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3 years ago

What is the equation for this trig function?

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

A. y = cos x

Step-by-step explanation:

The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.

Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.

Step-by-step explanation:

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Calculate the circumference. round to the nearest hundredth. 16 inches

goldenfox [79]

Given the radius is, r = 16 in,

The expression for the circumference of a circle is,

$C=2\pi r$

Therefore, we have,

$C=2\times3.14\times16\text{ in = }100.48\text{ in}$

Thus, the circumference of the circle is 100.48 in.

6 0

9 months ago

The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

elena-14-01-66 [18.8K]

If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

$S(t+1)=(1-0.025)S(t)=0.975S(t)$

Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

or simply

$S(t)=0.975^ts$

So that after 50 years, the amount of strontium-90 that remains is approximately

$S(50)=0.975^{50}s\approx0.282s$

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

where $t$ is measured in years. We're told that 2.5% of the starting amount $s$ decays after 1 year, so that

$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

5 0

3 years ago

Question 16 (5 points)

enyata [817]

Your answer should be 42

4 0

3 years ago

Read 2 more answers

Anyone help please!!!!

Andre45 [30]

We are to verify the identity:

cos(α-B)-cos(α+B) = 2 sinα sinβ

Left hand side = cos(α - B)-cos(α + B)

= cosα cosβ + sinα sinB - (cosα cosB - sinα sinβ)

= cosα cosβ + sinα sinB - cosα cosB + sinα sinβ)

= sinα sinβ + sinα sinβ

= 2 sinα sinβ

= Right Hand side

6 0

3 years ago

Read 2 more answers

4. The base of a triangle is 4 3/4ft. The height of the

astra-53 [7]

Answer:

39 $\frac{9}{10\\}$

Step-by-step explanation:

4 $\frac{3}{4}$ × 8 $\frac{2}{5}$ = 39 $\frac{9}{10\\}$

6 0

3 years ago