What is the degree of 6x^5+5x^4-3x^2+x^7?
Answers
The degree of given polynomial \(6x^5+5x^4-3x^2+x^7\) is 7.
The greatest exponent on a single variable in a polynomial, or the largest sum of exponents on variables in a single phrase, is the polynomial's degree. The degree of the polynomial is the largest power on the variables. The degree of a polynomial indicates how many roots it will have. A degree 3 polynomial will have 3 roots, a degree 4 polynomial will have 4 roots, and so on. A degree will always be an integer with a positive value.
Now, finding the degree of given polynomial \(6x^5+5x^4-3x^2+x^7\).
It can be seen that the highest power of x on given polynomial \(6x^5+5x^4-3x^2+x^7\) is in the variable \(x^7\) and its power is 7.
So, 7 is the degree of given polynomial.
Therefore, the degree of given polynomial \(6x^5+5x^4-3x^2+x^7\) is 7.
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Related Questions
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
Answers
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Find the slope of -4,-1 in a fraction
Answers
Answer:
-4/-1
Step-by-step explanation:
During a thunderstorm yesterday, 600 millimeters of rain fell in 30 minutes. What is the unit rate for millimeters per minute?
Answers
9514 1404 393
Answer:
20 mm/min
Step-by-step explanation:
To find the rate in mm per minute, divide mm by minutes:
(600 mm)/(30 min) = 20 mm/min . . . unit rate
solve pls brainliest
Answers
Answer:
38.8
Step-by-step explanation:
Because 6 is 5 and higher so it rounds up
Answer:
38.8
Step-by-step explanation:
in 38.765 the number 7 is in the tenths place so you if the number to the right of it is 5or bigger you turn the 7 into an 8
Write 927 as a mathematical expression in expanded form.
Answers
Answer:
900 + 20 + 7
Answer:
\(900+20+7\)
Step-by-step explanation:
Write 927 as a mathematical expression in expanded form.
So we see the number 927. It has hundreds, tens, ones. So the only thing we have to do it separate the number by hundreds, tens, ones. So now, let's start!
Hundreds: \(900\)
Tens: \(20\)
Ones: \(7\)
We have 900, 20, and 7. Let's try adding them up to make 927.
\(900+20+7\)
\(=927\)
This is how we do 927 in expanded form.
Hope this Helps!
Which statement could most likely be a description of the org
expression 12 - 3x ?
a. The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought x + 3 flowers.
b. The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought 3x flowers.
c. The amount of money, in dollars, Eloise is left with, if she had
$3 and with that, she bought 12 flowers at $x each.
The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought x flowers at $3 each
Answers
the mass of sugar is 19kg.What is the total mass of 4 such jar of a sugar?
Answers
Answer: 76kg
Step-by-step explanation:
If the mass of sugar in one jar is 19kg, then the mass of 4 such jars of sugar can be found by multiplying the mass of one jar by 4:
Total mass of 4 jars of sugar = 4 × 19kg Total mass of 4 jars of sugar = 76kgTherefore, the total mass of 4 jars of sugar is 76kg.
__________________________________________________________
The mass of sugar is 19 kg. What is the total mass of 4 such jar of a sugar?
Answer:The total mass of four jars of sugar is 76 kg.
Solution and Explanation:The total mass of four jars of sugar can be found by multiplying the mass of one jar by 4:
\(\large\rm{Total\: mass = 19\: kg \times 4 = \boxed{\rm{\:76\: kg\:}}}\)
\(\therefore\) The total mass of four jars of sugar is 76 kg.
What is mass?- Mass is a measure of the amount of matter an object contains. It is a fundamental property of an object and is typically measured in units such as kilograms or grams. Mass is different from weight, which is the force of gravity acting on an object's mass. Mass is an intrinsic property of an object and remains constant regardless of its location, while weight can vary depending on the gravitational field it is in. Essentially, mass determines an object's resistance to acceleration or change in motion.
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A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Answers
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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Pair Sequence: This sequence is formed with pairs of numbers. Fill in the missing two pairs. (14, 5) , (21, 3) , (26, 8) , (33, 6) , (38, 11) , ( _____ , _____ ) , ( _____ , _____ ) , (57, 12) , (62, 8) , (69, 15) , (74, 11)
Answers
Answer:
(45,9), (50, 5)
Step-by-step explanation:
(14, 5) , (21, 3) , (26, 8) , (33, 6) , (38, 11) , ( _____ , _____ ) , ( _____ , _____ ) , (57, 12) , (62, 8) , (69, 15) , (74, 11
Starting with the first pair in the bracket: 14, 21, 26, 33, 38
It can be seen that 7 is added to 14 to give 21
Then 5 is added to 21 to give 26
This sequence continues that way, add 7 to a number, then add 5 to the next number
38 + 7 = 45
45 + 5 = 50
50 + 7 = 57
57 + 5 = 62
62 + 7 = 69
69 + 5 = 74
This gives 14, 21, 26, 33, 38, 45, 50, 57, 62, 69, 74
Then moving to the next pair, it is the addition of the two digit number of the first pair of the sequence
14
1 + 4 = 5
21
2 + 1 = 3
26
2 + 6 = 8
45
4 + 5 = 9
50
5 + 0 = 5
Therefore, the missing two pairs are
(45,9), (50, 5)
(14, 5) , (21, 3) , (26, 8) , (33, 6) , (38, 11) , (45, 9) , (50 , 5) , (57, 12) , (62, 8) , (69, 15) , (74, 11
Integrate V-1 divided by 1+2V+V^2
Answers
Answer:
\(\int\limits {\frac{V-1}{1+2V+V^{2} } } \, dv\) \(= log V + (\frac{2 }{1+v} )+C\)
Step-by-step explanation:
Step(i):-
Given
\(\int\limits {\frac{V-1}{1+2V+V^{2} } } \, dv\)
= \(\int\limits {\frac{V-2+1}{1+2V+V^{2} } } \, dv\)
\(= \int\limits {\frac{V+1}{(1+V)^{2} } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv\)
= \(= \int\limits {\frac{1}{(1+V) } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv\)
Step(ii):-
By using integration formula
\(\int\limits {\frac{1}{x} } \, dx =logx +C\)
\(\int\limits {x^{n} } \, dx = \frac{x^{n+1} }{n+1} +C\)
\(= \int\limits {\frac{1}{(1+V) } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv\\= log V + (\frac{-2(1+v)^{-2+1} }{-2+1} )+C\)
\(= log V + (\frac{-2(1+v)^{-1} }{-1} )+C\)
\(= log V + (\frac{2 }{1+v} )+C\)
A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
Answers
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
Three friends meet to share their rock collections:• Sarah has two rocks.• Camilla has three times as many rocks at Sarah.• Zachary has four times as many rocks as Camilla1) Draw a bar diagram to show how many rocks Zachary and Camilla have together.2) Show Zachary’s total using repeated addition.
Answers
Which is a counterexample for conditional statement shown? If two distinct points are graphed on a coordinate plane, then the line connecting the points can be represented with a function
Answers
Answer:
It's A: The points have the same x-coordinate value.
Solve the following absolute value inequality.
4x+7
3
< 8
Answers
Answer:
To solve the absolute value inequality 4x+7
3
< 8, we need to first isolate the absolute value expression on one side of the inequality. We can do this by dividing both sides of the inequality by 3, which gives us 4x+7<24.
Next, we need to consider two cases, depending on whether the quantity inside the absolute value is positive or negative. If the quantity inside the absolute value is positive, then the inequality will remain unchanged. In this case, we have 4x+7<24, which we can solve by subtracting 7 from both sides to get 4x<17, and then dividing both sides by 4 to get x<4.25.
If the quantity inside the absolute value is negative, then the inequality will be reversed. In this case, we have 4x+7>24, which we can solve by subtracting 7 from both sides to get 4x>17, and then dividing both sides by 4 to get x>4.25.
Therefore, the solution to the inequality 4x+7
3
< 8 is the set of all values of x that are less than 4.25 or greater than 4.25. We can write this solution in interval notation as (-∞,4.25)∪(4.25,∞), or as a union of two disjoint intervals: (-∞,4.25) and (4.25,∞).
Step-by-step explanation:
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit Which expression could be used to find the area, in square units, of the entire floor? A (12+7) x (12+7) B (12 × 7) + (12 × 7) X (10+7) x (2+7) (10 × 7) + (2 × 7)
Answers
the area of the given fig will be (12 × 7) +(12 × 7)
What is square?
Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.
a floor covered with white tiles and gray tiles.
the area of the given figure will be
(12 × 7) and another (12 × 7)
So the total area will be (12 × 7) +(12 × 7)
Hence the area of the given fig will be (12 × 7) +(12 × 7)
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Which of the following shows the correct solution steps and solution to 2×+ 7 = -11?
Answers
Answer:
x = - 9
Step-by-step explanation:
2x + 7 = - 11 ( subtract 7 from both sides )
2x = - 18 ( divide both sides by 2 )
x = - 9
The answer is:
x = -9
Work/explanation:
The point of equations is to find the variable's value by isolating it step-by-step.
For this equation, the variable is x.
To isolate it, I will perform a few operations.
First, I will subtract 7 from each side:
\(\sf{2x+7=-11}\)
\(\sf{2x=-11-7}\)
\(\sf{2x=-18}\)
Divide each side by 2
\(\sf{x=-9}\)
Hence, x = -9.
\(\rule{350}{4}\)
Is it possible for a number to be a product of 2, a product of 5,
and a product of 10? Explain.
Answers
Answer: Yes
Step-by-step explanation:
Yes, it is because if you multiply 2 and 5, you get 10. 2 and 5 LCM is also 10. If you check 2 and five multiples you see this is also proved true.
2 - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ...
5 - 5, 10, 15, 20 ...
19 Jaime bounces a basketball 30 times in 25 seconds. At that rate,
approximately how many times will she bounce the ball in 65 seconds?
A 78
B 80
C 55
D 64
Answers
Answer:
A.78
Step-by-step explanation:
\(\frac{30}{25sec}\) -----> \(\frac{78}{65sec}\) (scale by 2.6)
You cant get the answer by following these steps.
1. To find out how much we must increase with our scaling we must divide the denominators.
\(\sqrt[25]{65}\)= 2.6
2. Then, we do the scaling. Multiply the numerator and the denominator by 2.6.
num- 30 x 2.6= 78.0 (DONT FORGET UR DECIMALS)
dem- 25 x 2.6 = 65
3. Now you have your answer and all you need to do is show it in fraction form as seen below the words "step by step explanation"
Gook luck and pls give brainlist
add the Expression 3 y + 5 + y + 24
Answers
Answer:
29+4y
Step-by-step explanation:
Answer:
4y + 29
Step-by-step explanation:
Group all like terms together so variables are on one side and regular numbers are on the other, add all similar elements, then add all numbers together to form another expression.
3y + y + 5 + 24
3y + y = 4y
5 + 24 = 29
Answer: 4y + 29
The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.
Answers
With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.
What is the Venn diagram?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.
Circles that overlap share certain characteristics, whereas circles that do not overlap do not.
Venn diagrams are useful for showing how two concepts are related and different visually.
When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.
Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.
So, we need to find:
A ∪ B
Now, calculate as follows:
The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:
8 + 7 + 14 + 6 + 1 + 8 = 44
n(A∪B) = 44
Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.
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6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
Answers
Solve the formula for the given variable
-2x-6=4x
Helppp mee
Answers
PLS
HELP
DUE RNNN
WILL GIVE BRAINLIST
Answers
Answer:
Hello! answer: 21
Step-by-step explanation:
25 × 3 = 75
7 × 3 = 21 so n = 21 HOPE THAT HELPS!
Answer:
Answer: 21
Step-by-step explanation:
25 × 3 = 75
7 × 3 = 21 so = 21
the wild watermelons will be playing at silly sid's all weekend. On friday night, the band will play 3 shows. Each show lasts for 45 minutes, followed by a 30 min break. If the band starts at 7:00pm, when will they finish
Answers
5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.
Answers
Answer:
\(\text{27}\)
Step-by-step explanation:
Given that :
\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)
\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)
Number of poster signs that can be cut :
\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)
\(\text{Area of poster board} = 1 \ \text{yard}^2\)
Number of poster signs that can be cut :
\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)
\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)
\(1 \div \dfrac{1}{27}\)
\(1 \times \dfrac{27}{1}\)
\(\bold{= 27 \ poster \ signs}\)
What is the value x in the right triangle
Answers
Answer:
D) 2*(sqrt)6
Step-by-step explanation:
Answer:
74
Step-by-step explanation:
7 squared + 5 squared
74
The volume of this rectangular prism is 160 cubic yards. What is the surface area?
10 yd
surface area =
Submit
0
4 yd
square yards
4
Answers
Answer: The surface area of the rectangular prism is approximately 4 square yards.
Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
So, we have:
160 = lwh
Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.
Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:
lw = V/h = 160/10 = 16
Now, we have two equations:
lw = 16
wh = 160/10 = 16
Solving for w in the first equation, we get:
w = 16/l
Substituting this expression for w in the second equation, we get:
l(16/l)h = 16
Simplifying, we get:
h = 1
Therefore, the dimensions of the rectangular prism are:
length = l
width = 16/l
height = 10
Now, we can calculate the surface area of the rectangular prism using the formula:
SA = 2lw + 2lh + 2wh
Substituting the values we found, we get:
SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))
SA = 32/l + 20l + 160/l
To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:
dSA/dl = -32/l^2 + 20 + (-160/l^2)
0 = -32/l^2 + 20 - 160/l^2
52/l^2 = 20
l^2 = 52/20
l ≈ 1.44
Substituting this value of l back into the expression for SA, we get:
SA ≈ 4 square yards
Therefore, the surface area of the rectangular prism is approximately 4 square yards.
ABC and TSR have side lengths as indicated in the figure below. Given that the two triangles are similar, find the missing side length x
Answers
The length of the missing side x is 30 units.
Given,
ΔABC:
Length of side AB = 9 units
Length of side BC = 18 units
Length of side AC = 21 units
ΔTSR
Length of side TS = 15 units
Length of side TR = 35 units
Length of side SR = x
Given that ΔABC and ΔTSR are similar triangles
So,
\(\frac{AB}{TS}\) = \(\frac{BC}{SR}\) = \(\frac{CA}{TR}\)
Now, lets check:
9/15 = 18/x
9x = 18 × 15
x = (18 × 15) / 9
x = 2 × 15
x = 30
That is, the length of the missing side x is 30 units.
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Please answer this correctly
Answers
Answer: 30
Step-by-step explanation:
Q1: 120
Q3: 150
To find the interquartile range, subtract Q1 from Q3, which is 150-120. Therefore, the interquartile range of the kitten's weight, is 30
Answer: 30 grams
Step-by-step explanation:
The interquartile range is the range within the boxed areaa. You subtract the minimum value from the maximum value.
150 - 120 = 30
Question 2(Multiple Choice Worth 2 points)
(Linear Functions MC)
Which of the following tables represents a linear function?
x1 1 011
y-2-1012
x0 123 4
y-320-23
x-2-10 12
y 2 0
-102
x-2-10 1 2
y 3 1
-1-3-5
Answers
Table one and table four represent a linear function.
Which of the table represents a linear function?A linear function is simply a function that represents a straight line on the coordinate plane.
For a function to be linear, the differences of the y-values must be constant.
For table 1.
Let get the differences of the y-values
-1 - (-2) = 1
0 - (-1) = 1
1 - 0 = 1
2 - 1 = 1
Since the differences of the y-values are all 1 ( constant ), table one is a linear function.
For table 2.
2 - (-3) = 5
0 - 2 = -2
-2 - 0 = -2
3 - (-2) = 5
Since the differences of the y-values are not the same ( constant ), table two is not a linear function.
For table 3.
0 - 2 = -2
-1 - 0 = -1
0 - (-1) = 1
2 - 0 = 2
Since the differences of the y-values are not the same ( constant ), table three is not a linear function.
For table 4.
1 - 3 = -2
-1 - 1 = -2
-3 - (-1) = -2
-5 - (-3) = -2
Since the differences of the y-values are all -2 ( constant ), table four is a linear function.
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