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svlad2 [7]
3 years ago
9

What's the error? Jerry says that a cube with edges that measure 10 cm has a volume that is twice as much as a cube with sides t

hat measure 5 cm. Explain and correct Jerry's error
Mathematics
1 answer:
disa [49]3 years ago
4 0
The quick way to dispute something like this is to simply do the calculation and then create a ratio. 

Cube One (Large Cube)
The formula for a cube is V = e^3 
e = the measurement of an edge. In this case.
e = 10 cm
V = e^3
V = 10^3 = 10*10*10
V = 1000 cm^3

Cube 2 (Small Cube)
V = e^3
e = 5 cm
V = 5*5*5
V = 125 cm^3

Ratio
Large Cube / Small Cube = 1000 / 125 = 8/1.

The difference in size is 8 to 1 not 2 to 1.

Explanation
He's right if he sticks to one side. The ratio of one side of the large cube to the small one is 2 to 1. But once you put that into the formula for volume, three sides are multiplied together and that 2 shows up everytime you multiply the sides together. 

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How do you express three less than a number
Lynna [10]

Answer:

x - 3

Step-by-step explanation:

let's call the unknown number x to express its value that's three less than actual number we say x - 3

5 0
3 years ago
The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).
garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

f(x)=x^2+6x+3

g(x)=f(x-2)

g(x)=(x-2)^2+6(x-2)+3  (Replaced x in f with (x-2))

g(x)=x^2-4x+4+6x-12+3 (Used (x+b)^2=x^2+2bx+b^2 and distributive property)

g(x)=x^2-4x+6x+4-12+3 (Gathered like terms)

g(x)=x^2+2x-5  (Simplified)

The vertex of a parabola occurs at (\frac{-b}{2a},g(\frac{-b}{2a}).

Let's find \frac{-b}{2a} first.

\frac{-2}{2(1)}=-1

Now we can obtain g(\frac{-b}{2a}) which is g(-1) in this case:

g(x)=x^2+2x-5

g(-1)=(-1)^2+2(-1)-5

g(-1)=1-2-5

g(-1)=-1-5

g(-1)=-6.

The vertex is (-1,-6).

6 0
3 years ago
Help please...........-
vovangra [49]

Answer:c

Step-by-step explanation:

c

8 0
3 years ago
Read 2 more answers
Evaluate the integral x^3 (x 4 −8)^44 dx by making the substitution u = x^4 - 8
Eduardwww [97]

Answer:

(x^4-8)^45 /180 +c

Step-by-step explanation:

If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.

If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.

Now we are ready to make substitutions into our integral.

Int(x^3 (x^4-8)^44 dx)

Int(((x^4-8)^44 x^3 dx)

Int(u^44 du/4)

1/4 Int(u^44 dul

1/4 × (u^45 / 45 )+c

Put back in terms of x:

1/4 × (x^4-8)^45/45 +c

We could multiply those fractions

(x^4-8)^45 /180 +c

5 0
2 years ago
Plzz answer this as soon as possible! The graph shows the number of miles two cars travel.
Solnce55 [7]
The answer is 15

From the graph:
Car A traveled 60 miles in one hour
Car B traveled 75 miles in one hour.

Car B travels 15 more miles per hour
3 0
3 years ago
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