Answer:
9y(16x2−12xy+3y2)
Step-by-step explanation:
Factor 64x3−(4x−3y)3
144x2y−108xy2+27y3
=9y(16x2−12xy+3y2)
Answer:
9y(16x2−12xy+3y2)
At 4:00 a.m., the temperature was -9°F. At noon, the temperature was 18°F. What
was the change in temperature??
help me pls :\
A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?
Answer:
10
Step-by-step explanation:
[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]
[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]
[tex]\\ \rm\longmapsto Speed=80km/h[/tex]
Time=14h[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]
[tex]\\ \rm\longmapsto Distance=80(14)[/tex]
[tex]\\ \rm\longmapsto Distance=1120km[/tex]
12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6
Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:
The number of triangles that can be formed by an n-sided shape is n - 2.
Given that:
[tex]n \to[/tex] number of sides
From the attached figures, we have the following observation.
3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 trianglesIf this pattern continues, the number of triangles for an n-sided shape will be: n - 2
Hence, the conjecture is:
The number of triangles that can be formed by an n-sided shape is n - 2.
Read more about conjectures at:
https://brainly.com/question/15947300
Geometry question. Parallel lines. “Find value of x that will make A||B”
Answer:
x = 11
Step-by-step explanation:
These angles are alternate exterior angles which means they are equal to each other:
5x + 9 = 6x - 2
5x - 6x = -2 - 9
-x = -11
x = 11
PLEASE HELP 25 points and brainliest!
Answer: 8.1 × 10¹⁰
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁶) × (2.7 × 10⁴)
Put like terms together
=3 × 2.7 × 10⁶ × 10⁴
Combine like terms
=8.1 × 10⁶⁺⁴
=[tex]\boxed{8.1*10^{10}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
8.1 x 10^10
Step-by-step explanation:
When you do this type of problem you want to combine the like terms together, in this case is this.
3 × 2.7 × 10⁶ × 10⁴. So you will get.
8.1 x 10⁶⁺⁴
Which is 8.1 x 10^10 simplified
Two dice are rolled. A = ‘sum of two dice equals 3’ B=‘sumoftwodiceequals7’ C=‘at
least one of the dice shows a 1’ (a) What is P (A|C)?
(b) What is P (B|C)?
(c) Are A and C independent? What about B and C?
Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.
We have
• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)
• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)
• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)
(a) By definition of conditional probability,
P(A | C) = P(A and C) / P(C)
A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately
P(A and C) = P(A)
so that
P(A | C) = (1/18) / (1/3) = 3/18 = 1/6
(b) From the definition,
P(B | C) = P(B and C) / P(C)
By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so
P(B and C) = (2/36) / (1/3) = 6/36 = 1/6
(c) In order for two events X and Y to be independent, we need to have
P(X and Y) = P(X) P(Y)
or in terms of conditional probability,
P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)
Then it follows that A and C are not independent, while B and C are independent.
A jar contains some number of pennies. When pennies are removed 2, 3, 4, 5, 6 or 8 at a
time, one penny is left over. There are no pennies left over when they are removed 7 at a
time. What is the least number of pennies that could be in the jar?
Answer:
721.
Step-by-step explanation:
The total number must be a multiple of 7
One less than the number is the LCM of 2 3 4 5 6 and 8.
The LCM is worked out as follows
2
3
4 = 2*2
5
6 = 2*3
8 = 2*2*2
LCM = 2*2*2* 3*5 = 120
But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.
240 + 1 = 241 - not divisible by 7
480 + 1 = 481 - not divisible by 7
720 + 1 = 721
721/7 = 103
Answer:
Step-by-step explanation:
Let say n the number of pennies in the jar.
n is a multiple of 7 : n=7*k
n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120
n-1=120*t
n-1=120*t
n=7*k
120*t=7k-1
7k=120*t+1
[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]
The least number of pennies is 721 (when a=0)
Proof:
n-1=720
720/2=360
720/3=240
720/4=180
720/5=144
720/8=90
721/7=103
Which of the following is not true about the number given below?
-6.7
a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.
PLEASE HELP ME!
Answer:
b. The opposite of the number is negative
Step-by-step explanation:
the opposite of -6.7 would be 6.7 not a negative
Find the surface area of this cube in cm²? 25 mm
V=1/3πr²(h-1) find h
Answer:
[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]
Step-by-step explanation:
Hi there!
[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]
Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:
[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]
[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]
Add 1 to both sides:
[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]
I hope this helps!
f(x) = 3x2 – x
Find f(10)
Answer: f(10) = 290
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given expression
f(x) = 3x² - x
Substitute values into the expression
f(10) = 3(10)² - (10)
Simplify exponents
f(10) = 3(100) - (10)
Simplify by multiplication
f(10) = 300 - 10
Simplify by subtraction
f(10) = [tex]\boxed{290}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
v/6 > 11
solve for the inequallity
please will mark brainliest
Hi ;-)
[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]
Is -√15 irrational or rational
You start at (-4, -5). You move up 5 units. Where do you end?
Answer:
-4,0
Step-by-step explanation:
Moving up 5 units means moving 5 positive units in the y axis.
-5 + 5 = 0.
Therefore, you end up in (-4,0)
Solve the compound inequality.
3 > 2x or x - 4 > 2
x <
or x >
Answer:
so our x is <
less than
explanation: 3>2x= 1.5<x
x- 4>2 =6<x
Find the area of the circle. Use 3.14 for pi.
Circle diameter of 12 inches.
A: 113.04in^2
B. 452.16in^2
C. 37.68in^2
D. 354.95in^2
Please, show your work if you have a answer to this question.
Answer:
A: 113.04in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
We know the diameter is 12 inches so the radius is 1/2 the diameter
r = 1/2 d =1/2(12) = 6inches
A = (3.14) (6)^2
A = 113.04 in ^2
Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits
Answer:
5,12,13
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the boxes, about how tall will the stack be?
The stacked boxes would be 2.72 feet tall
The height of the stacked box is the sum of the lengths of the two boxes
1 4/11 is a mixed number and it has to be converted to a decimal
A mixed number is a number that has a whole number and a proper fraction.
A proper fraction is a fraction is which the numerator is less than the denominator.
The whole number is 1 and the proper fraction is 4/11
To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number
4/11 = 0.36
1 + 0.36 = 1.36 feet
Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet
To learn more about decimals, please check:
https://brainly.com/question/18657762?referrer=searchResults
Ok guys i need HELP so im new to this school, and there is this boy he is rlly FINE, and i rlly like him, i think he likes me back, but i dont know. so far, i caught him staring at me in class, he complimented my waterbottle, and he trys to keep a coversation going. I play softball, he plays baseball, and he thinks thats cool i play softball, oh and he always begs me to pick him to be on my team for pe class. do u think he likes me? if so how can i make him like me more. and how do i tell him i like him?
Answer:
girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.
Step-by-step explanation:
A number is considered "blue" if the sum of its digits is equal to the product of its digits. Which of the following
is "blue"?
Answer:
gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc
Answer:
212205
Step-by-step explanation:
Well each letter is a number of a alaphabet
Ray's birthday is 8 more than four times the number of days away from today than Jane's birthday. If Ray's birthday is 24 days from today, how many days untill Jane's birthday?
Answer:
4 days
Step-by-step explanation:
Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.
PLEASE HELP MARK BRAINLIESTS!!!!
Answer:
x=15 y=3
Both (4x+10y) and (6x) equal 90 degrees, as angle 4x+10y is vertical to a 90 degree right angle, and angle 6x is directly beneath the right angle, making it equivalent. To find x, you simply do 90/6, which is 15, meaning x=15. Now plug in that into 4x+10y=90, which will make it 60+10y=90. Subtract 60 from 90, and divide the difference, 30, by 10, giving you 3, thus showing that y=3. You can double check by plugging in the x and y values.
A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?
Answer:
Small shirts = 12 shirts
Large shirts = 18 shirts
Step-by-step explanation:
Given information
There are plans for ordering 24 medium shirts.
For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.
STEP ONE: Find how many groups of [4 medium shirts] are ordered.
24 / 4 = 6
There should be 6 groups of 4-medium-shirts orders.
STEP TWO: Find the number of small shirts.
6 × 2 = 12 shirts
STEP THREE: Find the number of large shirts.
6 × 3 = 18 shirts
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
can we add 4x and 3y? why?
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
no we cannot add them, though we can multiply or divide them. You cannot add them because they have different variables, we need the same variables to add or subtract those.
Step-by-step explanation:
Hope it helps
keep smiling :)
please answer these question I will mark brainliest please only do part c and f
Answer:
c.15+2z/6x-12y
f.7a+b/4a-6b
Step-by-step explanation:
z+1/x-2y - 2x-3/2x-4y + z/3x-6y
z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)
6(z+1)-3(2z-3)+2z
15+2z/6x-12y
3a/2a-3b - a+b/2(-3b+2a)
6a+a+b/2(2a-3b)
7a+b/4a-6b
someone pls explain how to get the answer pls..
Answer:
B
Step-by-step explanation:
For example, if i gave u 28
The digit two stands for 20, and the digit 8 stands for 8, therefore u call it 28
Each spot has it own name
For example if i gave u the number 12345
5 is in the first spot, therefore 5 x 1 =5
4 is in the tenth spot, therefor 4 x 10 = 40
3 is in the hundred spot, therefore 3 x 100 =300
2 is in the thousand spot, therefore 2 x 1000=2000
1 is in the ten thousand spot, therefore 1 x 10000
=100000
So if u add all these numbers together u will get
12345
OK, so for your question, the 6 in 558672, is in the hundred spot, so 6 x 100 =600
The 3 in 74139 is in the ten spot, so 3 x 10=30
So the product is to multiply them together
600 x 30 =18000
The diameter of a cylindrical propane tank is 6 feet the total volume is 989.9 cubic feet find the length of the tank
→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...
→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...
→100 lb tank: 4 feet tall and 18” diameter. ...
→420 lb tank: 4 feet tall by 3 feet diameter. ...
→500 gallon tank: 5 feet tall by 10 feet long.
Hope this helps ^_^
In a sample of 600 college students, 87.2% said they graduated from high school. How many of the students graduated from high school?
Answer:
523.2 students
Step-by-step explanation:
87.2%×600=523.2 students
Answer:
523.2
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
write as a single fraction in it's simplest form:
[tex]x - 8 \div x + 3x \div x + 1[/tex]
Answer:
-8/3x
Step-by-step explanation:
-8 / 3x / 1
-8 / 3x
.....
..
Someone plz help giving brainliest
Answer:
Its C.
Step-by-step explanation:
I had this and its C. trust me
