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2 years ago

Which choice represents the fraction below as a single exponential

Mathematics

2 answers:

lions [1.4K]2 years ago

5 0

The correct value of this expression is 8⁵

A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.

<h3>Resolution </h3>

= 8⁸/8³
= 8⁸÷³
= 8⁵

Therefore, the answer correct is 8⁵

Vladimir [108]2 years ago

4 0

Answer:

8^5

Step-by-step explanation:

division is just minusing exponents

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A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 6 1/4 °F. The submarine dive

Whitepunk [10]

Step-by-step explanation:

At the elevation 617.5 feet below the sea level temperature of the water was °F

Step-by-step explanation:

At 502.5 feet below the sea level temperature of the water is °F

When submarine dives down 115 feet deeper, water temperature drops by °F

Elevation after the submarine dove = -502.5 - 115 = -617.5 feet

This negative sign represents the elevation below the sea level.

And the temperature will be =

= °F

Therefore, at the elevation 617.5 feet below the sea level temperature of the water was °F

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3 years ago

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A bacteria culture starts with three cells. Each cell in this culture doubles every hour. After t hours, the

spin [16.1K]

I’m pretty sure it’s d because 2 is how much the cells have multiplied by hour say you started with 3 and it been three hours you would have 24 cells because it double the amount every time 3*2=6*2=12*2=24

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3 years ago

The ratio of men to women working for a company is 4 to 5. if there are 52 men working for the company, what is the total number

weqwewe [10]

4:5 means that 52/4= 13 and 13 x 5=65 so there are 65 female employees so when you add 52+65=117
so 117 employees

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3 years ago

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Nat2105 [25]

For the first one the slope is 0.5
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6 0

3 years ago

a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the bar

xenn [34]

The constraint for the maximum enclosed area is the amount the farmer is

willing to spend on fencing.

The width of the plot that will give the most area, y = 83. $\underline{\overline 3}$ feet

The length of the plot that will give the most area, y = 125 feet

Reasons:

The given parameters are;

The cost of fencing per foot = $20

The maximum amount the farmer is willing to spend = $5000

Number of sides of fencing = 3 sides

Cost of the west side of the = Split with neighbor

Solution:

Let, y, represent the length of the fence, and let x represent the width of

the fence, we have;

Length of fence required = y + 2·x

Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x

Therefore;

Maximum amount to be spent on the fence, 5000 = 20·y + 30·x

$\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x$

$y = \mathbf{250 - \dfrac{3}{2} \cdot x}$

Area of a rectangle = Length × Width

The enclosed rectangular area of the fencing, A = y × x

$\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2$

$\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}$

The leading coefficient of the quadratic function of the area is negative,

therefore, the function only has a maximum point.

At the point of the most area, the slope, $\dfrac{dA}{dx} = 0$

Finding the value of x at the maximum point, we get;

$\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0$

Therefore;

$\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}$

$\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125$

The length of the plot that will give the most area, y = 125 feet

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brainly.com/question/16337916

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6 0

3 years ago