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4 years ago

simplify the mathematical expressions and arrange them in order of their values from least to greatest

Mathematics

1 answer:

Helen [10]4 years ago

4 0

Answer:

See the first attachment. The numbers indicate the order 1=least, 5=greatest.

Step-by-step explanation:

This is a calculator exercise. Put the numbers in your calculator and have it tell you the result. Don't forget that (ab)/(cd) = ab/c/d if you don't use parentheses.

See the 2nd and 3rd attachments for the values of the expressions.

___

You can estimate values as follows (top to bottom):

1. 4·9·10^(8-5) ≈ 36·10^3

2. 7·8·10^(5-2) ≈ 56·10^3

3. (7·9)/(8·4)·10^(5-7+2+3) ≈ 2·10^3

4. (8·10)/(8·6)·10^(4+1-11+8) ≈ 1.7·10^2

5. (2·6)/(3·5)·10^(4+3+2-2) ≈ 0.8·10^7

These are crude estimates, but sufficiently close to put the numbers in order as required.

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If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?

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-10 + 30

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3 years ago

Solve for c c/3=30/5=

yaroslaw [1]

Answer:

= 18

Step-by-step explanation:

$\frac{c}{3}$ = $\frac{30}{5}$

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5 * c = 30 * 3

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4 years ago

Read 2 more answers

Tony and Jasmine have a total of 140 pictures. Jasmine and Wenjun have a total of 260 pictures. Given that Wenjun has five times

kupik [55]

Answer:

Step-by-step explanation:

T+J = 140

J+W = 260

W= 5T

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T+J+120 = 5T+J

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6 0

3 years ago

How to solve this trig

n200080 [17]

Hi there!

To find the Trigonometric Equation, we have to isolate sin, cos, tan, etc. We are also given the interval [0,2π).

First Question

What we have to do is to isolate cos first.

$\displaystyle \large{ cos \theta = - \frac{1}{2} }$

Then find the reference angle. As we know cos(π/3) equals 1/2. Therefore π/3 is our reference angle.

Since we know that cos is negative in Q2 and Q3. We will be using π + (ref. angle) for Q3. and π - (ref. angle) for Q2.

Find Q2

$\displaystyle \large{ \pi - \frac{ \pi}{3} = \frac{3 \pi}{3} - \frac{ \pi}{3} } \\ \displaystyle \large \boxed{ \frac{2 \pi}{3} }$

Find Q3

$\displaystyle \large{ \pi + \frac{ \pi}{3} = \frac{3 \pi}{3} + \frac{ \pi}{3} } \\ \displaystyle \large \boxed{ \frac{4 \pi}{3} }$

Both values are apart of the interval. Hence,

$\displaystyle \large \boxed{ \theta = \frac{2 \pi}{3} , \frac{4 \pi}{3} }$

Second Question

Isolate sin(4 theta).

$\displaystyle \large{sin 4 \theta = - \frac{1}{ \sqrt{2} } }$

Rationalize the denominator.

$\displaystyle \large{sin4 \theta = - \frac{ \sqrt{2} }{2} }$

The problem here is 4 beside theta. What we are going to do is to expand the interval.

$\displaystyle \large{0 \leqslant \theta < 2 \pi}$

Multiply whole by 4.

$\displaystyle \large{0 \times 4 \leqslant \theta \times 4 < 2 \pi \times 4} \\ \displaystyle \large \boxed{0 \leqslant 4 \theta < 8 \pi}$

Then find the reference angle.

We know that sin(π/4) = √2/2. Hence π/4 is our reference angle.

sin is negative in Q3 and Q4. We use π + (ref. angle) for Q3 and 2π - (ref. angle for Q4.)

Find Q3

$\displaystyle \large{ \pi + \frac{ \pi}{4} = \frac{ 4 \pi}{4} + \frac{ \pi}{4} } \\ \displaystyle \large \boxed{ \frac{5 \pi}{4} }$

Find Q4

$\displaystyle \large{2 \pi - \frac{ \pi}{4} = \frac{8 \pi}{4} - \frac{ \pi}{4} } \\ \displaystyle \large \boxed{ \frac{7 \pi}{4} }$

Both values are in [0,2π). However, we exceed our interval to < 8π.

We will be using these following:-

$\displaystyle \large{ \theta + 2 \pi k = \theta \: \: \: \: \: \sf{(k \: \: is \: \: integer)}}$

Hence:-

For Q3

$\displaystyle \large{ \frac{5 \pi}{4} + 2 \pi = \frac{13 \pi}{4} } \\ \displaystyle \large{ \frac{5 \pi}{4} + 4\pi = \frac{21 \pi}{4} } \\ \displaystyle \large{ \frac{5 \pi}{4} + 6\pi = \frac{29 \pi}{4} }$

We cannot use any further k-values (or k cannot be 4 or higher) because it'd be +8π and not in the interval.

For Q4

$\displaystyle \large{ \frac{ 7 \pi}{4} + 2 \pi = \frac{15 \pi}{4} } \\ \displaystyle \large{ \frac{ 7 \pi}{4} + 4 \pi = \frac{23\pi}{4} } \\ \displaystyle \large{ \frac{ 7 \pi}{4} + 6 \pi = \frac{31 \pi}{4} }$

Therefore:-

$\displaystyle \large{4 \theta = \frac{5 \pi}{4} , \frac{7 \pi}{4} , \frac{13\pi}{4} , \frac{21\pi}{4} , \frac{29\pi}{4}, \frac{15 \pi}{4} , \frac{23\pi}{4} , \frac{31\pi}{4} }$

Then we divide all these values by 4.

$\displaystyle \large \boxed{\theta = \frac{5 \pi}{16} , \frac{7 \pi}{16} , \frac{13\pi}{16} , \frac{21\pi}{16} , \frac{29\pi}{16}, \frac{15 \pi}{16} , \frac{23\pi}{16} , \frac{31\pi}{16} }$

Let me know if you have any questions!

3 0

3 years ago

A line that includes the point (3, 2) has a slope of 0. What is its equation in slope-intercept

Yanka [14]

Answer:

y=0x+2

Step-by-step explanation:

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3 years ago

simplify the mathematical expressions and arrange them in order of their values from least to greatest​

simplify the mathematical expressions and arrange them in order of their values from least to greatest