Translate into algebra. Then, simplify, writing without the absolute value sign. “ The sum of distances from points A and B to point C, which is between A and B.” Given B > A, the expression is and the simplified expression is

Answers

Answer 1

Answer:

The expression is: | x | = A + B + (A < C < B)

To simplify the expression, write without the absolute value sign and we would get this:

x = A + B + (A < C < B)

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Select the correct answer.Evaluate the following expression when x = -4 and y = 4.X to the 6th power -x/4yA.1,023/4B.1,023C.1,025/4D.16,385/4
Leah's annual take-home pay is $66,000. What is the maximum amount that she can spend per month paying off credit cards and loans and not be in danger of credit overload?A.$1200 B.$1320 C.$1100 D.5250
There are 80students in a speech contest. Yesterday, 14of them gave their speeches. Today, 25of the remaining students gave their speeches. How many students still haven't given their speeches?
Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose? A) (2x + 1)(2x2 + 2x – 1) B) (2x + 1)(4x3 + 2x – 1) C) (2x + 1)(4x2 – 2x + 1) D) (2x + 1)(2x2 – 2x + 1)

PLEASE HELP! I WILL MARK BRAINLIEST!!! What are the essential elements of an independent clause?

a subject and a complete thought
a subject, a verb, and a complete thought
a verb and a complete thought
a complete thought

Answers

Answer: A subject, a verb, and a complete thought.

Step-by-step explanation:

Independent clauses have three components:

They have a subject - they tell the reader what the sentence is about.

They have an action or predicate - they tell the reader what the subject is doing.

They express a complete thought - something happened or was said.

Step-by-step explanation:

A subject, a verb, and a complete thought

How do you do...
cos2x-sin2x=1-2sin2x

Answers

$sin (2 \alpha) =2\cdot sin \alpha \cdot cos \alpha \ncos(2 \alpha )=1-2sin^2 \alpha \n-------------------- \ncos2x-sin2x=1-2sin2x\ncos2x+sin2x=1\n1-2sin^2x+2sinx\cdot cosx=1\n-2sinx(sin x-cosx)=0\n -2sinx=0\ \ \ \ or\ \ \ \ sinx-cosx=0\n\n1)\ -2sinx=0\ \ \Leftrightarrow\ \ sinx=0\ \ \Leftrightarrow\ \ x_1=k \pi \ \ and\ \ k\in I\n2)\ \ sinx-cosx=0\ \ \Leftrightarrow\ \ sinx=cosx\ /:cosx\ \ \ \ \ \wedge\ \ \ \ cos x \neq 0\ntanx=1\ \ \Leftrightarrow\ \ x_2= ( \pi )/(4) +k \pi \ \ and\ \ k\in I$

Penn stacks all of his snowballs in a square pyramid. The number of snowballs, P(n), in n layers of the square pyramid is given by P(n) = P(n-1) + n^2 Which could not be the number of snowballs Penn has? 5, 30, 25, 14

Answers

Naturally, a pyramid of zero layers doesn't need any snowballs, so P(0) = 0. Then using the given recurrence, we find

P(1) = 1

P(2) = 1 + 4 = 5

P(3) = 1 + 4 + 9 = 14

P(4) = 1 + 4 + 9 + 16 = 30

and so on; luckily, three of these are listed among the answer choices, which leaves 25 as an insufficient number of snowballs to make such a pyramid.

More generally, we would end up with

$P(n) = 1^2 + 2^2 + 3^2 + \cdots + n^2 = \displaystyle \sum_(k=1)^n k^2 = \frac{n(n+1)(2n+1)}6$

Then given some number of snowballs S, you could try to solve for n such that

S = n (n + 1) (2n + 1)/6

and any S that makes n a non-integer would be the answer.

C2d3 has a solubility product constant of 9.14×10−9. what is the molar solubility of c2d3?

Answers

The correct answer for the question that is being presented above is this one:

We need to express the ksp expression of C2D3
C2D3
= (2x)2(3x)3
= 108x5

Then set that equation equal to your solubility constant

9.14x10-9 = 108x5
x = 9.67x10-3

So the molar solubility is 9.67x10-3

Daily snowfall in Omaha in January
Mode, median or mean?

Answers

Answer:

mean but im guessing as well

Step-by-step explanation:

3. A local charity sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.

Answers

On creating and solving the linear inequality based on the given conditions, the charity needs at least 1000 race entries to raise at least $55,000.

What is linear inequality?

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.

Let the number of race entries be x.

5000 + 55x + 10000 - 15x >= 55000

40x >= 40000

x >= 1000

The charity needs at least 1000 race entries to raise at least $55,000.

Learn more about linear inequality here

brainly.com/question/11897796

#SPJ2

55-15= 40

55,000-10,000=45,000

45000/55=819

i think it is 819?

Other Questions

If RS=8y + 4, ST=4y + 8, and RT=5y - 9, find the value of y. Find RS, ST, RT

Three times the sum of a number n and 5 is at least 17.