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Alborosie
3 years ago
12

1 pound is closest in weight to which one of the following Metric units of weight?

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

<h2>4.5 N</h2>

Step-by-step explanation:

To convert 1 pounds to its meteric unit in weight, we need to first convert it to kilogram. Using the conversion 1pound = 0.453592 kg

Since Weight of a substance = mass of the substance * acceleration due to gravity

W = mg

Given mass = 0.453592kg and g = 9.8m/s²

Weight = 4.4452016 Newtons

1 pounds is therefore closest to 4.5 units metric of weight

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Evaluate the expression, 7x+8(x-3). Assume that x=4.
NNADVOKAT [17]

Answer:

if x was 4 then the answer would be 36.

Step-by-step explanation:

28+8(4−3)

=28+(8)(1)

=28+8

=36

8 0
3 years ago
Prove each of the following statements below using one of the proof techniques and state the proof strategy you use.
pochemuha

Answer:

See below

Step-by-step explanation:

a) Direct proof: Let m be an odd integer and n be an even integer. Then, there exist integers k,j such that m=2k+1 and n=2j. Then mn=(2k+1)(2j)=2r, where r=j(2k+1) is an integer. Thus, mn is even.

b) Proof by counterpositive: Suppose that m is not even and n is not even. Then m is odd and n is odd, that is, m=2k+1 and n=2j+1 for some integers k,j. Thus, mn=4kj+2k+2j+1=2(kj+k+j)+1=2r+1, where r=kj+k+j is an integer. Hence mn is odd, i.e, mn is not even. We have proven the counterpositive.

c) Proof by contradiction: suppose that rp is NOT irrational, then rp=m/n for some integers m,n, n≠. Since r is a non zero rational number, r=a/b for some non-zero integers a,b. Then p=rp/r=rp(b/a)=(m/n)(b/a)=mb/na. Now n,a are non zero integers, thus na is a non zero integer. Additionally, mb is an integer. Therefore p is rational which is contradicts that p is irrational. Hence np is irrational.

d) Proof by cases: We can verify this directly with all the possible orderings for a,b,c. There are six cases:

a≥b≥c, a≥c≥b, b≥a≥c, b≥c≥a, c≥b≥a, c≥a≥b

Writing the details for each one is a bit long. I will give you an example for one case: suppose that c≥b≥a then max(a, max(b,c))=max(a,c)=c. On the other hand, max(max(a, b),c)=max(b,c)=c, hence the statement is true in this case.

e) Direct proof: write a=m/n and b=p/q, with m,q integers and n,q nonnegative integers. Then ab=mp/nq. mp is an integer, and nq is a non negative integer. Hence ab is rational.

f) Direct proof. By part c), √2/n is irrational for all natural numbers n. Furthermore, a is rational, then a+√2/n is irrational. Take n large enough in such a way that b-a>√2/n (b-a>0 so it is possible). Then a+√2/n is between a and b.

g) Direct proof: write m+n=2k and n+p=2j for some integers k,j. Add these equations to get m+2n+p=2k+2j. Then m+p=2k+2j-2n=2(k+j-n)=2s for some integer s=k+j-n. Thus m+p is even.

7 0
3 years ago
B)simplify the expression <br> 7x2 + 4x – 2 + 8x2 – 9x – 5
konstantin123 [22]

Answer:

=25x-7

Step-by-step explanation:

4 0
3 years ago
Sara's mother has bought 90 lollipops and 105 pencils for goody bags for Sara's birthday. What is the largest number of goody ba
crimeas [40]

Answer:

<h3>15</h3>

Step-by-step explanation:

<h2>you need to find the lcf(least common factor) of the two numbers which is 15</h2>
5 0
3 years ago
Rachel is keeping track of how much water she drinks. On Friday, she drank two bottles of water with snacks and 5 cups of water
xeze [42]

Answer:

2 CUPS

Step-by-step explanation:

Write two equations, where "b" = bottles, and "c" = cups

2b +5c = b +7c -->

b = 2c

THERE ARE 2 CUPS IN A BOTTLE

6 0
3 years ago
Read 2 more answers
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