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3 years ago

MULTI-STEP PROBLEM You are buying a tank for three fish. You have a

Mathematics

1 answer:

Kamila [148]3 years ago

5 0

Answer:

a) 12 inches

b) 144 square inches

Step-by-step explanation:

The complete question has 2 parts to answer:

a. What is the total length of the three fish?

b. How many square inches of water surface do the fish need?

Lets answer:

The total length of three fish are the sum of all the individual fishes' length.

1st is 3.5 in

2nd is 5.5 inches

3rd is 3 inches

Sum is:

3.5 + 5.5 + 3 = 12 inches

f is 12

The expression $12f$ gives the total area. We already found f = 12, now the area is:

Area = 12f

Area = 12 * 12

Area = 144 sq. in.

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Answer:

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3 years ago

The lengths of the sides of the triangles are 13cm, 14cm, and 15cm. Is the triangle a right triangle?

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Answer:

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Step-by-step explanation:

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3 years ago

(-2.04)(4.08) = A) 8.3232 B) 2.04 -2.04 D) -8.3232

PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Which is the following is the set of real zeros of the function f(x) = (x3 + 1000)(x4 - 160,000)?

marusya05 [52]

Answer:

A. { -20, -10, 20 }

Step-by-step explanation:

Given:

The function is given as:

$f(x)=(x^3+1000)(x^4-160000)$

Let us simplify the function.

First, we use the identity $a^3+b^3=(a+b)(a^2-ab+b^2)$

$x^2+1000= x^3+10^3=(x+10)(x^2-10x+10^2)\\x^3+1000=(x+10)(x^2-10x+100)$

Next, we use the identity $a^4-b^4=(a-b)(a+b)(a^2+b^2)$

$x^4-160000=x^4-20^4=(x-20)(x+20)(x^2+20^2)=(x-20)(x+20)(x^2+400)$

Now, the function can be rewritten as:

$f(x)=(x+10)(x^2-10x+100)(x-20)(x+20)(x^2+400)$

Now, the zeros are those values of $x$ for which $f(x)=0$

Now, for $f(x)=0$ , we must have either of the factors 0.

$x+10=0\\x=-10$

$x-20=0\\x=20\\\\x+20=0\\x=-20$

The factors $x^2-10x+100$ and $x^2+400$ can have no zeros as the first one has imaginary roots and second one is always greater than 0 irrespective of the $x$ values.

So, the possible set of zeros are { -20, 10, 20 }.

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4 years ago