Answer:
Step-by-step explanation:
we can use this algebraic identity:
[tex](a+b)^{3} =a^{3} +b^{3} +3ab(a+b)[/tex]
So,[tex](3a+4b)^{3} =(3a)^{3} +(4b)^{3}+3(3a)(4b)(3a+4b)[/tex]
=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +36ab(3a+4b)[/tex]
=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +108a^{2} b+144ab^{2}[/tex]
[tex](999)^{3}[/tex]=[tex](1000-1)^{3}[/tex]
Now, we can use the following identity:
[tex](a-b)^{3} =a^{3} -b^{3} -3ab(a-b)[/tex]
=[tex](1000-1)^{3} =1000^{3} -1^{3} -3(1000)(1)(1000-1)\\[/tex]
[tex](1000-1)^{3} =1,000,000,000-1-2,997,000[/tex]
[tex](1000-1)^{3} =997,002,999[/tex]
Why might you write the equation in
point-slope form instead of slope-intercept
form?
Step-by-step explanation:
Slope-intercept form is useful when we know the y- intercept of a line. However, we are not always given this information. When we know the slope and one point which is not the y-intercept, we can write the equation in point-slope form.
I hope this will help you out!
The equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.
We need to check why might we write the equation in point-slope form instead of slope-intercept form.
What is point-slope form?Point slope form is used to represent a straight line using its slope and a point on the line. That means, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form. Different forms can be used to express the equation of a straight line. One of them is point slope form. The equation of the point slope form is: y - y1 = m(x - x1)
where, (x, y) is a random point on the line and m is the slope of the line.
The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.
We use point-slope form with one coordinate and slope.
Therefore, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.
To learn more about the point slope form visit:
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If the probability for an event is 1/6, what would that be as a percent rounded to the nearest tenth?
Answer:
0.070
Step-by-step explanation:
i think
z−4/9−1/3=5/9 Enter your answer as a fraction in simplest form in the box. z =
Answer:
z = 4/3 or 1 1/3
Step-by-step explanation:
z−4/9−1/3=5/9
Change 1/3 to have a denominator of 9
1/3 *3/3 = 3/9
z−4/9−3/9=5/9
Combine like terms
z -7/9 = 5/9
Add 7/9 to each side
z-7/9+7/9 = 5/9+7/9
z = 12/9
z=4/3
or as a mixed number
z = 1 1/3
There are 47 maple trees currently in the park. Park workers will plant more maple trees today
When the workers are finished there will be 54 maple trees in the park. How many maple tree
did the workers plant today?
Answer:
7
Step-by-step explanation:
Eight identical pens cost $10.80.
a. Write an equation in the given box that represents the total cost, y, in dollars for a pens.
What is 5,000 + 5,000?
Answer:
5,000+5,000= 10000
Step-by-step explanation:
2x^2 - y^2+ xy Phân tích đa thức thành nhân tử
cihfoufiyfoffuutgjkao
i don't understand this question somebody help
Answer:
Explanation is in a file
Please help
What is the measure of ∠ABC?
Answer:
180°
Step-by-step explanation:
Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.
Oy = 4x - 28
Oy = 4x + 28
Oy=-x-2
4
Oy=x+ 2
4
revious Question
Find the distance between points B and N.
Answer:
5
Step-by-step explanation:
b is at 15
n is at 10
hence -15 - -10=5
positive 5 btw
what is
4 divided by 1/5
3 divided by 2/3
3 divided by 3/4
4 divided by 2/5
9 divided by 1/2
7 divided by 1/12
5 divided by 2/6
2 divided by 1/4
Step-by-step explanation:
0.50.9divides very wellAnswer:
1. 4 divided by 1/5 = 20
2. 3 divided by 2/3= 9/2
3. 3 divided by 3/4= 4.5
4. 4 divided by 2/5= 10
5. 9 divided by 1/2= 18
6. 7 divided by 1/12= 84
7. 5 divided by 2/6= 15
8. 2 divided by 1/4= 8
Step-by-step explanation:
i used my fraction calculator
if f(x)=3x-15 and g(x)=2x+11; find f(g(2))
Answer:
f(g(2)) = 30
Step-by-step explanation:
Evaluate g(2) , then substitute the value obtained into f(x)
g(2) = 2(2) + 11 = 4 + 11 = 15 , then
f(15) = 3(15) - 15 = 45 - 15 = 30
Step-by-step explanation:
[tex]f(x) = 3x - 15 \\ g(x) = 2x + 11 \\ f(g(x)) = 3(2x + 11) - 15 \\ f(g(x)) = 6x + 33 - 15 \\ f(g(x)) = 6x + 18 \\ f(g(2)) = 6(2) + 18 \\ f(g(2)) = 12 + 18 \\ \boxed{f(g(2)) = 30}[/tex]
f(g(2)) = 30 is the right answer.AH IM SO BAD AT MATHHH SORRY !
Answer: 135 degrees
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
sum of triangle angles = 180
then JLK =. 180 -(70+65) = 180 - 135 = 45
then JLK = 45
since JLM = 180
then KLM = 180 - 45 = 135
Which arrangement shows - 27 -4.1, -52and and 3 in order from least to greatest? 3 0 - 4.1. - 27 -3, -5% 0 , 0 -53 -3.-4.1, -7 27 - - 0 -53 -23.-4.1. -3 0 -4.1. - 27. -53 -3 O - hy
Answer:
-52 < -27 < -4.1 < 3
Step-by-step explanation: A negative number is lower than a positive number. The higher a negative number is the lower it is. For example 54 is greater than -54. I hope I helped! Sorry if I gave incorrect information, I didn't understand your question very much. I'm just a kid too.
During a cold winter, the temperature stayed below zero for ten days (ranging from -20 to -5). The variance of the temperatures of the ten day period A. is negative since all the numbers are negative B. must be at least zero C. can not be computed since all the numbers are negative D. can be either negative or positive
Using the variance concept, it is found that the correct option is:
B. must be at least zero
The mean of a data-set is the sum of all observations divided by the number of observations.The variance of a data-set is the sum of the differences squared between each term and the mean, divided by the number of values.Since the variance is squared, it's minimum value is 0, and thus, the correct option is:
B. must be at least zero
A similar problem is given at https://brainly.com/question/14946088
Use the given frequency table to find mean, median,mode,and range.
Answer:
Mode:6
median: 5.5
mean: 5.25
range : 2
Step-by-step explanation:
9×8 break up into expressions
Please help me if u can that would be GREAT Thanks
Answer:
12.5 or 25/2!
Step-by-step explanation:
Multiply the first two as improper fractions then divide it by 2/3!
A carpenter bought a piece of wood that was 0.54 meters long. Then he sawed 0.39 meters off the end. How long is the piece of wood now?
Answer:
Simply substract 0.39 from 0.54 = 0.15
Therefore the carpenter is left with 0.5 metre of wood.
just do a c e g and i
Answer:
A, 1.57
C.0.971
E.88.3
G.3.28
I.72.9
Answer:
a) 0.47÷0.3 =1.567
c)0.068÷0.07 =0.971
e)0.53÷0.006=88.333
g)3.61÷1.1=3.282
I)6.56÷0.09=73.889
Find the next three terms of the arithmetic sequence.
-14, -19, -24, . . .
Answer:
-29, -34, -39
Step-by-step explanation:
the numbers are going down by five each time.
-24-5=-29
-29-5=-34
-34-5=-39
Hope this helps!
Answer:
-29
Step-by-step explanation:
because -14 and -19 is minus 5
I NEED HELP FAST! WHOEVER GETS RIGHT GETS BRAINLY Explain how to evaluate the expression 4x+10 for x=5.
B.
E.
20 cm
7 cm
11 cm
-
Find volume
Step-by-step explanation:
The volume of cylinder = [tex]\pi r^{2}h[/tex]
The radius of cylinder = 20 ÷ 2 = 10
The volume of cylinder = [tex](\frac{22}{7})(10^{2} )(7)[/tex]
= [tex](22)(100)[/tex] = 2200
please give me a brainliest answer
Answer:
Volume of cylinder = 2,198 cmSolution:
volume of a cylinder = area of base(pi × radius²) × altitude (height)
Volume = πr² × altitude
V = 3.14 × 10² × 7
V = 3.14 × 100 × 7
V = 314 × 7
V = 2,198 cm
how do you solve n - 8 > 5
Answer:
n great than 13.
hope this isn't wrong
The solution to the inequality is n > 13. This means that any value of n greater than 13 will satisfy the inequality.
Given is an inequality n - 8 > 5, we need to solve it,
To solve the inequality "n - 8 > 5," you can follow these steps:
Step 1: Add 8 to both sides of the inequality to isolate the variable n.
(n - 8) + 8 > 5 + 8
n - 8 + 8 > 13
n > 13
Step 2: Simplify the inequality.
n > 13
Hence the simplified inequality is n > 13.
Learn more about inequality click;
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how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction
Answer:
negative direction
Step-by-step explanation:
A negative and a positive make a negative:
1/5 + (-4/5) = 1/5 - 4/5
Hope this helps!
please if you can i urgently need help thank you very much
Answer:
alright so basically solve and find each value out of exponent so it would be 16-8 over 32-16 which is 8/16 which simplifies to 1/2 which is ur answer
Answer:
4
you just add the powers when it's multiplication and same digit and minus them when they are divided but they have to be the same digit
2 power 4+3 =7 / 2 power 5+4=9
2 power 9-7=2
2 power 2 =4
The fraction mode below shows the steps a student performed to find a quotient. Which statement best interprets the quotient
Answer: i belive its C
Step-by-step explanation: May i have brainiest
Can anyone help me with this?
Answer:
Step-by-step explanation:
What is the solution to the following equation?
5x+7X = 60
A. X = 12
B. X = 15
C. = 5
D. X-2
Answer:
c 5
Step-by-step explanation: