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2 years ago

15. An equilateral triangle has side lengths that

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

5 0

Answer:

a) 3(1.2x - 8) or 3.6x - 24

3(1.2x - 8) = 12

1.2x - 8 = 4

1.2x = 12

x = 12/1.2

= 10

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The measurement of the edge of a cube is measured to be 12 inches, with a possible error of 0.03 inch. Use differentials to appr

adoni [48]

Answer:

A) possible error = 12.992

Possible values for the volume [1715,007,1740.992]

B) possible error = 4.325

Possible values for the surface area [859,675,868,325]

Step-by-step explanation:

The volumen of a cube is the cube of the length of a side. Thus, the meassurement of the volume is 12³ = 1728 inches³. To calculate the error, lets call Y the real value of the length,

Y = X + e, where e is the error and X = 12.

Y³ = (X+e)³ = X³ + 3X²e + 3Xe² + e³

the error is 0.03 inches, so we have that

Y³ = X³ + 12.96+0.0324+ 0.000027 = X³+12.992427 = X³+12.992 (rounded to 3 decimal places).

Thus, the absolute possible error is Y³- X³ = 12.992, and the volume of the cube is contained in the interval [X³-12.992,X³+12.992] = [1715,007,1740.992]

B) The surface area is 6 X². With X meassured as 12, the surface area is meassured by 6*12² = 864.

To calculate the absolute error, we take Y = X+e, with X and e as before. We have

6 Y² = 6*(X+e)² = 6X²+12Xe+6e² = 6X²+4.32+0.0054 = 6X²+4.3254

Hence, the absolute error is bounded by 6Y²-6X² = 4.3254 rounded by 4.325, and the value of the surface area is contained in the interval [6X² -4.325, 6X²+4.325] = [859,675, 868,325]

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3 years ago

The initial count of a certain type of bacteria in a culture is 350. If the bacteria grows at the rate of 20% per hour, which

Serjik [45]

Answer:

Step-by-step explanation:

$\frac{20}{100}*350=70$

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DO U HAVE SUPER VISION?

Kitty [74]

Answer:

Step-by-step explanation:

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3 years ago

Which choices are real numbers? Check all that apply. (-22)½ (-16)⅓ (-16)⅕ (-10)¼

8_murik_8 [283]

$(-22)^{\frac{1}{2}}$ and $(-10)^{\frac{1}{4}}$ are not real numbers

<h3><u>Solution:</u></h3>

A real number is any positive or negative number. This includes all integers and all rational and irrational numbers

They are called "Real Numbers" because they are not Imaginary Numbers.

When you take an even root of a negative number, there is no real answer. (2 is an even number)

In the real number set, you can't take an even-indexed root of a negative number.

Given options are:

$\begin{array}{l}{\text { A) }(-22)^{\frac{1}{2}}} \\\\ {\text { B) }(-16)^{\frac{1}{3}}} \\\\ {\text { C) }(-16)^{\frac{1}{5}}} \\\\ {\text { D) }(-10)^{\frac{1}{4}}}\end{array}$

Looking at the answer choices here, we can see that A and D use even roots, so they will give non-real answers.

Thus $(-22)^{\frac{1}{2}}$ and $(-10)^{\frac{1}{4}}$ are not real numbers

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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 6 feet and

artcher [175]

Answer:

Step-by-step explanation:

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4 years ago