Answer:
[tex]-32x^5+320x^4-1280x^3+2560x^2-2560x+1024[/tex]
Step-by-step explanation:
We must expand [tex](-2x+4)^5[/tex] using the Binomial Theorem.
To do so, we need Pascal's Triangle. Seeing that the exponent is 5, we look at the 5 + 1 = 6th row of Pascal's Triangle. The numbers here are:
1, 5, 10, 10, 5, 1
These will be the numbers to multiply all the distinct terms in the expansion by.
Remember that when expanding this out, we always start by taking the first term (-2x here) to the nth power (here, it's 5th power) and multiplying that by the second term (4 here) to the 0th power:
(-2x)^5 * 4^0 = -32x^5 * 1 = -32x^5
Since this is our first term, we multiply it by the first Pascal number from above: 1. Then, we simply get -32x^5 as our final first term of the expansion.
We repeat this process, each time lowering the first power by 1 and increasing the second power by 2.
2nd term:
(-2x)^4 * 4^1 = 16x^4 * 4 = 64x^4
Multiply by 5:
64x^4 * 5 = 320x^4
3rd term:
(-2x)^3 * 4^2 = -8x^3 * 16 = -128x^3
Multiply by 10:
-128x^3 * 10 = -1280x^3
4th term:
(-2x)^2 * 4^3 = 4x^2 * 64 = 256x^2
Multiply by 10:
256x^2 * 10 = 2560x^2
5th term:
(-2x)^1 * 4^4 = -2x * 256 = -512x
Multiply by 5:
-512x * 5 = -2560x
6th term:
(-2x)^0 * 4^5 = 1 * 1024 = 1024
Multiply by 1:
1024 * 1 = 1024
Hence, our expansion is:
[tex]-32x^5+320x^4-1280x^3+2560x^2-2560x+1024[/tex]
6*9+(6+9)=?
Plz I really need this in the next minute.
helppp meeeeeeeeeeeeeeeeee kdndnd
Answer:
20
Step-by-step explanation:
hope this helped have a nice day!!
Answer: the answer is 20
nancy earns $12.50 an hour cleaning houses, but doesn’t work on saturday or sunday. if she works from 8:00 am to 2:00 pm, how much money will she make ?
Answer:
In a day, Nancy will earn $27.50. In a week, Nancy will earn $437.50.
Step-by-step explanation:
please help me, make sure to tell me the answer, why it is the answer, and how it is the answer
Answer:
Step One
Calculate the area of both the skating area and the spectator area.
Area = L * W
L = 4x
W = 4x
Area = 4x * 4x
Area = 16x^2
Step Two.
Find the radius of the semicircle. R = radius
From the diagram
R = The full length - the length given in the red shaded area.
R = 4x - 2x
R = 2x
Step Three
Find the area of the semicircle.
Area of a full circle = pi R^2
Area of a 1/2 circle = [tex]\frac{\pi *(2x)^2}{2}[/tex]
Area of a 1/2 circle = [tex]\frac{\pi *4*x^2}{2}[/tex]
Area of a 1/2 circle = [tex]\frac{\pi *2*x^2}{}[/tex]
Notice that the 2 in the denominator cancels in part with the 4 in the numerator.
Step Four
Find the area of the shaded area
Area of the shaded Area = Whole Area - Area of the Semi Circle.
Area of the shaded Area = 16x² - [tex]\frac{\pi *2*x^2}{}[/tex]
The answer is the upper right corner choice I think
Find the value of X.
Answer:
x=16
Step-by-step explanation:
(4x+2)+(x+8)=90
5x+10=90
5x=80
x=16
Find the equation of the circle with the given characteristics.
Center: (2, −2) Radius: 2
The solution is:
Answer:
Step-by-step explanation:
The standard form of an equation of a circle is (x - h)² + (y - k)² = r² , where (h, k) are coordinates of a center and "r" is radius.
(x - 2)² + (y + 2)² = 4
Is 7/15 reapeating or terminating
Answer:
It's repeating.
Step-by-step explanation:
0.46666666666
True or False: Rosa has a beginning balance of $4,750 in her Checking account. After
depositing a paycheck (p), she then writes 3 checks (c), withdraw money from an ATM (a),
then gets refunded some money (r). Write an Algebraic Expression that models the
situation.
Is this the correct expression?
$4,750 + p - 3c - a +r
Answer:
true
Step-by-step explanation:
Which of terms could be added to √5?
Write the equation of the line through (6, 1) and perpendicular to x+2y−12=0.
What does E stand for?
Answer:
E stands for the power of ten the number is multiplied by
I thonk
2)
Un ómnibus interprovincial parte de Lima a Huacho cada 30 minutos y otro sale cada 45 minutos. ¿Cada cuántos minutos salen juntos?
Answer:
The leave together every 90 minutes
Step-by-step explanation:
The leave together every 90 minutes:
bus A : 30 + 30 + 30 = 90
bus B : 45 + 45 = 90
what is c(4+3c)-0.75(c+3) simplified
Mr. Cornapple is the fruit & vegetable buyer for a large school district. In a given week, he has a budget of $6,550. Bushels of apples cost $40 each, and bushels of corn cost $30 each. The following inequality represents the amount of money that Mr. Cornapple spends on apples and corn.
Answer:
40x + 30y ≤ 6,550
Step-by-step explanation:
Given:
Cost of each apple bushels = $40
Cost of each corn bushels = $30
Total budget = $6,550
Find:
Inequality
Computation:
Assume;
Total number of apple bushels = x
Total number of corn bushels = y
So,
40x + 30y ≤ 6,550
1.5 tenths x 20 = ______ tenths
Answer: 1.5 times 20 equals to 300
Which of the following would be the most accurate equation for the scatter plot?
The area of the basketball court under the goal is 179.25 square feet. If the cost of
the flooring for the basketball court is $8 per square foot, how much will the flooring
under the goal cost?
Dollars
Answer:
I think its $1,434
Step-by-step explanation:
Because each its 8 dollars per square foot. I multiply 179.25 to get 1,434
Good luck!!!
Answer:
1434
Step-by-step explanation:
If the cost of the flooring for the court is 8 per square foot. Multiply the area of the court under the goal by the cost per square foot Because each its 8 dollars per square foot. I multiply 179.25 to get 1,434
HELP! please! ASAP! pleasee
Answer:
11.9
Step-by-step explanation:
I just know this off the top of my head
The real one is 11.18034
quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?
Answer: 7 lol
Step-by-step explanation:
The number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Glass holds = 1(3/4) cups of water
One cup holds = 1/4 cup of water
Now,
The number of 1/4 cups needed to fill the 1(3/4) cups of water glass.
1/4 x C = 1(3/4)
C/4 = 7/4
C = 7/4 x 4
C = 7
Thus,
The number of times the smaller cup fills the glass is 7.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
What is the value of P(C or T)?
A.
B.
C.
D
MARK ME AS A BRAINLIST..........
IS IT 18, OR 27 ON EDGE
Answer:
Could we get a bit more info?
Step-by-step explanation:
Explain how to get it
Answer:
50
Step-by-step explanation:
let <LPM be x
60+70+x=180 (sum of angle in triangle is 180)
x=50
<LPM=<KPN (being vertically opposite angle)
<KPN= 50
Answer:
Angle NPK° = 50°Step-by-step explanation:
in triangle MPL
60 + 70 +AngleMPL=180(Angle sum property)
Angle MPL = 180 -60-70 = 50°
Angle NPK = AngleMPL
Angle NPK = 50°
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars
could be in the parking lot?
A 64 trucks and 80 cars
B 72 trucks and 73 cars
C 84 trucks and 100 cars
D 96 trucks and 110 cars
Answer:
The answer is A.
Step-by-step explanation:
I hope this helps!
Translate the sentence into an equation.
Three times the sum of a number and 5 equals 9.
Use the variable c for the unknown number.
Answer:
3×c+5=9
Step-by-step explanation:
thats the answer ig
Answer:
3*(c+5)=9
Step-by-step explanation:
Select the image set that matches the ratio 4:2
its the second option since there are 4 circles and 2 oval things.
hope this helps!! :)
What is the equation of the line that passes through the point (5, - 7) and has a slope of
Answer:
B,
Step-by-step explanation:
y - 7 = 3(x - 5)
y - 7 = 3x - 15
y = 3x - 8
answer is B
Please mark me brainliest if this helped,(by clicking the little crown on my answer) it helps a lot (^o^) !
Answer:
y = 4x -13
y = 4x -13Step-by-step explanation:
y= mx + b
y= mx + b m is the Slope
y= mx + b m is the Slopem = 4
y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b
y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b
y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + b
y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation
y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation7- 20 = b
y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation7- 20 = b-13 = b
y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation7- 20 = b-13 = bThe line in slope intercept form is
y= mx + b m is the Slopem = 4Now just plug in the coordinates (5, 7) from above to solve for b7 = 4(5) + b7 = 20 + bSubtract 20 from both sides of the equation7- 20 = b-13 = bThe line in slope intercept form isy = 4x -13
Mr. Brown bought some books at a book sale, including 4 paperback books. 20% of all the books he bought were paperbacks. How many books did Mr. Brown buy in all?
Answer:
20 books
Step-by-step explanation:
20% is 1/5 of 100% so the other 4/5 would be 4 times 5 which equals 20 books it total
Answer:
Mr. Brown bought 20 books.
Step-by-step explanation:
20% times 5 would be 100%. Since Mr. Brown bought 4 books, and that was 20% of all the books he bought, you would have to multiply the number of paper back books by 5 to get the answer of 100% of all books he bought, which would be 20. This problem would look like this 20(5) = 4(5), 100% = 20 books.
29/3 as an a mixed number
Answer:
9.6 repeating
Step-by-step explanation:
The coordinates of point A on a grld are (-3,-2), Point A is reflected across the y-axls to obtain point B. The coordinates of point B are
-2).
Answer:
The coordinates of the image of B(-3, -2) is B'(3, -2).
Step-by-step explanation:
We know that when a point (x, y) is reflected across the y-axis, the y-coordinate remains the same, and then the x-coordinate becomes negative.i.e.
Thus, the image of P(x, y) is P' (-x, y).Given the point
B(-3, -2)Hence, the image of B(-3, -2):
(-x, y) → (-(-3), -2) = (3, -2)Therefore, the coordinates of the image of B(-3, -2) is B'(3, -2).
find the value of x of given figure and solve this question step by step plzz help question number D
Answer:
The value of x is 15 cm
Step-by-step explanation:
#(d)
In Δ BDC
∵ ∠D is a right angle
∴ BC is the hypotenuse
∴ BD and DC are the legs of the right angle
→ By using Pythagoras Theorem
∵ (BC)² = (BD)² + (DC)²
∵ BD = 10 cm
∵ DC = 2√11 cm
→ Substitute them in the equation above
∴ (BC)² = (10)² +(2√11)² = 100 + 44 = 144
→ Take √ for both sides
∴ BC = 12 cm
In Δ ABC
∵ ∠B is a right angle
∴ AC is the hypotenuse
∴ AB and BC are the legs of the right angle
→ By using Pythagoras Theorem
∵ (AC)² = (AB)² + (BC)²
∵ AB = 9 cm
∵ BC = 12 cm
∵ AC = x
→ Substitute them in the equation above
∴ x² = (9)² +(12)² = 81 + 144 = 225
→ Take √ for both sides
∴ x = 15 cm
∴ The value of x is 15 cm