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aniked [119]
3 years ago
6

Simplify.

Mathematics
1 answer:
pantera1 [17]3 years ago
7 0
-12 + 9 - (-3) - 11

Remember PEMDAS: This is the order of operation.
P-Paragrahp
E-Exponent
M-Multiply
D-Divide
A-Add
S-Subtract

1st step: PEM
-(-3) is actually -1 * -3 = + 3

-12 + 9 + 3 - 11

2nd step: D is not possible, so we do A.
9 + 3 = 12

3rd Step: Subtract
12 - 12 - 11 = 0 - 11 = -11 CHOICE B. 

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Evaluate 4a + 7b + 3a − 2b for a = 5 and b = −3.
blsea [12.9K]

Answer:

<h2>20</h2>

Step-by-step explanation:

4a+7b+3a-2b\qquad\text{combine like terms}\\\\=(4a+3a)+(7b-2b)\\\\=7a+5b\qquad\text{put a = 5 and b = -3 to the expression}\\\\7(5)+5(-3)=35-15=20

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Write the equation of the line in slope-intercept form passing through the points (-4,2) and (1,12)
alexira [117]

Answer:

y = 2x + 10

Step-by-step explanation:

Find the slope:

12 - 2 / 1 - (-4)

10 / 5 = 2

Write in point-slope form:

y - 12 = 2(x - 1)

rearrange:

y - 12 = 2x - 2

y = 2x + 10

6 0
3 years ago
Complete the sentence ​
ryzh [129]

Answer: b, d

Step-by-step explanation:

Corresponding angles are formed when two parallel  straight lines are cut by a transversal

\angle b=62^{\circ}

In the figure, \angle d\ \text{and}\ 62^{\circ} are alternate angle

\therefore \angle d=62^{\circ}

3 0
2 years ago
Which is expression is equivalent to 4b
GalinKa [24]

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterl
dusya [7]

There is a missing content in the question.

After the statements and before the the options given; there is an omitted content which says:

Referring to Table 16-5, in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000. Which of the following is the best interpretation of this result?

Answer:

C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).

Step-by-step explanation:

From the given question:

The resulting regression equation can be represented as:

\hat Y = 3.37 + 0.117 X - 0.083 Q_1 + 1.28 Q_2 + 0.617Q_3

where;

the estimated number of contracts in a quarter X is the coded quarterly value with X = 0

the first quarter of 2010 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise

Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise

Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise

Our null and alternative hypothesis can be stated as;

Null hypothesis :

H_0 :  The quarterly growth rate in the number of contracts is not  significantly different from 0% (? = 0.05)

H_a:  The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From the missing omitted part we added above; we can see that the   t-statistics value = 9.08 and the p-value = 0.000 .

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

4 0
3 years ago
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