Answers
Answer:
First, you can break 6 into 3 * 2.
[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]
Then, cancel out the common factor of [tex]3^3[/tex]:
[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]
Next, cancel out the common factor of [tex]2^4[/tex].
[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]
You can evaluate it as 10125 if you'd like.
Related Questions
A rope 64 m long is cut into 3 pieces. The second piece is 3 times as long as
the first piece. The third piece is 4 times as long as the second piece. Find
the length of each piece of rope.
Answers
Answer:
rope 1=4m ,rope2=12m ,rope3=48m
Step-by-step explanation:
let the first number be y .second be 3y.third be 4(3y).y+3y+4y=64
after adding use substitution.
Please show work
I just need long division, I got synthetic division done .
Answers
Answer:
(10x^4-50x^3-800)/(x-6)
Step-by-step explanation:
Images with work attached
Answer:
10 • (x^4 - 5x^3 - 80)
————————————————————
x - 6
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
STEP 2:
Equation at the end of step 2
:
STEP 3:
10x4 - 50x3 - 800
Simplify —————————————————
x - 6
STEP 4:
Pulling out like terms
Pull out like factors :
10x^4 - 50x^3 - 800 = 10 • (x^4 - 5x^3 - 80)
Polynomial Roots Calculator :
Find roots (zeroes) of : F(x) = x^4 - 5x^3 - 80
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -80.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -74.00
-2 1 -2.00 -24.00
-4 1 -4.00 496.00
-5 1 -5.00 1170.00
-8 1 -8.00 6576.00
Polynomial Roots Calculator found no rational roots
Polynomial Long Division :
Dividing : x^4 - 5x^3 - 80
("Dividend")
By : x - 6 ("Divisor")
dividend x^4 - 5x^3 - 80
- divisor * x^3 x^4 - 6x^3
remainder x^3 - 80
- divisor * x^2 x^3 - 6x^2
remainder 6x^2 - 80
- divisor * 6x^1 6x^2 - 36x
remainder 36x - 80
- divisor * 36x^0 36x - 216
remainder 136
Quotient : x^3 + x^2 + 6x + 36
Remainder : 136
= 10 • (x^4 - 5x^3 - 80)
————————————————————
x - 6
Hope this helps, have a nice day/night! :D
Answer number three and four please
Answers
Answer:
Yes (both)Step-by-step explanation:
Let's verify using Pythagorean:
#3 1² + 1² = (√2)² ⇒ 1 + 1 = 2 ⇒ 2 = 2, TRUE#40.3² + 0.4² = 0.5² ⇒ 0.09 + 0.16 = 0.25 ⇒ 0.25 = 0.25, TRUEhow many hours will it take me to get 777,777,777 cookies if i get 266,560 cookies per second
Answers
Answer:
approximately 43 - 44 minutes exact
Answer:
It would take you 2917 hours.
Step-by-step explanation:
Do 777,777,777 divided by 266,560.
2917 (with a a lot of other numbers).I hope this helped at all.
11x-20=4x+15
what does x equal
Answers
Answer:
x = 5
Step-by-step explanation:
11x - 20 = 4x + 15
Add 20 to both sides
11x = 4x + 15 + 20
11x = 4x + 35
Subtract 4x from both sides
11x - 4x = 35
7x = 35
Divide both sides by 7
x = 35/7
x = 5
Which statement about liters and milliliters is true?
2) There are 1,000 liters in a milliliter.
» There are 100 milliliters in a liter.
(1) There are 1,000 milliliters in a liter.
There are 100 liters in a milliliter.
Answers
Answer:
There are 1,000 mL in a L
Step-by-step explanation:
All the other answers are wrong
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below. S = StartRoot StartFraction (12 minus 14) squared (14 minus 14) squared (9 minus 14) squared (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared 0 squared negative 5 squared 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 0 25 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19. 5 EndRoot. What is the first error he made in computing the standard deviation? Yuri failed to find the difference between each data point and the mean. Yuri divided by n instead of n -1. Yuri did not subtract 9 - 14 correctly. Yuri failed to square -2 correctly.
Answers
Answer:
He divided by n instead of n-1.
It is sample data so we need to divide by n-1 not n.
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
please help me asap
Answers
Answer:
No, it isn't linear because the graph is not a straight line.
Step-by-step explanation:
(see picture of graph)
Linear means a straight line, and these points do not form a line, so it is not linear. You can also calculate this by finding the slope between each point and the previous.
Raymond frequently dined at his favorite restaurant, Hungry Hippo. At his most recent visit, he paid his bill. If the bill had been half as much, he would have gotten three times as much change. If the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get. How much was Raymond’s change?
Answers
Raymond's change was $ 4.
Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:
1 / 2X = 3Y X + 2 = 1 / 2Y X = Y 2 = 1 / 2Y Y = 2 x 2 Y = 4
Therefore, Raymond's change was $ 4.
Learn more in https://brainly.com/question/7328385
Please help!!!!!!!!!!!
Answers
Answer:
10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle
Step-by-step explanation:
I really need help with these geometry questions.
Answers
Hey there!
I'm going to go in order from images.
1. The angle measure 60 is linear to angle 6, this would make them supplementary.
Angle 6: 180 - 60 = 120
Angle 6 is vertical to angle 2, this makes them congruent. If angle 6 equals 120 measure 2 also equals 120.
2. Measure 6 is vertical from measure 2. We established in the last problem measure 2 equals 120.
If angle 2 equals 120 measure 6 also equals 120.
3. The 2 equations are alternate exterior angles.
2x+5=8x-7
+7 +7
2x+12=8x
-2x -2x
12=6x
12/6= 2
x=2
4. I cannot explain this one without showing it visually lol.
Measure 5 equals 30 degrees.
5. Measure 1 is verticle to the measure that reads 60. Vertical angles are congruent.
If measure 1 is congruent to the measure that reads 60. Measure 1 equals 60.
I hope this helps!!!
need help for this question
Answers
The first one it's the first image, and the second one is the second image.
6m squared+ 7n= what?
Answers
Answer:
(6+7)
Step-by-step explanation:
There are 10 pink cars, 12 blue cars and 8 yellow cars in the parking lot.
What is the ratio of yellow cars to the total number of cars in Erica’s toy box?
Show work
4: 15
15 : 4
5 : 4
2 : 3
Answers
Answer:
4 : 15
Step-by-step explanation:
total cars = 10 + 12 + 8 = 30 , then
yellow : total
= 8 : 30 ( divide both parts by 2 )
= 4 : 15 ( in simplest form )
Answer:
4 : 15 is the correct answer.
Step-by-step explanation:
10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.
A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Answers
lol no
just give up in life
The function is used to model real life situation
The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000
(a) The value of a
The function is given as:
[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]
The profit on 120 computers is 3200000.
So, we have:
[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]
[tex]\mathbf{3200000 = -1600a}[/tex]
Divide both side by -1600
[tex]\mathbf{a = -2000}[/tex]
Hence, the value of (a) is -2000
(b) The maximum profit
The function becomes
[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
Expand
[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]
[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]
Expand
[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]
Differentiate
[tex]\mathbf{y' = -4000x + 600000}[/tex]
Set to 0
[tex]\mathbf{-4000x + 600000 = 0}[/tex]
Collect like terms
[tex]\mathbf{4000x = 600000}[/tex]
Divide both sides by 4000
[tex]\mathbf{x = 150}[/tex]
Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]
[tex]\mathbf{y = 5000000}[/tex]
150 computers must be produced to maximize the profit of $5,000,000
c) Range when the target is at least $4,800,000
This means that:
[tex]\mathbf{y \ge 4800000}[/tex]
So, we have:
[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]
Collect like terms
[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]
[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]
Divide through by -2000
[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]
Factorize
[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]
Express as inequality
[tex]\mathbf{140 \le x \le 160}[/tex]
A range of 140 to 160 computers would give the company at least $4,800,000
Read more at:
brainly.com/question/25471478
write the birds an order from shortest egg to longest egg
canda goose 3 2/5 Robin 3/4 turtle dove 1 1/5 raven 1 1/9
Answers
Answer:
roben,dove,raven ,goose
Step-by-step explaunation:
you need to change them to the same denominator *first*
Answer:
Robin, Raven, Turtle dove, Canada goose.
Step-by-step explanation:
We are given the size of the eggs.
Canada goose: 3 2/5 Units = 17/5 UnitsRobin: 3/4 UnitsTurtle dove: 1 1/5 Units = 6/5 UnitsRaven: 1 1/9 Units = 10/9 UnitsNow, we need to put the sizes of eggs in ascending order.
=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]
Step 1: Make the denominators same.
=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]
=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]
Step 2: Order these egg sizes in ascending order.
=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]
=> [tex]\frac{135}{180},\frac{200}{180},\frac{216}{180},\frac{612}{180}[/tex]
Step 3: Match the sizes of the eggs with the bird.
Robin, Raven, Turtle dove, Canada goose.
Final Answer: So, after working on this problem, we can conclude that the ascending order of bird's eggs size is:
Robin, Raven, Turtle dove, Canada goose.
Hoped this helped.
A scale drawing of an elephant shows the animal as 6 inches high and
10.8 inches long. The scale used for the drawing was 3 in..5 ft.
What are the height and length of the actual elephant?
Height:
feet
Length:
feet
Answers
Step-by-step explanation:
3 in to 5 ft
so, one basic unit in the drawing is in fact 3 inches.
how many base units fit into the numbers ? these factors need then to be multiplied with the base units of 5 ft for reality.
6 inches high
6 / 3 = 2
so, the elephant is 2 units high, which means in reality 2×5 = 10 ft high.
10.8 inches long
10.8 / 3 = 3.6
so, the elephant is 3.6 units long, which means in reality 3.6×5 = 18 ft long.
what skills are needed to learn derivatives in math
Answers
Answer:
smart
be smart
Hector watched
1
4
of a movie in the morning, and he watched some more at night. By the end of the day, he still had
2
3
of the movie left to watch. How much of the movie did Hector watch at night?
Answers
Answer:
how watched 3/4 of the movie
Step-by-step explanation:
I know this because 2 is more then half of 3 and 3 is more then half of 4 so you can come to a conclusion that he watched a total of 3/4 and 2/4 at night.
P.S when ever using a fraction when typing like 1/4 instead of doing
1
4
do 1/4
Complete the equation line through (1,4) and (2,2) use exact numbers
Answers
(Graphed in the image below, green dots are the points given)
In rhombus WXYZ, if WX=15, find YZ.
Answers
Answer:
YZ=15
Step-by-step explanation:
All sides of a rhombus are equal so it would be the same length.
I need help asap
With my math homework if any one can help let me know
Answers
Answer:
whats the question?
Step-by-step explanation:
kate has $2.95 in quarters and nickels and the total number of ocins is 23 how many quarters and how many nickels does kat have
Answers
Answer: 9 quarters and 14 nickels
Step-by-step explanation:
9*25=225
14*5=70
225+70=295
The total number of nickels is 14 and the total number of quarters is 9 and this can be determined by forming the linear equation.
Given :
kate has $2.95 in quarters and nickels and the total number of coins is 23.
The following steps can be used in order to determine the total number of quarters and nickels Kat have:
Step 1 - Let the total number of quarters be 'x' and the total number of nickels be 'y'.
Step 2 - Remember one quarter is equal to $0.25 and one nickel is $0.05.
Step 3 - The total amount of money Kat has:
0.25x + 0.05y = 2.95 --- (1)
Step 4 - Total number of coins is given by:
x + y = 23
x = 23 - y --- (2)
Step 5 - Substitute the value of 'x' in equation (1).
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
2.8 = 0.20y
y = 14
Step 6 - Now, substitute the value of 'y' in equation (2).
x = 23 - 14
x = 9
So, the total number of nickels is 14 and the total number of quarters is 9.
For more information, refer to the link given below:
https://brainly.com/question/11897796
Ryan earned $2400 a month. He recieved a raise, which increased his monthly pay to $2700. Did Ryan's pay increase or decrease? By how much?
Answers
Answer:
Ryan's pay increased by $300.
Step-by-step explanation:
Answer:
His pay increased by $300
Step-by-step explanation:
2,700-2,400
=300
Heyyyyyy , Can you please help me with this
Answers
Answer:
19 houses
Step-by-step explanation:
90*(2/5)=36
90-36=54
54*(2/3)=37
54-37=19
What is meant by permutations ?
Answers
Answer:
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.
Answer:
Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.
Step-by-step explanation:
Cual es el signo???? AYUDAAAA
Answers
b)
Solve the system by substitution.
2x – 6y = –24
x = 5y – 22
Answers
Answer:
Solution: 2x-6y divided by -24
2x=-24(-6y)
2x=6y-24
x=(6y-24) divided by 2
x=(6y-24)x 1/2
x=6y x 1/2 -24 x 1/2
x=3y-24x1/2
x=3y-12
Find the slope of the line through each pair of points.
(-10,8), (5,-5)
Answers
Answer:
-0.86667
Step-by-step explanation:
m = -13 / 15 = -0.86667
Mary can swim 3 laps in 6
minutes. Use an equivalent ratio
to determine how many laps
Mary can swim in 18 minutes.
How many laps?
Answers
Times by 3
Which the answer is
9:18
That’s how you work out
Answer:
9 laps
Step-by-step explanation:
Set up a proportion
3 laps / 6 minutes = x [which represents laps]/18 minutes Cross multiply
6*x = 3 * 18 Combine
6x = 54 Divide by 6
6x/6 = 54/6
x = 9