Answer:
[tex]x^{3}x^{4m}(x^{4m+1} + 1)[/tex]---------------------------------------------
x⁴ⁿ + x²ⁿ⁺¹ = x²ⁿ⁺¹(x²ⁿ⁻¹ + 1)n is an odd integer, let n = 2m + 1
Then
2n - 1 = 2(2m + 1) - 1 = 4m + 2 - 1 = 4m + 12n + 1 = 2(2m + 1) + 1 = 4m + 2 + 1 = 4m + 3x²ⁿ⁺¹(x²ⁿ⁻¹ + 1) = [tex]x^{4m + 3}(x^{4m+1} + 1)[/tex] =[tex]x^{3}x^{4m}(x^{4m+1} + 1)[/tex]The length of a rectangle is 10 centimeters less than its width. What are the dimensions of the rectangle if its area is 171 square centimeters?
Step-by-step explanation:
let the width = y
the length =y-10
area of rectangle=length ×breadth
171 =y-10×y
171=y^2-10y
it turns into quadratic equation
y^2-10y+171=0
cant be solved by factorization therefore use general formula
y=-b+or-√(b^2-4ab)/2a
a=1 (coefficient of y^2) ,b=-10 , c=171
y=--10+or-√{10^2-4(1)(10)}\2(1)
y=10+or-√{100-40}\2
y=10+or-√60/2
y=10+or-(7.74/2)
y=10+3.87
y=13.87cm
OR
y=10-3.87
y=6.13cm
if y=13.87 then width is 13.87&length is 13.87-10
=3.87
OR
if y=6.13 then width is 6.13&length is 6.13-10=-3.87
Simplifique a expressão [5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]²
Answer:
5^43
Step-by-step explanation:
[5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]² =
= [5² . 5² . 5³. 5³ . (5³)³ ]³ : [(5²)² . 5² . 5]²
= [5² . 5² . 5³. 5³ . 5^9 ]³ : [5^4 . 5² . 5]²
= [5^19]³ : [5^7]²
= 5^57 : 5^14
= 5^43
ogress
Find the slope of the line that passes through the
points (2-3) (-1,2). Plot the points first.
Answer:3/3 would be your slope
Step-by-step explanation:
Solve the following
equation and check your answer
Answer:
use the app socratic to find the answer
Answer:
8/9
Step-by-step explanation:
5a-3=a/2+1
2(5a-3)=a+2
10a-6=a+2
10-a=6+2
9a/9=8/9
a=8/9
A circle has a radius of 50 cm. Which of these is closest to its area?
Answer:
Approximately 7853.98
Step-by-step explanation:
The formula to finding the area of a circle based on radius is [tex]\pi r^2\\[/tex], where r is radius. Hope this helped :D
What is the value of x?
Answer:
135°
Step-by-step explanation:
here's your solution
=> we know that , sum of all angles is
equal to 180°
=> hence ,we have two angles
=> 1st angle = 45°
=> 2nd angle = 9x + 18
=>. adding both angle
=> 45° + 9x + 18° = 180°
=> 63° + 9x = 180°
=> 9x = 180° - 63
=> 9x = 117°
=>. x = 117/9
=> x = 13°
=>. hence, the required angle = (13*7) + 18°
=> angle = 135°
hope it helps
Write an exponential model given the two points (6,130) and (7,220).
Answer:
y=90x−410
Step-by-step explanation:
in point-slope form, this would be...
y−130=90⋅(x−6)<-----
If you convert this to slope-intercept form this would be...
y=90x−410
Tickets for the amusement park cost $36 each. Which expression can be used to find the cost, in dollars, of k tickets for the amusement park?
Answer: 36k or 36 * k
Step-by-step explanation:
Each ticket costs $36 each and there are k tickets to b purchased.
To find the cost, you need to multiply the cost of one ticket by the total number of tickets which is k:
= 36 * k
That is the relevant equation.
For instance, assume k is 5. The cost of 5 tickets would be:
= 36 * k
= 36 * 5
= $180
Which is the product of 15 5/12
Answer:
25/4 or 6 1/4
Step-by-step explanation:
15 x 5/12 = 5 x 5/4 = 25/4
please help asap will mark brainliest
Answer:
B: y= -2/7 x - 1/5
Step-by-step explanation:
Slope-Intercept Form equation: y=mx+b
m = slope
b = y-intercept
y = mx + b
y = -2/7 x + (-1/5)
A random representative survey of 100 seventh-graders in Washington Middle School shows that 20 students read 5 or more books over the summer. If there are 275 seventh-graders at Washington Middle School, based on the sample results how many seventh-graders read 5 or more books last summer?
20 out of 100 read 5 or more.
20/100 = 0.2
Now multiply the total students by 0..2:
275 x 0.2 = 55
55 people read 5 or more books.
PLS HELP IM TIMED!!!
Answer:
(10,-1)
Step-by-step explanation:
Answer:
10,-1
Step-by-step explanation:
when going right it adds a positive number to the x axis
when going left it adds a negative number to the x axis (same as subtracting)
when going up it adds a positive number to the y axis
when going down it adds a negative number to the y axis (same as subtracting)
What is the equation for y in the inequality -3(2y+4) < 12 - 4y?
-6y-12<12-4y
First, add 12 on both sides.
-6y<24-4y
Now add 4y on both sides.
-10y<24
Divide -10.
y<-2.4
---
hope it helps
Answer:
y > -12
Explanation:..
Find the area of the figures
Answer:
120.
Step-by-step explanation:
area = L x W which means you multiply 15x 8.
HELP!
What is the missing term? What is the rule? 8 9/10, 7 7/10, 6 1/2 , _________
Answer:
5 3/10
Step-by-step explanation:
You subtract 1 1/5 from the number (n).
(In equation) x = n - 1 1/5
help me plsssssssssssss
9514 1404 393
Answer:
(a) $2.857 million
(b) vertical compression by 1/3; shift left by 6; shift up by 2
Step-by-step explanation:
(a) Find the year difference (2021-2010=11) and put that value where x is. Then do the arithmetic.
g(11) = (∛(11+6))/3 +2 = (∛17)/3 +2 ≈ 2.57128/3 +2 ≈ 0.857 +2
g(11) ≈ 2.857 . . . 2021 revenue in millions of dollars
__
(b) For parent function f(x), the transformation ...
g(x) = a·f(x -h) +k
represents a vertical scaling by a factor of 'a', right shift by h units, and up shift by k units.
Comparing this form to the given g(x), we see ...
a = 1/3 . . . vertical compression by a factor of 1/3
h = -6 . . . .right shift 6 units
k = 2 . . . . up shift 2 units
_____
Additional comment
The vertical scaling is called "compression" when the scale factor is less than 1, and "stretch" when the scale factor is greater than 1. Here, the scale factor of 1/3 means the graph is vertically compressed.
A pile of earth removed from an excavation is a cone measuring 6ft high and 30ft across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 125 cubic feet?
Answer: 14
Step-by-step explanation:
Given
Excavation cone measures
height [tex]h=6\ ft[/tex]
Diameter [tex]d=30\ ft[/tex]
Truck can dump [tex]125\ ft^3[/tex] at a time
The volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Putting values
[tex]\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3[/tex]
No of trips(N) required to accumulate this much volume is given by
[tex]\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14[/tex]
Therefore, 14 trips are necessary to accumulate a cone of volume [tex]1414\ ft^3[/tex]
Please help i dont know the answer and this is due today
Q Nine divided by the product of a number and Five
Q2 The product of a sum and diffrence of x and y
Step-by-step explanation:
Q Nine divided by the product of a number and Five
Let the number = x
product of a number and Five = x * 5 = 5x
The expression is given as;
[tex]\frac{9}{5x}[/tex]
Q2 The product of a sum and difference of x and y
Sum of x and y = x + y
Difference of x and y = x - y
The expression is given as;
(x + y) * ( x -y)
x^2 + xy - xy - y^2
x^2 - y^2
What is the smallest integer $n$ such that $5n + 3 > -10$?
Answer:
-2
Step-by-step explanation:
5n+3= -10
5n = -13
n = -13/5
= -2.6
question is integer
so answer is -2
The smallest integer n is -2
What is an integer?An integer is colloquially defined as a number that can be written without a fractional component.
What is Linear Inequality?In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality.
Given,
5n + 3 > -10
Consider
5n + 3 = -10
5n = -10-3
5n = -13
n = [tex]\frac{-13}{5} =-2.6[/tex]
Therefore the smallest integer n≅ -2
Hence, the smallest integer n is -2
Learn more about Integer and Linear inequality here
https://brainly.com/question/13006729
#SPJ2
A school board voted whether to adopt a new math text book.Those that voted yes outvoted those that voted no by a ratio of 5:1 if 18 total school board members voted in the meeting how many voted yes for new math books?
Answer:
Members that voted yes = 15 Members
Step-by-step explanation:
Members that voted yes : members that voted no = 5 : 1
Total ratio = 5 + 1 = 6
total school board members that voted = 18
how many voted yes for new math books?
Members that voted yes = 5/6 × 18
= 0.8333333333333 × 18
= 15 members
Members that voted yes = 15 Members
members that voted no = 1/6 × 18
= 0.1666666666666 × 18
= 3
members that voted no = 3 members
At what rate has she been making deposits to her savings?
Answer:
20 dollars per month
Step-by-step explanation:
85 = 25 + x3
60 = x3
20 = x
Compare 1 over 7 and 1 over 8
Answer:
1/7 > 1/8
Step-by-step explanation:
In fractions, is the numerator is one on both numbers, then whichever denominator is largest means the fraction is the smallest.
I NEED ANSWER FAST!
. Cylinder A has a radius of 4 inches and a height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of Cylinder B if both cylinders have the same volume?
(Hint: Start by finding the volume of Cylinder A.)
the height of cylinder B is 4 inches
?????Help help help help help
Answer:
trapezoid
Step-by-step explanation:
With a coupon you can get a discount of $12 for a pair of shoes that have an original price of $84. What is the percentage of the discount?
A. Y
B. X
C. W
D. Z
thankssss plzzz helpp
5. The surface of a circular swimming pool has an area of 25 pi square feet. What is the
circumference of the pool?
A. 5 ft
B. 10 ft
C. 50 ft
D. 10 ft
Answer:
B. 10 ft
plz mark me as a brainlist
hope it helps
hello, i need help.
find m∠bae
Answer:
125
Step-by-step explanation:
180-55=125
Plzzzz help meeeeeee
Answer:
34 jerseys
8 Social Media ads
$2,400 Spent on Radio ads
$360 per TV ad
Step-by-step explanation:
2856/84 = 34 jerseys
2000/250 = 8
200*12 = 2400
1800/5 = 360
If you know how many you have and how much they cost multiply
If you know how much was spent and how much they cost divide
If you know how much was spent and how many you have divide