Given:
The equation is
[tex]P=350+75t[/tex]
Where, P be the total amount of money Carter would have to pay to use the studio for t hours.
To find:
The y-intercept and it's interpretation in the context of the problem.
Solution:
We have,
[tex]P=350+75t[/tex]
At t=0, we get
[tex]P=350+75(0)[/tex]
[tex]P=350+0[/tex]
[tex]P=350[/tex]
Therefore, the y-intercept is 350 and it means the initial fee of the studio is 350 when the number of hours is 0.
the reason physical state affect the rate of a chemical rection
Answer:
Usually reactions speed up with increasing temperature. Physical state of reactants. Powders react faster than blocks - greater surface area and since the reaction occurs at the surface we get a faster rate. The presence (and concentration/physical form) of a catalyst (or inhibitor).
Step-by-step explanation:
Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.
y = 3 − 3x^2, y = 0
Answer: [tex]9.6\pi[/tex]
Step-by-step explanation:
Given
Curve is [tex]y=3-3x^2[/tex]
boundary is y=0 i.e.
[tex]\Rightarrow 0=3-3x^2\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]
The volume of solid generated when rotated about the x-axis is
[tex]\Rightarrow V=\int_a^b\pi y^2dx[/tex]
Putting values we get
[tex]\Rightarrow V=\int_{-1}^{1}\pi (3-3x^2)^2dx\\\\\Rightarrow V=\int_{-1}^{1}\pi(9+9x^4-18x^2)dx\\\\\Rightarrow V=\pi \left [ \frac{9x^5}{5} - 6 x^3 + 9 x\right ]_{-1}^{1}\\\\\Rightarrow V=9.6\pi[/tex]
Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x2 – 3x – 20x + 4. Her work is shown below.
(15x2 – 3x) + (–20x + 4)
3x(5x – 1) + 4(–5x + 1)
Talia noticed that she does not have a common factor. What should she do?
Talia needs to leave the polynomial as is because it is prime and cannot be factored.
Talia needs to group the terms differently.
Talia needs to factor out a negative from one of the groups so the binomials will be the same.
Talia needs to apply the distributive property to get the expression (3x + 4)(5x – 1).
Answer:
Talia needs to factor -1 out of one of the two binomials
Step-by-step explanation:
She could take:
3x(5x - 1) + 4(-5x + 1)
and rewrite it as:
3x(5x - 1) - 4(5x - 1)
= (3x - 4)(5x - 1)
Answer:
The answere is C.
Step-by-step explanation:
It is right on edge
A submarine descended 15 meters in 3 minutes. On average, how many meters did the submarine's position change per minute?
Answer:
5 meters per minute.
Step-by-step explanation:
Please help and this is easy?!?
Answer: You are correct.
Step-by-step explanation: If you changed the amount of seats then it would effect the amount of tickets sold
2 cot^2t sin t - cot^2t = 0
2 cot²(t ) sin(t ) - cot²(t ) = 0
cot²(t ) (2 sin(t ) - 1) = 0
cot²(t ) = 0 or 2 sin(t ) - 1 = 0
cot(t ) = 0 or sin(t ) = 1/2
cos(t ) / sin(t ) = 0 or sin(t ) = 1/2
cos(t ) = 0 or sin(t ) = 1/2
[t = cos⁻¹(0) + 2nπ or t = cos⁻¹(0) - π + 2nπ]
or [t = sin⁻¹(1/2) + 2nπ or t = π - sin⁻¹(1/2) + 2nπ]
(where n is any integer)
t = π/2 + 2nπ or t = -π/2 + 2nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
Note that the first two families of solutions overlap and can be condensed, so that
t = π/2 + nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
I need this answer fast pls help
Plz answer....,.......................
Answer:
B and C
Step-by-step explanation:
Not A because the side lengths aren't multiples.
Not D because it would be congruent, unless it had different angles, but then similar shaps must have the same angles
Good luck <3
Kenji is playing the video game Dragon Tamer, where players go on adventures finding and training dragons. In the first level of the game, he gets 10 points for finding a Silverthorn Dragon but gets
–
6 points when it scorches him with fire.
I really need point
Find the length of segment VM, if the length of segment NT = 14, segment MU = 8 and segment VT =
42.
Answer: VM = 16
Step-by-step explanation:
Find The Slope Of The Line.
1/3
3/1
6/2
-3/1
Which of the following is the solution to the differential equation dy/dx=2xy/x^2+1 whose graph contains the points (0,1)?
A. y=ex^2
B. y=x^2+1
C. y=ln(x^2+1)
D. y=1+ln(x^2+1)
E. y=sqrt(1+2ln(x^2+1))
Answer:
B. y = x² + 1
General Formulas and Concepts:
Symbols
e (Euler's number) ≈ 2.7182Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsAlgebra II
Logarithms - ln and eCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Slope Fields
Solving Differentials - Integrals
Integration Constant C
U-Substitution
ln Integration: [tex]\displaystyle \int {\frac{1}{x}} \, dx = ln|x| + C[/tex]
Step-by-step explanation:
*Note:
When solving differential equations in slope fields, disregard the integration constant C for variable y.
Step 1: Define
[tex]\displaystyle \frac{dy}{dx} = \frac{2xy}{x^2 + 1}[/tex]
Point (0, 1)
Step 2: Rewrite Differential
Rewrite Leibniz Notation using Separation of Variables.
[Separation of Variables] Isolate x's together: [tex]\displaystyle dy = \frac{2xy}{x^2 + 1}dx[/tex][Separation of Variables] Isolate y's together: [tex]\displaystyle \frac{1}{y}dy = \frac{2x}{x^2 + 1}dx[/tex]Step 3: Integrate Pt. 1
Solving general form of differential using integration.
[Differential] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y}} \, dy = \int {\frac{2x}{x^2 + 1}} \, dx[/tex][Left Integral] ln Integration: [tex]\displaystyle ln|y| = \int {\frac{2x}{x^2 + 1}} \, dx[/tex]Step 4: Identify Variables
Set up u-substitution for right integral.
u = x² + 1
du = 2xdx
Step 5: Integrate Pt. 2
[Right Integral] U-Substitution: [tex]\displaystyle ln|y| = \int {\frac{1}{u}} \, du[/tex][Right Integral] ln Integration: [tex]\displaystyle ln|y| = ln|u| + C[/tex]Back-Substitute: [tex]\displaystyle ln|y| = ln|x^2 + 1| + C[/tex][Equality Property] Raise e on both sides: [tex]\displaystyle e^{ln|y|} = e^{ln|x^2 + 1| + C}[/tex]Simplify: [tex]\displaystyle |y| = C|x^2 + 1|[/tex]General Form: [tex]\displaystyle |y| = C|x^2 + 1|[/tex]
Step 6: Solve Particular Solution
Since both sides have absolute value, assume that the particular solution will be positive.
Substitute in point [General Form]: [tex]\displaystyle |1| = C|(0)^2 + 1|[/tex][Particular] |Absolute Value| Evaluate exponents: [tex]\displaystyle |1| = C|1|[/tex][Particular] Evaluate absolute values: [tex]\displaystyle 1 = C[/tex][Particular] Rewrite: [tex]\displaystyle C = 1[/tex]Substituting integration constant C into the general form:
Particular Solution: [tex]\displaystyle y = x^2 + 1[/tex]
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials and Slope Fields
Book: College Calculus 10e
-2(x+2)=1/4(-8x-16) how many solutions does it have
Answer:
many or few
Step-by-step explanation:
scan this code
What is d?
2/3 x d = 40
Answer:
60
Step-by-step explanation:
2/3*d=40
d=40*3/2
d=60
Determine if the ordered pair (-2, -4) is a solution of
5x - 2y = -2.
Show ALL your work here
Add the words that complete the thought in the underlined sentence
Of the artwork would be the best answer because the context clue of Main Street!
Answer:
Of the artwork
Step-by-step explanation:
I got it right on the quiz
You and a friend go to Tacos Galore for lunch. You order three soft tacos and five burritos and your total bill is $17.75. Your friend orders four soft tacos and two burritos and paid $12.00.
Answer:
Step-by-step explanation:
let tacos be x and burritos be y
so, your 1st eqn. is 3x + 5y = 17.75
2nd eqn. is 4x+ 2y = 12
Solving the 2 eqns: Multiply eqn 1 with 2 and eqn 2 with 5
So: 6x+10y=35.5
-20x-10y=-60
=-14x=-24.5
x=24.5/14 = 1.75
Substituting the value of x in eqn 1 : (3*1.75)+5y=17.75
y = 2.5
I’ll give brainliest, i need to know the math done to get the answer. Need answers ASAP !!
Answer:
Approximately $242,000
13 yd
5 yd
11 yd
9 yd
6 yd
BE
?
Answer:
? measures (13 - 9) or 4 yards
Step-by-step explanation:
A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
A. 40 units^2
B. 56 units^2
C. 24 units^2
D. 16 units^2
The surface area of the cone is 16π square units.
What is the surface area of the cone?The surface area of the cone is given by;
⇒ Area = πrl + πr²
Here, We have;
A right cone has a slant height of 6 and a radius of 2.
Substitute all the values in the formula
⇒ Area = πrl + πr²
⇒ Area = π x 2 x 6 + π x 2²
⇒ Area = 16π
Hence, The surface area of the cone is 16π square units.
Learn more about the surface area here;
brainly.com/question/2835293
#SPJ5
Please help I’ll give you points! And mark you BRAINLY!!
Answer:
The answer = (-5,3)
Step-by-step explanation:
your welcome
Answer:
Point form: (-5,3)
Equation form: x=-5 y=3
Step-by-step explanation: Hope it helps ;)
Prove: The difference of the reciprocals
of two successive integers equals the
product of their reciprocals.
1
1
-
n
n + 1
[?]
n(n + 1)
[ ].[
n n+1
Step-by-step explanation:
let two successive integers n, n+1
difference of the reciprocals:
[tex]\frac{1}{n}-\frac{1}{n+1} \\=\frac{(n+1)-n}{(n)(n+1)}\\=\frac{1}{(n)(n+1)}\\=\frac{1}{(n)}\frac{1}{(n+1)}\\[/tex]
The cube root of a number is 2. Write an equation, using x, that represents this situation.
Answer:
x - 8 = 0
Step-by-step explanation:
Since, the cube root of a number is 2.
Let the number be x.
Therefore,
[tex] \sqrt[3]{x} = 2 \\ cubing \: both \: sides \\ {( \sqrt[3]{x})}^{3} = {(2)}^{3} \\ x = 8 \\ x - 8 = 0[/tex]
y=-0.011x+40.604y = − 0.011 x + 40.604
1) What is the slope of the line in the scatter plot?
2) What is the meaning of the slope in that situation?
Answer:
0.11×11%×40.60%×4=0.11×+40%.604
A family picture is 4 in wide and 6 in long. The photographer is going to enlarge the photo to be 9 in. long.
How wide wil the enlarged choto be?
Enter your answer the box
help meh plsssssssccsa
Answer:
I think 235.5 mm cubed
Step-by-step explanation:
The formula for the volume of a cone is V=1/3hπr².
1/3 x 9 x π x 5² =
1/3 x 9π x 25 =
1/3 x 225π =
75π
let's say π=3.14
75 x 3.14 = 235.5
Mr. D'Angelo hired a painter to paint the outside of his house green. The painter must mix 3 gallons of blue paint with every 5 gallons of yellow paint in order to make the correct shade of green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the correct shade of green paint?
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
3 gallons of blue paint and 5 gallons of yellow paint and this answer is a fraction so [tex]\frac{3}{5}[/tex] is the answer.
evaluate function expression 5xf(1) + 5xg(9)
Answer:
5x(f+9g)
Step-by-step explanation:
5xf(1)+5xg(9)
Factor out 5.
5(xf+9xg)
Consider xf+9xg. Factor out x.
x(f+9g)
Rewrite the complete factored expression.
5x(f+9g)
Graph if needed:
(2x -5) - 1.75(x+4) simplify
Step-by-step explanation:
=0.25x-12 I hope this helped:)
Answer:
0.25x−12
Step-by-step explanation:
(2x−5)−1.75(x+4)
Use the distributive property to multiply −1.75 by x+4.
2x−5−1.75x−7
Combine 2x and −1.75x to get 0.25x.
0.25x−5−7
Subtract 7 from −5 to get −12.
0.25x−12
Kash bought 6 notebooks for $15.00. How many notebooks can his sister buy with $10.00?
Answer:
4
Step-by-step explanation:
Making this problem into a proportion we get:
6/$15 = x/$10
Cross multiply 10 and 6, we get 60. Now divide that by 15, you get 4.