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zvonat [6]
3 years ago
11

Find the solution to the system of equations. y= 2x + 3 (-1, [?]) ​

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

(-1, 1)

Step-by-step explanation:

plug in -1 for x

y = 2(-1) + 3

y = -2 + 3

y = 1

(-1, 1)

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One card is randomly selected from a deck of cards find the odds against drawing a seven
Stella [2.4K]

Answer:

\frac{3}{4}

Step-by-step explanation:

Probability of getting a 7 + Probability of not getting a 7 = 1.

Odds against drawing a 7 = Probability of not getting a 7.

We could calculate the probability of getting a 7 and subtract 1 from it to get the answer.

There a four sevens in a deck of card, one of each kind.

Probability of getting a 7 = $ P(7) = \frac{4}{52} = \frac{1}{13} $

$ \implies P(not \hspace{1mm} getting \hspace{1mm} a \hspace{1mm} 7) = 1 - P(7) $

$ \implies $ P(not getting a 7) $ = 1 - \frac{1}{13} = \frac{12}{13} $

4 0
4 years ago
What is the range of the function y = 2sin X?
ruslelena [56]

Answer:

Range: [-2, 2] {y | -2 ≤ y ≤ 2}

Step-by-step explanation:

The given function is y = 2sinx

We have to find the range of the given function.

Since at y-axis sine function has the variance between -1 to 1 so range of y = sinx is [-1, 1]

and if the amplitude of sine function is 2 then sine function will vary from -2 to 2 which implies that range of y = 2 sinx will be [-2, 2]

So range of y = 2sinx is [-2, 2]

7 0
2 years ago
A castle is surrounded by a circular moat which is 5 m wide
Elanso [62]

Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

  moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
2 years ago
The sum of three and twelve times a number is 363. What is the number ?
klio [65]
3+12x=363
12x=360
x=30
3 0
3 years ago
0.42 inch of rain fell in 3 hours. How many inches of rain fell per hour?
pochemuha

divide total amount (0.42) by number of hours (3)

0.42 / 3 = 0.14 inches per hour

3 0
3 years ago
Read 2 more answers
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