Answer:
40cm
Step-by-step explanation:
Centimeter means "one hundredth of a meter," so:
1 m = 100 cm
How many meters times 100 will get you how many cm:
2/5m = ? cm
2/5 (100) = ? cm
200/5 = ? cm
40 = ? cm
2/5m = 40 cm
The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where
Answer:
[tex]f(x) = -1[/tex]
[tex]g(x) =6[/tex]
[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]
Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:
[tex]P = \frac{9x + 11}{6x^2 + 23x + 21}[/tex]
And the decomposition is:
[tex]\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
The solution is as follows:
[tex]P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Substitute the expression for P
[tex]\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Expand the numerator of the polynomial
[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Take LCM
[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}[/tex]
Cancel out both denominators
[tex]9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)[/tex]
Represent f(x) as A and g(x) as B
[tex]9x + 11} = A*(3x + 7) + B*(2x + 3)[/tex]
Open bracket
[tex]9x + 11} = 3Ax + 7A + 2Bx + 3B[/tex]
[tex]9x + 11} = 3Ax + 2Bx+ 7A + 3B[/tex]
[tex]9x + 11} = (3A + 2B)x+ 7A + 3B[/tex]
By comparison:
[tex]3A + 2B = 9[/tex] ---- (1)
[tex]7A + 3B =11[/tex] ---- (2)
Make B the subject in (1)
[tex]B = \frac{9 - 3A}{2}[/tex]
Substitute [tex]B = \frac{9 - 3A}{2}[/tex] in (2)
[tex]7A + 3(\frac{9 - 3A}{2}) = 11[/tex]
Multiply through by 2
[tex]2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2[/tex]
[tex]14A + 3(9 - 3A) = 22[/tex]
[tex]14A + 27 - 9A = 22[/tex]
Collect Like Terms
[tex]14A - 9A = 22-27[/tex]
[tex]5A = -5[/tex]
[tex]A = \frac{-5}{5}[/tex]
[tex]A = -1[/tex]
Recall that:
[tex]B = \frac{9 - 3A}{2}[/tex]
[tex]B = \frac{9 - 3 * -1}{2}[/tex]
[tex]B = \frac{9 + 3}{2}[/tex]
[tex]B = \frac{12}{2}[/tex]
[tex]B = 6[/tex]
A = -1 and B = 6
[tex]3A + 2B = 9[/tex] ---- (1)
[tex]7A + 3B =11[/tex] ---- (2)
So:
[tex]f(x) = A[/tex]
[tex]f(x) = -1[/tex]
[tex]g(x) =B[/tex]
[tex]g(x) =6[/tex]
And the decomposition is:
[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]
Lara jogs 1\5 kilometer in 1\6 hour. What is Lara's rate in kilometer per hour?
Answer:
1 1/5 km/h
Step-by-step explanation:
1x6=6
Take the numerator and multiply denominator
Answer:
Step-by-step explanation:
Velocity is distance divided by time.
v=(km/5)/(hr/6)
v=(km/5)(6/hr)
v=(6/5)(km/hr)
v=1.2 km/hr
At a football game, 35% were supporting the visiting team. If 2119 people attending
supported the home team, what was the total number of people attending the game?
Answer:
3260
Step-by-step explanation:
yeah ok
Connor invested $59,000 in an account paying an interest rate of 2.6%
compounded continuously. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the account after
10 years?
Answer:
$76,518.88
Step-by-step explanation:
continuous interest
pe^(rt)
we have
59000e^(.026*10)
76518.88
for every 16 basketball players in crystal county schools there are 48 soccer players. if the ratio remains constant and there are 64 basketball players how many soccer players are there
Answer:
16:48
64:192
Step-by-step explanation:
16:48
64:x
64/16=4
48 x 4=192
Math: Ammon and Nakia volunteer at an animal shelter. Nakia worked 3
more hours than Ammon. They each worked a whole number of hours.
Together they worked more than 27 hours. What is the least number of
hours each worked?
If x is to 8 as 15 is to 12, then x equals...
Answer:
12/8 = 6/4 = 3/2; 2/3 * 15 = 10
Step-by-step explanation:
Find cos(B) A.) 7/3 B.) 3/7 C.) 3/58 D.) 7/58
Which ordered pair is a solution? Select all that apply
y + 3 = 4 (x - 7)
(5, 5)
(10, 9)
(8, 1)
(-1, 5)
Answer:
(10, 9) and (8, 1)
Step-by-step explanation:
you can just use substitution
jamie has 7 candles each a different color, how many ways can she arrange them in a candelebra that hold 3 canles
Aretha is rappelling down the side of a cliff. The graph shows her height above the ground in feet as a function of time in seconds as she descends. What is Aretha’s height above ground when she begins rappelling down? At!what rate does she descend?
Answer:
I believe in you and believe you can do it, keep up the great work :)
Step-by-step explanation:
Chicken wing
Chicken wing
Hot dog and baloney
Chicken and macaroni
Chillin with my homies
50 POINTS AND BRAINLEST
Which line is the graph of y=-2x+2
Answer:
line b
Step-by-step explanation:
y = -2x+2 has a slope of -2 (means it's going downhill) and a y-intercept of 2. Line b is the only line that matches this description.
Answer: Line B sir
Step-by-step explanation:
y = -2x+2 has a slope of -2 (means it's going down) and a y-intercept of 2. Line b is the only line that matches this description.
What is 13/20 as a part to part ratio
65%
Convert fraction (ratio) 13 / 20 Answer: 65%
1.
Identify the vertex, complete the table, and graph g(x) = (x - 4)2 – 5.
y
g(x)
X
Vertex:
Answer:
g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).
Make a table showing several x-values and the corresponding y-values:
x g(x) = (x - 4)^2 - 5 (x, y)
0 (-4)^2 - 5 = 11 (0, 11)
4 (4 - 4)^2 - 5 = -5 (4, -5)
what is this ???? ??????????????
Answer:
I READY
Step-by-step explanation:
Solve the quadratic function by factoring
Y=x2-2x-48
please help! due soon!
Answer:
its to blurry
Step-by-step explanation:
Help would be much appreciated
What is the solution of the system of equations shown in the graph below?
A. (-1, 0) and (-3, 0) B. (0, 1) and (0, -3)
C. (-2, -1) D. (-1, -2)
Answer:
Step-by-step explanation:
d
25-year-old patient receives the following medication dosages daily: 1.5 milligrams, 2.25 milligrams, and 0.75 milligrams. What is his total dosage?
Answer:
Step-by-step explanation:
4.45
1.5 + 2.25 + .75 = 4.45 milligrams
angle 1 and 2 are complementary
angle 1 =x
angle2 = (3x+30)
Answer:
Angel 1 is 45
Angel 2 is the same
Step-by-step explanation:
hello can you help me solve this inequality?
-7(-8k + 8) > 336
Answer:
k > 7
Step-by-step explanation:
Divide each term by − 7 and simplify.
-8k + 8 < -48
Move all terms not containing k to the right side of the inequality.
-8k < -56
Divide each term by − 8 and simplify.
k > 7
hope this helps :)
x^2+y^2+10x+12y+25=0x
2
+y
2
+10x+12y+25=0
Answer:
220^x=y will be the answer :)
12 children in art class have to share 8 packages of clay so that everyone gets the same amount. How much clay can each child have?
Answer:8 y sobran 4
Step-by-step explanation:
8entre 4
Answer:
1.5
Step-by-step explanation:
I need help on this plz
Answer:
x = 3
Step-by-step explanation:
You can use cross multiply.
8x = 6 x 4
8x = 24
x = 3
Answer:
x = 3
Step-by-step explanation:
Multiply x by 8 to get 8x
Multiply 6 by 4 to get 24
Place 8x and 24 into an equation to get 8x = 24
Divide 8x and 24 by 8
The 8 from 8x is canceled out, leaving the answer:
x = 3
Patrick had $10. Then, he saved $3.75 each week for 5 weeks. How much money does he have
now?
Answer:
Step-by-step explanation
$3.75x5=18.75
18.75+10=$28.75
Step-by-step explanation:
So he starts with 10. That would be our y-intercept. That means that 3.75 is the slope because he saves that amount of money each week. So the equation would be y = 3.75x + 10.
The x represents the number of weeks (5), so we will plug that into the equation (y = 3.75(5) + 10).
Multiply 5 and 3.75 to get 18.75
Add 10 to get 28.75
therefore the answer is 28.75Which value is a solution of the inequality 9 >_ 1/2x
18
20
24
36
If (x + 1)(x - 3) = 12, then which of the following statements is true?
x+1=0 or X-3=0
X +1 = 12 or X - 3 = 12
OX-5 = 0 or x + 3 = 0
Answer:
x=−3 or x=5
Step-by-step explanation:
Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?
Answer:
b
Step-by-step explanation:
A ________________is one of one hundred equal parts of a whole.
Answer:
hundredth
Step-by-step explanation:
Ten equal parts of a whole is called TENTH.
Hundred equal parts of a whole is called HUNDREDTH.
Thousand equal parts of a whole is called THOUSANDTH.
Hence, a hundredth is one of one hundred equal parts of a whole.