The remainder of the division of the given polynomial by (x - 3) is 966.
From the question, we have
f(x) = 4x^5 - x - 3
The remainder of the division is the f(x) at x= 3
f(3) = 4*3^5 - 3 - 3
=972-6
=966
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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(13.4-0.896 and 8.6 + 9.16 pls help thx
The simplified terms are 12.504 and 17.76 when the terms are in decimal.
Given that,
The numbers are 13.4-0.896 and 8.6 + 9.16
We have to simplify the terms.
We know that,
When a full number and a fraction are combined, decimals are used. The "." symbol, often known as a decimal point, will be used to demarcate the entire number from the fraction in this instance.
Take the numbers,
13.4-0.896
Subtracting the terms
12.504
Take the numbers,
8.6 + 9.16
Adding the terms
17.76
Therefore, The simplified terms are 12.504 and 17.76 when the terms are in decimal.
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9/g +2h +5 when g=3 and h=6
Answer:answer is 20
Step-by-step explanation:9/3=3 then add that to 2 times 6 which is 12+3=15 then 15+5+20
A. Solve for x. B. Is the triangle equilateral?
Answer:
x=8
No it’s not an equilateral
Step-by-step explanation:
Since side AB is about the same length as BC we can set them equal to each other
x-1=7
+1 +1
x=8
This is not an equilateral because if you fill in X for the third side you will get 5
8-3=5
- 12 = 10n - 40n + 3
Answer:
[tex]\sf n=\cfrac{1}{2}[/tex]
Step-by-step explanation:
[tex]\sf -12=10n-40n+3[/tex]
[tex]\sf 10n-40n+3=-12[/tex]
Combine like terms:-
[tex]\sf \:(10n-40n)=-30n[/tex]
[tex]\sf -30n+3=-12[/tex]
Subtract 3 from both sides:-
[tex]\sf -30n+3-3=-12-3[/tex]
Simplify:-
[tex]\sf -30n=-15[/tex]
Divide both sides by -30:-
[tex]\sf \cfrac{-30n}{-30}=\cfrac{-15}{-30}[/tex]
Simplify:-
[tex]\sf n=\cfrac{1}{2}[/tex]
_________________
Hope this helps!
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For her softball uniform,Meredith has a green,white,or striped jersey.She also has white or green shorts.If Meredith chooses a jersey and shorts randomly ,what is the probability that she will go to softball practice ima striped jersey and green shorts?
Answer: Give me brainliest or your mean.
Step-by-step explanation: 1/3 jersey 1/2 short. 1/3 x 1/2 = 1/6 possibility.
Select the correct answer. The table shows the balance of an investment account at the beginning of each year the account was held. Assuming that no other deposits have been made to the account, which statement describes the account's growth?
Year/////Account Balance
1: $500.00
2: $510.00
3: $520.20
○The account is growing linearly at an annual interest rate of 4.04%.
○The account is growing exponentially at an annual interest rate of 4.04%. MUTAT
○The account is growing linearly at an annual interest rate of 2.00%.
○The account is growing exponentially at an annual interest rate of 2.00%.
The statement that describes the account growth is D. The account is growing exponentially at an annual interest rate of 2.00%.
How to calculate the growth?From the information, the table shows the balance of an investment account at the beginning of each year the account was held.
The percentage change for the second year will be:
= (510 - 500) / 500 × 100
= 10/500 × 100
= 2%
The percentage change for the third year will be:
= (520.20 - 510) / 510 × 100
= 10.20/510 × 100
= 2%
Therefore, there's. 2% growth.
The correct option is D.
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Answer:
D
Step-by-step explanation:
Figure JKLMN is reflected across the y-axis to form figure J'K'L'M'N'.
What are the coordinates of the vertices of figure J'K'L'M'N'?
Decide if each statement describing figures JKLMN and J'K'L'M'N' is true or false. Choose True or False for each statement.
a. L' is located at (-3, 4).
b. M' is located 4 units left of the y-axis.
c. The y-coordinate of N' is the opposite of the y-coordinate of N.
d. J'K' = JK
e. M' is located at (-4, 1).
The co-ordinates of J'K'L'M'N' are (0,5), (-2,3), (-3,4), (-4,1), (-1,2)
What is Co-ordinate Geometry?
Coordinate geometry is a field of mathematics that assists in displaying geometric forms on a two-dimensional plane and learning the attributes of these figures.
Solution:
The co-ordinates of J'K'L'M'N' are (0,5), (-2,3), (-3,4), (-4,1), (-1,2)
From the figure it can be clearly observed that
a) L' is located at (-3,4) - True
b) M' is located 4 units left of the y - axis - True
c) The y - co ordinate of zN' is the opposite of the y - co ordinate of N - False
d) J'K' = JK - False
e) M' is located at (-4,1) - True
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Convert 7/10 into a decimal
six ants simultaneously stand on the six vertices of a regular octahedron, with each ant at a different vertex. simultaneously and independently, each ant moves from its vertex to one of the four adjacent vertices, each with equal probability. what is the probability that no two ants arrive at the same vertex?
The probability that no two ants will reach the same vertex is 5/256.
Plane, point B and attention. Ants that move to D can come from either E or C. Ants moving to E can come from either B or D of points A and F of the octahedron. Therefore, there are 2 degrees of freedom to decide which ants move to D, 2 degrees of freedom to decide which ants move to E, and 2 degrees of freedom to decide which ants move to A.
So there are 2× 2× 2=8 ways an ant can move to different points.
There are 8 ways for ants to move to different points.
Points B, there are a total of 8 + 4 + 8 = 16 ways Ant can move to her different points. Aligned the square so that point B is defined as point where the ant moved from point A.
An ant can actually move from point A to 4 different points, so there are a total of 4×20=80 ways an ant can move to different points.
Each ant acts independently and has 4 different points to choose from.
So each ant has a 1/4 chance of moving to the desired location. Since he has 6 ants, the probability of appearance is
= 1/4096
So, the desired answer is 80/4096
= 5/256
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evaluate the integral. check your result by differentiation. (remember the constant of integration.) (x2 4)32x dx
The solution of the given integral [tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]
Given;
To evaluate the value of a given integral;
[tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex]
Let;
[tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]2\cdot \int \left(x^2+4\right)^3xdx[/tex]
Now, assume u = x² + 4
→ [tex]2\cdot \int \left(x^2+4\right)^3xdx[/tex] = [tex]2\cdot \int \frac{u^3}{2}du[/tex]
→ [tex]2\cdot \frac{1}{2}\cdot \frac{u^4}{4}[/tex]
→ [tex]2\cdot \frac{1}{2}\cdot \frac{u^4}{4}[/tex]
→ [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]
By adding constant C;
[tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]+ C
Hence, the solution of the given integral [tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]
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Given: AB || CE
Find: ED
Answer:
49
Step-by-step explanation:
18/42=21/ED
18 ED=882
ED=49
helene was paid a total of $33.00 for the 6 hours she worked. she continues to be paid at the same rate. how long would it take her to earn $165.00 for working?
The number of hours that helena need to work to generate 165 dollars is
33 hours.
Helena has to work hours to earn $165. 33
Algebraic equations are equations with
unknown variables. The alphabet letters are used to represent algebraic equations.
Total $33.00 in her 6 hours she worked.
This question should find out how long it takes her to earn her $165.00 in that job.
let x hours be required work hours to earn $165.00 ..
This can be expressed in algebraic equations as:
x= 6× 165/33
x= 990/33
x= 30
Hence, helna have to work thirty hours to earn $165.00 ..
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help me guys ..........
Answer:
here you go....
Step-by-step explanation:
I need to write an equation the Aline’s with the stars so that the purple ball will fall on to the line and hit all the stars
Answer:
y = - [tex]\frac{3}{4}[/tex] x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 12, 4 ) and (x₂, y₂ ) = (0, - 5 ) ← coordinates of 2 end stars
m = [tex]\frac{-5-4}{0-(-12)}[/tex] = [tex]\frac{-9}{0+12}[/tex] = [tex]\frac{-9}{12}[/tex] = - [tex]\frac{3}{4}[/tex]
the lowest star is on the y- axis at (0, - 5 ) ⇒ c = - 5
y = - [tex]\frac{3}{4}[/tex] x - 5
What is "-1/6" as a whole number
Answer:
-0.16
Step-by-step explanation:
Divide the answer :)
Find the value of x.
a
x = [?]
x
In the given circle the length of the chord marked x is
We know that the length of the chord is bisected by the perpendicular from the center of the circle.
Therefore the length of the chord is 7 × 2 = 14 units.
Again from the chord properties of a circle we know that, chords that are equidistant from the center are equal.
Since both the chords are at a distance of 9 units hence both chord lengths
Hence the length of the other chord = 14 units.
∴ x = 14
The segment of a line that joins any two points on a circle's circumference is known as the chord. It must be emphasized that its longest chord is its diameter, which runs through the center of the circle.
The circle and its chord are depicted in the diagram below. In the center of the circle, equal-length chords subtend equal angles.
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The floor of a canyon has an elevation of −14. 5 feet. Erosion causes the elevation to change by −1. 5 feet per year. How many years will it take for the canyon floor to have an elevation of −31 feet?.
It will take 11 years for the canyon floor to have an elevation of −31 feet.
Define equation.A mathematical statement known as an equation makes two expressions' values equal. It is a mathematical statement that says "this is equivalent to that," in other words. The left side appears to be a mathematical expression, the centre appears to be an equal sign, and the right side is another mathematical expression. The right side of the equation frequently has a value of zero.
Given,
The first step in this situation is to define the variables.
So, we have:
x: the age in years
y: height in feet
The equation used to model the issue is then written.
So, we have:
y = 1.5x - 14.5
Then, at a -31 foot elevation, we have:
-31 = 1.5x - 14.5
For years,
x = -16.5/1.5
x = 11
In 11 years it will take for the canyon floor to have an elevation of −31 feet.
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Factor: 4x + 18 =
I don't understand Pre-algebra
Answer:
2(2x+9)
Step-by-step explanation:
Just break each number up
2 X 2 = 4
2 X 9 = 18
2(2x+9)
Answer:
-4.5
......
......
M(3,-2) is reflected in the line y=5?
The coordinates of the image of reflecting (3, -2) across the line y = 5 are (3, 12)
What is the image of the point after the reflection?
When we reflect a point (x, y) across a horizontal line of the form:
y = a
The coordinates of the image after the reflection are:
(x, 2a - y)
In this case we have the point (3, -2), and we reflect this across the line y = 5, then the new coordinates are:
(3, 2*5 - (-2))
(3, 10 + 2)
(3, 12)
The coordinates after the image are (3, 12)
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PLEASE HELP ME!!
A soccer team receives a discount on each jersey purchased. The original price of each jersey is x dollars. The team buys 18
jerseys for a total of (18x-36) dollars. What can you conclude about the discount?
If the team buys 18 jerseys for a total of (18x-36) dollars then we can conclude that the discount the team has received is $36.
According to the question,
We have the following information:
A soccer team receives a discount on each jersey purchased. The original price of each jersey is x dollars. The team buys 18 jerseys for a total of (18x-36) dollars.
Now, the original price of 18 jerseys will be 18x.
Now, when 36 is subtracted from 18x to find the total cost then it means that this is the discount from the original price.
Hence, if the team buys 18 jerseys for a total of (18x-36) dollars then we can conclude that the discount the team has received is $36.
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Lance recieved 10 more sweets than Randal and Rema recieved three times the amount that was given to Lance and handal. The total number of sweets that was shared is 120. How many did Rema recieve?
Answer:
Rema receives 90 sweets
Step-by-step explanation:
See attached image
Can u help me please
The slope of the line as shown in the diagram is 4/3.
What is slope?The slope of a line is the ratio of the amount that y increases as x increases some amount.
To calculate the slope from the diagram, we use the formula below.
Formula:
S = Δy/Δx........... Equation 1Where:
S = Slope.From the graph,
At x = 30, y = 20
And at x = 60, y = 60
Therefore,
Δy = 60-20 = 40Δx = 60-30 = 30Substitute these values into equation 1
S = 40/30S = 4/3Hence, the slope of the is 4/3.
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Seema used compatible numbers to estimate the product of (–25. 31)(9. 61). What was her estimate? –250 –240 240 250.
Estimate product of (-25.31) (9.61) using compatible numbers is equal to -250.
As given in the question,
Given expression is equal to :
( -25.31 ) ( 9.61 )
Compatible numbers to calculate the estimate product we have,
Compatible number for ( -25.31 ) is equal to ( -25 ) .
-25 > -25.31 > -26
-25.31 is more nearer to -25 .
Now, 9 < 9.61 < 10
Compatible number for 9.61 is equal to 10 as 9.61 is more close to 10.
( -25.31 ) × ( 9.61 )
= ( -25 ) × (10)
= 250
Therefore, estimate product of (-25.31) (9.61) using compatible numbers is equal to -250.
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What is the decimal value of 5/6? Show your work using long division.
Answer:
0.83 repeating 3
Step-by-step explanation:
5 goes in the box and 6 goes outside. you can't put 6 into 5 so you would put a 0 on the top and a decimal point. now you would write a 0 next to the 5 and you would do 6×8=48 and so put 8 next to the 0 and the decimal point. then subtract 50-48 which will be 2. Put another 0 next to the 50 and bring it down. you will have 20 which you do 6×3=18. and so put a 3 next to 0.8 and you will subtract 20-18=2. It will be repeating so put a line at the top of 3 to show that it's repeating.
When b is 9 what is 24/b + 8? In my homework, it says it is not 10, 11, 10.6 or 10.666.
Answer:
10.7
Step-by-step explanation:
The only thing I can think of is 10.7. Because when you do this problem you get 10.6666666667. So I'm assuming you're to round it. There is no other way to solve the problem that wouldn't get you either 10.6666666667 or 10.7.
Answer:
10.66
Step-by-step explanation:
[tex]\frac{24}{9}[/tex] + [tex]\frac{8}{1}[/tex]
[tex]\frac{24}{9}[/tex] + [tex]\frac{72}{9}[/tex]
[tex]\frac{96}{9}[/tex]
10.666...
Find x and y please
10 points
The value of x is 15 and the value of y is 4 for the given triangle.
According to the question,
We have the following information:
We have a figure of triangle and a line parallel to the base is drawn. Some measurements of the sides are given.
Now, to find the values of x and y, we will use Basic Proportionality theorem which states that the ratio of the corresponding sides are equal.
For the larger triangle, we have:
12/y = 18/6
Using the cross multiplication method:
y = 12*6/18
y = 4
Now, using the same theorem for the smaller triangle:
12/y = x/5
12/4 = x/5
Using the cross multiplication method:
x = 15
Hence, the value of x is 15 and the value of y is 4 for the given triangle.
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(a) A(-1,4)and B(3,2) are the end points of a line segment AB. Determine (i) The gradient of AB. (ii) The coordinates of the midpoint of AB. (iii) The equation of the perpendicular bisector of AB.
The slope of the line is -1/2, the coordinates of midpoint is (1,3) and the equation of perpendicular bisector is y = 2x + 1
What is slope?The slope of a line is a measure of its steepness.
Given that, a line segment has end points = A(-1,4) and B(3,2)
(i) Slope = (y2 - y1)/(x2 - x1) = -1/2
(ii) Coordinates of the midpoint of a line = (Xm, Ym) = (x₁ + x₂)/2, (y₁ + y₂)/2
(Xm, Ym) = (-1+3)/2, (4+2)/2 = (1,3)
(iii) The slope of the two lines perpendicular to each other are negative reciprocal of each other, so, slope of the line perpendicular to the given line is = 2
Standard equation of a line = y = mx + c
Since the line is the perpendicular bisector of AB, it will pass through (1,3)
Solving for c,
3 = 2*1 + c
c = 1
Therefore, the equation of the of line perpendicular to AB is
y = 2x + 1
Hence, the slope of the line is -1/2, the coordinates of midpoint is (1,3) and the equation of perpendicular bisector is y = 2x + 1
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Conider the polynomial function []
p
given by p(x)=5x38x2−3x1
A(x). Evaluate the function at x=−2
x
The polynomial function p(x) = 5[tex]x^{3}[/tex] +8[tex]x^{2}[/tex] - 3x +1 value at x = -2 is -1
given that
polynomial function p(x) = 5[tex]x^{3}[/tex] +8[tex]x^{2}[/tex] - 3x +1 at x=-2
To find the value of a function at x = -2, put in all the places of in the function.
Polynomial is made up of two words, poly, and nomial. "Poly" means many, and "nomial" means the term, and hence when they are combined, we can say that polynomials are "algebraic expressions with many terms".
Polynomial functions are expressions that may contain variables of varying degrees, coefficients, positive exponents, and constants.
Here,
p(x) = 5[tex]x^{3}[/tex] +8[tex]x^{2}[/tex] - 3x +1 put x =-2
p(-2) = 5[tex](-2)^{3}[/tex]+8[tex](-2)^{2}[/tex] - 3(-2)+1
p(-2) = 5(-8) + 8(4) + 6+1
p(-2) = -40+32+6+1
p(-2) = -40+39
p(-2) =-1
At So, the value of the function at x= -2 is -1
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It takes 5 minutes for your printer to print 40 papers
How long does it take for your printer to print 12 papers?
Answer:
1.5 minutes (or 1 minute and 30 seconds)
Step-by-step explanation:
5 : 40 = x : 12
x = (5 * 12)/40
x = 12/8
x = 1.5 minutes
Answer: 1 min and 50 seconds
Step-by-step explanation:
first, you have to find the unit rate of how many papers the printer can make in a min which is 40 divided by 5 which gets you a unit rate of 8 for every minute then you take your 12 paper and divide it by your unit rate of 8 per minute which gets you how long it would take to print 12 papers which equal 1.5
Create the graph of this quadratic function below please!
x2+3x-108
Make sure to have the two roots and axis of symmetry AKA the vertex.
The graph of this quadratic function (x² + 3x - 108) is shown in the image attached below. Also, the two roots of this quadratic equation (x² + 3x - 108) are -12 and 9, while the axis of symmetry (vertex) is equal to -1.5.
What is a quadratic function?In Mathematics, a quadratic function is a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph.
Mathematically, the graph of every quadratic functions is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function would always form a parabolic curve. For this quadratic function, the graph is a upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero.
Next, we would determine the axis of symmetry (vertex) of this quadratic function:
Axis of symmetry (vertex), Xmax = -b/2a
Axis of symmetry (vertex), Xmax = -3/2(1)
Axis of symmetry (vertex), Xmax = -1.5.
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