MATHEMATICS HIGH SCHOOL

What is the domain of y = cos θ

Answers

Answer 1

Answer:

Answer:

The domain is all real numbers or $x\in(-\infty,\infty)$

Step-by-step explanation:

The definition of domain is :

Domain is the set of x values for which the function is defined.

The given function is y = cos θ and we know that θ can take any value. In other words, for any value of θ, the function y = cos θ is defined.

Therefore, we can conclude that the domain of y = cos θ is the set of all real values.

In interval notation we can write it as

$x\in(-\infty,\infty)$

Answer 2

Answer: all real numbers / all x
if you're asking for range as well then its -1<x<1

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A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 5% real fruit juice and Drink B contains 10% real fruit juice. How many liters of real fruit juice would be needed to produce 250 liters of Drink A and 200 liters of Drink B? How many liters of real fruit juice would be needed to produce aa liters of Drink A and bb liters of Drink B?

Answers

Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Final answer:

To find the amount of real fruit juice needed, multiply the total volume of each drink by the percentage of juice it contains. For 250 liters of Drink A and 200 liters of Drink B, you need 32.5 liters of fruit juice in total. Apply the same method for any quantity of drinks.

Explanation:

We can compute the amount of real fruit juice needed for the drinks by using a similar method as in Chapter 9: multiplying the total volume of each drink by the percentage of real fruit juice it contains.

For Drink A: 250 liters * 5% = 12.5 liters of real fruit juice.

For Drink B: 200 liters * 10% = 20 liters of real fruit juice.

So in total, to produce 250 liters of Drink A and 200 liters of Drink B, you would need 12.5 liters + 20 liters = 32.5 liters of real fruit juice.

For aa liters of Drink A and bb liters of Drink B, you would do the following calculations:

Drink A: aa liters * 5%

Drink B: bb liters * 10%

Add the results from both calculations to get the total liters of real fruit juice needed.

Learn more about Percentage Calculation here:

brainly.com/question/32197511

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Mrs.Jacobsen purchased a 5-pound package of ground beef for $12.40. She decided to use 8 ounces each day for dinner recipes. What was the cost of ground beef per meal?

Answers

First, convert the 5lb figure to ounces. There are 16oz in 1lb, so in 5lb there are 80oz (16 x 5). This means you can get 80oz for $12.40. 8oz is ten times smaller than 80z, so divide the cost by ten also. 8oz = $1.24.

Final answer:

The cost of ground beef per meal is $1.24.

Explanation:

To find the cost of ground beef per meal, we first need to convert the total weight of the package from pounds to ounces. Since there are 16 ounces in a pound, a 5-pound package of ground beef is equal to 80 ounces. Next, we divide the cost of the package ($12.40) by the total number of ounces (80) to find the cost per ounce.

This calculation gives us $0.155 per ounce. Finally, since Mrs. Jacobsen is using 8 ounces each day for dinner recipes, we multiply the cost per ounce ($0.155) by the number of ounces used per meal (8) to find the cost of ground beef per meal. The cost of ground beef per meal is $1.24.

Learn more about cost of ground beef per meal here:

brainly.com/question/22376908

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What is the z score of 0.10?

Answers

Answer:

Z (0.10) = 1.282 (the Z-score which has 0.10 to the right, and 0.4000 between 0 and it). As a shorthand notation, the () are usually dropped, and the probability written as a subscript.

Step-by-step explanation:

hope this helped you if it did plz mark brainliest

In the set of first 10 natural numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10: What percent of the numbers are odd?

Answers

Answer: 50%

Step-by-step explanation:

If you notice the end points we start with odd and end in an even.

There can be a shift that matches evens and odds so 50% evens and 50% odds

From MysticAlanCheng

Here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.a)work out the range of the numbers in the list.
b)work out the mean of the numbers in the list

Answers

The range of the numbers in the list is 20 and the mean of the numbers in the list is 17.14

Work out the range of the numbers in the list.

To calculate the range of the numbers in the list, subtract the smallest number from the largest number:

Range = Largest number - Smallest number

Range = 32 - 12 = 20

Work out the mean of the numbers in the list

To calculate the mean of the numbers in the list, add all the numbers and divide by the total number of numbers:

Mean = (12 + 13 + 19 + 16 + 32 + 15 + 13) / 7 = 120 / 7

Mean ≈ 17.14

Answers

so z-4 2/3=2 2/3
so 4 2/3=12/3+2/3=14/3
2 2/3=6/3+2/3=8/3
z-14/3=8/3
multiply both sides by 3
3z-14=8
add 14 to both sides
3z=22
divide both sides by 3
z=22/3=7 1/3

$z-4(2)/(3)=2(2)/(3)\ \ \ \ |add\ 4(2)/(3)\ to\ both\ sides\n\nz=2(2)/(3)+4(2)/(3)\n\nz=6(4)/(3)\n\n\boxed{z=7(1)/(3)}$

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