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laiz [17]
3 years ago
8

Why 16 not a perfect cube

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

A perfect cube is a number that is the cube of an integer. For example, 125 is a perfect cube since 125 = 5 × 5 × 5= 5^{3}. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..

16 does not have a perfect cube, but does have a  perfect square 4×4=16

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A card is drawn from a standard deck of 52 cards. What is the theoretical probability as a decimal of drawing the number 8? Roun
Alborosie

The answer would be 0.15 because in a deck there are only 4 cards of 8 (diamonds, hearts, clovers, and spades). Since there are 52 cards, you would divide 8 by 52 to get 0.153846, but since it says to round to the nearest hundredths, the answer would be 0.15.

8 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/ min while the area of the triangle is increasing at a rate of 2 cm2
serg [7]
Ya, calculus and related rates, such fun!




everything is changing with respect to t

altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min

area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min

base=db/dt

alright

area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt

ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b

so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min

therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt

the base is decreasing at 1.6cm/min
4 0
3 years ago
How many negative roots will this function have? f(x) = x^7 – 2x^4 + 7x^2 + 2x – 2<br> help plsss
Vikentia [17]

There are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

<h3>What is polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

We have a polynomial function:

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

\rm f(x) =\left(x+1\right)\left(x^6-x^5+x^4-3x^3+3x^2+4x-2\right)

Using the zero product property:

\rm \left x+1\right = 0 \ \ \ or \left x^6-x^5+x^4-3x^3+3x^2+4x-2\right = 0

After solving:

x = -1, x = -0.853, and x = 0.418 (using the graph method)

Thus, there are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ1

7 0
2 years ago
How many meatballs do frank need to make if there are 20 adults and 8 children the equation is m=4a+2c
MAVERICK [17]

The equation is 4 meatballs for every adult and 3 for every child. Replace a and c and solve:

M = 4(20) + 2(8)

M = 80 + 16

M = 96

They need 96 meatballs.

3 0
3 years ago
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WINSTONCH [101]
(2,40) is the ordered pair where the 2 lines meet
4 0
2 years ago
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