Answer:
D.
Step-by-step explanation:
(m^2- 4n)(m^4+4m^2n+16n^2)
Option D is our correct answer.
i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).
Given,
[tex]m^{6}[/tex] - 64n³
We need to find the factored form of this.
And select the correct options.
A. (m2 + 4n)(m4 − 4m2n + 16n2)
B. (m − 4n2)(m2 + 4mn2 + 16n4)
C. (m + 4n2)(m2 − 4mn2 + 16n4)
D. (m2 − 4n)(m4 + 4m2n + 16n2)
What is the formula of (a³ - b³)?It is given as:
( a - b ) ( a² + ab + b² )
Find the factored form [tex]m^{6}[/tex] - 64n³
We can write this as,
[tex](m^{2})^3[/tex] - 4³n³
(m²)³ - (4n)³
This is in the form of (a³ - b³).
Applying this formula.
Now,
(m² - 4n) ((m²)² + 4nm + (4n)²)
(m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²)
Thus Option D is our correct answer.
i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).
Learn more about how to factorize an equation here:
https://brainly.com/question/21208351
#SPJ6
A relative-frequency distribution is to a variable as a __________ distribution is to a random variable.
Answer:
Probability distributionStep-by-step explanation:
The answer is probability distribution
What is probability distribution?
Probability distribution is a function used to express all the range of random variables and the chances or possibilities of their occurrence.
Basically the function assigns probabilities to some sets of values.
Also There are three major types of probabilities:
Theoretical Probability.
Experimental Probability.
Axiomatic Probability.
A relative-frequency distribution is to a variable as a Probability distribution is to a random variable.
Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true.
The probability of an event is usually between 0 and 1, where 0 represent impossibility and 1 represents the chance of it occurring.
Learn more about Probability here:
https://brainly.com/question/25825549
help I rly need help this is the problem I'm stuck one......
The table shows the average monthly minimum temperature of several US cities decide whether each statement about the temperature is TRUE or FALSE
CITY AND STATE. AVERAGE MIN TEMP
Fairbanks,AK. -16.9
Fargo,ND. 0.1
Duluth,MN. 1.5
Grand Forks,ND. -3.1
#1.the temperature of Fairbanks,AK is higher than the average temperature of Grand Forks,ND ..........is it true or false?
#2.the average temperature of Grand Forks,ND is farther from Zero than the average temperature of Duluth,MN..........is it true or False?
#3.teh average temperature of Fargo,ND is LOWER than teh average temperature of Grand Forks,ND..........is it true or false?
what is the answer of x for this?
Angle x and angle BOC are supplementary. We know that Supplementary angles add up to 180 degrees
180 = x + 156
Subtract 156 from both sides.
24 = x
The water level of a lake fell by 1 1/2
inches
during a 1 2/3
-week-long dry spell. Find the
average rate at which the water level changed
every week.
Solution,
Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]
The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex] inches during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.
Average rate at which the water level changed every week is given by :
[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]
Hence, the average rate is 0.9 every week.
a person can read 24 pages of a book in 1/3 of an hour what is the persons reading rate in pages per hour
Answer:
72.73 pages in one hour
or 72.73/hr
What are inverse functions?
If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.
Hope this helps.
What is the answer for number 4
Answer:
x=-13
Step-by-step explanation:
All you have to do is divide 8 by both sides because you want to get x by itself.
1. Write an algebraic expression for the sum of three coins and c coins.
A. C+3
B. C/3
C. 3c
D. C-3
2. Use mental math to solve the equation.
Z/-12 = -5
A. 7
B. -60
C. -17
D. 60
3.Estimate the solution of the equation x-8.1= 5.3 to the nearest whole number.
A. About 13
B. About 14
C. About 4
D. About 3
4. Solve the equation
14 = t-44
A. -30
B. -58
C. 30
D. 58
-3 = j + 50
A. 80
B. 20
C. -1500
D. -80
2.8x = -9.24
A. 12.04
B. -0.3030
C. -3.3
D. -12.04
5.8 = z/2.2
A. 127.6
B. 0.37
C. 3.7
D. 12.76
Answer:
1 Is A
2 is B
3 is A
4a is D
4b is -53 but that's not an answer choice
4c is C
4d is D
Find the equation of the line perpendicular to y=-2x+1 that also intersects the points (8,2)
Answer:
y=2x+1
Step-by-step explanation:
change -2x to 2x
a backyard has an area of 72 square feet. of the following choices, which is the smallest possible perimeter of the backyard?
How tall would the building be
Answer:
18
Step-by-step explanation:
1. Create the ratio 12:9
The first number in the ratio is where the length of the shadow will go. The second number is where the length of the building will go.
2. Subtract 21 by 12 to find out how much we have to add to 9. (21-12=9)
3. Add 9 to 9. (18)
We now have 21:18.
What is the equation of this line?
y=1/2x - 3
y=-1/2x-3
y= -2x - 3
y= 2x - 3
Whattttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt is y=3x-3
Answer:
-9
Step-by-step explanation:
A teacher has 25 students in a class. Each student has to pay $12.50 for a workbook to use in class. During the
first week of school, 7 students paid for their workbook. The remaining students paid for their workbook during the
second week of school. How much money did the teacher collect during the second week of school, what is the number problem
yes or no i make first answer brailiest
Answer: yes
Step-by-step explanation:
7. A group of 140 tourists are going on a tour. The tour guide rents
15 vans. Each van holds 9 tourists.
Part A
Write a division problem that can be used to find the number of
vans needed to carry the tourists. Then solve.
Answer:
16
Step-by-step explanation:
140 divided by 9 = 15.5
you need 16 vans to hold 140 tourists
What is the slope of the line that passes through points (-3,5) and (11,5)
Answer:
slope = -3/14
Step-by-step explanation:
y1 - y2 / x1 - x2
They gave you one value, two total coordinates
5-5 = 1
-3 - 11
-14
1/-14
y=1/-14 + b
11= 1/-14(-3) + b
11 = -3/14 + b
17 + 14
b = 15 3/14
find the two angle measures from the diagram 3x+10 3x-28 there's 3 answer's 71,71 109 ,109 109,71 last question brainiest u will get
Answer:
109 and 71Step-by-step explanation:
3x + 10 + 3x - 28 = 180
6x = 180 - 10 + 28
x = 198/6
x = 33
substitute the value of x = 33 back into the equation to solve for each angle
= 3x + 10
= 3(33) + 10
= 109
= 3x - 28
= 3(33) - 28
= 71
Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time. Which plumber charges the greatest hourly rate?
Answer: Took the test
Step-by-step explanation:
your thinking
2. A shipping box should weigh 1.0 pound. If
there is a 10% error on the weight, what is the
range of acceptable weight?
Answer:
.9 pounds to 1.1 pounds
Step-by-step explanation:
10% of 1.0 is .1, so it allows for a .1 addition or subtraction to the weight of the box
Answer:
the answer is 0.9-1.0
Step-by-step explanation:
the answer is that because my teacher gave me the answer
Answer please! I will give out brainlest!
Find the value of MN if AB=18 cm, BC=14.4 cm, and LM=24 cm ABCD~LMNO
Answer:
14.4
Step-by-step explanation:
ABCD~LMNO
look, M and N are in the places of B and C
Multiple-Step Problem
McKenna has 34 stuffed animals, Kenley has twice as many as McKenna. How many stuffed animals do the the girls have in all?
Answer:
102
Step-by-step explanation:
You multiply 34 and 2 which gives you 68. Then you add 34 and 68 which gives you 102.
please help asapppp 2
Answer:
c
need brainest
Step-by-step explanation:
What do the labeled bolts of clothes represent in the political cartoon a American domestic policy be American non-invasive beliefs see American involved in other countries the American support for foreign immigration
Answer:
C
American involvement in other countries.
Hope it helps ❤️
The labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
What is a labeled diagram?A drawing, chart, or graph that is labeled helps to visualize a concept. Students can better understand the relationships between the diagram's various components by using labeled diagrams in math, science, and language arts.
It is given that the labeled bolts of clothes represent the political cartoon.
They provide a cheerful diversion from the increasingly somber political discourse by offering a colorful alternative to formal news reporting. Cartoons offer a quick and easy way to comment on current events because they can condense news and opinion into a caricature.
Thus, the labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
Learn more about the labeled diagram here,
https://brainly.com/question/13354430
#SPJ2
Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions.
Answer and Step-by-step explanation:
SOLUTION:
Given function:
h (x, y, z) = ln (x2 + y2 – 1) + y +6z, p0(1, 1, 0)
Derivatives of the function:
∂h / ∂x = (1 / x2 + y2 -1). (2x)
= 2x / x2 + y2 -1
∂h/∂y = (1 / x2 + y2 – 1) (2y + 1)
= (2y / x2 + y2 -1) + 1
∂h / ∂z = 6
Now compute the partial derivatives:
∂h (1, 1, 0) / ∂x = 2(1) / 1 +1 -1
= 2
∂h(1, 1, 0) / ∂y =( 2(1) / 1 +1 -1) + 1
= 3
∂h (1, 1, 0) / ∂z = 6
Δh (1,1,0) = ( 2, 3, 6)
The definition of gradient is:
Δf (x, y, z) = (∂f / ∂x , ∂f / ∂y)
Put the coordinate values to arrive at solution:
Umax = Δh (1,1,0) / | Δh (1,1,0) |
= (2, 3, 6) / |2, 3, 6|
= (2, 3, 6) / √(22+33+62)
= (2, 3, 6) / √49
= (2, 3, 6) / 7
= (2/7 , 3/7, 6/7)
Umin = - U max = ( -2/7, -3/7, -6/7)
Compute direction by finding unit vector:
Du h max = Δh (1,1,0) . u max
= (2, 3, 6) . (2/7, 3/7, 6/7)
= 2(2/7) + 3(3/7) + 6(6/7)
= 4/7 + 9/7 +36/ 7
= 49 / 7
= 7
Du h min = -Du h max
= -7
A bag contains 3 red marbles, 8 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
Answer:
0.043
Step-by-step explanation:
Miranda baked 15 cookies with 3 scoops of flour. With 6 scoops of flour, how many cookies
can Miranda bake? Solve using unit rates.
Answer:
Miranda can bake 30 cookies with 6 scoops of flour.
Step-by-step explanation:
The rate is 5 cookies for every scoop of flour. to figure this out we need to divide 15 by three, to get 5, so the rate ends up being 5:1
Next, to find out the number of cookies, we need to multiply 5 by 6 to get 30. Therefore, Miranda can bake 30 cookies.
find the standard deviation
Answer:
d. 7.3
Step-by-step explanation:
To get the standard deviation of a population of data, first take the sum of all the values, and divide it by the count to get the mean (average).
75 [1] + 90 [2] + 75 [3] + 80 [4] + 90 [5] + 80 [6] + 100 [7] + 85 [8] + 80 [9] + 85 [10] = 840.
Then divide by the count which is 10.
840/10 = 84 [This is the mean of the data.]
Then subtract every point of data from the mean and square it:
(75-84)^2 + (90-84)^2 + (75-84)^2 + (80-84)^2 + (90-84)^2 + (80-84)^2 + (100-84)^2 + (85-84)^2 + (80-84)^2 + (85-84)^2 = 81 + 36 + 81 + 16 + 36 + 16 + 256 + 1 + 16 + 1 = 540.
Then to get the variance, divide this all by the count.
540/10 = 54 [This is the variance of the data.]
Then all you have to do to get the standard deviation is take the square root of the variance.
√54 = 3√6 ≈ 7.3 [This is the standard deviation of the data.]
What is the value of the expression shown below?
(2/3)²+5×2-4
Answer:
6 4/9
Step-by-step explanation:
Sorry if it’s a little messy.
Maths is hard but we can do this!