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1 year ago

A negative number raised to an odd power is ____ negative ?

Mathematics

2 answers:

wolverine [178]1 year ago

7 0

Answer:

always negative?

Step-by-step explanation:

-2^3=-8

kirill115 [55]1 year ago

7 0

Answer:

It is negative

Step-by-step explanation:

since you are multiplying the negative no. by itself an odd no. of times, your answer will be negative, b/c a negative no. multiplied an odd no. of times will be negative, and if it is multiplied an even no. of times it will be positive.

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Whenever 2 line or intersect at 90 the 2 lines are said to be ?

Sedaia [141]

Two lines that intersect at 90 degrees are considered perpendicular to each other.

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3 years ago

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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio

JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

$Initial =1\ million$

$6\ years\ later = 500,000$

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

$\frac{dA}{dt} = kA$

Where k represents the constant of proportionality

$\frac{dA}{dt} = kA$

Multiply both sides by dt/A

$\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}$

$\frac{dA}{A} = k\ dt$

Integrate both sides

$\int\ {\frac{dA}{A} = \int\ {k\ dt}$

$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

$t = 0\ when\ A =1\ million$ i.e. At initial

So, we have:

$A = Ce^{kt}$

$1000000 = Ce^{k*0}$

$1000000 = Ce^{0}$

$1000000 = C*1$

$1000000 = C$

$C =1000000$

Substitute $C =1000000$ in $A = Ce^{kt}$

$A = 1000000e^{kt}$

To solve for k;

$6\ years\ later = 500,000$

i.e.

$t = 6\ A = 500000$

So:

$500000= 1000000e^{k*6}$

Divide both sides by 1000000

$0.5= e^{k*6}$

Take natural logarithm (ln) of both sides

$ln(0.5) = ln(e^{k*6})$

$ln(0.5) = k*6$

Solve for k

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

$k = -0.1155$

Recall that:

$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

$A = 600000$

The rate is:

$\frac{dA}{dt} = -0.1155 * 600000$

$\frac{dA}{dt} = -69300$

Hence, the amount of oil was decreasing at 69300 barrels, yearly

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2 years ago

How do you find the average rate of change for f(x)=9-x^2 between two points: x=0 to x=3?

ICE Princess25 [194]

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

$f(x)=9-x^2$

And we want to find the average rate of change from x = 0 to x = 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at x = 0, our function evaluates to:

$f(0)=9-(0)^2=9$

So, our first point is (0, 9).

For our second endpoint at x = 3, our function evaluates to :

$f(x)=9-(3)^2=0$

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

$\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3$

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2 years ago

Evaluate the expression for c = 3 and d = -1 cd2

asambeis [7]

Answer: 3

Step-by-step explanation:

3(-1)^2

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2 years ago

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igor_vitrenko [27]

A Coca-Cola bottle is roughly a cylinder, so you would do the formula below.

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2 years ago