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3 years ago

If h(x)=5x-3 find h(-4)

Mathematics

2 answers:

Iteru [2.4K]3 years ago

5 0

5(-4)-3
-20-3
-23
x=-23

Papessa [141]3 years ago

4 0

In order to gind h (-4), you simply substitute -4 in place of any x in the function.
h(-4) = 5 (-4) - 3
= -20 - 3
= -23

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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°

8 0

3 years ago

16. Vocabulary A number written in

r-ruslan [8.4K]

30,000 + 9,000 + 5 which would equal = 39,005

7 0

3 years ago

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Estimate by rounding to the nearest hundred. Show your work. 12,846 - 3467

Rufina [12.5K]

Answer:

9,400

Step-by-step explanation:

12,846 - 3,467 = 9,379

The hundreds digit is 3.

So, you look to the left of the digit and if it is 5 for more you add a number to the 3 and make the rest of the digits 0s. But if it below 5, then you leave the 3 alone and make the rest of the digit going to the right 0s.

Then, your answer is (9,400)

Hope this helps ; )

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3 years ago

100 points.

7nadin3 [17]

Answer:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

Step-by-step explanation:

hope this helps if does mark brainllest

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2 years ago

Reduce 27/42 to the lowest term

wel

So you need to find a number that goes into both of these numbers:
3 goes into both, so divide both by 3
27/3 = 9
42/3 = 14
so your answer is 9/14

5 0

3 years ago

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