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dedylja [7]
2 years ago
14

What is the value of c in the equation below? 2^-4(2^2)=a^b=c

Mathematics
1 answer:
Triss [41]2 years ago
5 0

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

So for this question :

{2}^{ - 4}  \times  {2}^{2}

=  {2}^{ - 4 + 2}

=  {2}^{ - 2}

{a}^{b}  = c \\ c =  {2}^{ - 2}

c =  \frac{1}{ {2}^{2} }

c =  \frac{1}{4}

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Is the statement below always,sometimes,or never true? Give at least two examples to support your reasoning. The LCM of two numb
Natali5045456 [20]

Answer:

  • True for Co-Prime Numbers
  • False for Non Co-Prime Numbers

Step-by-step explanation:

<u>STATEMENT:</u> The LCM of two numbers is the product of the two numbers.

This statement is not true except if the two numbers are co-prime numbers.

Two integers a and b are said to be co-prime if the only positive integer  that divides both of them is 1.

<u>Example: </u>

  • Given the numbers 4 and 7, the only integer that divides them is 1, therefore they are co-prime numbers and their LCM is their product 28.
  • However, consider the number 4 and 8. 1,2 and 4 divides both numbers, they are not co-prime, Their LCM is 8 which is not the product of the numbers.
3 0
2 years ago
Express tan F as a fraction in simplest terms
gladu [14]

Answer:

  5/12

Step-by-step explanation:

You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.

<h3>Tangent</h3>

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...

  Tangent = Opposite/Adjacent

<h3>Application</h3>

The side opposite angle F is GH = 10.

The side adjacent to angle F is FG = 24.

Then the tangent is ...

  tan(F) = GH/FG = 10/24

  tan(F) = 5/12 . . . . . reduced to lowest terms

3 0
1 year ago
Lei had php 150. She spend php 48 for spaghetti and Php 12. For the drinks what percent of her money was left​
musickatia [10]

Answer:

She has 60% of money left.

Step-by-step explanation:

You have to find out how much Php that Lei has left :

Php 150 - Php 48 - Php 12 = Php 90

She has a remaining of Php 90. Next, you have to find the percentage by dividing hy original amount and then, multiply by 100 :

(90/150)×100 = (3/5)×100 = 60%

7 0
3 years ago
Find the product and express it in scientific notation.
Tresset [83]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
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Find the area of the shaded region in the image below. Write your answer as a simplified polynomial in standard form.
Misha Larkins [42]

Answer:

6x^2+17x+9

Step-by-step explanation:

you have to subtract the area of the white rectangle from the area of the entire rectangle

to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3

to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6

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7 0
2 years ago
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