MATHEMATICS HIGH SCHOOL

How many real solutions does the equation below have?3x^2 − x + 5 = 0


PLEASE HELP ME ASAP

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On a line segment B is between AC and C is between B and D using the segment addition postulate if AB=7 AC=15 AD=32 what does BC BD and CD equal

Answers

Answer:

BC = 8

BD = 24

CD = 17

Step-by-step explanation:

First i found that I know AB is 7 and AC is 15 so i realize AB is part of AC so I subtract AB from AC for the difference and got the rest using the same logic

If you dont mind a thx 5 star and brainliest is greatly appreciated trying to hit next level and need 5 more brainliest
AB+AC=BC
7+15=BC
BC=22

AB+AD=BD
7+32=BD
BD=39

AC+AD=CD
15+32=CD
CD=47

I need the area of each sector in the 3 circle. Answers in term of pie . 11,14,17

Answers

11.

(π*3^(2)*45) / 360 = (9π) / 8;

12. 

12π;

13.

π/2 ;

Water fills a tank at a rate of 150 litres during the first hour, 350 litres during the second, 550 litres during the third and so on. Find the number of hours necessary to fill a rectangular tank 16m x 7m x 7m.

Answers

Putting this as an arithmetic sequence gives:

u_n = 150+200(n-1)

The sum of the series = 16 x 7 x 7 = 784 m^3 = 784 000 L

The sum of an arithmetic series can be written as:

S_n=n/2 [2a+(n-1)d] = 784 000\nn/2[2(150)+(n-1)200] = 784 000\nn[300+200(n-1)=1 568 000\n300n+200n^2-200n = 1 568 000\n200n^2+100n- 1 568 000 = 0\n2n^2 +n- 15680 = 0\nn= 88.2...,-88.7

n has to be positive, so we get

n = 88.2 hours (3 s.f.)
Volume of tank = (16m)(7m)(7m) = 784 m³

Conversion of m³ to L:
(784 m³) × (1000L / 1m³) = 784,000 L

Rate in the 1st hour:
150 liters/hr

Rate in the 2nd hour:
350 liters/hr

Rate in the 3rd hour:
550 liters/hr

It is apparent that the Fill Rate is increasing by 200 liters/hr every subsequent hour . . . so that can be represented by the following equation

where:
t = number of hours

Fill rate (i.e. volume of water filled into tank within the specified hour) = 150 + 200(t - 1)

For t = 1 . . . Fill rate = 150 L/hr
For t = 2 . . . Fill rate = 350 L/hr
For t = 3 . . . Fill rate = 550 L/hr

Because after every hour there has been more water added to the tank, this problem can be represented as a geometric sequence in order to account for the compounding of the volume after each time step, but it can also be tabulated (which seems to me to be the more direct/simple approach), so I will build a table that accounts for the increasing Fill Rate and the compounding of water volume after each time step . . .

(see attached)

The answer (after all of this) is . . .  t = 88 hrs 17 1/2 mins (approx)

If there is an 80% chance of rain and a 50% chance of wind and rain, what is the probability that it is windy, given that it is rainy? Round your answer to the nearest percent.

Answers

Answer:

The probability that it is windy, given that it is rainy is:

                             62.5%≈63%

Step-by-step explanation:

Let A denote the event that it will rain.

B denote the event that it is windy.

A∩B denote the event that it is rainy and windy.

Let P denote the probability of an event.

i.e. we have:

P(A)=0.80

( Since there are 80% chance of rain)

P(A∩B)=0.50

(Since there are 50% chance of wind and rain)

We are asked to find:

P(B|A)

We know that:

P(B|A)=(P(A\bigcap B))/(P(A))\n\n\nP(B|A)=(0.50)/(0.80)\n\n\nP(B|A)=0.625

Hence, the probability in percent is:

                   62.5%≈63%
The total probability when given it is rainy is 80%. Among them, the windy probability among 80% is 50%. So the total probability is 50%/80%=62.5%≈63%.

Select all setd that contain the number 1.10100100010000...A. Integer
B. Irrational
C. Natural
D. Rational
E. Whole

Answers

its option D
Rational set 

Whatt is the perimeter of a square if each side is five feet

Answers

Answer:

Perimeter = 5 feet + 5 feet + 5 feet + 5 feet

Perimeter = 20 feet

So, the perimeter of a square with each side measuring five feet is 20 feet.

Step-by-step explanation:
Hey there! So sense a square is all equal sides, they measure up the same! So if each side is 5 feet and there are 4 sides, you add 5, 4 times because you add the perimeter.. so

5 feet + 5 feet + 5 feet + 5 feet

= 20 feet!

Your perimeter would be 20 feet!
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