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2 months ago

13

. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf

measured 3 feet 2 inches wide. What is the length of the remaining piece of board?

1 answer:

tester [12.3K]2 months ago

3 0

The length of the remaining piece measures 2 feet and 3 inches.

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2. Which of the following relations is/are function/s?

Svet_ta [12734]

B. and D. represent functions

4 0

2 months ago

Jenny multiplies the square root of her favorite positive integer by $\sqrt{2}$. Her product is an integer. a) Name three number

tester [12383]

Answer:Part a) $2,50,18$

Part b) When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , the result is an integer.

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For $x=2$

$\sqrt{2}*\sqrt{2}=\sqrt{4}=2$ -----> the product results in an integer

thus

The number $x=2$ could potentially be Jenny's favorite positive integer

2) For $x=50$

$\sqrt{50}*\sqrt{2}=\sqrt{100}=10$ -----> the product results in an integer

thus

The number $x=50$ could potentially be Jenny's favorite positive integer

3) For $x=18$

$\sqrt{18}*\sqrt{2}=\sqrt{36}=6$ -----> the product results in an integer

thus

The number $x=18$ could potentially be Jenny's favorite positive integer

Part B)

1) For $x=2$

$\sqrt{2}/\sqrt{2}=\sqrt{1}=1$ -----> the outcome is an integer

2) For $x=50$

$\sqrt{50}/\sqrt{2}=\sqrt{25}=5$ -----> the outcome is an integer

3) For $x=18$

$\sqrt{18}/\sqrt{2}=\sqrt{9}=3$ -----> the outcome is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she obtains an integer as a result.

4 0

1 month ago

At the Zamenhof Language School, at least 70% of the students take English each year, at least 40% take German each year, and be

PIT_PIT [12445]

Answer:

(C) 10% to 70%(

Step-by-step explanation:

Given that at least 40% of the students are learning German, the upper limit of those who might be enrolled in English but not in German is 60%. However, since a minimum of 70% study English, it leads to the conclusion that at least 10% of students must be taking both German and English.

If we consider that at least 30% of students are learning Italian, and assuming that no student is studying all three languages simultaneously, then there is a maximum of 70% of students who could potentially be registered in both English and German.

This means the possible percentage for students enrolled in both English and German ranges from 10% to 70%

8 0

3 months ago

A quarterback looks downfield at a receiver who is 14 yards away. The receiver is covered, so the quarterback turns 30° to his r

Zina [12379]

Your answer will be C.

8 0

2 months ago

Read 3 more answers

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section

AnnZ [12381]

y2 = C1xe^(4x) Step-by-step explanation: Knowing that y1 = e^(4x) satisfies the differential equation y'' - 8y' + 16y = 0, we need to derive the second solution y2 using the reduction of order technique. Let y2 = uy1. Since y2 is a solution to the differential equation, it holds that y2'' - 8y2' + 16y2 = 0. By substituting for y2, its derivatives become y2 = ue^(4x), y2' = u'e^(4x) + 4ue^(4x), and y2'' = u''e^(4x) + 8u'e^(4x) + 16ue^(4x). Plugging these into the differential equation gives us u''e^(4x) = 0. Let w = u', so w' = u''. This results in w' e^(4x) = 0, leading to w' = 0. Integrating gives w = C1. Since w = u', this implies u' = C1, and integrating once more results in u = C1x. Therefore, y2 = ue^(4x) becomes y2 = C1xe^(4x), which is the second solution.

5 0

2 months ago