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skelet666 [1.2K]

2 years ago

6

Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 40 pounds of algae, how much al

gae will be in the pond after 12 hours?

1 answer:

Paul [167]2 years ago

7 0

320 pounds of algea. After 4 hours, it would be 80, After 8 hours, 160. After 12 hours, 320

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The length of a rectangle is equal to triple the width. What are the dimensions of the rectangle if the perimeter is 88cm.

suter [353]

88= 2l + 2w
l=3w
88=2(3w)+2w
88= 6w+2w
88=8w
w=11
l=3(11)
l=33
width= 11
length= 33

3 0

2 years ago

A man drove 11 mi directly east from his home, made a left turn at an intersection, and then traveled 9 mi north to his place of

ludmilkaskok [199]

Answer: 14 miles

Step-by-step explanation:

In the attached figure we can see the two segments the man drove, where the $d$ is the distance of a road that goes from the man's home directly to his work.

It should be noted that $d$ is also the hypotenuse of the righ triangle formed. Hence, we can use the Pithagorean theorem to find this distance:

$d=\sqrt{(11 mi)^{2} + (9 mi)^{2}}$

Then:

$d=14.21 mi \approx 14 mi$

3 0

3 years ago

A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?

aleksley [76]

Answer:

The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

<u>An= 14n-31</u>

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

<u>Therfore, the 14th term is 165.</u>

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

<u>solution</u>

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

<u>The first term is given by G1=600</u>

Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

<u>Therefore, the 3rd term is given by G3= </u><u>3</u><u>8</u><u>4</u><u>.</u>

<u>I</u><u> </u><u>h</u><u>a</u><u>v</u><u>e</u><u> </u><u>m</u><u>a</u><u>d</u><u>e</u><u> </u><u>s</u><u>o</u><u>m</u><u>e</u><u> </u><u>C</u><u>o</u><u>r</u><u>r</u><u>e</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u>s</u><u> </u><u>i</u><u> </u><u>m</u><u>e</u><u>s</u><u>s</u><u>e</u><u>d</u><u> </u><u>u</u><u>p</u><u> </u><u>s</u><u>o</u><u>m</u><u>e</u><u>w</u><u>h</u><u>e</u><u>r</u><u>e</u><u>.</u>

7 0

3 years ago

Select the values of r, below, that represent a low or no correlation. (There is more than one answer!)

Anon25 [30]

Ok I have the answers! Anything, whether positive or negative, with the value above .5 has a high correlation. Therefor the answers would be
B-low correlation
C-no correlation
D-low correlation
G- no correlation

I know that's too late for you but hope it helps with any other students struggling!

5 0

3 years ago

AC=5x-4 and CD=16-3x solve for x

mash [69]

X=-13
;;^^^^^^%:^%%%%%%%

3 0

3 years ago