Answer:
96
Step-by-step explanation:
The fraction a/b is in simplest terms and equal to the following:((2020^3)-1)/((2021^3)+1) . What is a + b?
Consider the expression
[tex]\dfrac{x^3-1}{(x+1)^3+1}[/tex]
Factorize the numerator and denominator a difference/sum of cubes:
[tex]\dfrac{(x-1)(x^2+x+1)}{((x+1)+1)((x+1)^2-(x+1)+1)}[/tex]
Expand the denominator:
[tex]\dfrac{(x-1)(x^2+x+1)}{(x+2)((x^2+2x+1)-(x+1)+1)}=\dfrac{(x-1)(x^2+x+1)}{(x+2)(x^2+x+1)}=\dfrac{x-1}{x+2}[/tex]
since x = 2020, and clearly 2020² + 2020 + 1 ≠ 0, so we can cancel the factor of x ² + x + 1. This leaves us with
[tex]\dfrac{2020^3-1}{2021^3+1} = \dfrac{2020-1}{2020+2} = \dfrac{2019}{2022}=\dfrac{673}{674}=\dfrac ab[/tex]
so that a + b = 673 + 674 = 1347.
4 Twice the sum of two numbers is 36. If one of the numbers is 10, Twenty years from now, I will be 4 times as old as my present age. What is my present age
Answer:
7
Step-by-step explanation:
The sum of the two number is 10 + x, which when doubled equals 36. Divide the 36/2, which gets to 18. Move the 10 to the other side which gets 18-10 to get 8. 20 years from now, so add 20. 20+8 is 28. 4 times my present age. So do the inverse and you will get 28/4 which equals 7. You're present age is 7.
How much interest is earned on an account if...
Principal = $400
Rate = 8%
Time = 12 months
Answer: $ ---
Principal = $400
Rate = 8%
Time = 12 months
Answer:
$32 Interest but total amount after one year is $432
Overnight shipping cost is a function of package weight. The overnight shipping cost can be calculated using the function f(p)=2p+15, where p is pounds of weight, and f(p) is in dollars. What is the shipping cost for a package that weighs 3 pounds?
Answer:78
Step-by-step explanation:
convert 0.10606060606......... to a fraction
Answer:
7/66
Step-by-step explanation:
The rectangular screen on a laptop has an area of 375 cm ^ 2 Its width is 10 cm less than its length. What are the dimensions of the screen?
Answer:
lenght = 25 cm
widht = 15 cm
Step-by-step explanation:
Dimensions of the screen
375 = (l - 10) × l
375 = l² - 10l
l² - 10l -375 = 0
(l + 15)(l -25)
l = -15 or l = 25
lenght = 25 cm
widht = 25 - 10
widht = 15 cm
Find the product
-3.5)
A. -2.5
B. -2.1
C. -4.9
D. 2.5
Your question is incomplete.
Update: A. -2.5
URGENT HELP PLEASEE SBDHHDS
Answer:
17800
Step-by-step explanation:
a= (t-g)/-0.0035
(-32.3-30)/-0.0035 = 17800
what is 7 1/2 divided by 2 1/4 equeal
Answer:
Mixed number: 3 1/3
Improper fraction: 10/3
Step-by-step explanation:
Answer:
3 1/3 or 10 / 3
Step-by-step explanation:
7 1/2 divided by 2 1/4 =
Multiply 7 by 2.
7 x 2 = 14
Add 1 to 14 because of the 1 in 1/2.
14 + 1 = 15
7 1/2 turns into 15 / 2.
Do the same for 2 1/4.
Multiply 2 by 4.
2 x 4 = 8
Add 1 to 8 because of the 1 in 1/4.
8 + 1 = 9
2 1/4 turns into 9 / 4.
15 / 2 divided by 9 / 4
KEEP CHANGE FLIP!!
15 / 2 x 4 / 9
15 x 4 = 60 & 2 x 9 = 18
15 / 2 x 4 / 9 = 60 / 18
Let's simplify 60 / 18 by dividing by the greatest common factor; 6.
60 / 6 = 10 & 18 / 6 = 3
10 / 3 = 3 1/3
Hope this helped!
what is the relationship between the following two sequence? Sequence 1: 0,1,2,3,4,5 Sequence 2: 0,4,8,12,16, 20
Answer:
1: the number after is equal to the number before plus 1
2: the number after is equal to the number before plus 4
Step-by-step explanation:
PLEASE ANSWER!! WILL MARK BRAINLIEST
ㅤㅤㅤㅤㅤ[tex]\bigstar\boxed{\large\bf{\leadsto -\dfrac{28}{9}}}[/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀
Calculation : [tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-1}{3}-\dfrac{1}{6}}}[/tex]
[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-2-1}{6}}}[/tex]
[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-3}{6}}}[/tex]
[tex]\bf{⟼\dfrac{14}{9}\times -2}[/tex]
[tex]\bf{⟼\dfrac{-28}{9}}[/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀
Use the distributive property to write an expression that is equivelent to 6(10x + 7y).
6(10x + 7y) = _____ + _____
Answer:
60x + 42y
Step-by-step explanation:
60 x 10 = 60
7x6 = 42
HELPP! 7th grade math
Answer:
the length would be 3ft and the width would be 2ft
Step-by-step explanation:
this is because the scale is 1cm:4f ft therefore, 12/4=3 and 8/4=2 which is your final answer
Answer:
LENGTH - 3cm / WIDTH - 2cm
Step-by-step explanation:
Well first off, you would use the scale: 1 cm = 4 ft
With 12, you divide by 4. 12 ÷ 4 = 3
With 8, you also divide by 4. 8 ÷ 4 = 2
So, it would be 3 cm long and 2 cm wide.
giving brainlist
Select all the numbers that are Irrational.
2.35496...
5.4
1.329538...
4.77777...
multi choice*
Answer:
A,C,D
Step-by-step explanation:
Irrational number that keep going and never stop that DONT have a pattern
For example
1/3=0.3
It keeps going on BUT it repeats therefore its rational
Another example
The square root of 13 is 3.6055.......
it keeps going on BUT it doesn't have a pattern therefore its irratianal
Find the equation of the tangent line to the curve y=x sqrtx at point (4,8)
Y=?
Answer: I think y is 32 im not good at this tho
Step-by-step explanation:
What’s LCM of 49 and 63
Answer:
441
Step-by-step explanation:
Finding the Scale Factor and Finding a Dilated Figure
Answer:
#1The scale factor of triangle:
k = 1/2The scale factor of trapezoid:
k = 6/3 = 2#2See the picture for the dilated triangle
Solve for x.
(5x - 9)°
(2x + 21)°
A. 5
B. 10
C. 22
D. 24
Answer:
D. 24
Step-by-step explanation:
5x - 9 + 2x + 21 = 180
7x + 12 = 180
7x = 168
x = 24
What is the value of v?
4/5 is a fraction
4/5 (v−7)=2
Answer:
v = 9.5
Step-by-step explanation:
[tex] \\ \tt \frac{4}{5} (v - 7) = 2[/tex]
[tex] \\ \tt \mapsto \frac{4(v - 7)}{5} = 2[/tex]
[tex] \\ \tt\mapsto \frac{4v - 28}{5} = 2[/tex]
[tex] \\ \tt \mapsto4v - 28 = 2 \times 5[/tex]
[tex] \\ \tt \mapsto4v - 28 = 10[/tex]
[tex] \\ \tt \mapsto4v = 10 + 28[/tex]
[tex] \\ \tt \mapsto \: v = \frac{38}{4} [/tex]
[tex] \\ \tt \mapsto \: v = 9\frac{2}{4} \: or \: 9.5 [/tex]
carry out the following subracting involving rational number 13/36-2/40
Answer:
14/45
Explanation:
Make the denominator of both fractions the same
13/36=130/360
2/40=18/360
130/360-18/360=112/360
112/360=14/45
A cube has a volume of 27 cubic inches. What is the length of each edge of the cube?
Step-by-step explanation:
cube answer=3
?^3=27
3^3=27
Answer:
3x3x3
Step-by-step explanation:
Since volume is height times width times length, it would be 3x3x3=27. Hope this helps!
On a trip, a student drove 42 miles per hour for 3 hours and then drove 26 miles per hour for 5 hours. What is the student’s average rate of speed, in miles per hour, for the whole trip? *
1. 126 MPH
2. 32 MPH
3. 130 MPH
4. 8.5 MPH
Answer:
34 mph
Step-by-step explanation:
Average speed = total distance / total time
Total distance = ( 40 × 2 + 30 × 3 )
= 170 miles
Total time = 5 h
So, avg speed = 170/5 = 34 mph
The weight of an object above the surface of the earth varies inversely with the square of its distance to the center of the earth. If an object weighs 50 pounds when it is 3960 miles from the center of the earth, what would its weight be when it is 3975 miles from the center of the earth?
Answer:
W = K m / R^2 expresses weight of ojject
W2 / W1 = (R1 / R2)^2 ratio of W2 to W1
W2 = W1 * (3960 / 3975)^2 = 50 * .992 = 49.62 lbs
One question !! 20 points
Answer:
it's 10points bro not 20
5 million 4thousand 3 hundred in standard form?
its 5,004,300
sorry for the wrong answer at first i read it wrong
When simplified what is the answers?
Answer:
-1
Step-by-step explanation:
1. To simplify this expression, let's go through the orders of operations:
|2 - 5| - (12 ÷ 4 - 1)^2|-3| - (12 ÷ 4 - 1)^23 - (12 ÷ 4 - 1)^23 - (3 - 1)^23 - (2)^23 - 4-1Therefore, the answer is -1.
the table shows sales data for two sales people at a car dealership. Use rates to compare the performances of the salespeople.
9514 1404 393
Answer:
sales person A demonstrates better performance in all of the ratios we computed
Step-by-step explanation:
A: sales per attempt = $3.3M/167 ≈ $19.8k
sale value per sale made = $3.3M/109 ≈ $30.3k
sales made per attempt = 109/167 ≈ 65%
__
B: sales per attempt = $2.7M/163 ≈ $16.6k
sale value per sale made = $2.7M/97 ≈ $27.8k
sales made per attempt = 97/163 ≈ 60%
Pls help I’ll brainlest ASAP
Please help
I need help creating a table of values for this equation
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I like to let a graphing calculator or spreadsheet do repetitive calculations. It is well worth the few minutes it takes to learn how to enter a formula into any of the available free spreadsheet programs. The Desmos graphing calculator is amazing in its versatility and usefulness.
There are a couple of things that can help make it easier to construct a table of values.
1) recognize the axis of symmetry for this quadratic is ...
x = -b/(2a) = -25/(2(-5)) = 2.5
So, choosing numbers either side of t=2.5 will cut your work in half.
h(2) = h(3)
h(1) = h(4) . . . for example
2) use Horner form to make manual evaluation easier.
h = (-5t +25)t +2 or = (5 -t)(5t) +2
__
Attached is a table of values, and their plot on a graph.
Review the table showing the height of water in a pier.
Which function best models this data?
Time (Hours)
Height (Feet)
y=1+0.69e-0.96x
y = 15.2 + 0.98 In x
y=-0.01x2 +0.3x + 15.4
y=-2.4 sin(-0.5x + 20.4) + 16.5