Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
llama ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute
Answer:
0.25 laps per minute
Step-by-step explanation:
Laps per minute is synonymous for laps/minutes. Thus, 2 laps in 8 minutes is 0.25 laps per minute. Hope this helps!!
Solve for x:
1/5(5x + 12) = 18
Answer:
5x+12=18*5
5x=18*5-12
x=(18*5-12)/5
x=78/5
How many solutions does the equation 4x + 28 = 4(x + 3) +16 have? Α 0 B. 1 C. 2 D. infinitely many
Answer: I think maybe zero
Step-by-step explanation:
(6 - 1) + (3m)i = -12 + 27i
Answer:
We want to solve the equation:
(6 - 1) + (3m)i = -12 + 27i
Where m is a complex number.
first, we can rewrite this as:
5 + 3*m*i = -12 + 27*i
3*m*i = -12 - 5 + 27*i
3*m*i = -17 + 27*i
And we can write m as:
m = a + b*i
Replacing that in the above equation we get:
3*(a + b*i)*i = -17 + 27*i
3*a*i + 3*b*i^2 = -17 + 27*i
and we know that i^2 = -1
3*a*i - 3*b = -17 + 27*i
The real part in the left (-3*b) must be equal to the real part in the right (-17)
then:
-3*b = -17
b = -17/-3 = 17/3
And the imaginary part in the left (3*a) must be equal to the imaginary part in the right (27)
then:
3*a = 27
a = 27/3.
Then the value of m is:
m = a + b*i = (27/3) + (17/3)*i
Which of the following is the slope intercept form of the equation
3x - 8y = 16
A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2
Answer:
y = 3/8 x - 2
Step-by-step explanation:
Put 8y on the other side to get
8y + 16 = 3x
8y = 3x - 16 and thus
y = 3/8 x - 2
A fair, six sided dice is thrown twice.
What is the probability that a 3 is thrown on both occasions?
Evaluate |-5| I don’t know the answer?
Answer:
5
Step-by-step explanation:
when it has the two bars think of the exact opposite of that certain number and thats what it is (its called absolute value).
Two parallel lines are crossed by a transversal. Vertical and parallel lines h and i are cut by transversal g. At the intersection of lines h and g, the uppercase right angle is 70 degrees and the bottom left angle is x degrees. What is the value of x?
Answer:
x = 70°
Step-by-step explanation:
There are two vertical and parallel lines h and i. Also, a transversal line g cuts across these parallel lines. The intersection of the transversal line and line h produces an upper right angle of 70° and bottom left angle of x°.
These angles x and 70 are vertically opposite angles, hence:
x = 70° (vertically opposite angles are equal to each other)
Answer:
70
Step-by-step explanation:
just did it on edge
find the slop of the line that passes through these two points. (2,-3) (6,4)
Answer:
7/4
Step-by-step explanation:
(-3-4)/(2-6)=
-7/-4=
7/4
Answer:
The answer to the question provided is:
[tex] \frac{7}{4} [/tex]
Step-by-step explanation:
❃This what the slope formula looks like:
[tex]slope = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
❃All we have to do is plug in:
[tex]slope = \frac{4 - ( - 3)}{6 - 2} = \frac{7}{4} [/tex]
❃Therefore, the slope is:
[tex] \frac{7}{4} [/tex]
PLEASE HELP I WILL GIVE BRAINLIEST PLEASE!!!!! THIS IS DUE IN 5 MINUTES!!!! IM DESPERATE
Interest = ?
Principal = $1450
Interest rate = 9%
Time = 5 years
Answer:
$652.50
Step-by-step explanation:
Interest earned = 1450 * (.09) * (5) = $652.50
I'm almost done with schooling any help?
Answer:
The ordered pair that corresponds to point P is: (4, 2)
Step-by-step explanation:
It is clear from the graph that the point P is located at the location (4, 2).
In other words,
at x = 4, y = 2
It means:
The x-coordinate of the point P is: x = 4
The y-coordinate of the point P is: y = 2
Thus, the location of the point P → P(x, y) = P(4, 2)
Please check the attached graph.
Therefore, we conclude that:
The ordered pair that corresponds to point P is: (4, 2)
what type of environment did the aboriginals live in?
individual
community
solo
Answer:
Community
Step-by-step explanation:
did it on edge
what is 3x2 + 5x - x2 - 2x + 3 simplifyed completely
Answer:
2x^2+3x+3
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP 1
The Equation at the end of step 1
(3x2 + 5x) - x2) - 2x) + 3
STEP 2
Trying to factor by splitting the middle term
2.1 Factoring 2x2+3x+3
The first term is, 2x2 its coefficient is 2.
The middle term is, +3x its coefficient is 3.
The last term, "the constant", is +3
Step-1: Multiply the coefficient of the first term by the constant 2 • 3 = 6
Step-2: Find two factors of 6 whose sum equals the coefficient of the middle term, which is 3.
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5
3 + 2 = 5
6 + 1 = 7
Observation: No two such factors can be found !!
Conclusion: Trinomial can not be factored
Final result :
2x^2 + 3x + 3
Hope this helps!
Brain-List?
There are 54 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 2/3 of the remaining houses were sold. How many houses are left to be sold?
Answer:
Step-by-step explanation:
What is 25% of 50? I ready diagnostic test
Answer:
12.5
Step-by-step explanation:
50 times 0.25
Hey there!
[tex]\bold{What\ is\ \ 25\%\ of\ 50?}[/tex]
[tex]\bold{of = multiply (\times)}[/tex]
[tex]\bold{25\% =\dfrac{25}{100}= \dfrac{1}{4}}[/tex]
[tex]\bold{\dfrac{1}{4}\times 50= \dfrac{50\div2}{4\div2}=\dfrac{25}{2}=\underline{12.5}}[/tex]
[tex]\boxed{\boxed{\bold{Answer: 12.5}}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{LoveYourselfFirst:)}[/tex]
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer:
Point B
Step-by-step explanation:
Inside the darkest part where both inequalities are true
Pls help :)
Find the volume.
Belvedere peeled one third of an orange in one sixth of a minute. Find
the rate in oranges per minute.
Answer:
1 orange per half a minute (30 seconds)
PLEASE HELP NOWWW. I NEED TO PASS THIS TO NOT FAIL.
Step-by-step explanation:
What is the image of A(1,-3)?
use the following transformations with each question:
Reflection across the x-axis
Reflection across the y-axis
Reflection across the y = x
Reflection across the y = -x
Step-by-step explanation:
Given A(1 , -3)
Reflection across the x -axis
= A'( 1 , 3)
Reflection across the y-axis
= A'( -1 , - 3)
Reflection across the y = x
= A' ( -3 , 1)
Reflection across the y = - x
=A'( 3 , - 1)
Hope it will help ☺
Girl Scout Troop has an order for 48 cases of cookies; each case contains 12 boxes. They just received a new order for 576 boxes of cookies. How many additional cases of cookies do they need? Please show your calculations!
Answer: 48 cases
Step-by-step explanation:
The Girls Scout Troop has an order of 48 cases of cookie and each case has 12 boxes.
They received a new order for 576 boxes of cookies.
The number of cases they will need for that additional order is:
= 576 /12
= 48 cases
....pls help me :((((((
Answer:
y= -7
Step-by-step explanation:
So first distribute the 8
4=8y+32-4y
now combine like terms (the -4y+8y)
4=32+4y
Subtract 32 on both sides to isolate 4y
-28=4y
now divide 4 on both sides to isolate Y
-7=y
so y= -7
which of the following graphs shows a line with a slope of zero? (pic above)
Answer:
its C
Step-by-step explanation:
7x-6y=18 14x+9y=-27?
Answer: Hope this helped(tried my best thinking what the question was asking)
x=0
y=-3
Step-by-step explanation:
(Im going to add and subtract)
Add:
14x-12y=36
14x+9y=-27
28x-3y=9
Subtract:
-14x+12y=-36
14x+9y=-27
21y=-63
y=-3 (substitute in first equation)
7x+18=18
7x=0
x=0
SO
y=-3 and x=0
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .
Answer:
point, 21 along the x-axis and 115 along the y-axis
Step-by-step explanation:
Answer:
a co-ordinate pair is what they are called
Step-by-step explanation:
21 goes on the x-axis and 115 goes on the y-axis :D
What is the slope of the line?
Answer:
1/2
Step-by-step explanation:
just count graph it will give I 1/3
The following data points represent the number of red candy pieces in each of Nate's bags of candy.
4, 7, 11, 11,2,5,8
Using the data, create a histogram
Answer:
The graph goes the first red piece has one bag and the rest have two so ur graph should kinda look like _---
Step-by-step explanation:
i got it right on khan academy
Franco buys his lunch in the
school cafeteria. The cost of 15 school
lunches is $33.75. If each lunch cost
the same, how much does
one lunch cost?
Answer:
2.25
Step-by-step explanation:
divide 33.75 by 15
33.75/15=2.25
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
A right trapezoid with top side 7 feet and height 7 feet. The bottom side is extended to the right with 3 more feet.
24.5 square feet
59.5 square feet
70 square feet
147 square feet
Answer:
70 square feet
Step-by-step explanation:
This is because the correct formula for this problem is: base x height
Using this formula, you first have to find the base of the trapezoid. Since the square's base is 7 ft, and the triangle's base is 3 ft, you add these together and get 10 ft as a base. For the height, you need the square's height which is 7 ft. Then you multiply and get 70 ft.
hope this helps <3!
Mrs. Cherry earns an 3% commission on homes she sells. A buyer has agreed to buy a home for 94% of its original selling price. The
original selling price of the house is $275,000. How much commission will Mrs. Cherry earn on this sale ?
Answer:
a commission of $7755
Step-by-step explanation:
original price = $275,000 x 0.94 = $258,500
258500 x 0.03 = $7755
Answer:
$7,755
Step-by-step explanation:
94% of $275,000 is $258,500
3% commission off that would be $7,755
good luck!