If cosA = 3/5 and A ∈ (0,90), what is sin2A?

Answers

Answer 1

Answer:

[tex]\frac{24}{25}[/tex]

Step-by-step explanation:

Given

cosA = [tex]\frac{3}{5}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]

Then the opposite side using Pythagorean triple is 4, thus

sinA = [tex]\frac{4}{5}[/tex]

Using the trigonometric identity

sin2A = 2 sinAcosA, then

sin2A = 2 × [tex]\frac{4}{5}[/tex] × [tex]\frac{3}{5}[/tex]

         = [tex]\frac{2(4)(3)}{5(5)}[/tex] = [tex]\frac{24}{25}[/tex]

Answer 2

Answer:

[tex]\sin(2A)=\frac{24}{25}[/tex]

Step-by-step explanation:

Double angle identity for sine is

[tex]\sin(2A)=2\sin(A)\cos(A)[/tex].

We know [tex]\cos(A)[/tex]. We now need to find [tex]\sin(A)[/tex] to find our answer.

Recall the following [tex]Pythagorean Identity[/tex]:

[tex]\sin^2(A)+\cos^2(A)=1[/tex].

Replace [tex]\cos(A)[/tex] with [tex]\frac{3}{5}[/tex]:

[tex]\sin^2(A)+(\frac{3}{5})^2=1[/tex]

[tex]\sin^2(A)+\frac{9}{25}=1[/tex]

Subtract [tex]\frac{9}{25}[/tex] on both sides:

[tex]\sin^2(A)=1-\frac{9}{25}[/tex]

[tex]\sin^2(A)=\frac{25}{25}-\frac{9}{25}[/tex]

[tex]\sin^2(A)=\frac{25-9}{25}[/tex]

[tex]\sin^2(A)=\frac{16}{25}[/tex]

Now to finally get the value of [tex]\sin(A)[/tex] take the square of both sides:

[tex]\sin(A)=\pm \sqrt{\frac{16}{25}}[/tex]

Since [tex]A[/tex] is in the interval [tex](0,90)[/tex], then [tex]\sin(A)>0[/tex].

[tex]\sin(A)=\sqrt{\frac{16}{25}}[/tex]

[tex]\sin(A)=\frac{\sqrt{16}}{\sqrt{25}}[/tex]

[tex]\sin(A)=\frac{4}{5}[/tex]

So let's finally find the numerical value of [tex]\sin(2A)[/tex].

[tex]\sin(2A)=2\sin(A)\cos(A)[/tex]

[tex]\sin(2A)=2\cdot \frac{4}{5} \cdot \frac{3}{5}[/tex]

[tex]\sin(2A)=\frac{2(4)(3)}{5(5)}[/tex]

[tex]\sin(2A)=\frac{24}{25}[/tex]

Side note:

If [tex]A[/tex] is between 0 and 90 degrees, then we are in the first quadrant.

If we are in the first quadrant, both [tex]x=\cos(A)[/tex] and [tex]y=\sin(A)[/tex] are positive.


Related Questions

44k5 – 66k4 + 77k3 =

Answers

Are the numbers after the “K” exponents??

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The ordered pairs of A and C are not functions

Step-by-step explanation:

To determine if the ordered pairs are a function you look at the x values to see if they repeat. You don't want one input(x values) to lead to two outputs(y values). This would mean that you are never sure which output you will get.

In the answer A the x value "2" repeats, in the answer C the x value "1" repeats thus not making them functions.

ILL GIVE BRAINLEST AND POINTS​

Answers

Answer:

P'(2, - 2 )

Step-by-step explanation:

The translation rule

(x, y ) → (x + 9, y - 3 )

Means add 9 to the original x- coordinate and subtract 3 from the original y- coordinate, thus

P(- 7, 1 ) → P'(- 7 + 9, 1 - 3 ) → P'(2, - 2 )

Answer:

2,-2

Step-by-step explanation:

Lily bought 25.29 pounds of grapefruit. The lightest grapefruit weighed 1.4 pounds. The heaviest grapefruit weighed 1.6 pounds. Which is the best estimate of how many grapefruits she purchased? A. 19 B. 17 C. 10 D. 50

Answers

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33  (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49   (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058  (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33 (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49 (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058 (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

what is 1000 times 0.072 I need help​

Answers

Answer:

72

Step-by-step explanation:

If you move the decimal point 3 times, you get 72!

Answer:

72. the decimal point will move. (promise not copying) (the other person can get the credit though)

Step-by-step explanation:

What is 3(1+6r)=14-12

Answers

Answer:

r = 0.055555.....

Step-by-step explanation:

3(1+6r)=14-12        Write out formula.

3+18r=2                Distributive Property Form.

(3-3)+18r=2-3        Subtract 3 to both sides.

(18/18)r=-1/18         Divide both sides by 18

r=0.055555..... or -1/18.                    

What is the absolute value of the expression of negative 5X +12 when X equals five

Answers

Answer: 13

Step-by-step explanation:

x = 5

-5 (5) + 12

-25 + 12

-13

abs(-13) = 13

To find absolute value, solve the equation as is and then make the answer positive.  

Pia uses 6 cups of sugar to make 8 pies
At that rate , how much sugar will it take to make 12 pies

Answers

3 cups + the original 6 = 9 cups.

Answer:

The answer is 9 cups of water

Step-by-step explanation:

Negative 3 is twice as large as a number,h

Answers

Answer:

negative 6 is the answer

Step-by-step explanation:

Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Write and inequality to model the number of weeks,x, that he can withdraw $40 to maintain the minimum balance requirement.

Answers

Answer:

x is less than or equal to 24

Step-by-step explanation:

If 1000 divided by 40 equals 25, then you would want to stay under that.

so your next best bet is 24

then we just input our variable and sign

[tex]x \leqslant 24[/tex]

a cyclist rides his bike at a rate of 10 kilometers per hour.what is this rate in miles per hour? how many miles will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kiolmeters. Do not round your answers

Answers

Answer:

Step-by-step explanation:

Final answer:

A cyclist moving at 10 kilometers per hour is traveling at a rate of 6.25 miles per hour. Over 4 hours, the cyclist will travel a total distance of 25 miles.

Explanation:

To convert kilometers per hour to miles per hour, you have to divide the kilometers value by 1.6 (because it's given that 1 mile = 1.6 kilometers). So, if the cyclist is cycling at 10 kilometers per hour, this translates to 10 / 1.6 = 6.25 miles per hour.

Next, to find out how many miles the cyclist will travel in 4 hours, we'll simply multiply this rate by the time. So, 6.25 (miles per hour) * 4 (hours) = 25 miles.

Therefore, the cyclist, if maintaining a speed of 10km per hour, will travel 25 miles in a 4 hour time span.

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CAN SOMEONE PLEASE HELP ME

Answers

Answer:

3* 10⁵

Step-by-step explanation:

6* 10⁸ / 2 * 10³ = 3 * 10⁸⁻³ = 3* 10⁵

Given: ΔABC is a right triangle. AC = 20 BC = 5 Determine the length of the missing side of ΔABC. When applicable, simplify radicals and show all of your work.

Answers

Answer:

[tex]AB=5\sqrt{15}\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC

we have

[tex]AC=20\ units[/tex] ----> is the hypotenuse

[tex]BC=5\ units[/tex] ----> is a leg

[tex]AB=?\ units[/tex] ----> is a leg

see the attached figure to better understand the problem

Applying the Pythagorean Theorem

[tex]AC^2=AB^2+BC^2[/tex]

substitute the given values

[tex]20^2=AB^2+5^2[/tex]

solve for AB

[tex]AB^2=20^2-5^2[/tex]

[tex]AB^2=375[/tex]

[tex]AB=\sqrt{375}\ units[/tex]

simplify

we know that

[tex]375=(25)(15)=5^2(15)[/tex]

substitute

[tex]AB=\sqrt{5^2(15)}\ units[/tex]

[tex]AB=5\sqrt{15}\ units[/tex]

A motorboat traveling with a current can go 160km in 4 hours. against the current it takes 5 hours to go the same distance. find the speed of motorboat and speed of current

Answers

Final answer:

To find the speed of the motorboat and the current, two equations were set up based on the distances and times provided. The system of equations was solved to find the boat speed to be 36 km/h and the current speed to be 4 km/h.

Explanation:

The student is asking a question related to the mathematical concept of relative motion involving a motorboat and a current.

To solve this problem we can set up two equations based on the information given:

With the current: Distance = (Boat Speed + Current Speed) * TimeAgainst the current: Distance = (Boat Speed - Current Speed) * Time

Using the distances and times provided:

160 km = (Boat Speed + Current Speed) * 4 hours160 km = (Boat Speed - Current Speed) * 5 hours

We can solve this system of equations to find the values for Boat Speed and Current Speed.

Let the speed of the boat be b and the speed of the current be c. From equation (1), we can express c in terms of b:

c = 40 - b (1)

Substitute c from equation (1) into equation (2):

160 = (b - (40 - b)) * 5

160 = (2b - 40) * 5

160 = 10b - 200

360 = 10b

b = 36 km/h

So the speed of the boat is 36 km/h. Now we can find the speed of the current using equation (1):

c = 40 - b

c = 40 - 36

c = 4 km/h

The speed of the current is 4 km/h.

a pair of shoes with cost rupees 320 was sold at a loss of 5% what was the selling price if it is sold at profit of 20% find the gain percent if it were sold for Rs360​

Answers

Answer:

Please see the answer below:

Step-by-step explanation:

1. Loss 5%

Cost = Rs.320

Loss % = 5% = 0.05

Sale Price = Rs.320 - (Rs.320 x 0.05) = Rs.320 - Rs.16 = Rs.304

2. Profit 20%

Cost = Rs.320

Profit % = 20% = 0.20

Sale Price = Rs.320 + (Rs.320 x 0.2) = Rs.320 + Rs.64 = Rs.384

3. Sold for Rs.360

Cost = Rs.320

Sale Price = Rs.360

Gain % = (Rs.360 - Rs.320) / Rs.320 = Rs.40 / Rs.320 = 0.125

or

Gain % = 12.5%

Answer:

If sold at a loss of 5%, the selling price would be Rupee 304

If sold at a Profit of 20% the selling price would be Rupee 384

Step-by-step explanation:

Cost of shoes                                  =   Rupees 320

Loss incurred  (5% x 320)               =   Rupees   16

Price of shoe                                   = (320 - 16)  = 304  

The selling price if sold at a loss of 5% would be Rupees 304

IF SOLD AT A PROFIT OF 20%

Cost of shoes                                  =   Rupees 320

Loss incurred  (20% x 320)               =   Rupees   64

Price of shoe                                   = (320 + 64)  = 384  

The selling price if sold at a loss of 5% would be Rupees 384

                     

A pair of jeans is regularly $129.99, on sale for $90.99 before tax. What is the percent markdown?

Answers

The percent markdown is 30%

Step-by-step explanation:

Given

Regular price of jeans = r = $129.99

Sale price = s = $90.99

The percent markdown can be given by the formula:

[tex]percent\ markdown = \frac{Markdown}{Regular\ price}*100[/tex]

Where markdown = Regular price - Sale price

So,

[tex]Markdown = r -s\\= 129.99 - 90.99\\=39[/tex]

Putting the values in the formula

[tex]Percent\ Markdown = \frac{39}{129.99} * 100\\=0.300 * 100\\=30\%[/tex]

Hence,

The percent markdown is 30%

Keywords: Percentage, markdown

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Please help The triangles below are similar. Find the value of x. Show all work

Answers

Answer:

Step-by-step explanation:

The ratio is 12/8 or 3/2

So we can use proportions

3/2=x/15

x=22.5

Please help me on these two questions

Answers

[tex]\bf \begin{array}{|ll|ll} \cline{1-2} bridge&\stackrel{tons}{materials}\\ \cline{1-2} concrete&1,000\\ \textit{steel structure} & 400\\ \textit{glass and granite}&200\\ \cline{1-2} \end{array}\qquad \qquad \stackrel{~\hfill \textit{total weight}}{1000+400+200=1600} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \cfrac{\stackrel{\textit{steel structure}}{400}}{\underset{\textit{total weight}}{1600}}\implies \stackrel{\textit{simplified}}{\cfrac{1}{4}}~\hfill \cfrac{\stackrel{\textit{glass and granite}}{200}}{\underset{\textit{total weight}}{1600}}\implies \stackrel{\textit{simplified}}{\cfrac{1}{8}}[/tex]

The ratio of the number of hours it takes the three pipes A, B and C to fill an olympic pool is 4:9:12. Answer each of the following questions if it is known that the second pipe takes 72 hours to fill the pool.
b
How long would it take to fill the pool if pipes A and C work to fill the pool and pipe B drains the pool at the same rate as it would be filling it?

Answers

Answer:

36 hours

Step-by-step explanation:

A Gardner plants two trees
Type A is 9 feet tall and grows a rate of 17 inches per year
Type b is 2 feet tall and grows a rate of 24 in per year
Algebraically determine exactly how many years it will take for these trees to be the same height

Answers

Answer:

After 12 yrs the height of both trees type A and type B will be same.

Step-by-step explanation:

Given,

Height of Type A at the time of planting = [tex]9\ ft=9\times12=108\ in[/tex]

Height of Type B at the time of planting =  [tex]2\ ft=2\times12=24\ in[/tex]

Let the number of years be 'x'.

After 'x' years height of Type A = [tex]108+17x[/tex]

After 'x' years height of Type B = [tex]24+24x[/tex]

We have to find out the number of years will take for these trees to be the same height.

Now according to question, after 'x' years the height of plant type A and plant type B will be equal.

[tex]108+17x=24+24x[/tex]

Combining the like terms, we get;

[tex]24x-17x=108-24\\\\7x=84\\\\x=\frac{84}{7}=12\ yrs[/tex]

Hence After 12 yrs the height of both trees type A and type B will be same.

Which number line shows the solution set for |h-3|>5

Answers

Final answer:

The solution set for |h-3|>5 is h > 8 and h < -2, which on a number line is all values to the right of 8 and to the left of -2, with open circles at -2 and 8.

Explanation:

The question requires us to find the solution set for the inequality |h-3|>5 on a number line. To solve an absolute value inequality, we split the problem into two separate inequalities based on the definition of absolute value:

For h - 3 > 5, we add 3 to both sides to get h > 8.For h - 3 < -5, we again add 3 to both sides, which gives h < -2.

Therefore, the solution set on the number line includes all values to the right of 8 and all values to the left of -2. Remember, these are not included in the solution set because the inequality is strict (>). This means we use open circles or unshaded dots to represent -2 and 8, and shade the number line to the right of 8 and to the left of -2.

What is 8,147 ÷ 24 with a remainder

Answers

Answer:

339 R11

Step-by-step explanation:

8,147 ÷ 24 = 339 R11

Jill has four bags of marbles there are three red five green to yellow and 6 black marbles in each bag how many marbles does Jill have show how you found the answer...Helppp​

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾

3 x 4 = 12

5 x 4 = 20

2 x 4 = 8

6 x 4 = 24

12 + 20 + 8 + 24 = 64

She has 64 marbles  

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a rocking horse has a weight of 60 pounds. what percentage of the weight is 114 pounds?

Answers

Answer:

190% I believe, I hope this helped!

Step-by-step explanation:

The largest sandwich ever made weighed 5440 pounds. If everyone on Earth shares the sandwich equally, how much would you get? what fraction of a regular sandwich does this represent?

Answers

Answer: about 6.97

There are 7.8 billion people on earth. To find this answer, divide 5440 by 7.8 billion. This is equal (rounded) to 6.97

I attached an image below showing the google calculator with the answer

Hope this helps comment below for more questions :)

Final answer:

If everyone on Earth shared the largest sandwich ever made equally, each person would get approximately 0.00000069 pounds of the sandwich. This represents a fraction of 69/1,000,000,000 of a regular sandwich.

Explanation:

To find out how much each person would get if everyone on Earth shared the largest sandwich ever made equally, we can divide the weight of the sandwich by the population of the Earth. According to the most recent estimates, the population of the Earth is approximately 7.9 billion people.

So, if we divide the weight of the sandwich (5440 pounds) by the population of the Earth (7.9 billion), each person would get approximately 0.00000069 pounds or 0.00000031 kilograms of the sandwich.

To express this as a fraction of a regular sandwich, we need to compare it to the weight of a regular sandwich. Let's say a regular sandwich weighs 1 pound. In that case, the amount each person would get from the largest sandwich ever made represents a fraction of 0.00000069/1 or simply 69/1,000,000,000 of a regular sandwich.

Find three different pairs of fractions which multiply to 25/32.​

Answers

Answer:

Step-by-step explanation:

5/8*5/4=25/32

1/16*25/2=25/32

25/16*1/2=25/32

Final answer:

To find three different pairs of fractions that multiply to 25/32, start by factoring the numerator and denominator. Then pair up the factors to form fractions.

Explanation:

To find three different pairs of fractions that multiply to 25/32, we can start by factoring the numerator and denominator of 25/32. 25 can be factored as 5 * 5 and 32 can be factored as 2 * 2 * 2 * 2 * 2. We can then pair up the factors to form fractions:

5/2 * 5/2 = 25/45/2 * 5/32 = 25/645/2 * 1/4 = 5/8

So, three different pairs of fractions that multiply to 25/32 are 5/2 * 5/2 = 25/4, 5/2 * 5/32 = 25/64, and 5/2 * 1/4 = 5/8.

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Please solve question 75

Answers

Good evening ,

Answer:

(C) 36

Step-by-step explanation:

The length of the continuous solid path from P To Q = 3×(Length of the dashed line) = 3×(12) = 36 in.

:)

Answer: C) 36

=========================================

Explanation:

Check out the attached image below. Basically I drew out the given diagram and then I added the variables a,b,c,d,e,f,g. Those variables represent the side lengths of the 7 squares. Each square has a perimeter of 4*s where s is the side length, but we dont consider the side that is running along the dashed line (that connects P directly to Q). So we have 3 sides per square added up.

The first square has us travel a distance of 3*a, then the second square a distance of 3*b and so on. Overall, the total distance traveled is

3a+3b+3c+3d+3e+3f+3g = 3(a+b+c+d+e+f+g)

The goal is to figure out what a+b+c+d+e+f+g is equal to. This is equal to the length of segment PQ since the 7 letters are pieces of segment PQ (i.e., I'm using the segment addition postulate).

In other words,

a+b+c+d+e+f+g = 12

3(a+b+c+d+e+f+g) = 3*12

3(a+b+c+d+e+f+g) = 36

Total distance traveled = 36

12-2/3x=x-18 so how do you answer this question

Answers

Answer:

x=18

Step-by-step explanation:

12-2/3x=x-18

12-2/3x-x=-18

12-2/3x-3/3x=-18

12-5/3x=-18

5/3x=12-(-18)

5/3x=12+18

5/3x=30

x=30/(5/3)

x=(30/1)(3/5)

x=90/5

x=18

Answer:

x = 18

Step-by-step explanation:

[tex]12-\dfrac{2}{3}x=x-18\qquad\text{subtract 12 from both sides}\\\\12-12-\dfrac{2}{3}x=x-18-12\\\\-\dfrac{2}{3}x=x-30\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\left(-\dfrac{2}{3\!\!\!\!\diagup_1}x\right)=3\cdot x-3\cdot30\\\\-2x=3x-90\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\-2x-3x=3x-3x-90\\\\-5x=-90\qquad\text{divide both sides by (-5)}\\\\\dfrac{-5x}{-5}=\dfrac{-90}{-5}\\\\x=18[/tex]

Find the factorization of 180

Answers

Answer:

180=2^2×3^2×5

Step-by-step explanation:

We have to obtain the factors of 180 which are prime numbers

A prime number being a number with only 2 factors.That is 1 and the number itself.

For example 5 only has 2 factors 1 and 5⇒5=1×5

Here are the first few prime numbers

2,3,5,7,11,13,.....

A number which is not prime is a composite number. Composite numbers have more than 2 factors. All composite numbers can be expressed as a product of prime factors.

Answer:

5 x 2 x 2 x 3 x 3

Step-by-step explanation:

I basically did the prime factors of 18 which is  1, 2, 3, 6, 9, 18.  I broke it down elminated any other numbers not referring to the prime factor. Thats how you get your answer sorry if it's not a good explantion

Jeff is kepping Trace of his weight over several weeks. After 2 weeks, he weighs 194 pounds. After 6weeks , he weighs 186 pounds. Write and solve a linear equation to find Jeff’s weight after 12 weeks

Answers

The linear equation is y = -2 x + 198

Jeff’s weight after 12 weeks is 174 pounds

Step-by-step explanation:

Jeff is keeping Trace of his weight over several weeks

After 2 weeks, he weighs 194 poundsAfter 6 weeks , he weighs 186 pounds

We need to write a linear equation represents the Jeff’s weight, and find his weight after 12 weeks

The form of the linear equation is y = mx + b, where m is the slope of the line, and b is the y-intercept

The formula of the slope of a line which passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Let y represents Jeff's weight in x weeks

∵ After 2 weeks, he weighs 194 pounds

∴ [tex](x_{1},y_{1})[/tex] = (2 , 194)

∵ After 6 weeks , he weighs 186 pounds

∴ [tex](x_{2},y_{2})[/tex] = (6 , 186)

- Use these two points to find m

∵ [tex]m=\frac{186-194}{6-2}=\frac{-8}{4}=-2[/tex]

∴ m = -2

- Substitute the value of m in the form of the equation

∴ y = -2 x + b

- To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ x = 2 and y = 194

∴ 194 = -2(2) + b

∴ 194 = -4 + b

- Add 4 to both sides

∴ 198 = b

∴ y = -2 x + 198

The linear equation is y = -2 x + 198

To find his weight after 12 weeks substitute x by 12 in the equation

∵ x = 12

∴ y = -2(12) + 198

∴ y = -24 + 198

∴ y = 174

Jeff’s weight after 12 weeks is 174 pounds

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Mark Twains novel has been both banned as a disgrace and praised as a work beyond its time for addressing several controversial issues. Now that youve completed The Adventures of Huckleberry Finn, answer the following question.Who is the real hero of the novel? What are the characteristics of a hero that make this character such? Which of the following are the easiest changes for school-based weight programs to create among students?a) changes in nutrition and dietb) changes in physical activityc) changes in TV watchingd) changes in amount of time on the computer Erica is asked if it's ever appropriate for people to protest violently against the government. She replies, "Yes, there are cases where it might be ethical, such as if the government is acting abusively toward its citizens." By focusing on the larger ethical principle, Erica shows that she is in Kohlberg's _____ stage of moral development. Maria purchased 100 shares of JAX stock for $30 per share and sold this same stock one year later for $29 per share. She paid commissions of $50 when she purchased the stock and $45 when she sold the stock. Dividends of $2 per share were paid during the year. The capital loss on this stock transaction was______a.$100.b.$145.c.$150.d.$195. Carl Cornfield makes a payment on his tractor. What two lines of the balance sheet will this payment change? Which of the following is NOT one of the three main principles in biomedical research ethics?A. BeneficenceB. AutonomyC. MaleficenceD. Distributive justice Country A would have an absolute advantage compared to Country B in the production of corn ifA) corn can be produced at lower cost in terms of other goods than it could be in Country B.B) Country A uses fewer resources to produce corn than Country B does.C) the demand for corn is higher in Country A than in Country B.D) corn sells for a higher price in Country A than in Country B. Which of the following explains why international travelers need to use special adapters when plugging a device designed to operate in the U.S. into a wall outlet in Europe?The increased voltage causes the device's resistance to increase, and the device won't work.The increased voltage causes the device's resistance to decrease, and the device will over-heat.The increased voltage causes an increase in power usage, and the device will over-heat.The increased voltage causes a decrease in power usage, and the device won't work. I place a 500-g ice cube (initially at 0C) in a Styrofoam box with wall thickness 1.0 cm and total surface area 600 cm2 . If the air surrounding the box is at 20C and after 4 hours the ice is completely melted, what is the conductivity of the Styrofoam material? (Lf = 80 cal/g)a. 9.6 105cal/scmCb. 2.8 106cal/scmCc. 1.15 102cal/scmCd. 2.3 104cal/scmC Corporate executives at LikeReal, Inc. decide to compete in the remote model airplane industry by making the largest model planes available. By doing this, they completed part of their:_________ Write an equation of the line containing the given point and perpendicular to the given line:(4, - 7); 9x+5y=3 Why do some states have more representatives than other states? Your Memory Lane produces custom-made art prints that include graphics and icons to celebrate lifes special moments. For example, on his wedding anniversary, David had an art print produced that celebrated highlights of his ten years with his wife, Kathy. Suppose that Your Memory Lane sells the custom artwork for $500. It estimates its average variable costs to be $200 per unit produced. It figures its fixed costs to be $900,000 per year. How many prints does it have to sell to break even? Because she is the team leader, Emma asked her group to write down ideas about how to approach their new project. She took the time to go through all the ideas, only to find out that most were similar in nature. Which technique would have helped her to simplify the situation? Which of the following approaches is most suitable for auditing the finance and investment cycle? Henry and Gavin are marking exam papers. Each set takes Henry 36 minutes and Gavin 1 hour. Express the times Henry and Gavin take as a ratio.Give your answer in its simplest form. Which is an inference? Question 6 options: a. You measure a plants height every day for a week. b. You give a plant the same amount of water every day. c. Every day for a week, you collect data on a plants movement. d. After watching a plant for a week, you determine it needs more sunlight. 31. In a Mathematics competition, there are 10 questions of equal marks. You get 10 marks for a correctanswer, lose 8 marks for a wrong answer, or no mark for each blank answer. If Jimmy answered 3questions correctly, 6 questions wrongly, and left 1 question unanswered, how many marks could heget? The letter associated with each subshell tells us what, specifically? Choose the one best answer. A. the principal quantum number of the orbital. B. the principal shell of the orbital. C. the maximum number of electrons. D. the three dimensional shape of the orbital. E. none of the above A linear enzyme is formed by four alpha and two beta protein subunits. How manydifferent arrangements are there? Steam Workshop Downloader