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3 years ago

I need to know how to solve for the value of x

Mathematics

1 answer:

dimulka [17.4K]3 years ago

8 0

Hey Katie

4^2x+3 = 1
We need to solve for x

log(4^2x+3) = log (1)
Now take log of
(2x +3) * log (4) = log (1)
2x + 3 = log(1)/log(4)
2x + 3 = 0
2x = 0 - 3
2x = -3
x = -3/2

I hope that's help !

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In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3

Natasha_Volkova [10]

Answer:

87.6m²

Step-by-step explanation:

From the above question, we are given the following information

The dimensions of the base were 3 m by 5 m:

Length = 3m

Width = 5m

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Height = 3.6m

To calculate the amount of ice needed for this sculpture, we would have to find the Surface Area of the Rectangular Prism

This is calculated as:

Surface Area =2(wl+hl+hw)

= 2(3 × 5 + 3.6 × 3 + 3.6 × 5)

= 2(15 + 10.8 + 18)

= 2(43.8)

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6 0

3 years ago

The heights of 10 year old children has a normal probability distribution with mean of 54.6 inches and standard deviation of 5.7

Fofino [41]

Answer:

a) 0.69

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

Step-by-step explanation:

Step(i):-

Given mean of the Population = 54.6 inches

Given standard deviation of the Population = 5.7 inches

Let 'X' be the random variable of normal distribution

Let 'X' = 51.75 inches

$Z = \frac{x-mean}{S.D} = \frac{51.75-54.6}{5.7} = -0.5$

Step(ii):-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = P(Z>-0.5)

= 1 - P( Z < -0.5)

= 1 - (0.5 - A(-0.5))

= 1 -0.5 + A(-0.5)

= 0.5 + A(0.5) (∵A(-0.5)= A(0.5)

= 0.5 +0.1915

= 0.6915

Conclusion:-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

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3 years ago

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Anna007 [38]

Would be the answer 16

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3 years ago

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aliya0001 [1]

Answer:

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Step-by-step explanation:

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Answer:

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