Answer: [tex]2c^9[/tex]
Step-by-step explanation:
I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]
[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)
[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)
[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]
[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
Common factors (terms that are in all expressions):
[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
Simplify:
[tex]2c^9[/tex]
Help with algebra class please
Answer:
t=6.8
Step-by-step explanation:
t=2.01[squareroot(L)]
L=11.56
t=2.01[squareroot(11.56)]
t=2.01(3.4)
t=6.834
(round to nearest tenth)
t=6.8
What is the area of the rhombus? 10 km 7 km
Answer:
A=pq
2
Step-by-step explanation:
A=35
Answer:
70KM
Step-by-step explanation:
AREA MEANS MULTIPLY SO 10X7=70
consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a
Answer:
Step-by-step explanation:
x² - 2x + y² - 4y - 4 = 0
x² - 2x + y² - 4y = 4
complete the squares
(x² - 2x + x₀) + (y² - 4y + y₀) = 4
the unknown number will be the square of half of the x¹ coefficient
(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4
(x - 1)² + (y - 2)² = 9
This tells us that the circle is centered on (1, 2)
Which is also a point on the diameter
2x - y + a = 0
a = y - 2x
a = 2 - 2(1)
a = 0
explain how you your answer
Answer:
1.43 = x
Step-by-step explanation:
Math in the picture attached. Hope it helps!
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Answer:
$o.44
Step-by-step explanation:
20/100×0.55 =0.11
0.55-0.11 = 0.44
Please look at picture for question.
Answer:
A 1.5
B -1/3
C -4/3
Step-by-step explanation:
I solved this by remembering...
numbers above 0 are positive
-1/3 is greater than -1
-4/3 means -1 AND 1/3 so this is less than -1
A = 1.5 (+ve value, upwards)
B = -1/3 (-ve value, downwards)
C = -4/3 (-ve value, downwards)
A = 1.5 (lies in between +1 & +2)
B = -1/3 (-0.33 lies in between 0 & -1)
C = -4/3 (-1.33 lies in between -1 & -2)
See the attached picture for more details.
______
Hope it helps ⚜
Standard form question
Answer:
1.64×10^7 km
Step-by-step explanation:
The Pythagorean theorem can be used to find the hypotenuse of this right triangle.
QR² = PQ² +PR²
Expressing the given distances as multiples of 10^7 km, we have ...
QR² = 0.36² +1.6² = 0.1296 +2.5600 = 2.6896
QR = √2.6896 = 1.64
The shortest distance between planets Q and R is 1.64×10^7 km.
Sammy's rabbit can eat 70 pounds of food in 80 days. Part A: At that same rate, how much food will Sammy need to feed his rabbit in 24 days? Part B: How long will it take his rabbit to eat 87.5 pounds of food? Part C: Suppose Sammy buys his rabbit a companion. Together, the rabbits need can eat 95 pounds of food in 65 days. Approximately how much food will Sammy need to buy in order to feed both rabbits inl year ( 365 daya)? Round to the nearest tenth.
Part A
The rabbit can eat 70 pounds of food in 80 days. The unit rate is 70/80 = 0.875 pounds of food per day. Multiply this with the 24 days to get the total amount eaten over that timespan.
24*0.875 = 21
Answer: 21 pounds of food=========================================================
Part B
x = number of days
The rabbit eats at a unit rate of 0.875 pounds per day. After x number of days pass by, the rabbit has eaten a total of 0.875x pounds of food. Set this equal to 87.5 and solve for x.
0.875x = 87.5
x = (87.5)/(0.875)
x = 100
Answer: 100 days=========================================================
Part C
This is is similar to part A, just with different numbers. We could follow those steps to get the answer, but I'll go another route.
Instead, I'll use a proportion to solve.
(95 pounds)/(65 days) = (x pounds)/(365 days)
95/65 = x/365
95*365 = 65*x
34675 = 65x
65x = 34675
x = 34675/65
x = 533.461538
x = 533.5
Answer: 533.5 pounds of foodWhat type of angle of this?
Answer:
angle x is equal to 60º so its an acute angle
Step-by-step explanation:
Answer:
x = 60
Step-by-step explanation:
obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these
180-120=60
2 1/12 divided 2 5/8 fractions
Answer: 50/63 or 0.793650
Step-by-step explanation:
Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]
so then line K has a slope of -5 and pass through (-1, -3)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8[/tex]
Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle? Express your answer as a common fraction
Using the probability concept, it is found that there is a [tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the sides of the segments are chosen is not important, hence, the combination formula is used to find the number of total outcomes.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Total outcomes:
3 segments from a set of 6 lengths, hence:
[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]
Desired outcomes:
Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcome, hence [tex]D = 7[/tex]Then:
[tex]p = \frac{D}{T} = \frac{7}{20}[/tex]
[tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.
To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717
The number of gold fish that can live in a small tank is at most 6.
Let g be the number of goldfish that can live in the tank.
Which inequality represents this situation?
g<6 g≥6 g>6 g≤6
Answer:
g≤6
Step-by-step explanation:
g≤6 inequality represents the given situation of at most.
What is inequality?" Inequality means an algebraic expression which represents the relation between two situation or values with the sign of > , < , ≥, ≤."
Term used
At most means 'less than to equals to' ( ≤ )
According to the question,
Given'
'g' represents the number of gold fish live in the tank
As per condition of inequality given,
Number of gold fish can live in small tank at most 6
Represent as the term used we get,
Inequality is
g ≤ 6
Hence, g≤6 inequality represents the given situation of at most.
Learn more about inequality here
https://brainly.com/question/20383699
#SPJ2
Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}
Answer:
1: NOT A FUNCTIN
Step-by-step explanation:
Suppose Bella wanted to make a gift basket worth $25 instead the gift basket must also have more wheat loaves than muffins show one way Bella can make the gift basket
An airplane can ascend at a rate of 50 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?
Answer:
78.75
Step-by-step explanation:
Someone help me it’s number 12
You need to find the x value
Express as a single power.
[tex]\\(a)\\2^3 \times 2^6 \div 2^9 = 2^{3+6} \times \dfrac{1}{2^9} = 2^9 \times 2^{-9} = 2^{9-9} = 2^0 = 1\\\\ \\(b)\\\\(-5)^8 \div (-5)^4 \times (-5)^3\\ \\= (-5)^8 \times \dfrac 1{(-5)^4 \times (-5)^3} \\\\= (-5)^8 \times \dfrac{1}{(-5)^{4+3}} \\\\= (-5)^8 \times \dfrac{1}{(-5)^7} \\\\= (-5)^{8 - 7} \\\\=(-5)^1 \\\\ =-5\\\\\\(c)\\\\\\\dfrac{6^3 \times 6^5}{6^2 \times 6^4}= \dfrac{6^{3+5}}{6^{2+4}}= \dfrac{6^8}{6^6}=6^{8-6}=6^2 =36[/tex]
WILLL MARK BRANILIEST
11 1/12
you have to make the bottom number the same so its 4/12+9/12 which makes 11 1/12
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?
Answer:
600 in the 8% interest and 2400 in the 3% interest.
Step-by-step explanation:
600 + 8% = 48
2400 + 3% = 72
72 + 48 =120
What is the quotient ?
7 with a power of -6 over 7 with a power of 2
Answer: [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]
Step-by-step explanation:
First, since the two roots (7) are the same, you subtract the exponents, which gives you -6 - 2 to get -8, giving you [tex]7^{-8}[/tex]
Next, you change [tex]7^{-8}[/tex] to [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]
I hope that helps :)
Pls help I’ll brainlest ASAP
Answer:
Slope: -1/4x
y-int: 2
Step-by-step explanation:
Pls help Don’t put the answers in files thank you
Answer:
hmmm
Step-by-step explanation:
hmmm
Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.
4(y – 3) = __ - ___
SOMEONE HELP EXTREMELY QUICK PLSSS
how long did it take for Car A to travel 10 meters
Answer:
isnt it 5 seconds?
its quite blurry but i think its 5
It took car A five seconds to travel 10 meters. The 5 on the x-axis aligns with the 10 meters on the y-axis.
Find a coordinate on the line.
y - 5 = 8(x + 2)
Question 3 options:
(8, 2)
(2, -5)
(-2, 5)
(-5, 2)
Answer:
(-2,5)
Step-by-step explanation:
1) Solve for x (11 - 2*) 7 = 21
ok done. Thank to me :>
I need help asap
Please help me!!
contains ordered pairs
Answer:
which question ?
Step-by-step explanation:
32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
people were surveyed.
Answer:
360 people
Step-by-step explanation:
[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]
Hope this helped! :)
Phil is going to purchase a home with a sale price of $225,000. He is able to put 20% down for her down-payment and get a mortgage for the balance. The cost of home insurance is $3,200 yearly. The taxes are $1,170 yearly. He is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.75%. Interest rate for the 15-year mortgage is 2.85%. Phil's credit score is 725.
5) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 30 year fixed?
6) How much will Nick have paid total for the house for the 30-year fixed mortgage?
7) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 15 year fixed?
8) How much will he have paid total for the house if he does a 15-year mortgage?
Answer:
this is hard too
Step-by-step explanation: