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3 years ago

Write the equation of the line graphed below.

Mathematics

1 answer:

trapecia [35]3 years ago

6 0

<h2>y = -0.25x + 2</h2><h3></h3><h3><em>Please let me know if I am wrong.</em></h3>

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The exponential function that models cell duplication in a lab is f(t) = 2^ t+2 where f(t) is the number of cells after time t (

o-na [289]

ANSWER

$11.29 \: hours$

EXPLANATION

The exponential function that models cell duplication in the lab is given as

$f(t) = {2}^{t + 2}$

We want to determine the time it will take for the cells to increase to
$10,000.$

In other words, we want to find the value of
$t$
when
$f(t) = 10,000$

This gives us the equation,

$10,000 = {2}^{t + 2}$

Recall that,

${a}^{m + n} = {a}^{m} \times {a}^{n}$

We apply this property to the right hand side to obtain,

$10,000 = {2}^{t} \times {2}^{2}$

This implies that,

$10,000 =4 \times {2}^{t}$

We divide both sides by 4 to get,

$2500 = {2}^{t}$

We take the antilogarithm of both sides to base 10 to get,

$t = log_{2}(2500)$

This implies that,

$t = 11.29 \: hours$
to the nearest hundredth.

6 0

4 years ago

Read 2 more answers

Gary and Richard are practicing tying knots. Richard already has 3 knots tied when Gary starts.

Artyom0805 [142]

In graphs of linear relationships, you can always determine a proportional linear relationship by observing where the line crosses the y axis. If the line crosses through the origin, then the relationship is proportional. This means that the independent data(in this case time) can be multiplied by a constant factor to always get it's related dependent piece of data.

From the graph you might notice some data points for Gary: At 2mins he completes 1.5 knots or the ordered pair (2, 1.5). We see another data point at 4mins he completes 3 knots or the ordered pair (4,3). How about the ordered pair (6, 4.5)? Notice that if I multiply the "x" coordinate of all these ordered pairs by 0.75, I get the "y" coordinate. Or maybe another way to look at it, the "y" coordinate of each point on the line divided its corresponding "x" coordinate will always produce the same number, 0.75. This number, 0.75, is called the constant of proportionality.

So, the answer to this problem is choice "D"

Summary: To identify proportional linear relationship from a graph, look for the line that goes through the origin. To find the constant of proportionality, determine the coordinates of a convenient point on the line and divide the y coordinate by the x .

5 0

3 years ago

The ant hill is 19.5 cm tall. If 1 cm equals 10mm, how many mm tall is the ant hill?

White raven [17]

Answer: 195 mm

Step-by-step explanation: You multiply 19.5 by 10 because you need to find out how many milimeters are in 19.5 cm,

7 0

3 years ago

Gregory has 52 angelfish and 24 cichlid fish in his aquarium. Unfortunately, many of his fish got a sickness called "ick". 1/4 o

quester [9]

Answer:

21 fish

Step-by-step explanation:

52/4=13

24/3=8

13+8=21

3 0

3 years ago

If angle 1 =155°, find angle 2, angle 3, and angle 4

Maslowich

angle 2=25

angle 3= 155

angle 4=25

3 0

4 years ago