Answer:
[tex]\frac{3^{n} }{3^{2(n-1)} }[/tex]
Step-by-step explanation:
3²⁻ⁿ is the simplification of 3ⁿ/9ⁿ⁻¹ in powers of 3.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3ⁿ/9ⁿ⁻¹
three power n divided by nine power n minus one.
To express to the power of 2, we have few properties of exponentials.
aˣ/aⁿ=aˣ⁻ⁿ
aˣ.aⁿ=aˣ⁺ⁿ
The given expression is
3ⁿ/9ⁿ⁻¹
3ⁿ/(3²)ⁿ⁻¹
3ⁿ/3²ⁿ⁻²
3ⁿ.3⁻²ⁿ⁺²
When bases are same then we will add the powers
3ⁿ⁻²ⁿ⁺²
3²⁻ⁿ
Hence 3²⁻ⁿ is the simplification of 3ⁿ/9ⁿ⁻¹ in powers of 3.
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HELP PLEASE. :) I NEED HELP
Answer:
I think it’s 80
Step-by-step explanation:
Because it’s the same side just a different angle if it makes sense
Write an exponential function for these two pair of given points: (2,4) (3,2).
Answer:
[tex]16*(\frac{1}{2})^x[/tex]
Step-by-step explanation:
our equation will look something like this
abˣ=y
We can write the two equations
4=ab²
and
2=ab³
we can divide the second equation by the first and get
[tex]\frac{2}{4}=\frac{ab^3}{ab^2}\\\\=.5=b\\[/tex]
Now that we know what b equals we can plug that value in and solve for a
[tex]4=a*.5^2\\\\a=16[/tex]
Solve the equation. Check your solutions.
|4b+4|=|2b+8|
Answer:
b = 2 or b = -2Explanation:
|4b + 4| = |2b + 8|
Solve absolute value
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 (Possibility 1)
4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)
2b + 4 = 8
2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)
2b = 4
2b / 2 = 4 / 2 (Divide both sides by 2)
b = 2
4b + 4 = −(2b + 8) (Possibility 2)
4b + 4 = −2b − 8 (Simplify both sides of the equation)
4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)
6b + 4 = −8
6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)
6b = −12
6b / 6 = -12 / 6 (Divide both sides by 6)
b = -2
b = 2 or b = -2In a right angled triangke abc the perpendicular and the base measure 3 cm find hypotenus and three trignometrice ratios
Given:
In a right angled triangle ABC the perpendicular and the base measure 3 cm.
To find:
The hypotenuse and three trigonometric ratios.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Use Pythagoras theorem in triangle ABC.
[tex]Hypotenuse^2=(3)^2+(3)^2[/tex]
[tex]Hypotenuse^2=9+9[/tex]
[tex]Hypotenuse=\sqrt{18}[/tex]
[tex]Hypotenuse=3\sqrt{2}[/tex]
The three trigonometric ratios are
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin \theta=\dfrac{3}{3\sqrt{2}}[/tex]
[tex]\sin \theta=\dfrac{1}{\sqrt{2}}[/tex]
Similarly,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos \theta=\dfrac{3}{3\sqrt{2}}[/tex]
[tex]\cos \theta=\dfrac{1}{\sqrt{2}}[/tex]
And,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan \theta=\dfrac{3}{3}[/tex]
[tex]\tan \theta=1[/tex]
Therefore, the hypotenuse is [tex]3\sqrt{2}[/tex] cm and three trigonometric ratios are [tex]\sin \theta=\dfrac{1}{\sqrt{2}}, \cos \theta=\dfrac{1}{\sqrt{2}}, \tan \theta=1[/tex].
Which of the following expressions has a value that is greater than -1? Select all that apply.
A) -6 + 6
B) -8 - (-11)
C) 9 + (-7)
D) -3 – 5
E) -8 + (-2)
Answer:
A. -6+6=0 0>-1
C. 9+(-7)=2 2>-1
9) A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?
Answer:
If the rope is 20 ft long, then the maximum area the cow can graze is:
[tex]\pi \\[/tex]r^2 square feet.
[tex]\pi[/tex] is approximately 3.14, so that means we have: 3.14(20^2) = 1256 ft squared.
Thus, the maximum area that the cow can graze is 1256 ft squared.
Let me know if this helps!
The cow's maximum grazing area is 1256 ft squared. The grazing area is found as the area of the circle.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
If the rope is 20 feet long, the cow can graze the following area:
A=πr²
A=3.14(20)²
A=1256 ft squared.
As a result, the cow's maximum grazing area is 1256 ft squared.
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solve the inverse for k
2(k-12)-5(k+2)<-9k+4k
What is the y-intercept of function g if g(x) = -4f(x) + 12?
OA. (0,-4)
OB. (0,12)
OC. (0,8)
OD. (0,1)
Answer:
the correct answer is C (0,8)
Step-by-step explanation:
got 100%
Answer: C (0,8)
Step-by-step explanation: correct on test
Answer fasttt plsssssss
Answer:
25ax25b= 625
Find the nth term of the sequence
0, 5, 14, 27, 44......
Answer:
aₙ = 2*n*n - n -1
Step-by-step explanation:
a₁ = 0
a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5
a₃ = 2*3*3 -3-1 = 18-4 =14
a₄ = 2*4*4 - 4-1 = 32-5 =27
......
aₙ = 2*n*n - n -1
Mary found a pair of boots that cost $60. Sales tax is 7%. What is the total price Mary will pay for the boots?
Answer: $64.20
Step-by-step explanation:
Cost of shoe = $60
Sales tax rate = 7%
Sale tax = 7% × $60 = 7/100 × 60 = $4.20
The total price paid by Mary
= Cost of shoe + Sales tax
= $60 + $4.20
= $64.20
Holly has a hard drive that she uses to store her digital music . The hard drive has 500-megabyte total storage capacity, but only 7/10 of the hard drives capacity is free. What amount of hard drive in the megabytes had Holly used to store her digital music? A. 200 megabytes
B. 350 megabytes
C. 150 megabytes
D. Not here
please help guys i’ll be giving points and BRAINLIEST. thank you so much love y’all!!
Answer: Your answer would be B
350 megabytes
Step-by-step explanation:
500 divided by 10 = 50.
50 x 7 = 350
Hope this helps ^w^
Emerson struck out 122 times in 350 at bats. What is his percentage of strike outs?
Answer:
Around 35%
Step-by-step explanation:
122/350 = 0.35
Answer:
32%
Step-by-step explanation:
We are told out of 350 times, he stuck out 122 times. As a fraction, we can say he struck out 122/350 times.
As a fraction, we can easily convert this to a decimal by dividing the numerator (top number) by the denominator (bottom number).
So, 122/350 = 0.32.
Now, we can easily convert this to a percentage by multiplying by 100.
0.32 x 100 = 32%
I also need help on this
Find the missing angle
the missing anigal i a 82 degrez trangal
help please. 10 points to who help me
9514 1404 393
Answer:
64/109 ≈ 0.5872
Step-by-step explanation:
41 + 23 = 64 of the events have outcome E.
An additional 35 + 10 = 45 do not.
The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.
P(E) = 64/109 ≈ 0.5872
Systems of equation graph helppppp
Answer:
(1,4)
Step-by-step explanation:
Your solution to the system of equations is where the two lines intersect.
On this problem, it is the point (1, 4)
4/11+2/5 give your answer in its simplisest form
Answer:
here..
Step-by-step explanation:
42/55
Mrs Jones wants to paint a wall but not the door on the wall How many square feet of wall does Mrs. Jones need to paint? 15ft 10ft 3ft 7ft
Answer:
B)cevap B olmalı.....,,,
Hey, what is 197 x 2245?
Answer:
442265
Step-by-step explanation:
Answer:
yall could have not left me you know
Step-by-step explanation:
i mean at least you could have said bye but you didn't i still havn't found friends half as good as yall
Find the length of ST
Answer:
85 lol
Step-by-step explanation:
27+58=85
What is it?
??????????????????????
Answer:
c) 95 feet
Step-by-step explanation:
perimeter = πd
3.14*18=56.52 in
20 revolutions =56.52*20=1130 in =95 feet
PLEASE HELP ME I WILL GIVE BRAINLIEST!
Find the length of BD for square ABCD.
B
23
A
D
The length of BD is a
(Type an integer or decimal rounded to one decimal place as needed.)
Answer:
BD = 32.5
Step-by-step explanation:
Since this is a square, the length of all the sides are equal. So line AB = BC = CD = DA = 23
Additionally, all the interior angles are the same (90°)
To find the length of BD, you can cut the square in half diagonally to form two right angled triangles, ABD and BCD.
For either one, BD is the hypotenuse of the right angled triangle so we can use Pythagoras' theorem to solve for the that (since we also know the legnth of the sides)
a = 23
b = 23
c = BD, which we have to find
[tex]a^{2} +b^{2} =c^{2} \\23^{2} +23^{2} =c^{2} \\\sqrt{23^{2} +23^{2} } = c\\\sqrt{529+529} =c\\\sqrt{1058} = c\\32.5 = c[/tex]
therefore the length of BD is 32.5
hope this helps!
Isaac was standing by an apple tree. He noticed that the shadow of the tree measured 270 inches in
length and his shadow measured 111 inches in length. If Isaac is 74 inches tall, how tall is the apple
tree?
270 in
74 in
111 in
180
An online video streaming service offers two plans for unlimited streaming.
Plan A has a one-time $25 membership fee and is $8 per month.
Plan B has a $12 membership fee and is $5 per month.
Write the system of equations!
Answer:
b
Step-by-step explanation:
Plz answer fast they need to be ordered 1 through 5
The scale factor from drawing 1 to drawing 2 is ___ %
Please help! Fill in the blank
I will give brainliest
Answer:
ghggyffxvbvucfyiyiyxozhlhzguvufcbi8
y = mx + b is a slope intercept form of a line. Rewrite the formula in terms of x.
Answer:
(y-b)/m = x
Step-by-step explanation:
We need to isolate X!
y = mx + b
minus b
y-b=mx
divide by m
(y-b)/m = x
Hope this helps!
Answer:
x = ʸ ⁻ ᵇ⁄ₘExplanation:
y = mx + b
Switch Sidesmx + b = y
Subtract 'b' From Both Sidesmx + b - b = y - b
Simplifymx = y - b
Divide Both Sides By 'm'ᵐˣ⁄ₘ = ʸ⁄ₘ - ᵇ⁄ₘ
Simplify
x = ʸ ⁻ ᵇ⁄ₘ- PNW
How do you solve for x ?
please dont respond just for points
Answer:
X is 110cm
Step-by-step explanation:
35degrees plus 90degrees equals 125degrees
So 125-15=110cm
Please answer the 2 question.
Will be marked
Answer:
1. 12.6 2. 21.4
Step-by-step explanation:
1. c=2piR, so if the radius is 2, then 2 times 2 then times 3.14= 12.6(rounding to the nearest tenth)
2.i already explained the formula, so it should be 3.4*2 then times 3.14= 21.4
x/4 = 2
what is the answer to x?
Answer:
8/4=2
Step-by-step explanation:
4x2=8