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3 years ago

How do you solve f(x) = 800(1.09)3x

Mathematics

1 answer:

natta225 [31]3 years ago

8 0

Answer:

2616x

Step-by-step explanation:

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Fine the next three terms in each geometric sequence<br> 2,-10,50,...

lakkis [162]

Answer:

2, -10, 50, -250, 1250, -6250

Step-by-step explanation:

its times -5 every time

4 0

3 years ago

Plzz add an explanation for it too

DIA [1.3K]

Answer:

A $0.02

Step-by-step explanation:

Let's solve how much does it cost to have a bulb on for an hour. ⇒ 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per ⇒ 0.1 kilowatt per hour* 0.20 = 0.02 dollars in an hour.

3 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth.

schepotkina [342]

Answer:

4.5

Step-by-step explanation:

To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that $a^{2}+b^{2} =c^{2}$ . Plugging in the values of the two legs given, we get $2^{2} +4^{2} =c^{2} =20$ . We can take the square root of each side and get that $c=\sqrt{20} =4.5$ .

4 0

2 years ago

Read 2 more answers

A 12-cm-long thin rod has the nonuniform charge density λ(x)=(2.0 nC/cm)e−|x|/(6.0 cm), where x is measured from the center of t

Inessa [10]

Answer:

the total charge is

$Q=24(1-\exp(-1))nC\approx15.171nC$

Step-by-step explanation:

Since x is measured from the center, that means that x=0 is the center so the edges of the rod correspond to x=-6 and x=6. that meas that the total charge can be calculated as

$Q=\int^{6}_{-6}2\exp\left(\frac{-|x|}{6}\right)dx$

separating the integral from -6 to 0 and from 0 to 6, taking into account that |x|=-x for x<0 and |x|=x for x >=0, we get $Q=\int^{0}_{-6}2\exp\left(\frac{x}{6}\right)dx+\int^{6}_{0}2\exp\left(\frac{-x}{6}\right)dx$

using the substitution x=-u in the first integral we get $\int^{0}_{-6}2\exp\left(\frac{x}{6}\right)dx=-\int^{0}_{6}2\exp\left(\frac{-u}{6}\right)du=\int^{6}_{0}2\exp\left(\frac{-u}{6}\right)du$

which is the same as the first integral. Thus, the total charge is given by

$Q=2\int^{6}_{0}2\exp\left(\frac{-x}{6}\right)dx$

integrating we get

$Q=4(-6\exp\left(\frac{-x}{6}\right))\big|^{6}_{0}=-24(\exp(-6/6)-\exp(0))=24(1-\exp(-1))$

4 0

3 years ago

The function f(t)=3t2.

pishuonlain [190]

$\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\ -------------------------------\\\\ f(t)= 3t^2 \qquad \begin{cases} t_1=1\\ t_2=1.001 \end{cases}\implies \cfrac{f(1.001)-f(1)}{1.001-1} \\\\\\ \cfrac{3(1.001)^2~~-~~3(1)^2}{0.001}\implies \cfrac{3.006003~-~3}{0.001} \\\\\\ \cfrac{0.006003}{0.001}\implies 6.003$

3 0

3 years ago

Read 2 more answers