length is 84
c 35 is hypotenuse
equals 120 neareast tenth
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Correct answer please
[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]
If everything in a store is 20% off, and the discounted price of an item is $18.00, what is the regular price?
Answer:
If the REGULAR price of the t-shirt is $18, the SALE price with a 20% discount is $14.40. Hope this helps!
Step-by-step explanation:
A water tank has the shape of a horizontal cylinder with radius 1 meter and length 2 meters. If water is being pumped into the tank at a rate of 5 I cubic meters per minute, find the rate at which the water level is rising when the water is 5 C meters deep. Simplify your answer completely.
Step-by-step explanation:
The answer is dhdt=325πmmin.
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
V=πr2h
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
V=π(5m)2h
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
dVdt=(25m2)πdhdt
In the problem, we are given 3m3min which is dVdt. So we substitute this in:
dhdt=3m3min(25m2)π=325πmmin
Pablo's family began their trip with a full tank of gas in their car. They drove 384.1 miles and
stopped to fill their tank back up with gas. It took 14.2 gallons of gas to fill up their tank.
About how many miles per gallon of gasoline did they average on their trip?
Work Shown:
(384.1 miles)/(14.2 gallons) = (384.1)/(14.2) mpg = 27.049 mpg approximately
mpg = miles per gallon
Answer:
27.05 miles per gallon
Step-by-step explanation:
384.1 miles = 14.2 gallons
x = 1 gallon
14.2x = 384.1
x = 384.1/14.2
= 27.0492958
≈ 27.05 miles per gallon
Hope this helps and be sure to have a wonderful time at Brainly! :D
A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.
Which function can be used to find t, the total number of gallons of water in the tank after w weeks?
F t = 15w - 275
G t = -15w + 275
H t = 275w - 15
J t = -275w + 15
Answer:
I would think its C
Step-by-step explanation:
Since you are subtracting 15 from 275, it would be 275-15
i am assuming you dont need any help on the variables, so I hope this helps :)
If i am wrong, please let me know :DD
have a nice day, *insert preferred referral here*!!
The function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is G(t) = 275 - 15w and this can be determined by using the given data.
Given :
A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.The following steps can be used in order to determine the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks:
Step 1 - Let the total number of weeks be 'w'.
Step 2 - So, the total amount of water reduced from the tank is:
= 15w
Step 3 - So, the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is given below:
G(t) = 275 - 15w
Therefore, the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/25834626
please hehlp!!!!!!!!!!!!!!!!!!!!!
1. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE
a=5.4,b=9.2
2.Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
b=7.7 ,c=15.3
3. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
a=4,c=7.2
4. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
a=6.5, b=14.7
5. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
b=8.2 , c=15.6
Answer:
I think its number 4
Step-by-step explanation:
but im not sure
Step-by-step explanation:
here is your answer hope you will enjoy
please mark me as a brainlist
thank you
How would you describe the graph for the equation |x|=1
Answer:
it would just be a DOT at positive one on a graph
Hel me please!
Find two points from this graph.
Answer:
-4,-8 : 8,8
Step-by-step explanation:
Plz help ,me thx you
Answer:
i think it is a or c
Step-by-step explanation:
Find the y-coordinate of the vertex point of y = -4(x - 4)(x + 17
(hope this helps) :)
Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is
.
Answer:
The length of Due to the accuracy of the tape measure Avani used, the play area is 7.5 meters. The width of the play area is the amount of foam needed to cover the play area is 5.3 meters.
Step-by-step explanation:
Answer:
39.8
Step-by-step explanation:
edge 2022
f) create a residual plot for your data.
g) does your residual plot show that the linear model from the regression calculator is a good model?
h) using your equation estimate the gpa of a student who studies for 15 hours a week.
PLSSSSS NEED HELP
Answer: Consider the plot created from the residuals of a line of best fit for a set of data. Does the residual plot show that the line of best fit is appropriate for the data? Yes, the points have no pattern.
Step-by-step explanation:
8x divided by 13x
how do you do this plis give answer
Answer:
8/13
Step-by-step explanation:
8x
------
13x
The x in the numerator and denominator cancel
8/13
Bryan is 122 pages into his adventure novel, and he can't wait to finish it tonight. Luckily, he reads quickly, 45 pages per hour. If Bryan reads for 4 hours tonight, how many pages will he have read in all?
Answer: 302
Step-by-step explanation:
45 pages per hour X 4 hours = 180 pages in total
180 + 122 = 302
so 302 pages in total
'please can i have brainliest? i need it for my goal'
Plz help
A)40
B)30
C)24
Answer:
I think its 30 hope this helps and sorry if I get it wrong
Answer:
B) 30
Ok now that you have the answer......
If you have me, you want to share me.
If you share me, you no longer have me.
WHAT AM I???????
(x-y)(x-2y)+7x-10y+3
factorise the following, with steps
Answer:
Step-by-step explanation:
1) Sum = - 9
Product = -36
Factors = -12 , 3 {-12 + 3 = -9 & -12*3 = -36}
3a² - 9a - 12 = 3a² + 3a - 12a - 12
=3a(a + 1) - 12(a + 1)
= (a + 1) (3a - 12)
2) 4a² + 38a - 20 = 4a² + 40a - 2a - 20
=4a(a + 10) - 2(a + 10)
=(a + 10)(4a - 2)
3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9
= 11a(a + 3) - 3(a + 3)
=(a + 3)(11a - 3)
Multiply out and simplify:
(x-8) (x-7)
To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:
(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)
= x² - 7x - 8x + 56
= x² - 15x + 56
Answer: x^2-15x+56
Step-by-step explanation:
1-Distribute
x(x-7)-8(x-7)
2-Distribute
x^2-7x-8(x-7)
3-Distribute
x^2-7x-8x+56
4-Combine like terms
x^2-15x+56
Mateo jogs for 3 3/4 miles on Saturday and 4 2/5 miles on Sunday. What is the total distance, in miles, that Mateo jogged in the past 2 days?
Answer:
Mateo jogged 8 3/20 miles in the past 2 days.
Step-by-step explanation:
Given:-
Distance on Saturday = 3 3/4
Distance on Sunday = 4 2/5
Total distance = 3 3/4 + 4 2/5
= 15/4 + 22/5
= LCM of deniminators (20)
= 75/20 + 88/20
= (75 + 88)/20
= 163/20
= 8 3/20
Answer:8+ (3/20)
Step-by-step explanation: We will assume that "today" is a Monday.
3+(3/4) + 4+(2/5)
7 + (3/4) + (2/5)
7 + (3/4)*(5/5) + (2/5)*(4/4)
7 + (15/20) + (8/20)
7 + (23/20)
8+ (3/20)
show work
please! this is due tmr
Answer:
-120
Step-by-step explanation:
subtract 45 to both sides
m/8 = -15
multiply by 8 on both sides.
with the fraction just multiply by the bottom number to make m by itself.
m = -15*8
m= -120
Answer:
-120
Step-by-step explanation:
30-45= -15
-15×8= -120
Answer the following questions.
Questions
What is an amount between $2 and $10? (A) ____8______
What is an amount between $10 and $20? (B) ________10__
What is an amount greater than $50? (C) _____55_____
What is your name? (D) ___mikiaa____________
What is the name of an item that you will buy only once? (E) _____fish eggs____________
What is the name of an item that you will buy more than once? (F) ______snacks___________
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
The question is an illustration of inequalities and mathematical operations
The amount between $2 and $10 is $8
The amount between $10 and $20 is $10
$100 is greater than $50
(a) Amount between $2 and $10.
The amount is calculated as:
Hence, the amount between $2 and $10 is $8
(b) Amount between $10 and $20.
The amount is calculated as:
Hence, the amount between $10 and $20 is $10
(c) Amount greater than $50.
An amount greater than $50 is an amount that have an higher value.
Take for instance: $100
$100 is greater than $50, because it has a higher value.
There is no enough information to solve the other questions
Read more about inequalities and mathematical operations at:
brainly.com/question/19003099
Find all rational zeros of the given polynomial function.
f(x) = x^3 + 8x^2 + 5x – 14
Answer:
x = 1, -2, -7
Step-by-step explanation:
Just factor, you got this!
Fill in the blanks W Two numbers that when multiplied together gives 6 and when added together gives -7 are: and
Answer:
-1 and -6.
Step-by-step explanation:
-1 and -6
-1*-6 = 6
-1 + (-6) = -1-6= -7.
Find the products in simplest form.
8 5
21 16
23. 15 =
RETRY
Answer:
part A[tex] \frac{8}{21} . \: \frac{5}{16} \\ \\ \frac{5}{42} \\ \\ 0.119[/tex]
part B
[tex] \frac{12}{25} . \: \frac{15}{16} \\ \\ \frac{9}{20} \\ \\ 0.45[/tex]
Answer:
8/21 . 5/16 = 5/42
12/25 . 15/16 = 9/20
Step-by-step explanation:
16 = 2 x 8
8/21 . 5/16
= ( 8 x 5 ) / ( 21 x 16 )
= ( 8 x 5 ) / ( 21 x 2 x 8 )
= 5 / ( 21 x 2 )
= 5/42
12 = 3 x 4
15 = 3 x 5
25 = 5 x 5
16 = 4 x 4
12/25 . 15/16
= ( 3 x 4 ) / ( 5 x 5 ) . ( 3 x 5 ) / ( 4 x 4 )
= ( 3 x 4 x 3 x 5 ) / ( 5 x 5 x 4 x 4 )
= ( 3 x 3 ) / ( 5 x 4 )
= 9/20
Need this answer for this
Answer:
the point (0,6) is the point that is 1/6 of the way
What letter comes after f
Answer:
g.....
Step-by-step explanation:
g.....
the letter is g
The letter g comes after the letter f.
What are Alphabets?An alphabet is a set of graphs or characters used to represent the phonemic structure of a language
The english alphabets are a, b, , c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u , v, w, x, y and z.
The alphabets help to form the basis of our language and communication for a lifetime.
There are twenty six letters in the english alphabets.
As we see the order of alphabets.
The letter g is next to the letter f.
They help to form the basis of our language and communication for a lifetime.
Hence, the letter g comes after the letter f.
To learn more on Alphabets click:
https://brainly.com/question/20261759
#SPJ2
Do you set the legs of an isosceles triangle equal to each other when given one leg and the other is an equation?
Answer:
Yes
Step-by-step explanation:
Both legs of an isosceles triangle are congruent so they can be made to say that one leg=the equation of the other leg.
GHD989 guys please you this code for guathmath thank you .
I will do that soon okay I will
A.RIGHT
B.ACUTE
C.EQUIANGULAR
D.OBTUSE
I PROMISE BRAINIEST IF YOU HELP ME
Answer:
The associative property
Step-by-step explanation:
:/ wait its u again lol