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3 years ago

According to the laws of exponents, you must______ the exponents when you are dividing by the same base. (Example: x^4/x^2)

Mathematics

2 answers:

prisoha [69]3 years ago

6 0

Answer:

B. Subtract

Step-by-step explanation:

Just like when multiplying exponents, you're really just adding them together. This is the same case, when you're "dividing" the exponents, you're really just subtracting them.

prohojiy [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Since the law of exponents says u add exponents when u multiply, then if u were dividing, u would subtract.

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blondinia [14]

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is - 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.

So, the right choices are a, c and g.

4 0

3 years ago

Can someone please work through this one question so I know what to do for the other 9? How the testing system works for me is t

Aloiza [94]

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.

Given
$(4.23\times10^{12})\div(9.0\times10^6)$

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have
$(4.23\div9.0)\times(10^{12}\div10^6)=0.47\times10^{12-6}=0.47\times10^6$

Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.

Therefore, $(4.23\times10^{12})\div(9.0\times10^6)$
in standard notation is
$4.7\times10^5$

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3 years ago

I don’t know what to do please help

Lesechka [4]

Answer:

f(2)=0

Step-by-step explanation:

You plug in 2 for any X's in the equation

f(2)=2^2-4

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3 years ago

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MA_775_DIABLO [31]

Answer: C

It is C because when there is a line at the top of the number, it is infinite and repeats many times. That number in a shorter was can be written as a fraction over 990. Two of the answer choices has 990 in it which is letters B and C. This eliminates answer choices A and D. The number that is within the dot is your numerator (645) and 990 is your denominator. Overall the answer is 645/990

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Alenkinab [10]

The given study is observational study

To gauge how strongly two variables are related to one another, correlation coefficients are used.

A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient. The values are in the -1.0 to 1.0 range. There was a measurement error in the correlation if the estimated value was larger than 1.0 or lower than -1.0. Perfect negative correlation is shown by a correlation of -1.0, and perfect positive correlation is shown by a correlation of 1.0. A correlation of 0.0 indicates that there is no linear link between the two variables' movements. Finance and investing can benefit from the usage of correlation statistics.

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2 years ago