All categories

3 years ago

Name three different ways you can represent a group of equivalent ratios.

Mathematics

2 answers:

KonstantinChe [14]3 years ago

3 0

One way is by using the same number

Ainat [17]3 years ago

3 0

One way is by using the same number

You might be interested in

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

10 months ago

A bar graph in which the bars are arranged in frequency order is

Kruka [31]

It is the Pareto Graph. It is a bar graph in which bars are arranged in frequency order. Pareto graph is the combination of bar and line graph that displays the data in a descending order. It has an 80/20 rule.

4 0

3 years ago

Write in y= mx + b form: a line through (-3,1) having the same y-intercept as the graph of x-2y=-4

MariettaO [177]

Step-by-step explanation:

Aight, so the same intercept

$- 2y = - 4 - x = = = > \\ y = \frac{1}{2} x + 2$

m=½

$y = \frac{1}{2} x + b = = = > \\ now \: let \: us \: replace \: the \: point \\ 1 = \frac{1}{2} ( - 3) + b = = = > \\ \frac{5}{2} = b$

soooo

$y = \frac{1}{2} x + \frac{5}{2}$

7 0

2 years ago

Solve for x. Find the angle measures. Angle AOB=x+3, angle AOC=2x+11, angle BOC=4x-7

Ghella [55]

Answer:

x=5

AOB = 8

BOC = 13

AOC = 21

Step-by-step explanation:

Angle AOB and Angle BOC is equal to Angle AOC.

AOB = x+3

BOC = 4x-7

AOC= 2x+11

AOB + BOC = AOC

x+3+4x-7 = 2x+11

5x-4 = 2x+11

3x = 15

x = 5

Therefore, the value of x is 5.

Angle AOB = x+3

AOB = 5+3

AOB = 8

Angle BOC = 4x-7

BOC = 4(5)-7

BOC = 13

Angle AOC = 2x+11

AOC = 2(5)+11

AOC = 21

4 0

2 years ago

Read 2 more answers

a line in the Cartesian plane passes through the points (1,3) and (5,4) what is the slope of the line?

Ymorist [56]

The slope of the line is 3

5 0

3 years ago