Answer:
I would say either A or C
Step-by-step explanation:
because when you distribute both they both come out to be 24j - 16
Brainlyst for the best answer thank you!
help me please it’s due soon
Add them both up and divided by 2, 52+45=97. 97/2 =48.5
Step-by-step explanation:
Evaluate f′ (1) and f′′ (1): = x√x
--------
3√ 5
Answer:
[tex]\displaystyle f'(1) = \frac{3}{2}[/tex]
[tex]\displaystyle f''(1) = \frac{3}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [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
f(x) = x√x
f'(1) is x = 1 for 1st derivative
f''(1) is x = 1 for 2nd derivative
Step 2: Differentiate
[1st Derivative] Product Rule: [tex]\displaystyle f'(x) = \frac{d}{dx}[x]\sqrt{x} + x\frac{d}{dx}[\sqrt{x}][/tex][1st Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f'(x) = \frac{d}{dx}[x]\sqrt{x} + x\frac{d}{dx}[x^{\frac{1}{2}}][/tex][1st Derivative] Basic Power Rule: [tex]\displaystyle f'(x) = (1 \cdot x^{1 - 1})\sqrt{x} + x(\frac{1}{2}x^{\frac{1}{2}-1})[/tex][1st Derivative] Simply Exponents: [tex]\displaystyle f'(x) = (1 \cdot x^0)\sqrt{x} + x(\frac{1}{2}x^{\frac{-1}{2}})[/tex][1st Derivative] Simplify: [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2}x^{\frac{-1}{2}})[/tex][1st Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2x^{\frac{1}{2}}})[/tex][1st Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f'(x) = \sqrt{x} + x(\frac{1}{2\sqrt{x}})[/tex][1st Derivative] Multiply: [tex]\displaystyle f'(x) = \sqrt{x} + \frac{x}{2\sqrt{x}}[/tex][2nd Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f'(x) = x^{\frac{1}{2}} + \frac{x}{2x^{\frac{1}{2}}}[/tex][2nd Derivative] Basic Power Rule/Quotient Rule [Derivative Property]: [tex]\displaystyle f''(x) = \frac{1}{2}x^{\frac{1}{2} - 1} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{(2x^{\frac{1}{2}})^2}[/tex][2nd Derivative] Simplify/Evaluate Exponents: [tex]\displaystyle f''(x) = \frac{1}{2}x^{\frac{-1}{2}} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{\frac{d}{dx}[x](2x^{\frac{1}{2}}) - x\frac{d}{dx}[2x^{\frac{1}{2}}]}{4x}[/tex][2nd Derivative] Basic Power Rule: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{(1 \cdot x^{1 - 1})(2x^{\frac{1}{2}}) - x(\frac{1}{2} \cdot 2x^{\frac{1}{2} - 1})}{4x}[/tex][2nd Derivative] Simply Exponents: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{(1 \cdot x^0)(2x^{\frac{1}{2}}) - x(\frac{1}{2} \cdot 2x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Simplify: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(\frac{1}{2} \cdot 2x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Multiply: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(x^{\frac{-1}{2}})}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - x(\frac{1}{x^{\frac{1}{2}}})}{4x}[/tex][2nd Derivative] Multiply: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{2x^{\frac{1}{2}} - \frac{x}{x^{\frac{1}{2}}}}{4x}[/tex][2nd Derivative] Simplify: [tex]\displaystyle f''(x) = \frac{1}{2x^{\frac{1}{2}}} + \frac{x^{\frac{1}{2}}}{4x}[/tex][2nd Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f''(x) = \frac{1}{2\sqrt{x}} + \frac{\sqrt{x}}{4x}[/tex]Step 3: Evaluate
[1st Derivative] Substitute in x: [tex]\displaystyle f'(1) = \sqrt{1} + \frac{1}{2\sqrt{1}}[/tex][1st Derivative] Evaluate Roots: [tex]\displaystyle f'(1) = 1 + \frac{1}{2(1)}[/tex][1st Derivative] Multiply: [tex]\displaystyle f'(1) = 1 + \frac{1}{2}[/tex][1st Derivative] Add: [tex]\displaystyle f'(1) = \frac{3}{2}[/tex][2nd Derivative] Substitute in x: [tex]\displaystyle f''(1) = \frac{1}{2\sqrt{1}} + \frac{\sqrt{1}}{4(1)}[/tex][2nd Derivative] Evaluate Roots: [tex]\displaystyle f''(1) = \frac{1}{2(1)} + \frac{1}{4(1)}[/tex][2nd Derivative] Multiply: [tex]\displaystyle f''(1) = \frac{1}{2} + \frac{1}{4}[/tex][2nd Derivative] Add: [tex]\displaystyle f''(1) = \frac{3}{4}[/tex]You have 100 workers who make $9 per hour that work 40 hours per week, 52 weeks a year. If the minimum wage
increased to $11 per hour, how much extra money will the company pay for these 100 workers?
Answer:
416,000
Step-by-step explanation:
per hour 9*100=900
per week 900*40=36,000
per year 36,000*52=1,872,000
with raise
11*100=1,100
1,100*40=44,000
44,000*52=2,288,000
difference equals
416,000
On the 40th birthday, Mr. Ramos decided to buy a pension plan for himself. This plan will allow him to claim
P10,000.00 quarterly for 5 years starting 3 months after his 60th birthday. What one-time payment should he make on his
40th birthday to pay off his pension plan, if the interest rate is 8% compounded quarterly?
Answer:
The amount of one-time payment should he make on his 40th birthday to pay off his pension plan is P32,880.77.
Step-by-step explanation:
Step 1: Calculation of present value on 3 months after his 60th birthday
The present value on 3 months after his 60th birthday can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV60 = Q * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV60 = present value on 3 months after his 60th birthday = ?
Q = quarterly claim = P10,000
r = quarterly interest rate = annual interest rate / 4 = 8% / 4 = 0.08 / 4 = 0.02
n = number of quarters = number of years * Number of quarters in a year = 5 * 4 = 20
Substitute the values into equation (1), we have:
PV60 = P10,000 * ((1 - (1 / (1 + 0.02))^20) / 0.02)
PV60 = P10,000 * 16.3514333445971
PV60 = P163,514.33
Step 2: Calculation of one-time payment on his 40th birthday
The one-time payment can be calculated using the formula the following formula:
PV = PV60 / (1 + r)^n ........................ (2)
Where;
PV = Present value or One-time payment = ?
PV60 = present value on 3 months after his 60th birthday = P163,514.33
r = quarterly interest rate = annual interest rate / 4 = 8% / 4 = 0.08 / 4 = 0.02
n = number of quarters from 40th to 3 months after his 60th birthday = (number of years * Number of quarters in a year) + One quarter = (20 * 4) + 1 = 81
Substitute the values into equation (2), we have:
PV = P163,514.33 / (1 + 0.02)^81 = P32,880.77
Therefore, the amount of one-time payment should he make on his 40th birthday to pay off his pension plan is P32,880.77.
HELPPP HELPP
The cost of a keyboard (k) is $40 less than the cost of a printer (p). Which of these equations could model this fact?
Answer: printer cost > Keyboard cost ($40)
Step-by-step explanation:
Answer:
k = p - 40
Step-by-step explanation:
the word "is" is the same as equal so k =.... $40 less than p which could be written as p - 40 therefore k = p - 40
Tom eats a breakfast that contains 200 calories. After he eats, Tom
exercises for x minutes at a rate that burns 35 calories every 3 minutes.
Which equation represents the net number of calories, y, that Tom
accumulates after eating breakfast and exercising?
Answer:
35/3x +200 = # of calories
Step-by-step explanation:
35/3 = calories burnt in 1 minute
x = minutes exercised for
add 200 to account for calories eaten
35/3x +200 = y
Solve the system of equations by any method you choose
-4x-2y=-2
-9x+3y=3
Answer:1. Use substitution to solve the system of equations:
-x + 2y=7
x - 3y = 3
2. Solve the system of equations by the elimination method
a. 2x+ y = -17
x - y = 2
b. 3x + y = -15
x + 2y = -10
Answer:
(0, 1)
Step-by-step explanation:
You can solve this by using the substitution or elimination method. For this problem, I'm going to use the substitution method. First, rewrite -4x-2y=-2 in slope-intercept form, which would be y=-2x+1. Substitute the y value in -9x+3y=3 (which would be -9x+3(-2x+1)=3) and solve.
-9x+3(-2x+1)=3
-9x-6x+3=3
-15x=0
x=0
Now, substitute the x value in for the x in any equation. You can do -4(0)-2y=-2 or -9(0)+3y=3. I'm going to use -9(0)+3y=3.
-9(0)+3y=3
3y=3
y=1
Please Help me !!!!!!
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATH
Answer:
D.324
Step-by-step explanation:
Answer:
D. 324 Sq in
Step-by-step explanation:
Painted area = area of rectangle + Area of square + Area of triangle
[tex] = 60 \times 4 + {8}^{2} + \frac{1}{2} \times 8 \times 5 \\ \\ = 240 + 64 + 20 \\ \\ = 324 \: {in}^{2} [/tex]
Kelvin-Celsius temperature Conversion Equation
K= °C + 273
Krepresents temperature in Kelvin
°C represents temperature in Celsius
The temperature in Kelvin is equal to the the temperature in degrees Celsius plus 273
°F = 1.8 (°C) + 32
°C = °F - 32/ 1.8
2. The fahrenheit is used by what country?
Answer:
The United States of America mostly and maybe Canada
Dora opens a savings account with $55 that earns 7% interest per
year, not compounded.
How much interest, to the nearest cent, will Dora earn in 7 years?
Give your answer in dollars.
Will mark BRAINLIST
Answer:
$81.95
Step-by-step explanation:
0.07 * 55 = 3.85
(3.85 * 7) + 55
26.95 + 55
81.95
Analyze the following budget, with an income of $600, to determine how much can be spent on food for the month
Question:
Analyze the following budget, with an income of $600, to determine how much can be spent on food for the month.
Cell Phone $65
Food $___
Entertainment $95
College Savings $200
Car Expenses - Gas, Insurance $160
Answer:
[tex]Food = \$80[/tex]
Step-by-step explanation:
Given
[tex]Income = \$600[/tex]
Required
How much should be spent on food
This is calculated as:
[tex]Income = Food + Other\ budgets[/tex]
Where:
[tex]Other\ budgets = Phone + Ent + College + Car, Gas[/tex]
[tex]Other\ budgets = \$65 + \$95 + \$200 + \$160[/tex]
[tex]Other\ budgets = \$520[/tex]
So, we have:
[tex]\$600 = Food + \$520[/tex]
[tex]Food = \$600 - \$520[/tex]
[tex]Food = \$80[/tex]
Answer:
C $80 can be spent on food.
can someone pls awnser this
Answer:
Quadratic and Trinomial
Step-by-step explanation:
It has a degree of 2, making it a quadratic. It has 3 terms, so it's a trinomial.
HELPPPP PLEASE!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
7 - 2 = 5
11 - 3(2)
11 - 6 = 5
4(2) - 3
8 - 3 = 5
C is the only one that doesn't equal 5
The degrees of freedom in a t distribution is?
Answer: 7 degrees of freedom.
Step-by-step explanation:
what is 2y is y = -3
Answer:
-6
Step-by-step explanation:
2 x -3 = -6
1 positive and a negative integer multiplied will get a negative answer
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y=1+ secx, y =3; about y=1
Answer:
Step-by-step explanation:
[tex]\text{Given that:}[/tex]
[tex]y = 1+ sec(x) \ \ y =3[/tex]
[tex]\text{we draw the graph and the curves intersect at:}[/tex]
[tex]x = - \dfrac{\pi}{3} \ and \ x = \dfrac{\pi}{3}[/tex]
[tex]\text{Applying washer method;}[/tex]
[tex]f(x) _{outer} - g(x) _{inner} --- (1)[/tex]
[tex]V= \int ^b_a A(x) \ dx --- (2)[/tex]
[tex]\text{outer radius = 3 - 1 = 2}[/tex]
[tex]\text{inner radius =}[/tex] [tex]( 1 + sec(x) ) - 1 = sec (x)[/tex]
[tex]A(x) = \pi ((2)^2 -(sec(x)^2) \\ \\ A(x) = \pi (4 - sec^2 (x)) ---- (3)[/tex]
[tex]\text{The volume V =}\int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ A(x) \ dx[/tex]
[tex]V = \int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ \pi (4- sec^2 (x) ) \ dx[/tex]
[tex]V = 2 \pi \int ^{\dfrac{\pi}{3}}_{0}( 4 - sec^2 (x)) \ dx[/tex]
[tex]V = 2 \pi \int ^{\pi/3}_{0} 4 . \ dx - 2 \pi \int ^{\pi/3}_{0} sec^2 (x) \ dx[/tex]
[tex]V = 2 \pi(4) \int ^{\pi/3}_{0} 1 . \ dx - 2 \pi \Big( tan (x)\Big )^{\dfrac{\pi}{3}}_{0}[/tex]
[tex]V = 8 \pi(x)^{\dfrac{\pi}{3}}_{0} - 2 \pi \Big( tan \dfrac{\pi}{3} -tan (0)\Big )[/tex]
[tex]V = 8 \pi({\dfrac{\pi}{3}}-{0}) - 2 \pi \Big( tan \sqrt{3}-(0)\Big )[/tex]
[tex]V = 8 \pi({\dfrac{\pi}{3}}) - 2 \pi \Big( \sqrt{3}\Big )[/tex]
[tex]\mathbf{V = 2 \pi \Big(\dfrac{4\pi}{3}- \sqrt{3} \Big)}[/tex]
Solve and check the equation.
3(2y - 5) = 5(y + 4)
Use math-way to solve and check, it gives you all the answers, with a small explanation.
Answer:
y=35
Step-by-step explanation:
3(2y - 5) = 5(y + 4)
6y - 15 = 5y +20
6y - 5y = 20 + 15
y = 35
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
(3,8)
(-3,-8)
(-3,8)
(3,-8)
Answer:
(3,8)
Step-by-step explanation:
THIS IS AN EXAMPLE FOR ANY PROBLEM!!
Get the equation in the form y = ax2 + bx + c.
Calculate -b / 2a. This is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.
- Good luck!
1
3
This week Andres will practice with his band for 15 hours on Monday, 1 - hours on Tuesday, and 2
2
4
hours on Wednesday. Next week Andres will practice with his band for the same number of hours
on Monday, Tuesday, and Wednesday.
What is the total number of hours Andres will practice with his band over these 6 days?
Answer:
[tex]Total = 104\ hrs[/tex]
Step-by-step explanation:
Given
[tex]Monday = 15\ hrs[/tex]
[tex]Tuesday = 13\ hrs[/tex]
[tex]Wednesday = 24\ hrs[/tex]
Required
Determine the hours of practice over 6 days
First, we calculate the hours for the given 3 days.
[tex]Hours = Monday + Tuesday + Wednesday[/tex]
[tex]Hours = 15\ hrs + 13\ hrs + 24\ hrs[/tex]
[tex]Hours = 52\ hrs[/tex]
The hours of practice for the other three days is also 52 hours.
So, the total is:
[tex]Total = 52\ hrs + 52\ hrs[/tex]
[tex]Total = 104\ hrs[/tex]
Answer:
104
Step-by-step explanation:
convert 13.025 to base 10
Answer:
Your question is in what base please?
What is the solution to the equation?
1/7g=3/14
In which quadrant the values of x and y both negative.
Answer:
The Answer should be Quadrant III
Step-by-step explanation:
Hope this helped!
On his math homework assignment, Steven solved six problems correctly 2 points
and eight problems incorrectly. Write a ratio comparing his correct
answers to incorrect answers. Write a ratio comparing his incorrect
answers to the total number of problems. *
WHO EVER ANSWERS I WILL MARK BRAINLIEST
Answer:
6:8 and 8:14
Step-by-step explanation:
8th grade math, please help.
I’ll give you brainliest if you want.
-Find the volume-
Answer:
340.34
Step-by-step explanation:
Answer:
(3.14) (rxr) (h) dived by 3
3.14 x 5x5 x 13
3.14 x 25 x 13
= 1,020.5 divided by 3
= 340.16
Mareo bounces a basketball 45 times in 55 seconds. At that rate,
approximately how many times will Marco bounce the ball in 150
seconds?
How many solutions does the system of linear equations have?
y= 2x
y= -1/2 x + 3
A. one
B. none
C. two
D. infinitely many
What's the question? The answer is 32/3
Answer:
10.67 or 10.7
Step-by-step explanation:
32/3= 10.67 or 10.7
Answer:
10.6666666667 converted into a fraction (sorry if im wrong)
Step-by-step explanation:
Expand the Logarithm
Step-by-step explanation:
The power can come to the front according to logarithm rule.