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3 years ago

Is the square root of 96 rational or irrational

1 answer:

5 0

The square root of 96 would be irrational, because it is not a perfect square only perfect squares (100 and 400 etc.) are rational.

Square root of 96= 9.797958971 This is not rational

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Solve the following inequality: –1 > –2(x – 4) – 5(4x – 7).

NikAS [45]

-1 > -2(x-4) - 5(4x - 7)
-1 > -2x + 8 - 20x + 35
-1 > -22x + 43
-1 - 43 > - 22x
-44 > - 22x
-44/-22 < x
2 < x....or x > 2

6 0

3 years ago

PLEASE LET ME KNOW (The answer ; explain if u want to)

Mrac [35]

Answer:

It takes 500 seconds for sunlight to reach Earth.

The mass of the sun is 18.98 * 10^28.

Step-by-step explanation:

Step 1) In order to solve problem number one, you would need to divide. Remember, in math in order to get from the smaller unit to the bigger unit, you divide.

Step 2) In this case, the smaller unit is the distance from the sun to earth. The bigger unit in the other hand, is the speed of light.

Step 3) 1.5 * 10^11/300,000,000 = 500

Answer: It takes 500 seconds for sunlight to reach Earth.

—

Step 1) In order to solve problem number 2, convert 26,000,000 in scientific notation which is 2.6 * 10^7.

Step 2) Now, multiply the mass of the sun by the mass of the moon.

(7.3*10^22) * (2.6 * 10^7)

Step 3) Note: whenver you multiply with exponents, you must always add them, the base remains the same.

10^22 + 10^7 = 10^29

7.3 * 2.6 = 18.98

Answer: To conclude, the mass of the sun is 18.98 * 10^28.

8 0

3 years ago

Mario claims that if the dinominator of a fraction is a prime number, then its decimal form is a repeting decimal. Do you agree?

vodomira [7]

Answer:

I do not agree because Mario's claim is not general.

Step-by-step explanation:

Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.

And a denominator is the divisor in a given fraction.

Considering the following fractions whose denominators are prime numbers:

$\frac{2}{3}$ = 0.66666666...

$\frac{1}{7}$ = 0.142857142

$\frac{5}{11}$ = 0.45454545...

$\frac{3}{13}$ = 0.23076923

$\frac{1}{7}$ = 0.142857142

It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.

4 0

3 years ago

What is the square root of -1?

Dimas [21]

Answer:

there isn't an answer, you can't get the square root of negative numbers. the sqaure root of a negative number does not exist in the set of Real Numbers

4 0

2 years ago

Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$