3 years ago

18

Mathematics

1 answer:

marishachu [46]3 years ago

5 0

3 x 100 + 2 x 1000
300+ 2000
2300
2.3x10^3

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Very easy! 15 points!

Irina-Kira [14]

Answer:

taxes, borrow money, regulate commerce, uniform rule of naturalization, and regulate the value.

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3 years ago

The perimeter of a rectangular pool is 288 m.

jolli1 [7]

Answer: 86

Step-by-step explanation:

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2 years ago

Hadley’s softball team has a phone tree in case a game is canceled. The coach calls 3 players. Then each of those players calls

Setler [38]

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1 2 3 1 2 3 1 2 3
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3 years ago

Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)

o-na [289]

Option C: The solution set is $\{8\}$

Explanation:

The expression is $3 \ln 4=2 \ln x$

Now, let us find the solution set.

Switch sides, we get,

$2 \ln x=3 \ln 4$

Dividing by 2 on both sides, we have,

$\ln x=\frac{3 \ln 4}{2}$

Thus, $\ln 4=\ln 2^2=2\ln 2$

Hence, the above expression becomes,

$\ln x=\frac{3 \cdot 2 \ln (2)}{2}$

Simplifying, we get,

$\ln x=3 \ln 2$

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

$x=8$

Thus, the solution set is $\{8\}$

Hence, Option C is the correct answer.

5 0

3 years ago

Consider the given function and the given interval. f$x$ = (x - 7)**2 text(, ) [5 text(, ) 11] (a) Find the average value fave

Jet001 [13]

a. $f$ has an average value on [5, 11] of

$f_{\rm ave}=\displaystyle\frac1{11-5}\int_5^{11}(x-7)^2\,\mathrm dx=\frac{(x-7)^3}{18}\bigg|_5^{11}=\frac{4^3-(-2)^3}{18}=4$

b. The mean value theorem guarantees the existence of $c\in(5,11)$ such that $f(c)=f_{\rm ave}$ . This happens for

$(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5$

8 0

3 years ago