Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line y=1/4x+5

Based on the information above, the car with 1,000 pounds more will only go 1,194 miles, and the one with 2,000 pounds more will only go 1,188 miles.

MPG stands for miles per gallon, and refers to the distance in miles a vehicle travels for each gallon of fuel in its tank.

In general, a car consumes about 1,200 miles per gallon. However, when you add load to it, its fuel consumption is higher because it requires more force to move.

Additionally, some studies state that for every 1,000 pounds of weight added to the car, it will yield 0.5% less. So if the car has 1,000 more pounds, it's not going to go 1,200 miles per gallon, it's going to go 1,194 miles.

On the other hand, if 2,000 pounds of weight were added, the fuel economy would be 1% less, that is, it would travel 1,188 miles per gallon.

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Answer:

35

Step-by-step explanation:

x+8+243/2

x+251/2

x+251/2=4x+3

cross multiply

x+251=2(4x+3)

x+251=8x+6

x-8x=6-251

-7x=-245

x=-245/-7

x=35

The relative frequency of female mathematics majors will be 0.5142.

The proportion of the examined subgroup's value to the overall account is known as relative frequency.

A sample of 317 students at a university is surveyed.

The students are classified according to gender (“female” or “male”).

The table is given below.

Then the relative frequency of female mathematics majors will be

⇒ 36 / (36 + 34)

⇒ 36 / 70

⇒ 0.5142

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Answer:

Alternate interior angles are the angles formed on the opposite sides of the transversal. In other words, when two parallel lines are intersected by a transversal, eight angles are formed.

Step-by-step explanation:

I hope this checks out

Answer:

The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.

The value of the expression 2C+3B is 5m + 7

The given parameters are:

C = m + 1

B = m + 5

To evaluate the expression 2C+3B;

We substitute C = m + 1 and B = m + 5

So, we have:

2C+3B = 2 * (m + 1) + 3 * (m + 5)

Expand

2C+3B = 2m + 2 + 3m + 15

Evaluate the like terms

2C+3B = 5m + 7

Hence, the value of the expression 2C+3B is 5m + 7

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The correct match of the inequalities will be given as:-

A   ( x - 51 ≤ 43

B   ( x -99 ≤ -104

C  ( 75 <  69 - x )

D  ( 150+x ≤ 144 )

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The correct pair of the inequality will be calculated as:-

A   ( x - 51 ≤ 43)            x ≤ 8

B   ( x -99 ≤ -104          x  ≤ -5

C  ( 75 <  69 - x )         x < -6

D  ( 150+x ≤ 144 )         x ≤ -6

Hence the correct order is explained above.

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Answer:

[tex]D) ~ 14.066[/tex]

Step-by-step explanation:

[tex]~~~~87e^{0.3x} = 5918\\\\\implies e^{0.3x} = \dfrac{5918}{87}\\\\\implies \ln\left(e^{0.3x} \right)=\ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x \ln e = \ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x = \ln \left( \dfrac{5918}{87} \right)\\\\\implies x = \dfrac{\ln \left( \dfrac{5918}{87} \right)}{0.3}\\\\\implies x \approx14.066[/tex]

Answer:

Every fraction can be written as a decimal that will be either a decimal number or a decimal number

Hehe hope its helpful :-P

Answer:

34

Step-by-step explanation:

3*(2*2*2)+10

3*(8)+10

24+10

34

Answer:

87.95

Step-by-step explanation:

853.93 x 10.3/100

853.93/100=8.5393

x10.3 = 87.95km

Answer:

  11 miles

Step-by-step explanation:

The length of the route is the sum of the lengths of the parts of the route.

__

Let b represent the distance to the beach from the library.

  total distance = (home to library) +(library to beach)

  18 miles = 7 miles + b

  11 miles = b . . . . . . . . . . subtract 7 miles from both sides of the equation

The distance from the library to the beach is 11 miles.

The area of the regular pentagon given a side of 10 in is 172.0 in².

A pentagon is an object that is made up of five sides. The sum of the internal angles of a pentagon is 540 degrees.

Area of a pentagon = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] a²

Where a = side = 10

A = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] 10²

A = 172.02 in²

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Slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{-7-10}{-8+8}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{-17}{0}[/tex]

[tex]\\ \rm\dashrightarrow m=\infty[/tex]

[tex] \frac{y2 - y1}{ x 2 - x1} \\ \frac{ - 7 - 10}{ - 8 + 8} \\ \frac{ - 17}{0} [/tex]

Slope is undefined

Answer:

First you start with what is in the ( ). 15- 14 is 1. then you do multiplication next. 1* 6. is 6. now you do addition. 6 + 4 = 10

Answer:

-3

Step-by-step explanation:

[tex] \frac{ 21y {}^{ - 6} }{ - 7y {}^{ - 6} } \\ - 3y {}^{ - 6 - ( - 6)} \\ - 3y {}^{ - 6 + 6} \\ - 3y {}^{0} \\ - 3(1) \\ - 3[/tex]

Answer:

220

Step-by-step explanation:

Now, I'm not sure if 220 is correct, but I'll explain my reasoning.

We know three angles of a triangle add up to 180 degrees.

So, the smaller triangle has 70 degrees and a and b variables. By virtue, a + b + 70 = 180.

So, a + b = 110.

Likewise, when you look at the whole triangle, 70 degrees is also one of the angles while c and d are unknown.

So, c + d + 70 = 180.

This means c + d = 110.

So, (a + b ) + (c + d ) =

110 + 110 =

220 degrees.

I hope this helps!

Answer:

110

Step-by-step explanation:

a + b + c + d = 110

Triangle will always equal 180 degrees triangle = 180

180 - 70 = 110

Answer:

cant draw on this

Step-by-step explanation:

show the problem

Answer:

75 percent

Step-by-step explanation:

To find percent increase, do (final-initial/initial) * 100.

This would be 133-76/76 * 100, meaning you get a 75 percent increase.

The percent increase is 75 %.

The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

Given:

Sonya's heart rate was 76 beats per minute.

After running, heart beat rate= 133  beats per minute.

So, percent increase

= (133- 76)/ 76 x 100

= 0.75 x 100

= 75%

Hence, the percent increase is 75 %.

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Answer:

63,750

Step-by-step explanation:

1. Simplify the expression

625*192-625*90

120000-625*90

120000-56250

63750

Why learn this:

Terms and topics

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\textbf{Assuming that you meant}\bf\downarrow[/tex]

[tex]\mathbf{625\times129 - 625\times90}[/tex]

[tex]\large\textbf{If so, let's solve for the answer, shall we?}[/tex]

[tex]\mathbf{= \boxed{\bf 80,625} - 625\times90}[/tex]

[tex]\mathsf{= \bf 80,625 - \boxed{\bf 56,250}}[/tex]

[tex]\mathbf{= 80,625 - 56,250}[/tex]

[tex]\large\textbf{We have met your answer to this question.}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{24,375}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

Answer:

B. g(x) = -4(x - 3)²

Step-by-step explanation:

Given :

On shifting 3 units right :

On stretching vertically by a factor of 4 :

On reflecting over the x-axis :

Vertically strech by 4 means it's should be multiplied with -a and a =4

So

Shifted 3 units right means change in x

So

it should be

Option B

The graphs with no solutions are the ones with no intercepts between the curves. These are the first one and the last one.

If we have an equation like:

f(x) = g(x).

One way of finding the solutions is to graph:

y = f(x) and y = g(x) and see where the two curves intercept.

From that, the graphs where the curves do not intercept are the graphs that indicate that the equations have no solutions.

The two graphs with no intercepts are the first one (top left) and the last one (bottom right), so these are the correct options.

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Answer:

kid named finger

Step-by-step explanation:

I simply just used a form of alien math solving and I got my answers but I'm not willing to share

Answer:

A

Step-by-step explanation:

We are asked to find the amount of interest earned on $16,500 than $15,000 with APYs of 4.1% for a year.

We will use simple interest formula to solve our given problem.

I= prt

i= amount of interest

p=principal amount

r= interest rate in decimal form

t= time in years

4.1%=  41/100= 0.041

$16,500 times 0.041 -  $15,000 times 0.041

(16,500- 15,000) times 0.041

(1,500) times 0.041

So the answer is $61.50

I hope this is right, have a nice day.

Answer:

69.53

Step-by-step explanation:

I did it on my calculator.

The two congruent triangles that share the side AC are (c) △ADC and △CFA

For two triangles to share the sides AC, then the points A and C must appear on the names of the triangles

In option (c), we have A and C in the names of the triangles ADC and CFA

Hence, the two congruent triangles that share the side AC are (c) △ADC and △CFA

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A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.

Given that ten years ago, you invested most of the money you made during that summer into an Energy drink stock, and you purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%, but, however, the Energy drink stock consistently declined by 3.65% each year until the present, for a) Write an equation to model this situation, b) Estimate the value of the stock today and how much did you gain/lose, and c) Assuming the stock rate of decline remains the same, approximate the number of years it will take for the value of the stock to decrease by half, the following calculations must be made:

Therefore, A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.

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Answer:

A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.

Step-by-step explanation: