What is the function rule for the line?

Choices are in the screenshot! I'd appreciate the help! :)

Final answer:

The percent drop in temperature from 80°F to 70°F is calculated as (10°F / 80°F) × 100%, which equals 12.5%.

Explanation:

To find the percent drop in temperature from 80°F to 70°F, we need to calculate the decrease in temperature and then express that decrease as a percentage of the original temperature. The decrease in temperature is 80°F - 70°F = 10°F. To find the percent drop, we use the formula for percentage change, which is (Change/Original) × 100%.

Therefore, the percent drop = (10°F / 80°F) × 100% = 12.5%. So, the temperature dropped by 12.5% from 80°F to 70°F.

Final answer:

To find the percent drop in temperature from 80°F to 70°F, calculate the difference between the temperatures and divide by the original temperature, then multiply by 100%. The result is a 12.5% decrease in temperature.

Explanation:

The question asks to find the percent drop in temperature when it drops from 80°F to 70°F. To calculate this, we use the formula for percent decrease, which is (original value - new value) / original value × 100%. Applying this formula, the original temperature is 80°F, and the new temperature is 70°F.

(80°F - 70°F) / 80°F × 100% = 10°F / 80°F × 100% = 0.125 × 100% = 12.5%.

Therefore, the temperature dropped by 12.5% when it fell from 80°F to 70°F.

Answer:

1. Option B.

2. Option D.

3. Option C.

Step-by-step explanation:

(1)

The given function is

[tex]g(y)=2y+7[/tex]

Substitute y=8 to find the value of g(8).

[tex]g(8)=2(8)+7=16+7=23[/tex]

The value of g(8) is 23. Therefore, the correct option is B.

(2)

Area of a rectangle is

[tex]Area=length\times width[/tex]

From the given figure it is clear that the length of the seating area is 700 ft and width of the seating area is 525 ft.

The total seating area is

[tex]Area=700\times 525[/tex]

[tex]Area=367500[/tex]

The seating are is 367500 ft².

According to the “rule of thumb,” circulation Area comprises roughly 25 to 40% of the total Usable Area.

40 % of total area is

[tex]367500\times \frac{40}{100}=147000[/tex]

Using a standard rule of thumb the attendance is 147,000 People.

Therefore, the correct option is D.

(3)

Each person takes up 2 square feet. Then the total number of persons is

[tex]People=\frac{367500}{2}[/tex]

[tex]People=183750[/tex]

Therefore, correct option is C.

False since 7/9 is the equivalent of 0.7777777 which is less than 1 which in this case acts as 100% so 7/9 is about 77.7% so it is less than 100% so the answer is false.

Answer:

[tex]x = \frac{2}{3} + \frac{\sqrt{10} }{3} , x = \frac{2}{3} - \frac{\sqrt{10} }{3}[/tex]

Step-by-step explanation:

Multiplying the coefficient of x by the constant to get:

3 x (-2) = -6

Find factors of -6 that equal the middle term -4.

Since, no such factors can be found so we can solve the equation by completing the square.

To complete the square, divide the equation by the coefficient of x^2 which is 3 to get:

[tex]x^{2} - \frac{4}{3} x - \frac{2}{3} = 0[/tex]

[tex]x^{2} - \frac{4}{3} x = \frac{2}{3}[/tex]

Now divide the coefficient of x by 2 and add the square of the result to both sides of the equation:

[tex]x^{2} - \frac{4}{3} x + (-\frac{2}{3} )^{2} = \frac{2}{3} +  (-\frac{2}{3} )^{2}[/tex]

[tex](x - \frac{2}{3} )^2 = \frac{2}{3} + \frac{4}{9}[/tex]

[tex](x - \frac{2}{3} )^2 = \frac{4}{9}[/tex]

[tex]\sqrt{(x - \frac{2}{3} )^2} = \sqrt{\frac{4}{9} }[/tex]

[tex]x - \frac{2}{3} = \sqrt{\frac{10}{9} }[/tex] , [tex]x - \frac{2}{3} = -\sqrt{\frac{10}{9} }[/tex]

[tex]x = \frac{2}{3} + \frac{\sqrt{10} }{3} , x = \frac{2}{3} - \frac{\sqrt{10} }{3}[/tex]

I believe the answer is a Penny.

A penny, I'm pretty sure...

Using proportion concepts, it is found that the equivalent statement is:

(F) The price now is 66 2/3 % of what it was before

The statement is:

"price decreased by 1/3"

It decreases by 1/3, thus it is [tex]\frac{2}{3} = 0.6667 = 66\frac{2}{3}\%[/tex] of what was before, which means that the equivalent statement is given by option F.

As for the other statements, they do not have the correct percentage or ratio, which we found above.

A similar problem is given at https://brainly.com/question/10491646

The simplified form of the expression (25x^2-14xy+4)-(7x^2-9y)+(2xy+7) is 18x^2 - 12xy + 20 + 9y. We achieved this by applying the distributive property, grouping like terms, and simplifying each group.

To simplify the expression (25x^2-14xy+4)-(7x^2-9y)+(2xy+7), we first apply the distributive property and place minus signs before each of the terms inside the bracket:

25x^2 -14xy + 4 - 7x^2 + 9y + 2xy + 7.

From here, group like terms together:

(25x^2 - 7x^2) + (-14xy + 2xy) + (4 + 9y + 7).

Finally, simplify each group of like terms to achieve the simplified expression:

18x^2 - 12xy + 20 + 9y.

https://brainly.com/question/36385368

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B. The pickup truck would travel 252 miles in 6 hours.

The truck travels 210 miles in 5 hours.

To find the speed, we divide the distance by the time:

210 miles / 5 hours

= 42 miles/hour.

Now, let's calculate the distance for 6 hours.

The truck travels at 42 miles/hour.

To find the distance in 6 hours, we multiply the speed by the time:

42 miles/hour * 6 hours

= 252 miles.

Answer:

  6

Step-by-step explanation:

The greatest common factor (GCF) of 18, 24, and 30 is 6.

Victor can make at most 6 bags with equal numbers of each type of cookie.

_____

18 = 6×3

24 = 6×4

30 = 6×5

One way to look for the GCF is to consider the differences between the numbers. The smallest difference between any pair is 6, which also divides all of the numbers evenly. Hence 6 is the GCF.

By finding the greatest common divisor (GCD) of the counts of each type of cookie (30, 18, 24), it is determined that Victor can make 6 identical bags for the bake sale.

To determine the greatest number of bags Victor can make, we need to find the greatest common divisor (GCD) of the counts of each type of cookie: 30 chocolate chip cookies, 18 peanut butter cookies and 24 sugar cookies. The GCD is the largest number that exactly divides all these counts.

First, list the divisors of each number:

Find the highest number that appears in each list. The highest common factor of 30, 18, and 24 is 6, so Victor can make a total of 6 equal bags with each type of cookie.

https://brainly.com/question/38730226

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What is 3/5 of $40 restaurant bill equals $

the answer is $24

The fencing that is needed to enclose the garden is 36 meters.

Let the width be represented by x.

Let the length be represented by x+2.

The area is given as 80m².

Therefore, the length and width will be calculated thus;

x(x + 2) = 80

x² + 2x - 80 = 0

x² + 10x - 8x - 80 = 0

x(x + 10) - 8(x + 10) = 0

x - 8 = 0

x = 8

The width is 8 meters and the length is 10m.

The perimeter will be:

= 2(8m + 10m)

= 2 × 18m

= 36m

In conclusion, the correct option is 36 meters.

Read related link on:

https://brainly.com/question/24782039

d - e = 2d - e      add e to both sides

d - e + e = 2d - e + e

d = 2d      subtract d from both sides

d - d = 2d - d

0 = d

Answer: D = 0

Thus meaning D has to equal 0.

I hope this helps!

1. The Great Wall of China is 13,170.696

2.how many feet are in a mile= 5,280= 1 mile  

3. 19,536,000=3700 miles

Aiden spent $22.20 on 60 candles. His sister spent $54.40 on 170 candles, $32.20 more than Aiden.

Let's break this down step by step:

a. To find out how much Aiden spent on candles, we multiply the number of candles he bought (60) by the price per candle ($0.37):

Total cost for Aiden = 60 × $0.37 = $22.20

So, Aiden spent $22.20 on candles.

b. Aiden's sister bought 170 candles and paid $0.05 less per candle than Aiden did. This means she paid $0.37 - $0.05 = $0.32 per candle.

To find out how much Aiden's sister spent on candles, we multiply the number of candles she bought (170) by the price per candle ($0.32):

Total cost for Aiden's sister = 170 × $0.32 = $54.40

So, Aiden's sister spent $54.40 on candles.

c. To compare who spent more on candles, we simply compare the total costs. Aiden spent $22.20 and his sister spent $54.40.

Aiden's sister spent more. To find out how much more she spent, we subtract Aiden's total from his sister's:

$54.40 - $22.20 = $32.20

So, Aiden's sister spent $32.20 more on candles than Aiden did.

The complete question is here:

To prepare for a wedding, Aiden bought 60 candles. He paid $0.37 for each candle. His sister bought 170 candles at a sale where she paid $0.05 less for each candle than Aiden did.

a. How much did Aiden spend on candles?

b. How much did Aiden's sister spend on candles?

c. Who spent more on candles? How much more?

Answer:

The answer is A. Substitution

Step-by-step explanation:

Looking at the previous proofs, you can see that:

∠Y≅∠4

∠Z≅∠6

∠X + ∠4 + ∠6 = 180°

Statement 5 then replaces ∠4 and ∠6 with ∠Y and ∠Z, respectively. Replacing it means that it was substituted with the GIVEN values by the previous statements.

The best answer is the Substitution.  

Answer:

My other answer was deleted, but yes, it should be A, substitution.

Insert x = 100 and x = 200 in the function

f(100) = 20,000 - 40*100

= 20,000 - 4000

= 16,000

f(2)) = 20,000 - 8,000 = 12,000

So its choice C  ,  All reals between 12,000 and 16,000 inclusive.

Answer:

Option C.

Step-by-step explanation:

The given function is

[tex]f(x)=20000-40x[/tex]

where x represents the number of minutes the painter has worked from the 100-minute mark through the 200-minute mark of the project.

We need to find the practical range of the function.

The value of x lies from 100 to 200.

At x=100,

[tex]f(100)=20000-40(100)=20000-4000=16000[/tex]

At x=200,

[tex]f(200)=20000-40(200)=20000-8000=12000[/tex]

It means the practical range of the function is all real numbers between 12,000 and 16,000 inclusive.

Hence, the correct option is C.

x² + y² = 16

the equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

here r = 4, hence

x² + y² = 16 ← is the equation of the circle

Answer:

Jerry does [tex]2.11[/tex] cases per hour (Rounded to 2 decimal places). As we cannot do 0.11 cases. We can say Jerry does 2 cases per hour.

Step-by-step explanation:

to find the number of cases per hour, we have to divide the number of cases by number of hours taken for those cases,

Number of cases per hour = [tex]\frac{5cases}{2\frac{3}{8} hours}[/tex]

                                             =[tex]\frac{5}{\frac{19}{8} } \\[/tex] cases per hour

                                             =[tex]\frac{5*8}{19}[/tex] cases per hour

                                             =[tex]\frac{40}{19}[/tex] cases per hour

                                              =[tex]2.11[/tex] cases per hour (Rounded to 2 decimal places)

As we cannot do 0.11 cases. We can say Jerry does 2 cases per hour.

ANSWER

[tex]2y-x-20=0[/tex]

or

[tex]y=\frac{1}{2}x+10[/tex]

EXPLANATION

Let the rectangle be oriented as shown in the diagram.

The line segment AD passes through [tex]A(2,11)[/tex].

All we need now is the slope of AD then we can find its equation.

Since AD is perpendicular t AB, we determine the slope of AB and then use it to find the slope of AD.

[tex]Slope_{AB}=\frac{1-11}{7-2}[/tex]

[tex]Slope_{AB}=\frac{-10}{5}=-2[/tex]

The slope of AD is the negative reciprocal of the slope of AB because they are perpendicular.

[tex]Slope_{AD}=\frac{-1}{-2}=\frac{1}{2}[/tex]

The equation of AD is given by;

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-11=\fra[1}{2}(x-2)[/tex]

Multiplying through by 2 gives,

[tex]2y-22=(x-2)[/tex]

[tex]2y-x-22+2=0[/tex]

[tex]2y-x-20=0[/tex]

or

[tex]y=\frac{1}{2}x+10[/tex]

Answer:

1800 ÷ 6

Step-by-step explanation:

18,000 ÷ 60 is the same as;

18,000 ÷ 10 ÷ 6 and is the same as;

1,800 ÷ 6

[tex]1.\\(-1.5)^0=1\\/\text{for any real numbers not equal 0 we have}\ a^0=1/\\\\2.\\3g^{-2}b^2=3\cdot\dfrac{1}{g^2}\cdot b^2=\dfrac{3b^2}{g^2}\\\\/a^{-n}=\dfrac{1}{a^n}/\\\\3.\\\dfrac{3}{g^{-2}h^3}=\dfrac{3}{\frac{1}{g^2}\cdot h^3}=\dfrac{3}{h^3}\cdot\dfrac{g^2}{1}=\dfrac{3g^2}{h^3}\\\\4.\\2x^{-2}y^{-2}=2\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y^2}=\dfrac{2}{x^2y^2}\\\\\text{substitute x = 3 and y = -2}\\\\\dfrac{2}{3^2\cdot(-2)^2}=\dfrac{\not2^1}{9\cdot\not4_2}=\dfrac{1}{9\cdot2}=\dfrac{1}{18}\\[/tex]

[tex]\dfrac{1}{2^{-2}x^{-3}y^5}=\dfrac{1}{\frac{1}{2^2}\cdot\dfrac{1}{x^3}\cdot y^5}=\dfrac{1}{y^5}\cdot\dfrac{2^2}{1}\cdot\dfrac{x^3}{1}=\dfrac{2^2x^3}{y^5}\\\\\text{substitute x = 2 and y = -4}\\\\\dfrac{2^2(2^3)}{(-4)^5}=\dfrac{2^{2+3}}{(-4)^5}=\dfrac{2^5}{(-4)^5}=\left(\dfrac{2}{-4}\right)^5=\left(-\dfrac{1}{2}\right)^5=-\dfrac{1}{32}\\\\/a^n\cdot a^m=a^{n+m};\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}/[/tex]

1. A

2. C

3. C

4. D

5. B

Answer:

Option B. 0.75 gallons is the right answer.

Step-by-step explanation:

Let the load of dishwasher used in house A = x gallons

Let the load of dishwasher used in house B is = y gallons

and similarly we assume for house C = z gallons

Now from the given question

On Friday amount of water used in all three houses = 17.5 gallons

From the table we will make the equation

x + 2y + 2z = 17.5-----(1)

For Saturday

2x + 3y + 4z = 31.5 ----(2)

For Sunday

2x + 2y + 3z = 24.75 -----(3)

By subtracting equation 3 from 2

y + z = 31.5 - 24.75 = 6.75 ------(4)

Equation (1) multiplied by 2 - equation (2)

2×(x + 2y + 2z) - (2x + 3y + 4z) = 17.5×2 - 31.5

y = 35 - 31.5 = 3.5

By putting y = 3.5 in the equation (4)

z = 6.75 - 3.5 = 3.25

By putting y = 3.5 and z = 3.25 in the equation (1)

x + 7 + 6.5 = 17.5

x = 17.5 - 13.5 = 4

Now the difference between load of dishwasher that uses least water and the most.

x - z = 4 - 3.25 = 0.75 gallons

Option B is the right answer.

Answer:

Option B. 0.75 gallons is the right answer.

Step-by-step explanation:

Edge 2020

Answer:

Bus drop him off 64 miles far from the school.

Explanation:

 Total distance traveled by Nigel from Home to school each day = 312 miles

 Distance from bus stop to his home = 14 miles

Distance traveled by Nigel on the city bus = 234 miles.

Distance from bus drop off position to school = X miles

We have Total distance traveled by Nigel = 14+234+X = 248+X

Equating both total distances

          248+X = 312

            X = 64 miles.

 So bus drop him off 64 miles far from the school.

Solution:

The given complex expression is,

→(5+3 i) - (5+3 i)(5-5 i)

Keep in mind, i=√-1, i²= -1

=(5 + 3 i)[1- (5-5 i)]

=(5 + 3 i)[1-5+ 5 i]

= (5 + 3 i)[-4 + 5 i]

=5 × (-4 + 5 i) + 3 i×(-4 + 5 i)→→Used the identity, (a+b)×(c+d)=a×(c+d)+b×(c+d), Also Used distributive property of multiplication over addition and subtraction.

= -20 + 25 i-12 i +15 i²

= - 20 + 13 i-15

= -35 + 13 i

Answer:

13  all three angles =60 in total they equal 180

14) I believe x = 32.5 Am not sure though.

Step-by-step explanation:

That is the only question i can answer but to help you with this all triangles big or small the total of all the angles combined = 180

If 12*24=288 then your answer for 1.2*2.4=2.88

If it's wrong let me know and I'll help again.

Answer: It would be 2.88

Step-by-step explanation: