The quadratic equation from the given root is 4x² - 41x + 45 = 0
Writing a quadratic equation from the given rootFrom the question, we have the following parameters that can be used in our computation:
Roots = 5/x and 4
The equation of the function can be calculated as
(x - root) * (x - root) = 0
using the above as a guide, we have the following:
(x - 5/4) * (x - 9) = 0
When expanded, we have
(4x - 5)(x - 9)/4 = 0
This gives
4x² - 5x - 36x + 45 = 4 * 0
So, we have
4x² - 41x + 45 = 0
Hence, the quadratic equation from the given root is 4x² - 41x + 45 = 0
Read more about quadratic equation at
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i am stuck on these two, please help if you can. thank you :)
Answer:
23) x= [tex]\frac{27}{8}[/tex]
24) x= [tex]8\sqrt{3}[/tex]
Step-by-step explanation:
The amount of time, in hours, that a computer functions before breakingdown is a continuous random variable with probability density functiongiven byfX(x) ={1100e−x/100x≥00x <0.What is the probability that1. a computer will function between 50 and 150 hours before breakingdown (3 pts)2. It will function less than 100 hours? (3 pts)3. It will function exactly 100 hours before breaking down? (3 pts)
Answer:
[tex]P(50 < x < 150) =0.3834[/tex]
[tex]P(x = 100) =0.0074[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \left \{ {{\frac{1}{100}e^{-x/100}\ x\ge 0} \atop {0\ x<0}} \right.[/tex]
Solving (a): Probability that it will function between 50 and 150 hr before it breaks down
This is represented as:
[tex]P(50 < x < 150) = \int\limits^{150}_{50} {f(x)} \, dx[/tex]
So, we have:
[tex]P(50 < x < 150) = \int\limits^{150}_{50} {\frac{1}{100}e^{-x/100}} \, dx[/tex]
Integrate:
[tex]P(50 < x < 150) =- e^{-x/100}|\limits^{150}_{50}[/tex]
This gives:
[tex]P(50 < x < 150) =- e^{-150/100} - - e^{-50/100}[/tex]
[tex]P(50 < x < 150) =- e^{-150/100} + e^{-50/100}[/tex]
[tex]P(50 < x < 150) =- e^{-1.5} + e^{-0.5}[/tex]
[tex]P(50 < x < 150) =- 0.2231 + 0.6065[/tex]
[tex]P(50 < x < 150) =0.3834[/tex]
Solving (a): Probability that it will function exactly 100 hr before it breaks down
This is represented as:
[tex]P(x= 100)[/tex]
This can be rewritten as:
[tex]P(x= 100) = P(99<x<101)[/tex]
So, we have:
[tex]P(99 < x < 101) = \int\limits^{101}_{99} {f(x)} \, dx[/tex]
So, we have:
[tex]P(99 < x < 101) = \int\limits^{101}_{99} {\frac{1}{100}e^{-x/100}} \, dx[/tex]
Integrate:
[tex]P(99 < x < 101) =- e^{-x/100}|\limits^{101}_{99}[/tex]
This gives:
[tex]P(99 < x < 101) =- e^{-101/100} - - e^{-99/100}[/tex]
[tex]P(99 < x < 101) =- e^{-101/100} + e^{-99/100}[/tex]
[tex]P(99 < x < 101) =- e^{-1.01} + e^{-0.99}[/tex]
[tex]P(99 < x < 101) =- 0.3642 + 0.3716[/tex]
[tex]P(99 < x < 101) =0.0074[/tex]
Hence:
[tex]P(x = 100) =P(99 < x < 101) =0.0074[/tex]
Which fraction is less?
2/5 or 1/6
Answer:
1/6
Step-by-step explanation:
convert ti decimal then compare the two
Answer:
Hello There!!
Step-by-step explanation:
1/6 is less.You can check this by 2÷5=0.4 and 1÷6=0.1666666667 so 1/6 is less.
hope this helps,have a great day!!
~Pinky~
What is the slope of the line through? (-4, 2) and (3, -3)?
Answer:
c. -5/7
Step-by-step explanation:
How do I do this: 16 divided by 0.05
Answer:
320
Step-by-step explanation:
Step 1: Estimate the answer by rounding .
Step 2: If the divisor is not a whole number, then move the decimal place in places to the right to make it a whole number.
Step 3: Divide as usual.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Answer: 320 is the correct answer
Step-by-step explanation:
To answer this questions is simple, you can see it as a long division question or regular division
Regular division:
16 ÷ 0.05 = 1600
(You can transform this into a simple non-decimal question and solve easliy)
1600 ÷ 5 = 320
This is the way to solve these type of questions without straining your brain in the process.
Oil prices are projected to increase by 125% by next August. A quart of oil currently costs $1.25. What is the projected cost of a gallon of oil next August? Round your answer to the nearest hundredth.
Answer:$2.81
Step-by-step explanation:
1.25 is 100% of the price
125% + 100% = 225%
x = price by august
x = 225% (1.25)
225% = 2.25
2.25(1.25) = 2.8125 ≈ $2.81
Another way to see it:
=
225(1.25) / 100 = 2.8125
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
I would believe 90* clockwise.
Step-by-step explanation:
It rotated 90* to be located on its side.
I WILL GIVE BRAINIEST IF ANSWERED WITH EXPLANATION PLEASE HELP
Find the area of each figure. Round your answer to 2 decimal places is required.
69.82 i think
Step-by-step explanation:
First the area of a rectangle is bh, so 5 times 12 is 60. Then you have a semicircle which is half a circle, so it would be pi(radius)squared divided by 2. The diameter is 5 because it's five on the other side and rectangles have opposite sides congruent. Radius is 2.5 after dividing diameter by 2. 2.5 pi r squared is like 19.634 blah blah blah. Divide that by two and add 60 to get 69.82.
Please helppp why is he right or wrong!!
Answer:
We cannot agree with Andre because x = 3.
Step-by-step explanation:
Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:
x + 2 = 5
Solve for x
x + 2 - 2 = 5 - 2 (subtraction property of equality)
x = 3
If you plug in the value of x on the diagram given, the scale becomes balance on each side.
Therefore, x = 3. Andre is wrong and we cannot agree with Andre.
what’s the answer ?
Uh I can't explain well so heres the answer
247.75
please help me on this its reading
The answer is C to be informed about a new topic.
Answer:
C.
Step-by-step explanation:
C. be informed about a new topic
find the image of U'( -8 , 1) after a translation along < 2 , 0 > and a reflection in the x axis
U"( -6 , -1)
U"(6 , 1)
U"(6 , -1)
U"(-1 , 6)
Given:
The point is U'(-8,1).
It is translated along <2,0> and reflected across the x-axis.
To find:
The image of U'.
Solution:
The given point is U'(-8,1).
It is translated along <2,0> . So, the rule of translation is:
[tex](x,y)\to (x+2,y+0)[/tex]
[tex]U'(-8,1)\to U_1(-8+2,1+0)[/tex]
[tex]U'(-8,1)\to U_1(-6,1)[/tex]
Then, it is reflected across the x-axis. So, the rule of reflection is:
[tex](x,y)\to (x,-y)[/tex]
[tex]U_1(-6,1)\to U''(-6,-1)[/tex]
The image of U'( -8 , 1) is U''(-6,-1).
Therefore, the correct option is A.
100% of 80 is what number?
Select one:
160
80
8
100
Answer:
80
explanation:
100% means that its the whole of something so all of the said number
Answer:
In converting to percentage we multiply by 100%
100% of 80 =
80/100 x 100%
0.8 x 100 = 80
NB the 100% of any number is the number itself
HELP, ME PLEASE LOOK AT THE PHOTO TRUE OR FALSE
Answer:
The answer is false. 2 is not congruent to 5.
Honestly, someone has a different answer but they have a whole paragraph so I think you should listen to what they say.
Answer:
True
Step-by-step explanation:
Same-side exterior angle converse theorem states that if two lines are intersected by a transversal and the same-side exterior angle are congruent, then the two lines are parallel. One can apply this theorem to the given case, and thus lines A and B are parallel.
URGENT WILL GIVE BRAINLIEST
Answer:
40
Step-by-step explanation:
Which expressions are equivalent?
1/5k-2/3j and -2/3j+1/5k
1/5k-2/3j and -1/5k+2/3j
1/5k-2/3j and 1/5j-2/3k
1/5k-2/3j and 2/3j-1/5k
please help!!!!!
Researches conducted a study to determine whether magnets are effective
My friends and I go to the cinema by bus.
We spend 10 minutes walking and 15
minutes waiting at the bus stops, the
Journeys take 20 minutes each way
we arrive as the film starts. There are
25 minutes of adverts and trailers,
and the film lasts for 95 minutes
We get home at 17:20
What time did we set off to
the car
Answer:
15:35??
Step-by-step explanation:
1. 20 + 15 = 35
2. 35 + 10= 45
3. 45 + 25 = 70 = 1 hour and 10 minutes
4. 95 mins = 1 hour and 45 minutes
5. 1 hour and 10 mins + 1 hour and 45 minutes = 2 hours and 55 minutes
6. 17:20
- 02:55
15:35
15:35
i don't know if this is right but it it does, your welcome.
h(a) = 3 - 2a ^ 2
h(- 3) =
Answer: -15
Step-by-step explanation:
First, calculate exponents.
-3 * -3 is 9.
Then multiply 2 and 9 which is 18.
3-18 is -15.
Pudding has 120 calories in 2 ounces. How many calories are in 8 ounces of the pudding?
Answer:
272 calories.
Step-by-step explanation:
jus solved it.
Answer:
480
Step-by-step explanation:
Two consecutive even integers have a sum of 14. The equation that would be used to solve this
is x + x +__=14
The smallest of the two integers is _____ when you solve to find the integers.
plsssssssssssss help
Answer:
negative linear relationship
Step-by-step explanation:
What’s 2/4 plus 3/8??
Mark brainliest!!!
No links!!
Step-by-step explanation:
[tex] \frac{2}{4} + \frac{3}{8} = \\ = \frac{4 + 3}{8} = \\ = \frac{7}{8} [/tex]
Answer:
The answer is 0.875 in decimal form but is 7/8 in fraction form
Step-by-step explanation:
Can someone help me how to do this task please?
Answer:
11/12
Step-by-step explanation:
9) The area of the given rectangle is 40 square feet. Find the length and the width of the rectangle.
Length: x+1
Width: X + 4
Answer:
Step-by-step explanation:
hello : solve (x+1)(x+4)=40
x²+5x+4 =40
x²+5x-36 =0 continu us delta
Which set of ordered pairs represents a function?
A {(22, 5), (23, 10), (22, 7), (23, 5)}
B {(22, 5), (26, 10), (23, 7), (23, 5)}
C {(22, 10), (23, 10), (24, 7), (25, 5)}
D {(24, 10), (23, 6), (22, 7), (24, 5)
Answer:
D
Step-by-step explanation:
the company is it a big company with you in my neighborhood that is a lot more expensive and more expensive to
A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours
Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.
Therefore, 6 Hours/900 becomes our quotient
Again, since the denominator is larger we invert it to 900 calls/6 Hours
To get a demand of 150 calls per hour.
We need to be able to handle 150 calls per hour.
So how Many Call Representatives are needed?
Again, our historical data tells us that each person can handle 10 calls an hour.
Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!
Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.
What App or what Website can help me solve problems of Statistics?
the varsity tutors ap statisyics app (app)
The formula for the volume of a cone is V =
3
bah
Solve V =
on for b, the base of the cone.
Answer:
oh thats easy thats 7
Step-by-step explanation:
i guess
In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.
Answer:
Area of ΔQRS = 2.3 square inches
Step-by-step explanation:
From the given information,
<S + <Q + <R = [tex]180^{o}[/tex]
51 + 44 + <R = [tex]180^{o}[/tex]
95 + <R = [tex]180^{o}[/tex]
<R = [tex]180^{o}[/tex] - 95
= [tex]85^{o}[/tex]
<R = [tex]85^{o}[/tex]
Applying the Sine rule, we have;
[tex]\frac{q}{SinQ}[/tex] = [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]
Using [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]
[tex]\frac{r}{Sin 85}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]
r = [tex]\frac{2.3*Sin85}{sin51}[/tex]
= 2.9483
r = 2.9 inches
Also, [tex]\frac{q}{SinQ}[/tex] = [tex]\frac{s}{SinS}[/tex]
[tex]\frac{q}{Sin44}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]
q = [tex]\frac{2.3*Sin44}{Sin51}[/tex]
= 2.0559
q = 2.0 inches
From Herons formula,
Area of a triangle = [tex]\sqrt{s(s-q)(s-r)(s-s)}[/tex]
s = [tex]\frac{2.3 + 2.0 + 2.9}{2}[/tex]
= 3.6
Area of ΔQRS = [tex]\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}[/tex]
= 2.2895
Area of ΔQRS = 2.3 square inches
Answer:
2.4
Step-by-step explanation: