Which is the quotient and remainder, written as partial fractions, of x^2+8/x^2-5x+6
IT'S C
Answer: 2
Step-by-step explanation: x^2+8/x^2-5x+6 = x4 - 5x3 + 6x2 + 8 /x^2=2
Find roots (zeroes) of : F(x) = x4 - 5x3 + 6x2 + 8
See theory in step 3.2
In this case, the Leading Coefficient is 1 and the Trailing Constant is 8.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,8
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 20.00
-2 1 -2.00 88.00
-4 1 -4.00 680.00
-8 1 -8.00 7048.00
1 1 1.00 10.00
2 1 2.00 8.00
4 1 4.00 40.00
8 1 8.00 1928.00
2
Answer:
thankyoupinkpigforanswers
Step-by-step explanation:
alsokeyboardbroke:(
Helppp please!!!!!!
The access code to a house’s security system consists of eight digits. How many different codes are available if each digit can not be repeated? Please show work!
Answer:
Consider one of eight positions separately from all others. There are 10 possible ways to choose
a digit to place on this position since there are ten digits from 0 to 9, and this choice is
independent of all other positions since each digit can be repeated and there is no restriction on
how to choose digits.
So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,
therefore the total number of possible codes equals to ways it can be done for each independent
position multiplied altogether. This is 10 × 10 × … × 10 = 108
(100 million).
Answer: 108 different codes.
Step-by-step explanation:
If a recipe needs 1 1/2 of sugar, how much sugar do I need to make 2/3 of a batch of cookies?
Answer:
1 cup of sugarStep-by-step explanation:
1 1/2 cup of sugar is needed for a full batch
To make 2/3 of a batch sugar is needed:
1 1/2 × 2/3 = 3/2 × 2/3 = 1 cupSolve for m
3/5m = -15
Answer:
- 25
Step-by-step explanation:
Step 1:
3/5m = - 15 Equation
Step 2:
m = - 15 ÷ 3/5 Divide
Step 3:
m = - 15/1 × 5/3 Multiply
Answer:
m = - 25
Hope This Helps :)
Answer:
m=-25
Step-by-step explanation:
To solve, make the variable "m" by itself. To do that, multiply the fraction "5/3" (or divide 3/5) to both sides.
3/5(5/3)m=-15(5/3)<--- 3/5 and 5/3 are reciprocals and cancel out. -15 times 5/3 equals -25.
m=-25
2 ways to show 2,059 written in expanded form?
Answer:
Step-by-step explanation: 2,000 blocks o hundreds 50 tens 9 ones
2,000+0+50+9
Answer:
Hi I'm Euijin :D
Welcome to Brainly
The Answer is
2059.0 and (2000,50,9)---------------------------
Find the average rate of change of the function over the given interval.
f(t) = 2t^2 − 1, [5, 5.1]
Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.
Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
[tex]\frac{f(5.1)-f(5)}{5.1 - 5}[/tex] = [tex]\frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}[/tex] = [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
HELP ASAP LOTS OF POINTS AND BRIANLY
Answer: Sorry doesn't really show anything of pdf...
Step-by-step explanation: I will help but it's not showing or it's just me!?
what is the simplest radical form of the square root of 49 ?
Answer:
7
Step-by-step explanation:
Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was discovered, the famous detective Hercule Poirot noted that Ratchett had a body temperature of 28 degrees. The body had cooled to a temperature of 27 degrees one hour later. If the normal temperature of a human being is 37 degrees and the air temperature in the train is 22 degrees.
Required:
Estimate the time of Ratchett's death using Newton's Law of Cooling.
Answer: Mr. Ratchett died approximately at 2AM.
Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.
Mathematically, it is represented as:
[tex]\frac{dQ}{dt}=\alpha.A.(T_{s}-T)[/tex]
This differential equation solved, gives the solution:
[tex]T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}[/tex]
where
[tex]T_{s}[/tex] is temperature of the environment
[tex]T_{0}[/tex] is the initial temperature of the body
k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body
t is time required to change the temperature
For the murder on the Orient Express, first determine parameter k.
In 1 hour, Mr. Ratchett's body decrease 1°:
[tex]27=22+(28-22)e^{-1k}[/tex]
[tex]5=6e^{-k}[/tex]
[tex]e^{-k}=\frac{5}{6}[/tex]
[tex]ln(e^{-k})=ln(0.834)[/tex]
k = 0.1823
Using the parameter, find estimate time:
[tex]28=22+(37-22)e^{-0.1823t}[/tex]
[tex]6=15e^{-0.1823t}[/tex]
[tex]ln(e^{-0.1823t})=ln(0.4)[/tex]
0.1823t = 0.9163
[tex]t=\frac{0.9163}{0.1823}[/tex]
t ≈ 5 hours
The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.
A company that sells circular hot tubs is ordering covers. The radius of each hot tub is 4 feet. They need to order 250 of them and the cost of the material is .75 per square foot. how much is it going to cost the company
Answer:
9420Step-by-step explanation:
Radius of a tub = 4 feet
Number of tubs = 250
Total area
250*π*4^2 = 250*3.14*16 = 12560 sq. feetCost of material
12560*0.75 = 94209. You carn $5.50 per hour.
Worked 30 hours last week.
What was your straight-time pay?
HIVING BRAINLIEST
What is the area of the
rectangle shown below?
3х2 – 4х +6
9 – x
ОООО
3х3 + 8x — 36
3х3 – 4х2 + 6x
33 22х2 + 30 – 36
3х3 + 142 - 18х +36
Answer:
A = 3x³ - 22x² + 30x - 36
Step-by-step explanation:
Area of a Rectangle: A = lw
Step 1: Define
l = 3x² - 4x + 6
w = x - 6
Step 2: Substitute and Evaluate
A = (3x² - 4x + 6)(x - 6)
A = 3x³ - 4x² + 6x - 18x² + 24x - 36
A = 3x³ - 22x² + 30x - 36
Answer:
The expression is not factorable with rational numbers.3x2-4x+6
Step-by-step explanation:
So its the 2nd one 3х3 – 4х2 + 6x
Hope this helps. ;P
Evaluate the following.
i)4/5-1/3+2/9 ii)1/2-1/4+1/8
Answer:
[tex]1) \frac{4}{5} - \frac{1}{3} + \frac{2}{9} = \frac{4 \times 9}{45} - \frac{1 \times 15}{45} + \frac{2 \times 5}{45} \\ = \frac{36 - 15 + 10}{45} = \frac{31}{45} \\ \\ \\ 2) \frac{1}{2} - \frac{1}{4} + \frac{1}{8} = \frac{4 \times 1}{8} - \frac{2 \times 1}{8} + \frac{1}{8} \\ \frac{4 - 2 + 1}{8} = \frac{3}{8} [/tex]
what is the range of the following table
Answer:
Domain: { 3 , 4 , 5 , 6 }
Range: { 0 , 1 , 2 , 3 }
Step-by-step explanation:
The domain is the set of all the values of x . The range is the set of all the values of y .
The range is set of all y values so the range is {0,1,2,3}.
For the domain, it's the set of all x values.
Convert 3200 kilograms into pounds. Round your answer to the nearest whole number.
Answer:
7054.792 rounded to the nearest whole it will be 7055
Step-by-step explanation:
The required converted value is 7054 pounds, which is 3200 kilograms into pounds.
As we all know, unit conversion is the process of transferring a quantity from one unit of measurement to another.
To convert kilograms to pounds, you can use the conversion factor: 1 kilogram = 2.20462 pounds.
It is the process of multiplying a given quantity by a conversion factor that combines the two corresponding units.
To convert 3200 kilograms to pounds, you can multiply it by the conversion factor:
3200 kilograms x 2.20462 pounds/kilogram ≈ 7054.08 pounds
Rounding this to the nearest whole number, the conversion is approximately 7054 pounds.
Learn more about the unit conversion here:
brainly.com/question/3810064
#SPJ6
Find the value of each variable
What’s the x intercept?
Answer:
The x-intercept would be (1,0)
Step-by-step explanation:
The point (1,0) is where the line intercepts (or crosses) the x-axis, therefore making it the x-intercept.
Helppppp
Find the equation of the line parallel to y = -1/2 - 4 and goes through the point (-2,-5)
Answer:
The equation of the line is y = - 1/2 x - 6
Step-by-step explanation:
The equations of parallel lines have the same slopes and different y-intercepts
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)To find b substitute x and y in the equation by the coordinates of a point on the line∵ The given equation is y = -1/2 x - 4
→ By comparing it by the form of the equation above
∴ m = -1/2
∵ Parallel lines have the same slope
∴ The slope of the line = -1/2
→ Substitute it in the form of the equation above
∴ y = - 1/2 x + b
∵ The line passes through the point (-2, -5)
→ To find b substitute x by -2 and y by -5
∴ -5 = -1/2 (-2) + b
∴ -5 = 1 + b
→ Subtract 1 from both sides
∴ -5 - 1 = 1 - 1 + b
∴ -6 = b
→ Substitute the value of b in the equation above
∴ y = - 1/2 x + (-6)
∴ y = - 1/2 x - 6
The equation of the line is y = - 1/2 x - 6
Solve for y in the equation 6y + 8x = 24 A. Y = -5/6x - 2 B. Y = -x + 18 C. y = -4/3x + 4 D. Y= -2x +4
Answer:
y = -4/3x +4
Step-by-step explanation:
6y + 8x = 24
Subtract 8x from each side
6y + 8x-8x = -8x+24
6y = -8x+24
Divide each side by 6
6y/6 = -8x/6 +24/6
y = -4/3x +4
Write the recursive formula then determine the next term of 3,10,24,52
Answer:
f[1] = 3f[n] = 2·f[n-1] +4108Step-by-step explanation:
We observe that first differences of the given numbers are ...
10 -3 = 7
24 -10 = 14
52 -24 = 28
That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.
We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.
Then our recursive relation is ...
f[1] = 3 . . . . the first term
f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4
The next term is 2·52 +4 = 108.
Which of these products is positive?
Select all that apply.
-0.2. (12.5)
-1/12.(-6 1/2)
3.2.(-1/900)
-32.0
-4.7.(-1)
Answer:
3.2, 12.5
Step-by-step explanation:
Help please?
Which graph shows y=3⌊x⌋−4?
Top Left A.
Top Right B.
Down Left C.
Down Right D.
Answer:
a
start at the (0,-4) and go up 3 and over one. answer "A" fits this criteria
After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alumni were in favor of firing the coach. a simple random sample of 100 alumni from the population of all living alumni was taken. 64 of the alumni in the sample were in favor of firing the coach. let p represent the proportion of all living alumni who favored firing the coach. suppose the alumni association wished to see if the majority of alumni are in favor of firing the coach. denote p true as the true(population) proportion of all living alumni who favor firing the coach.
A) what hypotheses should one test if one suspects that p true is less than 70%?
a) H0: ptrue<0.7; Ha:ptrue=0.7
b) H0: ptrue=0.7; Ha:ptrue<0.7
c) H0: ptrue\neq0.7; Ha:ptrue>0.7
d) H0: ptrue=0.7; Ha:ptrue>0.7
e) H0: ptrue\neq0.7; H a:ptrue=0.7
B) What is the P-value, P associated with the test statistic for the test in part A)?
a) 0.0476
b) 0.1902
c) 0.0951
d) 0.64
e) 0.06
C) Is it reasonable to conclude that Ptrue is less than 70%? Use a significant level of 10%.
a) YES
b) NO
Answer:
A)
a) H0: ptrue < 0.7; Ha: ptrue = 0.7
B)
d) 0.64
C)
b) No
Step-by-step explanation:
Hypothesis is a technique which is used to test the event against an alternative hypothesis. The null hypothesis is set as a basis which is tested against an alternative hypothesis to make a conclusion. This null hypothesis is analysed against a probability using significance level and then a conclusion is made to accept or reject the null hypothesis.
What is 2000 + 2000 - 2000 X 2000 divided by 2000
Answer: 1
Step-by-step explanation:
2000 + (2000-2000)(2000) / 2000
2000 + (0)(2000) / 2000
2000 + 0 / 2000
2000 / 2000
1
A ship left shore and sailed 240 kilometers east, turned due north, then sailed another 70 kilometers. How many kilometers is the ship from shore by the most direct path?
Your Answer will be:
The ship from the shore is 250 Km away by most direct path.
What is Pythagoras theorem?The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
Base= 240
Perpendicular= 70
so, distance between ship from shore by the most direct path
= √70² + 240²
=√ 4900+ 57600
= √62500
= 250
Hence, The ship from the shore is 250 Km away by most direct path.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
hi i am in 3rd grade i need help.
if the teacher has 20 apples and eats 5 how many apples does she have left please show work my dog will not help me complete my work sad face face face face face sad.
Answer:
15
Step-by-step explanation:
20-5=15
Help with Geometry homework please.?
Answer:
a. 60° it is opposite the other 60° angle
b. 120° it is supplementary with the 60° angle
c. 120° it is supplementary with the 60° angle
Write a decimal for the decimal form 2 × 10 + 6 × 1 + 3 × ( 1 /100) + 9 × ( 1/ 1000)
Answer:
26.039
Step-by-step explanation:
2*10+6*1+3*(1/100) + 9 * (1/1000) =
2*10+6*1+3*0.01 + 9 * (1/1000) =
2*10+6*1+3*0.01 + 9 * 0.001 =
20+6*1+3*0.01 + 9 * 0.001 =
20+6+3*0.01 + 9 * 0.001 =
20+6+0.03 + 9 * 0.001 =
20+6+0.03 +0.009 =
26+0.03 +0.009 =
26.03 +0.009 =
26.039
Given f(x)=2x+2 and g(x)=x+7, find (f⋅g)(x)
.
Answer:
2x+16
Step-by-step explanation:
2(x+7)+2 = (f⋅g)(x)
2x+14+2=
2x+16= (f⋅g)(x)