Find the upper bonds for the following lengths : a) 40cm measured to the nearest cmB)82.8cm measured to the nearest tenth of a cm

Answers

Answer 1

Answer:

Answer: a= 40.5 b= 82.85

Step-by-step explanation:

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Binary equivalent of decimal number 170

A tank holding 600 liters of milk is leaking. Each week it loses 60 liters of milk. Let M be the liters of milk remaining in the tank after leaking for t weeks.Is M a linear function or an exponential function?

Why?

Answers

linear, because the tank will eventually be empty. In about 10 weeks

Final answer:

The liters of milk remaining in the tank after leaking for t weeks is represented by an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent.

Explanation:

The function that represents the liters of milk remaining in the tank after leaking for t weeks is an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent. In this case, the liters of milk lost each week is constant, so the amount of milk remaining in the tank is decreasing exponentially over time.

Formula for exponential decay: M = P * (1 - r)^t, where M is the amount of milk remaining, P is the initial amount of milk, r is the rate of decay, and t is the number of weeks.

In this case, the initial amount of milk, P, is 600 liters and the rate of decay, r, is 60/600 = 0.1 (10%). So the exponential function that represents the liters of milk remaining after t weeks is M = 600 * (1 - 0.1)^t.

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The pressure, P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of a gas is initially at a pressure of 104 Pa at a volume of 108 L. If the volume is expanded to 432 L, what will the new pressure be?26 Pa
27 Pa
416 Pa
1728 Pa

Answers

The answer is 26 Pa.

The ideal gas law can be presented as:
PV = nRT
where
P - pressure of the gas,
V - volume of the gas,
n - amount of substance of gas,
R - gas constant,
T - temperature of the gas.

But, we do not need to know all of the equation members since the right side of the equation is not affected and will remain the same. It is enough the left side of the equation:

P₁V₁ = P₂V₂

It is given:

P₁ = 104 Pa

V₁ = 108 L

V₂.= 432 L

The unknown is P₂ = ?

P₁V₁ = P₂V₂.

104 Pa × 108 L = P₂ × 432 L

11,232 Pa L = P₂ × 432 L

P₂ = 11,232 Pa ÷ 432

P₂ = 26 Pa

Therefore, the new pressure will be 26 Pa.

What is 2072 divided by 86

Answers

24.0930232558 is the answer

24.09302326 is 2072 divided by 86

What number multiplied by itself 4 times equals 256

Answers

The required number that, when multiplied by itself 4 times, equals 256 is 4.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

To determine the number that, when multiplied by itself 4 times, equals 256, we can take the fourth root of 256.

The fourth root of 256 can be expressed mathematically as:

x⁴ = 256

Taking the fourth root of both sides:

x = ⁴√256

x = ⁴√(4x4x4x4)

x = 4

So the number that, when multiplied by itself 4 times, equals 256 is 4.

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The number when multiplied by itself four times, equals 256, is 4.

To find the number that, when multiplied by itself four times, equals 256, we need to find the fourth root of 256.

The fourth root of a number is the number that, when raised to the power of 4, gives the original number. Mathematically, it can be represented as:

x⁴ = 256

To solve for x, we can take the fourth root of both sides of the equation:

∛(x⁴) = ∛256

Since the fourth root (∛) is the inverse operation of raising to the power of 4, it cancels out the power of 4:

x = ∛256

Calculating the cube root (∛) of 256, we find that x equals 4:

x = 4

Therefore, the number when multiplied by itself four times, equals 256, is 4.

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Is 5/6 is greater than 10/12

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The fraction $(5)/(6)$ is the fraction, which is not greater than the fraction given as $(10)/(12)$ . They are equal.

Given are two fractions.

$(5)/(6)$ and $(10)/(12)$

It is required to find the relationship between these fractional numbers.

In order to find the relationship between two fractions, it is first required to make the denominators of the fraction equal.

Here, the denominator of one fraction is 6 and the other fraction is 12.

Since 6 is a factor of 12, multiply the numerator and the denominator by 2 to make it 12.

So, $(5)/(6)$ , can be multiplied by both the numerator and denominator to get $(10)/(12)$ So, the fractions are equal.

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NO. 5/6 is 10/12, since all your doing is multiplying the fraction 5/6 by 2 on both the denominator and the numerator to get 10/12. Since 2 is commonly multiplied, it can be factored out as well, thus leaving 5/6 = 10/12.

Use the discriminant to determine the number and type of solutions to the quadratic equation. Show all work for full credit! 2+ 8= 13