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4 years ago

Convert 5.100 × 10-3 to ordinary notation. a.0.0005100 b.0.005100 c.510.0 d.5100

1 answer:

kondor19780726 [428]4 years ago

4 0

5.100 x 10⁻³ = 5.100 x 0.001
= 0.005100 (shift the decimal point for 5 by 3 units left)

Alternatively, because 10⁻³ = 1/1000, therefore
5.100 x 10⁻³ = 5.1/1000

0.0051
---------------
1000 | 5.100
5000
-------------
1000
1000

This yields the same result.

Answer: b. 0.005100

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2.A watermelon weighs about 3 (grams /(kilograms) 3.

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Step-by-step explanation:

1. Therefore, 0.5 g=0.5*1000=500 mg

2. A watermelon weighs about 3 (grams /(kilograms) 3.

3.Weight of the box- 40 kg

Weight of 1 orange-80

Therefore, no. of total oranges=

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Now, 40000÷80

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3 years ago

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Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

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3 years ago

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Answer:

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Step-by-step explanation:

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Alternative Hypothesis : $H_a$ =There is a linear correlation between the chest size and weight

The value of the linear correlation coefficient is r=0.882.

n = 8

Formula : $t=\frac{r\sqrt{n-2}}{\sqrt{1-r^2}}$

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t calculated > t critical

So, we reject the null hypothesis

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