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zalisa [80]
2 years ago
9

A rectangular garden has a length of (3x + 30) units and a width of (x + 20) units. The garden also consists of a walkway, which

has an area of (x2 + 30x + 200) square units. Complete the polynomial expression that represents the total planting area in the garden.
Mathematics
2 answers:
denis23 [38]2 years ago
7 0
2x^2 + 60x + 400

If you multiply the first two equations to find the total area of the garden, then you can subtract the size of the path from tha and then you'll have your answer.... Math is the best thing ever
WARRIOR [948]2 years ago
4 0

Answer:

2x^2+60x+400

Step-by-step explanation:

First we have to find the total area of the garden then:

(3x+30)(x+20)=3x^2+60x+30x+20=3x^2+90x+600

Now we just have to substract the walkway area tha is x^2+30+200 then:

3x^2+90x+600-(x^2+30x+200)=3x^2+90x+600-x^2-30x-200)=

2x^2+60x+400

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Allen is given three lengths of rope: 4 feet, 8 feet, and 15 feet. Can Allen form a triangle with side lengths of 4 feet, 8 feet
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B) No, set of side lengths does not satisfy Triangle Inequality Theorem

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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

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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 .

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

4 0
3 years ago
Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.
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