Which graph and equation shows a proportional relationship between x and y?

Answer:

  resistance must quadruple

Step-by-step explanation:

You want to know the change in resistance required to quadruple the amount of heat if heat is proportional to the square of voltage, inversely proportional to resistance, and the voltage is quadrupled.

Let H represent the heat generated for voltage V and resistance R. We want to find R, the new resistance required, when V is replaced by 4V, and H is replaced by 4H.

  H = V²/R

  4H = (4V)²/R'

  4(V²/R) = 16V²/R'

  R' = (16/4)R . . . . . . . multiply by RR'/(4V²)

  R' = 4R

The resistance must quadruple if the amount of heat is to be quadrupled.

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Answer:

3x

Step-by-step explanation:

f(x) = x/3

let , y=f(x)

or y=x/3

inter changing x and y, we get,

x=y/3

or, 3x=y. ( cross multiplication)

therefore f-1(x) 3x

Answer:

Hope this helps

Step-by-step explanation:

Y = 3x - 10

So, 4x + 5y = 7

= 4x + 5(3x - 10) = 7

= 4x + 15x - 50 = 7

= 19x - 50 = 7

= 19x = 7 +50

= 19x = 57

= X = 57/19

X = 3

Step-by-step explanation:

try this solution, the answer is underlined with orange colour.

Answer: 2.556

Step-by-step explanation:

23/9 = 2.5555555555 (endless 5)

round to nearest thousandths... three places from the decimal point.

2.5555... round up since 5 is the number next to the thousandth place.

The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

The limit of the function is determined as follows;

[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]

The derivative of the function;

[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]

Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.

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Answer:

I am not entirely sure but The maximum is 500 and b $0.50

Answer:

17.5

Step-by-step explanation:

Two points which lie on the line are : (0, 0) and (4, 70)

Constant of proportionality :

Answer:

B  =  R 100 000

Step-by-step explanation:

B will be   2  out of   4 + 3 + 2   =    2/9 of the total

            2/9 * 450 000 = 100 000

Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

Option B is correct

Answer:

6.15 × 10⁵

Step-by-step explanation:

When converting a number of scientific notation, we need to move the decimal point until the number is greater than 1 and less than 10, then multiply this by 10 to the power of the number of places we moved the decimal point (negative when moving it forwards, positive when moving it backwards).

Therefore, 615000 = 6.15 × 10⁵

Answer:

Center: (0, -2)

radius: 8

Explanation:

Given equation: x² + (y + 2)² = 64

The Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) are points of center. r denotes radius

So rewrite the equation in circle formula:

x² +(y + 2)² = 64

(x- 0)² +(y + 2)² = 8²

Identify followings:

h = 0, k = -2, radius = 8

Answer:

B

Step-by-step explanation:

it is B I am so sorry if it is wrong

Answer:

Both graphs in 2 separate attachments--placed in order

Hope it helps.

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

Let's solve for x ~

⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]

P.S here's the graph that might help you!

Let's solve of x ~

⇢  [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]

P.S here's the second image of the graph. so, you won't get confused.

Hope It Helps! ~

~ Learn With Sxnnysoul ~

[tex]\underline{Answer :}[/tex]

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

Answer:

44degrees

Step-by-step explanation:

I've just replaced letter A with x so that I can make it easier for me to get the value of x and after adding 54 + 82 I got 136 and when I transferred it to the other side I subtracted it from 180 because it had a positive sign before it and if it is carried out the other side it becomes a negative which means I should subtract hope you got me.

in short once a positive number is carried to the other side I mean past the equals sign then it changes to negative hope it helps

The experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex]. is the ratio of the favorable event to the total number of events.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

No of arrows given in the different section ;

Section 1=18

Section 2=30

Section 3=32

The probability that the arrow stopping on Section 2 is found as;

[tex]\rm P = \frac{Favourable \ outcomes }{Total \ outcomes } \\\\\ P= \frac{30}{18+30+32} \\\\ P=\frac{30}{80}\\\\ P= \frac{3}{8}[/tex]

Hence, the experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex].

More about the probability link is given below.

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The null hypothesis is that the observed difference is due to chance alone in a research.

Your information is incomplete. Therefore, an overview of a hypothesis will be given. A null hypothesis is a hypothesis that states that there is no relationship between two population parameters.

It should be noted that researchers reject or disprove the null hypothesis to set the stage for further experimentation or research that explains the position of interest.

The null hypothesis: H0 is the complement of the alternative hypothesis. Type I error is when we reject the null hypothesis when it is correct.

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Answer:

9

Step-by-step explanation:

Because 40% hit the bullseye, we can subtract 40% from 100% meaning 60% did not hit the bullseye.

We can then convert 60% into the decimal .6 and multiply it by 15.

15 x .6 = 9

Now

AB

Answer:

24.03 units (nearest hundredth)

Step-by-step explanation:

The distance between B and A is:  AB = AH + HB

We have been given AH, so we just need to find the measure of HB.

First, find the angle AOH using tan trig ratio:

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}[/tex]

[tex]\implies \sf \angle AOH = 22.00069835^{\circ}[/tex]

   ∠BOA = ∠BOH + ∠AOH

⇒ ∠BOH = ∠BOA - ∠AOH

⇒ ∠BOH = 61° - 22.00069835°

               = 38.99930165°

Now we can find HB by again using the tan trig ratio:

Given:

Substituting given values:

[tex]\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}[/tex]

[tex]\implies \sf HB=19.80 \tan(38.99930165^{\circ})[/tex]

[tex]\implies \sf HB=16.03332427[/tex]

Therefore:

   AB = AH + BH

⇒ AB = 8 + 16.03332427

         = 24.03 units (nearest hundredth)

The measure of the third angle in the triangle is 104 degrees

Let the three angles in the triangle be x, y and z.

Such that:

x = 51

y = 25

The sum of angles in a triangle is 180 degrees.

So, we have:

x + y  + z = 180

Substitute known values

51 + 25 + z = 180

Evaluate the sum

76 + z = 180

Subtract 76 from both sides

z = 104

Hence, the measure of the third angle is 104 degrees

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Answer:

0.

Step-by-step explanation:

If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.

Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.

Then the mean of the sample will be

[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]

Then the table is given below.

Then we have

[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]

More about the mean link is given below.

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Answer:

115 degrees

Step-by-step explanation:

180-165

=115

~rere

Answer:

x = 115°

Step-by-step explanation:

Given angle y = 65°

Find angle x

=> x + y = 180

=> x + 65° = 180

=> x = 180 - 65

=> x = 115°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

what is the figure so i can awnser iit

Step-by-step explanation:

?

Answer:

One year: Between $132,000 and $480,000.

20 years: Between $2,640,000 and $9,600,000.

60 years: Between $7,920,000 and $28,800,000.

Step-by-step explanation:

If it makes between 11,000 and 40,000 a month, you should take both values and average them or make an estimate. Since there are 12 months in a year, 11,000*12 = $132,000 minimum, 40,000*12 = $480,000 maximum.

In 20 years, 132,000*20= $2,640,000 minimum, 480,000*20 = $9,600,000 maximum.

In 60 years, 2,640,000*3 = $7,920,000 minimum, 9,600,000*3 = $28,800,000 maximum.

If you want to be more specific, you need to find the average number of times you make certain amounts of money per month to find how likely it is to make a certain amount.

Answer:

taking my points back

Step-by-step explanation: