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Fiesta28 [93]
3 years ago
12

Jasmine works at the public library after school. She makes $7.00 per hour. She cannot work more than 15 hours per

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

the answer is mx +B plus the quradratic formula

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A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?
pashok25 [27]

Answer:

- 4 - 5i

Step-by-step explanation:

The centre of the circle is the average of the endpoints

centre = (- 2 + i - 6 - 11i ) ÷ 2

          = (- 8 - 10i ) ÷ 2

         = - 4 - 5i

7 0
2 years ago
If I drive at `70` miles per hour, my journey will take `2.5` hours. How long will my journey take if I drive at `60` miles per
emmasim [6.3K]

Answer:

It'll take 25 more minutes

Step-by-step explanation:

7 0
3 years ago
Find the equation of the line: parallel to 3x−y=11 through (−2, 0).
stepan [7]

Answer:

I believe it is:

slope-intercept form: y=3x+6

standard form: -3x+y=6 or 3x-y=-6

point slope-form: y-0=3(x+2)

Step-by-step explanation:

First, I put 3x-y=11 into slope-intercept form:

Subtract 3x from both sides: 3x-3x-y=11-3x

That becomes -y=-3x+11

Divide both sides by -1: -y/-1=(-3x+11)/-1

That becomes y=3x-11\

Then, the definition of a parallel line is having the same slope but different y-intercepts, so I dropped the -11 as the y-intercept, and I rewrote the equation as y=3x+b, where b is the y-intercept.

Now, I have to find the y-intercept of the parallel line, so I plug the coordinates (-2,0) into the equation for x and y to solve for the y-intercept

Write the equation out with what you have so far: y=3x+b

Substitute the coordinates (-2,0) in for x and y: 0=3(-2)+b

That becomes 0=-6+b

Add 6 to both sides: 0+6=-6+6+b

That becomes 6=b, which means that 6 is your y-intercept.

Finally, you have gathered everything you need to write the parallel line in equation format.

The parallel line's equation is

in slope-intercept form: y=3x+6

in standard form: -3x+y=6 or 3x-y=-6

in point-slope form: y-0=3(x+2)

7 0
3 years ago
It you invest S500 at an annual interest rate of 10% compounded continuously, calculate the final
lord [1]

Answer:

Step-by-step explanation:

The formula for continuous compounding is

A(t)=Pe^{rt} where A(t) is the amount after all the compounding is done, P is the initial investment, r is the rate as a decimal, and t is the time in years.  Filling in our info:

A(t)=500e^{(.1)(5)}

First raise e to the product of that power to get

A(t)=500(1.64872171)

Multiply those numbers together to get A(t) = $824.36

8 0
3 years ago
Help please!!! Idk the answer.. if anyone knows then will u help me please!!! I will mark as BRAINLIEST​
Marrrta [24]

Problem 9

1 liter = 1000 cubic cm

The base of the carton has area 50 cm^2, or 50 square cm.

Let A = 50 to represent the area.

The height h is unknown. It multiplies with the value of A to get the volume

V = A*h

1000 = 50*h

50h = 1000

h = 1000/50

h = 20

Answer: The carton is 20 cm tall

=======================================================

Problem 10

Part (a)

  • Along the 4 cm side of the box, we can fit 4/2 = 2 dice side by side
  • Along the 7 cm side of the box, we can fit 7/2 = 3.5 = 3 dice. Note how I rounded down instead of up. Having 4 dice will lead to 4*2 = 8 cm, but 8 is larger than 7.
  • Along the 5 cm side of the box we can fit 5/2 = 2.5 = 2 dice

This 3D configuration will allow us to fit 2*3*2 = 12 dice in total

Answer: 12 dice will fit

----------------------------

Part (b)

The box has volume 5*4*7 = 140 cubic cm

Each die has volume 2*2*2 = 8 cubic cm. There are 12 dice we can fit in, so 12*8 = 96 cubic cm is the amount of volume taken up by the dice

We have 140-96 = 44 cubic cm of empty air left over.

Answer: 44 cubic cm

=======================================================

Problem 11

1 liter = 1000 cubic cm

8 liters = 8000 cubic cm

So he has 8000 cubic cm of soil

The volume of the cube is

(22.5)^3 = (22.5)*(22.5)*(22.5) = 11,390.625 cubic cm

He won't have enough soil to completely fill the cube shaped planter

We can be able to determine this by recalling that 2^3 = 8, so (20)^3 = 8000. Meaning that a cube shaped planter of sides 20 cm will lead to a volume of 8000 cubic cm. Anything over 20 cm will lead to a larger volume.

So in short, spotting the 22.5 being larger than 20 is a quick way to know that the planter has more volume compared to the amount of soil he has.

Answer: He won't have enough soil to completely fill the planter

4 0
2 years ago
Read 2 more answers
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