What is the quotient written in scientific notation? 2x10^21 -------- 8x10^3 A)2.5x10^17 B)2.5x10^6 C)0.25x10^18 D)0.25x10^7

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Answer 1

Answer: Have a good day :).......

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Using complete sentences, explain the key features of the graph of the sine function.

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The trigonometric functions have features that are worthy of note. Among these features are the period and amplitude. The graph of f(x)=sin x repeats itself along the x-axis by a certain distance. This distance is called the period. For the sine function, the period is 2pi radians. It can also be observed that the graph goes up and then down by a certain distance. This distance is called the amplitude. For the curve of f(x)=sin x, the amplitude is 1.

Rewrite each expression by completing the square.
a. z^2 − 5z + 8
b. x^2 + 0.6x + 1

Answers

Answer:

The answer to your question is below

Step-by-step explanation:

z² - 5z + 8

Equal to zero z² - 5z + 8 = 0

Subtract 8 in both sides z² - 5z + 8 - 8 = 0 - 8

Simplify z² - 5z = -8

Divide -5 by 2 write the result

in both sides of the equation z² - 5z + (-5/2)² = -8 + (-5/2)²

to the power of 2

Simplify z² - 5z + 25/4 = -8 + 25/4

z² - 5z + 25/4 = -32/4 + 25/4

z² - 5z + 25/4 = -7/4

Factor (z - 5/2)² = -7/4

x² - 0.6x + 1

Convert 0.6 to a fraction 0.6 = 6/10 = 3/5

x² - 3/5x + 1

Equal to zero x² - 3/5x + 1 = 0

Subtract -1 in both sides z² - 3/5z + 1 - 1 = 0 - 1

Simplify z² - 3/5z = - 1

Divide -3/5 by 2 write the result

in both sides of the equation z² - 3/5z + (-3/10)² = -1 + (-3/10)²

to the power of 2

Simplify z² - 3/5z + 9/100 = -1 + 9/100

z² - 3/5z + 9/100 = -100/100 + 9/100

z² - 3/5z + 9/100 = -91/100

Factor (z - 3/10)² = -91/100

1. Find the products. Show your thinking. An example of how to show your thinking is provided.a. 1,400 × 20
b. 8,000 × 50
c. 120 × 300

2. Fill in the missing factors to find the given estimated product. The first one is done for you.

a. 582 x 23 ≈ __600________ x ___20_______ = 12,000

b. 325 x 454 ≈ __________ x __________ = 150,000

c. 6,397 x 349 ≈ __________ x __________ = 1,800,000

3. Round the factors and estimate the products. Round to the highest place value.

a. 656 × 106 ≈ __________ x __________ = __________

b. 3,108 × 7,942 ≈ __________ x __________ = __________

c. 425 × 9,311 ≈ __________ x __________ = __________

Answers

So number 1 is B number 2 is A number 3 is B

Miguel made 6 identical necklaces each, having beads and a pendant. The total cost of the beads and the pendant for all 6 necklaces was $29.40. If the beads cost a total of $19.80, how much did each pendant cost?

Answers

Answer:

29.40-19.80=9.6

9.6/6=1.6

So the answer is $1.60

Step-by-step explanation:

Jessica rented a truck to move into another apartment. The rental charge is $140 per day plus $0.35 per mile. Write an equation to determine x, the number of miles she can drive the truck if the cost is y.