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3 years ago

A young oak tree is planted when it is 5 cm tall. It grows 3 cm every month. Write an equation to describe its growth

Mathematics

1 answer:

Naily [24]3 years ago

8 0

Answer:

y=3x+5

Since it's already 5 cm we have +5

every month it would go up by 3 cm so we have 3 and x is to represent the # of months.

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The shape below is a composite figure made up of two rectangular prisms, what is the volume of the figure?

gregori [183]

Answer:

11098 cm³

Step-by-step explanation:

Volume of top prism

V = 62 x 3 x (13 - 7)
V = 186 x 6
V = 1116 cm³

Volume of bottom prism

V = 62 x 23 x 7
V = 1426 x 7
V = 9982 cm³

⇒ Total volume = Volume (top) + Volume (bottom)

⇒ Total volume = 1116 + 9982

⇒ Total volume = 11098 cm³

5 0

2 years ago

Read 2 more answers

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago

Can someone help me please

Fudgin [204]

Answer:

The answer is D

Step-by-step explanation:

1/8 is the equivalent to 0.12

square root of 0.02 is 0.14

18% is equal to 0.18

3 0

2 years ago

Read 2 more answers

Maria received 5/7 of the 42 votes cast for class president. how many votes did she receive?

baherus [9]

42/7= 6
5*6=30
30 votes

6 0

3 years ago

You have 2 buckets of water, inside the 1st bucket the temperature of the water is 25ºC, inside the 2nd bucket the water is 25ºF

Elanso [62]

The first bucket,because when we convert the both values in same units , we will observe that the temperature of first bucket is higher and second bucket is lower alternatively the kinetic energy in first bucket is higher and everything in it would move fast.

7 0

2 years ago