Answer:
carltzy Poland in ngayon
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]
What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3 ? (1 point);
Answer:
pic is answer
Step-by-step explanation:
A 5-pound bag of dog food costs $11.25. What is the unit price of the dog food in dollars per pound?
Answer:
$2.25
Step-by-step explanation:
5 lbs = $11.25
The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:
$11.25 ÷ 5 = $2.25
Hope this helps!
Answer:
2.25 ($) per pound
Step-by-step explanation: 11.25 / 5 = 2.25 per pound Alternative workings we simply divide by 10 to find 11.25 / 10 = 1.125 then multiply by 2 1.125 * 2 = 2.25 ($) per pound
Can some one pls help me
Answer:
look at the picture i have sent
Given g(x)=-x+3g(x)=−x+3, find g(1)
Answer:
g(1) = 2
Step-by-step explanation:
g(x)=−x+3
g(1)=
Let x = 1
g(1) = -1+3 = 2
Find the radius of a circle to the nearest hundredth if its circumference is 25.5 yard
4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard
How do i solve this table?
man im sorry because its hard to explain
8TH GRADE MATH PLEASE HELP!!
Answer:
C.
Step-by-step explanation:
\sqrt{35} = 5.916079783
Its the Closest one
Answer:
C is the correct answer
[tex] \sqrt{35 } = 5.91 \\ [/tex]
what would be the answer to this problem [tex]\frac{7x-3}{9} \geq 8-2x[/tex]
Answer:
[tex]x\geq 3[/tex]
Step-by-step explanation:
Brent went for a bicycle ride. The clocks show his start time and his
end time. How long did Brent ride his bicycle?
Answer:
He rode his bicycle for 40minutes
Hope it helps:)
PLEASE HELP IT’S DUR TMR
Answer:
10+10+10
Step-by-step explanation:
H
13. Stretch Your Thinking Jenny and George combined their
allowances to buy the same present for each of their four
teachers. Jenny had $13.75. George had $2.26 less than
Jenny. How much did one present cost?
Answer: One present cost 6 dollars and 31 cents.
Step-by-step explanation:
Ok so first you subtract 2.26 from 13.75 to find out the total that George has.
That would be 11.49.
Next you add them together because they combine allowances.
So thats 25.24.
Next you divide this by 4 because they are buying the same present for their four teachers, therefore all will be the same price.
This would be 6.31
You leave the decimals because your talking about money.
Hopefully this helps. Have a wonderful day. :)
Marking me brainly really helps if you found my answer helpful!
10+10= hhihihhhiihihihih
Answer:
10+10=1010
Step-by-step explanation:
brainliest?
Answer:
20 lol
And hi!
1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?
[tex]\sf 15=2m-9[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of m is equal to :
[tex]12[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
➢ 15 = 2m - 9
➢ 15 + 9 = 2m
➢ 2m = 24
➢ m = 24 ÷ 2
➢ m = 12
[tex] \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }[/tex]
help a friend out?
Solve and graph the absolute value inequality: 12x +41 > 8.
Answer:
Answer is C
The inequality is x
<−6 or x>2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
| 2x + 4 | > 8
Case I Case II
2x + 4 > 8 -(2x +4) > 8
-4 -4 -2x - 4 > 8
2x > 4 +4 +4
x > 4/2 -2x > 12
x > 2 -x > 12/2
-x > 6
x < - 6 Multiply by -1 will change the inequality sign.
x > 2 and x< - 6
x > 2 open circle at 2 and shade to the right.
x < -6 open circle at -6 and shade to the left
Which of the following equation represents the graph?
Answer:
y= -3/5x -3
Step-by-step explanation:
-6 divided by 8? How do you turn it into a fraction problem?
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
just put the number on top and what divides it on the bottom
Expand each expression and simplify your answers as far as possible
1. 8x - 2(3 - 2x)
2. 4x + 5-3(2x - 4)
Answer:
1. 12x - 6
2. -2x + 17
Step-by-step explanation:
1.
8x - 2(3 - 2x)8x - (-2)(3) + (-2)(-2x) 8x + (-6) + 4x(8x + 4x) + (-6)12x - 62.
4x + 5 + (-3)(2x) + (-3)(-4) 4x + 5 - 6x + 12(4x - 6x) + (5 + 12)-2x + 17Answer:
[tex]\boxed{\sf 12x-6}[/tex]
[tex]\boxed{\sf -2x+17}[/tex]
Step-by-step explanation:
[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]
Apply Distributive Property to multiply -2 by (3-2x):
→ [tex]\sf 8x-6+4x[/tex]
Combine like terms:
→ [tex]\sf (8x+4x)[/tex]
[tex]\sf 12x[/tex][tex]\boxed{\sf 12x-6}[/tex]
______________________________
[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]
Apply Distributive property:
Multiply -3 by (2x-4):
[tex]\sf 4x+5-6x+12[/tex]
Combine like terms:
→[tex]\sf (4x+(-6x))[/tex]
[tex]\sf -2x[/tex]→ [tex]\sf (5+12)[/tex]
[tex]\sf 17[/tex][tex]\boxed{\sf -2x+17}[/tex]
_____________________________
Please help me solve this ASAP please!
(x + 9)/2 = 3x
Multiply both sides by 2 since the left is divided by 2.
x + 9 = 6x
9 = 5x
x = 9/5 or 1 4/5
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5x -1
............
classify the equation as having one solution no solution or infinite solution
4(9x+6)=36x-7 And the solution is x=
Answer:
[tex]\boxed{\bf {{No\:Solution}}}[/tex]
Step-by-step explanation:
[tex]\bf 4(9x+6)=36x-7[/tex]
Expand: Apply Distributive proprty:
[tex]\bf 36x+24=36x-7[/tex]
[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]
[tex]\bf 36x+24-24=36x-7-24[/tex]
[tex]\bf 36x=36x-31[/tex]
[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]
[tex]\bf 36x-36x=36x-31-36x[/tex]
[tex]\bf 0=-31[/tex]
Because the sides are not equal there is no Solution
A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
approximately how much will be taken off the regular price?
Answer:
$175.07 will be taken off
Step-by-step explanation:
287x61/100
17507/100
175.07
Someone help me with this I will make you brain
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
guys pls help me!!!!!!
Answer: 100
Step-by-step explanation:
A line equals 180 so subtract 180-80 to get your answer.
Please solve this law of indices question
and don't give studip ans
i will mark as brainlisted
Answer:
hope you understand .............
Shylan's vegetable garden is florishing. She has
20 plants in her garden which are broken into
equal rows. 1/5 of the rows are cucumbers and
40% of the rows are squash. 1/2 of the
remaining rows are tomatoes. How many
pepper plants does she have?
Answer: 90millionhajk
Step-by-step explanation:
In the diagram, a || band b || c. Find the values of a
12x + 610
106°
The values of u are and
Given:
∠
A
E
D
≅
∠
A
C
B
.
∠AED≅∠ACB.
Prove:
∠
A
B
C
≅
∠
A
D
E
∠ABC≅∠ADE.
The triangles have a common vertex angle, and a given pair of
corresponding and congruent angles, they are therefore similar triangles.
∠ABC ≅ ∠ADE (CASTC)Reasons:
The given parameters are;
∠AED ≅ ∠ACB
By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =
∠BAC in common.
Therefore, ∠DAE ≅ ∠BAC, by reflexive property.
Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in
ΔACB.
(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA
Angle-Angle similarity postulate, and by Corresponding Angles of Similar
Triangles are Congruent CASTC we have;
∠AED ≅ ∠ACB
∠DAE ≅ ∠BAC
∠ABC ≅ ∠ADELearn more here:
https://brainly.com/question/4638844
if i had 475 connolies and got left with 24 and i sold them for 2.50 how much money did i make.