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3 years ago

Which is the domain of the function f(x) = -5/6(3/5)x ?

Mathematics

1 answer:

Ghella [55]3 years ago

8 0

The domain would be (negaive infinity, positive infinity)

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Graph the point (5, 0) on the coordinate plane.

gavmur [86]

Answer:

it just be positive 5

Step-by-step explanation:

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2 years ago

You are dealt two cards successfuly without replacement from a shuffled deck of 52 playing card. Find the probability that first

katen-ka-za [31]

The simplified expression is $(\frac{4}{663})$

Step-by-step explanation:

Here, the total number of cards in a given deck = 52

let E : Event of drawing a first card which is King

Total number of kings in the given deck = 4

So, $P(E) = \frac{\textrm{The total number of king}}{\textrm{The total number of cards}}$ = $\frac{4}{52} = (\frac{1}{13} )$

Now, as the picked card is NOT REPLACED,

So, now the total number of cards = 52 - 1 = 51

Total number of queen in the deck is same as before = 13

let K : Event of drawing a second card which is queen

So, $P(K) = \frac{\textrm{The total number of queen}}{\textrm{The total number of cards}}$ = $(\frac{4}{51} )$

Now, the combined probability of picking first card as king and second as queen = P(E) x P(K) = $(\frac{1}{13}) \times(\frac{4}{51}) = (\frac{4}{663} )$

Hence, the simplified expression is $(\frac{4}{663})$

6 0

2 years ago

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E. The captain then turns the boat 90° and travels

Serga [27]

Answer:

Step-by-step explanation:

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.

Displacement in vector form

= 28 cos43 i + 28sin43j

= 20.47 i + 19.1 j

The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E

Displacement

= 15 cos47 i - 15 sin47 j

= 10.22 i - 10.97 j

Total displacement

= 20.47 i + 19.1 j + 10.22 i - 10.97 j

= 30.69 i - 8.13 j

Magnitude of displacement

= 31.75 miles

Angle with east direction

TanФ = - 8.13 / 30.69

Ф = 15 degree south of east.

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2 years ago

What is this as a slope?

Fofino [41]

Answer:

5/4

Step-by-step explanation:

Using coordinates (10,0) and (90,100)

Slope m = (y2-y1)/(x2-x1)

m = (100 - 0)/(90 - 10) = 100/80 = 10/8 = 5/4

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2 years ago

Arjun has to stick by his budget. his salary is $112,000 after taxes. he divides his

geniusboy [140]

I hope this helps you :)

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2 years ago