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xxMikexx [17]
3 years ago
15

The slope of a line parallel to y=2x+1 is 2

Mathematics
1 answer:
Ann [662]3 years ago
7 0
Yes. Parallel means same slope as original line. So it’s 2
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What is 67 multiplyed by 55 ?
Brilliant_brown [7]

Hi there! :)

Step-by-step explanation:

Multiply- it's going to be product. It can also multiply by the numbers, fractions, decimals, factors, and multiples.

First, multiply by the numbers.

67*55=3685

335+3350=3685

Answer: \boxed{=3685}

Hope this helps!

Thanks!

-Charlie

Have a great day! :)

6 0
3 years ago
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You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.75. Wi
Dafna1 [17]

Answer:

0.2915

Step-by-step explanation:

Let W represent water and D represent Dying probability

W = water

D = die

 

->If with water, it will die with probability 0.4

P(W & D) = 0.82 x 0.4 = 0.328

->Without water the plant will die with probability 0.75

P(W ' & D) = 0.18 x 0.75 = 0.135

Taking sum of the above values with water and without water.

P(D) = P(W & D) +  P(W ' & D) = 0.4643

P(W ' | D) = P(W ' & D) / P(D)

= 0.135 /0.463

= 0.2915 ≈ 29.15%

Thus, the probability the neighbor forgot to water is 0.2915

4 0
3 years ago
How do i solve each proportion?
natali 33 [55]
You have to cross multiply (multiply the numerator of the first by the denominator of the second and the numerator of the second by the denominator of the first).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[19]

\frac{x+4}{3} =  \frac{4}{10}

10x+40=12

10x = -28

x=-2.8

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[21]

\frac{4}{n+8} =  \frac{10}{8}

32 = 8n + 64

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8 0
3 years ago
Read 2 more answers
In each part, decide if the statement is true. If it is true, prove it. If it is not true, give an explicit counterexample and d
svet-max [94.6K]

Answer: Hello!

ok, remember that "if and only if" implies that you need to prove the statement in both ways, this is represented with the ⇔ usually.

a) For any sets A, B and C, A ∩ B ⊆ C if and only if either A ⊆ C or B ⊆ C.

In this type of problems, i  find very useful start looking for some counterexample.

In this case, suppose that A = {1,2,3,4,5} , B = {3,4,5,6,7} and C = {3,4,5,6}

then is easy to see that A ⊄ C and B ⊄C.

And A∩B = {3,4,5}

then A∩B ⊂ C

then the statement is false (because one of the ways is false, remember that this is an "if and only if" statement)

b) For any sets A, B and C, A ⊆ B ∩ C if and only if both A ⊆ B and A ⊆ C.

the first way is true; because if A ⊆ B ∩ C. then all the elements of A are in the intersection of B and C (which are common elements for B and C) and then all the elements of A are in the set B and in the set C, and this means that A ⊆ B and A ⊆ C.

But let's see the other way now, suppose that A ⊆ B and A ⊆ C, now we want to know if A ⊆ B ∩ C.

if A ⊆ B and A ⊆ C, means that all the elements of A are in B, and all the elements of A are in C, then all the elements of A are common elements between B and C, this means that B ∩ C is at least equal to A (at least, because we know that all the elements of A are common elements between B and C, but there could be more common elements that don belong to A)

then A ⊆ B ∩ C.

4 0
3 years ago
What are the advantages of using an algebraic expression to represent a pattern rule, compared with describing the pattern in wo
laila [671]
Even if the pattern is only shown with 10 numbers you can solve to see what the 100th term would be with algebra
4 0
3 years ago
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