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3 years ago

Sarah evaluated the expression [(6x4)

Mathematics

1 answer:

USPshnik [31]3 years ago

7 0

IS IT THE EXACT EXPRESSION OR IS ANYTHING MISSING

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What is y= -5/3 x - 1 graphed

Sphinxa [80]

Answer: $y= -5/3 x - 1$ is graphed like this

Step-by-step explanation:

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3 years ago

A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t

Marat540 [252]

Answer-

After 76 swings the angle through which it swings less than 1°

Solution-

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = $(30\times \frac{95}{100})^{\circ}$

Then the angle of third swing = $(30\times (\frac{95}{100})^2)^{\circ}$

So, this follows a Geometric Progression.

$(30,\ 30\cdot \frac{95}{100},\ 30\cdot (\frac{95}{100})^2............,0)$

a = The initial term = 30

r = Common ratio = $\frac{95}{100}$

As we have to find the number swings when the angle swept by the pendulum is less than 1°.

So we have the nth number is the series as 1, applying the formula

$T_n=ar^{n-1}$

Putting the values,

$\Rightarrow 1=30(\frac{95}{100})^{n-1}$

$\Rightarrow \frac{1}{30} =(\frac{95}{100})^{n-1}$

Taking logarithm of both sides,

$\Rightarrow \log \frac{1}{30} =\log (\frac{95}{100})^{n-1}$

$\Rightarrow \log \frac{1}{30} =(n-1)\log (\frac{95}{100})$

$\Rightarrow -1.5=(n-1)(-0.02)$

$\Rightarrow 1.5=(n-1)(0.02)$

$\Rightarrow n-1=\dfrac{1.5}{0.02}$

$\Rightarrow n-1=75$

$\Rightarrow n=76$

Therefore, after 76 swings the angle through which it swings less than 1°

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3 years ago

How to solve and simplify to the smallest fraction

Ostrovityanka [42]

Answer:

7/12

Step-by-step explanation:

When you multiply fractions you just multiply across. 7*6 = 42 and 8*9 = 72. The both of these numbers can be divided by six so 42/6 = 7 as the numerator. 72/6 = 12 for the denominator. 7/12 is the answer.

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2 years ago

Find the range for the domain {-3, 1,4.5} f(x) = 2x

exis [7]

Answer:

Step-by-step explanation:

f(x) = 2x2

Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}

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2 years ago

How many telephone numbers are there in the 509 area code? Telephone numbers may not start with the number 0 or 1. They also mus

anastassius [24]

There are 1798 telephone numbers in the area if I am not wrong and PLEASE mark me Brainliest

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3 years ago