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notka56 [123]
3 years ago
8

On a coordinate plane, what is the distance between the points (3,-6) and (-14, -6)

Mathematics
1 answer:
madreJ [45]3 years ago
7 0

Answer:

The distance between both points would be of 17 units

Step-by-step explanation:

they have the same value through the y-axis. However if you count the spots from 3 to -14 their x values are 17 units apart.

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Find the percent of increase from 80 to 90 and choose the appropriate result.
Feliz [49]

Answer:

12.5%

Step-by-step explanation:

% increase = (new value - initial value)/initial value x 100

= (90-80)/80 x 100

=10/80 x 100

= 12.5%

3 0
3 years ago
Question 12<br> Simplify.<br> 54.8-6.9-12<br> 5-2.83.9-4.
trapecia [35]

Answer:

366.

-1493.

Step-by-step explanation:

54.8-6.9-12

You perform the multiplications first:

= 432 - 54 - 12

= 378 - 12

= 366.

5-2.83.9-4

=  5 - 166* 9 - 4

= 5 - 1494 - 4

= -1489 - 4

= -1493

8 0
3 years ago
A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg
horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

0\leq d \leq 12

Part B)

The <em>y-</em>intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from <em>d</em> = 4 to <em>d</em> = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after <em>d</em> days is given by the function:

f(d)=5(1.02)^d

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for <em>d</em>. Therefore:

6.34=5(1.02)^d

Divide both sides by five:

(1.02)^d=1.268

Take the log of both sides with base 1.02:

\displaystyle d=\log_{1.02}1.268

Using the Change of Base Property, evaluate for <em>d: </em>

<em />\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12<em />

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

0\leq d\leq 12

Part 2)

The <em>y-</em>intercept of the function is when <em>d</em> = 0. Find the <em>y-</em>intercept:

f(0)=5(1.02)^{(0)}=5(1)=5

Since <em>d</em> represent the amount of days after the study had begun, the <em>y-</em>intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from <em>d</em> = 4 to <em>d</em> = 11.

Find the endpoints:

f(4)=5.4121...\text{ and } f(11)=6.2168...

And find the slope between them:

\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11

Since f(d) measures millimeters and <em>d</em> measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

5 0
2 years ago
Pedro is conducting an experiment,he is flipping a Fair coin and recording how many times it lands on heads and how many times i
Lostsunrise [7]
<h2>....</h2>

Step-by-step explanation:

5 0
3 years ago
every 30 seconds, Joan places a correct puzzle piece. How long would it take her to complete a 3000 piece puzzle?
k0ka [10]

Answer:

it will take her 90000 seconds to complete 3000 piece of puzzle

Step-by-step explanation:

every 30 seconds, a correct puzzle piece , meaning 1 piece

how long would it take her to complete a 3000 piece puzzle

so let x = how long it would take her to complete a 3000 piece puzzle

so if 30 seconds = 1 piece

x seconds = 3000 piece

x = 90000 seconds

7 0
2 years ago
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