Def. of Prime Factorization: defined as a way of finding the prime factors of a number
[tex]495=3^2*5*11[/tex]
Hope that helped!
Prove. An odd number cubed is an
odd number.
Answer:
If you're looking for the equation, it's:
[tex](2n+1)^3=8n^3+12n^2+6n+1=2(4n^3+6n^2+3n)+2=[/tex] an odd
I know because I got it right on acellus.
please help me Find m
Answer:
60 degrees
Step-by-step explanation:
any closed shape has a sum of 360 degrees, now if you subtract 150 from 360 it gives you 210 minus 90 degrees, it would equal to 120. Now 120 divided by 2 since we still need to find the other two corners we haven't found, that would equal to 60 degrees.
Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5.
y=1/2x
Solution:The slopes of perpendicular lines are opposite reciprocals of each other.The simplest way to determine a number's reciprocal is to flip it over, like so:[tex]-2 ~ - > -\displaystyle\frac{1}{2}[/tex]Now, change the sign:[tex]\displaystyle\frac{1}{2}[/tex]So we have the slope of the line that's perpendicular to the given line.Now, let's find the line's equation.First, let's write it in Point-Slope Form:y-y1=m(x-x1)y-(-2)=1/2(x-4) y+2=1/2x-2 (Point slope)Now, convert to slope-intercept:y=1/2x+2-2y=1/2xHope it helps.
Do comment if you have any query.
Answer:
y=1/2x
Step-by-step explanation:
PLEASE HELP PLEASE HELP PLEASE
blue stars. let’s talk a bit about temperature. The color of a star is a function of its temperature. If a star looks red, that means its surface temperature is approximately 2,500 Kelvin. Just for comparison, our Sun, which actually looks white from space, measures about 6,000 Kelvin. The hotter the star, the further up the spectrum you go. The hottest stars are the blue stars. A star appears blue once its surface temperature gets above 10,000 Kelvin, or so, a star will appear blue to our eyes.
12x +15x² - 18x³
Factorise the expression
Answer:
-3x(2x+1)(3x-4)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Anser and Explanation:
First, factor out an x to get:
[tex]x(-18x^2 + 15x + 12)[/tex]
Then, factor out a -3:
[tex]-3x(6x^2 - 5x - 4)[/tex]
Finally, factor by grouping:
[tex]-3x(6x^2 + 3x - 8x - 4)[/tex]
[tex]-3x(3x(2x + 1) - 4(2x + 1))[/tex]
[tex]-3x(3x - 4)(2x + 1)[/tex]
so -3x(3x - 4)(2x + 1) is the factored expression.
3+3x3+3
Whats the total
21
36
15
Answer:
c. 15
Hope it helpz~
please mark me as brainliest
x+y+z=-6
x-y+3z=-18
2x+2y+2z=-8
Answer:
Step-by-step explanation:
hello :
the system is : x+y+z=-6.....(1)
x-y+3z=-18.....(2)
2x+2y+2z=-8.....(3)
use (3): 2(x+y+z) = - 8 so : x+y+z = -4
use (1) : x+y +z = -6 -6=-4 false
no solutions
could someone help me super duper fast with factoring trinomials
my previous questions are worth 50 each by the way
Answer:
(3a+3b+1)(2a+2b+3)
Step-by-step explanation:
This is the farthest they could be factored
#1
6(a+b)²+11(a+b)+3Let a+b=x
6x²+11x+36x²+2x+9x+32x(3x+1)+3(3x+1)(2x+3)(3x+1)Put value
(2(a+b)+3)(3(a+b)+1)#2
8(x+1)²-14(x+1)+3Let x+1=y
8y²-14y+38y²-2y-12y+32y(4y-1)-3(4y-1)(2y-3)(4y-1)Put value
(2(x+1)-3)(4(x+1)-3)Maria has 9 boxes that each weigh 78 pound.
How many pounds do the boxes weigh altogether?
Answer:
702 pounds
Step-by-step explanation:
9 * 78 = 702
Answer:
If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.
Step-by-step explanation:
9 x 72 = 702 pounds
Your welcome! :)
Convert 85 miles per hour to meters per second. (Use 1.61 km = 1 mile)
show the steps
Answer:
38.0 m/s
Step-by-step explanation:
Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.
__
[tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]
The perimeter of the rectangle below is 222 units find the length of side RS
Answer:
111
Step-by-step explanation:
divide 222 by 2 and you get your answer
Answer:
55.5
Step-by-step explanation:
since we don't know the length or width of any side, one length side will only be 1/4 of 222. And perimeter is all the sides added up. This rectangle will actually be a square.
222/4=55.5
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written??
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6
[distance between any successive Crest or trough]
a = - 4 (flipped)
b = 2π/p = 2π/6 = π/3
k = -2
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
There is not crest given so use distance between troughs
Period (T):-
Distance between two troughs|3-(-3)|6Frequency:-
[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]
[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]
The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not
including 1 pound, and $3.80 for each additional pound or portion of a pound. A model for the total cost C in dollars) of
sending the package is C = 23.50 + 3.80Lx), x > 0, where x is the weight (in pounds).
What is the meaning of the coefficient 3.80 in the context of the problem?
O When the package weighs less than one pound, the price of the package is $3.80.
O For every pound that the package weight increases, the price of sending it increases by $3.80.
O For every pound that the package weight increases, the price of sending it increases by $23.50.
When the package weighs less than one pound, the price of the package is $23.50.
Answer:
For every pound that the package weight increases, the price of sending it increases by $3.80
Step-by-step explanation:
Overnight from KC to Miami = $23.50 for anything less than a pound + $3.80 per additional pound.
This means that for every pound that the package weight increases, the price of sending it increases by $3.80.
Can someone help me?
Answer:
(i) [tex]y = 2x(x-5)[/tex]
(ii) zeros: x = 0 and x = 5
axis of symmetry: x = 2.5
(iii) vertex: (2.5, -12.5)
(iv) see attached
Step-by-step explanation:
Part (i)
Factor: [tex]y=2x^2-10x[/tex]
Factor out the common term [tex]2x[/tex]:
[tex]\implies y=2x(x-5)[/tex]
Part (ii)
Zeros occur when [tex]y=0[/tex]
[tex]\implies 2x(x-5)=0[/tex]
Therefore:
[tex]\implies 2x=0 \implies x=0[/tex]
[tex]\implies (x-5)=0 \implies x=5[/tex]
So the zeros are x = 0 and x = 5
The axis of symmetry of a parabola is x = a where a is the midpoint of the zeros.
[tex]\textsf{midpoint of zeros}=\dfrac{0+5}{2}=2.5[/tex]
Therefore, the axis of symmetry is [tex]x=2.5[/tex]
Part (iii)
The axis of symmetry is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.
[tex]\implies 2(2.5)^2-10(2.5)=-12.5[/tex]
So the vertex is (2.5, -12.5)
Part (iv)
Plot the zeros and the vertex.
As the leading coefficient is positive, the parabola will open upwards, so the vertex is the minimum point.
Draw the axis of symmetry, then sketch the parabola, ensuring each side of the axis of symmetry is symmetrical.
*see attached*
Find the surface area of the pyramid.
Answer:
i think the answer is 87.
Step-by-step explanation:
i think its 87.
Please look at the attachments I posted. Anyone help me please
Answer:
This will be option D
Replace the k with -1/2 and f(x) with x^2
this will look like -1/2*x^2
plug this into a graphing website such as Desmos
step by step
short answer please
Which expression is equivalent to 1/²
Or³
o po
o 12
0,27
Answer:
[tex]r^6[/tex]
Step-by-step explanation:
Hello!
Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex], we can simplify this expression.
Simplify:
[tex]\frac{r^9}{r^3}[/tex][tex]r^{9-3}[/tex][tex]r^6[/tex]The solution is [tex]r^6[/tex]
Find an equation for the line that passes throughthe points (1,-1) and (-3,5)
y = -1.5(x) + 0.5
points: (1,-1) and (-3,5)
slope:
⇒ (y2-y1)/(x2-x1)
⇒ (5-(-1))/(-3-1)
⇒ 6/-4
⇒ -1.5
equation:
⇒ y -(-1) = -1.5(x-1)
⇒ y + 1 = -1.5(x) + 1.5
⇒ y = -1.5(x) + 0.5
Find the value of x
A. 4
B. 10
C. 17
D. 25
Answer:
X can be any of those numbers depending on which equation it is in
Step-by-step explanation:
there would you place -6?
Answer:
Integer
Step-by-step explanation:
Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.
Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.
Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.
Here is a better representation of that if you're a visual learner. Hope this helps!
PLEASE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️!
Answer:
the answer is B.(3,6)
because y>2
so,the answer is 3&6.
Verify experimentally the sum of angle of triangle is 180°
Answer:
Draw line a through points A and B. Draw line b through point C and parallel to line a. Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'. It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees
Can someone help me please?
Answer:
the only answer that makes sense would be the length
If 12% of a number is 30, find 4% of that number.
12%= 30
-> 100%= 30÷12×100
-> 100%= 250
4% of 250
-> 4%=250÷100×4
-> 4%= 10
Moderne Furniture Company had sales of $2,000,000 during its first year of operation. If the sales increased by $200,000/year thereafter, find Moderne's sales in the fifth year and its total sales over the first 5 years of operation.
The segments shown below could form a triangle.
д
C
B
9
11
B
C
O A. True
B. False
Answer:
hi the answer is true
Step-by-step explanation:
hope it helps
The triangle can be formed using the given line segments. Therefore, the given statement is true.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Given that, line segments AC=9 units, BC=4 units and AB=11 units.
If a, b and c are the lengths of the sides of a triangle then
If a ≤ b ≤ c, then a + b > c.
9+4>11
13>11
Therefore, the given statement is true.
To learn more about the triangle inequality theorem visit:
https://brainly.com/question/1163433.
#SPJ7
Betty has some bottles.
4
7
of the bottles are big and
4
5
of the remaining bottles are small. The rest of the bottles are tiny.
What fraction of the bottles are tiny?
Find the missing side.
It's 3ft
Step-by-step explanation:
Volume = lxwxh
252 = 7 x 12 x?
= 84 x?
÷84
3. =?
3x12x7=252
Hope this helps!
The graph of the relation H is shown below.
Give the domain and range of
H
Write your answered using set notation
Using the concepts of domain and range, it is found that:
The domain of the relation is {-1, 2, 3, 4}.The range of the relation is {-1, 0, 2, 4}.What are the domain and range of a relation?The domain of a function is the set that contains all possible input values. On a graph, it is given by the values of x.The range of a function is the set that contains all possible output values. On a graph, it is given by the values of y.In this graph, the points represented are given by: {-1, 2}, {2,0}, {3,-1} and {4,4}. Hence:
The domain of the relation is {-1, 2, 3, 4}.The range of the relation is {-1, 0, 2, 4}.More can be learned about the concepts of domain and range at https://brainly.com/question/10891721