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2 years ago

What is the value of x?

Mathematics

1 answer:

irga5000 [103]2 years ago

5 0

The value of x in the segment is 3

<h3>How to determine the value of x?</h3>

Using the secant and segment theorem, we have:

x * (x + 21) = (x + 1) * (x + 1 + 14)

Evaluate the sum

x * (x + 21) = (x + 1) * (x + 15)

Expand

x^2 + 21x = x^2 + 15x + x + 15

Subtract x^2 from both sides

21x = 15x + x + 15

Evaluate the like terms

5x = 15

Divide both sides by 5

x = 3

Hence, the value of x is 3

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Somebody help me out

Bumek [7]

The number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. $3\pi$

To determine which number produces an irrational number when multiplied by 0.4

First and foremost, 0.4 is a rational number.

A rational number is a number that is of the form $\frac{p}{q}$ where p and q are integers and q is not equal to 0.

0.4 can be written as $\frac{4}{10}$ or $\frac{2}{5}$ , hence, it is a rational number.

Now,

Any irrational number when multiplied by a rational number other than zero will also be irrational.

Therefore, we are to determine which of the given options is an irrational number.

For option A. 3π

π is an irrational number, therefore 3π is also an irrational number

For option B. 0.444...

0.444... can be expressed as 4/9, therefore it is a rational number

For option C. $\sqrt{9}$

$\sqrt{9}$ = 3, which can be expressed as 3/1, therefore it is a rational number

For option D. $\frac{2}{7}$

$\frac{2}{7}$ is a rational number

The only irrational number among the given options is 3π

Hence, the number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. $3\pi$

Learn more here: brainly.com/question/11763957

8 0

2 years ago

Find the equation of each line and then use them to solve the system.

monitta

Answer:

Step-by-step explanation:

uhm

5 0

3 years ago

A tank contains 2 m^3 of water and 20 g of salt. Water containing a salt concentration of 2 g of salt per m^3 of water flows int

notka56 [123]

Answer:

Option E is correct.

t = In 8

Step-by-step explanation:

First of, we take the overall balance for the system,

Let V = volume of solution in the tank at any time = 2 m³ (constant)

Rate of flow into the tank = Fᵢ = 2 m³/min

Rate of flow out of the tank = F = 2 m³/min

Component balance for the concentration.

Let the initial amount of salt in the tank be Q₀ = 20g

The rate of flow of salt coming into the tank be 2 g/m³ × 2 m³/min = 4 g/min

Amount of salt in the tank, at any time = Q

Rate of flow of salt out of the tank = (Q × 2 m³/min)/V = (2Q/V) g/min

But V = 2 m³

Rate of flow of salt out of the tank = Q g/min

The balance,

Rate of Change of the amount of salt in the tank = (rate of flow of salt into the tank) - (rate of flow of salt out of the tank)

(dQ/dt) = 4 - Q

dQ/(Q - 4) = - dt

∫ dQ/(Q - 4) = ∫ - dt

Integrating the left hand side from Q₀ to Q and the right hand side from 0 to t

In [(Q - 4)/(Q₀ - 4)] = - t

In (Q - 4) - In (Q₀ - 4) = - t

In (Q - 4) = In (Q₀ - 4) - t

Q₀ = 20

In (Q - 4) = (In (16)) - t

In (Q - 4) = 2.773 - t

(Q - 4) = e⁽²•⁷⁷³ ⁻ ᵗ⁾

Q(t) = 4 + e⁽²•⁷⁷³ ⁻ ᵗ⁾

For Q to go less than or equal to 6g, we calculate the time it takes to get to 6 g of salt in the tank

In (Q - 4) = (In (16)) - t

t = In 16 - In (Q - 4)

t = In 16 - In (6 - 4)

t = In 16 - In (2)

t = In (16/2)

t = In 8

6 0

4 years ago

18, 19, 20, 20, 23, 26, 260

PSYCHO15rus [73]

Answer:

Median

Step-by-step explanation:

This set of data has an extreme outlier, which will throw off the mean. The median, on the other hand, does not change or changes minimally whether or not the outlier is there.

By default, the mean is always better, but if an outlier, such as this one, is too large, the median is better.

4 0

3 years ago

Which is independent and dependent

Mademuasel [1]

Answer:

The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. ... The dependent variable is the effect. Its value depends on changes in the independent variable.

Step-by-step explanation:

4 0

3 years ago