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3 years ago

BRAINLIEST WILL BE AWARDED PLEASE HELP

Mathematics

2 answers:

Harman [31]3 years ago

6 0

3 is the answer. Both lines meet at 3.

Hope this helps!

o-na [289]3 years ago

5 0

X=3
Just look at where the two lines intercept and see the x value

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5. Each year a tree farm grows 40 more trees than the number of trees grown the previous year. The farm sells all of their trees

Veronika [31]

Answer:

1710 trees up to 2016 (not including 2016)

2100 trees up to 2016 (including 2016)

Step-by-step explanation:

Given that

Farm started with 30 trees in 2007.

Every year 40 more trees than the previous year.

It is actually an Arithmetic Progression (AP) with

First term, a = 30 and

Common Difference, d = 40

The AP will look like:

30, 70, 110, 150, ....

We have to find the sum of this AP upto 9 terms and 10 terms:

9 terms sum will give us the total number of trees up to 2016 (not including 2016).

10 terms sum will give us the total number of trees up to 2016 (including 2016).

Formula for sum of 'n' terms of an AP:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_9=\dfrac{9}{2}(2\times 30+(9-1)40)\\\Rightarrow S_9=\dfrac{9}{2}(60+320)\\\Rightarrow S_9=\dfrac{9}{2}(380)\\\Rightarrow S_9=9 \times 180 = 1710$

$S_{10}=\dfrac{10}{2}(2\times 30+(10-1)40)\\\Rightarrow S_{10}=5(60+360)\\\Rightarrow S_{10}=5 \times 420\\\Rightarrow S_{10}=2100$

1710 trees up to 2016 (not including 2016)

2100 trees up to 2016 (including 2016)

4 0

2 years ago

Find the volume of this sphere.

SSSSS [86.1K]

Answer:

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had to be 20 characters long...

7 0

2 years ago

The circle given by x^2+y^2-6y-12=0 can be written in standard form like this: x^2+(y-k)^2=21 What is the value of k in this equ

sweet [91]

Answer:

The value of k =3

Step-by-step explanation:

$x^2+y^2-6y-12=0$ We need to solve this equation to become in standard form to find the value of k.

$x^2+y^2-6y-12=0\\x^2+y^2-6y = 12\\(x)^2 +(y^2-2(y)(3)+(3)^2) = 12 +(3)^2\\(x)^2+(y-3)^2 = 12+9\\(x)^2 +(y-3)^2 = 21$

The given standard form is:

$x^2+(y-k)^2=21$

Comparing it with $(x)^2 +(y-3)^2 = 21$

The value of k =3

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2 years ago

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Patrick's favorite shade of purple paint is made with 4 ounces of blue paint for every 3ounces of red paint.

Elan Coil [88]

The ratio of Blue to red in the purple shade that Patrick wants is:
Blue:red=4:3
The mixtures that will create the same shade of purple is:

a] 8ounces of blue paint mixed with 6ounces of red paint
because the ratio of blue to red is 4:3
and
b] 20 ounces of blue paint mixed with 15 ounces of red paint
because the ratio of blue to red is 4:3

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3 years ago

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Murrr4er [49]

The answer is the one on the top

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1 year ago