Verify the identity. tan x plus pi divided by two = -cot x

The produce market is having a sale on grapes and oranges. A customer found the following two receipts in her cart as she was wa

AleksandrR [38]

Answer:

Step-by-step explanation:

From the first receipt:

2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:

2g + 4o = 10.70

From the second receipt:

3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:

3g + 2o = 9.65

Putting those together into a system and solving using the elimination method:

2g + 4o = 10.7

3g + 2o = 9.65

I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:

2g + 4o = 10.7

-6g - 4o = -19.3

As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:

-4g = -8.6 so

g = 2.15

Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:

2(2.15) + 4o = 10.7 and

4.3 + 4o = 10.7 and

4o = 6.4 so

o = 1.60

Oranges cost $1.60 per pound. That is choice D from your list.

5 0

3 years ago

Ryan is selling a new computer system that he designed. He spent $200

Neporo4naja [7]

Answer:

Ryan should mark the price as $300.

Step-by-step explanation:

If he wants to markup his price by 50%, you first take 50% of $200 which is $100, then you add it to the original price 200+100= $300

4 0

2 years ago

An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y

Kay [80]

Answer:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

$\bar X_{1}=14$ represent the mean for sample 1 (younger)

$\bar X_{2}=20$ represent the mean for sample 2 (older)

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=31$ sample size for the group 2

$n_{2}=31$ sample size for the group 2

t would represent the statistic

System of hypothesis

We want to test if that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

The statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=31+31-2=60$

Replacing the info given we got:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0

3 years ago

Find the area of the figure. 12 ft 18 ft 18 ft 36 ft

Nataly_w [17]

Answer:

139968

Step-by-step explanation:

Multiply the all of the numbers together and you have your answer (:

7 0

3 years ago

3/5 + 4/15 = in simply

maksim [4K]

You have to get a common denominator so

3 x 3 = 9
5 x 3 = 15

So now we have 9/15 + 4/15 which is 13/15.

The answer is 13/15

7 0

3 years ago

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