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Mashcka [7]
3 years ago
8

Which point is on the graph of a direct variation equation in which k=0.4?

Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer:

B. (10,4)

Step-by-step explanation:

Let x be the independent variable and y represents the dependent variable in the graph,

∵Graph represents the direct variation,

⇒ y ∝ x

⇒ y = kx

Where, k is the proportionality constant.

Here, k = 0.4,

⇒ Equation that shows in the graph would be,

y = 0.4x

At (4, 10),

10 = 0.4(4) ( False ),

⇒ (4, 10) is not in the graph.

At (10, 4),

4 = 0.4(10) ( True )

⇒ (10, 4) is on the graph.

At (0.04, 10),

10 = 0.4(0.04) ( false )

⇒ (0.04, 10) is not on the graph.

At (10, 0.04),

0.04 = 0.4(10) ( false )

⇒ (10, 0.04) is not on the graph.

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3 years ago
A ruler is 12 inches long.what is the length of this ruler in centimeters
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3 years ago
Read 2 more answers
Which of the pairs of events below is mutually exclusive?
Nady [450]

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

3 0
3 years ago
A pizza parlor offers 10 toppings. How many 3-topping pizzas could they put on their menu? Assume double toppings are not allowe
andreev551 [17]

Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.

Given 10 toppings

10C3 =10!/3! 7! =120

10P5 =10!/5! =30240 ways

A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.

In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.

The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.

Learn more about combination here: brainly.com/question/11732255

#SPJ4

8 0
2 years ago
A meal costs $30 before tax and tip.
Korolek [52]

Answer:

33.48

Step-by-step explanation:

30*0.07=2.10

30-2.10=27.90

27.90*0.20=5.58

27.90+5.58

33.48

5 0
3 years ago
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