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deff fn [24]
3 years ago
8

Consider the equations y = VI and y

Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

x = 2.62 and x = 0.381

Step-by-step explanation:

y = \sqrt x\\

y = x  - 1

Required

y, when they are equal.

To do this, we set them to another

\sqrt{x} = x - 1

Square both sides

x  = (x - 1)^2

Expand

x = x^2 - 2x + 1

Collect like terms

x^2 -x-2x+1 = 0

x^2 - 3x + 1 = 0

Using quadratic formula

x = 2.62 and x = 0.381

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A set of scales is used to show that two lemons and seven tomatoes are required
Darya [45]

Answer:

8 tomatoes are required to balance 1 cabbage

Step-by-step explanation:

Given :

Two lemons and seven tomatoes are required  to balance one cabbage:

2 Lemons + 7 tomatoes = 1 cabbage                 (equation 1)

two lemons balance one tomato

2 lemons = 1 tomato

put in equation 1:

1 tomato + 7 tomatoes = 1 cabbage

8 tomatoes = 1 cabbage

<u><em>8 tomatoes required to balance one cabbage</em></u>

7 0
3 years ago
What is the total number of outcomes in the sample space for Tossing a coin and spinning a spinner with 5 equal sections
tangare [24]
2/5 i believe 
because a coin has two sides ( heads or tails) then the spinner is 5 equal sections so 2/5 <3
hope it helps

7 0
4 years ago
Koalas sleep for 20hours a day. For what fraction of a day do koalas sleep?
vagabundo [1.1K]

Answer:

5/6

Step-by-step explanation:

There are 24 hours a day and a koala sleeps for 20 hours of it:

20/24

5/6

5 0
3 years ago
Read 2 more answers
An urn contains nine red and one blue balls. A second urn contains one red and five blue balls. One ball is removed from each ur
il63 [147K]

Answer:

0.362

Step-by-step explanation:

When drawing randomly from the 1st and 2nd urn, 4 case scenarios may happen:

- Red ball is drawn from the 1st urn with a probability of 9/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this case to happen is (9/10)*(1/6) = 9/60 = 3/20 or 0.15. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 5 blue)/(8 red + 1 blue + 5 blue) = 6/14 = 3/7.

- Red ball is drawn from the 1st urn with a probability of 9/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (9/10)*(5/6) = 45/60 = 3/4 or 0.75. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 4 blue)/(8 red + 1 blue + 1 red + 4 blue) = 5/14

- Blue ball is drawn from the 1st urn with a probability of 1/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (1/10)*(5/6) = 5/60 = 1/12. The probability that a ball drawn randomly from the third urn is blue given this scenario is (4 blue)/(9 red + 1 red + 4 blue) = 4/14 = 2/7

- Blue ball is drawn from the 1st urn with a probability of 1/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this event to happen is (1/10)*(1/6) = 1/60. The probability that a ball drawn randomly from the third urn is blue given this scenario is (5 blue)/(9 red + 5 blue) = 5/14.

Overall, the total probability that a ball drawn randomly from the third urn is blue is the sum of product of each scenario to happen with their respective given probability

P = 0.15(3/7) + 0.75(5/14) + (1/12)*(2/7) + (1/60)*(5/14) = 0.362

8 0
3 years ago
Give an example of a monomial with a degree of 7.
Grace [21]

Answer:

5x⁷ is a monomial of degree 7

6 0
3 years ago
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