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givi [52]
4 years ago
8

Solve for x: 1/4 (4x + 15) = 24 A-49 B-207/4 C-81/4 D-9 PLEASE HELPPPPP MEEE

Mathematics
1 answer:
vesna_86 [32]4 years ago
3 0

(1/4)*(4*x+15) = 24 // - 24

(1/4)*(4*x+15)-24 = 0

1/4*(4*x+15)-24 = 0

1/4*(4*x+15)-24 = 0

x-81/4 = 0

x-81/4 = 0

x-81/4 = 0 // + 81/4

x = 81/4

x = 81/4

hope I helped

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Answer:

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

The question lacks appropriate option. Find the options below;

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Given the expression (4.296*10^{11})(1.8614*10^{-14}), to expand the expression we will apply some of the law of indices below. If a, b and m are integers

a^m*a^n = a^{a+m}

= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\  power\ of\ the \ exponents\\\\=  7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\

= 0.0079965744

<em>Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.</em>

4 0
3 years ago
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