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4 years ago

What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?

Mathematics

1 answer:

victus00 [196]4 years ago

6 0

Answer: 676

Step-by-step explanation: 6.0 x 10^2=600 600+76=676

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write in scientific notation 1. 0.0000364 2. 0.00751 3. 0.10005 4. 1,094 5. 0.00000099 6. 0.04101 7. 10,500 8. 8,9000

solmaris [256]

$1.\\0\underbrace{.00003}_{5\to}54=3.54\times10^{-5}\\2.\\0\underbrace{.007}_{3\to}51=7.51\times10^{-3}\\3.\\0\underbrace{.1}_{1\to}0005=1.0005\times10^{-1}\\4.\\1\underbrace{,094}_{\leftarrow3}=1.094\times10^3\\5.\\0\underbrace{.0000009}_{7\to}9=9.9\times10^{-7}$
$6.\\0\underbrace{.04}_{2\to}101=4.101\times10^{-2}\\7.\\1\underbrace{0,500}_{\leftarrow4}=1.05\times10^4\\8.\\8\underbrace{9000}_{\leftarrow4}=8.9\times10^4$

3 0

3 years ago

11)

Maurinko [17]

Answer:

The factorization of given expression $x^2 + 81$ is (x + 9i)(x – 9i) and option d is correct.

Solution:

Given, expression is $x^2 + 81$

We have to factor it in the complex numbers.

Let us check options to find answer.

A) (x – 9)(x – 9)

(x – 9)( x – 9) $=(x-9)^{2}=x^{2}-18 x+81$

So, this is not correct answer.

B) (x + 9)(x + 9)

$(x+9)(x+9)=(x+9)^{2}=x^{2}+18 x+81$

So, this is not correct answer.

C) (x + 9i)(x + 9i)

$(x+9 i)(x+9 i)=(x+9 i)^{2}=x^{2}+18 x i+81(-1)=x^{2}+18 x i-81$

So, this is not correct answer.

D) (x + 9i)(x - 9i)

$(x+9 i)(x-9 i)=x^{2}-(9 i)^{2}=x^{2}-(-81)=x^{2}+81$

Thus option D is correct

Hence, the factorization of given expression is (x + 9i)(x – 9i). and option d is correct.

3 0

3 years ago

Suppose a normal distribution has a mean of 62 and a standard deviation of 4. What is the probability that a data value is betwe

Anon25 [30]

Answer:Given a normal distribution with μ = 62 and σ = 4., calculate the 68-95-99.7 rule, or three-sigma rule, or empirical rule ranges

Calculate Range 1:

Range 1, or the 68% range, states that 68% of the normal distribution values lie within 1 standard deviation of the mean

68% of values are within μ ± σ

μ ± σ = 62 ± 4.

62 - 4. <= 68% of values <= 62 + 4.

58 <= 68% of values <= 66

Calculate Range 2:

Range 2, or the 95% range, states that 95% of the normal distribution values lie within 2 standard deviations of the mean

95% of values are within μ ± 2σ

μ ± 2σ = 62 ± 2(4.)

62 - 2 x 4. <= 95% of values <= 62 + 2 x 4.

62 - 8 <= 95% of values <= 62 + 8

54 <= 95% of values <= 70

Calculate Range 3:

Range 3, or the 99.7% range, states that 99.7% (virtually ALL) of the normal distribution values lie within 3 standard deviations of the mean

99.7% of values are within μ ± 3σ

μ ± 3σ = 62 ± 3(4.)

62 - 3 x 4. <= 99.7% of values <= 62 + 3 x 4.

62 - 12 <= 99.7% of values <= 62 + 12

50 <= 99.7% of values <= 74

Step-by-step explanation:

4 0

3 years ago

Massa says that 540 ÷ 6 = 9. Is he right? Explain how you know using an equation.

Masteriza [31]

Both sides of the equation are not equal, therefore, Massa was wrong.

<h3>How to Evaluate an Equation?</h3>

For an equation to be correct, the values on both sides of the equation must be equal and balance.

Given the expression, 540 ÷ 6 = 9, 540 divided by 6 is 90. 90 is not equal to 9.

Thus, the value on the both sides are not balanced, therefore, Massa is incorrect.

Learn more about equations on:

brainly.com/question/25678139

#SPJ1

7 0

2 years ago

Write the following rational numbers in the standard form. i) −25 - -45

Fiesta28 [93]

Answer:

45-25 or 20 is the answer

7 0

3 years ago