Quickly Please!
Which equation has the solutions x = StartFraction 5 plus-or-minus 2 StartRoot 7 EndRoot Over 3 EndFraction?
3x2 – 5x + 7 = 0
3x2 – 5x – 1 = 0
3x2 – 10x + 6 = 0
3x2 – 10x – 1 = 0
Answer:
3x^2-10x+6=0
Step-by-step explanation:
3x^2-10x+6=0
Δ=10^2-4*3*6=100-72=28
V28=V4*7=2V7
x1=(10+2V7)/6=2(5+V7)/6=(5+V7)/3
x2=(5-V7)/3
Answer:
d
Step-by-step explanation:
edge
Which are the center and radius of the circle with this equation?
x^2 - 4x + y^2 + 2y = 0
Answer:
C = (2, - 1)
[tex]r \: = \: \sqrt{5} [/tex]
Step-by-step explanation:
Look at the picture
Suppose n balls are distributed in n boxes in such a way that each ball chooses a box indepen- dently of each other. (a) What is the probability that Box #1 is empty? (b) What is the probability that only Box #1 is empty? (c) What is the probability that only one box is empty? (d) Given that Box #1 is empty, what is the probability that only one box is empty? (e) Given that only one box is empty, what is the probability that Box #1 is empty?
Answer:
Check the explanation
Step-by-step explanation:
a) Probability that Box #1 is empty is computed here as:
= Number of ways to distribute each of the the n balls in remaining (n - 1) boxes / Total ways to distribute n balls into n boxes
= [tex]\frac{(n-1)^n}{n^n} = (1 - \frac{1}{n})^n[/tex]
This is the required probability here.
b) Probability that only 1 box is empty is computed here as:
= Number of ways to choose one of the remaining (n - 1) boxes such that it will have 2 balls * Number of ways to select 2 balls of that box* permutation of remaining (n - 2) balls into (n - 2) boxes / Total ways to distribute n balls into n boxes
= [tex]\frac{\binom{n-1}{1}\binom{n}{2}(n-2)!}{n^n}[/tex]
= [tex]\frac{(n-1)n!(n-2)!}{2n^n}[/tex]
= [tex]\frac{n!(n-1)!}{2n^n}[/tex]
This is the required probability here.
c) Probability that only 1 box is empty is computed here as:
= Number of ways to select a box which would be empty * Probability that only that box would be empty ( from previous part)
= [tex]\frac{n*n!(n-1)!}{2n^n}[/tex]
= [tex]\frac{(n!)^2}{2n^n}[/tex]
This is the required probability here.
d) Given that box #1 is empty, probability that only 1 box is empty is computed here as:
= Probability that only box 1 is empty / Probability that box 1 is empty
We will use the answers from parts a) and b) here to get:
=[tex]\frac{ \frac{n!(n-1)!}{2n^n}}{\frac{(1 - n)^n}{n^n}}[/tex]
= [tex]\frac{n!(n-1)!}{2(1-n)^n}[/tex]
This is the required probability here.
e) Given that only 1 box is empty, probability that box #1 is empty is computed here as:
= 1/n as each box is equally likelt to be empty
Therefore 1/n is the required probability here.
A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose that sugar is added to the tank at a rate of p pounds per minute that sugar water is removed at a rate of 1 gallon per minute and that water in the tank is kept well mixed. What value of P should we pick so that that when 5 gallons of sugar solution is left in the tank the concentration is .5lbs of sugar/gallon?
At the start, the tank contains
(0.25 lb/gal) * (100 gal) = 25 lb
of sugar. Let [tex]S(t)[/tex] be the amount of sugar in the tank at time [tex]t[/tex]. Then [tex]S(0)=25[/tex].
Sugar is added to the tank at a rate of P lb/min, and removed at a rate of
[tex]\left(1\frac{\rm gal}{\rm min}\right)\left(\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm gal}\right)=\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm min}[/tex]
and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,
[tex]\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}[/tex]
Separate variables, integrate, and solve for S.
[tex]\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt[/tex]
[tex]\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt[/tex]
[tex]-100\ln\left|P-\dfrac S{100}\right|=t+C[/tex]
[tex]\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t[/tex]
[tex]P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}[/tex]
[tex]\dfrac S{100}=P-Ce^{-100t}[/tex]
[tex]S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}[/tex]
Use the initial value to solve for C :
[tex]S(0)=25\implies 25=100P-C\implies C=100P-25[/tex]
[tex]\implies S(t)=100P-(100P-25)e^{-100t}[/tex]
The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time
[tex]1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}[/tex]
has passed. At this time, we want the tank to contain
(0.5 lb/gal) * (5 gal) = 2.5 lb
of sugar, so we pick P such that
[tex]S(995)=100P-(100P-25)e^{-99,500}=2.5\implies\boxed{P\approx0.025}[/tex]
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.
Part A
Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
A. b = 13g
B. b = 12g
C. b = 23g
D. b = 32g
Part B
Which equation relates the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.
A. p = 13b
B. p = 12b
C. p = 23b
D. p = 34b
Answer:
Part A = B.
Part B = A.
Step-by-step explanation:
Please can someone help?
I will give you brainliest and points :)
Answer:
216 ft³
Step-by-step explanation:
A cone has 3 sides
72ft³ times 3 is 216 ft³
Answer:
216 ft by 3
Step-by-step explanation:
This is my alt account btw so don’t brainliest this account, the other one.
Solve for yyy.
6=2(y+2)
y=
Estimate a 15% tip on a dinner bill of $52.87 by first rounding the bill amount to the nearest ten dollars.
Answer:
$ 7.9
Step-by-step explanation:
Amount of bill = $52.87 = $52.9
Amount of tip = 15% of $52.9
[tex] = \frac{15}{100} \times 52.9 \\ \\ = 0.15 \times 52.9 \\ = 7.935 \\ = \$ \: 7.9 \\ [/tex]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x>108
Step-by-step explanation:
What is the square root of -1?
-j.
-1
Answer:
Its not a real number for the square roots of negative number
its not possible... [tex]\sqrt{-4}[/tex] = -2 x -2 no... 2 x 2 no..... -2 x 2 yea but thats not square root anymore...
Step-by-step explanation:
Give me brainliest!!!
A. Circle
B. Kite
C. Rectangle
D. Trapezoid
ANY ONE PLZZ THIS IS DUE IN TWO HOURS!!!!!!!!
Answer:
it is option A bro
follow me if it is helpful
Find the mean for each set of data.
3. cost of tennis shoes: $57, $63, $60, $59, $61
Answer: the men’s of this set of numbers is 60
Step-by-step explanation:
Add all the numbers together and then divided but the amount of numbers in the set
Mr. Otsuki has 25 bills worth $300. He has $5, $10, and $20 bills. How many of each type of bill could he have if he has exactly ten $20 bills and at least nine $5 ...
Answer:
Mr. Otsuki could have:
10 $20 bills
5 $10 bills
10 $5 bills
but there are many other ways.
Step-by-step explanation:
We already know that Mr. Otsuki already has at least $245.
10 $20 bills - $200
at least 9 $5 bills - $45
300 - 245 = 55
55 can be made up in many different ways
5 tens + 1 five
9 fives+ 1 tens
4 tens + 3 fives
5 fives+ 3 tens
2 tens + 7 fives
So there are like five answers to this question:
A.
10 $20 bills
5 $10 bills
10 $5 bills
B.
10 $20 bills
1 $10 bills
9 $5 bills
C.
10 $20 bills
4 $10 bills
3 $5 bills
D.
10 $20 bills
3 $10 bills
5 $5 bills
10 $20 bills
2 $10 bills
7 $5 bills
Which point lies on the Y axis been on the X axis (0,0) (0,-3) (1,3) (3,0)
Answer:
(0,-3)
Step-by-step explanation:
Answer: The second number goes on your X axis and the first number goes on your Y axis .
Step-by-step explanation:
(0,0)=Y,X
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Adding the negative value in front of x flips the graph lacrosse the Y axis and compressed it vertically.
The answer is C.
Answer:
C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.
Step-by-step explanation:
The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.
In the number 6,789,043, which digits is in the millions place?
Answer:
the number 6 is in the millions place
Step-by-step explanation:
the millions place is the sixth digit in the number family
and it also has six numbers after the number
A pine cone is 40 feet above the ground when it falls from a tree. The height h in feet of the pine cone above the ground can be modelled by h=-16t^2+40, where t is the time in seconds since the pine cone started to fall. Solve the equation for t. Write your answer in simplest form.
Answer:
Step-by-step explanation:
Given
height of the pine cone above the ground can be modelled by
[tex]h=-16t^2+40[/tex]
When pine cone reaches the ground [tex]h=0[/tex]
[tex]\Rightarrow 0=-16t^2+40[/tex]
[tex]\Rightarrow 40=16t^2[/tex]
[tex]\Rightarrow t=\sqrt{\frac{40}{16}}[/tex]
[tex]\Rightarrow t=\frac{\sqrt{40}}{4}[/tex]
[tex]\Rightarrow t=\frac{2\sqrt{10}}{4}[/tex]
[tex]\Rightarrow t=\frac{\sqrt{10}}{2}[/tex]
[tex]\Rightarrow t=1.58\ s[/tex]
Thus cone take 1.58 s to reach ground
5. Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a
distance of 5 units from the x-axis and 3 units from the y-axis. Jeffrey places a treasure at point J, and
Garrett places one at point G. Who put the treasure in the right place? Explain how you know.
Answer:
Garret placed the treasure at the right place.
Step-by-step explanation:
The Cartesian plane can be used to locate the position of any given point with a coordinate. It consists of two numbered lines perpendicular to each other and intersecting at point zero of the lines.
From the statements given, 5 units from x-axis is not the same as 5 units on x-axis. Also, 3 units from y-axis is not the same as 3 units on y-axis.
So, distance 5 units from x-axis implies that a point 5 units after the x-axis. And also, distance 3 units from y-axis means 3 units after the y-axis.
With these conditions of the coordinate of the treasure, Garrett placed the treasure at the right place.
Answer:
carl amd melly was so kind
Which best describes the range of numbers that satisfy the inequality x> 124?
The range of numbers has an upper limit but no lower limít.
The range of numbers has a lower limit but no upper limit.
The range of numbers has a lower limit and an upper limit.
The range of numbers has neither a lower limit nor an upper limit.
Answer:
Answer shown below
Step-by-step explanation:
The range has a lower limit but no upper band limit
(124, infinity)
Answer:
B: The range of numbers has a lower limit but no upper limit.
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
I took the test and I got 100%.
Please help me I’ve been stuck for awhile
Hey there! I'm happy to help you out!
Let's think of our original price ($P) as 100%. This is also the same thing as 1 because 100% is one whole thing.
Now, we see that he got a 15% off discount. Now, we just subtract 15% from 100% to see what percent he actually payed.
100%-15%=85%
This means that $R is 85% of $P (100%).
Answer A is not correct because 0.85% is less than 1%, which is not 85%.
Answer B is not correct either because 0.15% is also less than 1%.
Answer C is correct because $R is 85% of the original cost.
I hope that this helps! Have a wonderful day!
A farmer is having problems with birds eating her crops. She tries putting up different numbers of scarecrows to keep the birds away. The average number of crops eaten is 200, and the average number of scarecrows she has put up is 20.
The farmer finds some of the linear regression equation:
number of crops eaten = a - 0.8*(number of scarecrows).
What is the value of the intercept?
Answer:
The value of the intercept is a=216.
Step-by-step explanation:
We define "s" as the number of scarecrows and "C" the number of crops eaten.
The farmer finds the linear regression equation:
[tex]C=a-0.8s[/tex]
We have a linear function, for which we only know the slope (m=0.8) and a point within it (when s=20, C=200).
We can find a replacing the variables C asn s with the known point (20, 200):
[tex]C=a-0.8s\\\\C(20)=a-0.8(20)=200\\\\a=200+0.8*20=200+16\\\\a=216[/tex]
The value of the intercept is a=216.
To solve the equation, -6(x + 2) = 30, you can distribute the negative number and then use the
At the school store, Budi bought 161616 pencils, 222222 erasers, and 141414 stickers.
How many total items did Budi buy at the school store?
Answer: The answer is 606060.
Step-by-step explanation: Its pretty simple all you do is add like this and you will get the answer you are needing. If this helped leave a like and try to respond. ❤
Answer:
606060.
Step-by-step explanation:
Sara can type 80 words a minute.
How many words can be typed in 6.5 minutes?
Answer:
520
Step-by-step explanation:
80 times 6.5 = 520
so she can type 520 words in 6.5 mins
Answer:
The answer would be 520
Step-by-step explanation:
We have 80 words per minutes:)
It asks how much words can we type in 6.5 minutes.
well if we do 80 words per minute we can multiply the values
80 words x 6 minutes is 480
But wait we have .5 left
so we do 80 divided by 2 and get 40
then we go 480 plus 40 and get 520
we could have straight out multiplyed it and got this but thats no fun.
520 Words for 6.5 mins :)
Can i get brainliest
Helpppp plzzzz what is the measure of /_x
Answer:
100
Step-by-step explanation:
What is the square root of -1?
Answer:
i
Step-by-step explanation:
i means imaginary because whatever you try you can't get a number which squared gets a negative number.
How many milliliters is 719.01 liters?
Answer:
719010
Step-by-step explanation:
a) what is the theoretical probability of landing on A ? write fraction in simplest form .
Answer:
13/50; 13/50
Step-by-step explanation:
a): Theoretical=# of favorable outcomes/# of total outcomes
To find the total, add 21+26+25+28, which is 100
A has a frequency of 26.
That would be 26/100, which is also 13/50
b): Experimental probability is based on the amount of times the spinner is spun. Since A is the only vowel in "MATH", we would take that fraction and multiply it by 100, or the number of times.
13/50*100=13*2=26
Put that over 100, which would be 26/100, which is also 13/50.
Hope this helped! Have a good rest of your day!
If the general term of a sequence is 4 then the sequence is
Answer:
4,8,12,16,24,32,36.......
Step-by-step explanation:
Find the value of x. Round to nearest tenth.
A. 24.2
B. 17.0
C. 20.1
D. 16.0
Answer:
The answer to the question is A