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Margaret [11]
2 years ago
9

How are the values of -4^3 and 4^-3 alike and how do they differ?

Mathematics
1 answer:
BartSMP [9]2 years ago
4 0

Answer:

(-4)³ = -64

(4)⁻³ = 1/64

Step-by-step explanation:

( - 4) {}^{3}  =  ( - 4) \times ( - 4) \times ( - 4) =  - 64 \\

{4}^{ - 3}  =  (\frac{1}{4} ) {}^{3}  \\

({ \frac{1}{4} )}^{3}  =  \frac{1}{4}  \times  \frac{1}{4}  \times  \frac{1}{4}  =  \frac{1}{64}  \\

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6 0
3 years ago
Write a sentence containing a gerund which functions as the subject of the verb.
Mamont248 [21]

Answer:

Swimming can improve your health.

Step-by-step explanation:

Gerunds are nouns which derive from verbs and take the -ing form. In the sentence, the noun swimming functions as the subject of the verb can.

Gerunds are usually used as subjects of sentences, after certain verbs (such as enjoy and look forward to) and after prepositions.

3 0
3 years ago
What is n x 2 squared= 14
zepelin [54]

Answer:

n=3.5

Step-by-step explanation:

2²=4

14÷4=3.5

3.5×4=14

3.5×2²=14

7 0
2 years ago
Find an equation for the line tangent to the circle x^2 +y^2=25 at the point (3, -4)
Lostsunrise [7]
Hello : 
the center of this cercle is : O( 0, 0)
calculate the slope  m of the line : OA    .. A (3,-4)
m= (yA - yO) / (xA- xO) 
m = (-4-0)/(3-0)
m= -4/3
if : k the slope of the tangent : k×m = -1   (the tangent perpendiclar of : OA)
k× (-4/3) = -1
k = 3/4
an equation of this tangent is : y - (-4) = (3/4)(x-3)

7 0
3 years ago
A 30 feet ladder is leaning against the wall. The top of the ladder is resting 25 feet on the building. How far is the base of t
g100num [7]

Answer:

16.58 feet

Step-by-step explanation:

a² + b² = c²

Think of this as a right triangle

The hypotenuse is 30, and one of the legs is 25

To find the other leg, subtract the square of the hypotenuse by the square of the given leg

30² - 25² = leg

900 - 625 = 275

Square root the answer to find the length of the missing leg

√275 = 16.583123951777

The leg is 16.58 ft.

6 0
2 years ago
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