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3 years ago

PLEASE HELP!! WILL MARK BRAINLEST!!

Mathematics

2 answers:

Arturiano [62]3 years ago

8 0

Answer:

2.178 × 10^6

Step-by-step explanation:

Multiply 4840 × 450 to get 2,178,000

Move the decimal 6 places left then multiply by 10 to the 6th power, the number of places the decimal moved, to put it into scientific notation form. Scientific notation always has only one digit to the left of the decimal point.

alex41 [277]3 years ago

4 0

The answer is b 2.178 x 10 to the 6th power.

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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

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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:

$x \approx 2.278863$

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2 years ago

Candice leaves on a trip driving at 35 miles per hour. Three hours later, her sister Liz starts from the same location driving a

Natalka [10]

It would be 7 hours because 35 x 3 is 105, if she is already 105 miles from home then 35 x 7 is 245. 245 + 105 = 350. Candice would be at 350 and Liz would be at 350, so in conclusion the answer is 7 hours. :)

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3 years ago

Read 2 more answers

7. A restaurant owner wants to see if there is a relationship between the amount of

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Answer:

a) Yes, the two variables correlated

b) Yes, variation of sugar changes the number of orders for item containing sugar

Step-by-step explanation:

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b) Yes the variation in amount of sugar leads to variation in the number of orders with sugar.

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