Answer:
Step-by-step explanation:
d
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
Find the GCF
of 10 and 50 using
the distributive
property.
(10+50)
BRAINLIEST
Answer:
10
Step-by-step explanation:
Answer:
I thin the asnweris 60
Step-by-step explanation:
Let me know if i'm right I don't know if I followed all the steps
Kira and Aldo each opened a savings account today. Kira opened her account with a starting amount of, $270 and she is going to put in $85 per month. Aldo opened his account with no starting amount, and he is going to put in $112 per month.
Answer:
so whats the questiob
Step-by-step explanation:
Answer:
so for kira, in a year shes is going to have 1290$ in a year and 645$ in six.
for aldo, hes going to have 1344$ in. ayear and 672$ in 6 months.
aldo has more money per month even tho kira had that starting 270$
Step-by-step explanation:
hope this helps you :)
50 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answer is in picture below
:)
plz help....................
[tex]x + 18 = 54 \\ = > x = 54 - 18 \\ = > x = 36[/tex]
Answer:Option A. x = 36
Hope it helps
ray4918 here to help.
_____________
[tex] \: [/tex]
Step by step :x + 18 = 54
x = 54 - 18
x = 36✔ (A.)
20 × 4¹² / 4⁷ × 4⁹
please answerrrrrrr
Answer:
The answer is 5,368,709,120
What is the mean for the data shown in the line plot? please help fast!
a. 10
b. 6
c. 4
d. 5
Answer:
D. 5
Step-by-step explanation:
read each number from the plot. remember each x represents one number so there are 11 numbers. you divide it then it gives you 5
Answer: The answer is 6
Hopefully, this is correct!
What is the slope of the line on the graph?
Enter your answer in the box.
No links Nothing unrelated
Answer:
6
Step-by-step explanation:
(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6
I don’t get this question at all
Answer:
-12
Step-by-step explanation:
Answer:
-8(-4+x)
Step-by-step explanation:
This is because the value of all the numbers never changes. Because
"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.
Hope this helps! :)
hjjhhhhhhjjjjjjjjhjjhhhhh hhhhhj h
Answer:
YASSSSSSSS
Step-by-step explanation:
Answer:
dnbdjdndh hdhdhbdjf
xnxnxnnxnxnfnf
ndndndndjf
help plssssssssssssssssssssssssssssssssssssz
Answer:
2x+y=-10
Step-by-step explanation:
The difference between 13 and a number is 4 more than twice the number
Answer: 3
Step-by-step explanation:
Let the number be 'a'.
Since the difference between 13 and a number is 4 more than twice the number, then 13 - a = 2a + 4
⇒ 13 - a = 2a + 4
2a + a = 13 - 4
3 a = 9
a = 3
∴ the number is 3IT IS 2AM AND ITS DUE IN LIKE AN HOUR PLEASE HELP
PLEAS HELP SOLVE FOR A WITH STEPS PLZ DUE TONIGHT
Ans wer
i dont know hmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
4.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).
Answer:
D. The relationship is linear; y + 9= -4/5(x + 2).
Step-by-step explanation:
yes its linear because the x values increase by a constant value 4 and the y values by a constant value -5.
one general form for a linear equation is
y - y1 = m(x - x1) m = slope and (x1,y1) is a point on the line
from the data the slope iis (-7-(-2)) / (-5-(-9) = -5 / 4
so using the point (3, -17):-
y - (-17) = (-5/4) ( x - 3)
y + 17 = -5x/4 + 15/4
4y + 68 = -5x + 15
4y = -5x - 53
thats the equation of the line
find the value of :[5x+y+z][5x+y+z][5x+y+z]
Answer:
Step-by-step explanation:
(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc
a = 5a ; b =y ; c = z
(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³
= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z
= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
Which of the following best describes the line passing through (0, 1) with a slope of
-1/2?
Answer:
I would say A,B, or D
Step-by-step explanation:
May I please receive help?
Answer:
Line 1 and 2 are neither
Line 1 and 3 are parallel
Line 2 and 3 are neither
Step-by-step explanation:
y = ⅗x -6
10x-6y=6
5y=3x+6
-6y= -10x + 6
y= -10/-6x +6
y= 5/3x+6
5y= 3x+6
y=⅗x+6
Where did we get one?
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
How many people have to buy tickets for the two companies to have the same price?
y=22x+10
y=25x+4
Which expression(s) are equivalent to -12.48 Show me how to do it pls
-416 x 0.3.
-3 x 41.6.
-4.16 x 3
All of the above
Answer:
C. -4.16 x 3Step-by-step explanation:
Find the values of expressions and compare with -12.48:
-416 * 0.3 = -124.8 ≠ -12.48, No-3 * 41.6 = -124.8 ≠ -12.48, No-4.16 * 3 = - 12.48, Yes#1
-416(0.3)-12.48Yes
#2
-3(41.6)-124.8No
#3
-4.16(3)-12.48Yes
How can data be represented?
Data can be represented in tables, charts, and graphs.
what is the sum of the interior angles of an equilateral triangle?
Answer:
180°is the sum of the interior angles of an equilateral triangle
Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than the boys
Answer:
18
Step-by-step explanation:
The boys collected:
12 · 16 = 192
The girls collected:
15 · 14 = 210
So the girls collected 18 more cans more than the boys.
(Integers calculation)
find the 10th and 21st terms of -3,1,5,9
Answer:
33, 77
Step-by-step explanation:
-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77
Answer:
The 10th Term is; 33.
The 21st Term is; 77
Step-by-step explanation:
You need to add 4 each time to get a term. The first term is -3 so -3+4=1. Then 1+4=5, and 5+4=9 and so on.
-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77
The slope of a line is 0, and the y-intercept is 6. What is the equation of the line written in slope-intercept form?
A. Y = x + 6
B. Y = 6x
C. Y= 6
Answer:
C
Step-by-step explanation:
slope('m") = 0 y-intersect ("b") = 6
y= mx + b
y = 0x + 6
y = 6
50 pts
A cube has a volume of 73 cubic centimeters. What is its surface area in
square centimeters?
Just type the number of the answer.
one kilometer is 1000 meters complete the tables what is the interpretation of the constant of proportionality
Answer:
Step-by-step explanation:
Left side:
250=1/4 km (0.25)
12 meters=0.012
1 meter= 0.001
Right side: 5=5000 meters
20=20000 meters
Step-by-step explanation:
Left side: You divide each number by 1 km, and you should get the answer.
Right side: Do the same for the right side. But, instead of division, use multiplication.
Real answers and explanations ONLY! I’ll name you brainiest if correct
Answer:
1/10⁶ or 0.000001Step-by-step explanation:
For every time you have a probability of getting 1 is:
P(1) = 1/10For all 6, the probability of outcome of 1 is:
P(1x6) = (1/10)⁶ = 0.000001Probability of 1
P(1)=1/10Probability of 6
P(1×6)
(1/10⁶)10^{-6}A caterer will provide the meal for the football banquet. The caterer charges a base fee of $400 plus $6 per plate.
A. Write an equation for the function where y represents the total cost and x represents the number of guests.
B. What does the slope mean in this situation?
C. What does the y-intercept mean?
Answer: y = 6x + 400
slope = the increase in cost per extra plate
y-intercept = total cost