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amm1812
3 years ago
8

List three measurements

Mathematics
2 answers:
gladu [14]3 years ago
7 0
5 inches
6 centimeters
7 yards
almond37 [142]3 years ago
5 0
1 inch
5 yards
18 miles
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A rectangle or table top has a length of 4 3/4 feet in an area of 11 7/8 ft.² what is the width of the table top
KATRIN_1 [288]
If the length of the tabletop is 4 3/4 and the area is 11 7/8, then the width of the table top is 2 1/2.

To come up with this, you simply use the formula w=a/l to find the width.
w=11 7/8 / 4 3/4=2 1/2.
7 0
3 years ago
What numbers of vegetables v can he buy and stay under his spending limit?
Jet001 [13]

Answer:

$37 + ($0.75/veg.)v <$ 50

Step-by-step explanation:

Let v be the number of vegetables at $0.75/vegetable.

$37 + ($0.75/veg.)v <$ 50

4 0
3 years ago
In scientific notation,the distance is m×10n where is ..and n is..
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5 0
2 years ago
Let A = {\bullet ,\square, \bigotimes} and B = {\square,\ominus, \bullet}.
lisov135 [29]

(a) With <em>A</em> = {•, □, ⊗} and <em>B</em> = {□, ⊖, •}, we have

<em>A</em> × <em>B</em> = {(•, □), (•, ⊖), (•, •), (□, □), (□, ⊖), (□, •), (⊗, □), (⊗, ⊖), (⊗, •)}

and

<em>B</em> × <em>A</em> = {(□, •), (□, □), (□, ⊗), (⊖, •), (⊖, □), (⊖, ⊗), (•, •), (•, □), (•, ⊗)}

(b) The intersection of the two sets above is

(<em>A</em> × <em>B</em>) ∩ (<em>B</em> × <em>A</em>) = {(•, •), (•, □), (□, •), (□, □)}

Not sure what µ is supposed to represent, but I suppose you meant to again write × as in the Cartesian product. By definition, for any two sets <em>A</em> and <em>B</em>, we have

<em>A</em> × <em>B</em> = {(<em>a</em>, <em>b</em>) | <em>a</em> ∈ <em>A</em> and <em>b</em> ∈ <em>B</em>}

Then

(<em>A</em> × <em>B</em>) ∩ (<em>B</em> × <em>A</em>) = {(<em>a</em>, <em>b</em>) | <em>a</em> ∈ <em>A</em> ∩ <em>B</em> and <em>b</em> ∈ <em>A</em> ∩ <em>B</em>}

In the product found above, notice that • and □ are both elements of <em>A</em> and <em>B</em>, while ⊗ and ⊖ are exclusive to either set.

5 0
3 years ago
8. What is the domain of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D%20%2B20x%2B75%7D" id="TexFormula1" title
antiseptic1488 [7]

Answer:

8.  Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

9.  Domain: [7/13, ∞)

    Range: [1, ∞)

Step-by-step explanation:

<u>Question 8</u>

Given rational function:

f(x)=\dfrac{x}{x^2+20x+75}

Factor the denominator of the given rational function:

\implies x^2+20x+75

\implies x^2+5x+15x+75

\implies x(x+5)+15(x+5)

\implies (x+15)(x+5)

Therefore:

f(x)=\dfrac{x}{(x+15)(x+5)}

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

The function is <u>undefined</u> when the <u>denominator equals zero</u>:

x+15=0 \implies x=-15

x+5=0 \implies x=-5

Therefore, there are <u>vertical asymptotes</u> at x = -15 and x = -5.

<u>Domain</u>: set of all possible input values (x-values)

Therefore, the <u>domain of the given rational function</u> is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

---------------------------------------------------------------------------------

<u>Question 9</u>

Given function:

f(x)=\sqrt{13x-7}+1

<u>Domain</u>: set of all possible input values (x-values)

As the <u>square root of a negative number</u> is <u>undefined</u>:

\implies 13x-7\geq 0

\implies 13x\geq 7

\implies x\geq \dfrac{7}{13}

Therefore, the <u>domain of the given function</u> is:

\left[\dfrac{7}{13},\infty\right)

<u>Range</u>: set of all possible output values (y-values)

\textsf{As }\:\sqrt{13x-7}\geq 0

\implies \sqrt{13x-7}+1\geq 1

Therefore, the <u>range of the given function</u> is:

[1, ∞)

8 0
1 year ago
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