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3 years ago

If 2m = 4x and 2w = 8x, what is m in terms of w?

Mathematics

2 answers:

Mariana [72]3 years ago

6 0

2^m=2^n take the natural log of both sides

m*ln2=n*ln2 divide both sides by ln2

m=n

CaHeK987 [17]3 years ago

6 0

You can simply divide the eqution or you substitute the value of x in any equation.

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Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property. Determine if Alondra is correc

MAXImum [283]

Answer:

Step-by-step explanation:

(12 + 31) × 5 = 215

12 + 31 × 5 = 167

order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.

Order of Operations :

1. Parentheses

2. Exponents

3. Multiplication and Division

4. Addition and Subtraction

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2 years ago

A survey revealed that 60% of people are entertained by reading books, 50% are entertained by watching TV, and 20% are entertain

Rainbow [258]

Question seem incorrect because 60%,50% and 20% sum up to more than a 100% therefore we've made a little correction

Answer:

0.8

Step-by-step explanation:

Probability = number of favorable outcomes/number of outcomes

Given that 30% are entertained by reading books

50% are entertained by watching TV

20% are entertained by reading books and watching TV

The probability that a person will be entertained by books or TV =

30/100+50/100= 3/10+5/10

=8/10

=0.8

4 0

3 years ago

For f(x) = 3x^2 + 2x - 1, identify the rule for g(x) = f(x + 1) - 6 and it's graph.

PilotLPTM [1.2K]

2x2 + x −#6 _____________

x2 − 1

∙ x

2 + 2x + 1

x 2 − 4

Rewrite as multiplication.

(2x − 3)(x + 2) __

(x + 1)(x − 1) ∙ (x + 1)(x + 1) __ (x + 2)(x − 2) Factor the numerator and denominator.

(2x − 3)(x + 2)(x + 1)(x + 1) ___ (x + 1)(x − 1)(x + 2)(x − 2) Multiply numerators and denominators.

(2x − 3)(x + 2)(x + 1)(x + 1) ___ (x + 1)(x − 1)(x + 2)(x − 2) Cancel common factors to simplify.

(2x − 3)(x + 1) __ (x − 1)(x − 2)

4 0

3 years ago

There are two urns, each of them containing two blue balls and two red balls. We randomly draw two balls from the first urn and

mafiozo [28]

Answer: 50/50

Step-by-step explanation:

6 0

3 years ago

Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of t

Evgesh-ka [11]

Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles

$Tan (x) = \frac{opposite}{adjacent}$
$Tan(x)= \frac{4}{2}$
$Tan(x)=2$
$Tan^{-1}(2)=63.43494882$
$Angle x=63.43$

$Tan(y)= \frac{opposite}{adjacent}$
$Tan(y)= \frac{2}{4}$
$Tan^{-1}(0.5)=26.56505118$
$Angle y=26.6$

Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)

3 0

3 years ago

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