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3 years ago

Find the quotient 3÷34

Mathematics

1 answer:

Arturiano [62]3 years ago

6 0

I think the answer is 0.08823529

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Ln (3x+1)-ln (5+x) = ln 2

RideAnS [48]

First you would simplify the left side to get,

ln( ( 3x+1 ) / ( 5+x ) ) = ln 2

Then raise both sides as the power of e, so it would basically cancel out the ln's.

3x+1 / 5+x = 2

3x+1 = 2( 5+x )

3x+1 = 10+2x

x = 9

3 0

3 years ago

HELP! WILL GIVE BRAINLIEST!!! I think it's D please check

kow [346]

Answer:

(x + 5) (x^2 -3)

Step-by-step explanation:

$x^{3} +5x^{2} - 3x - 15$

Do the grouping:

$x^{3} +5x^{2} - 3x - 15 = (x^{3} +5x^{2}) + (-3x - 15)$

Then factor out $x^{2}$ in the first and −3 in the second group.

$x^{2}(x+5) - 3(x+5)$

Factor out the common term x + 5 by using the distributive property.

Polynomial $x^{2}-3$ is not factored in since it does not have any rational roots, thus getting the following:

$(x+5)(x^{2} -3)$

8 0

3 years ago

Read 2 more answers

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when $M = 0.3, \sigma = 4.103$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.3 = 1.96*\frac{4.103}{\sqrt{n}}$

$0.3\sqrt{n} = 1.96*4.103$

$\sqrt{n} = \frac{1.96*4.103}{0.3}$

$(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}$

$n = 718.57$

Rouding up

We need a sample size of at least 719

6 0

3 years ago

Suzy randomly picks marbles form a bag containing 13 identical marbles. how many possible outcomes are there of she selects 10 m

allsm [11]

Answer:

286 possible outcomes.

Step-by-step explanation:

We have been given total 13 identical marbles

We need to select 10 out of 13

We will use combination:

$^nC_r=\frac{n!}{r!(n-r)!}$

here,n=13 and r=10 on substituting the values in the formula we get:

$^13C_{10}=\frac{13!}{10!(13-10)!}$

$^13C_{10}=\frac{13\cdot 12\cdot 11\cdot10!}{10!\cdot 3!}$

$\Rightarrow ^13C_{10}=\frac{13\cdot12\cdot11}{3\cdot2\cdot1}$

$\Rightarrow 286$

So, there are 286 possible outcomes.

5 0

3 years ago

Read 2 more answers

The screen size of a television is determined by the length of the diagonal of the rectangular screen. traditional elevisions co

julsineya [31]

Answer:

Part 1) The area of a 17 in traditional tv screen is $A=138.7\ in^2$

Part 2) The area of a 17 in LCD TV screen is $A=123.5\ in^2$

Part 3) The screen of the 17 in traditional TV is bigger, because its area is greater than the area of the LCD TV

Step-by-step explanation:

Let

x ----> the length of the rectangular screen

y ----> the width of the rectangular screen

Part 1) What is the area of a 17 in traditional tv screen?

we have

$\frac{x}{y}=\frac{4}{3}$

$x=\frac{4}{3}y$ ----> equation A

Applying the Pythagorean Theorem

$x^{2} +y^{2} =17^{2}$ ----> equation B

substitute equation A in equation B

$(\frac{4}{3}y)^{2} +y^{2} =17^{2}$

solve for y

$\frac{16}{9}y^{2} +y^{2} =289$

$\frac{25}{9}y^{2}=289$

take square root both sides

$\frac{5}{3}y=17$

$y=17(3)/5\\y=10.2\ in$

Find the value of x

$x=\frac{4}{3}(10.2)$

$x=13.6\ in$

Find the area of the rectangular screen

The area is equal to

$A=xy$

substitute

$A=(13.6)(10.2)=138.72\ in^2$

$A=138.7\ in^2$

Part 2) What is the area of a 17 in LCD TV whose screen is in 16:9 format?

we have

$\frac{x}{y}=\frac{16}{9}$

$x=\frac{16}{9}y$ ----> equation A

Applying the Pythagorean Theorem

$x^{2} +y^{2} =17^{2}$ ----> equation B

substitute equation A in equation B

$(\frac{16}{9}y)^{2} +y^{2} =17^{2}$

solve for y

$\frac{256}{81}y^{2} +y^{2} =289$

$\frac{337}{81}y^{2}=289$

take square root both sides

$\frac{\sqrt{337}}{9}y=17$

$y=17(9)/\sqrt{337}$

$y=\frac{153}{\sqrt{337}}\ in$

Find the value of x

$x=\frac{16}{9}(\frac{153}{\sqrt{337}})$

$x=\frac{2,448}{9\sqrt{337}}\ in$

Find the area of the rectangular screen

The area is equal to

$A=(\frac{2,448}{9\sqrt{337}})(\frac{153}{\sqrt{337}})$

$A=123.49\ in^2$

$A=123.5\ in^2$

Part 3) which screen is bigger?

Compare the areas

$138.7\ in^2 > 123.5\ in^2$

therefore

The screen of the 17 in traditional TV is bigger, because its area is greater than the area of the LCD TV

4 0

4 years ago