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Which expressions are equivalent to 6 +(-x) + 2x + (-7)+ 2x? Check all that apply.
x + x + 6 - 7 + x
2x+2+x
3- X + 2x - 4 + 2x
X-1
X+1

Answers

Answer 1

Answer:

Answer:

a and c

Step-by-step explanation:

Answer 2

Answer:

Answer:

A- x + x + 6 – 7 + x

C- 3 – x + 2x – 4 + 2x

Step-by-step explanation:

EDG2021

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Work out

1/3 + 2/9

Give your answer in its simplest form

Answers

Step-by-step explanation:

1/3 + 2/9 = 3/9 + 2/9 = 5/9

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

5/9

Step-by-step explanation:

What the answer to this math problom

Answers

Step-by-step explanation:

S=b*h/2=8*10/2=40m2

40*4=160m²

Answer:

60 m2

Step-by-step

i did that before hope this helps :)

College Algebra Half Life ProblemRecently, while digging in Chaco Canyon, New Mexico, archaeologists found corn pollen that was 4000 years old. This was evidence that Native Americans had been cultivating crops in the Southwest centuries earlier than scientists had thought.

What percent of the carbon-14 had been lost from the pollen?

(half-life of carbon-14 = 5730)

Answers

I think the correct answer is 56%

What integer represents 5°F below zero

Answers

Answer:

-5 degrees farenheit

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. Click on the datafile logo to reference the data.
6 4 6 8 7 7 6 3 3 8 10 4 8
7 8 7 5 9 5 8 4 3 8 5 5 4
4 4 8 4 5 6 2 5 9 9 8 4 8
9 9 5 9 7 8 3 10 8 9 6
Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places. Do not round intermediate calculations.

Answers

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

$CI=\bar x\pm t_(\alpha/2, (n-1))\cdot\ (s)/(√(n))$

The sample selected is of size, n = 50.

The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:

$t_(\alpha/2, (n-1))=t_(0.05/2, 49)=2.000$

*Use a t-table.

Compute the sample mean and sample standard deviation as follows:

$\bar x=(1)/(n)\sum {x}=(1)/(50)* [6+4+6+...+9+6]=6.34\n\ns=\sqrt{(1)/(n-1)\sum (x-\bar x)^(2)}=\sqrt{(1)/(50-1)* 229.22}=2.163$

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

$CI=\bar x\pm t_(\alpha/2, (n-1))\cdot\ (s)/(√(n))$

$=6.34\pm 2.00*(2.163)/(√(50))\n\n=6.34\pm 0.612\n\n=(5.728, 6.952)\n\n\approx(5.7, 7.0)$

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

The expression cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5 can be rewritten as which of the following? cosine of 7 times pi over 10
cosine of 3 times pi over 10
sine of 7 times pi over 10
sine of 3 times pi over 10

(The clear version of the question is in the picture below)

Answers

Answer:

(b) cos(3π/10)

Step-by-step explanation:

The given expression matches the trig identity form for the cosine of the difference of two angles:

cos(α-β) = cos(α)cos(β) +sin(α)sin(β)

To match the given expression exactly, we can choose ...

α = π/2

β = π/5

Then the difference is ...

α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10

The given expression can be shortened to ...

cos(3π/10)

Additional comment

Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.

Final answer:

The expression 'cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5'' can be rewritten as 'cosine of 3 times pi over 10' by using the cosine addition formula.

Explanation:

The question is related to the usage of trigonometric identities and laws, specifically the cosine addition formula. This formula is defined as: cos(a + b) = cos a cos b - sin a sin b. Looking at your original expression, we can identify a and b based on this definition, to make it align with the cosine addition formula structure. Let's pick a = pi/2 and b = pi/5.

Therefore, your original equation can be transformed as follows:

cos(pi/2)cos(pi/5) + sin(pi/2)sin(pi/5) = cos((pi/2) - (pi/5)) = cos(3pi/10).

So, the expression 'cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5' can be rewritten as 'cosine of 3 times pi over 10.' We have used the cosine addition formula to simplify the original expression.