Which expression represents the union of not a and not bA) P(A' ∩ B')

B) (A' ∩ B')

C) (A ∪ B)

D) A' ∪ B'

Answers

Answer 1

Answer:

The expression represents the union of not A and not B will be A' ∪ B'. Then the correct option is D.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression represents the union of not A and not B mathematically as,

A' ∪ B'

Then the correct option is D.

More about the Algebra link is given below.

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Answer 2

Answer: I think that would be D

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"You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the restaurant is given by y=−40x+200, where x is the number of hours since your friend left home. You live 100 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant."

Answers

The equation will be:

$y=-20x+100$

Why?

Let's work with your friend equation in order to find the time from his house to the restaurant (is the same as yours).

We are given the following function:

$y=-40x+200$

When: $y=0$ our friend arrived, so, calculating "x", we have:

$0=-40x+200\n\n40x=200\n\nx=(200)/(40)=5h$

We have that it took 5 hours for our friend to arrive at the restaurant, and it's the same time for you. We know that you live 100 miles from the restaurant.

Your equation will have the following form:

$y=-k*x+distance$

Where,

y is the position

k is the rate distance/time

x is the time

Now, again, when $y=0$ , you will have arrived at the restaurant too, so:

$0=-k*x+100$

Using "x" equal to 5 hours, because you will have arrived at that time too, we have:

$0=-k*5+100\n\nk=(100)/(5)=20$

Your equation will be:

$y=-20x+100$

Have a nice day!

Roberto evaluated 3/4 ÷ 4/5 and got an answer of 15/16. which statement is true about his answer?

Answers

Roberto's solution to the division problem is correct, but
there are no true statements on your list of choices.

Which algebraic expression represents the sum of 6 and one fifth of x?

Answers

sum of 6 and one fifth of x
=====> $6 + \cfrac{1}{5}x$

The answer is (1/5x) +6

Which expression has a value of 15 when n = 7? 43 minus 5 n 3 n minus 5 6 n minus 28 19 minus StartFraction 28 Over n EndFraction

Answers

Answer:

$19-(28)/(n)$ is the expression with value of 15 when n = 7.

Step-by-step explanation:

To find the expression whose value is 15, substitute the value of n = 7 in each given expression.

Expression 1:

$43-5n$

Substituting the value of n,

$43-5\left(7\right)$

Simplifying,

$43-35=8$

Since the value of the expression is 8 which is not equal 15.

Hence expression $43-5n$ does not have value of 15 when n = 7.

Expression 2:

$3n-5$

Substituting the value of n,

$3\left(7\right)-5$

Simplifying,

$21-5=16$

Since the value of the expression is 16 which is not equal 15.

Hence expression $3n-5$ does not have value of 15 when n = 7.

Expression 3:

$6n-28$

Substituting the value of n,

$6\left(7\right)-28$

Simplifying,

$42-28=14$

Since the value of the expression is 14 which is not equal 15.

Hence expression $6n-28$ does not have value of 15 when n = 7.

Expression 4:

$19-(28)/(n)$

Substituting the value of n,

$19-(28)/(7)$

Simplifying,

$19-4=15$

Since the value of the expression is 15 which is equal 15.

Hence expression $19-(28)/(n)$ has the value of 15 when n = 7.

Final answer:

Upon substituting n = 7 into each of the four mathematical expressions given in the question, the expression '19 - 28/n' evaluates to 15. Hence, '19 - 28/n' is the answer.

Explanation:

To find out which expression equals to 15 when n = 7, we substitute n = 7 into each of the given expressions and evaluate them:

43 - 5n becomes 43 - 5(7) = 43 - 35 = 8,
3n - 5 becomes 3(7) - 5 = 21 - 5 = 16,
6n - 28 becomes 6(7) - 28 = 42 - 28 = 14,
19 - 28/n becomes 19 - 28/7 = 19 - 4 = 15.

Therefore, the expression '19 - 28/n' evaluates to 15 when n = 7.

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What would my final balance be if i put $650 in the bank for 60 months with an interest rate of 6%

Answers

my math is 6%= 0.06*650=39*60 is $2,340 if i am correct please mark as brainliest thx:)

$650 × 1.06 = $689
this is assuming that it is a simple interest rate
---------------------------

Assuming apr is the rate: 60÷12=5 (years)

650÷60= $10(5)/(6)$ (per month)

Year one: $5 (5)/(6)$ ×12=130 (per annum)
130×1.06= $137.8

Year two: 137.8 + 130 = 267.8
267.8×1.06 = 283.868

Year three: 283.868+130 = 413.868
413.863 × 1.06 ≈ $438.7

Year four: 438.7 + 130 = 568.7
568.7×1.06 ≈ $602.82

Year five: 602.82+130=732.82
732.82×1.06 ≈ $776.79

Select the objects that hold the same amount og liquid as a 96-fluid-ounce jug. mark all that apply

Answers

a) three 1 quart bottles
b) two 1 quart bottles
c) two 1 quart bottles and two 1 pint bottles
d) one 1quart bottle and eight 8 oz fluid glasses
e) two 8 Oz FL glasses and 2 one pint bottles

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