Express the following as decimal 75%

Mathematics

2 answers:

Allushta [10]3 years ago

7 0

Answer:

75% in decimal is 0.75

Step-by-step explanation:

nignag [31]3 years ago

4 0

Answer:

0.75

Hope this helps!

Step-by-step explanation:

All you will do is move the decimal ( which is after the 5) two spaces to the left.

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F(x+h) = (x+h)² + 3(x+h)^3 How would I distribute this?

Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

Order of Operations: BPEMDAS
Distributive Property
Expand by FOIL (First Outside Inside Last)
Combining like terms

Step-by-step explanation:

Step 1: Define function

f(x) = x² + 3x³

f(x + h) is x = x + h

Step 2: Simplify

Substitute: f(x + h) = (x + h)² + 3(x + h)³
Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³
Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx

3 0

2 years ago

What is the exact value of x in the exponential equation 2^5x − 57 = 43?

katovenus [111]

Start by getting the term with the exponent on one side
$2^{5x}=100$

take the log of both sides
$log 2^{5x} =log100$

There is a log rule that says we can bring down the exponent
$5xlog2=log100$

Solve for x
$5x= \frac{log100}{log2}$
5x=6.64

answer: x=1.33

4 0

3 years ago

Use 1/2ab sin C formula pls

Harman [31]

Step-by-step explanation:

$area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units$