The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .
The given polynomial is 7x³ + 5x + 4x⁵ + 2x²
To find the degree of the polynomial we will write the equation down in the descending power of x
which is ,
4x⁵ + 7x³ + 2x² + 5x
Here , the highest power of the variable that appears with nonzero coefficient is 5.
So ,degree of the polynomial is said to be 5.
The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.
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What is an equivalent function?
Equivalent function has the same domain and range. Equivalent and equal terms are not the same both have different meanings in mathematics.
A function is said to be equal if its Domain and Range are identical. Complete solution, step by step: A and B should be two sets. Now, by function, we mean a rule that guarantees that f(a)=b exists for all a. As a result, set A is referred to as the Domain of File and set B as the Range Off.
Despite being comparable to 1 + 1, 2 is believed to be equal to 2. When two items or amounts are exactly the same, as when 12 is equal to 12, yet 12 is equivalent to 2/4 since they reflect the same value, we can say that they are equal.
In mathematics, an equivalent can be defined in one of two ways. This is thus because there are various definitions for the concept of equivalent in mathematical theory. Equivalent refers to the mathematical notion that distinct terms and expressions having a similar value are treated equally.
Equivalent is not the same as equal in mathematics. While equivalent indicates similar but not the same, equal means the same in all respects.
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Factorize 4x squared - 25y squared
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
here we go~
[tex]\qquad \sf \dashrightarrow \: 4x {}^{2} - 25y {}^{2} [/tex]
[ identity : a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: (2x) {}^{2} - (5y) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 5y)(2x - 5y)[/tex]
friend me right quick pls
Answer:
ok ok ok i gotchuu
Step-by-step explanation:
Answer:
ok will do!
Step-by-step explanation:
A line passes through the point (-4,-3) and has a slope of -3.
Answer:
your answer would be y=-3x-15
Step-by-step explanation:
Which equation describes a line with a slope of 2/5 that passes through (0,4)
Answer: y = 2/5x + 4
Step-by-step explanation:
We will write a point-slope form equation for this line, then simplify it into a slope-intercept form equation.
Given point-slope form:
➜ m is the slope
➜ (x1, y1) is the point given
y - y1 = m(x - x1)
Substitute values in:
y - (4) = (2/5)(x - (0))
Distribute 2/5:
y - 4 = 2/5x - 0
Add 4 to both sides of the equation:
y = 2/5x + 4
Step-by-step explanation:
since we have the slope and a point, we can start with the point-slope form
y - y1 = a(x - x1)
a is the slope, (x1, y1) is the given point.
y - 4 = (2/5)(x - 0) = 2x/5
y = 2x/5 + 4
or
y = (2/5)x + 4
Mhanifa please help! This is already late and I need it done ASAP!
Answer:
Given all right triangles
Use Pythagorean to find the missing side:
a² + b² = c², where c- hypotenuse=1=
x² = 6² + 3² = 45x = √45x = 6.7=2=
x² = 12² + 5² = 169x = √169x = 13=3=
x² = 2² + 5² = 29x = √29x = 5.4The dimensions of a right rectangular prism are 0.25 m, 0.36 m, and 0.14 m.
What is the volume of the prism?
Answer: I would multiply the lxwxh and do 0.25 x 0.36 x 0.14 which in all would give you 0.0126 m2.
Step-by-step explanation:
23. We are laying new carpet in the classroom which is 84 square feet. If the width is 5 feet
more than the length, what are the dimensions of the floor?/
Let l be the length of the classroom in feet, and w be the width of the classroom in feet. We know that l + 5 = w and l * w = 84.
We can use these two equations to solve for the length and width of the classroom.
First, we can solve the second equation for l:
l = 84 / w
Substituting this expression for l into the first equation gives us:
84 / w + 5 = w
Expanding the left side of the equation gives us:
84 / w + 5 = w
84 / w = w - 5
84 = w^2 - 5w
w^2 - 5w - 84 = 0
This is a quadratic equation that we can solve using the quadratic formula:
w = (5 + sqrt(5^2 - 4 * 1 * -84)) / 2 * 1
= (5 + sqrt(25 + 336)) / 2
= (5 + sqrt(361)) / 2
= (5 + 19) / 2
= 24 / 2
= 12
Now that we know the value of w, we can substitute it back into the equation l = 84 / w to find the value of l:
l = 84 / 12
= 7
Therefore, the dimensions of the classroom are 7 feet by 12 feet.
ILL BRAINLIEST YOU PLEASE HELP ME
Answer
Option A
61 in, 60 in, 11 in. represents three sides of a right triangle
Step-by-step explanation:
By Using Pythagorean Triplet we can say that
61 in, 60 in, 11 in. represents three sides of a right triangle
FOR VERIFICATION ONLY:(11)² + (60)² = (61)²
121 + 3600 = 3721
3721 = 3721
Thus, 3721 = 3721 represents three sides of a right triangle
-TheUnknownScientist
What is the first thing you do when giving a problem with a number line
Answer:
You first find the number on the number line, and go from there.
Step-by-step explanation:
If it's addition (Ex. 4+12), you would start at 4, and move right 12 spaces. Since the answer is 16, you would land on the 16th space. Think of it as a board game...
If you roll a 6, and you are on space number 4, you move up 6 spaces. This would represent addition. It's the opposite if you land on a "Move Back" space. You land on that space, and you roll a 4. If you are on the 6th space, you go back to the second space. This would represent subtraction. Hope this helps! Mark Branliest, pls!
Find the measure of the missing angles.
Answer:
d=52 e=77 f=51
Step-by-step explanation:
The opposite side of 52 is 52 because they are intersecting 1dk, same thing with 77, and when you have both of those just add all the angles and subtract it from 360
Answer:
d = 52
e = 77
f = 51
Hope this helps!
Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?
Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:
Odds in favor = probability of event occurring / (1 - probability of event occurring)
In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:
Odds in favor = 0.56 / (1 - 0.56)
= 0.56 / 0.44
= 1.27
So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.
It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.
Step-by-step explanation:
The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11
Math question!!!!!!!!!!
Answer:
A recursive sequence , also known as a recurrence sequence, is a sequence of numbers indexed by an integer and generated by solving a recurrence equation. The terms of a recursive sequences can be denoted symbolically in a number of different notations, such as , , or f[ ], where. is a symbol representing the sequence.
Step-by-step explanation:
I hope this helps?
Answer:
A recursive sequence , a sequence of numbers indexed by an integer and generated by solving a recurrence equation.
please help me do I will really appreciate it so much :)
Answer:
ZYX=39
ZXY=64
X=1
Step-by-step explanation:
A circular sector has an 8.26-inch radius and a 12.84-inch arc length. There is another sector that has the same area and the same perimeter. What are its measurements
The dimensions of a different sector with the same area and perimeter are An alternative sector's radius is 6.42 inches. An alternative sector has an arc length of 16.52 inches.
What does an arc's length signify?The distance between two places along a segment of a curve is known as the arc length.
Sector radius, r = 8.26 inches
Sector arc length = 12.84 inches
Sector perimeter = 2r + length of the arc
The specified sector's perimeter is equal to 2 x 8.26 x 12.84 x 29.36 inches.
The circle's circumference is 2 + 8.26 + 16.52.
The specified circle's area is A = 8.262 * 68.2276.
Sector area, A = 53.0292 inch2
Consequently, we have;
2R plus A equals 29.36 inches
A·R = 53.0292 × 2
that provides;
R² + 53.0292 = 14.68·R
R² - 14.68·R + 53.0292 = 0
using a graphing calculator to factor yields;
(R - 6.42)·(R - 8.26) = 0
R = 6.42 or R = 8.26
R = 8.26 is the measurement for the first sector.
Due to the distinctions between the sectors, we have;
R = 6.42 inches is the radius of the other sector.
The length of the arc, A = 29.36 - 2R
∴ A = 29.36 - 2 × 6.42 = 16.52
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Give an example of a quadratic function that has a maximum value. How do you know that it has a maximum value?
An example of a quadratic function that has a maximum value is the parabola defined by the equation y = -(x-3)^2 + 4.
What is quadratic function?A quadratic function is a type of polynomial function that can be written in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which can either open upward or downward depending on the value of the leading coefficient (a).
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It is usually written with an "=" sign between the two expressions, such as y = 2x + 3 or x^2 + y^2 = 1. Equations can be used to model real-world situations, and solving an equation means finding the values of the variables that make the equation true.
We can determine that this function has a maximum value by looking at the leading coefficient of the quadratic term (x^2). In this case, the coefficient is -1, which means that the parabola opens downward. Therefore, since the parabola opens downward, the vertex of the parabola is the highest point of the parabola, which means that it is a maximum point.
Also we can find the vertex of the parabola by using the formula x = -b/2a, in this case x= -0 / 2*-1 = 3/2 =1.5, and using this value in the function, we get the y value which is 4, so the vertex is (1.5,4) which confirms that the function has a maximum value at (1.5,4)
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MUST ANSWER QUESTION!
A palindrome is a number that is read the same backwards as forwards, for instance 12321. How many 5-digit palindromes with different neighboring digits are there? (Note that 01210 is not considered a 5-digit number and the palindrome 52525 has different neighboring digits. )
There are 24 ,5-digit palindromes with different neighboring .
Define probability.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Can probability be greater than 1?No, it is always between 0 t0 1.
Such a palindromic number should be abcba
2a+2b+c=14
Thus c has to be even and we need
a+b=14−c/2 and we can choose for a any value from 1 to (14−c)/2
Thus the number of such palindromic numbers is
7+6+5+4+3=25
starting from c=0 up to c=8
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Julie remembered that the 4 digits of her locker combination were 4, 9, 15, and 22, but not their order. What is the maximum
number of attempts Julie has to make to find the correct combination?
Answer:
256
Step-by-step explanation:
4^(4)=256, I'm pretty sure that's the answer. i looked up and after some research found that.
Answer: 256
Step-by-step explanation:
Easiest way is to do 4x4x4x4
X + 15 _> 64.5 in inequality from
Answer:
X ≥ 49.5
Step-by-step explanation:
X + 15 ≥ 64.5
Subtract 15 from both sides
X ≥ 49.5
So, the answer is X ≥ 49.5
an arithmetic sequence has these properties a1=2 an=an-1+5
what are the first four terms in the sequence
a. 2,5,7,12
b.2,5,10,15
c.2,7,12,17
d.2,7,9,14
Please solve this or find an answer key.
Answer:
1 - 2 1/4
2 - 2 2/4 (simplified) 2 1/2
3 - 7 3/11
4 - 2 1/7
5 - 7 3/8
6 - 4 3/10
7 - 6 2/8 (simplified) 6 1/4
8 - 6 10/12 (simplified) 6 5/6
9 - 6 2/4 (simplified) 6 1/2
10 - 4 1/2
11 - 5 1/8
12 - 3 2/3
13 - 6 5/12
14 - 2 3/5
15 - 5 2/3
_______________________________________
1 - 42/5
2 - 20/3
3 - 27/5
4 - 52/7
5 - 10/3
6 - 17/3
7 - 40/11
8 - 28/5
9 - 29/3
10 - 25/3
11 - 86/9
12 - 11/3
13 - 15/2
14 - 5/2
15 - 38/7
One of the legs of a right triangle measure 7 centimeters in the other leg measures 3 centimeters. Find the measure of the hypotenuse.
Answer:7.6
Step-by-step explanation:
Simplify algebraic expression
Answer: 40
Step-by-step explanation:
We will substitute x = 8 and simplify the given expression.
Given:
6x-x
Substitute:
6(8) - 8
Multiply:
48 - 8
Subtract:
40
a large interquartile range shows the data is
A large interquartile range shows the range in values of the central 50% of the data.
select a graph that shows the relationship between the height form which the ball is dropped , x, and the height of the first bounce y
Answer:
a?
Step-by-step explanation:
Select the correct answer. Which value in this data set is an outlier? 4, 5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9, 7 A. 1 B. 2 C. 3 D. 9
So, on solving the provided question, we can say that the outlier from the following data set will be 8.
What is outlier?Outliers are data points that deviate from the distribution's typical pattern. a value that is "outside" of the record's typical range (either significantly lower or substantially greater). For instance, both 3 and 85 are "outliers" when the scores are 25, 29, 3, 32, 85, 33, 27, 28, etc. Move away. Look for values that are significantly larger or significantly smaller than all other values to identify outliers. Because it is significantly smaller than all other values, Value 4 is an outlier. An observation that differs unusually from other values in a population sample taken at random is referred to as an outlier.
outlier = 4, 5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9, 7
outlier = 8
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a) If 8* =
1
64
find the value of x.
Answer:
x = -2
Step-by-step explanation:
[tex]8^{x}[/tex] = [tex]\frac{1}{64}[/tex]
So to solve exponent.
8x= 1 /64
log(8x)=log( 1/ 64 ) (Take log of both sides)
x*(log(8))=log( 1 /64 )
x= log( 1 /64 ) / log(8)
x=−2
Hope this helps!
Parker could pay for 45% of his college tuition with his scholarship. The remaining $10,500 he paid for with a student loan. What was the cost of Parker's tuition? Show your work
The cost of parker's tuition is $19,090.9
How to calculate the cost of parker's tuition?Parker could pay 45% of his college tuition with his scholarship
He paid for the remaining $10,500 with a student loan
Therefore the cost of parker's tuition can be calculated as follows
100% - 45%
= 55%
let y represent the cost of parker's tuition
55y/100= 10500
0.55y= 10500
y= 10500/0.55
y= 19,090.9
Hence Parker tuition cost is $19,090.9
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What is the area in square feet for this shape?
Answer:
Area of figure = 68.13 feet² (Approx.)
Step-by-step explanation:
Given:
Length of rectangle = 9 ft
Width of rectangle = 6 ft
Diameter of semicircle = 6 ft
Find:
Area of figure
Computation:
Radius of semicircle = Diameter of semicircle / 2
Radius of semicircle = 6 / 2
Radius of semicircle = 3 ft
Area of figure = Area of rectangle + Area of semicircle
Area of figure = [Length x( Width] + [πr²]/2
Area of figure = [9 x 6] + [(3.14)(3)²]/2
Area of figure = [54] + [(3.14)(9)]/2
Area of figure = [54] + [28326]/2
Area of figure = [54] + [14.13]
Area of figure = 68.13
Area of figure = 68.13 feet² (Approx.)
2.) Una pizza cuesta $12. Alfred compró 4_2/3 pizzas. ¿Cuanto gastara le sobra de $60? a.) $56 b.) $14 c.) $4
Answer:
$56 or $4 left over from $60
$ 56 o $ 4 sobrantes de $ 60
Step-by-step explanation:
4 2/3 pizzas would cost $56
4 2/3 pizzas costarían $ 56