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olga2289 [7]
3 years ago
8

2. Simplify the following expression 1 (16 (16-12)​

Mathematics
2 answers:
meriva3 years ago
5 0

Answer:

The answer is 64.

Step-by-step explanation:

16-12=4.

4×16×1=64.

nikklg [1K]3 years ago
4 0

Answer:

The answer is 64.

16-12=4.

4×16×1=64.

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Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin
MAXImum [283]

Answer:

x \approx 2.278863

Step-by-step explanation:

Required

The positive root of 3\sin(x) = x

Equate to 0

0 = x -3\sin(x)

So, we have our function to be:

h(x) = x -3\sin(x)

Differentiate the above function:

h'(x) = 1 -3\cos(x)

Using Newton's method of approximation, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

Plot the graph of h(x) = x -3\sin(x) to get x_1 --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

x_1 = 2.2

So, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}

x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641

The process will be repeated until the digit in the 6th decimal place remains unchanged

x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654

x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627

x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627

Hence:

x \approx 2.278863

4 0
2 years ago
Blake and Josh are both saving money for a new bike. The ratio of Blake's savings to Josh's savings is 3:1. If they have saved $
kompoz [17]

Given:

Total savings = $400

Ratio of savings of Blake and Josh = 3:1

To find:

The saving of each.

Solution:

Let the savings of Blake and Josh are 3x and x respectively.

According to the question,

3x+x=400

4x=400

Divide both sides by 4.

x=100

Now,

Savings of Blake = 3(100)=300

Savings of Josh =100

Therefore, the savings of Blake and Josh are $300 and $100 respectively.

4 0
3 years ago
Can someone answer these pls
Vitek1552 [10]

the rate of growth will be 1.16

4 0
3 years ago
Read 2 more answers
Help me and please explain
k0ka [10]

Answer:

4 attendees

Step-by-step explanation:

we can create and equation (x is the amount of attendees) $8 per attendee at a total of $32 is 8x=32 which you divide on both sides getting x=4 or 4 attendees

4 0
3 years ago
3. FACTOR f(x) = x3 + 2x2 – 51x + 108 completely given x + 9 is a factor.
Pavlova-9 [17]

Answer:(x+9)(x-4)(x-3)

6 0
2 years ago
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