[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]
submarine titan descended 93 meters into the ocean to look for fish. Submarine Odyssey descended 3 times as deep. What is Odyssey's depth below sea level in meters?
Answer:
279 meters
Step-by-step explanation:
This is just some simple multiplication. 93*3=279
Submarine Odyssey's depth below sea level is 279 meters.
Given that two submarines titan and odyssey, titan descended 93 meters and odyssey descended 3 times as deep.
We need to find the depth of the submarine odyssey.
To find Odyssey's depth below sea level, we can start by determining the depth that Submarine Titan descended.
According to the given information, Submarine Titan descended 93 meters into the ocean to look for fish.
Now, we need to find the depth that Submarine Odyssey descended, which is three times as deep as Submarine Titan.
We can calculate this by multiplying the depth of Submarine Titan (93 meters) by 3:
Depth of Submarine Odyssey = 93 meters x 3 = 279 meters
Therefore, Submarine Odyssey's depth below sea level is 279 meters.
Learn more about multiplication click;
https://brainly.com/question/16334081
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What is one-half of one-third of three-quarters of 720?
Answer:
90
Step-by-step explanation:
3/4 of 720 is 540. 1/3 of 540 is 180. 1/2 of 180 is 90.
Answer:
90
Step-by-step explanation:
Three quarters of 720 is 540
One third of 540 is 180 and
One half of 180 is 90
So the answer is 90
please answer the question :]
Match the vocabulary word with the correct definition.
1. rectangular solid
A:A segment whose endpoints are vertices not in the same face.
2. faces
B:A solid figure whose faces are all rectangles.
3. diagonal of a rectangular solid
C:The sides of a solid figure.
Answer:1-C 2B 3A
Step-by-step explanation:
Which expression is equivalent to -p+2 -2p+ 8?
Answer:
- 3p + 10
Step-by-step explanation:
- p + 2 - 2p + 8 ← collect like terms
= (- p - 2p) + (2 + 8)
= - 3p + 10
5
3
Which of the following has the same value as 7 - - 2-
6 6
Answer:
MY ANSWER IS 5 THANK YOU FOR QUESTION
Please help I will make you Brainliest (show working)
Answer:
id kkkkkkkkk
Step-by-step explanation:
how to do estimate 81=25+8x
Answer:
None
Step-by-step explanation:
It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0
An athlete of mass 60 kg running at a velocity of 10 m/s
Answer:600kgms-1
Step-by-step explanation:
mass *velocity
60*10 =600
The temperature dropped 4°C every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
Answer:
-24 degrees Celsius
Step-by-step explanation:
6 x -4 = -24
Answer:
24 degrees.
Step-by-step explanation:
6 * 4 = 24.
What is this answer?
Answer:
multiply
Step-by-step explanation:
just multiply all of them and then u will get your answer I hope this helped ❤
which of these numbers has both 2 and 5 as factors? A. 205 B. 502 C. 250 D. 202
Answer:
10=20. divisible by 2 (2,5 = 10) both of the factor are prime
Step-by-step explanation:
BIG BRAIN
Edward has a hot dog stand. Last week he spent $13 for hot dogs and
supplies. He earned $25. What was his profit? answer:
What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?
PLS SHOW WORK
Answer:
YOOOO I LOVE YOUR PROFILE PICTURE. SILENT VOICE IS SO SAD BUT SO GOOD <3 :D
what is the product of 1/2 × 2/3 × 3/4 × 4/5
Answer:
5/6
Step-by-step explanation:
brainly pls
Answer:
5/6
Step-by-step explanation:
make me brainliest please
Simplify
[tex] \frac{ {x}^{2} - 9 }{ {x}^{2} - 3x} [/tex]
CORRCET ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+RECEIVE 34 POINTS
Thanks xx
May I please receive help?
Answer:
what u will recieve
Step-by-step explanation:
please telle
PLEASE HELP ME IM BEGGING YOU
Answer:
look at the photo..................
Please help, i’m very confused. Thanks
Answer:
can't help sorry try chrome plz I hope it help you good
Factor the expression
Answer:
(2x+1)(x−2)(2x−5)
Step-by-step explanation:
(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)
4x3−16x2+11x+10
=(2x+1)(x−2)(2x−5)
Quadrilateral A’B’ C’ D ‘ is the result of reflecting quadrilateral ABCD across line l
Answer:
C
Step-by-step explanation:
что 900 умножить на 1000000
Answer:
900,000,000
Step-by-step explanation:
900×1,000,000
=900,000,000
Надеюсь, это помогло тебе, хорошего дня)
simplify (3 ^-2)^4
This would help so much, i have to finish this 200 point exam by tonight. THANK YOU IF YOU HELP
Answer:
Simplify the expression.
Exact Form:
1/6561
Decimal Form:
0.00015241
…
Step-by-step explanation:
1/6561
Answer:
1/6561
Step-by-step explanation:
(3^-2)^4
multiply the exponents:-8
3^-8
then make the 3 a fraction to remove the negative 1/3^8 then multiply 1/3, 8times so the answer is 1/6561
explain mathematically how you know 15y=18 and 5y=6 are equivalent
Answer:
15y + 18 and 5y = 6 are equivalent because when you divide 15y and 18 by 3
5y = 6 is what you get. When you multiply 5y and 6 by 3, 15y = 18 is what you get.
Which of these is a healthy coping strategy for stress?
A
Writing your thoughts in a journal
B
Not sharing your emotions with anyone
C
Stopping your exercise routine
D
Working very hard without breaks
Answer:
A
writing your thoughts in journal
Find the measure of the angles(S)
Please help
Answer:
10°
Step-by-step explanation:
the sum of interior angles of triangle is 180°
so. 8x+x+90°=180°
9x=90°
x=10°
which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?
Answer:
If one angle of a triangle is larger then another angle, then the side opposite then the larger angle is longer then the side oposite to the smaller angle
Step-by-step explanation:
Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
A) 20
B) 12
C) 14
D) 15
Answer:
a is the answer
Step-by-step explanation:
here
Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)
Answer:
66-3i
Step-by-step explanation:
(4-3i)-(9-71)
(4-3i)-(-62)
(4-3i)-62
66-3i
41/10 ÷ 7/10 please
The answer is
[tex]5\frac{6}{7}[/tex]
Answer:
5.857
or
5 6/7
Step-by-step explanation: both are the same just one in decimal and the other is in fraction form