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1 year ago

13

What is lim x->-1 sin(pie/6))this is a timed

1 answer:

dlinn [17]1 year ago

8 0

sin(π/6) is independent of x, so

$\displaystyle \lim_{x\to-1} \sin\left(\frac\pi6\right) = \sin\left(\frac\pi6\right) = \boxed{\frac12}$

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your teacher is giving you a test worth 100 points that contains 40 questions. there are 2point questions on the test. how many

kykrilka [37]

100 = 2t + 4f
40= t + f
-----------
get t or f by itself first.

f = 40 - t : Then substitute it back into for f in the other equation
100 = 2t + 4f
100= 2t +4(40-t)
100= 2t + 160 - 4t
100 = -2t + 160
-160 -160

<u>-60 </u>= <u>-2t
</u>-2 -2

t = 30 (Then plug this into either equation to solve for f)

Therefore,
t = 30 questions
f = 10 questions

3 0

3 years ago

92x12 rounder both factors

Elena-2011 [213]

Answer:

90 and 10

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

A cell phone retailer used a mark-up rate of 60% on a cellphone case that originally cost $5. To find the new price of the case

sweet-ann [11.9K]

Answer:

$8

Step-by-step explanation:

5 increase 60% =

5 × (1 + 60%) = 5 × (1 + 0.6) = 8

7 0

2 years ago

The black graph is the graph of

Shtirlitz [24]

Answer:

do you have a picture of the Graph?????

3 0

2 years ago