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2 years ago

Which Venn diagram correctly describes the relationship between the set of integers and the set of whole numbers

Mathematics

1 answer:

Brums [2.3K]2 years ago

3 0

Answer:

Option (A).

Step-by-step explanation:

Option (A).

All whole numbers are integers.

True.

Option (B).

Whole numbers and integers have no element in common.

False. All whole numbers are integers. Therefore, whole numbers are contained in integers on Venn diagram.

Option (C).

All integers are whole numbers.

False. All whole numbers are integers.

Option (D).

Some whole numbers are integers.

False. All whole numbers are integers.

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Is 4/16 equivalent to 3/5

azamat

No, as if you reduce 4/16 it is 1/4, not 3/5, therefore they are not equivalent.

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3 years ago

A cabinet door has a perimeter of 62 inches its area is 228 in.² what are the dimensions of the door

Vlad1618 [11]

P=2(L+W)
A=LW

given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W

sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero

W-19=0
W=19

W-12=0
W=12

sub back

L=31-W
L=31-12
L=19
or
L=31-19
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the doorway is 12in by 19in

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3 years ago

True or false if you divide a number by two it's always even

Gnesinka [82]

False, ex: 18/2 = 9
false, ex: 18/2 = 9

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3 years ago

Read 2 more answers

Winnie poured 14 cups of water into a rectangular container measuring 13 inches by 7 inches by 6 centimeters. [1 cup = 14.44 cub

Alex_Xolod [135]

Part A:
Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3 

Part B: 
1 cup = 14.4375 in^3 

14 cups = 14.4375 in^3 x 7 = 202.125 in^3 

Part C: 
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3 years ago

Use these functions to answer the questions.

Elenna [48]

Part A
We have $f\left(x\right)=\left(x+3\right)^2-1$ . To solve for the x-intercept, we set f(x) equal to 0. That is
$\left(x+3\right)^2-1=0$

$\left(x+3\right)^2=1$

Take the square root of both sides,
$x+3=1$

$x=-2$

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
$y=\left(0+3\right)^2-1=3^2-1=9-1=8$

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have $g\left(x\right)=-2x^2+8x+3$ .
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Simplify
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Part C
We have $h\left(t\right)=-16t^2+28t$ .
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