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marishachu [46]
3 years ago
13

Naomi‘s fish is 40 mm long. Her guinea pig is 25 cm long. How much longer is your guinea pig than her fish?

Mathematics
1 answer:
hjlf3 years ago
3 0

Answer:

21 cm

Step-by-step explanation:

25-4=21

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HELP. Multiply the polynomials and simplify the answer. Show your work.
Aliun [14]

Answer:

Part 1)

=12a^5-6a^4-5a^3-24a^2+12a-7

Part 2)

(2x^3-10x^2+5x+14)\div(x-2)=2x^2-6x-7

Step-by-step explanation:

Part 1)

We would like to multiply:

(3a^3-2a-7)(4a^2-2a+1)

Distribute each term from the first group into the second group. So:

=3a^3(4a^2-2a+1)-2a(4a^2-2a+1)-7(4a^2-2a+1)

Distribute further:

=(12a^5-6a^4+3a^3)+(-8a^3+4a^2-2a)+(-28a^2+14a-7)

Combine like terms:

=(12a^5)+(-6a^4)+(3a^3-8a^3)+(-28a^2+4a^2)+(-2a+14a)+(-7)

Simplify:

=12a^5-6a^4-5a^3-24a^2+12a-7

Part 2)

We would like to divide:

(2x^3-10x^2+5x+14)\div(x-2)

Using long division.

Please refer to the attached document.

For the first step, x goes into 2x³ 2x² times. Hence, we multiply our divisor by 2x².

Next, x goes into -6x^2 -6x times. Hence, we multiply our divisor by -6x.

Finally, x goes into -7x -7 times. So, we multiply our divisor by -7 and we simplify.

Therefore:

(2x^3-10x^2+5x+14)\div(x-2)=2x^2-6x-7

7 0
3 years ago
The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?
Ganezh [65]

Answer: twenty-four fifths

Step-by-step explanation:

3/5 x 8 → 3/5 x 8/1 (8/1 is the same as 8) → 3 x 8 = 24 and 5 x 1 = 5 so 3/5 x 8 is 24/5

8 0
3 years ago
An integer that represents a withdrawal of $45?
yaroslaw [1]

Answer:-45

Step-by-step explanation:

4 0
3 years ago
Find the equation of a circle with a center at (7, 2) and a point on the circle at (-2, -5).
KatRina [158]

Answer:

(x-7)^2 + (y-2) ^2 = 130

Step-by-step explanation:

We need to find the length of the radius

the length of the radius is found by using the distance formula

r = sqrt(  ( -2-7)^2+( -5 -2)^2)

    sqrt(  ( -9)^2+( -7)^2)

    sqrt( 81+49)

    sqrt(130)

The formula for a circle is

(x-h)^2 + (y-h) ^2 = r^2

where (h,k) is the center and r is the radius

(x-7)^2 + (y-2) ^2 = 130

4 0
3 years ago
Which graph represents a function?
salantis [7]

Answer:

It is the answer closest to the right. The one with a straight line.

Step-by-step explanation:

Because it is a function if there is only one dot per line vertically. The others have either 2 or more dots per line vertically.

7 0
3 years ago
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