How would you write (a-b)^5 without simplifying it?
The way we can write the expression (a - b)⁵ without simplifying is by using Pascals' Triangle to get; a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵
How to use Pascals' Triangle of binomial coefficients?Pascal’s Triangle is a method that is used to know the binomial coefficients of terms of binomial expression (x + y)ⁿ, where n can be any positive integer and x,y are real numbers.
For the expression (x + y)⁵, the coefficients are;
1, 5, 10, 10, 5, 1
According to the binomial expansion, the power of m will be decreasing while the power of 5 will be increasing as shown below. Thus;
(a - b)⁵ = (a + (-b))⁵ = a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵
Read more about Pascals' Triangle at; https://brainly.com/question/13602562
#SPJ1
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina’s rate miles per hour if there are 5,280 feet in a mile?
Which girl bikes faster?
Can you please help with with this?
Thanks
Answer:
slope is 3
Step-by-step explanation:
8-5/-2-(-3)=3/1=3 3 is the slope
What is the answer please…
Answer:
answer is T 25............
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds. Use the constraints of the real-world situation to predict the height of the water balloon at 15 seconds. Use complete sentences to support your answer.
From the linear model we can see that the height of the balloon after 15 seconds is 0 feet.
Depending on the context, the phrase "linear model" is used differently in statistics.
The word is frequently used interchangeably with a linear regression model since it occurs most frequently in relation to regression models. The phrase has a different connotation when employed in time series analysis, though. The term "linear" is used in each instance to denote a subclass of models for which a significant decrease in the complexity of the underlying statistical theory is feasible.From the linear model we can see that the water balloon is thrown from a height of 40 feet upwards.
Now the balloon reaches a height of 70 feet and then falls back down on earth due to gravity.
At about 10 seconds the balloon falls on the ground and splashes.
Hence for further time the balloon is always at the ground.
Therefore at time of 15 seconds the height of the balloon is always 0 feet as represented in the linear model.
To learn more about linear model visit:
https://brainly.com/question/28436453
#SPJ1
what is x=.30(729). explain
Answer:
x = 218.7
Step-by-step explanation:
To solve for x, we multiply .30 by 729. Once multiplied, we get the answer 218.7. Therefore, x = .30(729) is the same as x = 218.7.
What is .. 9x-4 = 2x +3
Answer:
X=1
Step-by-step explanation:
9x -4 = 2x+3 :
9x-4=2x+3
9x -4 + 4= 2x + 3+4
Simplify
subtract 2x from both sides
Simplify
Divide both sides by the same factor
simplify
X=1
The area of a square field is 3.24hectares . Find its perimeter in decimeters
The filed has a perimeter value of 720000 decimeters
How to determine the perimeter of the field?From the question, the area of the field is given as
Area = 3.24 hectares
Also, we have the shape of the field to be square
So, we start by calculating the side length of the field using
Length = √Area
Substitute the known values in the above equation
Length= √3.24 hectares
Length= √3.24 * 10000 square meters
Evaluate the square root
Length= 18000 meters
The perimeter is calculated as
P = 4 * Length
So, we have
P = 4 * 18000 meters
Evaluate
P = 72000 meters
Convert
P = 720000 decimeters
Hence, the perimeter is 720000 decimeters
Read more about area and perimeter at
https://brainly.com/question/19819849
#SPJ1
Please help me
What is the sign of 3.456 + \left(-3.456\right)3.456+(−3.456)
A. Positive
B. Negative
C. Neither positive nor negative—the sum is zero.
The sign of 3.456+(-3.456) is neither positive nor negative—the sum is zero.
We are asked to find the sign of 3.456+(-3.456)
This expression can be simply written as 3.456 - 3.456 because of the identity we have, x+(-y) = x-y
Now if same quantities are subtracted, we get zero only.
Also zero is neither positive nor negative.
Hence there is no sign for 3.456+(-3.456).
Also 3.456+(-3.456) = 0.
Learn more about arithmetic operations at https://brainly.com/question/4721701
#SPJ1
The finish line is 253 m away. You begin to run from rest. You must reach a velocity of 53.2 m/s or you will explode. What must your acceleration be?
The acceleration require for the body to not explode will be 0.2941[tex] m/s^2 [/tex]
The finish line as given is 253m away so that distance to be covered will be 253m.
Also we had started to run from rest so that initial velocity will be 0m/s.
We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.
Now average velocity will be the sum of initial velocity and final velocity divided by 2.
∴ Average velocity = (initial velocity + final velocity) / 2.
∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = 26.6m/s
As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.
∴ Average time = distance / average speed
∴ Average time = 253 / 26.6 = 9.51s.
Now as we know by the formula to calculate acceleration we need the average velocity, average time and we have both of them.
∴ Acceleration = [tex] \frac{average\ velocity}{(average\ time)^2}[/tex]
∴ Acceleration = [tex] \frac{26.6}{(9.51)^2}[/tex]
∴ Acceleration = [tex] \frac{26.6}{90.44}[/tex]
∴ Acceleration = 0.2941[tex] m/s^2 [/tex]
click the link below to know more about object acceleration
https://brainly.com/question/605631
#SPJ9
22. A student recorded her scores on weekly math quizzes that were marked out of a
possible 10 points. Her scores were as follows:
8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 7
What is the mode of her scores on the weekly math quizzes?
Answer:
6 since it occurs the most times
What is the
Domain??
Someone pls help me outtt
Answer:
:]
Step-by-step explanation:
[tex]-2\leq x\leq 2[/tex]
Answer:
In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the function
need help please
mrs dawson bought 6 new plants for her garden each plant cost $5 the store gave her a discont so she only paid 2/3 pf a ragular price for each plant
use the propertys of multiplation to find the total cost for all the plants
A. $3.33
B. $20.00
C $45.00
D. $30.00
Answer:
B
Step-by-step explanation:
6x5=30
30x2/3=20
What are the coordinates of the point on the directed line segment from (3,−3) to (7,5) that partitions the segment into a ratio of 5 to 3
The coordinates along the directed line segment is (37/7, 11/7)
How to find the coordinates of the point?The points are given as:
A = (3, -3)
B = (7, 5)
The ratio on the segment can be represented as;
m : n = 4 : 3
So, we have the coordinates of the point that lies along the directed line segment to be
Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
Point = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)
Evaluate
Point = 1/7 * (37, 11)
Evaluate the products
Point = (37/7, 11/7)
Hence, the coordinates of the point is (37/7, 11/7)
Read more about line partitions at:
brainly.com/question/17374569
#SPJ1
What is 6/7 of 2/3 ? PLEASEE HELPPP-
Answer:
4/7
Step-by-step explanation:
6/7 of 2/3
= 6/7 * 2/3
= 12/21
= 4/7
plsssss helpp me out asap
Answer: [tex]m = 7.3\pi[/tex]
I multiplied both sides by pi to isolate m.
please help ASAP
Brainliest
Answer:
Check-mark the ones with the number 7
Step-by-step explanation:
A new health drink has 130% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 45 mg. How many milligrams of the vitamin are in the drink?
In the drink , there are 58.5 milligrams of vitamin .
In the question ,
it is given that
the recommended daily allowance for a certain vitamin is = 45 mg
we have to find the quantity of the vitamin in the drink ,
also given that the amount of vitamin that the new drink has is = 130% of RDA ,
on substituting the value of recommended daily allowance ,
we get
amount of vitamin in the drink is = 130% × 45
= 1.3 × 45 ... because 130% = 1.3
= 58.5 mg
Therefore , the drink has 58.5 milligrams of the vitamin .
Learn more about Percent here
https://brainly.com/question/20295618
#SPJ1
Solve 3(2m + 1) − 3m = −12. m = −5 m equals negative 13 over 3 m equals negative 15 over 6 m = −0.33
The value of m from the given equation is -5. Therefore, option A is the correct answer.
The given equation is 3(2m+1)-3m=-12.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
A general rule for equation solving:
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The given equation can be solved as follows:
6m+3-3m=-12
⇒ 3m+3=-12 (Subtract the like terms)
⇒ 3m=-12-3 (Transpose 3 to other side of the equation)
⇒ 3m=-15
⇒ m=-15/3 (Transpose 3 to other side of the equation)
⇒ m=-5
The value of m from the given equation is -5. Therefore, option A is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/1529522.
#SPJ1
Answer:
m=-5
Step-by-step explanation:
CAN SOMEONE HELP
BD//EF, BF//DE
AB=8cm BC=12cm
x=?
The value of x is 4.8cm.
Here BD // EF and BF // DE
So from this, we have ∠ABF = ∠EFC
Let's take two triangles ΔABC and ΔFCE
∠C =∠C (common angle)
∠ABC = ∠EFC
So ΔABC ≅ ΔEFC
So ∠BAC = ∠FEC
AB/ EF = BC/ FC
AB = 8cm, EF =x, BC = 12cm, FC= 12-x
8/x = 12/ 12-x
2/x = 3/ 12-x
24 - 2x = 3x
5x = 24
x = 4.8cm
Therefore the value of x is 4.8cm.
To know more about the triangle refer to the link given below:
https://brainly.com/question/17335144
#SPJ9
Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar. What is the most relevant image she should add to her slide?
From following steps, she can add relevant pictures to her slide.
What is PowerPoint?It is a presentation-based program that employs graphics, movies, etc. to enhance the interactivity and appeal of a presentation. A saved PowerPoint presentation has the ".ppt" file extension. PPT is another name for a PowerPoint presentation that includes slides and other elements. Create presentations from scratch or using a template with PowerPoint on your PC, Mac, or mobile device. Include text, pictures, artwork, and videos. Using PowerPoint Designer, pick a polished layout. Cinematic motion, transitions, and animation should be added.
Given Data
Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar.
From following steps, she can add relevant pictures to her slide.
Open the slide to which you wish to add a photograph.
Point to Picture in the Insert menu, and then click Photo Browser.
Navigate to the image you want to insert in the dialogue box that appears, click it to pick it.
Then drag it to the slide.
To learn more about PowerPoint, visit.
https://brainly.com/question/17215825
#SPJ13
A warehouse is 64 yards long, 28 yards wide, and 8 yards high. What is the area of the warehouse floor? If the warehouse is filled to half its height with tightly packed boxes, what is the volume of the boxes?
The volume should be 7168 yards
The area for the floor should be 14,336 yards
Warehouse details:
64 yds long
28 yds wide
8 yds high
---------------------------------------------------------------------------------------
What is the area of the warehouse floor?
the base of the warehouse is 64*28
which is 1792 yds squared
1792 yards squared
If the warehouse is filled to half its height with tightly packed boxes, what is the volume of the boxes?
half the height of the warehouse is 8/2=
4 yards
the volue of half the warehouse is
1792 * 4 = 7168 yds squared
I'm not quite sure how they want me to answer this but this is all that I got
(this part below can't be trusted)
either the boxes can be 1x1x1 which means 7168 boxes will fit
either the boxes can be 2x2x2 which means 896 boxes will fit
either the boxes can be 3x3x3 which means 265.481481 boxes will fit, which is definetly not it because they said "filled...tightly packed boxes".
plus, we don't know if the boxes are square or rectangle so I'm not sure
Under her cell phone plan, Salma pays a flat cost of $55 per month and $5 per gigabyte. She wants to keep her bill under $75 per month. Use the drop-down menu below to write an inequality representing gg, the number of gigabytes she can use while staying within her budget.
Brown bears attempt to catch salmon. during the day, 20% of the attempts are successful. during the night, 36% of attempts are successful. a bear tries to catch 40 fish during the day and makes 50 attempts at night. use probability to estimate the number of fish the bear caught.
The probability for the number of fish the bear caught is 0.289
Given,
Number of fish the bear tries to catch during day = 40
Number of attempts made by the bear at night = 50
Percentage of successful attempts during day = 20%
Percentage of successful attempts at night = 36%
Number of fish the bear caught during day = 40 × (20/100) = 4 × 2 = 8 fish
Number of fish the bear caught at night = 50 × (36/100) = 36/2 = 18 fish
Total number of fish the bear caught = 8 + 18 = 26 fish
Now,
Probability for the number of fish the bear caught:
Probability = Number of fish caught / Total attempts
Probability = 26 / (40 + 50)
Probability = 26 / 90
Probability = 0.289
Therefore,
The probability for the number of fish the bear caught is 0.289
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ1
HELP ASAP NEEDS TO BE DONE BY TONIGHT
Answer: y = (5x/4) + 2
Step-by-step explanation:
Answer:
y = 5/4x + 2
Step-by-step explanation:
First, we convert 4x + 5y = 15 to slope intercept form (y=mx+b):
5y = -4x + 15
Divide both sides by five
y = -4/5 (x) + 3
The slope is -4/5
A perpendicular slope is the negative reciprocal of the other line. To find the negative reciprocal, you switch the numerator and denominator and switch the sign.
Slope = 5/4
Plug the slope and (-4, -3) into the slope-intercept form:
-3 = ( 5/4 · -4 ) + b
Isolate b (the y-intercept):
-3 = -5 + b
b = 2
y = 5/4x + 2
Anton picks corn at a local farm. He is paid 80 cents per bushel for the first 50 bushels, 90 cents per bushel for the next 50 bushels, and 95 cents per
bushel for all bushels picked over 100.
Determine how much Anton would earn if "x" is 128 bushels. $
Anton would earn $111.6 if "x" is 128 bushels.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that Anton picks corn at a local farm.
Anton is paid 80 cents per bushel for the first 50 bushels, 90 cents per bushel for the next 50 bushels, and 95 cents per bushel for all bushels picked over 100.
Thus, First 50 bushels: 0.80 x 50 = 40
Next 50 bushels: 0.90 x 50 = 45
Remaining bushels: 0.95 x 28 = 26.6
Total = $40 + $45 + $26.6 = $111.6
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
Please help math 100 points its easy.
From the given statement based on different conditions following are true :
Statement 2, 3, 4 are true
As given in the question,
1. Lisa has 1 4/12 cups of grapes = 16 /12 cups
Dawn has 1 11/12 cups of grapes = 23 /12 cups
Together they have = (16/12) + (23/12)
= (39 /12) cups of grapes
Given statement of 2 1/2 cups of grapes is false.
2. Rachel has 1 7/15 cups of chocolate chips = 22/15
Maya has 8/15 cups of chocolate chips
Rachel has more cups of chocolate chips than Maya
Difference = (22/15) - (8/15)
= 14 /15
3. George has 2 5/10 cups of milk = 25 /10
Raymond has 1 1/10 cups of milk =11 /10
George has more cups of milk than Raymond
Difference = (25 /10) - (11/10)
= 14/10
= 1.4 cups of milk
≈ 1 cup of milk (approximately)
Statement is true.
4. Gavin has 1 13/14 buckets of water = 27 /14
Devin has 1 3/14 buckets of water = 17 /14
Together they have = (27/14) +(17/14)
=44/14
= 3.14
≈ 3(approximately) buckets of water
Statement is true.
Therefore, from the given statement based on different conditions following are true :
Statement 2, 3, 4 are true .
Learn more about statement here
brainly.com/question/2285414
#SPJ1
Which choice shows 2-3-15 rewritten correctly using the commutative property and then simplified correctly?
According to the commutative property of addition, you can rearrange the addends without altering the result.
2 + (-3) +(-15) = (-3) +(-15) +2
What is commutative property? Commutative law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution. Division and subtraction do not work interchangeably.According to the commutative property of multiplication, the result will always be the same regardless of the sequence in which the numbers are multiplied.According to the associative property of addition, you can arrange the addends in several ways without changing the result. According to the commutative property of addition, you can rearrange the addends without altering the result.To learn more about : Commutative
Ref : https://brainly.com/question/778086
#SPJ13
Which expression is equivalent to t+4+3-2t
Answer:
7-t
Step-by-step explanation:
t+4+3-2t
= t+7-2t
= -t+7 or 7-t
[PLS HELP I’LL RATE BRAINLIEST] What is the measure of (5y+5)
Answer:
5y + 5 = 80
Step-by-step explanation:
5y + 5 +6y + 10 = 180 A straight angel is 180 Combine like terms
11y +15 = 180 Subtract 15 from both sides
11y = 165 Divide both sides by 11
y = 15 Substitute 15 in for y
5y + 5
5(15) + 5 = 80
Answer:
80 THIS TOOK ME SO LONG LOL
Step-by-step explanation:
Add all like terms together:
11y+15=180
And then subtract 15:
11y=165
Then Divide by 11:
y=15
Then you input the Y and solve:
5(15)+5
75+5
80