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3 years ago

Which set includes rational numbers but not natural numbers?

Mathematics

2 answers:

adoni [48]3 years ago

8 0

Answer: Natural Numbers count physical things. They can't be negative.

The third option is correct because its fractions and decimals.

Step-by-step explanation:

GarryVolchara [31]3 years ago

7 0

Answer:

Step-by-step explanation:

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A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the wat

navik [9.2K]

Answer:

<u>Given :</u>

length offshore = CS=√(1+X^2)

Cable charged = 5000√(1+X^2)

onshore length = 4-X

laying cost = 3000(4-X)

total cost:

C=5000√(1+X^2) +3000(4-X)

DC/DX

= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum

5000X=3000√(1+X^2)

25X^2=3+3X^2

22X^2=3

X=√(3/22)

= 0.3693 miles

So, it would be laid offshore to S in a manner that

BS=X=0.3693 miles

Onshore=4-0.3693

=3.6307 miles

7 0

3 years ago

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y equals = 100 100 minus −x squa

masha68 [24]

Answer:

Step-by-step explanation:

Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

$y=100-x^2$

This parabola has vertex at (0,100) and symmetrical about y axis.

Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.

Hence coordinates of any rectangle are

$(a,0) (-a,0), (a, 100-a^2), (-a, 100-a^2)$

Length of rectangle = 2a and width = $100-a^2$

Area of rectangle = lw = $2a(100-a^2)=200a-400a^3$

To find max area, use derivative test.

$A' = 200-800a^2\\A"=-1600a$

Hence maxima when first derivative =0

i.e. when a =2

Thus we find dimensions of the rectangle are l =4 and w = 96

Maximum area = $4(96) = 384$

5 0

3 years ago

Tim has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an unknown height. he needs to build

ozzi

The volume of the original prism is given by:
V1 = (10) * (2) * (h)
rewriting:
V1 = 20h
Where,
h: height
The volume of the second prism is given by:
V2 = (5) * (w) * (h)
We know that the height is the same.
As the volume is the same then:
(5) * (w) * (h) = 20h
Clearing w we have:
w = (20/5) = 4 cm
Answer:
The width, in centimeters, of the new prism is:
w = 4cm

4 0

3 years ago

If A = (0, 0) and B = (8, 2), what is the length of AB?

dezoksy [38]

8, 2 because A doesn't add anything.

5 0

3 years ago

Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year.

zubka84 [21]

I assume you are looking for the total. The total amount in the account will be $4,781.54 if the interest is compounded annually.

If she is earning 6% interest, the balance in her account will be multiplied by 1.06 each year.

You can evaluate the following expression to find the total.
$3000(1.06)^8 = 4781.54$

6 0

3 years ago

Which set includes rational numbers but not natural numbers?​

Which set includes rational numbers but not natural numbers?