Answer:
[tex]\frac{dy}{dx} = 18x - 1[/tex]
Step-by-step explanation:
[tex]y = \frac{9x^{4} - x^{3}}{x^{2} }\\\\y = \frac{9x^{4}}{x^{2} } - \frac{x^{3}}{x^{2} } \\\\y = 9x^{2} - x\\\\\frac{dy}{dx} = 18x - 1[/tex]
A wooden cube has a volume of 216 cubic centimeters. What is the length of one side of the cube?
Answer:
6
Step-by-step explanation:
In order to calculate length of one of the side we would need to find the cube root. The cube root of 216 would be 6 as 6*6*6 would be 216
Answer:
6
Step-by-step explanation:
The volume of a cube is length squared.
The square root of 216 is 6, therefore the length is 6 centimeters.
Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?
Answer:
$7.25 at part-time job $9.00 every time lawn mowed so he would get 33.33 day so we will just say 33 times to get 300 dollars if he gets $9 for mowing. And 41.37 hours to get $300 and he would have to use x and y graph to find the boundary line.Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False
Answer:
a. true
b. false
Step-by-step explanation:
1/2 x + y = 8 and 2y = x + 14 pls show your work thx
HEY Keaniiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
What is 31.68 - 19.55 =
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
Answer:
12.13
Step-by-step explanation:
select the correct answer.
simplify the following expression.
(1/7x +3/8) +(2/8x - 1/8)
A. -5/63x +1/2
B.23/63x +1/2
C.3/16x + 1/4
D.23/63x + 1/4
Todd is traveling to Mexico and needs to exchange 400 US dollars into Mexican pesos. If each dollar is worth 12.29 pesos, how many pesos will he get for his trip?
What is the measure of Z PRQ?
62°
108°
P.
N
R
how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]
Answer:
x=7+√15
x=7-√15
Step-by-step explanation:
Anita buys a computer for $391 in a sale. The sale price is 15% less than the original price. Calculate the original price of the computer.
Answer:
449.65
Step-by-step explanation:
391x.15=58.65
$58.65+$391= 449.65
Solve the absolute value equation. Graph the solution. |x-3|=1
Answer:
4
Step-by-step explanation:
hihihihihihihihihihi
Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.
Answer:
8 pages
Step-by-step explanation:
It is given that,
You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.
We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :
[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]
Hence, there are 8 pages you need to read each day.
Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)
Answer:
y - 4 = -5(x - -6)
Step-by-step explanation:
its correct
Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon . What is the correct unit rate? What was Henry's likely error?
Answer:
What is the correct unit rate?
The correct unit rate = 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
Step-by-step explanation:
Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon .
What is the correct unit rate?
The correct unit rate
= 1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
1/5 / 1/10
Henry calculated it : = 1/5 x 1/10 = 1/50
This is wrong.
The correct step is given below
1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answer:
0.2hrs/dollars
Step-by-step explanation:
Given parameters:
Cost of bike = $31
Time duration = 6hrs
Unknown:
Hours customers get per dollar = ?
Solution:
The number of hours customer gets per dollar is;
Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]
Number of hrs/dollar = [tex]\frac{6hrs}{31}[/tex]
Number of hrs/dollar = 0.2hrs/dollars
Some animals on farms eat hay to get energy. A horse can eat 20 pounds of hay each day. Write and evaluate an expression to find how many pounds a group of 17 horses can eat in two weeks.
Answer:
The amount of hay these 17 horses can eat in 2 weeks is 4,760 pounds.
Step-by-step explanation:
It is provided that a horse can eat 20 pounds of hay each day.
There is a group of 17 horses.
Compute the amount of hay these 17 horses can eat in 2 weeks as follows:
[tex]\text{Total amount of hay} = 20 \times \text{Number of days} \times \text{Number of Horses}[/tex]
[tex]=20\times 14\times 17\\\\=4760[/tex]
Thus, the amount of hay these 17 horses can eat in 2 weeks is 4,760 pounds.
2x+7y=4 −2x−8y =−2
Answer:
-y = 2.
Step-by-step explanation:
2x + 7y= 4
- 2x – 8y = -2
Adding we eliminate x because 2x + -2x = 0:-
0 - y = 4 + -2
-y = 2.
what is x times x times y times y plz
Answer:
im sorry if im wrong but im sure its xy
Step-by-step explanation:
Answer: x^2y^2
Step-by-step explanation:
x*x=x^2
y*y=y^2
5. The side of a square is (3x - y). What is the perimeter of the square?
a. 12x - 4y
b. 12x -Y
c. 6x-2y
d. 12x + 4y
I need help plzzz
Answer:
A) 12x-4y
Step-by-step explanation:
Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.
Question 1 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 4y = 14
X= 3
O A. (3,5)
B. (2,3)
C. (3,12)
PREVIOUS
Type here to search
o
Answer:
The Answer is (3,2) I took the test on A.P.E.X.
Mike had to call a plumber. The plumber charged $55 for the service call plus, plus $22 for parts, and an hourly rate. He worked on the job for 3 hours. If Mike was charged $152, how much did the plumber charge per hour?
pls include the equation.
Answer: the answer is $456 and that is correct
Step-by-step explanation:
152×3= $456
h - 15 = -22
Help please
Answer:
-7
Step-by-step explanation:
H - 15 = -22
H= -22+15
H= -7
Value of H is -7
Answer:
- 7
Step-by-step explanation:
h - 15 = - 22
h = 15 - 22
h = - 7
Thus, The value of h is - 7
-TheUnknownScientist
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
Laura makes a down payment of $2700 on a new car and for 2 years monthly payments of $495 what is the actual cost of the car ?
The info is in the picture
Domain?
Range?
Answer:
Step-by-step explanation:
7.
Domain : { x | -2 < x < 2 } (x such that x is greater than -2 and less than 2)
Range: { y | 1 < y < 5 } (y such that y is greater than 1 and less than 5)
8.
Domain: { x | x € ℝ } (x such that x is all real numbers)
Range: { y | x € ℝ } (y such that y is all real numbers)
Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)
Answer:
y=1/4x
Step-by-step explanation: in image below
the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay
Answer:
Simon and Sophia payed $3.40 each.
Step-by-step explanation:
5.10/6= 0.85
0.85 dollars per pretzel.
0.85*8= 6.8
Simon and Sophia payed $6.80 together.
6.80/2= 3.4
Simon and Sophia payed $3.40 each.
Answer:
They each pay $3.40.
Step-by-step explanation:
I took 6 and divided $5.10 into 6 to get the cost per pretzel. Then, I multiplied the cost of one pretzel by 8, and divided by two to evenly split the cost between Simon and Sofia. Hope this helps!!
Problem
The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.
Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answer:
18 litresStep-by-step explanation:
The formula for the remaining volume of fuel in a car's tank is expressed as;
V = I - E.D
where;
I is the initial volume of fuel,
E is the fuel efficiency, and;
D is the distance traveled.
Given
I = 30 litres
1m³ = 1000L
x = 30L
x = 30/1000
x = 0.03m³
I = 0.03m³
E = 100cm³/km
E = 100*10^-6m³/km
E = 10^-4m³/km
E = 10^-4m³/1000m
E = 10^-7m²
D = 120km
Convert km to metres
D = 120km = 120,000m
Substitute the results into the formula;
V = I - E.D
V = 0.03 - (10^-7)(120,000)
V = 0.03 - 0.012
V= 0.018 m³
Convert 0.018 m³ to litres
Since 1 m³ = 1000L
0.018 m³ = y
cross multiply;
y = 1000 * 0.018
y = 18 litres
Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres
2. Manakah yang merupakan PLSV? Jelaskan!
a. 2x + 5 25
b. y + 10 = 7
C. x+3y = 12
d. x + 2 = 10
Step-by-step explanation:
10 -3 10+3*-3= 12 x=10-8=6
For which function will both ordered pairs (3,6) and (4,8) be solutions?