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Marrrta [24]
2 years ago
11

1.18. A fish tank has a base, B, with an area, in square inches, modeled by B(x) = 2x + 6x + 4.

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
4 0

Answer:

The volume of fish tank is V(x)=2x^3+12x^2+22x+12

Step-by-step explanation:

Area of Base of fish tank = Length \times Breadth

We are given that A fish tank has a base, B, with an area, in square inches, modeled byB(x) = 2x^2 + 6x + 4.

So,  Length \times Breadth =2x^2 + 6x + 4.

Height of tank = x+3

Volume of tank = Length \times Breadth \times Height

So, Volume of tank =(2x^2 + 6x + 4)(x+3)

Volume of Tank =2x^3+6x^2+4x+6x^2+18x+12=2x^3+12x^2+22x+12

Hence The volume of fish tank is V(x)=2x^3+12x^2+22x+12

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Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
Please help need answer for both questions
myrzilka [38]

Answer:

1. 32, 12

2. Enlargement

Step-by-step explanation:

Enlarged by a scale factor of 4

(Multiply all points by 4)

8 x 4 = 32

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It is an enlargement because the points are larger than before.

5 0
2 years ago
In the spinner below, what is true about the probability of landing on 3 and the probability of landing on 4?
Karo-lina-s [1.5K]

Answer:

C.The probabilities are equal.  

The above statement is the only TRUE statement.

Step-by-step explanation:

Here, the given number of total possibilities are { 0,1,2,3,4,5,6,7,8,9}

So, number of total outcomes = 10

Let E : Event of spinner landing on 3

and E' : Even of spinner landing on 4

{Probability of Event E}  =  \frac{\textrm{Total number of favorable outcomes}}{\textrm{Toatl outcomes}}

\implies P(E) = \frac{1}{10}

⇒ P( landing on 3 ) = 1/10

and  P(E') = \frac{1}{10}

P( landing on 4 ) = 1/10

Now, the given statements are

A.The probability of landing on 3 is less than  probability of landing on 4.

FALSE, as both the probabilities are equal to 1/10.

B.The probability of landing on 3 is greater than probability of landing on 4.

FALSE, as both have same probabilities.

C.The probabilities are equal.

TRUE, both have same probability = 1/10

D.The probabilities cannot be predicted

FALSE, the probability are predictable.

3 0
2 years ago
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Answer:

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Step-by-step explanation:

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Let's see if we can find a pattern:

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So, the 60th row will have

48 + 2\cdot 59 = 48 + 118 = 166

7 0
3 years ago
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