1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
15

"The intersection of two planes is a line" is a statement that is generally accepted as true, but

Mathematics
1 answer:
ra1l [238]3 years ago
7 0
<h3>Answer:  3. Postulate</h3>

A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.

You might be interested in
Name the Property of Equality that justifies this statement:
Nutka1998 [239]
The name of this property is symetric property of equality
5 0
3 years ago
Simplify the expression:<br><br> 5x + 8 – 13y – 4x – 18 + 16y
aleksandrvk [35]

\text{Hey there!}

\text{Simply the equation: 5x + 8 - 13y - 4x - 18 + 16y}

\text{First you have to combine the \bf{like-terms}}

\text{5x-4x = 1x}

\text{-13y + 16y = 3y}

\text{8 + (-18) = -10}

\boxed{\boxed{\bf{Answer: 1x + 3y - 10}}}\checkmark

~\frak{LoveYourselfFirst:)}

4 0
3 years ago
HELP PLEASE <br><br>must show work ​
matrenka [14]

Answer:

1. 4n^3

2. 4k^7

3. 3

4. -30x

5. -6

Step-by-step explanation:

1. The prime factorization of 12 is 2 x 2 x 3 and the prime factorization of 16 is 2 x 2 x 2 x 2. When you look at these two expressions you can see the common factors of these two numbers are 2 x 2, which is 4. Next, we look at the GCF of the N's which would be n^3 since n^5 has three N's in it. Therefore, we get 4n^3 when we multiply the two together.

2. The factors of 8 are 1, 2, 4, and 8. Out of these, 1, 2, and 4 are the only factors that 20 shares with it and 4 is the greatest. Then, we look at the K's and the GCF of the K's is k^7 since k^8 has seven K's. We multiply the two and we get 4k^7.

3. Since one of the numbers of the three given here does not include the variable n, there will not be any N's in the GCF of the three, so we don't have to worry about that. Now, we just find the GCF of 18, -24, and -21. The factors of 18 are 1, 2, 3, 6, 9, and 18, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, and lastly, the factors of 21 are 1, 3, 7, and 21. From these, 3 is the biggest common divisor, therefore the GCF is 3.

4. Between the two X's, X^1 is the biggest amount of X's this GCF has, so the final GCF will be some constant multiplies with X. Since we are dealing with bigger numbers on this problem, we should use prime factorization. The prime factorization of 90 is 2 x 3 x 3 x 5, and the prime factorization of 120 is 2 x 2 x 2 x 3 x 5. From these expressions, we take the biggest amount of each common factor as we can. Since these expressions both have 2, we take the smaller amount of 2's which is one two. Then we get one three from both expressions, and one five as well. 2 times 3 times 5 equals 30, therefore, we get -30x, and not 30x, because both of these numbers are negatives.

5. All of these numbers do not have an x, so there won't be an x in our GCF. Another method of quickly finding the GCF of numbers is to look at the smallest number's factors first to see what factors it shares with the other numbers. The factors of 12 are 1, 2, 3, 4, 6, and 12. 42 and 30 do not have the factor 12, so we can go down the list and see if 42 and 30 share the factor 6, which they do since 6 times 7 is 42 and 6 times 5 is 30. Since all of these numbers share the negative sign, the GCF of these three numbers is -6.  

5 0
3 years ago
suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily
Ksenya-84 [330]

Answer:  Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79

Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37

Option A results in the greater amount of money.

7 0
4 years ago
doors for the small cabinet are 12.5 inches long. Doors for the large cabinet are 2.5 times as long as the doors from the small
Firlakuza [10]
Large cab doors= 12.5x2.5= 31.25in

1feet = 12in

12feet X 12 = 144in board

144 / 31.25 = 4.608

4 large doors can be cut

19in left over
4 0
3 years ago
Other questions:
  • What is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!
    11·2 answers
  • Please help me answer this math question.
    6·1 answer
  • 3/5 of your job is completed. What fraction of the job remains to be done?
    13·2 answers
  • John drinks 40 ounces of water per day. How many cups of water does John drink per day?
    9·1 answer
  • If the following is an exponential growth function, f(x)=3(A)^x , what can the value of A be? Select all that apply.
    15·2 answers
  • What is the rational number for 1.1?
    7·1 answer
  • 4g2 (-g)3 = -4g5<br><br> True<br> False
    11·2 answers
  • the amount of snowfall in jan was 2 3/4 feet. the amount of snowfall in february was 1 2/3 feet. how much snow fall was there in
    10·1 answer
  • License plates are made using letters followed by digits. How many plates can be made if repetition of letters and digits is​ al
    10·1 answer
  • 5. Name a pair of supplementary angles.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!