Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,
[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]
Hence, the degree of the polynomial will be 5.
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If the labor force is 740 workers, but 27
are unemployed, what is the
unemployment percentage?
A. .36%
B. 3.6%
C. 36%
D. 360%
Answer:
3.6% or B quack quack quack quack
The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, the labor force is 740 workers, but 27 are unemployed.
Here, percentage = 27/740 ×100
= 2700/740
= 3.6%
Therefore, option B is the correct answer.
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Part 2 of 2 Points: 0 of 1 Save Some states now allow online gambling. As a marketing manager for a casino, you need to determine the percentage of adults in those states who gamble online. How many adult must you survey in order to be 95% confident that your estimate Is In error by no more than two percentage points? Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of adults who gamble online. n = 2401 (Round up to the nearest Integer) b. Assume that 18% of all adults gamble online, n = (Round up to the nearest Integer.)
The sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm MOE= Z{score}\times \frac{s}{\sqrt{n} }[/tex]
Where Z_{score} is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
MOE = 2% = 0.02 and
α = 1-0.95 = 0.05
Let's assume the value of p = 0.5, and q = 0.5
From the table:
Z_(0.05/2) = Z_(0.025) = 1.96
[tex]\rm n = 0.5\times0.5\frac{1.96^2}{0.02^2}[/tex]
n = 2401
For part (b):
p = 18% = 0.18, and q = 0.82
[tex]\rm n = 0.18\times0.82\frac{1.96^2}{0.02^2}[/tex]
n = 1417.5 = 1417
Thus, the sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%
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What is the equivalent expression for 24x - 40y ?
Answer:
See answer and step-by-step attachment.
Step-by-step explanation:
See attachment.
Just answer
1 + 23 =
i give you 100 pts
I quit
hmm a tough one ima go with 24
From the top of a lighthouse 170 feet high, the angle of depression of a boat out at sea is 24°. Find, to the nearest foot, the distance from the boat to the foot of the lighthouse. (The foot of the lighthouse is at sea level.)
Check the picture below.
If csc a = -5square root 6 /12 and cos a >0, find cot a
The measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5
Trigonometry identityGiven the following trigonometry function as shown below:
csc(a) = -5√6/12
Since csc(a) = 1/sin(a)
sin(a) = -12/5√6
sin(a) = -12√6/30 = -4√6/15 = opp/hyp
Determine the measure of cos(a)
adj^2 = (-4√6)^2+15^2
adj^2 = 144+225
adj = √369
cot(a) = cos(a)/sin(a)
cot(a) = √369/15 * 15/ -4√6
cot(a) = -1/4√61.5
Hence the measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5
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Solve the system of equations.
−4x+3y=−2
y=x−1
(-1,-2)
x= -1
y= -2
Have a wonderful day :)
please help me statistic and probability
Answer:
Probability of 15 = 3/10
Probability of 14 = 2/10
Probability of 10 = 2/10
Probability of 12 = 1/10
Probability of 20 = 1/10
Probability of 25 = 1/10
Step-by-step explanation:
→ Find how many numbers there are
2 14's, 3 15's, 2 10's, 1 12, 1 20 and 1 25 ⇒ The x value row will be 14, 15 ,10 ,12, 20 and 25
→ Now divide each front number by the total
Probability of 15 = 3/10
Probability of 14 = 2/10
Probability of 10 = 2/10
Probability of 12 = 1/10
Probability of 20 = 1/10
Probability of 25 = 1/10
Evaluate
A)–16
B)–4
C)16
D)[tex]-\frac{1}{32}[/tex]
Answer:
Answer is {C}
Step-by-step explanation:
SOLVE THE EQUATION AND EXPLAIN YOUR ANSWER
Answer:
$38.1 billion
Step-by-step explanation:
S - 1.5x = 5.1
x = 2020 - 1998
x = 22 years
S - 1.5(22) = 5.1
S = 5.1 + 33
S = 38.1
I hope this helps!
Answer:
38.1 billion dollars.
Step-by-step explanation:
2020 - 1998 = 22 years, so
S - 1.5(22) = 5.1
S = 5.1 + 1.5(22)
S = 5.1 + 33
= 38.1.
Prove. An odd number cubed is an
odd number.
Answer:
If you're looking for the equation, it's:
[tex](2n+1)^3=8n^3+12n^2+6n+1=2(4n^3+6n^2+3n)+2=[/tex] an odd
I know because I got it right on acellus.
Solve the equation.
y + 6 = –3y + 26
y = –8
y = –5
y = 5
y = 8
Answer:
y = 5
Step-by-step explanation:
y + 6 = –3y + 26
y + 3y + 6 = 26
4y + 6 = 26
4y = 26 - 6
4y = 20
y = 5
I hope this helps!
help me pleaseeeeeeee
Answer:
x = 25
Step-by-step explanation:
This is just algebra involved with geometry!
Your objective is to solve for x.
The line dividing the 2x-5 and x+20 is the bisector
A bisector means the two angles have to be equal!
Your objective is to solve for x.
The line dividing the 2x-5 and x+20 is the bisector
A bisector means the two angles have to be equal!
2x-5=x+20 should be the equation!
Subtract x from both sides
x-5=20
Now add 5 to both sides
x=20+5
x=25
Now you need to plug the answers in!
50-5 for 2x-5
25+20 for x+20
45+45 = 90
I don't really know about the 125 but if that was excluded then this is it ^^^
The value of x is,
⇒ x = 33.3°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
The value of total angle is, 125°
Hence, By definition of angles we get;
⇒ (2x - 5) + (x + 20) = 125°
⇒ 3x + 15 = 125°
⇒ 3x = 125 - 15
⇒ 3x = 110
⇒ x = 33.3°
Thus, The value of x is,
⇒ x = 33.3°
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Scott has 2 six-sided dice. What is the probability that the sum of the roll is one?
Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.
Write the standard equation of the circle with the center (-14,-5) that passes through the point (-7,5).
equation: (x + 14)² + (y + 5)² = 149
Given:
centre : (-14,-5)point (-7,5)=============
Formula's:
(x-h)² + (y-k)² = r²centre : (h, k)radius : rdistance between points : [tex]\sf \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Find the radius:
[tex]\rightarrow \sf \sqrt{(-7-(-14))^2 + (5-(-5))^2}[/tex]
[tex]\sf \rightarrow \sqrt{\left(-7+14\right)^2+\left(5+5\right)^2}[/tex]
[tex]\sf \rightarrow \sqrt{149}[/tex]
Equation of circle:
(x-h)² + (y-k)² = r²(x-(-14))² + (y-(-5))² = (√149)²(x + 14)² + (y + 5)² = 149Graph for clarification:
Answer:
[tex]\sf (x+14)^2+(y+5)^2=149[/tex]
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
[tex]\sf \implies (x-(-14))^2+(y-(-5))^2=r^2[/tex]
[tex]\sf \implies (x+14)^2+(y+5)^2=r^2[/tex]
Now substitute the point (-7, 5) into the equation to find r²:
[tex]\sf \implies ((-7)+14)^2+(5+5)^2=r^2[/tex]
[tex]\sf \implies (7)^2+(10)^2=r^2[/tex]
[tex]\sf \implies 149=r^2[/tex]
Final equation:
[tex]\sf (x+14)^2+(y+5)^2=149[/tex]
Tickets for a carnival cost $8 for children and $12 for adults. The carnival sold a total of 233 tickets and collected $2,156. How many children’s tickets were sold?
A.
180
B.
160
C.
73
D.
108
At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?
Answer:
25%
Step-by-step explanation:
Simple interest= PRT/100
392,000=112,000*R*14/100
392,000=1120*14*R
392,000=15,680R
R= 392,000/15,680
R= 25%
I need help ASAP or im going to fail
Answer:
45
Step-by-step explanation:
Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.
Also given that:
Student tickets: $6
Non-Student tickets : $12
Parking : $9
Thus,
Non- Student tickets:$ 12 (Parents and grandmother are not students)
Parking: $9 ( Since they attend a soccer game they need somewhere to park)
Parents = 2 person (Mom and Dad)
Grandmother = 1 person
1 + 2 = 3
Now,
Since Non-student tickets = $12
3 * 12 +9
36 + 9
45
Hence, the family spend $45 to attend the game.
~lenvy~
Find the area
(Please)
Give explanation
Answer:
960 cm²
Step-by-step explanation:
Area of trapezoid: (a + b)(h)/2
A = (20 + 40)(32)/2
A = 60(32)/2
A = 1920/2
A = 960 cm²
BRANLIEST please if this helps!what is the volume of this now I don't really get it
Answer:
12
Step-by-step explanation:
Answer:
24 cubic units
Step-by-step explanation:
Count the front layer by fours because there are 3 rows of 4 and 3 rows of 4 on the other side.So count by 4's on the front layer then the back layer.
A new computer repair company offers house calls to their customers. They use the function f(h) = 45h + 80 to calculate the total repair bill, f(h), for h number of hours worked. A. What does 45 represent in the function? < B. What does 80 represent in the function? > C. Find h if f(h) = 215. What does this value of h mean in the context of the problem? <
The function f(h) = 45h + 80 of the computer repair is a linear function
45 represents the hourly rate80 represents the base costThe value of h means 3 hoursWhat 45 and 80 represents?A linear function is represented as:
f(h) = mh + c
Where:
m represents the rate; m = 45b represents the base cost or y-intercept; y = 80By comparison;
45 represents the hourly rate and 80 represents the base cost
How to calculate h?
We have:
f(h) = 45h + 80
When f(h) = 215, the function becomes
45h + 80 = 215
Subtract 80 from both sides
45h = 135
Divide both sides by 45
h = 3
Hence, the value of h means 3 hours
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i kneed help
Which of the following is an example of symbolism in a political communication?
A campaign ad that uses the American flag to show the candidate is patriotic
A website that explains where candidates stand on the issues of their party's platform
A news channel that actively advocates for a particular candidate
A radio program where local politicians are interviewed about important local issues
Answer:
Here :D
Step-by-step explanation:
The option that is an example of symbolism in a political communication is; A radio program where local politicians are interviewed about important local issues.
What is Symbolism in Communication?
In symbolism in communication, we are trying to use a means or medium to pass across a message to an audience consciously or unconsciously.
Now, for political communication, the politicians are trying to talk about important issues with respect to the elections. Thus, from the given options, the only one that is an example of symbolism in a political communication is A radio program where local politicians are interviewed about important local issues.
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I NEED HALP PWEASE AND PWEASE DONT IGNORE ME EVERONE DOES THAT WHEN I PUT A QUESTION UP IM GIVING BRAINLYS OUT
Answer:
The order goes:
B
A
D
C
Step-by-step explanation:
Based on the clues joe has the least so he would be B
Terrell has the most so his would be A
Jimmy has half so he would be D
and Justin is C last option
Answer:
Clue 1: 1,4 = B
Clue 2: 1,6 = A
Clue 3: 2,4 = C
Clue 4 : 4,5 = D
A sector of a circle has a central angle of 45 ∘ . Find the area of the sector if the radius of the circle is 18 cm. cm2
Answer:
1,090
Step-by-step explanation:
Help Me with this please
Answer:
B) Δ+5
Step-by-step explanation:
Means that Austin has $5 more than Mark
Hope this helps
The equation x2 + 4y2 = 36 represents which conic section?
ellipse
circle
hyperbola
parabola
Answer: The answer is ellipse
1 Camille has 26 pieces of ribbon for making cards.
She needs 4 pieces of ribbon for each card.
How many cards can Camille make? How many
pieces of ribbon will be left over?
Answer:
Camille can make 6 cards and will have 2 ribbons left
Step-by-step explanation:
CAN SOMEBODY SOLVE EQUATION IM LOST
Answer:
2
- x -1
3
Step-by-step explanation:
Which circle will have the largest radius?
O OAC = 16 cm
OOD.r=20 cm
OOC.r= 21 cm
O OB. C = 18 cm
Answer:
c-21cm
Step-by-step explanation:
21 is the biggest one(unless the options are the diameters..it wouldstill be option c though)
Jacob wants to determine the principal amount still owed on his mortgage loan. He knows that the interest portion of his last monthly payment was $391.42. If he is paying interest at the rate of 11½%, what was the outstanding balance of the loan before that last payment was made?
If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.
Loan Oustanding balanceFirst step is to find the annual interest
Annual interest= $391.42 x 12
Annual interest= $4,697.04
Second step is to calculate the outstanding balance
Outstanding balance=Annual interest/Interest rate
Oustanding balance= $4,697.04/ 11½%,
Outstanding balance =$40,843.826
Outsatnding balance= $40,843.83 (Approximately)
Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.
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