Locate the foci of the ellipse. Show your work.

x^2/36+y^2/11=1

Answers

Answer 1
Answer: a^2 - c^2 = b^2; where \ a = 6, b =  \sqrt11 \n 36 - c^2 = 11 \n c^2 = 36-11=25 \n c= \pm 5
Therefore, foci = (-5, 0) and (5, 0)

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Suppose the volume of milk in a glass is 230 cubic cm. If 1 gallon of milk equals 3.79 liters, how many glasses of milk are in 1 gallon
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level. 7h – 5(3h – 8) = –72Which statement is true about Pieter’s solution? 1. It cannot be a fraction or decimal because the depth of the well is a whole number. 2.It must be a positive number since it represents a number of hours.3. It must be a negative number because the depth is below sea level. 4.It cannot be greater than –72 because that is the depth of the well.

2+7x=4-3x I need help solving

Answers

X=1 for the first equation for the second X=9 Because 2+7=9*1=9 then you do 4-3=1*9. GOOD LUCK!(:

     2 + 7x = 4 - 3x
        + 3x      + 3x
   2 + 10x = 4
 - 2           - 2
         10x = 2
          10    10
           x = 0.2

Stephanie uses a ride service to get to different places in her city. If Stephanie uses Uber the service charges 1.50 per mile . If Stephanie uses lift the service charges $2.00 per mile. Let m represent the number of miles traveled. Which of the following statements are true . Select all that apply

Answers

Answer:

By a small online search, i found that the actual question seems to be:

"Stephanie uses a ride service to get to different places in her city. If Stephanie uses Uber the service charges $5.00 plus 1.50 per mile . If Stephanie uses lift the service charges $2.00 per mile. Let m represent the number of miles traveled. Which of the following statements are true . Select all that apply"

The statements are not provided, so i will answer it in a general way.

We have two different equations:

1) a fixed amount of $5.00 plus $1.50 for each mile, m.

This is a linear equation:

y1 = $1.50*m + $5.00

2) No fixed amount, only $2.00 for each mile, m.

y2 = $2.00*m

Now, the things we can see are which service will be cheaper as a function of m.

To see this, we can see the difference between y1 and y2.

When the difference is negative, this means that y1 is cheaper.

When the difference is positive this means that y2 is cheaper.

When the difference is zero, both services charge the same.

D = y1 - y2 = $1.50*m + $5.00 - $2.00*m

                 = (-$0.50)*m + $5.00

First let's find when it is zero.

              0 =  (-$0.50)*m + $5.00

            5.00/0.5 = m = 10

So for 10 miles, both services charge the same.

As the coefficient that multipies m is negative, if we have m > 10, then the difference will be negative.

This means that for m > 10, y1 is cheaper.

Then for m < 10, y2 is cheaper.

Your family went out to dinner at Applebee's and left the waiter an 18% tip. If the total before the tip for the dinner was $47.98 what should be paid to the waitress as a tip

Answers

Answer:

The amount that should be paid to the waitress as a tip would be $8.64

Step-by-step explanation:

0.18 x $47.98=$8.64


What Is The Value Of J In The Following Equation? J³=0.125

Answers

Answer: 0.5

Step-by-step explanation:

We're given J³ = 0.125, with J by itself, but we need to simplify J³ to J. J is being cubed, so in order to get rid of the ³ on J, we must do the opposite of cubing, which is taking the cube root. But, we must take the cube root of BOTH sides of the equation:

J^(3) = 0.125
\sqrt[3]{J^(3) } = \sqrt[3]{0.125}
J = 0.5

I hope this helps! :)

There are 229 people attending a convention. Each table seats 8 people. What is the least number of tables needed to seat everyone?__________ tables

Answers

29 tables will be needed.

What is (10y+6) (8y-6) ?

Answers

Answer:

y = 3/4 or y = -3/5

Step-by-step explanation:

Solve for y:

(8 y - 6) (10 y + 6) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

8 y - 6 = 0 or 10 y + 6 = 0

Hint: | Look at the first equation: Factor the left hand side.

Factor constant terms from the left hand side:

2 (4 y - 3) = 0 or 10 y + 6 = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

4 y - 3 = 0 or 10 y + 6 = 0

Hint: | Isolate terms with y to the left hand side.

Add 3 to both sides:

4 y = 3 or 10 y + 6 = 0

Hint: | Solve for y.

Divide both sides by 4:

y = 3/4 or 10 y + 6 = 0

Hint: | Look at the second equation: Factor the left hand side.

Factor constant terms from the left hand side:

y = 3/4 or 2 (5 y + 3) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

y = 3/4 or 5 y + 3 = 0

Hint: | Isolate terms with y to the left hand side.

Subtract 3 from both sides:

y = 3/4 or 5 y = -3

Hint: | Solve for y.

Divide both sides by 5:

Answer: y = 3/4 or y = -3/5