To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
Factorizationq(x)=12x^5+40x^4-32x³
q(x)=4x³ (3x²+10x-8)
q(x)=4x³(3x²+12x-2x-8)
q(x)=4x³ [(3x (x+4)-2 (x+4)]
q(x)=4x³ (3x-2) (x+4)
When:
q(x)=0; x1=0; x2=2/3; x3=-4
Hence:
When:
x=0 the multiplicity is 3
x=2/3 the multiplicity is 1
x=-4 the multiplicity is 1
Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
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A fruit company guarantees that 94% of the pineapples it ships will ripen within four days of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within four days.
The probability that at least 10 pineapples in a case of 12 are ripe within four days as described in the task content is; 0.783
Probability of PercentageFrom the task content;
It follows that 94% of the pineapples shipped will ripen within four days of delivery.On this note, the probability for ripening of each apple is; 0.94.
Ultimately, the probability that at least 10 pineapples in a case of 12 are ripe within four days is therefore; 0.94 × 10/12 = 0.783.
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Please help!!!
(07.02)
What is the value of y in the equation 3y - 8 = 22?
07.3
8
O 10
O 14
Answer:
The answer is 10 dude.
Step-by-step explanation:
You add 8 on both sides to get 3y by itself then divide 3 on both sides and that's it. If you really need to isolate a variable go on a website called microsoft math solver.
The graph shows two lines, A and
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)
Answer:
there muse be at least 2 solution because we need it to draw lines at exact direction
Answer:
1 solution
Step-by-step explanation:
A solution to a system of lines in a graph is their intersection point. On the graph shown, there is only 1 point at which the lines intersect, therefore, 1 solution.
A basketball player averaged 20 points a game over the course of six games. His
scores in five of those games were 23, 18, 16, 24, and 27. How many points did he score in the sixth game?
Average Points= 20
No. of games = 6
Total points= 20×6=120
So, Sum of Score of five games= 23+18+16+24+27= 108
Therefore, Score in 6th game= 120-108= 12
Hope this helps[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]
To find :-
The sixth score of the game
Given :-
All five scores = 23, 18, 16, 24, and 27
The average of all six score = 20
Solution :-
We will use the average formula to find the sixth score.
[tex]average = \frac{total \: of \: all \: scores}{number \: of \: scores} [/tex]
And let the sixth score be x.
[tex]20 = \frac{23 + 18 + 16 + 24 + 27 + x}{6} [/tex]
Now we will cross multiply, the 6 which on L.H.S will come to R.H.S and multiply with 20.
[tex]20 \times 6 = 23 + 18 + 16 + 24 + 27 + x \\ 120 = 108 + x \\ 120 - 108 = x \\ 12 = x[/tex]
Result :-
The sixth score by the baseball player is 12.
What is your filed called when you open it in Photoshop?
A. PDF
B. MP3
C. JPEG
D. Doc
Answer:
B. MP3 idek if its right im just doing the 5 step thing
I NEED HELP ASAP, I NEED BOTH QUESTIONS ANSWERED THIS IS WORTH 50 POINTS SO PLS HELP ASAP~~
What is the volume of the bird feeder? Round to the nearest tenth if nessacaryWhat is the volume of the bird feeder
10 men can do the work in 8 days. how many men should be reduced to finish the work in 10 days
If Reducing 2 men will bbe enough too finish the work in 10 days
For rate of work use the formualar
rate of work = quantity of work / duration
10 men can do the work at a rate of = 1 / 8
x men can do same work at a rate of = 1 / 10
x * ( 1 / 8 ) = 10 * ( 1 / 10 )
x = 1 * 8 = 8
therefore 8 men can do the work in 10 days
number of men reduced = 10 men - 8 men = 2 men
Hope it helped
Help picture below problem 15
Answer:
x = 25°
Step-by-step explanation:
→ Remember key fact
Angles in triangle add up to 180°
→ Set up equation
34 + 121 + x = 180
→ Simplify
155 + x = 180
→ Minus 155 from both sides
x = 25°
Questione Simplify Cosa + 2Cos(a +240")
Step-by-step explanation:
[tex] \cos(a) + 2 \cos(a + 240) [/tex]
[tex] \cos(a) + 2 \cos(a) \cos(240) - \sin(a) \sin(240) [/tex]
[tex] \cos(a) + 2( - \frac{ \cos(a) }{2} + \frac{ \sqrt{3} }{2} \sin(a) )[/tex]
[tex] \cos(a) - \cos(a) + \sqrt{3} \sin(a) [/tex]
[tex] \sqrt{3} \sin(a) [/tex]
If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.
What is an externality
Answer:
Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.
the picture below is an example of what it looks like
WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.
the fact of existing outside the perceiving subject.
You invest $5000, add 50 each month, at 7.9% for 11 years.
Answer:
???
Step-by-step explanation:
CAN SOMEBODY SOLVE THIS EQUATION
Answer:
The tank starts with 32300 gallons and is decreasing by -16.15 gallons per minute
I NEED HELP ASAP
Solve.
4x + 2(3x – 9) = x
A.
x = –2
B.
x = 1.8
C.
x = 2
D.
x = 18
Answer:
x=2
Step-by-step explanation:
[tex]4x+2(3x-9)=x\\\\\implies 4x +6x - 18 -x =0\\\\\implies 9x = 18\\\\\implies x = \dfrac{18}9 = 2[/tex]
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. Radius is 4 height is 10
Equivalent ratio for 3:7 is
3 : 7
to find:equivalent ratios for 3 : 7.
solution:6 : 14
9 : 21
12 : 28
15 : 35
18 : 42
( to find equivalent ratios just multiply or divide both the sides by the same number. )
Answer:
The answer is 6:14, 9:21, 12:28, 15: 35, and 18:42Step-by-step explanation:
What you need to do is take the ratio and you can turn it into a fraction!so take 3:7 and turn it into 3/7now from there you just need to multiply the numerator and the denominator by the same number and it will always equal the ratio of 3:7EXAMPLE-- 3/7 and multiply the numerator and denominator by 5 to get 15:35 THIS IS TRUE
In which data set is the mean greater than the median?
According to the skewness of each data-set, the first histogram has a mean greater than the median.
What is the relation between mean, median and skewness?If the mean is greater than the median, the data is positively(right) skewedIf the mean is less than the median, the data is negatively(left) skewedIn this problem, for the mean greater than the median, we want a right-skewed data, which is given by the first histogram.
More can be learned about a data-set skewness at https://brainly.com/question/1446134
Answer:
B
Step-by-step explanation:
took test
What is the difference between 8x^3-2x^2+5x-7 and 5x^3-3x^2-2x+4?
Answer:
B. 3x³ - 5x² + 3x - 3
Step-by-step explanation:
8x³ - 2x² + 5x - 7 - 5x³ - 3x² - 2x + 4 <== combine like terms
3x³ - 5x² + 3x - 3
Hope this helps!
From a club of 20 people, in how many ways can a group of three members be selected to attend a conference?
=============================================================
Reason:
There are 20 ways to pick the first person, 19 for the next, and 18 for the last. We count down by one each time we fill up a slot since we cannot reselect any person more than once.
If order mattered, then we'd have 20*19*18 = 6840 permutations.
However, order does not matter because no member has a special seat or role. The individual members don't matter and instead it's all about the group.
Notice that for any group of 3 people, there are 3*2*1 = 6 ways to arrange such individuals. We have to divide by 6 to go from 6840 permutations to 6840/6 = 1140 combinations.
-------------------------
Here's a more formulaic approach using the nCr combination formula.
Plug in n = 20 and r = 3
[tex]n C r = \frac{n!}{r!(n-r)!}\\\\20 C 3 = \frac{20!}{3!*(20-3)!}\\\\20 C 3 = \frac{20!}{3!*17!}\\\\20 C 3 = \frac{20*19*18*17!}{3!*17!}\\\\ 20 C 3 = \frac{20*19*18}{3!}\\\\ 20 C 3 = \frac{20*19*18}{3*2*1}\\\\ 20 C 3 = \frac{6840}{6}\\\\ 20 C 3 = 1140\\\\[/tex]
Evaluate the following integral or state that it diverges.
*integral 0 to 1 (ln x)do
Answer:
-1
Step-by-step explanation:
so firstly we solve by integrating by parts.
lnX × X - the integral of x/x
so the integral is Xln(X) - X
so the value should converge at -1
PLEASE HELP PLEASE HELP
Answer:
Option D - Line P
Step-by-step explanation:
Look at the coordinates in the (x, y) column of Max's table and see which line has the same points.
. Assuming that the pool is 10 ft deep, approximately how many cubic heters of water will this pool hold when filled? (3.3 feet 1 meter)
Answer:
The answer is true
Step-by-step explanation:
hope this helps
how do i simplify this: (8 2/3)^4
Answer:
5641 55/81
Step-by-step explanation:
you can simplify the equation by removing the parenthesis.
this means that you also have to solve the ^4 part.
this would be
5641 55/81
I know that this is a large number but that is what happens when you do ^4.
Which of the following is the main
reason people buy auto insurance?
A. They want to be covered in case their home starts on
fire.
B. It is not expensive and easily affordable.
C. It is required by law in any state in America.
D. It is very expensive and hard to finance.
Haven't learned this yet.
Explanation:
Most states (but not all) require liability insurance at minimum. This covers injury and property damage to the person you accidently hit. It likely does not cover you personally so you'd need other insurance for that.
States like Iowa, New Hampshire, and Ohio offer exemptions from insurance if you can show you are responsible with money. Meaning that if you have a steady income and are smart with money, then you likely would be able to pay off any future accident without needing insurance. Though the damages might get wildly expensive, so a liability policy isn't always a bad thing.
2.
one day Jada and her cousin line up on the end of a swimming pier on the edge of a lake . At the same time , they start swimming and biking in opposite directions how far apart will they be after 15 mins
In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.
What is speed?Speed is the ratio of distance to time.
For Jada:
Speed = 2 miles / 12 minutes = 0.167 miles per minute
For Jada cousin:
Speed = 1 mile / 24 min = 0.0417 miles per minute.
Hence, in 15 minutes:
Jada distance = 15 min * 0.167 miles per minute = 2.5 miles
Jada cousin distance = 15 min * 0.167 miles per minute = 0.625 miles
In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.
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During a sale at the electronics store, movies sold for $3 and CDs sold for $2.50. Isla spent $24 and bought a total of 9 movies and CDs. How many of each did she buy?
need help really please someone
Answer:
5/6 x 1 = 5/6 2/3 x 2= 4/6. 5/6 is greater than
2/3
Step-by-step explanation:
find a common denominator then see which one has more value
A cable company charges $130 for digital cable and internet service. It charges $160 for digital cable, Internet service, and three premium movie channels. What part of the $160 charge for the second package is due to the three movie channels?
Answer:
$30
Step-by-step explanation:
Since the $130 has everything except the 3 premium movies, i subtracted 160 with 130 to get $30.
the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sides
The length of the other two sides is 10 and 35 respectively.
What is a ratio?A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.
From the given information:
The sides of the triangle = 2:7:8The total sides of the triangle = 2+7+8 = 17We are being told that the longest side is the triangle is equal to 40.
i.e.
[tex]\mathbf{\to\dfrac{8}{17}\times x = 40}[/tex]
[tex]\mathbf{x = 40 \div \dfrac{8}{17}}[/tex]
[tex]\mathbf{x = 40 \times \dfrac{17}{8}}[/tex]
x = 85
Now for the other two sides 2 and 7, their length is as follows.
[tex]\mathbf{\dfrac{2}{17}\times 85 = 10}[/tex]
[tex]\mathbf{\dfrac{7}{17}\times 85 = 35}[/tex]
Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.
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MATH. Someone please answer this for me :) 50 points
Image attached
Answer:
A=0.51
B=0.73
C=0.41
D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age
Step-by-step explanation:
These answers are all in fractions btw
A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51
B)100+65=165
165/225=0.73
C)100/245=0.41
Hope it helps !