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marusya05 [52]
3 years ago
7

There are 5 green 6 red 3 purple and 4 blue marbles in a bag. If a marble is chosen, then replaced, and a second marble us drawn

...
P(red and blue)=
Mathematics
1 answer:
Luda [366]3 years ago
4 0
Google the question to find the answer
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Which expression is equivalent to:1/m6
Valentin [98]

Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

8 0
3 years ago
Write the domain as an inequality​
Pavlova-9 [17]

Answer:

x\leq 0

Step-by-step explanation:

The domain is the span of x-values covered by the graph.

From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.

Therefore, the domain is all x-values less than or equal to 0:

x\leq 0

Further notes:

In interval notation, this is:

(-\infty,0]

4 0
3 years ago
Read 2 more answers
A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ 
A = 120 000 000 * e^{0.1411}   \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000

Thus, the population will be 138 million in 2014

8 0
3 years ago
Subtract what is the difference(9*10^10) -(4*10^10) in scientific notation
Studentka2010 [4]

Answer:

5*10^10.

Step-by-step explanation:

9 - 4 = 5.

The last part of the 2 numbers is 10^10,

so the answer is 5* 10^10.

6 0
3 years ago
Create a polynomial function in standard form with a leading coefficient of 2 and zeros at 0 1 and 3 brainly
TEA [102]

Answer:

P(x) = 2x^3 - 8x^2 + 6x

Step-by-step explanation:

Given

p =2 -- Leading coefficient

Zeros: 0, 1\ and\ 3

Required

Determine the polynomial

Represent the zeros with a, b and c.

Such that

a = 0

b = 1

c = 3

The polynomial is:

P(x) = p * (x - a) * (x - b) * (x - c)

P(x) = 2 * (x - 0) * (x - 1) * (x - 3)

P(x) = 2x * (x - 1) * (x - 3)

Open bracket

P(x) = (2x^2 - 2x) * (x - 3)

P(x) = 2x^3 - 6x^2 - 2x^2 + 6x

P(x) = 2x^3 - 8x^2 + 6x

5 0
3 years ago
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