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3 years ago

If a number is a multiple of 64, then it is a multiple of 8.

Mathematics

2 answers:

liq [111]3 years ago

3 0

Yes, that is correct but what is your question???

IgorC [24]3 years ago

3 0

a. If a number is a multiple of 64, then it is a multiple of 2.

b. The number is a multiple of 2.

c. The number is a multiple of 8.

d. If a number is not a multiple of 2, then the number is not a multiple of 64.

these are the answer to the question, you just got to know which one is correct?!

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5 and 13 GCF=? LCM=?

Gwar [14]

Answer:

G.C.F of 5 and 13 is 1.

L.C.M of 5 and 13 is 65.

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2 years ago

The quotient of three times a number and 8 is no more than 13

RideAnS [48]

Answer:

3n/8 ≤ 13

Step-by-step explanation:

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3 years ago

What is the binary number for 3

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3 years ago

Read 2 more answers

The 42 students who play wind instruments represent 75% of the students who are in band. How many students are in band?

LUCKY_DIMON [66]

Answer:

56 students are in band

Step-by-step explanation:

Since 75% is basically 3/4, you should find first how much people are in 1/4 or 25%.

You can do this by dividing 42 and 3

42 divided by 3 = 14

You can check your answer because there are 42 students who play wind instruments and 14 + 14 + 14 = 42

Then you add another 14 to 42 since the students who play wind instruments are only 75%

42 + 14 = 56

56 students are in band

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csf%20%20%5Clarge%20%5C%3A%20find%20%5C%3A%20%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%20%5C%3A

solong [7]

Given :

$\: \: \:$

$\rm \large \: x = a ( \Theta + Sin \Theta )$

$\: \: \:$

$\rm \large y = a ( 1 - cos \: \Theta )$

$\: \:$

Now , x = a ( θ + sin θ )

 $\: \:$ 

$\: \: \:$

$\rm \large\frac{dx}{dθ } = a \: \frac{d}{dθ} (θ + \sin\theta )$

$\: \:$

$\boxed{ \rm \large\underline{ \frac{dx}{d \theta} = a(1 + \cos \theta ) }}$

$\: \:$

Now y = a ( 1-cosθ)

$\: \:$

Diff w.r.t " θ " we get .

$\: \:$

$\rm \large \frac{dy}{d \theta} = a \frac{d}{d \theta} (1 - cos \theta)$

$\: \: \:$

$\boxed{ \rm \large \underline{ \frac{dy}{d \theta} = a \sin \theta}}$

$\: \: \:$

From eqn ( 1 ) & ( 2 )

$\: \:$

$\rm \large \frac{dy}{dx} = \frac{ \frac{dy}{d \theta} }{\frac{dx}{d \theta}}$

$\: \: \:$

$\: \: \: \rm \large = \frac{ \cancel{a} \: sin \theta}{ \cancel a \: (1 + cos \theta)}$

$\: \:$

$\rm \large \: = \frac{sin \theta}{1 + \cos \theta }$

$\: \: \:$

$\rm \large \: \frac{2 \sin( \frac{\theta }{2} ) cos\frac{\theta }{2} }{2 \: cos ^{2} \frac{\theta }{2}} \: \: ......(sin \: a \: = 2 \: sin \frac{a}{2} \: cos \frac{a}{2} 1 + \: cos \: a \: = 2cos ^{2} \frac{a}{2} )$

$\: \:$

$\rm \large \: \frac{dy}{dx} = \frac{sin \frac{ \theta}{2} }{cos \frac{ \theta}{2} }$

$\: \:$

$\rm \large \: \frac{dy}{dx} = tan \frac{ \theta}{2}$

$\: \:$

$\rm \large \: ( \frac{dy}{dx} ) = tan \frac{ \frac{ \theta}{2} }{2}$

$\: \:$

$\rm \large \: = tan( \frac{ \theta}{4} )$

$\: \:$

$\boxed{ \rm \large \underline{ ( \frac{dy}{dx} ) = \frac{\pi}{2} = 1}}$

$\: \:$

Hope Helps!:)

4 0

2 years ago