Answer:
r=6
Step-by-step explanation:
Proportions
We know M is directly proportional to [tex]r^3[/tex]
This can be written as
[tex]M=kr^3[/tex]
Where k is the constant of proportionality which will be determined knowing that when r = 4, M= 160. Substituting in the equation above:
[tex]160=k\cdot 4^3[/tex]
[tex]160=k\cdot 64[/tex]
Solving for k:
[tex]k=\frac{160}{64}=2.5[/tex]
The equation is:
[tex]M=2.5\cdot r^3[/tex]
Now find r when M=540:
[tex]540=2.5\cdot r^3[/tex]
Dividing by 2.5:
[tex]216=r^3[/tex]
Taking cube roots:
[tex]r=\sqrt[3]{216}[/tex]
r=6
90 ft/h = ____ mi/min
If you mean hours, and Minutes that is 1 hour and 30 minutes.. s a fraction that is 1 1/2. Or 90/60
what is -25 + - 14 + 3
Answer:
- 36
Step-by-step explanation:
-25 - 14 + 3 Notice that +-14 reduces down to - 14. The answer becomes -39 + 3 = - 36
k) 12y + 15 + y – 3 6y – 9 = y
alguien me puede ayudar por favor?:(
13y+12,6y−9=y
2 Switch sides.
y=13y+12,6y-9y=13y+12,6y−9
3 Break down the problem into these 2 equations.
y=13y+12y=13y+12
y=6y-9y=6y−9
4 Solve the 1st equation: y=13y+12y=13y+12.
y=-1y=−1
5 Solve the 2nd equation: y=6y-9y=6y−9.
y=\frac{9}{5}y=
5
9
6 Collect all solutions.
y=-1,\frac{9}{5}y=−1,
5
9
Step-by-step explanation:
i dont know what u said so i solved for y
Answer:
y = 1/4
Step-by-step explanation:
Yo no comprehendo espanol mucho, but I'll try
12y + 15 + y - 36y - 9 = y
Rearrange
12y + y (-y) + 15 (-15) - 36y - 9 (+9)= y (-y) (-15) (+9)
12y - 36y = - 15 + 9
-24y = - 6
Divide both sides by - 24 (Take note of the signs (+) (-))
-24y/-24 = - 6/-24
y= 1/4
2x + y + 3z = 19
3x + 2y + 3z = 19
X + 4y + 2z = 9
What is the value of x?
Answer:
4.5
2.5
4
Step-by-step explanation:
(someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
a) what numbers are represented by the above graph
Answer: what graoh?
Step-by-step explanation:
Can you guys help me please
Answer:
5 hours
Step-by-step explanation:
Equation for Company A: 10+5x
Equation for Company B: 7x
10+5x=7x
5=x
Find the measure of the angle indicated
Answer:
Where's the angle?
Step-by-step explanation:
Answer:
there is no pic...
Step-by-step explanation:
Please find the derivative of [tex]\displaystyle \frac{e^{\frac{3}{x}}}{x^2}[/tex]. Show all work necessary - thanks!
Hello! :)
[tex]\large\boxed{\frac{-e^{\frac{3}{x}} (3 + 2x )}{x^{4}}}[/tex]
Find the derivative using the quotient rule:
[tex]\frac{f(x)}{g(x)} = \frac{g(x) * f'(x) - f(x) * g'(x)}{(g(x))^{2}}[/tex]
In this instance:
[tex]f(x) = e^{\frac{3}{x} }\\\\g(x) = x^{2}[/tex]
Use the following properties to find the derivative of f(x) and g(x):
[tex]e^{u} = u' * e^{u}\\\\x^{n} = nx^{n-1}[/tex]
Use the quotient rule:
[tex]\frac{x^{2} * (e^{\frac{3}{x}} * (-3x^{-2})) - e^{\frac{3}{x}} * 2x }{(x^{2} )^{2}}[/tex]
Simplify the numerator:
[tex]\frac{(e^{\frac{3}{x}} * (-3)) - e^{\frac{3}{x}} * 2x }{(x^{2} )^{2}}[/tex]
Factor out [tex]e^{\frac{3}{x}}[/tex]
[tex]\frac{e^{\frac{3}{x}} (-3 - 2x )}{x^{4}}[/tex]
Factor out -1 from the numerator:
[tex]\frac{-e^{\frac{3}{x}} (3 + 2x )}{x^{4}}[/tex]
And we're done! Thanks for posting the question to my 1000th answer!
Answer:
[tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}}}{x^4} - \frac{2e^{\frac{3}{x}}}{x^3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Splitting FractionsAlgebra I
Terms/CoefficientsFactoringExponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]
Quotient Rule: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{e^{\frac{3}{x}}}{x^2}\\f(x) = e^{\frac{3}{x}}\\g(x) = x^2[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{\frac{d}{dx}[e^{\frac{3}{x}}] \cdot x^2 - \frac{d}{dx}[x^2] \cdot e^{\frac{3}{x}}}{(x^2)^2}[/tex]Derivative Rule: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{e^{\frac{3}{x}} \cdot \frac{-3}{x^2} \cdot x^2 - \frac{d}{dx}[x^2] \cdot e^{\frac{3}{x}}}{(x^2)^2}[/tex][Simplify] Multiply: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}} - \frac{d}{dx}[x^2] \cdot e^{\frac{3}{x}}}{(x^2)^2}[/tex]Basic Power Rule: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}} - 2x^{2-1} \cdot e^{\frac{3}{x}}}{(x^2)^2}[/tex][Simplify] Subtract Exponents: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}} - 2x \cdot e^{\frac{3}{x}}}{(x^2)^2}[/tex][Simplify] Multiply: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}} - 2xe^{\frac{3}{x}}}{(x^2)^2}[/tex][Simplify] Exponent Rule: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}} - 2xe^{\frac{3}{x}}}{x^{2 + 2}}[/tex][Simplify] Add Exponents: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}} - 2xe^{\frac{3}{x}}}{x^4}[/tex][Simplify] Fraction Split: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}}}{x^4} - \frac{2xe^{\frac{3}{x}}}{x^4}[/tex][Simplify - 2nd Fraction] Cancel Like Terms: [tex]\displaystyle \frac{d}{dx}[\frac{e^{\frac{3}{x}}}{x^2}] = \frac{-3e^{\frac{3}{x}}}{x^4} - \frac{2e^{\frac{3}{x}}}{x^3}[/tex]And we have our final answer!
Convert 10.8% to a decimal
Answer:
0.108
Step-by-step explanation:
Original price: $48; Markup: 12.5%
Answer:
6.86
Step-by-step explanation:
The sum of three consecutive integers is -720. What are the three integers?
this is prob really ez but im making sure
pls help asap
Answer:
108
Step-by-step explanation:
Explanation: Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.
Help ASAP please! Thanks, will give brainliest if correct.
Answer:
A
Step-by-step explanation:
Choose the graph of this equation y 2.5
Answer:
A
Step-by-step explanation:
when you look at the y axis 2.5 is a point
I will give brainleist! Please help on all it’s my homework i don’t know how to do
Answer:
17) 3 18) 3
Step-by-step explanation:
Answer:
17. C
18. C
Step-by-step explanation:
The greater the negative number, the less the number values. -10 is smaller than -8 because -10 is farther away from the number line to the left.
Go in terms of the tenths place. If its smaller than the number will be less than the bigger numbers. 0.227 is bigger than 0.18 because it has a 2 in the tenths place.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
PLEASE HELP I NEED HELP ASAP TRANSVERSAL ANGLES A LOT OF POINTS ON THE LINE.
Answer:
Step-by-step explanation:
so basically you have to look for the opposite side of what they give you. then just plot it in
What is the length of side AC
Answer:
7 Units.
Step-by-step explanation:
First of all, you could just count the units, but that's not really too effective. Otherwise, you could start from the coordinates of the "C" point, and see how it's at -Y = -5. Therefore, to get to the line separating the two points, you would have to subtract 5 from 5 to get to the line. Now, you look at point "A". It's Y coordinate is 2. Therefore, adding 5 and 2 together gives you 7 units.
Simplify: 3(r + 12r2) – 2(r + 8)
36r2+r-16 is the answer, btw the 2 besides the r in 36 is an exponent
A line passes through (2, 5) and (8, 10). Find the value of y if (12, y) lies on the line. correct answer gets brainliest
Answer:
[tex]y = 6[/tex]
[tex]hope \: it \: helps... \\ mark \: as \: brainliest.....[/tex]
A manufacturer produces 1 ton of baseballs per day and packs them in cartons of 24 baseballs each. If all of the balls are the minimum allowable weight, how many cartons of balls does the company produce each day?
Given :
Mass of baseball produced per day, m = 1 ton.
1 carton of baseball contain 24 baseballs.
To Find :
If all of the balls are the minimum allowable weight, how many cartons of balls does the company produce each day.
Solution :
Minimum allowable weight of a baseball is 5 ounces.
We know, 1 ton = 2000 pounds and 1 pounds = 16 ounces.
So, 1 ton = 32000 ounces .
Number of baseballs produced :
n = 32000/5
n = 6400
Number of carton produce each day, N = 6400/24 = 266.67
Since, carters cannot be in decimal.
Therefore, carton produce in each day is 266 .
Elijah works at Chick-fil-A and gets paid weekly. He does not have any money in his bank account yet, but will
start saving for a PlayStation 5. After 4 weeks, he has $150. In 8 weeks, he has $300.
1 2 3 5 6 7 8 10 TIME REMAINING 01:51:26 The function f(x) is shown on the graph. What is flo)? y у O 12 only -15 flx) 0 2 and 3 only O-2, -1, 1, and 2 only 0 -2, -1, 1, 2 and 12 9+ 3 -7 6 5 4 3 2 +1 4 5 6 7 X 3 6 + -9 -12+ -15-
Answer: 12 only
Step-by-step explanation:
The value of f(0) from the graph of f(x) is (a) 12 only
What are functions?Functions are used to represent graphs, equations, ordered pairs and relations.
To interpret the value of the function, we start by reading the graph.
From the graph, the value of the function when x = 0 is 12
This means that:
[tex]f(0) = 12[/tex]
Hence, the value of f(0) from the graph of f(x) is (a) 12 only
Read more about functions and graphs at:
https://brainly.com/question/13136492
HELP ME NOW!!!!!!!!HELP ME NOW!!!!!!!!HELP ME NOW!!!!!!!!HELP ME NOW!!!!!!!! OK! WHAT IS THE THING PLUS THAT?
Answer:
girl it is 2
Step-by-step explanation:
Step-by-step explanation:
WRL-15663: The SparkFun ESP32 Thing Plus is the next step to get started with Espressif IoT ideations while still enjoying all the amenities of the original ESP32 Thing. Espressif's ESP32 WROOM is a powerful WiFi and Bluetooth MCU module that targets a wide variety of applications. At the core of this module is the ESP32-D0WDQ6 chip which is designed to be both scalable and adaptive.
Please help:(
If g(x) = 3x + 1, find the value of x if g(x) is 10.
Select the correct answer.
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30%. How many
triangles can you construct using these measurements?
А.0
В.1
C.2
D. infinitely many
Answer:
D. infinitely many
Step-by-step explanation:
I assume that percentage sign is a degree symbol.
If there are only two sides given, there can be an infinite amount of triangles
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
Item 3
The table shows the cost of renting bowling shoes.
Number of Pairs of Shoes Cost
1 $2.50
2 $5.00
3 $7.50
4 $10.00
5 $12.50
What does the rate of change mean in this situation?
The cost increases $10.00 for every additional pair of shoes rented.
The cost increases $5.00 for every additional pair of shoes rented.
The cost increases $2.50 for every additional pair of shoes rented.
The cost increases $7.50 for every additional pair of shoes rented.
Answer:
C) The cost increases $2.50 for every additional pair of shoes rented.
Step-by-step explanation:
Notice a pattern. When you buy a new pair of shoes, the total gets increased by $2.50 depending on how many pairs of shoes you buy. For example, starting with 1 pair of shoes, it costs $2.50, but when you buy another pair, the cost is $2.50+$2.50=2*$2.50=$5.00, and so on...
Therefore, the correct choice is C
30% de que número es 42 ?
Plzz I need help due today!!!!
the question is in the picture
Answer:
the answer is 15 degree
Answer:
15
Step-by-step explanation:
first i looked at the numbers that weren't X and added up to 30° and subtracted that from 180 because a triangle equals 180. i got 150 and there is in total of 10 x's so i divided 150 by 10 and got 15! have a good day :)
What is 345578 divide by 243
help 6th grade math i will give brainliest