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3 years ago

The volume of a pyramid that fits exactly inside a cube is 49 cubic feet. what is the volume of the cube?

2 answers:

6 0

The volume of a pyramid is 1/3 the volume of the cube mentioned in the question since it fits exactly inside it. So multiply 49*3 = 147 cubic feet

Lostsunrise [7]3 years ago

4 0

The answer to the question is 147 cubic feet

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The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19

lisabon 2012 [21]

Answer:

$39,223\ rabbits$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

$a=9,100$

substitute

$y=9,100(1+r)^x$

For the year 1998

the number of years is equal to

x=1998-1991=7 years

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

$18,000=9,100(1+r)^7$

$(18,000/9,100)=(1+r)^7$

elevated both sides to 1/7

$(1+r)=1.1023$

$r=0.1023$

therefore

$y=9,100(1+0.1023)^x$

$y=9,100(1.1023)^x$

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

$y=9,100(1.1023)^{15}$

$y=39,223\ rabbits$

6 0

2 years ago

The expression (m^2/m^1/3)^1/2 is equivalent to

Luda [366]

(m^2/m^1/3)^1/2
m^5/6

7 0

3 years ago

What is 6x to the third power?

murzikaleks [220]

Answer:

216x

Step-by-step explanation:

Write it out: $6x^{3}$
$6^{3} = 216$
Add in x: 216x

I hope this helps!

8 0

2 years ago

Read 2 more answers

Consider △RST and △RYX.

astra-53 [7]

Answer:

B. StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction

i.e $\frac{RY}{RS}$ = $\frac{RX}{RT}$ = $\frac{XY}{TS}$

Step-by-step explanation:

Two or more shape or figures are similar when their sides and angles can be compared appropriately.

In the given figure, ΔRXY is within ΔRST. Since the two triangles are similar, then their length of sides can be compared in the form of required ratios.

So that by comparison,

$\frac{RY}{RS}$ = $\frac{RX}{RT}$ = $\frac{XY}{TS}$

Therefore, the correct option to the question is B.

8 0

2 years ago

Read 2 more answers

True or false y4 equals 16 if y is 2.

enyata [817]

False, y4 would equal 8 if y=2

8 0

3 years ago

Read 2 more answers