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tiny-mole [99]
4 years ago
14

So my problem says 'Nisha wants to study 5 hours for the spelling bee. If she studies 1/3 hour per night, how many nights will s

he have to study' so i said 5 nights but i dont know if its right or not so i was wondering if you could tell me if i was correct thanks
Mathematics
1 answer:
photoshop1234 [79]4 years ago
3 0
Forgive me if I am wrong but it should be 15 hours. If she only studies 1/3 an hour a night it would take 3 1/3 nights so you'd just multiply 3 by 5. If that makes any sense. Sorry not to good at explaining things ;(
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Which of the following are identities? Check all that apply
Natasha2012 [34]

Answer:

A, C

Step-by-step explanation:

Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.

Examining

A) True

\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}

Double angle tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}

B) False,

No further development towards a Trig Identity

C) True

Double Angle Sine Formula sin2\alpha =2sin\alpha *cos\alpha

sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)

D) False No further development towards a Trig Identity

[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)

7 0
4 years ago
Read 2 more answers
Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20
vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of y=f(x) is a vertical has an asymptote at x=a if at least one of the following statements is true:

1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty

The function is:

f(x)=\frac{x^2+7x+10}{x^2+9x+20}

First of all, let't factor out:

f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq  5

From here:

\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty

\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty

Accordingly:

x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0
4 years ago
A plumber has a 2.5 metre long copper pipe
Anastaziya [24]

We have an object measured in <u>Meters</u>, and we want to cut sections of it off in <u>Centimeters</u>, a different unit of measurement.

Because we're subtracting sections of the pipe, we want to make the units the same, this will make our calculations easier.

1 Meter = 100 Centimeters, so, <u>2.5 Meters = 250 Centimeters</u>

We're cutting ( 60 Cm + 35 Cm + 90 Cm ) off, which totals <u>185 Cm</u>.

250 Cm Pipe - 185 Cm Cuts = 65 Cm Pipe Left

8 0
3 years ago
What is 6/3 as a mixed number?
Reptile [31]
The mixed number of 6/3 is 2








Explanation








Nothing it’s just what it is
3 0
3 years ago
Sam has a strip of wood that is 3 4 foot long and 1 6 foot wide. He wants to use the wood to patch a damaged area on his desk. H
MArishka [77]

Answer:

1 / 8

Step-by-step explanation:

I'm assuming that is meant to be 3/4 and 1/6...

Area = Length * Width

A = 3/4 * 1/6

A = 3 / 24

simplify the fraction to get your answer

6 0
3 years ago
Read 2 more answers
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