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3 years ago

I need help on this also could I get an explanation on how you solved it? Please don't take my points ill get u banned. :P

Mathematics

2 answers:

mestny [16]3 years ago

7 0

1/16
Hope this helps, have a good day
^^

kenny6666 [7]3 years ago

6 0

Answer:

1/2

Step-by-step explanation:

4 is the total right and 5/7 make it half so it will be 1/2. hope this helps!

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Let t = cosA + sinA find values of t if 2 - sin2A = 2(cosA + sinA)

Zinaida [17]

$2 - \sin(2A) = 2(\cos A + \sin A)\\\\2-2\sin A\cos A=2\cos A+2\sin A\\\\2\sin A\cos A+2\cos A+2\sin A-2=0\\\\1+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\\sin^2 A+\cos^2 A+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2(\cos A+\sin A)-3=0\\\\\\t^2+2t-3=0\\\\t^2+2t+1-4=0\\\\(t+1)^2=4\\\\t+1=2\qquad\vee \qquad t+1=-2\\\\\\\boxed{t=1\qquad\vee\qquad t=-3}$

When $A\in\mathbb{R}$

$t=\cos A+\sin A\in[-\sqrt{2};\sqrt{2}]\approx[-1.4142;1.4142]$

and there is only one answer t = 1.

For $A\in\mathbb{C}$ both values are correct.

4 0

4 years ago

How do i solve this?

AleksAgata [21]

This is what you do.

(3)^(-9+7)= (3)^(-2)

= (1/3)^2

=1/9

4 0

3 years ago

Consider the following: A medical researcher wants to determine the effects of pH (a measure of alkalinity or acidity, with pure

natita [175]

Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

Data in the table:

PH 4 5 6 7 8 9 10 11

Bacteria 116 120 131 136 141 151 148 163

Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?

<h3>Solution</h3>

See attached for scatter plot

We can see the chart is close to linear function. Let's build one based on data in the table

The line will be in the form of:

y = mx + b

If we use two points and get the equation

(4, 116) and (8, 141)

Finding the slope:

m = (141-116)/(8-4) = 25/4 = 6.25

Then, finding y-intercept:

116 = 6.25*4 + b
b = 116 - 25 = 91

So the line is:

y = 6.25x + 91

Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above