Answers
Answer:
CommutativeStep-by-step explanation:
Multiplication is Commutative. the term can be multiplied in either order. the product will be the same as the previous product.
OAmalOHopeO
Related Questions
Please hurry I will mark you brainliest
The lines in which pair are parallel?
Answers
Answer:
C.
Step-by-step explanation:
Neither equation has a different slope, so they are parallel.
Help me plz I need help
Answers
Answer:
x = 14°
Step-by-step explanation:
x + 76° = 90°
or, x = 90° - 76°
so, x = 14°
Which is the correct form of the partial fraction decomposition for the expression StartFraction 4 x cubed + 3 x squared Over (x + 1) squared (x squared + 7) squared EndFraction?
Answers
Given:
The expression is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
To find:
The correct form of the partial fraction decomposition for the given expression.
Solution:
We have,
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
By partial fraction decomposition, it can be written as:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{A}{x+1}+\dfrac{B}{(x+1)^2}+\dfrac{Cx+D}{x^2+7}[/tex] ...(i)
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B}{(x+1)^2(x^2+7)}[/tex]
[tex]4x^3+3x^2=(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B[/tex]
[tex]4x^3+3x^2=x^3A+x^3C+x^2A+x^2B+2x^2C+x^2D+7xA+xC+2xD+7A+7B+D[/tex]
[tex]4x^3+3x^2=x^3(A+C)+x^2(A+B+2C+D)+x(7A+C+2D)+7A+7B+D[/tex]
On comparing both sides, we get
[tex]A+C=4[/tex]
[tex]A+B+2C+D=3[/tex]
[tex]7A+C+2D=0[/tex]
[tex]7A+7B+D=0[/tex]
On solving these equations, we get
[tex]A=\dfrac{23}{32},B=-\dfrac{1}{8},C=\dfrac{105}{32},D=-\dfrac{133}{32}[/tex]
Substituting these values in (i), we get
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Therefore, the required partial fraction decomposition is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Answer:
A on Edg
Step-by-step explanation:
got it right
In 1993 eggs cost $0.87 a dozen. In 2003 it cost $1.56 a dozen. How much did the eggs appreciate (percent of increase)?
Show your work.
Answers
Answer:
190%
Step-by-step explanation:
$1.56 is close to nearly 2x the value of $0.87
You can start by multiplying $0.87 by 2 to get $1.74
Now put $1.56 / $1.74
This gets you 0.89655172
By rounding this, you can get to 0.90
Move the decimal places two spots over to get a percentage = 90%
Since the eggs didn't decrease in value, you can add the 100% from the beginning of the problem.
100+90=190%
Please help me with question a), b) and c). I have been trying for so long. (Show working), thank you.
Answers
Answer:
b)48 km/hr (12 km in .25 hrs)
c) avg speed: 60/3 = 20 km/hr
Step-by-step explanation:
a)
.5 18
.75 18
1 30
1.5 30
2 40
2.25 40
3 60
James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?
Answers
Last year He was 7 years old.
His father is 4 times the age 7 x 4 = 28
Last year his dad was 28, so this year he is 29.
Combined age this year = 29 + 8 = 37
51 - 37 = 14 years
14/ 2 people = 7 years
8 + 7 = 15
29 + 7 = 36
15 + 36 = 51
It will take 7 years.
HELP!!!!!
If anyone knows the answer please tell me as soon as possible PLEASE!!!!
Answers
Answer:
Trapezium (An acute trapezium to be exact)
Step-by-step explanation:
Draw all four co-ordinates on a cartesian plane. We know these co-coordinates are the vertices (corners), so draw a line connecting all four points and observe what shape you have.
Your reasoning for why it is a trapezium can include the following points.
Trapeziums are a flat, closed shape, having 4 straight sides, with one pair of parallel sides.
We can say its an acute trapezium since the bottom two angles are unequal and both measure less than 90 degrees
which ordered pair is the best estimate for the solution to the system?
Answers
Answer:
(-2, 5)
Step-by-step explanation:
Plug each ordered pair in both equations and see if they fit in BOTH equations.
Question 8 of 49
Which definition best describes skew lines?
O A. Lines that intersect at a right angle
O B. Lines that intersect
O C. Lines that do not intersect and are not in the same plane
O D. Lines that do not intersect and are in the same plane
Answers
Find the value of the polynomial:
Answers
Answer:
107
Step-by-step explanation:
5x⁶-3x²+7-2x⁶-3x⁶+4x²
= x²+7 (terms with x⁶ cancels out)
= (-10)²+7
= 100+7
= 107
SOMEONE HELP ME PLEASE
Answers
Answer:
9/10 or 90 %
Step-by-step explanation:
There are 54+27+5+4 total people = 90
The people with diploma is 54+27 = 81
P (diploma) = number with diploma / total
= 81/90
=9/10
90%
What is the area of the figure below?
Answers
Answer:
25
Step-by-step explanation:
Travis makes and sells fishing lures. He
has 56 fishing lures that he is putting into
boxes. Each box can hold 5 fishing lures.
How many boxes can Travis fill
completely?
Answers
Explanation:
You divide 56 by 5 which will give you 11.2. Round down and you will get 11.
18. The graph of f(x) = ax2 opens
upward and is narrower than the
graph of g(x) = x2. Which of the
following could be the value of a?
Answers
How bad is my friend’s handwriting
Rate from 1-10
Answers
Answer:
6
Step-by-step explanation:
Not bad, i can read it. Mines worse xd
please help solve this (geometry)
Answers
Answer:
∠ 3 = 140°
Step-by-step explanation:
∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then
∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°
What number should be added to both sides of the equation to complete the square?
X^2+126= 11
Answers
Answer:
126/2 = 63^2
Step-by-step explanation:
HELPPP ME OUTTTTTT!!!!!!!
Answers
Answer:
3/5
Step-by-step explanation:
cos A = adjacent side / hypotenuse in a right triangle
cos A = 24/40
Cos A = 6/10
cos A = 3/5
Please hurry I will mark you brainliest
Grandpa khan’s age is 8 years is more than five times his grandson's age. The sum of their ages is 88 years. How old are they? Write an equation and “let statements”
Answers
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
see this attachment
Step-by-step explanation:
age of grandpa=72
age of grandson =16
Which numbers are integers? Check all that apply.
04
-15
-10
2.5
0-4
0.13
ILL GIVE BRAINLIEST
Answers
04
-15
-10
Integers cant be fractions, decimal amounts, or expressions
Reason: integers cannot be mixed numbers/decimals
On an electricity bill of $40.80, Mrs.
Miller pays only $38.76 because she pays
before a certain date. What percent
discount is Mrs. Miller allowed?
Answers
Answer:
100%_$40.80
? × _$38.76
Step-by-step explanation:
100%×$38.76÷$40.80=95%
Answer:
40.80
Step-by-step explanation:
Given the circle with equation x+ y =17
a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work
b). Find the equation of the perpendicular bisector of the chord DE
c). Verify that the perpendicular bisector from part b) passes through the center of the circle
Answers
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs
Answers
Answer:
usual number of yellow eggs = 12
Usual maximum = 21
Usual minimum = 3
Step-by-step explanation:
To solve this, we will use the expected value of a binomial probability.
The formula is;
E(X) = np
Where;
n is sample size
p is probability of success.
We are given;
n = 58
p = 21%
Thus;
usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12
From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.
Thus;
USL = n(p + 3√(p(1 - p)/n)
USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)
USL = 21.48 ≈ 21
LSL = n(p - 3√(p(1 - p)/n)
LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)
LSL = 2.87 ≈ 3
3uq. when u = 2 and q=6
Answers
Answer:
[tex]3uq \\ 3 \times 2 \times 6 \\ = 36[/tex]
Answer:
[tex]36[/tex]
Step-by-step explanation:
[tex]3uq \\ = 3(2)(6) \\ = 36[/tex]
Hope it is helpful....A is 2 times older than B. Identify the appropriate expression.
Answers
Answer:
C. 2x
Step-by-step explanation:
Let
B's age = x years
A's age = 2 times older than B
= 2 * x
= 2x years
A's age = 2x years
For instance, if B's age is 17 years
Then,
A's age = 2x
= 2(17)
= 34 years old
please help with this problem!
Answers
Answer:
Second option
Step-by-step explanation:
Let's assume that x is 1 and y is 3
a) [tex]\frac{1}{2}[/tex] < [tex]\frac{3}{2}[/tex] = true
b) -1 < -3 = false
c) 1+2 < 3+2 = true
d) 2 x 1 < 2 x 3 = true
the volume of metal in a scale model of a metal high tension tower is 54 cm cubed. The scale used was 1:50. it required 50 mm of paint to give the model one coat. what volume of metal would be required to build the high tension Tower
Answers
Answer:
6,750,000 cm³ = 6.75 m³
Step-by-step explanation:
a scale version means that the ratio of every dimension of scale vs. real object is 1/50.
volume is created by multiplying 3 dimensions.
so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000
so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.
or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)
that would be 6.75 m³ of metal.
9 Josie parents opened a college
savings account that pays yearly
simple interest of 5.5%. They opened
the account with $500 and adds $50
each month to her account. How
much money is in her account at the
end of 4 years?
Record your answer and fill in the
bubbles on your answer document.
Be sure to use the correct place
value.
Answers
Answer:
$1,281.00
Step-by-step explanation:
We start by calculating the value $50 added each month after the first month
= $50 × 11
= $550
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
P = Principal = 500 + 550
= $1050
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Solving our equation:
A = 1050(1 + (0.055 × 4)) = 1281
A = $1,281.00
Therefore, there would be $1,281.00 after 4 years.
first answer gets marked brainliest!!!
Answers
Answer:
in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s
hope that helps ❤
Please help me with this
Answers
Answer:
A
Step-by-step explanation:
