3 years ago

Write and graph exponential decay function

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

P
pp is an exponential function with an initial value of

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PLS HELP!!!!What are the sine, cosine and tangent ratios of<br>angle W in the triangle below

Ksju [112]

Step-by-step explanation:

Remember SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

The side adjacent to W is 4. The side opposite of W is 3. The hypotenuse is 5.

Therefore:

Sine = 3 / 5

Cosine = 4 / 5

Tangent = 3 / 4

7 0

3 years ago

Joey's closet is unorganized and contains 7 black short-sleeve shirts, 4 black long-

Ierofanga [76]

Answer:

2/3

Step-by-step explanation:

3 + 7 + 4 = 14

14 + 7 = 21

14/21 = 2/3

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2 years ago

G prove that limx→∞(x 2 + 1)/x2 = 1 using the definition of limit at ∞.

Maslowich

$\displaystyle\lim_{x\to\infty}\frac{x^2+1}{x^2}=1$

means to say there is some number $M$ for which any choice of $\varepsilon>0$ such that

$x>M\implies\left|\dfrac{x^2+1}{x^2}-1\right|$

Working backwards, we have

$\left|\dfrac{x^2+1}{x^2}-1\right|=\left|1+\dfrac1{x^2}-1\right|=\dfrac1{x^2}$
$\implies\sqrt{\dfrac1{x^2}}$

So, whenever $x>M=\dfrac1{\sqrt\varepsilon}$ , we can always guarantee that $\left|\dfrac{x^2+1}{x^2}-1\right|$ .