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8_murik_8 [283]
3 years ago
6

Gomez found the masses of three rocks for a science project. the first rock had a mass of 19.28 grams, the second rock had a mas

s of 25.3 grams, and the third rock had a mass of 46.3 grams. how much greater was the mass of the third rock than the combined mass of the other two rocks?
Mathematics
1 answer:
defon3 years ago
8 0
The combined mass of the other two rocks is just their masses added together:
19.28 + 25.3= 44.58

To find how much greater the third rock is, just subtract:
46.3 - 44.58= 1.72

Answer: 1.72 grams greater 

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QUESTION 1:
Romashka [77]

Q1

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... 5x - 2y = 5(6) - 2(16) = -2

Solving for y (to get slope-intercept form), we find

... y = (5/2)x + 1 . . . . . matches selection C

Q2

The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)

Q3

See Q1 for an explanation. The appropriate choice is ...

... B. 4x - 3y = 5

Q4

The given line has slope -2, so you can eliminate all choices except ...

... D. -2x

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The two lines have the same slope (3), but different intercepts, so they are ...

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8 0
3 years ago
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if sec theta equals negative 5/3, such that 180° <thata<270° then determine what is tan theta ?
Svetllana [295]
I hope this makes sense, if not please feel free to let me know and I'll explain it. 

4 0
3 years ago
What is the distance between -2 and 5
Vlad [161]

Answer:

7

Step-by-step explanation:

To find distance on a number line you add and 2+5=7

4 0
3 years ago
The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand
alexira [117]

Answer:

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }  

            t = <em>1.076</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given Mean of the Population (μ) = 8.0

<em>Mean of the sample (x⁻) = 8.25</em>

Given data

                  8,9,9,8,8,9,8,7

Given sample size  n= 8

Given sample standard deviation(S) = 0.661

<u><em>Step(ii):-</em></u>

<em>Null hypothesis : H:  (μ) = 8.0</em>

<em>Alternative Hypothesis :H:(μ) > 8.0</em>

<em>Degrees of freedom = n-1 = 8-1=7</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }<em></em>

<em>              </em>t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }<em></em>

<em>            t =  1.076</em>

<em>Critical value </em>

<em>                    t₍₇,₀.₀₅₎   = 2.3646</em>

<em>The calculated value   t =  1.076 < 2.3646 at 0.05 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>

<em></em>

3 0
3 years ago
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
Tema [17]

For this case we have the following equation:

1 + 3x = -x + 4

We must solve the equation by following the steps below:

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3x = -x + 4-1

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We divide between 4 on both sides of the equation:

x = \frac {3} {4}

Thus, the correct option is option B

Answer:

x = \frac {3} {4}

Option B

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