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3 years ago

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I need help filling in the blank

1 answer:

Rudik [331]3 years ago

6 0

The basic format for an exponential equation is y=ab^x

You know the Initial value is 16 and the decay constant is 0.5:

y=16x0.5^x

Percent increased by: 0.5/16 x 100%
=3.125%

I have attached the graph below.

Sample problem:
Scientists started with an unknown sample. They weighed 16 grams of it. They noticed soon after that the sample was decaying at the speed of 0.5 grams every year. Model an equation.

Hope I helped :)

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she has 2 1/2 cups of peanuts. 3 1/4 cups of rainsins and 2 2/3 cups of banana chips. how many cups of trail mix can she make

andriy [413]

Answer:

8 cups of trail mix

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

Use trigonometric substitution to evaluate the integral 13 + 12x − x2 dx . First, write the expression under the radical in an a

SCORPION-xisa [38]

I don't see a square root sign anywhere, so I'll assume the integral is

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx$

First complete the square:

$13+12x-x^2=49-(6-x)^2=7^2-(6-x)^2$

Now in the integral, substitute

$6-x=7\sin t\implies\mathrm dx=-7\cos t\,\mathrm dt$

so that

$t=\sin^{-1}\left(\dfrac{6-x}7\right)$

Under this change of variables, we have

$7^2-(6-x)^2=7^2-7^2\sin^2t=7^2(1-\sin^2t)=7^2\cos^2t$

so that

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx=-7\int\sqrt{7^2\cos^2t}\,\cos t\,\mathrm dt=-49\int|\cos t|\cos t\,\mathrm dt$

Under the right conditions, namely that cos(<em>t</em>) > 0, we can further reduce the integrand to

$|\cos t|\cos t=\cos^2t=\dfrac{1+\cos(2t)}2$

$\displaystyle-49\int|\cos t|\cos t\,\mathrm dt=-\frac{49}2\int(1+\cos(2t))\,\mathrm dt=-\frac{49}2\left(t+\frac12\sin(2t)\right)+C$

Expand the sine term as

$\dfrac12\sin(2t)}=\sin t\cos t$

Then

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \sin t=\dfrac{6-x}7$

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \cos t=\sqrt{7^2-(6-x)^2}=\sqrt{13+12x-x^2}$

So the integral is

$\displaystyle-\frac{49}2\left(\sin^{-1}\left(\dfrac{6-x}7\right)+\dfrac{6-x}7\sqrt{13+12x-x^2}\right)+C$

3 0

3 years ago

Can someone help me please i am so confused and its due today!!

deff fn [24]

Answer:

x is 20

Step-by-step explanation:

7 0

3 years ago

Simplify the expression. (15 + 8)[23 – (10 + 7)]

wariber [46]

(23)(23-17)
(23)(6)
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3 years ago

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Westkost [7]

2.5 is also on the top and try multiplying 2.5 and 10

6 0

3 years ago