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17 days ago

Someone explain why each nonzero integer has two square roots but only one cube root

1 answer:

6 0

The square root of a number is the value that multiplied by itself yields that number. For example, 4 multiplied by 4 gives 16, so 4 is a square root of 16. However, since (-4) times (-4) also equals 16, -4 is another square root of 16. Accordingly, every nonzero integer has two square roots.

On the other hand, a cube root of a number is a value which, when multiplied three times by itself, produces the number. For instance, 3 × 3 × 3 equals 27, so 3 is the cube root of 27. Unlike the square root, the cube root of a number has just one unique value, because -3 × -3 × -3 equals -27, not 27.

Hope this clarifies the distinction.

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Bridgette opened a store credit card to purchase a business suit for $463. She put the entire purchase on the credit card. Her A

Inessa [3926]

Begin by determining the monthly interest rate as follows:
$\frac{14.99}{12}=1.25$
<span>Each month, we deduct the monthly rate and the 5% payment from $463, leading to the following formula:</span>
$463(1-(0.05+0.0125))^3=463\times0,9375^3\\=381.5$
<span>
Therefore, after three months, Bridgette will have a remaining balance of $381.5 in her account.</span>

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4 days ago

A battery has enough energy to operate eight toy bears for 21 hours. For how long could the battery operate 15 toy bears?

PIT_PIT [3949]

Answer:

28 hours required for 15 toy bears

Step-by-step explanation:

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10 days ago

Santa Claus is assigning elves to work a shift making toy trucks. Apprentice elves draw a wage of forty candy canes per shift, b

PIT_PIT [3949]

Answer:

link:

Step-by-step explanation:

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8 days ago

A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be,

lawyer [4039]

Answer: 13

I made an error on the question, and it provided the right answer. Thank me later.

4 0

12 days ago

At the warm-up event for Oscar’s All Star Hot Dog Eating Contest, Al ate one hot dog. Bob then showed him up by eating three hot

Inessa [3926]

Answer: Zeno consumed 51 hot dogs.

The total number of hot dogs consumed was 676.

Step-by-step explanation:

Al started by eating one hot dog. Bob then outperformed him by devouring three hot dogs. Carl, not wanting to fall behind, ate five hot dogs. This pattern continued, with each participant consuming two hot dogs more than the previous one. This indicates that the quantity of hot dogs eaten by each contestant followed an arithmetic sequence.

The formula for finding the nth term in an arithmetic series is given by

Tn = a + (n - 1)d

Where

a denotes the first term in the sequence.

d signifies the common difference.

n stands for the total terms in the sequence.

<pBased on the details provided,

a = 1 hot dog

d = 3 - 1 = 2 hot dogs

We aim to find how many hot dogs the 26th contestant, T26, consumed. Thus,

T26 = 1 + (26 - 1)2 = 1 + 50

T26 = 51 hot dogs

The formula to calculate the sum of n terms in an arithmetic sequence is

Sn = n/2[2a + (n - 1)d]

Hence, to find the total number of hot dogs consumed by 26 contestants, S26 is calculated as

S26 = 26/2[2 × 1 + (26 - 1)2]

S26 = 13[2 + 50]

S26 = 13 × 52 = 676 hot dogs

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9 days ago