The correct structure of the question is as follows:
The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.
Answer:
Step-by-step explanation:
Given that:
f(x) = x^3
Then;
V = x^3
The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V
dV/dx = 3x^2
Now, at the moment when x = 3;
dV/dx = 3(3)^2
dV/dx = 3(9)
dV/dx = 27 cubic inch per inch
Suppose it is at the moment when x = 9
Then;
dV/dx = 3(9)^2
dV/dx = 3(81)
dV/dx = 243 cubic inch per inch
The area of a rectangle is less than 81 square centimeters. The length of the rectangle is 9 centimeters and the width is x centimeters. Select the possible value(s) of x.
Answer:
Given
The area of a rectangle is less than 81 square centimeters
length 9cm
width =x cm
Step-by-step explanation:
Area of rectangle=length ×width
= 9×X
Area of rectangle is less than 81 cm^2
So 9x-81=0
X=81/9
X=9
So the value of xis 9
2 part question!
122.53 rounded to the nearest whole number.
18.59 rounded to the nearest whole number.
Answer:
1.) 123 2.) 19
Step-by-step explanation:
Both of these numbers would round up since 5+ makes the number before itself add 1.
ROUNDING
=================================================================
There are two rules for rounding:
1. If the number you're rounding is followed by a digit from 0 to 4 drop it
2. If it's followed by a digit from 5 to 9 add 1
Let's see them in action!
1: 122.53 ==> 122.5 ==>123
2: 18.59 ==> 18.6 ==> 19
Learn more;work harder
#Carryonlearning
==============================================================
what is simplified expression for the expression below? 4(x+8)+5(x-3)
A) 9x+5
B) 9x+11
C)9x+17
D) 9x+47
4(x+8)+5(x-3)
4x+32+5x-15
9x+17
Choose the graph below that represents the following system of inequalities:
y ≥ −3x + 1
y ≤ 1/2 x + 3
Answer:
the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3
using a graph tool
see the attached figure
the answer is the option
B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line
Step-by-step explanation:
Adventureland plans on updating the Arcade with some new and improved games.
They plan on purchasing a new Air hockey table for $875.23, a pinball machine for
$622.19, and two arcade racing games for $942.49 each. What is the total cost for the
new games including an 8.75% sales tax? I will give brainiest
Answer: $3678.36
Step-by-step explanation:
New airball hockey table = $875.23
pinball machine = $622.19
2 arcade racing games = $942.49 each.= $942.49 × 2 = $1884.98
Total amount without sales tax will be:
= $875.23 + $622.19 + $1884.98
= $3382.4
Sales tax = 8.75% × $3382.4
= 0.0875 × $3382.4
= $295.96
Total cost = $3382.40 + $295.96
= $3678.36
On Wednesday, 10% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas. How many of these 250 customers made additional purchases?
Answer:
25 customersStep-by-step explanation:
Step one:
given data
we are told that the total customers are 250 in number
and that 10% of customers made additional purchase.
Step two:
what we intend to find is the number that 10% represent in 250
this is shown as
=10/100*250
=0.1*250
=25
The number of customers that made an additional purchase is 25
Answer:
25
Step-by-step explanation:
Leslie says that a temperature of -12 °C is colder than a temperature of -20 C because
1-12 <1-20). Is Leslie correct? Explain why or why not.
Answer:
Leslie is NOT correct
Step-by-step explanation:
Leslie thinks that the number closer to 0 that's in the negatives it smaller because the number is smaller. But actually, the number farther from 0 that's in the negatives is smaller. So, -12 °C is warmer than -20 °C
I hope this helps!
an equation of the line with a slope of 2/3 and y-intercept of −8.
Answer:
y = 2/3x - 8
Step-by-step explanation:
Use the slope intercept form, y = mx + b, where m is the slope and b is the y intercept
Plug in the slope and y intercept:
y = mx + b
y = 2/3x - 8
So, y = 2/3x - 8 is the equation of the line.
4) A cell phone company would like to run a promotion for a limited time. The cellphone
company is activating a phone line for $40. People will have to pay $50 each month for
phone service. Which equation can be used to find y, the amount that someone will pay
for x months?
y = 40x + 10
y = 40x + 50
y = 40 + 50x
y = 10x + 40
An ice cream shop sells large cones for $2.50 and small cones for $1.50. Jack has enough money to buy 21 large cones. How many small cones could Jack buy?
plz healp
Answer:
the answer is 35 small cones
Step-by-step explanation:
2.50 x 21 = 52.50
52.50 / 1.50 = 35
Jack earned $6.00 per hour before being given a 3% raise. What was Jack’s new wage after the raise?
Answer:
$6.18 per hour
Step-by-step explanation:
3% of 6 is 0.18You can get this number by multiplying 0.03 by 6
Add 0.18 to 6 and that gives Jack $6.18can someone help me fill this out....
Answer:
Step-by-step explanation:
First Line:
0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7
Second Line:
-1/3, 0, 1/3, 1/2, 1, 4/3
Third Line:
0, 1/3, 2/3, 1, 4/3, 5/3, 2
Simplify the expression:
–3(9 − x) =
Answer:
Expand [tex]-3(9-x): -27 + 3x[/tex]
Step-by-step explanation:
[tex]-3(9-x)[/tex]
Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]
[tex]a = -3, b=9, c=x[/tex]
[tex]=-3*9-(-3)x[/tex]
Apply minus - plus rules:
[tex]-(-a)=a[/tex]
[tex]= -3*9+3x[/tex]
Multiply the numbers: [tex]3 * 9 = 27[/tex]
[tex]=-27+3x[/tex]
Hope this helps! If so, may I get Brainliest and a Thanks?
Thank you, have a good one! =)
At a farming supply store 7 pounds of seed cost $153.37. If a farmer needed 4 pounds of seeds, how much would it cost him?
2.
Which of these expressions is equivalent to -2(x - 5)?
A.
-2x – 5
B.
- 2x + 5
C.
-2x + 10
-2x – 10
D.
Answer:
C.
Step-by-step explanation:
Evalute -2(x-5)
-2x+10
Answer:
-2x+10
Step-by-step explanation:
-2(x-5)
= -2x +10 { multiplying equation by -2}
Note:
(-)×(-) = (+)
(+) × (+) = (+)
(-) × (+) = (-)
(+) × (-) = (-)
Someone plz help me I’m on my last question for delta math. I added a screenshot below
Answer:
f(x) = -2x – 7 ; if x < -5
-(x + 2)² + 6 ; if -5 ≤ x < 0
√(x) – 1 ; if x ≥ 0
have fun with the points just spam bruh tho
Answer:
thanks have a great day
Step-by-step explanation:
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SAS
B.) AA
C.) SSS
D.) Not enough information given
Kevin is choosing between two cell phone plans that offer the same amount of free minutes. AT&T’s plan charges $19.99 per month with additional minutes costing $0.35. Verizon’s plan costs $34.99 with additional minutes at $0.30. How many additional minutes, a, will it take for the two plans to cost the same? *
Answer:
300 minutesStep-by-step explanation:
Step one:
Given data
AT&T’s plan
monthly charge= $19.99
additional charge per minute= $0.35
let the number of minutes be x
let the total charges be
y=0.35x+19.99----------1
Verizon’s plan
monthly charge= $34.99
additional charge per minute= $0.3
let the number of minutes be x
let the total charges be
y=0.3x+34.99----------2
Step two:
equating the two equations above we have
0.35x+19.99=0.3x+34.99
collect like terms
0.35x-0.3x=34.99-19.99
0.05x=15
divide both sides by 0.05
x=15/0.05
x=300
For the two plans to cost the same, it will take 300 minutes
Answer:
300 Minutes
Step-by-step explanation:
can you guys please help me with this and fast?
∛125?
Answer:
5
Step-by-step explanation:
125 breaks down into 5×5×5, which proves that it's 5.
Answer:
5 is the right answer
Step-by-step explanation:
Find an integer $x$ such that $\frac{2}{3} < \frac{x}{5} < \frac{6}{7}$.
Answer:
5
Step-by-step explanation
Aops Question
[x] can be any number between -
3.33 < x < 4.29.
What is a expression? What is a mathematical equation? What is Equation modelling ?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the following inequality -
[tex]$\frac{2}{3} < \frac{x}{5} < \frac{6}{7}[/tex]
We can write -
x/5 > 2/3
x > 10/3
x > 3.33
and
x/5 < 6/7
x < 30/7
x < 4.29
[x] can be any number between -
3.33 < x < 4.29
Therefore, [x] can be any number between -
3.33 < x < 4.29.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
can you please tell me if i got these right
Answer:
They are right! Great job!!
You plan to invest $100 per month for the next 10 years into an account that pays 8% with daily compounding. How much will you have in the account in 10 years?
Answer:
FV= $18,213.18
Step-by-step explanation:
First, we need to calculate the monthly real interest rate:
Daily interest rate= 0.08/360= 0.00022
Monthly interest rate= (1.00022^30) - 1
Monthly interest rate= 0.0066
Assuming a year of 360 days, and months of 30 days.
Now, we can determine the future value of the investment:
Monthly deposit= $100
Number of periods= 10*12= 120
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.0066^120) - 1]} / 0.0066
FV= $18,213.18
Alinehasaslopeof 1/3 anda y-intercept of –5What isitsequationin slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = \frac{1}{3}x - 5[/tex]
Step-by-step explanation:
Given
[tex]slope\ (m) = \frac{1}{3}[/tex]
[tex]y\ intercept = -5[/tex]
Required
Determine the line equation in slope intercept
The equation of a line in slope intercept is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope = \frac{1}{3}[/tex]
[tex]b = y\ intercept = -5[/tex]
So, [tex]y = mx + b[/tex] becomes
[tex]y = \frac{1}{3}x - 5[/tex]
pleaseee helppp
unit test due in 30 minss!!!
Answer:
Fraction: 81/100
Decimal: 0.81
Percent: 81%
Step-by-step explanation:
The larger of two numbers is two more than five times the smaller number.if the sum of the two numbers is 80 find both number
Answer:
the smaller number is 13 and the larger number is 67
is (3,2) a solution to 3x + 2y =13
Answer: yes
Step-by-step explanation:
(3*3) + (2*2) = 9+4 = 13 which is what the other side of the equation states so it is a solution
Answer:
Yes
Step-by-step explanation:
Plug the 3 into the x and plug the 2 into the y from (3,2)
So you get, 3(3) + 2(2)=13
9+4=13
What is 75% of 80?
A.
20
B.
45
C.
60
D.
75
Answer:
the answer is C. 60 .....
Answer:
C 60 is the answer
Step-by-step explanation:
75x80 divided by 100= 60
Hellpp ⚠️⚠️
What is the square root of -16?
A -8i
B -4i
C 4i
D8i
Answer:
4i
Step-by-step explanation:
c or b i hope i helped you have a good day
Slope of (2,8) and (2,6)