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]
1.5 tenths x 20 = ______ tenths
Answer: 1.5 times 20 equals to 300
What is the value of P(C or T)?
A.
B.
C.
D
MARK ME AS A BRAINLIST..........
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°
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 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
what is c(4+3c)-0.75(c+3) simplified
Write the equation of the line through (6, 1) and perpendicular to x+2y−12=0.
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:
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!! :)
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!
Which of the following would be the most accurate equation for the scatter plot?
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:
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
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:
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
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
29/3 as an a mixed number
Answer:
9.6 repeating
Step-by-step explanation:
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
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
Find the value of X.
Answer:
x=16
Step-by-step explanation:
(4x+2)+(x+8)=90
5x+10=90
5x=80
x=16
IS IT 18, OR 27 ON EDGE
Answer:
Could we get a bit more info?
Step-by-step explanation:
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
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).
Is 7/15 reapeating or terminating
Answer:
It's repeating.
Step-by-step explanation:
0.46666666666
Which of terms could be added to √5?
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 does E stand for?
Answer:
E stands for the power of ten the number is multiplied by
I thonk
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
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.