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Rama09 [41]
3 years ago
9

Factor q^3-125 completely.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0

Answer:

The fully factored form is (q - 5)(q^2 + 5q + 25)

Step-by-step explanation:

To find this, we must first note that this is the difference of two perfect cubes. q^3 is q cubed and 125 is 5 cubed. So we can use the following formula and plug in the information to solve.

(a^3 - b^3) = (a - b)(a^2 + ab + b^3)

(q^3 - 5^3) = (q - 5)(q^2 + 5q + 25)

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If someone can please do the check for me, please.
Kaylis [27]

Whats the question theres nothing attached

3 0
3 years ago
Solve the questions bellow
Hatshy [7]

Answer:

1. 29.67°

2. 68.96°

3. 89.85°

Step-by-step explanation:

1. Reference angle = x

Opposite = 45 cm

Adjacent = 79 cm

Therefore:

tan(x) = \frac{45}{79}

tan(x) = 0.569620253

x = tan^{-1}(0.569620253)

x = 29.67 (nearest hundredth)

2. Reference angle = B

Opposite = 14

Hypotenuse = 15

Therefore:

sin(B) = \frac{14}{15}

sin(B) = 0.93333

B = sin^{-1}(0.93333)

B = 68.96 (nearest hundredth)

3. Reference angle = x

Adjacent = 238,900 mi

Hypotenuse = 92,955,807 mi

Therefore:

cos(x) = \frac{238,900}{92,955,807}

x = cos^{-1}(\frac{238,900}{92,955,807})

x = 89.85 (nearest hundredth)

8 0
3 years ago
A total of
Arte-miy333 [17]
Let x equal the number of adult tickets sold. 

X + 3X=512
(I put 3x because we know the students sold 3 times as many). 
Solve for X. 

X+3X=512
4X=512
4X/4=512/4
X=128
3 0
4 years ago
Plz help I’m getting timed
IgorC [24]

Answer:

26

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A medicine is known to decompose and become ineffective if its temperature ever reaches 103 degrees Fahrenheit or more. Write an
Ludmilka [50]

Answer: Interval = [103,∞)

Explanation :

A medicine become ineffective if its temperature ever reaches 103 degrees Fahrenheit or more .

So, Interval becomes [103,∞)

i.e. semi-open or semi-closed interval as it includes 103\textdegree

So, we used closed brackets i.e. square brackets and

For '∞' we always use open brackets only.

5 0
3 years ago
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