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4 years ago

10

Which of the relations given by the following sets of ordered pairs is a function?

1 answer:

solniwko [45]4 years ago

8 0

Answer:

B

Step-by-step explanation:

You can solve this by using the vertical line test. When you do the vertical line test, the vertical line should only pass through one point on the function. That means that there can to be only one value of x for every y. Set B is the only set where the x value doesn't repeat.

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the greatest volcanic eruption in recorded history took place in 1815 on the indonesian island of sumbawa, when the volcano tamb

algol [13]

Answer:

$166\frac{2}{3}\ m$

Step-by-step explanation:

Let

x ----> the average depth of the resulting layers of ash and rock

we know that

To find out the average depth, divide the cubic kilometers of molten rock by the area where all the ejected material fell.

so

$\frac{100\ km^3}{600\ km^2}=\frac{1}{6}\ km$

Convert to meters

Remember that

$1\ km=1,000\ m$

so

$\frac{1}{6}\ km=\frac{1}{6}(1,000)=\frac{1,000}{6}=\frac{500}{3}\ m$

Convert to mixed number

$\frac{500}{3}\ m=\frac{498}{3}+\frac{2}{3}=166\frac{2}{3}\ m$

7 0

3 years ago

What statement is used to prove quadrilateral ABCD is a parallelogram

Nookie1986 [14]

Answer:

I believe D is the answer. (Triangles BPA and DPC are congruent.)

Angles BAD and ADC are not congruent.

Sides CD and DA are also not congruent

3 0

3 years ago

Read 2 more answers

An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

<u>For bulb </u><u>box</u><u> </u><u>the </u><u>d</u><u>imensions</u><u> </u><u>are:</u>

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

<u>For </u><u>Carton </u><u>the dimensions are</u><u>:</u>

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

3 0

2 years ago

Brent has a collection of 84 Bobble Head trophies he needs to box up for the move to his new home. He can fit 7 trophies into on

Alina [70]

$\displaystyle \frac{84\,\text{trophies}}{\left(\frac{7\,\text{trophies}}{\text{box}}\right)}=\frac{84}{7}\,\text{box}\\\\=12\,\text{box}$

Brent will need 12 boxes.

7 0

3 years ago

Quadrilateral ABCD has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to AB

fomenos

One pair of opposite sides both parallel and congruent implies a parallelogram.

6 0

3 years ago

Read 2 more answers