and one side

second way: 2 sides and one angle

Answer:

Step-by-step explanation:

congruent triangles

how to tell if triangles are congruent using SSS, SAS, ASA, and AAS rules

why AAA and SSA do not work as congruence shortcuts

the Hypotenuse Leg Rule for right triangles

how to use CPCTC (corresponding parts of congruent triangles are congruent)

I’m 2020 summer camp registration was $15 more than it was in 2021 in 2020 registration was $285 by what percentage did the summer camp registration decrease in 2021

Answers

The summer camp registration decreased in 2021 by 5.26 percent.

The summer camp registration fee in 2020 was $285.We are given that the summer camp registration fee in 2020 was $15 more than it was in 2021.From the above data, we can find the summer camp registration fee in 2021.The summer camp registration fee in 2021 was $285-$15.The summer camp registration fee in 2021 was $270.We need to find the percentage decrease in the summer camp registration fee.The percentage decrease is (decrease/initial value)*100.The percentage decrease is (15/285)*100.The percentage decrease in the summer camp registration fee is 5.26 percent.

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Which of the following can be used to represent the domain and range of f(x) = |x|? I. Domain: x ∈ ; Range: y ≥ 0 II. Domain: {x|x ∈ }; Range: {y|y ∈ , y ≥ 0} III. Domain: (–∞, ∞ ) ; Range: [0, ∞)

Answers

The domain and range of f(x) = |x| are Domain: (–∞, ∞ ) ; Range: [0, ∞)

f(x) = |x| is the absolute value function.

It always gives non-negative function values.

The absolute value function is defined as,

|x| = { x ; if x ≥ 0

      { -x ; if x < 0

So this definition says that if x is a non-negative real number, then the function gives the non-negative value itself.

Also if x is a negative real number, then -x is a positive real number which is the outcome from the absolute value function for negative real numbers.

This function is defined for all real numbers. Hence the domain is all the real numbers which is (–∞, ∞ ).

But the range of the function are only non-negative real numbers as absolute value function gives only non-negative values. So the range is    [0, ∞).

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371 + 18x ≥ 566 solve for X

Answers

[tex]18x \geqslant 566 - 371 \\ 18x \geqslant 195 \\ \frac{18x}{18} \geqslant \frac{195}{18} \\ x \geqslant 10.8333333333[/tex]

YOU CAN EVEN WRITE IT IN THE FRACTION FORM .

BE REMINDED THAT <> CHANGE SIGN WHEN YOU DIVIDE OR MULTIPLY A NEGATIVE NUMBER ONLY.

HOPE THIS HELPS

Answer:

Step-by-step explanation:

18x ≥ 195 if equal to the answer is 10.83(3)


In Exercises 76, find an equation of the tagent line to
the graph of the function f through the point (xo, yo not on the
graph. To find the point of tangency (x, y) on the graph of f
solve the equation
76.
f(x) = 2/x
(xo, Yo) = (5,0)

Answers

The most appropriate choice for tangent to a curve will be given by- 2x + 25y = 10 is the required equation of tangent.

What is tangent to a curve?
In geometry, a tangent line is a straight line that most closely resembles (or "clings to") a curve at a particular point. It could be thought of as the limiting role of straight lines that pass through the specified point and a nearby curve point as the second point gets closer to the first. If two curves share the same tangent at a given point, they are said to be tangent. Similar definitions apply to the tangent plane to an exterior at a point and two surfaces that are tangent at a point.



Equation of  tangent to a curve at a point [tex](x_1, y_1)[/tex]  is given by

[tex]y-y_1 = \frac{dy}{dx}|_{(x_1, y_1)}(x - x_1)[/tex]

Here,
f(x) = [tex]\frac{2}{x}[/tex]
f'(x) = [tex]\frac{d}{dx} (\frac{2}{x})[/tex]

     = [tex]2(-1)x^{-1-1}\\-2x^{-2}[/tex]

[tex]f'(x)|_{(5, 0)} = -\frac{2}{5^2}[/tex]

               [tex]= -\frac{2}{25}[/tex]

Equation of tangent

[tex]y - 0 = -\frac{2}{25}(x - 5)\\\\25y = -2x +10\\2x + 25y = 10[/tex]

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x² + 6x-27=(x- -)(x +-)

Answers

Answer:

[tex] {x}^{2} + 6x - 27 = (x + 9)(x - 3)[/tex]

Answer:

x^2 + 6x - 27 = (x - 3) (x + 9)

Order the number least to greatest 1 8/25 1.3 5/4

Answers

When the given numbers are ordered from least to greatest, the result would be 8/25, 1, 5/4, 1.3

How to order numbers?

To be able to order the numbers, it would be best to convert them to the same form. In order words, all the numbers should either be decimals or fractions.

Decimals are easier to compare so convert them to decimals:

= 8 / 25                                                    = 5 / 4

= 0.32                                                      = 1.25

The numbers are:
1, 0.32, 1.3, 1.25

The order from least to greatest is:

0.32, 1, 1.25, 1.3

or:

8/25, 1, 5/4, 1.3

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Evaluate 8x - 4y when x = 2 and y = 3(b) o

Answers

EXPLANATION

Given the equation 8x -4y

When x=2 and y=3 the resulting expression would be as follows:

8*2 -4*3=

=16 - 12

= 4

The answer is 4

A construction company takes 1/8 hours to remove 1/4 metric tons of dirt from a construction site.

Answers

A construction company takes 1/8 hours to remove 1/4 metric tons of dirt from a construction site 2 metric tons in an hour.

What do you mean by tons?

Ton is the name of a number of different measurement units. It has a lengthy history and a variety of meanings and applications.

It mostly discusses weight units. Due to the ambiguous nature of what ton might mean.

2,240 pounds, or the long ton, the tonne, also known as a metric ton, which is 1,000 kilograms, and the short ton, which is 2,000 pounds.

Its original use as a volume measurement has persisted in terminology like the freight ton and several other units, with capacities ranging from 35 to 100 cubic feet (0.99 to 2.83 [tex]m^{3}[/tex]). The ton has recently been used for specialized purposes such as energy measurement and vehicle classification. It can also be used as a measure of energy or as a power unit in refrigeration; this is commonly referred to as a ton of refrigeration.

Due to the fact that the ton (of any system of measuring weight) is typically the heaviest unit specified in informal speech, its word also has figurative usage, singular and plural, figuratively signifying a big amount or quantity, or to a great degree, as in "We have a ton of homework, there are a ton of bees in this hive, and I really, really adore you."

The best way to do this is to convert all fractions to decimals. Problem starts out looking like this.

Formula

Rate = Tons removed / hours

Tons Removed = 1/4 metric ton

Time taken = 1/8 hour

rate = [tex]\frac{\frac{1}{4} }{\frac{1}{8} }[/tex]

Rather than doing it with the fractions, it is much easier to do it with decimals

1/4 = 0.25

1/8 = 0.125

Now what we get is rate = 0.25 / 0.125 = 2

So, now 2 metric tons can be removed in an hour

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suppose we take a poll (random sample) of 3604 students classified as juniors and find that 3059 of thembelieve that they will find a job immediately after graduation. what is the 99 % confidence interval for the proportion of gsu juniors who believe that they will,immediately, be employed after graduation.

Answers

The 99% confidence interval for the population proportion p is 0.833< p < 0.863.

Given that,

x = 3059

n = 3604

Point estimate = sample proportion = x / n =3059/3604=0.848

[tex]1 - \hat p[/tex]  = [tex]1-0.848 =0.152[/tex]

At 99% confidence level the z is ,

[tex]\alpha[/tex] = 1 - 99% = 1 - 0.99 = 0.01

[tex]\alpha[/tex]/ 2 = 0.01 / 2 = 0.005

[tex]Z\alpha[/tex]/2 = [tex]Z*0.005[/tex] = 2.576  (  Using z table   )

Margin of error = E = [tex]Z\alpha / 2 * (\sqrt(((\hat p * (1 - \hat p)) / n)[/tex]

                              = [tex]2.576* (\sqrt((0.848*0.152) /3604 )[/tex]

                               =0.015

A 99% confidence interval for population proportion p is ,

[tex]\hat p - E < p < \hat p + E[/tex]

0.848-0.015< p <0.848+ 0.015

0.833< p < 0.863

Hence, the 99% confidence interval for the population proportion p is 0.833< p < 0.863.

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David leaves the house to go to school. He walks 200 m west and 45 m north. how far away is he from his starting point?​

Answers

Step-by-step explanation:

...............

............

5ljhgfghjkjhghjkjhgfghjhi xbhljxjhgv sgdx

Answers

I believe the 5/sgdx would have the meaning of a fraction that is unwanted…

Multiply.
3y^2(-5y^4)
Simplify your answer as much as possible.

Answers

Answer:

[tex]\boxed{\sf{-15y^6}}[/tex]

Step-by-step explanation:

To solve this, you have to use a distributive property to multiply the numbers from left to right.

Distributive property:

A(B+C)=AB+AC

A(B-C)=AB-AC

[tex]\sf{3y^2\left(-5y^4\right)=-3y^2* 5y^4}[/tex]

Multiply.

-3*5=-15

-15y²y⁴

[tex]\sf{y^2y^4=y^2^+^4=y^6}[/tex]

=-15y⁶

Therefore, the final answer is -15y⁶.

I hope this helps, let me know if you have any questions.

30% of a sum of money is rupees 300. what is the total amount?
step by step explanation please
subject: linear equations in math

Answers

the total amount is 9000

an article suggests the uniform distribution on the interval (6.5, 21) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. (a) what are the mean and variance of depth? (round your variance to two decimal places.)

Answers

The meand and variance are 13.75 cm and 17.52 respectively.

Each possible outcome is equally likely when there is a uniform probability.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform distribution is:

M = ( a + b ) / 2

The variance of the uniform distribution is given by:

V = ( b - a )² / 12

Uniform distribution on the interval ( 6.5, 21 )

Therefore, a = 6.5 and b = 21

Hence, the mean will be:

M = ( 6.5 + 21 )/ 2

M = 27.5 / 2

M = 13.75

The mean of depth is 13.75 cm.

The variance will be:

V = ( b - a )² / 12

V = ( 21 - 6.5 )² / 12

V = 210.25 / 12

V = 17.52

The variance of depth is of 17.52 cm².

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An automobile salesperson uses ________ when it accesses a mobile system to obtain the latest information on consumer demand for electric vehicles. 11. Write an e-mail with one of the following messages, observing the guidelines discussed in this chapter. a. You have just made a big sale and you want to inform your boss. b. You have just lost a big sale and you have to inform your boss. c. Tell a co-worker about a union or national sales meeting. d. Notify a company to cancel your subscription to one of its publications be- cause you find it to be dated and no longer useful in your profession. e. Request help from a listserv about research for a major report you are preparing for your employer. f. Advise your district manager to discontinue marketing one of the com- pany's products because of poor customer acceptance. g. Send a short article (about two hundred words) to your company's online newsletter about some accomplishment your office, department, or section achieved in the last month. h. Write to a friend studying finance at a German, Korean, or South American university about the biggest financial news in your town or neighborhood in the last month. We would like to estimate the proportion of uf students who owns a scooter to within 1% of the truth, with 95% confidence. We believe around 20% of students do. How many students should be sampled?. Under her cell phone plan, Mei Mei pays a flat cost of $46 per month and $5 pergigabyte. She wants to keep her bill under $70 per month. Write and solve aninequality which can be used to determine g, the number of gigabytes Mei Mei canuse while staying within her budget. Please help me I beg you I love you! Determine an equation of the line that is perpendicular to the tangent to the graph y=1/x at x=2 and intersects at the point of tangency. find the value of the misssing variables im pretty sure the answer is either a or c Were the Indigenous Societies of North America complex prior to European contact? Give reasons for your answer. PLEASE YALL HELP ME You order a glass of lemonade, 150 mL, in a restaurant only to discover that it is warm and too sweet. The sugar concentration of the lemonade is 2.27 M but you would like it to be reduced to a concentration of 1.88 M.How many moles of sugar are in the lemonade solution? May I please get help with this. For I am confused as to how i can get the correct answers as Ive tried may times Given: C = 200 + .75(Yd), initial equilibrium = $6000, the target full-employment equilibrium = $9000. e. Starting from the initial equilibrium of $6000, by how much would G have to be increased to reach the target Y?f. Starting from the initial equilibrium of $6000, by how much would T have to be decreased to reach the target Y? What is a difference between systemic and pulmonary circulation? A. Systemic circulation carries deoxygenated blood to the body and pulmonary circulation carries oxygenated blood to the lungs. B. Systemic circulation carries deoxygenated blood to the lungs and pulmonary circulation carries oxygenated blood to the body. C. Systemic circulation carries oxygenated blood to the lungs and pulmonary circulation carries deoxygenated blood to the body. D. Systemic circulation carries oxygenated blood to the body and pulmonary circulation carries deoxygenated blood to the lungs.Reset Next Consider the following sequence: 7,14,28,56,... find a19 Plan an Investigation How could you determine whether the water that a plant usesduring photosynthesis comes from the soil or from the atmosphere?1. if authorities believe that the natural rate of unemployment is lower than it actually is and pursue fiscal policies to move economic output to what they believe full employment to be, then which of the following is most likely to occur in the long run? a. an increase in the unemployment rate. b. a recession. c. an increase in the inflation rate. d. a depression. A turntable turning at rotational speed 78 rpm stops in 45 s when turned off. The turntable's rotational inertia is 1.2 102kgm2.Determine the magnitude of the resistive torque that slows the turntable. why is it important for american media to more accurately represent the diversity in our country, especially through popular media sources Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. If the picture frame is 21 1 over 4 inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? First, estimate the amount and then find the exact measurement. In two or more complete sentences, explain how you solved the problem. You may include a diagram in your explanation if you wish. What is the slope of the line that passes through the points (10, 4) and(7, 3)? Write your answer in simplest form. A recipe calls for 4 apples to serve 6 people. If Jack is planning to serve a crowd of 33 people, how many apples should he use?