Which expression is equivalent to (r-⁷)⁶?

Mathematics

1 answer:

lara [203]2 years ago

3 0

Answer: the expression that is equivalent to that is 42

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Sofia received a 3,000 car loan. She plans on paying off the loan in 2 years. At the end of 2 years, Sofia will have paid $450 i

poizon [28]

(So “/” will basically mean divide)
450/3000=0.15
0.15*100=15% rate

3 0

2 years ago

4/x - 3/y = 1 ; 6/x + 15/y = 8 solve this equation

Soloha48 [4]

Answer:

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x)/xy=1; (6y+15x)/xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion(4y-3x=xy) to find out "y"

4y-6=2y

2y=6

y=3

4 0

2 years ago

If the heights of a population of men are approximately Normally distributed, and the middle 99.7% have heights between 5'0" and

kirza4 [7]

Answer:

4 inches

Step-by-step explanation:

the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4

5 0

2 years ago

Solve the separable differential equation dtdx=x2+164 and find the particular solution satisfying the initial condition x(0)=9

maria [59]

$\dfrac{dt}{dx} = x^2 + \frac{1}{64} \Rightarrow\ dt = \left(x^2 + \frac{1}{64}\right)dx \Rightarrow \\ \\ \displaystyle \int 1 dt = \int \left(x^2 + \frac{1}{64}\right)dx \Rightarrow \\ t = \dfrac{x^3}{3} + \frac{x}{64} + C$

C = 9 because all the x terms go away.

$t = \dfrac{x^3}{3} + \dfrac{x}{64} + 9$