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3 years ago

What is the complement to a 32 angle

2 answers:

6 0

Complement of angle 32 degree is the angle which when added with 32 will yield 90 degree. Similarly the complement of angle 58 degree is 32 degree. In a right angled triangle, the two angles other than 90 degree are complement to each other.

sineoko [7]3 years ago

4 0

2 angles are comlementary if they add to 90
so if x and y are complentary then x+y=90

the complemnt to a 32 degree angle is
32+x=90
minus 32 both sides
x=58 degres

the complement is 58 degrees

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Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

3 years ago

Jenna can swim 150 meters in 3 minutes. If you graph this with minutes on the X-axis and meters on the Y-axis, what will be the

egoroff_w [7]

Answer: The x-intercept is where a line crosses the x-axis, and the y-intercept is the point ... Thinking about intercepts helps us graph linear equations. ... Looking at the graph, we can find the intercepts. ... We're asked to determine the intercepts of the graph described by the following linear equation: ... Applying intercepts and slope.

Step-by-step explanation:

3 0

3 years ago

Unattached earlobes are a dominant trait in humans. finn and maggie both have unattached earlobes but their daughter, celia, doe

11111nata11111 [884]

The answer is 1/4.

The genes when combined must be Heterozygous, meaning they have one dominant and one recessive, Celia must have gotten the 1/4 recessive, and it won't change the way genetics are just because you've already had offspring, the percentage stays the same.

6 0

3 years ago

35%Daisy is cooking pasta. The recipe says she needs 480 grams of pasta for 4 people. How many kilograms will she need for 14

pav-90 [236]

4 people = 480 grams of pasta

1 person = 480 ÷ 4 = 120 grams of pasta

14 people = 120 x 14 = 1680 grams of pasta

1680g = 1680 ÷ 1000 = 1.68 kg

Answer: 1.68 kg of pasta

4 0

3 years ago

Can someone explain number five??

vazorg [7]

Remark

You have 40 dollars to spend.

AT & T

Let the number of minutes = M

A. 20 + 0.10*M ≤ 40

B. 20 + 0.10*M ≤ 40 Subtract 20 from both sides.

20 - 20 + 0.10M ≤ 40 - 20

0.10M ≤ 20 Divide by 0.10

0.10M/0.10 ≤20/0.10

M≤ 200 minutes.

Verizon

15 + ( M ≥ 300)*0.50 ≤ 40

15 + ( M ≥ 300)*0.50 ≤ 40 Subtract 15 from both sides.

(M≥300)*0.50 ≤ 25

(M≥300) ≤ 50 minutes.

This last one is a good deal more complicated. What it means is that if you are under 300 minutes, you pay only 15 dollars. If you are over 300 minutes, you can only go 50 more minutes before over extend your budget.

Part C

These are alike in that they have a flat rate associated with them and both have a budgeted amount that has to be obeyed.

They are quite different in what they offer. The second plan is for people who use their cell phone quite a bit. For people like us (emergency only), the first plan is much better. We would always be within our 40 dollar limit. We don't use our cell but maybe 10 - 15 minutes a month on average.

Part D

I can't answer this for you. It depends on where you live and who offers you the best coverage. I would pick the first one, but that doesn't mean that it would be best for you.

5 0

3 years ago