Hey there!
3^15/ 3^3
3^15
= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9*9*3
= 81*81*81*27
= 6,561 * 2,187
= 14,348,907
= 14,348,907/3^3
3^3
= 3*3*3
= 9*3
= 27
14,348,907/27
= 531,441
15 - 3 = 12
= 3^12
Because
3^12
= 3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9
= 81*81*81
= 6,561*81
= 531,441
531,441 ≈ 3^12
Therefore, your answer should be: 3^12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
1.
How fast is the area of a square increasing when
the side is 3 m in length and growing at a rate of
0.8 m/min?
A. 4.8 m2 /min
B. 1.875 m²/min
C. 3.25 m2 /min
D. 5.5 m² /min
Using implicit differentiation, it is found that the area of the square is increasing at a rate of:
A. 4.8 m²/minThe area of a square of side length l is given by:
[tex]A = l^2[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dA}{dt} = 2l\frac{dl}{dt}[/tex]
The side is 3 m in length, hence [tex]l = 3[/tex].Growing at a rate of 0.8 m/min, hence [tex]\frac{dl}{dt} = 0.8[/tex]Then:
[tex]\frac{dA}{dt} = 2l\frac{dl}{dt} = 2(3)(0.8) = 4.8[/tex]
Hence, option A is correct.
To learn more about implicit differentiation, you can take a look at https://brainly.com/question/25608353
2. Given < MCP = 65°, find the measurement of arc MP , arc MRP and < MRP.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
We know that the Angle subtended by an arc on centre of the circle is double as that of Angle subtended by the same arc on the circumference (boundary) of the circle
So,
[tex] \sf \angle MCP = 2\angle MRP[/tex][tex] \sf65 \degree = 2 \angle MRP[/tex][tex] \sf\angle MRP = 65 \degree \div 2[/tex][tex] \sf\angle MRP = 32.5 \degree[/tex]Answer:
arc MP = 65°arc MRP = 295°angle MRP = 32.5°Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends.
arc MP = ∠MCP = 65°
Long arc MRP is the difference between arc MP and the full circle:
arc MRP = 360° -65° = 295°
Inscribed angle MRP is half the measure of the arc it subtends:
∠MRP = (arc MP)/2 = 65°/2 = 32.5°
Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5
meters and an area of 6 square meters. Which equation and solution correctly represent
2, the length, in meters, of the rectangular garden bed?
Help
Answer:
4
Step-by-step explanation:
6 divided by x equals the width 1.5
or
x times 1.5 equals the area 6
then divide the 6 by 1.5 equals 4
I Hope I Helped YOU :)
Find the circumference of a circle with a radius of 3/4 km
Answer:
3/2pi or 0.47746
Step-by-step explanation:
The ormula for circumference is:
Circumference = 2*pi*radius
Then substitute radius = 3/4km
Circumfrence = 2*pi*(3/4)km = 3/2pi or 0.47746
3/2-5/6-2/9
Answer please
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation: its just the answer lol
True or false 9x10^-5 is 0.01 times as much as 9x10^-3
Answer: The answer to this question is true.
Given that x=2, y=5 and z=3 evaluate the value of x-2y
Answer:So firstly, plug in the numbers into the expression:
Next, solve the exponents:
Next, solve the multiplications:
Lastly, combine everything, and your answer will be -23.
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
By substituting the given numeric values for x,y and z into the expression.
That is
(3)3−2(5)2−3(3)3+(−3)4
------------------------------------------------
I'll evaluate each term separately.
(3)3=3×3×3=9×3=27
2(5)2=2×(5×5)=2×25=50
3(3)3=3×(3×3×3)=3×27=81
(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81
-------------------------------------------------
Replace these values back into the expression , noting the values which are subtracted.
⇒27−50−81+81=27−50=−23
PLEASE HELP FAST
WILL MARK BRAINLIST
Answer:
1, (c) 2,(c) 3,(a)
Step-by-step explanation:
1, f (x) = 2-x and f(2) = 2-2
for example f(-4) = 2-(-2) = 0
=4
3, 120° - 60° = 60
Which of the functions below could have created this graph? O A. F(x) = - x ^ 0 + x ^ 3 - x ^ 2 O B. F(x) = - x ^ 2 + 4x ^ 3 - 2x ^ 2 C. F(x) = x ^ 9 + 12x ^ 8 + x ^ 7 D. F(x) = x ^ 2 + 4x ^ 4 + 20x ^ 2
Answer:
B
Step-by-step explanation:
even roots bounce at (0,0)
negative leading coefficient: initial graph descending to right, curve up
4 local extremes means remaining 5 degree of the function
The function F(x) = - x⁷ + 4x³ - 2x² could have created the given graph. which is the correct answer would be an option (B).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To create a graph of the function F(x) = - x⁷ + 4x³ - 2x², you can follow these steps:
Choose a range of x-values to use for the graph. For example, you might choose x = -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2.
Substitute each x-value into the function to find the corresponding y-value. For example, if x = -1, then y = F(-1) = - (-1)⁷ + 4(-1)³ - 2(-1)² = -1 + 4 + 2 = 5.
Plot the points (x, y) on a coordinate plane. For example, you would plot the point (-1, 5) on the coordinate plane.
Connect the points with a smooth curve to create the graph of the function.
Therefore, we can conclude that function F(x) = - x⁷ + 4x³ - 2x² could have created the given graph.
Learn more about the graphs here:
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can someone help me with this
if your brother has saved $60 to spend on basketball cards
Answer:
Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!
I need to know how to get the roots for example what is the root of 2 root 5
Answer:
Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25
Step-by-step explanation:
The value of the root of 2√5 is approximately 2.116.
Here, we have,
To find the root of a number, you can use the concept of radicals.
The "root" refers to the inverse operation of raising a number to a power. For example, the square root (√) is the most common root, and it represents finding a number that, when squared, gives the original number.
To find the root of a number, such as the square root (√), you can use the following notation:
√(2 * √(5))
In this case, we have the square root of (2 times the square root of 5).
To simplify this expression further, we can break it down step by step:
Step 1: Simplify the square root of 5:
√(5) = 2.236 (approximately)
Step 2: Substitute the simplified value back into the original expression:
√(2 * 2.236)
Step 3: Simplify the expression:
√(4.472) = 2.116 (approximately)
Therefore, the root of 2√5 is approximately 2.116.
To learn more on square root click:
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Identify the error and fix the mistake
Answer:
x = (9 ±√201) ÷ 12
Step-by-step explanation:
6x² -5x -9 = 0 ( rearranged)
a = 6 b = -5 c = -9
- - 9 = 9
-9² = 81 (the 81 must be positive, this is one error)
-4 x 6 x -5 = 120 ( the 5 must be a minus number, this is one error)
120 + 81 = 201
x = (9 ±√201) ÷ 12
Which graph shows a negative acceleration?
Answer:
Second Graph.
Explanation:
It's the only graph that is concave down and the slope is decreasing.
Thad attempted 25 free throws and made 17 of them while Amy attempted 30 and made 20. Who shot the higher percentage?
Answer: Thad-1.471
Amy-1.500
SO AMY SHOT WITH A HIGHER PERCENTAGE
Step-by-step explanation: brainliest would be appreciated
Use a model to solve seven multiplied by three fifths. Leave your answer as an improper fraction.
Question 2 options:
twenty one thirty fifths
twenty one fifths
four fifths
ten fifths
Answer:
1 a is your answer
Step-by-step explanation:
mark brainlest pls and i hope this helps
Combine the like terms in each expression to find the matching simplified expression.
y + x - 2 - 6x ——> |_| X-1
5xy + 4x - 5xy = 3x —> |_|y - 5x – 2
2x +3 -x-4 ——> |_| X
Answer:y + x -6x (y -5x -2)
5x + 4x -3x (x)
2x + 3 - x -4 (x - 1)
Step-by-step explanation:
A=C
B=B
C=A
I need help bro please I love you
Answer:
The first one ( y<-8 or y>4 )
Step-by-step explanation:
Answer:
y< -8 or y > 4
Step-by-step explanation:
Interval Notation:
(-∞,-8)∪(4,∞)
Allison buys some cloud storage for her files. On average, she adds files that take up 2 megabytes each day. After 64 days, she has 96 megabytes of memory remaining in the cloud.
Determine the equation, in slope-intercept form, of the line that represents the amount of memory remaining after xecks days.
Answer:
the answer is 224, if it is asking for the amount of megabytes she bought
Step-by-step explanation:
If she adds 2 megabytes each day, and after 64 days she only has 96 megabytes then
64 times 2 = 128
128 + 96 = 224
so 224 = the amount of megabytes she bought
Which expression can be used to find the surface area of the following triangular prism?
5
5
2.
11
8.
Answer:
214.
Step-by-step explanation:
To get Surface area take
(cross section area) × 2 +(perimeter of crossection area × length)
the cross section area is a triangle
so area of a triangle =1/2 base times height
1/2×8×2=8
let's get perimeter of cross section
the cross section is still at triangle so let's find its perimeter.
5+5+8=18
18×length of which is 11
18×11=198
and 188 + 16=214. that's the answer
maybe you can get a expression from the work that I've just done cuz I can't see the answers clearly in the picture you have taken.if you don't mind just send the picture back then I'll get the answer.
Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. How many feet tall must the slio be? Use 3.14 for Pi.
Answer:
15.03m
Step-by-step explanation:
h=V/πr2
h=1700/π·62
h≈15.0313
Hope that helps
The surface of an office desk has a perimeter of 12 feet and an area of 8 square feet. What are the dimensions of the desk?
____feet by ___feet
HELP ME PLEASEE!
Answer:
4 feet by 2 feet ig? am not quit sure
Step-by-step explanation:
we say that length=x width=y
2(x+y)=12
xy=8 x=8/y
2(8/y + y)=12
8/y+y^2=6y
y^2-6y+8=0
(y-2)(y-4), so y=2 y=4
then we input this two numbers in xy=8
so, x=4 x=2
1, y=2 x=4
2, y=4 x=2
most likely the lengths is going to be 4 so that means the width is going to be 2.
9/4 divided 5/8
I don’t know help me
Answer:
9/4 divided 5/8 = 3.6 (Ans)
Answer
9/4 ÷ 5/8 = 3.6
i hope it will help you
PLEASE HELP 60 POINTS
if l || m, find the value of x
Answer:
x = 15
Step-by-step explanation:
84 = 5x + 9
Subtract 9
75 = 5x
Divide by 5
x = 15
Answer:
x = 15
Step-by-step explanation:
5x + 9 and 84 are alternate angles and are congruent , so
5x + 9 = 84 ( subtract 9 from both sides )
5x = 75 ( divide both sides by 5 )
x = 15
What is the radius of a circle whose equation is x2 y2â’10x 6y 18=0? 2 units 4 units 8 units 16 units.
The radius of the circle is 4 units.
Given to us:
[tex]x^2 + y^2 - 10x + 6y + 18 = 0[/tex]
The generalized format for radius of a circle is given by:
[tex]\\(x - h)^2 + (x - k)^2 = a^2\\where,\\h, k= coordinate\ of\ the\ center\ of\ the\ circle\\a= radius\ of\ the\ circle[/tex]
therefore after rearrangement of the equation we get,
[tex]x^2 + y^2 - 10x + 6y + 18 = 0,\\x^2 - 10x + y^2 + 6y =- 18,\\[/tex]
adding 25 and 9 on both the sides to bring it in the generalized format for radius of a circle,we get
[tex]x^2 - 10x+25 + y^2+ 6y+9 =-18+25+9,\\[/tex]
[tex](x - 5)^2 + (y + 3)^2 = 16\\(x - 5)^2 + (y + 3)^2 = 4^2\\[/tex]
Hence, the coordinate for this circle are x=5 and y=-3. And the radius of the circle is 4 units.
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evaluate f(x) = 5(x-4) when x=10
Answer:
Value of [tex]f(10)=30[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 5(x-4)[/tex]
We need to find [tex]f(10)[/tex]
[tex]f(10) = 5(10-4)\\\\=5\cdot6\\\\=30[/tex]
1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft
The value of y varies directly with x. If x = 8, then y = 96. What is the value of x when y = 168?
Answer:
x = 14Step-by-step explanation:
Direct variation equation:
y = kx, where k is constant of variationGiven:
96 = 8kk = 96/8k = 12The equation is:
y = 12xFind the value of x when y = 168:
168 = 12xx = 168/12x = 14select the number that is a multiple of two a 31 b 57 c 85 d 98
Answer:
98
Step-by-step explanation:
option d..............
If a person tells you she is 6 feet tall, is she basing that measurement on customary units or metric units?
Answer:
Customary
Step-by-step explanation:
Answer:
it is based on customary units