Answer:
Factors of [tex]8q^6r^3 + 27s^6t^3[/tex] are [tex](2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]
a is [tex]2q^2r[/tex]
b is: [tex]3s^2t[/tex]
Step-by-step explanation:
We need to factor [tex]8q^6r^3 + 27s^6t^3[/tex]
[tex]8q^6r^3 + 27s^6t^3\\=(2q^2r)^3+(3s^2t)^3\\Applying \ formula: a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\=(2q^2r+3s^2t)((2q^2r)^2-2(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]
So, Factors of [tex]8q^6r^3 + 27s^6t^3[/tex] are [tex](2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)[/tex]
What is a? a is [tex]2q^2r[/tex]
What is b? b is: [tex]3s^2t[/tex]
Answer:
The next answers for the page are 2, 3, 4, 9
Step-by-step explanation:
In a population of 10,000 geese the growth rate is 4% per year. What is the total increase in population over 4 years? Round your answer to the nearest whole number.
And can you explain why please :D
Answer:
Step-by-step explanation:
10000*4%= 400 Geese year1
10400*4%=416 Geese year 2
10816*4%= 432.64 Geese year 3
11,248.64*4%= 449.95 Geese. year 4
11248.64+449.95= 11698.59
11698.59-10000=1698.59
Increased by 1699 Geese.
Are the lines y = –x – 4 and 5x -5y = 20 perpendicular? Explain.
Answer:
yes
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 4 ← is in slope- intercept form
with slope m = - 1
5x - 5y = 20 ( subtract 5x from both sides )
- 5y = - 5x + 20 ( divide all terms by - 5 )
y = x - 4 ← in slope- intercept form
with slope m = 1
Thus product of their slopes is - 1 × 1 = - 1
Therefore the lines are perpendicular
PLEASE HELP!!!!!
What is the equation of a line that is perpendicular to -x+2y=4 and passes through the point (-2,1) ?
Write the equation -x+2y=4 in slope-intercept form
Identify the slope of the line represented in part a.
What is the slope of the line perpendicular to the line in steps a and b?
Write the equation of the perpendicular line in slope-intercept form.
Answer:
y=1/2x+b
Step-by-step explanation:
-x+2y=4 = 2y=x+4
2y/2=(x+4)/2 = y=1/2x+2
1=1/2(-2)+b = 1=-1+b = 2=b
y=1/2x+2
slope= 1/2
y-intercept= 2
*/= division*
Simplify simplify √18
Answer:
Step-by-step explanation:
I can help
Step 1
√18 Simplify
3√2
Step 2
3√2 Check
Answer
3√2
Hope this helped
Find the reciprocal.
b
Answer:
1/b
Step-by-step explanation:
b=b/1. 1/b would be a reciprical because it switches the numberator and denominator.
1/3x+1/2x=40 pls help
Answer:
3x+1=2x+40
We move all terms to the left:
3x+1-(2x+40)=0
We get rid of parentheses
3x-2x-40+1=0
We add all the numbers together, and all the variables
x-39=0
We move all terms containing x to the left, all other terms to the right
x=39
Step-by-step explanation:
Answer:
x = 48
Step-by-step explanation:
Original equation:
1/3x + 1/2x = 40
Add 1/3x to 1/2x
5/6x
Equation Now:
5/6x = 40
Divide both sides by 5/6
x = 48
Hope this helps :)
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In the diagram shown below, parallel lines m and n are crossed by transversals r and s. Which of the following is the sum of angles 1 and 2 pictured?
Answer:
3. 151°
Step-by-step explanation:
Since m and n are parallel, therefore:
m<1 + 75° = 180° (consecutive exterior angles are supplementary)
Subtract 75 from each side
m<1 = 180 - 75
m<1 = 105°
m<2 = 46° (corresponding angles are congruent)
Sum of <1 and <2 = 105° + 46° = 151°
Suppose that in an alternate universe, the gambler's fallacy is true: the more a gambler loses, the more likely she is to win the next game. To be precise, if the gambler loses a game, she will win the next game with probability 3/4. If the gambler wins the game, she will win the next game with probability 1/2.
Answer and explanation:
The gambler's fallacy is the fallacy of belief that if an event such as a loss occurs more frequently in the past, it is less likely to happen in the future. We assume here that this belief is true, therefore
If she loses, her probability of winning increases =3/4
If she wins, her probability to win is normal =1/2
Given that probability of winning is 1/2
Probability of losing is 1-1/2=1/2
Probability that she wins the tournament is probability that she wins the first two games and loses the last or wins the first game, loses the second and wins the last or loses the first game and wins the last two games or probability that she wins all three games
=1/2*1/2*1/2+1/2*1/2*3/4+1/2*3/4*1/2+1/2*1/2*1/2
=25/48
Probability of winning the tournament if she loses the first game
=1/2*3/4*1/2= 3/16
Note: whenever there is "or" in probability, you add
how many times does 3/4 go into 12
In other words 12 ÷ 3/4.
12 ÷ 3/4
12/1 • 4/3
48/3
Answer: 16
Kim and Anthony start a dog walking business. During their first week, they paid $10 to make their business cards. Kim walked a dog for 15 minutes.
Part A - Which integers represent the dollar amounts either spent or earned during their first week Kim and Anthony were in business? Fill in all that apply.
$5 -$5 $10 -$10 -$6
Answer:
-10$
Step-by-step explanation:
Kim and Anthony spent 10 dollars on business cards and it does not say how much Kim earned for the dog walk so the correct integer is -10$
You are shopping for school supplies and want to decide where you should buy pencils from. SupplyCo sells a 10 pack of pencils for $0.95. SchoolShop sells a 10 pack of pencils for $1.45 but you have a $3.00 coupon. How many packs of pencils would you have to buy for the prices to be the same at each store?
Answer:
120 (60 from each store)
Step-by-step explanation:
Given that:
Price for 10 pack of pencils at SupplyCo = $0.95
Price for 10 pack of pencils at SchoolShop = $1.45
Discount coupon at SchoolShop = $3.00
Let the number of packs of pencils bought = [tex]2x[/tex] (in pack of 10)
Then [tex]x[/tex] will be the number of packs of 10 bought at each store.
Therefore, price at SupplyCo for [tex]x[/tex] packs (in pack of 10) = [tex]0.95x[/tex]
And price at SchoolShop for [tex]x[/tex] packs (in pack of 10) = [tex]1.45x-3.00[/tex] (because there is a coupon of $3.00)
As per question statement, price at both the stores is same:
[tex]0.95x=1.44x-3\\\Rightarrow 0.5x=3\\\Rightarrow x=6[/tex]
Therefore, number of packs bought = [tex]2x\times 10 = 2\times 6\times 10 =\bold{120}[/tex] (60 from each store)
Is (10,2),(-3,4),(-10,6),(-3,6) a function
Reflect over the line y = x
Answer:
After the reflection over the line y=x, the image points are:
A'(-1, -2) B'(3, -1) C'(2, -3)Step-by-step explanation:
We know that when a point is reflected cross the line y = x, the x-coordinate, and y-coordinate change places.
i.e.
The reflection of the point (x,y) across the line y = x is the point (y, x).Given
A(-2, -1)B(-1, 3)C(-3, 2)so after the points reflected cross the line y = x
P(x, y) → P'(y, x)
A(-2, -1) → A'(-1, -2)
B(-1, 3) → B'(3, -1)
C(-3, 2) → C'(2, -3)
Therefore, after the reflection over the line y=x, the image points are:
A'(-1, -2) B'(3, -1) C'(2, -3)24% of 398 what is it
Answer:
24 percent (calculated percentage %) of number 398,
Answer: 95.52
Step-by-step explanation:
hope it helps
Answer:
95.52
Step-by-step explanation:
The midpoint of AB is M ( 1 , − 3 ). If the coordinates of A A are ( − 6 , − 7 ),what are the coordinates of B?
Answer:
a= -4
b=1
Step-by-step explanation:
Midpoint=(1,-3)=(x,y)
A=(-6,-7)=(x1,y1)
Let ,the coordinates of B be 'a and b' .
So,
B=(a,b)=(x2,y2)
Using ,midpoint formula,
(x,y)=(x1+x2\2 , y1+y2 \2)
or, (1,-3)=(-6+a\2 , -7+b \2)
Now,
Taking the corresponding sides,
or, 1 =-6+a/2
or, 1*2=6+a
or, 2=6+a
or, 2-6=a
a=-4
Then,
-3= -7+b/2
or, -3*2= -7+b
or, -6 =-7+b
or, -6+7=b
b=1
Answer: (8,1)
Step-by-step explanation:
5-7 <-3 : what is the simplified form of the inequality below ?
Answer:
5<4
Step-by-step explanation:
This inequality is not correct though.
5-7+7<-3+7
5<4
orge had $235.00 in his checking account. He withdrew $20.00 each day on Monday, Tuesday, and Wednesday. George got paid on Friday and deposited $130.00 into his checking account. Then on Saturday, he withdrew two checks- one for $167.00 and one for $88.00. What was his checking account balance after writing the checks?
Answer:
Orge has $50 left in his checking account.
Step-by-step explanation:
Will mark brainliest pls help thx
If you are considering speed regardless of direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
Although if direction matters, then one number has to be negative since the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
what is the correct answer?
Answer:
Step-by-step explanation:
124 I think
Can somebody please help me with this math question
Answer:
x=4 degrees
Step-by-step explanation:
its an equilateral triangle so all sides are equal, if one angle is 10x+20,then the rest are each 10x+20.This is a triangle and it adds up to 180 degrees. So in total, (10x+20)×3=30x+60.So you do this, 30x +60=180 degrees, you take the sixty to the other side and subtract it from 180 ,you'll get 120 degrees, then divide 120by 30x
PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON
Answer:
17. x = -2
18. All real numbers
19. No solution
Step-by-step explanation:
17. 10z + 26 = -3z
-10z -10z
26 = -13z
Divide both sides by -13
-2 = x
18. 4(3x - 5) = 2(6x - 10)
Distribute the 4
12x - 20 = 2(6x - 10)
Distribute the 2
12x - 20 = 12x - 20
Both sides are equal
All real numbers
19. 6m - 3 = 3(2m - 4)
Distribute the 3
6m - 3 = 6m - 4
+3 +3
6m = 6m - 1
-6m -6m
0 = -1
No solution
I hope this was helpful! <3
Could I get brainliest?
hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to gis brother. alex enbed up with 16 video games. how many video games did alex have when he started?
Answer:
The answer is 26.
Step-by-step explanation:
Find the measure of Angle F ASAP thank u !!
Answer:
its 40
Step-by-step explanation: 65+75= 140 180-140=40
give brainliest plz lol
i need help asapppppp
Answer:
A
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees. Essentially, you can make a straight line with them.
1 and 7 are supplementary
1 and 4 are verticle, so no.
2 and 6 are complementary, so no.
3 and 6 are complementary, so no.
on a sunny day a goal post casts a 75 feet shadow. a 6 1/2 feet tall ball player standing next to the goal post has a shadow 19 1/2 ft. long how tall is the goal post
Answer: 62 Ft
Step-by-step explanation:
The shadow adds 13ft
How we know- 19 1/2 - 6 1/2 = 13 ft
So we need to take away 13ft to find out the goal post actual height
75-13= 62
Using the triangle below, set up and solve an equation in order to find the value of x.
PLEASE HELP MEEE WILL GIVE YOU BRAINLIEST
Answer:
90+15x+8x-2=180
Step-by-step explanation:
answer is 4
have a great day love!
Answer:
The answer is 4
90+15x+8x-2=180
help please!! i will mark you brainliest
Answer:
the equation is (y-3)^2 = 4(x+3)
manoj buys a leather coat costing Rs.900 at Rs 990 after paying the vat . calculate the rate of VAT changed on the coat .
Step-by-step explanation:
Original cost = 900
Cost after VAT = 990
VAT amount = 990 - 900 = 90
Rate of VAT = 90/900×100 = 90/9 = 10%
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = –2x + 30
B. y = 2x + 30
C. y = –2x – 30
D. y = 2x – 30
Answer:
A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Hope this helps! :)
PLEASE HURRY MATH BREAINLEST HELP
Answer:
Step-by-step explanation:
531441 or 3^12
25