In this particular arithmetic sequence, a8 = 28 and a16 = 108. What is the value of a24?

What is 584 divided by 73

aev [14]

It is 8 because you divided it

5 0

3 years ago

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What is the simplified form of the following expression?

USPshnik [31]

Option C:

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

Solution:

Given expression is

$$\sqrt[3]{\frac{4 x}{5}}$

Note: $\sqrt[3]{125}=\sqrt[3]{{5^3}} = 5$

To find the correct expression for the above simplified expression.

Option A: $\frac{\sqrt[3]{4 x}}{5}$

5 can be written as $\sqrt[3]{125}$ .

$$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{4x}{125} }$

It is not the given simplified expression.

Option B: $\frac{\sqrt[3]{20 x}}{5}$

$$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{20x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4x}{25} }$

It is not the given simplified expression.

Option C: $\frac{\sqrt[3]{100 x}}{5}$

$$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{100x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4 x}{5}}$

It is the given simplified expression.

Option D: $\frac{\sqrt[3]{100 x}}{125}$

$$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}$

It is not the given simplified expression.

Hence Option C is the correct answer.

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

3 0

3 years ago

Un móvil azul de 573 g se encuentra en movimiento sobre un carril metálico. Si sobre el móvil, el resorte ejerce una fuerza haci

ad-work [718]

Answer:

The total mechanical energy is 0.712 J.

Step-by-step explanation:

A blue 573 g mobile is moving on a metal rail. If on the mobile, the spring exerts a force to the right of modulus 0.85 N and in the indicated position the kinetic energy of the mobile-spring system is 0.47 J and its elastic potential energy is 0.242 J. Determine the mechanical energy of the system mobile-spring in the position shown as indicated in the figure.

The total mechanical energy is given by the sum of the kinetic energy and the potential energy.

Kinetic energy = 0.47 J

Potential energy = 0.242 J

The total mechanical energy is

T = 0.47 + 0.242 = 0.712 J

4 0

3 years ago

While on a stakeout protecting Earth from the the universe, Agent K observed five men in black enter a coffee shop and get three

taurus [48]

Answer:

$ 0.8.

Step-by-step explanation:

1) if to assume, 'c' - price of the coffee and 'd' - price of the doughnuts, then

2) it is possible to write the equation 1 (when five MinB enter): 3d+5c=3.3;

3) it is possible to write the equation 2 (when three aliens entered): 4d+3c=2.75;

$4) \ \left \{ {{3d+5c=3.3} \atop {4d+3c=2.75}} \right. \ = > \ \left \{ {{c=0.45} \atop {d=0.35}} \right.$

5) if c=0.45 and d=0.35, then Ag.Z. paid 0.35+0.45=$ 0.8.

3 0

2 years ago

Which sentence is the most accurate definition of an identity?

olga2289 [7]

The <em>correct answer</em> is:

An identity is an equation that is true for all real numbers.

Explanation:

An identity is a mathematical statement that is always true. It does not matter what numbers you substitute in for the variables, the result will be the same.

7 0

3 years ago

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