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2 years ago

SOMEONE HELP PLS I NEED SOMEONE TO EXPLAIN STEP BY STEP IM SO CONFUSED

Mathematics

1 answer:

Minchanka [31]2 years ago

4 0

Answer:

x = ln (33)

------------

3 ln (2)

Step-by-step explanation:

2 ^ (3x) = 33

Take the ln of each side

ln ( 2 ^ (3x)) = ln 33

We know ln ( a^b) = b ln a

3x ln (2) = ln 33

3x = ln 33

------------

ln 2

Divide each side by 3

x = ln (33)

------------

3 ln (2)

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ANSWER QUICKLY PLEASE AND THANK YOU!!!

nydimaria [60]

Answer:

2,3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLEASE SHOW HOW YOU GOT THE ANSWER THANKS! GIVING BRAINLIEST!!!

Alexeev081 [22]

Answer:

a) 5 b) 1 c) 0 d) -4

Explanation:

a) 10[(1/2+1/4) + 2(1/8)] ÷ 2

Ok, there's a lot going on. You will want to follow PEMDAS, the acronym of the Order of Operations. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. The M/D can be switched depending on what comes first from left to right, and same goes for A/S.

First, start off by doing everything in the brackets.

Let's add 1/2 and 1/4. To add fractions, they have to have a common denominator. I'm making 1/2 into 2/4 but multiplying the top and bottom by 2. Now it is 2/4 + 1/4 so we can add to get 3/4.

The other thing inside the brackets is 2(1/8). We can just multiply straight across and get 2/8. This can be simplified to 1/4.

Now, we add 3/4 and 1/4. The denominators are already the same, so we can just add them together to get 4/4 or 1.

Rewriting the equation, we now have 10(1)÷2

10•1 = 10

10 ÷ 2 = 5

The answer to question a is 5.

b) √(0.6)² + (0.8)²

First, we need to square both terms. Squaring is the same as multiplying the number by itself.

0.6 • 0.6 = 0.36

0.8 • 0.8 = 0.64

Add them together: 0.36 + 0.64 = 1

√1 = 1

The answer to question b is 1.

c) (1/5 - 3/5) • √6•3/2 + (√36 ÷ √5²)

Let's start with the first bit: (1/5 - 3/5)

The denominators are the same, so just subtract and you get -2/5

The second bit now: $\sqrt{6 *\frac{3}{2} }$

Multiply across and you get 18/2, which can be simplified to 9

√9 = 3

The third section: ( $\sqrt{36}$ ÷ $\sqrt{5^{2} }$ )

The square root of 36 = 6 (because 6•6=36, so it's right)

The square root and the square cancel each other out, so the second part is 5.

6 ÷ 5 = 1.2

Now put it all together: -2/5 • 3 + 1.2

I'm making the 1.2 into a fraction so it is the same as the fraction: 1.2 = 6/5

We now have -2/5 • 3 + 6/5

First we multiply -2/5 and 3 across:

-2/5 • 3 = -6/5

Now we add -6/5 and 6/5 across:

-6/5 + 6/5 = 0

d) [-1.5 + √0.25 - (-0.75)] • 2^4

Doing the brackets first:

The square root of 0.25 = 0.5 (because 0.5 • 0.5 = 0.25)

-1.5 + 0.5 - -0.75

-1 + 0.75 (subtracting a negative make a positive)

-0.25

-0.25 • 2^4

2^4 = 16 (this is saying 2•2•2•2 which is 16)

-.25 • 16 = -4

7 0

2 years ago

Briefly describe scientific notation. how is it useful for writing large and small numbers? how is it useful for making approx

Alenkasestr [34]

Scientific notation, also called pattern or notation in exponential form, is a way of writing numbers that accommodate values too large (100000000000) or small (0.00000000001) to be written in a conventional manner.

The use of this notation is based on powers of 104
Example:
Big numbers:
$100000000000 = 1 * 10 ^ {11}
$
Small numbers:
$0.00000000001 = 1 * 10 ^{-11}$

However, in areas such as physics and chemistry, scientific notation is important to make approximations such as:
mass of a proton
mass of an electron and others.

4 0

3 years ago

Four times jose's Age decreased by 3 is equal to 3 times jose's Age, increased by 7. How old is Jose?

Maksim231197 [3]

Jose's age is 10 years

working

let jose's age be x yrs

4x-3=3x+7

x=10

to prove this point replace x with 10 in the equation above

6 0

3 years ago