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vladimir2022 [97]
3 years ago
15

Find the value of n (-2/3)^4 ÷ (-2/3)^3 = (-3/2)^n

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer:

Left side simplifies to (-2/3)^1 and the right side simplifies to (-2/3)^(-n) which means 1 = -n so n = -1.

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Why is (3,-5) not a solution to -x+4y=-15
Olegator [25]
C) It doesn’t satisfy either the top or bottom equations.


When we plug them into the top equation:
- 3 + 4( - 5) =  - 15
Simplify:
- 3 + ( - 20) =  - 15 \\  \\  - 23=  - 15
Because the statement of -23 = -15 is wrong, the solution pair is wrong for the top equation.


When we plug them into the bottom equation:
- 2(3) - 3( - 5) =  - 8
Simplify:
- 6 - ( - 15) =  - 8 \\  \\ 9 =  - 8
9 = -8 is not a valid statement, so the pair doesn't satisfy both of the equations.
3 0
3 years ago
1. What is the slope of the line that passes through the points E(3, 0) and F (6, -3)?
Mama L [17]

Answer:

1. m=- -1 2. -1+1

Step-by-step explanation:

Ok for the first one you need to label 3 x1 0 y1 6 x2

and -3 y2

Next you need to do y2-y1 over x2-x1 so fill that in and your equasion is (-3-0)

------------ = -3

( 6-3) ----

3

That reduces to -1 because -3 divided by 3 is -1

As for number 2 we need to find b to do this pick any of the y's from before we can go with 0 so the 0 is y in the equasion and we already learned slope is -1 so your equasion should be 0=--1+b ok to solve this you need to add -1 to both sides since its a negitive so you add 1 to 0 which is 1 and when you add 1 to -1 it cancells it out so you have 1=b so b is 1 for the equsion you just fill it in so it is y=- -1+1

I hope I helped

5 0
3 years ago
You deposit $1400 into a savings account that earns simple annual interest. After 12 years, the balance in the account is $2408.
brilliants [131]
The formula is
A=p (1+rt)
A future value 2408
P present value 1400
R interest rate?
T time 12 years
Solve the formula for r
R= ((A/p)-1)÷t
R=((2,408÷1,400)−1)÷12
R=0.06×100
R=6%
7 0
4 years ago
Please help<br> i reallly need it
Bezzdna [24]

Answer:

  • 300 in³

Step-by-step explanation:

<u>The volume is:</u>

  • V = Bh, where B- area of base, h - height

<u>Find the area of base, which is the trapezoid:</u>

  • B = 1/2*(5 + 7.5)*6 = 37.5 in²

<u>Find the volume:</u>

  • V = 37.5*8 = 300 in³
7 0
3 years ago
Mr. Walker, the contest sponsor, bought toy Wheels in a package of six dozen for $81. what was the unit cost of each wheel?
pshichka [43]

Answer:

1.125

Step-by-step explanation:

the unit cost is how much it cost per wheel

dozen is 12

so 12 times 6 is 72

so then you do 81/72 to get your answer

and you are probably wondering how i got the divison from was because i'm supposed to divide to find a unit cost.

the 81 was the total for the 72 packages of toy wheels

5 0
3 years ago
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