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3 years ago

12

Can anyone please help I am struggling with math and Noone wants to help me and I want to learn so does anyone understand HOW u

factor this

1 answer:

vlada-n [284]3 years ago

4 0

Answer:

Step-by-step explanation:

256 = 16×16=4×4×4×4 = 4^4

X^4-4^4 = (x^2)^2 - (4^2)^2

Using algebraic identity a^2-b^2 = (a+b)(a-b)

We get (x^2+4^2)(x^2-4^2)

(x^2+4^2)(x+2)(x-2)

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The mass of a bacteria culture doubles every four days. If the initial sample is 5mg: a) how much will you have after one week (

maks197457 [2]

Answer:

a) 16.82 mg

b) 24 days

Step-by-step explanation:

Formula for exponential growth is given as:

$A=A_0b^{\frac{t}{c}}$

Where A is the final population

$A_0$ is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, We are given the following:

$A_0$ = 5 mg

b = 2 (Given because it doubles)

c = 4 days

a) A = ?

Using the formula:

$A=5 \times 2^{\frac{7}{4}}\\\Rightarrow A=5 \times 2^{1.75} \\\Rightarrow A = \bold{16.82\ mg}$

b) Given

A = 320 mg

t = ?

Using the above formula again:

$320 = 5 \times 2^{\frac{t}{4}}\\\Rightarrow \dfrac{320} 5= 2^{\frac{t}{4}}\\\Rightarrow 2^{\frac{t}{4}} = 64\\\Rightarrow 2^{\frac{t}{4}} = 2^6\\\Rightarrow \dfrac{t}{4} = 6\\\Rightarrow t = 6 \times 4\\\Rightarrow \bold{t = 24\ days}$

So, the answers are:

a) 16.82 mg

b) 24 days

6 0

3 years ago

The angles represented by the expressions (2x+46) and (3x-6) are complementary angles. find the measure of the larger angle. Im

ivolga24 [154]

Answer:

66

Step-by-step explanation:

complimentary angles add up to 90 so:

3x-6 + 2x +46 = 90

5x +40 = 90

5x = 50

x = 10

2(10)+46 = 66

3(10) - 6 = 24

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Step-by-step explanation:

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