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PilotLPTM [1.2K]
3 years ago
9

Choose a positive number. Using this number as the base, evaluate it when the exponent is 3, 0, and -2. Show all work.

Mathematics
2 answers:
serious [3.7K]3 years ago
6 0
Step by step explaination:
Positive number = 5
When Exponent is 3, it equals: 125
When exponent is 0, it equals: 1
When exponent is -2, it equals: 1/25 or .04
Nutka1998 [239]3 years ago
5 0

Answer:

1= 8

2= 1

3= ¼

Step-by-step explanation:

Let me choose 2. 2 becomes my base.

When the exponent is 3

1. 2³ = 2 * 2 * 2

= 8

When the exponent is 0

2. 2^0.

From the laws of indices. Exponent zero to any number = 1.

Therefore, 2^0 = 1

When the exponent is = -2

3. 2 `² = ¹/2 * 2

= ¼

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Y=6x-11<br> -2x-3y=-7 gnjjj
KiRa [710]

Answer:

x=2 y=1

Step-by-step explanation:

Solve the equations by substituting y=6x-11 into -2x-3y=-7.

-2x-3(6x-11)=-7

-2x-18x+33=-7

-20x+33=-7

-20x=-7-33

-20x=-40

x=2

To find y, substitute this value into the equation and solve for y.

y=6(2)-11

y=12-11

y=1

7 0
2 years ago
Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).
antoniya [11.8K]

The perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

<h3>What a quadrilateral?</h3>

A quadrilateral is simply a polygon with four sides, four angles, and four vertices.

To get the perimeter, we simply add the values of the four side.

Given that;

The vertices are at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

To get the dimension between the given coordinates, we use;

 d = √((x2 -x1)² +(y2 - y1)²)

For length CD, DE, EF and FC

CD = √((2 - (-2))² + (4 - 1)²) = √( 16+9) = √25 = 5

DE = √((5 - 2)² + (0 - 4)²) = √( 9+16) = √25 = 5

EF = √((1 - 5)² + (-3 - 0)²) = √( 16+9) = √25 = 5

FC = √((-2 - 1)² + ( 1 - (-3))²) = √( 9+16) = √25 = 5

Perimeter of the quadrilateral = CD + DE + EF + FC

Perimeter of the quadrilateral = 5 + 5 + 5 + 5

Perimeter of the quadrilateral = 20units

Therefore, the perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

Learn more about area of rectangle here: brainly.com/question/27612962

#SPJ1

6 0
2 years ago
Read 2 more answers
You are given a choice of taking the simple interest on $100,000 invested for 2 years at a rate of 3% or the interest on $100,00
valentinak56 [21]

Answer:

Step-by-step explanation:

the simple interest formula= principal* interest rate*time

simple interest : 100000*%2*2 years

simple interest= 4000 dollars

compound quarterly : A=principal(1+r/4)^t

since it is quarterly and have 4 quarters in a year, and 8 in two years.

compound quarterly: 100000(1+0.03/4)^8=106159.88

it is better to invest with compound interest because it add 6159 dollars in two years to the investment of 100000 dollars.

the difference between the interest: 6159.88-4000=2159.88

5 0
3 years ago
Brielle is making a mosaic picture that is ¼ foot by ¾ foot. What is the area of her mosaic?
fenix001 [56]
1/4 x 3/4 = 3/16 ft squared
6 0
2 years ago
Anyone know the answer ? Please is it a function or relation?
levacccp [35]

Answer: i think its a function

Step-by-step explanation:

3 0
3 years ago
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