Answer:
[tex]y = \frac{9x^2}{2} + c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits^ _[/tex][tex](x + 8x) dx[/tex]
Required
(a) Integrate
(b) Check using differentiation
To integrate, we make use of the following formula;
if
[tex]\frac{dy}{dx} = \int\limits^{} _{} ax^n[/tex]
then
[tex]y = \frac{ax^{n+1}}{n+1}[/tex]
So; [tex]\int\limits^ _[/tex][tex](x + 8x) dx[/tex] becomes
[tex]y = \frac{x^{1+1}}{1+1} + \frac{8x^{1+1}}{1+1} + c[/tex]
[tex]y = \frac{x^{2}}{2} + \frac{8x^{2}}{2} + c[/tex]
[tex]y = \frac{x^{2}}{2} + 4x^2 + c[/tex]
Take LCM
[tex]y = \frac{x^{2} + 8x^2}{2} + c[/tex]
[tex]y = \frac{9x^2}{2} + c[/tex]
To check using differentiation, we make use of
if [tex]y = ax^n[/tex], then
[tex]\frac{dy}{dx} = nax^{n-1}[/tex]
Using this formula
[tex]y = \frac{9x^2}{2} + c[/tex] becomes
[tex]\frac{dy}{dx} = 2 * \frac{9x^{2-1}}{2}[/tex]
[tex]\frac{dy}{dx} = 2 * \frac{9x}{2}[/tex]
[tex]\frac{dy}{dx} =9x[/tex]
[tex]9x = x + 8x[/tex]
So;
[tex]\frac{dy}{dx} = x + 8x[/tex]
Nancy decides to roll a die three times. What's the probability that she will roll all even numbers?
Answer:
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8.
The probability that she will roll all even numbers is 1/8.
It should be noted that there are 6 numbers in one roll of a dice. Therefore, there are 3 even numbers and 3 odd numbers.
The probability of getting even numbers in one roll will be:
= 3/6 = 1/2
The probability that she will roll all even numbers will be:
= 1/2 × 1/2 × 1/2
= 1/8
Read related link on:
https://brainly.com/question/17223144
7(6-2A)=5(-3A+1) help need steps and answer!
Answer:
A = -37
Step-by-step explanation:
7(6-2A)=5(-3A+1)
Distribute
42 - 14A = -15A +5
Add 15A to each side
42 - 14A +15A= -15A+15A +5
42+A = 5
Subtract 42 from each side
42+A -42 = 5-42
A = -37
The value of β is:
A)60º
B)45º
C)90º
D)30º
E)75º
Answer:
A
Step-by-step explanation:
To solve this problem, it is best to identify the sides (opposite, adjacent, hypotenuse) in terms of β. Since the adjacent side of β is 3 and the hypotenuse is 6, we know that cos(β) = 3/6 = 1/2. That means β = 60º, which is choice A.
If you would like more tutoring in math or other subjects for FREE, check out growthinyouth.org.
00:00
Brandy made 7 batches of cookies. Each batch contained 12 cookies.
She put the same number of cookies in each of 5 bags. How many cookies were NOT put in bags?
16 cookies
12 cookies
4 cookies
2 cookies
Answer:
4 cookies
Step-by-step explanation:
The remainder of (7x12)/5 is your answer.
if the radius of the right cylinder is 5 in and the radius of the oblique cylinder is 4 in, they will have the same volume as long as they are the same height.
a. True
b. False
Answer:
False.
Step-by-step explanation:
Recall that the volume of a right cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]
And the volume if a oblique cylinder is likewise also given by the formula:
[tex]V=\pi r^2h[/tex]
From the formulas, therefore, if the heights are equivalent, then the radii must also be equivalent for the two cylinders to have the same volume.
Is it possible to add a rational number to an irrational number and get a rational
number?
Answer:
no
Step-by-step explanation:
rational numbers are just like negative and positive. If you add a positive number and a negative number together, you are going to get a negative number, so the answer is no.
// have a great day //
Miguel cycles at an average speed of 12 km/h.
How far has he travelled if he cycles for 5 and a
quarter hours?
Answer:
63 km
Step-by-step explanation:
Distance = speed x time = 12 x 5.25 = 63 km
Solve for w.
16w − 15w = 20
Hasan has an annual income of $24,000. He decides to take classes on line and at night so that he can continue to work. After 3 years he gets his degree and immediately starts earning $30,000 per year. If it takes Hasan 6 years to recover his investment for his education, how much did it cost him?
Answer:
$36,000
Step-by-step explanation:
The difference in income is $6000. After 6 years, the extra income totals to $36,000. So that was the cost of the investment.
Does a point have any dimensions ?
Answer:
NO
Step-by-step explanation:
Points do not have dimensions.
Answer:
no
Step-by-step explanation:
Samantha is wall papering her bedroom and wants to make sure that she bought enough wall paper. Each wall in her room measures 10 feet by 11 feet. How many rolls of wall paper will Samantha need if each roll covers a total of 25 square feet.
Answer:
4.4 rolls of wallpaper
Step-by-step explanation:
Dimensions of Samantha's room= 10 feet by 11 feet
Length= 11 feet
Width= 10 feet
Area of Samantha's room= Length × width
= 11 feet × 10 feet
= 110 square feet
Each roll covers a total of 25 square feet
Total rolls of wallpaper = Area of the room / Area covered by each roll
=110 square feet / 25 square feet
= 4 10/25
= 4 2/5
= 4.4 rolls
The following graph describes function 1, and the equation below it describes function 2:
Function 1
graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2
f(x) = −x2 + 2x − 3
Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)
Answer:
Answer:
Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1
Therefore, vertex = (4, 1)
Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5
Therefore vertex = (2, 5)
Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.
Step-by-step explanation:
50% of 80 solve pls show working
pls I know it just try working it
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{40}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{50 \: \% \: of \: 80}[/tex]
To convert the percent into a fraction , divide it by 190 and remove the % symbol. Then , Simplify the fraction to its lowest term.
⇒[tex] \sf{ \frac{50}{100} \times 80}[/tex]
⇒[tex] \sf{ \frac{1}{2} \times 80}[/tex]
Divide 80 by 2
⇒[tex] \sf{40}[/tex]
Hope I helped!
Best regards!!
Answer:
40
Step-by-step explanation:
50% of 80 is just 0.5 x 80 = 40
PRECALC HELP PLEASE WILL GIVE BRAINLIEST
Answer:
d ⇒ di^(21-22) = -di, facing right from where it was; order doesn't matter
Step-by-step explanation:
For direction defined as 1, i, -1, -i, a left turn is accomplished by multiplying by i. Then "L" left turns will be multiplication by i^L.
A right turn is equivalent to multiplication by -i, so R right turns will be multiplication by (-i)^R.
We know that turning left and turning right are inverse operations of each other, so we can also write a right turn as multiplication by i^(-1). Then R right turns will be equivalent to multiplication by i^(-R).
We know from the commutative and associative laws of multiplication that the order does not matter. So, L left turns and R right turns will be equivalent to multiplication by ...
(i^L)(i^-R) = i^(L -R)
Hence 21 left turns and 22 right turns is equivalent to a turn of ...
i^(21-22) = i^-1 . . . . one right turn
From an initial facing direction of 'd', the final facing direction after these 43 turns is -di.
There were 94,172 people at a football game, which digit is in the thousand place in this number
Answer: 4
Step-by-step explanation:
94,172
ten thousands, thousands, hundreds, tens, ones
According to the list of places, 4 is the thousand place in 94,172.
Hope this helps!! :)
Please let me know if you have any question
Answer: In this number, 4 is the thousands place.
Step-by-step explanation:
So we have to find the thousands place in this number:
94,172
Label it:
9 4 1 7 2
ten thousands thousands hundreds tens ones
Therefore, 4 is the thousands place.
Hence, your answer.
Enter an algebraic equation for the sentence. Use x as your variable.
The difference between nine times a number and 4 is 23.
Answer:
Step-by-step explanation:
Represent the number by x. Then:
9x - 4 = 23
6 13 51
4 7 29
19 11 ?
What the missing number?
Answer:
I think the answer is 3 ( Maybe)
what are the coefficients of 8+5x-y
Answer:The coefficients are the numbers that multiply the variables or letters. Thus in 5x + y - 7, 5 is a coefficient. It is the coefficient in the term 5x. Also the term y can be thought of as 1y so 1 is also a coefficient.A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1. ... Example: In ax2 + bx + c, "x" is a variable, and "a" and "b" are coefficients.First of all, coefficent means the number standing in front of a variable.
So, according to the expression, 2 - 5x - 4 + 8, the coefficient is -5.
Why? because it stands in front of the variable.
Step-by-step explanation:
The local gym offers classes in dance and gymnastics. The gym has 10 dance classes for each 15 gymnastics classes. How many gymnastics classes are there for each dance class?
Jeans were $11.50 with a 15% sales tax. What is the sales tax?
Answer:
1.50
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\$ \ 1.725}[/tex]
Step-by-step explanation:
Costing Price = $ 11.50
Tax = 15% of $11.50 :
=> [tex]\sf \frac{15}{100} * 11.50[/tex]
=> [tex]\sf 0.15 * 11.50[/tex]
=> $1.725
So, Sales tax is $1.725
For questions 6a & 6b, calculate the mean for each group: 6a) Textbook A 6b) Textbook B Mean: ______________ Mean: ______________ 6) Which class performed better? 7) If the standard deviation for Class A was 26.3 and the standard deviation for Class B was 8.5, which class was more consistent?
Answer:
44 52 95 76 13 94 83 72 55 81 22 25 64
The mean is: 59.7
65 72 48 63 68 59 68 62 75 79 81 72 64
The mean is: 67.4
a(x+b)=g+3f
solve for x
Answer:
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Note that PEMDAS =
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
& is the order of operation.
First, divide a from both sides:
[tex]a(x + b) = g + 3f[/tex]
[tex]\frac{a(x + b)}{a} = \frac{g + 3f}{a}[/tex]
[tex]x + b = \frac{g + 3f}{a}[/tex]
Next, subtract b from both sides to isolate the variable, x.
[tex]x + b (-b) = \frac{g + 3f}{a} (-b)[/tex]
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
Answer:
50
Step-by-step explanation:
58 - 9.5
Answer:
Your correct answer is 52.49
Step-by-step explanation:
Subtract.
58 - 9.5% = 52.49
Change the following military times to regular times. a. 0215 b. 0532 c. 0045 d. 1842
Answer:
a) 2:15 AM
b) 5:32 AM
c) 12:45 AM
d) 6:42 PM
Can somebody help me with this math problem?
Answer:
i can't give answer because i cant see full graph but plot point A then draw a diagonal line through point M until your in the top right square and the line hits a point
Step-by-step explanation:
Answer: (-11, -5.5)
Step-by-step explanation:
Use Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
Midpoint M= (-9, -3)
(x1, y1)=(-7, -0.5)
-------------------------------------------------
[tex]\frac{x1+x2}{2}[/tex]=-9
-7+x2=-18
x2=-11
---------------------------------------------
[tex]\frac{y1+y2}{2}[/tex]=-3
-0.5+y2=-6
y2=-5.5
(-11, -5.5)
Hope this helps!! :)
Please let me know if you have any question
A printer prints 4 photos each minute. Let P be the number of photos printed in M minutes. Write an equation relating P to M . Then graph your equation using the axes below. Please include graph!
Answer:
sorry i accidently put stuff in the comments
equation:
T=4M
graph: y=4x (pic is included)
The equation relating P to M is P = 4M and the graph will be a linear graph that passes through the origin.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
A printer prints 4 photos each minute. Let P be the number of photos printed in M minutes. Write an equation relating P to M.
P = The number of photos printed in M minutes
M = The number of minutes.
P = 4M
Because the printer prints 4 photos each minute.
The graph will be a linear graph that passes through the origin.
Thus, the equation relating P to M is P = 4M and the graph will be a linear graph that passes through the origin.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Simplify and mention the property used: -265 × 52 + 265 ×152
Answer:
0
Step-by-step explanation:
Using bodmas
(-265*52)+(265*152)
(-13780)+(13789)
=0
Answer: 26500
Step-by-step explanation:
Simplify -265 x 52 to -13780
-13780+265 x 152
Simplify 265×152 to 40280
-13780+40280
Simplify
26500
Unfortunately I do not understand the part which mentions "property used"
The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 325 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.
Answer:
D. 153.37 lb
Step-by-step explanation:
I chose C and it said the Correct answer is D
Juan proyecta alquilar un local para hacer funcionar un gimnasio cuando las normas sanitarias lo permitan. El alquiler mensual es de S/2000, ¿a cuanto equivale el impuesto que debe pagar el dueño por alquilar su local?
Answer:
Si posee una propiedad y la alquila a inquilinos, ¿cómo se gravan esos ingresos?
La respuesta es que los ingresos por alquileres se gravan como ingresos ordinarios. Si está en el tramo impositivo marginal del 22% y tiene $ 5,000 en ingresos por alquiler que declarar, pagará $ 1,100.
Sin embargo, hay más en la historia. Los propietarios de propiedades de alquiler pueden reducir sus cargas fiscales de varias formas. De hecho, una propiedad rentable en alquiler podría no mostrar ingresos, o incluso una pérdida, a efectos fiscales.
Si uno de sus inquilin os le extiende un cheque por $ 1,000 por mes para cubrir su alquiler, se trata de ingresos por alquiler.
El impuesto deducido en el que incurre el propietario depende del tramo impositivo marginal del estado del país. Si el tramo impositivo marginal es del 20%, el impuesto será 20/100 x 2000 = 400
On Thursday the Meat King Market sold 1,212 pounds of ground beef. On
Friday they sold twice
that amount. On Saturday they only sold 2,137 pounds. How much more
meat did they sell on
Friday than Saturday ?
Answer:
287 pounds
Step-by-step explanation:
1212 X 2= 2424
2424-2137= 287