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2 years ago

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

Mathematics

2 answers:

Mariana [72]2 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]2 years ago

6 0

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

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Radium-226, an isotope of radium, has a half-life of 1,601 years. Suppose your chemistry teacher has a 50-gram sample of radium-

Sholpan [36]

We know that
Half-life is modeled by the formula
An=A0*(0.5)^[t/h)]
where
An----------> is the amount remaining after a time t
A0----------> is the initial quantity
t------------> is the time
h------------> is the half-life of the decaying quantity

in this problem
h=1601 years
A0=50 g
An=?
t=100 years
An=A0*(0.5)^[t/h)]---------> An=50*(0.5)^[100/1601)]-----> 47.88 gr

the answer is 47.88 g

6 0

2 years ago

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Suppose an exponential function is fit to a set of data. Which of the following residual plots indicates that this function was

Zina [86]

The correct answer is the choice that you have selected, the third choice.

When, we are looking at the residuals for a regression line, we always want to see the points balance like in the third choice. This means that the equation that we found is right in the middle of the points.

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2 years ago

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Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the st

Ronch [10]

From the table, the speed of Corinne is given by

$speed=slope= \frac{2.5-1.25}{20-10} = \frac{1.25}{10} =0.125 \ miles / minute$

From the graph, the speed of Aretha is given by

$speed=slope= \frac{5.5-4.5}{20-10} = \frac{1}{10} =0.1 \ miles / minute$

The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t

Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then

0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140

Therefore, the number of minutes after the start of the race that Corinne will catch Aretha is 140 minutes.

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2 years ago

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Use the values on the number line to find the sampling error.

pantera1 [17]

Part 1:

Given a number line with the point $\bar{x}=3.8$ and the point $\mu=4.27$

The sampling error is given by:

$\bar{x}-\mu=3.8-4.27=-0.47$

Part 2:

Given a number line with the point $\bar{x}=26.43$ and the point $\mu=24.67$

The sampling error is given by:

$\bar{x}-\mu=26.43-24.67=1.76$

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2 years ago

If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?

pochemuha

The is Answer:

Explanation:

We observe that difference between first and second terms =12−5=7
Similarly difference between second and third terms =19−12=7

It shows that the given sequence of numbers is an arithmetic progression with common difference equal to 7.

We know that nth term of an AP whose first term is a1 and whose common difference is d is given by
an=a1+(n–1)d

To find the 12th term, insert given values in the general expression
a12=5+(12–1)7
a12=5+(11)7=5+77=82

4 0

2 years ago

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