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tino4ka555 [31]
3 years ago
6

Explain a thought process you might use when trying to find the additive or multiplicative inverse of a number or expression. ..

.?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0
Definition of additive inverse.- If two numbers are added together and the sum is zero, they are the additive inverse of each other. 


<span>......................................... IF A + B = 0 , they are the additive inverse of each other. 
</span>

<span>Multiplicative Inverse.- If two numbers are multiplied together and the product is one. They are the multiplicative inverse of each other, also called reciprocal. </span>

<span>......................................... A.B = 1 , they are the multiplicative inverse of each other. 
</span>

<span>Example of: </span>

<span>Additive inverses :................ 5 + ( - 5 ) = 0 </span>

<span>Multiplicative inverses...........5 x 1/5 = 1 </span>
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Match the equations with their solutions over the interval [0, 2π].
nignag [31]

I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs are:

cos(x)tan(x) – ½ = 0 → π/6 and 5π/6

cos(π/6)tan(π/6) – ½ = 0

cos(5π/6)tan(5π/6) – ½ = 0

 

sec(x)cot(x) + 2 = 0 → 7π/6 and 11π/6

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sin(x)cot(x) + 1/sqrt2 = 0 → 3π/4 and 5π/4

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csc(x)tan(x) – 2 = 0 → π/3 and 5π/3

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5 0
3 years ago
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A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than
PilotLPTM [1.2K]

Answer:

A) 2.58

B) 1.96

C) 1.65

Step-by-step explanation:

A hypothesis used to test that

H_o : \mu  = 10

against the alternatives H1 : \mu not equal to 10

if null hypothesis is true, then distribution of test statics follow

Zo = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

for two sided alternatives  hypothesis ( H1: \mu \neq 7), then P value is

P = 2[1- \phi(\left | Zc \right |)]                          (1)

a)significance level  \alpha = 0.01

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo

Therefore  \left | Zc \right | = 2.58    FROM Z TABLE

B) significance level  \alpha = 0.05

from 1st equation we get

\pi (\left | Zc \right |) = P(Zo < \left | Zc \right |) = 1 - \frac{0.05}{2}  = 0.975

Therefore  \left | Zc \right | = 1.96    FROM Z TABLE

C) significance level  \alpha = 0.10

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo

Therefore  \left | Zc \right | = 1.65    FROM Z TABLE

3 0
3 years ago
Find the product.
Harrizon [31]

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2 years ago
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Which equation can be used to find V, the volume of the cylinder in cubic inches?
Ann [662]

Answer:

V = Bh, where B represents the area of the base of the cylinder.

Step-by-step explanation:

A cylinder and its dimensions are shown below. One equation for calculating the volume of a cylinder is V = Bh, where B represents the area of the base of the cylinder

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3 years ago
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