What is the product of 12 and 4.2×10^6

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kiruha [24]

Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f

Step-by-step explanation:

a) Natural Numbers: 1, 2, 3, ...

b) Whole Numbers: 0, 1, 2, 3, ... (add zero to the Natural numbers)

c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

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e) Irrationals: Non-repeating decimals that are non-terminating. This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2 has a terminating decimal so it is a RATIONAL number.

2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) $\sqrt4$ = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5) $\sqrt7$ is a non-terminating decimal so it is an IRRATIONAL number

6 0

3 years ago

4. A discus is thrown from a height of 4 feet with an initial velocity of 65 ft/s at an angle of 44° with the horizontal. How lo

joja [24]

I believe the time would be about 4 seconds

7 0

3 years ago

Read 2 more answers

If AC = 3, BC = 5, and AB = 7, find AD: 2 5/8 4 1/5 4 3/8 11 2/3

Vesna [10]

Answer:

1. $2\frac{5}{8}$

Step-by-step explanation:

We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

We can set up an equation as:

$\frac{AC}{AD}=\frac{BC}{BD}$

Upon substituting our given values we will get,

$\frac{3}{AD}=\frac{5}{(7-AD)}}$

Cross multiplying our equation we will get,

$5AD=3*(7-AD)$

$5AD=21-3AD$

$5AD+3AD=21$

$8AD=21$

$AD=\frac{21}{8}$

$AD=2\frac{5}{8}$

Therefore, the length of AD is $2\frac{5}{8}$ units and 1st option is the correct choice.

6 0

3 years ago

Find the standard deviation of the following data. Round your answer to one decimal place. x 0 1 2 3 4 5 P(X

lbvjy [14]

Answer:

$\sigma = 1.8$

Step-by-step explanation:

Given

$\begin{array}{ccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} \ \\ P(x) & {0.2} & {0.1} & {0.1} & {0.2} & {0.2}& {0.2} \ \end{array}$

Required

The standard deviation

First, calculate the expected value E(x)

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 0 * 0.2 + 1 * 0.1 + 2 * 0.1 + 3 * 0.2 + 4 * 0.2 + 5 * 0.2$

$E(x) = 2.7$

Next, calculate E(x^2)

$E(x^2) = \sum x^2 * P(x)$

So, we have:

$E(x^2) = 0^2 * 0.2 + 1^2 * 0.1 + 2^2 * 0.1 + 3^2 * 0.2 + 4^2 * 0.2 + 5^2 * 0.2$

$E(x^2) = 10.5$

The standard deviation is:

$\sigma = \sqrt{E(x^2) - (E(x))^2}$

$\sigma = \sqrt{10.5 - 2.7^2}$

$\sigma = \sqrt{10.5 - 7.29}$

$\sigma = \sqrt{3.21}$

$\sigma = 1.8$ --- approximated

5 0

3 years ago

Janet's home went to Citizens Bank she borrowed 7000 at a rate of 8% the date of the alone was September 20th Janet Hope to repa

almond37 [142]

Interest depends a lot on the compounding period.
Since the period is exactly 4 months, we assume
APR=8%
monthly interest=8/12%=0.00666667
Interest due in 4 months
=7000[(1+0.08/12)^4-1]
=7000[0.0269345]
=$188.54

6 0

3 years ago