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GaryK [48]
3 years ago
10

What is the additive inverse of 18xy?

Mathematics
2 answers:
AlladinOne [14]3 years ago
7 0
The answer to this question is A. -18xy. Good luck.
Cloud [144]3 years ago
6 0
An additive inverse is the value you can add to a given value such that the sum is "0".. 

Your answer is choice A
18xy + (-18xy) = 0   Since these are like terms.. the key here is understanding that like terms must have the same exact variables raised to the exact same powers.  We can add like terms.  We cannot add unlike terms.
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The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of
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Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

{\boxed{\sf Area=LB}}

  • Substitute the values

\hookrightarrow\sf x (6x-4)=20

\hookrightarrow\sf 6x^2-4x=20

\hookrightarrow\sf 6x^2-4x-20=0

  • Here a=6, b=-4, c=-20.
  • use quadratic formula

\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}

8 0
3 years ago
Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te
andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 30 pound

Sample mean, \bar{x} = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s =  2 pounds

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}

We use one-tailed(left) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012

Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729

Since,                    

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0
4 years ago
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Ghella [55]
For all three boxes?
6 0
3 years ago
There was a bag of counters. 45 were large! For every large counters 3/5 were small! The green was 300% than yellow, there were
madreJ [45]

Answer:

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7 0
2 years ago
9.6x10^85/3x10^63 in scientific notation
Novosadov [1.4K]

Answer:

<em>3.27*10^22</em>

Step-by-step explanation:

Given the expression 9.6x10^85/3x10^63, we are to write it on scientific notation as shown:

9.6x10^85/3x10^63

= (9.8/3) * (10^85/10^63)

= (9.8/3)  * 10^{85-63}

= (9.8/3) *10^22

= 3.27 *10^22

<em>Hence the expression in scientific notation is  3.27*10^22</em>

6 0
3 years ago
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