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NikAS [45]
3 years ago
6

Last month, a coral reef grew 5000 millimeters taller. How much did it grow in meters? Be sure to include the correct unit in yo

ur answer.
Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0
The correct answer is 5 meters.
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Applying Rate of change
olga nikolaevna [1]
\bf \begin{array}{ccllll}
minutes(x)&Mbs\ left(y)\\
-----&-----\\
2&38.4\\
8&9.6
\end{array}\\\\
-----------------------------\\\\
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\impliedby \textit{rate of change}
\\\\\\
m=\cfrac{9.6-38.4}{8-2}\implies m=-\cfrac{24}{5}\iff m= -4.8

now, notice, the rate of change for downloading is negative, because, "y" is decreasing,  namely the Mbs to be downloaded, are less and less and less as the minutes go by, because the file is almost fully downloaded

so is -4.8

now... at 8minutes, there are 9.6Mbs to download
bear in mind that 9.6 is just 4.8 * 2
that simply means, another minute, another 4.8 Mbs, and another minute and another 4.8 Mbs and the file is done

so, the file downloaded really in 10minutes

now, we know the rate is -4.8 or -24/5,   let us nevermind the sign for now

since we know the file is downloading at 24Mbs in 5minutes, a rate of 24/5

how much is it for 10 minutes?   well 10 is really just 5 * 2

so if it downloads at a rate of 24Mbs per 5mins, in 10 minutes it downloaded 24*2 or 48Mbs
7 0
3 years ago
At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progr
dmitriy555 [2]
X = number of singles matches
y = number of doubles mnathes

so we have the equation x + y = 13.......(1)

also 

2x + 4y  = 38 ...........(2)

(1) and (2) are the required equations

b)  Find how many maches are in progress by solivng the above equations:-

x + y  =  13   multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38   Adding to removes the  terms in x:-

2y = 12

y = 6  

so x = 13-6 = 7

So the answer is  6 double matches and 7 singles are in progress.
5 0
3 years ago
What is the distance between (5,2) and (-3,4) on a coordinate plane
maksim [4K]
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 5}}\quad ,&{{ 2}})\quad 
%  (c,d)
&({{ -3}}\quad ,&{{ 4}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[-3-5]^2+[4-2]^2}
5 0
3 years ago
What is the value of x?
Anestetic [448]

They are congruent triangles,

Ratio of their corresponding sides is 5:25, =1:5 (look for hypotenuse)

so, 5x = 18-x   (same manner for variable one)

  18 = 6x

   x=3

SO, OPTION C IS THE ANSWER.

6 0
3 years ago
Read 2 more answers
Continue The Pattern: 7, 13, 19 ; hint; the next five numbers are not 25, 31, 37, 43, & 49
Lana71 [14]

The difference between every two adjacent members of the series is constant and equal to 6.


7 0
3 years ago
Read 2 more answers
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