Erwin began the month with a bank balance of $0. His bank statement shows one credit (+) and one debit (-). HIs balance at the end of the month was $15. What could be the amounts shown as Erwin's bank statement. Explain how you got your answer.
Answer:
Credit ⇒ 45
Debit ⇒ $30
Step-by-step explanation:
Credit = $45
Debit = $30
When an account balance increases it means that it has been credited and when it decreases, it has been debited.
The beginning balance here is $0 and the closing balance is $15.
There were 2 transactions, one credit and one debit.
For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.
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 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 .
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!
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
What is the reciprocal of 7? Enter your answer in the space below, using a slash mark (/) as a fraction bar when needed.
The reciprocal of 7 is 1/7.
What is a reciprocal?The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal.
Given:
The number is 7.
Let n be the reciprocal of 7.
If n is a real number, then 1/n will be n's reciprocal.
To find the reciprocal of 7:
We need the value that can give us 1 when multiplied by 7.
That means,
n x 7 = 1
Divide by 7 to both sides,
n = 1/7
Therefore, the reciprocal is 1/7.
To learn more about the reciprocal;
https://brainly.com/question/15590281
#SPJ2
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
What is the distance between point R(−1, 7) and point T(−7, 7) ?
1 unit
6 units
7 units
8 units
pls help me i am trying to get a better grade in math
Answer:
6 units to the right
Step-by-step explanation:
i added it to a graph.
Answer: You can use the distance formula to find the distance between any two points ion the plane. In this case, look carefully at the coordinates:
R(-1, 7) and T(-7, 7), Notice they both have y-coordinate 7. That means they are both on the same horizontal line. To find their distance, just subtract -7 from -1 and take the absolute value.
|-1 - (-7)| = |-1 + 7| = |6| = 6
The distance is 6 units
Step-by-step explanation:
PLEASE HURRY, ILL MARK YOU BRAINLEST!! Select the correct answer.
David and Gino each have coins with the same total value. David has a mixture of nickels and dimes, and he has 8 more nickels than he has
dimes. Gino only has nickels, and he has 20 more nickels than David.
What is the value of David's coins?
ОА.
$1.90
ОВ.
$1.50
OC. $1.45
OD.
$0.55
Answer:
A
Step-by-step explanation:
If you want more of an explanation, just ask
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
Find the length of MN
Answer:
Is there supposed to be a screenshot?
then again this is your first question .....................
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
Find slope.
х
у
-7
-1
0
-5
-1
4
3
Answer:
0.75
Step-by-step explanation:
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.
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!
Convert 10.8% to a decimal
Answer:
0.108
Step-by-step explanation:
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
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]
PLZZZZZZZZZZZZ HELP ME WITH THIS I WILL MARK YOU
Answer:
First question:y=-1/2x+3
Second question: y=1x
What percentage of a 15-ft tree is a little 3-ft sapling?
Answer:
20%
Step-by-step explanation:
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:
Plsss help ASAP I DONT have time..
Answer:
3
Step-by-step explanation:
there is a 3 times difference in the first image and its the same just smaller
help 6th grade math i will give brainliest
Write the equation of the line fully simplified slope intercept form.
Answer:
y=-2x+5
Step-by-step explanation:
I need help please!!!!!!!
Answer:
75°
Step-by-step explanation:
We can assume that the angle shown and an angle that measures 15° makes a complementary angle. A complementary angles is when two angles add up to be 90°. We can create an equation and simplify:
15 + x = 90
x = 75
Best of Luck!
where dose (3.5,1.75) go on a coordinate plane?
Answer: where is the picture
Step-by-step explanation:
what is 7x+3(8x-7) I need it in standard form
Answer:
31x-21
Step-by-step explanation:
Distribute:7x+24x-21
Add like terms:31x-21
Answer:31x-21
the answer is 31x-21
The model below represents an equation. Which value of X makes the equation true?
Answer:
A) x = -1/4
Step-by-step explanation:
There are 4 x's, 4 1's on one side of the equation, and 3 1's on the other side
4x + 4 = 3
Subtract 4 on both sides
4x = -1
Divide each side by 4
x = -1/4
A 324 -inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
Answer:
64.8 in
Step-by-step explanation:
The pipe is 324 in and you cut in in two. Since we know that one piece is five times the length of the other, we can make the equation 324=5x. Divide both sides by five gets us 64.8 = x.
To check our work, let's multiply 64.8 by 5. It does equal 324 so we are correct.
Hey so can somebody help me? Please dont guest on this, im on the test and i dont want to fail, so please actually try thanks (you will get brainliest if you explain where the arrow goes and the answer of the problem) ( but the main point is to explain where the arrow goes)
Answer:
The answer would be -2 1/6
Step-by-step explanation:
The arrow goes to the left side because it is negative. -1/3 would be equal to -2/6. -5/6 + -1/6 + -1/6 = -1 1/6. Add the 1 and you get -2 1/6!
Hope this helped ^^