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1 year ago

What is the area of the figure below?

Mathematics

2 answers:

ohaa [14]1 year ago

6 0

The area of the figure is 33. you multiply 4*2=8 and 5*5=25 then add and you get 33

vlabodo [156]1 year ago

6 0

Answer:

two small end square area=s^2.s=3.s^2=9.

but there are 2

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Assume that trees are subjected to different levels of carbon dioxide atmosphere with 7% of the trees in a minimal growth condit

taurus [48]

Answer: The mean and standard deviation are 567.2 and 89.88 resp.

Step-by-step explanation:

Since we have given that

For 370 parts per million = 7% = 0.07

For 440 parts per million = 10% = 0.10

For 550 parts per million = 49% = 0.49

For 670 parts per million = 34% = 0.34

So, Mean of the carbon dioxide atmosphere for these trees would be

$E[x]=370\times 0.07+440\times 0.1+550\times 0.49+670\times 0.34=567.2$

And

$E[x^2]=370^2\times 0.07+440^2\times 0.1+550^2\times 0.49+670^2\times 0.34=329794$

So, Variance would be

$Var\ x=E[x^2]-E[x]^2=329794-567.2^2=8078.16$

So, the standard deviation would be

$\sigma=\sqrt{8078.16}=89.88$

Hence, the mean and standard deviation are 567.2 and 89.88 resp.

3 0

3 years ago

Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))

horsena [70]

$\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\$

$\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]$

6 0

2 years ago

Fill in the missing numbers to create equivalent ratios.

jasenka [17]

Step-by-step explanation:

The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)

2/5 = x/10

The means in this equivalent ration are 5 and x. The extremes are 2 and 10.

5x = 20

Now solve =)

x = 4

That was pretty simple. Let's move on to the next one. Do exactly the same thing here:

4/10 = 6/x

60 = 4x

15 = x

That was pretty simple, too! Keep going!

6/15 = x/25

15x = 150

x = 10

All of these should be equal, so check them by dividing:

2/5 = 0.4

4/10 = 0.4

6/15 = 0.4

10/25 = 0.4

They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25

I really hope this helps you =)

8 0

3 years ago

Read 2 more answers

An artist wants to frame a square painting with an area of 400 square inches . she wants

Artemon [7]

(a) $x^{2}$ = 400
(b) $\sqrt{x^2} = \sqrt{400}$
$x=20,-20$
(c) Only the positive solution makes sense because you cannot have a negative side length.
(d) Since one side of the painting is 20 inches, all four sides together will be 20*4 = 80 inches

6 0

3 years ago

Find the value of (-4)(6)(-7) -178 168 178 -168

kakasveta [241]

Answer:

168

Explanation:

Before we begin, remember the following:

+ve * +ve = +ve -ve * -ve = +ve

+ve * -ve = -ve -ve * +ve = +ve

Now, for the given problem we have:

(-4) * (6) * (-7)

Let's take the first two terms:

(-4) * (6)

Based on the above rules, the product will be negative

Therefore,

(-4) * (6) = -24

Now, the expression became:

(-24) * (-7)

Again, based on the above rule, the product here will be positive

Therefore,

(-24) * (-7) = 168

Hope this helps :)

4 0

3 years ago

Read 2 more answers