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trapecia [35]
3 years ago
7

How do you get from one number to the next using multiplacation or division? Exp: 100 to 106

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

100 • 1.06

Step-by-step explanation:


To get from 100 to 106, simply multiply; 100 • 1.06


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Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 2. check your answer by noting that the curve is
professor190 [17]
Ok, here we go.  Pay attention.  The formula for the arc length is AL= \int\limits^b_a { \sqrt{1+( \frac{dy}{dx})^2 } } \, dx.  That means that to use that formula we have to find the derivative of the function and square it.  Our function is y = 4x-5, so y'=4.  Our formula now, filled in accordingly, is AL= \int\limits^2_1 { \sqrt{1+4^2} } \, dx (that 1 is supposed to be negative; not sure if it is til I post the final answer).  After the simplification we have the integral from -1 to 2 of \sqrt{17}.  Integrating that we have AL= \sqrt{17}x from -1 to 2.  2 \sqrt{17}-(-1 \sqrt{17} ) gives us 3 \sqrt{17}.  Now we need to do the distance formula with this.  But we need 2 coordinates for that.  Our bounds are x=-1 and x=2.  We will fill those x values in to the function and solve for y.  When x = -1, y=4(-1)-5 and y = -9.  So the point is (-1, -9).  Doing the same with x = 2, y=4(2)-5 and y = 3.  So the point is (2, 3).  Use those in the distance formula accordingly: d= \sqrt{(2-(-1))^2+(3-(-9))^2} which simplifies to d= \sqrt{9+144}= \sqrt{153}.  The square root of 153 can be simplified into the square root of 9*17.  Pulling out the perfect square of 9 as a 3 leaves us with 3 \sqrt{17}.  And there you go!
5 0
3 years ago
Justin is a teacher and takes home 76 papers to grade over the weekend. He can grade at a rate of 7 papers per hour. How many pa
allochka39001 [22]

Answer:

7.6

Step-by-step explanation:

I know math!!!!!!!!!!

3 0
3 years ago
Ruby is deciding between two truck rental companies. Company A charges an initial fee of $70 for the rental plus $2.50 per mile
almond37 [142]

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

Company A would be cheaper if Ruby needs to drive 15 miles

Step-by-step explanation:

Ruby is deciding between two truck rental companies

  • Company A charges an initial fee of $70 for the rental plus $2.50 per mile driven
  • Company B charges an initial fee of $90 for the rental plus $1.50 per mile driven
  • A(x) represents the amount company A would charge if Ruby drives x miles, and B(x) represents the amount company B would charge if Ruby drives x miles

Write the equation for each function and determine which company would be cheaper if Ruby needs to drive 15 miles with the rented truck

∵ Company A charges an initial fee of $70 for the rental

∵ It costs $2.5 per mile driven

∵ A(x) represents the amount would charge if Ruby drives x miles

∴ A(x) = 2.5 x + 70

∵ Company B charges an initial fee of $90 for the rental

∵ It costs $1.5 per mile driven

∵ B(x) represents the amount would charge if Ruby drives x miles

∴ B(x) = 1.5 x + 90

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

∵ Ruby needs to drive 15 miles with the rented truck

∴ x = 15

- Substitute x by 15 in the two equation to find the cheaper one

∵ A(15) = 2.5(15) + 70

∴ A(15) = 107.5

The amount Company A would charge if Ruby drives 15 miles is $107.5

∵ B(15) = 1.5(15) + 90

∴ B(15) = 112.5

The amount Company B would charge if Ruby drives 15 miles is $112.5

∵ $107.5 is less than $112.5

∴ A(15) < B(15)

∴ The company A would be cheaper

Company A would be cheaper if Ruby needs to drive 15 miles

Learn more:

You can learn more about linear function in brainly.com/question/4326955

#LearnwithBrainly

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Answer and Step-by-step explanation:

If the radius is 5, then we can plug 5 into the area of a circle equation.

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