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4 years ago

How would you write 6 × 6 × 6 × 6 as an exponential expression?

Mathematics

2 answers:

avanturin [10]4 years ago

6 0

How to write exponents:

The physical number shown is the base (b). How many of b there are is the exponent (e)

$b^{e}$

The number shown is six so that will be the base (b), and there are four six so the exponent will be four:

$6^{4}$

Hope this helped!

lesya692 [45]4 years ago

4 0

Answer:

6⁴ there i hope this helps dude

Step-by-step explanation:

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What is 7/8 + 1/2 as a fraction

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Answer:

11/8 is the answer as a fraction

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Ryan is planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 plus an additional & 5.25 p

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3 years ago

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Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: Wh

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Answer: 0.064

Step-by-step explanation:

Binomial probability formula :-

$P(X)=^nC_x \ p^x\ (1-p)^{n-x}$ , where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.

Given : The proportion of the homes constructed in the Quail Creek area include a security system : $p=0.40$

Now, if three homes are selected at random, then the probability all three of the selected homes have a security system is given by :-

$P(3)=^3C_3 \ (0.40)^3\ (1-0.40)^{3-3}\\\\=(0.40)^3=0.064$

Hence, the probability all three of the selected homes have a security system = 0.064

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3 years ago

A guy wire to a tower makes a 71° angle with level ground. At a point 36 ft farther from the tower than the wire but on the same

lilavasa [31]

The length of the wire is 37.15 ft

<u>Explanation:</u>

The figure is attached for the reference.

tan (71) = $\frac{y}{x}$

tan (36) = $\frac{y}{36+x}$

So,

tan(36) (36 + x) = y

tan(71) = $\frac{tan (36) (36 + x )}{x}$

$2.9 = \frac{0.73 (36 + x)}{x} \\\\2.9 x = 26.28 + 0.73x\\\\2.17x = 26.28\\\\x = 12.11 ft$

Substituting x = 12.11 ft in equation 1:

$tan (71) = \frac{y}{12.11} \\\\2.9 X 12.11 = y\\\\y = 35.119 ft$

Length of the wire, z = $\sqrt{x^2 + y^2}$

So,

$z = \sqrt{(12.11)^2 + (35.119)^2} \\\\z = \sqrt{146.6521 + 1233.3442} \\\\z = 37.15 ft$

Therefore, the length of the wire is 37.15 ft

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3 years ago

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