How many terms are in this polynomial?
What is the degree of the fourth term?
What is the coefficient of the second term?
What is the degree of the polynomial?
Answers
Answer:
4 terms
Degree of the 4th term = 5
Coefficient of the 2nd term = -6
Degree of the polynomial = 11
Step-by-step explanation:
Terms of polynomials: parts of the expression that are separated by the addition or subtraction operation.
Therefore, there are 4 terms in this polynomial.
If a term of the polynomial has more than one variable, then to calculate the degree of that term, add the powers of all the variables in the term.
Therefore, the degree of the fourth term is:
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
The coefficient is the constant. Therefore, the coefficient of the second term is -6
Degree of a polynomial: The greatest exponent of a variable in the polynomial equation.
As some of the terms in this polynomial have more than one variable, we must first calculate the degrees of the individual terms, and then select the greatest as the degree of the polynomial equation.
[tex]-2x^9 \implies \textsf{degree}=9[/tex]
[tex]-6x^2y^6 \implies \textsf{degree}=2+6=8[/tex]
[tex]9x^7y^4 \implies \textsf{degree}=7+4=11[/tex]
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
Therefore, the greatest degree is 11, so this is the degree of the polynomial.
#1
There are four terms
-2x⁹-6x²y⁶9x⁷y⁴-4/3x³y²#2
Degree of fourth term
3+25#3
Coefficient of -6x²y⁶
-6#4
Third term has highest degrees
7+4=11Degree of polynomial=11
Related Questions
Which of the following inequalities is graphed on the number line below?
Answers
Since the arrow is going to the left side that means x must be LESS than 2, so the sign must be <.
Therefore, answer is A.
there r 12 fish tanks
each fish tank has 20 quarts
every 10 gallons eqal 1 teaspoon
how many teaspoons for the fish tanks
Answers
Answer:
six teaspoons
Step-by-step explanation:
12 fish tanks, each 20 quarts
12x20=240 quarts in 12 tanks
we need to convert quarts to gallons
4 quarts equal one gallon, so
240/4=60 gallons in 12 tanks
60 gallons divided by every 10 gallons equal six teaspoons.
joseph biked 1/4 mile in 90 seconds. Of he continued at this rate, how far did joseph bike in one hour?
Answers
Answer:
10 miles
Step-by-step explanation:
3600 ÷ 90 is 40 then 40÷4 is 10
Answer: 1/6mile
Step-by-step explanation:
¼mile in 1½hr
In 1½hr He biked ¼mile
in 1hr He biked ¼ ÷ 1½
¼ ÷ 1½
¼ ÷ 3/2
¼ × ⅔ = 2/12 = ⅙mile
write the 3 properties of logarithm used to combine logarithms
Answers
Answer:
here!
Step-by-step explanation:
Properties/Rules Exponents Logarithms
Product Rule xp.xq = xp+q loga(mn) = logam + logan
Quotient Rule xp/xq = xp-q loga(m/n) = logam – logan
Power Rule (xp)q = xpq logamn = n logam
(will mark brainlist♀️)
Lessons
Assessments ✓ Gradebook
Question 9(Multiple Choice Worth 1 points)
(08.04 MC)
For the graph, what is a reasonable constraint so that the function is at least 300?
Answers
Answer:
option B is correct answer
Which expression is equal to
Answers
Answer:
A
Step-by-step explanation:
The denominator does not change....just add the numerators
(x-2) - ( x^2-2x+6)
x -2 - x^2 + 2x - 6 = -x^2 + 3x -8
A
1,024,000,000 rounded to the nearest billion
Answers
Answer:
1,000,000,000
Step-by-step explanation:
solve using the square root method
Answers
Answer:
x = ±6
Step-by-step explanation:
→ Add 12 to both sides
1/3 x² = 12
→ Multiply both sides by 3
x² = 36
→ Square root both sides
x = ±6
The PTA sells school supply packs each year. If 60% of the 400 students purchase from the PTA, then how many school supply packs do they sell?
Answers
:} Im sorry i dont know
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Olivia, Charles, and Reese had a challenge to see who could run the farthest in a week. Olivia ran 13 miles, Charles ran 18 times as many miles as Olivia and Reese ran 1/2 as many miles as Charles. What equation could you use to find how many miles Reese ran?
Answers
Answer:
1/2 of (13miles) ×18
Step-by-step explanation:
Olivia Charles Reese
13miles (13miles) ×18 1/2 of(13×18)
234miles 117miles
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Anastasia got 93% in her exam out of marks is 600 find out the obtained marks
options: a) 560 b)540 c)470 d)490
Answers
Answer:
A. 560
Step-by-step explanation:
multiply 600 by 0.93 in order to find out what 93% of 600 is.
600 x 0.93 = 558
since 558 isn't one of the options you find which one is closest to it, then divide by 600 in order to see if it's still 93%
a) 560/ 600 = 0.93333 = 93.3%
there's your answer.
but to compare it with the rest of the answer choices:
b) 540 / 600 = 0.9 = 90%
c) 470 / 600 = 0.78333 = 78.3%
d) 490 / 600 = 0.81667 = 81.6%
none of these are in the range of 93, so they're incorrect
What percent of 175 is 122
Answers
Answer:
69.71%
Hope this helps!
Answer: 69.7142857%
Step-by-step explanation:
Suppose y varies directly with x, and y = 68 when x = 17. What is the value of x when y = 16 ?
Answers
Answer:
x=4
Step-by-step explanation:
y=68 and x=17
68/17=4
y=16 and x=?
16/4=4
x=4
What is the rule for the transformation above?
A.
f(x , y) = (-x , y)
B.
f(x , y) = (-x , -y)
C.
f(x , y) = (y , x)
D.
f(x , y) = (x , -y)
Answers
The rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is
What is the transformation of figure?Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.
The reflection of a plane or shape is flipping the original figure with respect to a reference line. The rule of reflection about x and y-axis is given below,
Reflection about x-axis [tex](x,y)-- > (x,-y)[/tex]Reflection about y-axis [tex](x,y)-- > (-x,y)[/tex]The given figure in the graph is reflected about y-axis. Thus, the rule for the transformation is,
[tex]f(x , y) = (-x , y)[/tex]
Hence, the rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is
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Grade 12 Math:
Find the slope of the normal to the curve x = a cos³ θ, y = a sin³ θ at θ = π/4.
Don't give spam answers & don't post plagiarised answers either. I know the answer, I don't get the method though. It'll be helpful if someone solves it for me. Thanks.
Answers
Given x = acos³θ , y = asin³θ
Diffrentiating w.r.t. θ
dx/dθ = -3acos²θsinθ ____(1)
dy/dθ = 3asin²θcosθ ______(2)
diving (2) by (1)
dy/dθ ×dθ/dx = -( 3asin²θ cosθ /3acos²θsinθ )
dy/dx = - tanθ
dy/dx = slope of tangent = -tanθ
putting θ = π/4
∴ dy/dx =- tanπ/4 = -1
but , slope of normal = - 1/slope of tangent
∵ slope of normal = -1/-1 = 1
∴ slope of normal = 1 Answer
Answer:
Slope of normal = 1
Step-by-step explanation:
[tex]\sf x =aCos^3 \ \theta\\\\\dfrac{dy}{d \theta} = a*3Cos^2 \ \theta (-Sin \ \theta)\\[/tex]
[tex]\sf = -3aCos^2 \ \theta *Sin \ \theta[/tex]
[tex]\sf y =aSin^3 \ \theta\\\\\dfrac{dy}{d\theta}=a*3Sin^2 \ \theta*(Cos \ \theta)\\\dfrac{dy}{d\theta}=3aSin^2 \ \theta*Cos \ \theta[/tex]
[tex]\sf Slope \ of \ Tangent = \dfrac{dy}{dx} =\dfrac{dy}{d\theta} \div \dfrac{dx}{d\theta}[/tex]
[tex]\sf = \dfrac{3aSin^2 \ \theta \ Cos \ \theta}{-3aCos^2 \ \theta \ Sin \ \theta}\\\\ = \dfrac{-Sin \ \theta}{Cos \ \theta}\\\\= -tan \ \theta[/tex]
[tex]\theta = \dfrac{\pi }{4}\\\\-tan\ \theta = -tan \ \dfrac{\pi }{4} \\\boxed{tan \ \dfrac{\pi }{4}=-1}[/tex]
Slope of tangent * slope of normal = -1
[tex]\boxed{\text{Slope of normal =$\dfrac{-1}{Slope \ of \ tangent}$}}[/tex]
[tex]\sf \text{Slope of normal=\dfrac{-1}{-1}}[/tex][tex]\sf Slope \ of \ normal =\dfrac{-1}{-1}[/tex]
= 1
pls fast.
..
...........
Answers
Answer:
8 1/6
Step-by-step explanation:
4 1/2 + 3 2/3
convert to improper fractions
9/2 + 11/3
find lcm
27+22/6
49/6
convert back to mixed
8 1/6
Answer:
step by step
Step-by-step explanation:
12+12__12john
pedro cycled 8 laps around his neighborhood, but this was only 40% of his total cycling workout. How many more laps does he still need to cycle?
Answers
Answer:
12 more laps to go
Step-by-step explanation:
8 = 40 % of x
.40 x = 8
x 8 / .4 = 20
he has already ridden 8, so 12 more to go
What is an equation of the line that passes through the points (-3, -4) and (-4,-6)?
Answers
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
[tex]euation \: of \: a \: line \: has \: the \: forula \\ y - y1 = m(x - x1) \\ where \: m = slope \\ m = \frac{y2 - y1}{x2 - x1} = \frac{ - 6 - - 4}{ - 4 - - 3} \\ = \frac{ - 6 + 4}{ - 4 + 3} = \frac{ - 2}{ - 1} = 2 \\ now \: putting \: m = 2 \: into \: the \: equation \\ y - - 4 = 2(x - - 3) \\ y + 4 = 2(x + 3) \\ y + 4 = 2x + 6 \\ y = 2x + 6 - 4 \\ y = 2x + 2[/tex]
PLEASE RATE AND MARK BRIANLIEST
In the last several weeks, 67 days saw rain and 23 days saw high winds. In that same time period, 13 days saw both rain and high winds. How many days saw either rain or high winds
Answers
The number of days that had either rain or high winds for the considered case is 77
What is the addition rule of size for two subsets?For two subsets A and B of the universal set U, we have:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
Assume that:
A and B be the subsets of what happens on each day.
Then in the days of last several weeks , we take:
A = set of days which had rainB = set of days which had high winds,then, as per the data given, we get:
n(A) = number of days seeing rain = 67n(B) = number of days seeing high winds = 23 n(A ∩B) = number of days seeing both rain and high winds = 13Thus, we get:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77[/tex]
Thus, n(A ∪B) = number of days seeing either rain or high winds = 77
Thus, the number of days that had either rain or high winds for the considered case is 77
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Which function is a quadratic function? t(x) = (x – 4)2 3 q(x) = (2x 4)3 3 r(x) = (–6x – 4)4 3(x 2)2 s(x) = –(x – 6) 3(x 1)
Answers
The function t(x) = (x-4)² + 3 is a quadratic function.
How to determine the quadratic function?A quadratic function has a leading exponent of 2
This means that the highest power of a quadratic function is 2
From the list of given options, the function t(x) = (x-4)² + 3 has a leading exponent of 2
Hence, the function t(x) = (x-4)² + 3 is a quadratic function.
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Evaluate the expression x^3+ x^2 X equals 4
Answers
Answer:
x=-2 you just put the equation on the computer
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply.
StartFraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) EndFraction
The coefficient of the solution is 6.4, the difference of the original coefficients.
The exponent of the solution is –12, the difference of the original exponents.
The coefficient of the solution must be greater than or equal to one but less than 10.
The quotient is 3.0 × 10-12
The solution is a very large number.
Answers
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 ×
Step-by-step explanation:
The answer is B, C, D :)
Thanks to the person above me have a good day
Correct on edge 2022 :).
The sum of the areas of two circles is 80 square meters.find the length of a radius of each circle is one of them is twice as long as the other
Answers
Answer:
4 For Small
8 For big
Step-by-step explanation:
80 Square Inches in terms of pie, since one of the radius points are 2 times the other we can setup a equation
(Leaving out pi for simplicity)
R^2 + 2R^2= 80
Now since R is doubled in spot we can plug in points until we get the answer
1:2 (Too small)
2:4 (Too Small)
3:6 (Too small)
4:8 (Fits)
If we plug 4 for R it satisfies the equation for our criteria.
What is the probability of rolling a pair of dice and not rolling a 6
Answers
Answer: 5/6
Step-by-step explanation: P(6) = 1/6 and P(not a 6) is 1 - P(6)
1-1/6 =5/6
A circle has a radius 6 inches. If a sector of the circle has an area of 10.8Tt square inches, then what
percent of the circle's area does the sector represent?
Answers
A = pi • 6 • 6
A = 113.097335529 square inches
To get the percent of the section, divide the section by the whole, and multiply by 100.
10.8/113.097335529 = 9.54929658553%
2x2x3x4x442x24ex5x7677x6748
Answers
Answer:
5.436564x^14905
Find the volume of the composite figure please help me I don’t understand it thankyou
Answers
Answer:
i dont eather i need to know the ?
Step-by-step explanation:
The rectangle below represents the base of a rectangular prism. Use the ruler provided to measure the dimensions of the rectangle to the nearest centimeter. S The height of the rectangular prism is 12 centimeters. What is the volume of the rectangular prism? A 32 cm³ B 20 cm³ C 360 cm³ D 240 cm³
Answers
The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The volume of the rectangular prism = length * width * height = 5 cm * 6 cm * 12 cm = 360 cm³
The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³
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Scientists claim that a type of insect inherits wing colors in a ratio of 3:3:1 of black, red, and yellow. A sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings. What is the approximate P-value for the chi-square goodness of fit test
Answers
The p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.
What is the chi-square test?A hypothesis testing method is the Chi-square test. Two popular Chi-square tests involve comparing observed and expected frequencies in one or more categories.
The expected proportions are:
3/7, 3/7, 1/7 respectively
Test stasisttics = 0.978
Df = n -1 = 3 - 1 = 2
P-value = 0.622
Thus, the p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.
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I need help with this please I will mark brainliest if possible
Answers
Step-by-step explanation:
[tex] - \sqrt{2 } \div 2[/tex]
Use the unit circle to help you!