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2 years ago

7

Solve the system of equations by elimintion express the solution as and order paired

1 answer:

tester [92]2 years ago

3 0

First convert the first equation to combine like terms. Then set your equations up as an addition problem. You want at least one of your variables (y) to be of opposite values so the will cancel out to leave you with just one variable (x). Plug in 1/3 for the x into one of the equations to solve for y. Then write as an ordered pair.

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Use the following information to complete parts I, II, and III. 1 hour=3600 seconds

icang [17]

Answer:

I) There are $8.760\times 10^3$ hours in 1 year.

II) The exact number of hours in one year is $8.76582\times 10^3$ hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I) Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

$n=24\times 365$

$n=8760$

In scientific notation,

$8760=8.760\times 10^3$

So, there are $8.760\times 10^3$ hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

$n=\frac{31556952}{3600}$

$n=8765.82$

In scientific notation,

$8765.82=8.76582\times 10^3$

So, the exact number of hours in one year is $8.76582\times 10^3$ hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

The exact numbers of hours using 365 days is 8760 which is written as $8.760\times 10^3$ in scientific notation but using the given data we get $8.76582\times 10^3$ hours.

Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.

If we round these we get $8.8\times 10^3$ hours which has two significant numbers.

8 0

3 years ago

Umference of a Circle: Mastery Test

sasho [114]

Answer:

•26.376 units

•23.236 units

•34.54 units

•59.66 units

Step-by-step explanation:

The formula for the circumference of a circle is ...

C = 2πr = πd

C = 2(3.14)r = 6.28r or C = 3.14d

where r is the radius and d is the diameter.

Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".

r = 4.2 ⇒ C = 6.28×4.2 = 26.376

d = 7.4 ⇒ C = 3.14×7.4 = 23.236

d = 11 ⇒ C = 3.14×11 = 34.54

r = 9.5 ⇒ C = 6.28×9.5 = 59.66

6 0

3 years ago

Solve for c: <br> 12 - 9 + c = 12

enyata [817]

Step-by-step explanation:

12 - 9 + c = 12

-9 + c = 12 - 12

- 9 + c = 0

Therefore c = 9

Hope this helps.!

6 0

3 years ago

Read 2 more answers

The sodium content of a popular sports drink is listed as 200 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample me

julia-pushkina [17]

Answer:

The sample does not contradicts the manufacturer's claim.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 200 mg

Sample mean, $\bar{x}$ = 211.5 mg

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 18.5 mg

a) First, we design the null and the alternate hypothesis for a two tailed test

$H_{0}: \mu = 200\\H_A: \mu \neq 200$

We use Two-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{211.5 - 200}{\frac{18.5}{\sqrt{20}} } = 2.7799$

c) Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = \pm 2.0930$

Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.

Thus, the sample does not contradicts the manufacturer's claim.

d) P-value = 0.011934

Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.

Yes, both approach the critical value and the p-value approach gave the same results.

4 0

3 years ago

What is an equivalent expression for 65 ÷ 63.

GREYUIT [131]

Answer:

The equivalent expression is 65/63

3 0

3 years ago

Read 2 more answers