The partial fraction of [tex]\frac{x+4}{x^{2} +x}[/tex] is as follows
[tex]\frac{x+4}{x^{2} +x} =-\frac{3}{x+1}+\frac{4}{x}[/tex]
Partial fractionPartial fraction is the result of writing a rational expression as the sum of two or more fractions.
Therefore,
[tex]\frac{x+4}{x^{2} +x} =\frac{A}{x+1}+\frac{B}{x}[/tex]
Let's find the zeros of (x + 1) and (x)
when x = -1
Ax + B(x + 1) = x + 4
x + 4 = A(-1) + B(-1 + 1)
-A = -1 + 4
A = -3
when x = 0
A(0) + B(0 + 1) = 0 + 4
B = 4
Therefore,
[tex]\frac{x+4}{x^{2} +x} =-\frac{3}{x+1}+\frac{4}{x}[/tex]
learn more on partial fraction here: https://brainly.com/question/24594390
Would the answer be 19 1/3 or 1? Please help!
Answer:
19 because it greater and im guessing
four times as many as 4 pencils is p
Answer:
[tex]16=p[/tex]
Step-by-step explanation:
Equation from problem:
[tex]4(4)=p[/tex]
Solve:
[tex]16=p[/tex]
is a diameter of D. If m∠BDC = 140°, what is the measure of ?
60°
180°
40°
140°
Answer:
To find ab you need to subtract 140 degrees from 180 degrees
That should equal 40 degrees
Step-by-step explanation:
Answer:
the answer to the question is 40
2 1/3x4 1/5 in simplest form
Answer:
[tex]{ \tt{2 \frac{1}{3} \times 4 \frac{1}{5} }} \\ \\ = { \tt{ \frac{7}{3} \times \frac{21}{5} }} \\ \\ = { \tt{ \frac{147}{15} }} \\ \\ = \frac{49}{5} \\ \\ = 9 \frac{4}{5} [/tex]
Answer:
8 1/15 (Simplest form).Step-by-step explanation:
Given equation:
2 1/3 * 4 1/5Solve the whole numbers first.
2 * 4 = 8Let's solve fractions, in a form what I call, the mashed fraction:
1/3 * 1/5= [tex]\frac{1 * 1}{3 * 5}[/tex]= 1/15Add both of them up:
8 + 1/15= 8 1/15Can't simplify it, so 8 1/15 is the answer.
Find the slope of the line passing through the points (9, -6) and (3, -2).
Answer:
[tex]\frac{-6-(-2)}{9-3} \\-\frac{2}{3} or -0.67[/tex]
Step-by-step explanation:
The formula for finding the slope of a line is [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}} \\[/tex]
Assign a number to each equation say (9, -6) is Equation 1 and (3, -2) is Equation 2.
Substitute the values into the equation.
Solve.
Have a nice day.
a farmer in China discovers a mammal hide that contains 25% of it's original amount of c-14
Answer:
Plato answer is 13863
Step-by-step explanation:
Plato answer is 13863
A project requires a round, concrete patio on the back of a house with a diameter of 24′. How much concrete would be required to pour the patio 6″ thick? Express your answer in cubic yards.
Answer:
8.38 yd³
Step-by-step explanation:
Use volume of a cylinder formula: [tex]\pi r^2h[/tex]
where r is the radius and h is the height.
Radius = half of diameter = 24 ÷ 2 = 12 ft
Height = 6 in
We need to express the answer in yards, so first convert radius and height to yards:
1 yard = 3 ft = 36 in
⇒ Radius = 12 ft = 4 yards
⇒ Height = 6 in = 1/6 yards
Substituting these values into the volume of a cylinder formula:
[tex]\pi r^2h[/tex] = [tex]\pi[/tex] x 4² x 1/6
= [tex]\frac{8}{3} \pi[/tex]
= 8.38 yd³ (nearest hundredth)
I need help with this, please
What do you need help with?
Give me a true statement about g(×)and f(×)
Answer:
It Gx+Fx
Step-by-step explanation:
Find the area of triangle whose base is 6 cm and height is 8 cm
Answer:
24cm squared
Step-by-step explanation:
do base x height = 48 then as it is half of a square you half it.
If a microbiologist cultured 3000 cells at a rate of 7%, how many days will it take for 360 new cells to reproduce?
Answer:A = A0ekt
where A0 = 3000, k = 7% (or 0.07)
A = (3000 + 630) = 3630 = 3000e[(0.07)t]
Our goal is to find t
[(3630)/(3000)] = e[(0.07)t]
ln{[(3630)/(3000)]} = (0.07)t
(0.07)t = 2*ln(11/10)
t = = 2.7 days
Step-by-step explanation:
Please help with question 6
Answer:
y = -3x - 1
Use the methods on your other questions.
what is this question
Answer:
MT is a segment bisector of the ray PQ
Answer:
Ray MTExplanation:
You can clearly see that when ray MT intersected PQ, it has showed two small lines between the equal distances. This means that if Ray MT intersected the line, they are both equal in length. Hence, Ray MT is the segment bisector.
given Q= 100K^0.5 L^0.5 w=50 r=40 show how to determine the amount of labor and capital that the firm should use in order to minimize the cost of producing 1,118 units of output. what is the minimum cost?
In this exercise we have to use the knowledge of function to write the minimum production cost, so we have to:
[tex]K=13.975[/tex]
Thus writing the function that corresponds to this will be:
[tex]MPK = Q'(K) = 50L^{0.5}/K^{0.5} = 25\\MPL = Q'(L) = 50K^{0.5}/L^{0.5} = 100[/tex]
Now calculating the minimum production cost we have:
[tex]MPK/r = MPL/w\\MPK/40 = 100/50\\MPK =80\\MPK = 50L^{0.5}/K^{0.5} = 80\\K=(1.118/80)= 13.975[/tex]
See more about functions at brainly.com/question/14674614
256 divided by 16 ratio table problem
Answer:
256 divided by 16 is 16.
Step-by-step explanation:
16 can fit into 256, 16 times!
(image) The figure below is an isosceles triangle surmounted by a semi-circle. Find the area of the entire region.
5 5 40°
Answer:
12.53
Step-by-step explanation:
∠BCA = (180°-40°)/2 = 70°
Laws of Sines: CA/sin 40° = AB/sin 70° = 5/sin 70°
CA = 5/sin 70° * sin 40° = 3.40
area of semicircle CA = (3.1416 * 1.70²) / 2 = 4.54
By Heron's Formula, area of triangle ABC:
1/4 √(a+b+c) (a+b-c) (b+c-a) (c+a-b) = 1/4 * √13.4*3.4*3.4*6.6
= 7.99
Entire region area = 4.54 + 7.99 = 12.53
Rewrite (7/9) ^-1 without an exponent
Answer: 9/7
Step-by-step explanation:
(7/9)^-1 means you have to find the reciprocal, which is 9/7
Answer:
9/7
Step-by-step explanation:
with any negative power, we have to find the reciprocal of the base. in this case, it is 9/7. then, apply the exponent to the fraction. now, it is 9^1 over 7^1. we can just write it as 9/7 because if the exponent is 1, it is just the value of the base, so it is not written.
ZA is opposite
B
A
A. BC
O O
B. AB
C. C
D. AC
E. ZA
F. AB and Ac
Simplify: (12 - 7) + (10 x 3) + (3 + 2)
a)7
b)11
c)35
d)45
Answer:
none
Step-by-step explanation:
not sure but the answer is 40 cause 12-7=5 10x3=30 and 3+2=5 and 5+30+5=40
Answer:
[tex](12 - 7) + (10 \times 3) + (3 + 2) \\ \\ = 5 + 30 + 5 \\ \\ = 40 \: is \: none[/tex]
# keep learning#
# Bora 7 #
# £
Pls help due tomorrow!!!
Slope = -7; (4, -30)
Answer:
y = -7x - 2
Step-by-step explanation:
To write this into an equation, we need to use the y = mx + b formula.
y = mx + b
-30 = -7(4) + b <--- Substitute 4 as x, and -30 as y.
-30 = -28 + b
+ 28 +28 <--- Add 28 on both sides of the equation.
-2 = b
Final equation:
y = -7x - 2
Answer:
equation: y = -7x - 2Step-by-step explanation:
using the formula: y - y1 = m ( x - x1 )
: y - -30 = -7 ( x - 4 )
: y + 30 = -7x + 28
: y = -7x + 28 - 30
: y = -7x - 2
can you answer this question for me?
Answer: (A)c and e
(B) 4.8 times
Step-by-step explanation:
What value of b will make the expressions −13.2x+b and −2.2(6x−2.4)+4.3 equivalent?
We know that:
−13.2x + b = −2.2(6x − 2.4) + 4.3Solution:
−13.2x + b = −2.2(6x − 2.4) + 4.3=> −13.2x + b = -13.2x + 5.28 + 4.3=> −13.2x + b = -13.2x + 9.58 => b = 9.58Hence, the value of b to make this equation equivalent is 9.58
an angle is 74 degrees more than the measure of its supplementary angle. what is the measure of each angle
Answer:
53° and 127°
Step-by-step explanation:
180 - 74 = 106
106/2 = 53
53 + 74 = 127
127 + 53 = 180
Ethan saves $1.25 on Monday and $4.25 on Friday each week. How long would it take him to save enough for a $99 pair of AirPods?
Answer:
18 weeks
Step-by-step explanation:
Ethan earns $5.50 per week (5.5w) in an attempt to reach $99 (99)
5.5w=99
divide both sides by 5.5 and you get:
w=18
Therefore, Ethan must work 18 weeks in order to save enough for a $99 pair of AirPods
Use a calculator to find the angle measure to the nearest degree for sin-1 (0.8660).
45 Pts!
Answer:
[tex]sin^{-1} (0.866)[/tex] = 60°
Step-by-step explanation:
→ [tex]sin^{-1} (0.866)[/tex]
→ 60°
9 cu yd 17 cu in multiplied times 135
Answer:
20,655 I think
Step-by-step explanation:
9*17*145 = 20,655
Solve with explanation pls Simplify the expression -2x - 4y + 10 + 2x - 2y - 6. Type your answer in without spaces
Answer:
-6y + 4Step-by-step Solution:
-2x - 4y + 10 + 2x - 2y - 6=> (-2x + 2x) + (-4y - 2y) + (10 - 6)=> (-6y) + (4)=> -6y + 4Hence, the simplified result is -6y + 4.
20(base three)-11(base three) . Carry out the operation in binary system
20₃ - 11₃ = 20₃ - 10₃ - 1₃
… = 10₃ - 1₃
… = 2₃
Put another way, we "borrow a 1" from the 3¹ digits place:
20₃ = 1(3)₃ - 11₃ = 2₃
But this is just the number 2 (in base 10), which in base 2 would be 10₂.
Help with this question
Answer:
Rita earned $90,510
Step-by-step explanation:
If you multiply each sale price by 0.03 (what 3% is in decimal form), you'd get the amount Rita made for each house. Add all these up, and you get $90,510, the total amount she made in one year.
36 x 1/5
Show your work
Answer:
7 1/5 or 36/5
Step-by-step explanation:
First, multiply 36 by the numerator which is 36 x 1.
Second, 36 x 1 is 36 so then it turns out to be 36/5.
Third, it your choice rather you want it to be improper or mixed fraction.
Then, if you want it to be improper fraction your answer would be 36/5 but if you want it to be mixed fraction divide 36 with 5.
Lastly, you get 7 1/5.
