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adoni [48]
3 years ago
7

How are negative exponents and positive exponents related ?

Mathematics
2 answers:
daser333 [38]3 years ago
5 0
If it's a negative exponent for example -6 the answer would be 1/x^-6. So if x is 10. Then 10^-6 is equal to 1/10^6 (One over ten to the power of 6 or One divided by 10 to the power six)
oee [108]3 years ago
3 0

Negative or positive exponents are related by fractions.

For example, if we have a number that is raised to a negative exponent, we can write the number as the quotient between 1 and the same number raised to a positive exponent.

We have then:

a^{-b} = \frac{1}{a^b}

Answer:

negative exponents and positive exponents are related by fractions:

a^{-b} = \frac{1}{a^b}

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You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan c
Virty [35]

Answer: 286 minutes

Step-by-step explanation:

x : # of months that has gone by

0.24x : cost of the 24 cent plan after "x" minutes

39.95 + 0.10x : cost of the 10 cent plan after "x" minutes

1. 39.95 + 0.10x > 0.24x

2. 39.95 > 0.24x - 0.10x

3. 39.95 > 0.14x

4. 285.36 > x

x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal

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3 years ago
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Write 90% as a decimal and fraction in simplest form
solong [7]
90% as a decimal is .9 and then as a fraction in simplest form is 9/10
Hope it helps
5 0
3 years ago
The base of a rectangular prism has an area of 8 square meters. The height of the rectangular prism is 5 meters.
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8 0
3 years ago
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Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

5² = a² - 37²

a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

6 0
2 years ago
James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The
Brrunno [24]

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch   : 176 males, 264 females

Total number of peoples is

46+254+176+264=740

Total number of males is

46+176=222

The probability of male is

P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

176+264=440

The probability of persons who buys lunch is

P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}

P(male | buys lunch)=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}

P(male | buys lunch)=\frac{\frac{176}{740}}{\frac{22}{37}}

P(male | buys lunch)=\frac{2}{5}=0.4

Therefore the correct option is 4.

8 0
3 years ago
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