Use the Laplace transform to solve differential equation
dx/dt + 7x = 5cos(2t)
Initial conditions: x(0) = 4, x'(0) = -4
Assume forcing functions are 0 prior to t = 0- ...?
What times what equals 80.73
if your mother has 3 cows how many cows do you need to make 5 cows
If arc CE= 40°, and m∠CDE = 30°, what is arc AB ?
A) 70°
B) 100°
C) 140°
D) 20°
Answer:
B is the right answer [tex]100^{o}[/tex]
Step-by-step explanation: Hope This Helps ;)
dy/dx ln(xy)=e^(x+y)
In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation?
1
2
0.5
-0.5
Answer:
The diameter of B is from -2 to 2, which = 4 units.
The diameter of B' is from -1 to 1, which equals 2 units.
2/4 = 1/2 = 0.5 scale factor.
The answer is C. 0.5
Step-by-step explanation:
A percent is the result of a number being expressed as a fraction of 100. True or False? ...?
Answer:
True
Step-by-step explanation:
Percentage is expressed as the part from 100.
Thus, Percentage sign means divide by 100.
Also, it is the resultant number when divided by 100.
Thus, the given statement is absolutely true.
How are mc091-2.jpg and mc091-3.jpg related?
20 is 30% of what number
the function f is defined by f(x)=x2+3x-10
if f(x+5)=x2+kx+30, k=____________(<<
what is the recursive rule for the sequence f(n)=2+(-3)(n-1)?
The recursive rule for the sequence f(n) = 2 + (-3)(n-1) is f(1) = 2 and f(n) = f(n-1) - 3 for n > 1, where each term is 3 less than the previous term.
The given sequence can be expressed as a recursive formula. A recursive formula defines each term of a sequence using the preceding term(s). To find the recursive rule for the sequence f(n) = 2 + (-3)(n-1), let's write out the first few terms:
f(1) = 2 + (-3)(1-1) = 2f(2) = 2 + (-3)(2-1) = -1f(3) = 2 + (-3)(3-1) = -4f(4) = 2 + (-3)(4-1) = -7Examining the pattern, each subsequent term is 3 less than the previous term. Thus, the recursive rule is:
f(1) = 2f(n) = f(n-1) - 3 for n > 1This means that, to get the next term in the sequence, we subtract 3 from the previous term, starting with the second term.
A surveyor, standing 100 ft. from the base of a building, measures the angle of elevation to the top of the building to be 75 degrees. How accurately must the angle be measured for the percentage error in estimating the height of the building to be less than 4%?
Chloe rolls two six-sided number cubes and adds the numbers showing on the cubes. What is the probability that the sum of the number cubes is even or five?
A)22/36
B)18/36
C)4-36
D)72/1296
Answer:
you would be right if you × it then it would be D but you always + so if you do 4/36 + 18/36= 11/18 is your answer
What is another way to write 250,000 ml?
PLEASE HELP.
The polynomial 16x + 2 is a ___ . Adding the term ____ to the polynomial would make it a trinomial.
1. a) monomial b) binomial c) trinomial
2.) a) xy b) 5 c) 3x
The polynomial 16x+2 is a binomial.
Adding the term xy to the polynomial would make it a trinomial.
What is monomial?A polynomial with exactly a single term is called monomial.What is trinomial?A polynomial with three terms is called trinomial.Hence, the polynomial 16x+2 is a binomial.
Adding the term xy to the polynomial would make it a trinomial.
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Which of the following are zero-dimensional or one-dimensional figures.? (Check all that apply)
A. Point
B. Angle
C. Ray
D. Plane
E. Segment
F. Line
In geometry, zero-dimensional figures do not extend in any direction and include 'points', while one-dimensional figures extend in one direction and include 'lines', 'segments', and 'rays'. Therefore, the zero or one-dimensional figures in the given options are 'point', 'line', 'segment', and 'ray'.
Explanation:In geometry, quantities can be zero, one, two, or three dimensional. Zero-dimensional figures are those that do not extend in any direction. The only such geometric figure is a point (Option A). One-dimensional figures, on the other hand, extend in one direction. These include a line (Option F), a segment (Option E), and a ray (Option C), all of which have length but no breadth or height. Therefore, the zero-dimensional or one-dimensional figures from the given options are point, line, segment, and ray.
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PLEASE HELP!!
Oscar entered y=−0.4^x+3y=−0.4^x+3 into an online graphing tool.
What function did he graph?
y=(−0.4)x+3y=(−0.4)x+3
y=(−0.4)x+3y=(−0.4)x+3
y=−(0.4)x+3y=−(0.4)x+3
y=−(0.4)x+3
An Antique vase is projected to be worth $1000 in 2 years and $1,300 after 5 years. If the value continues to appreciate at the same rate, what will it be worth in 8 years?
The value of the antique vase after 8 years with a consistent appreciation rate, it would amount to $1,600.
An antique vase:
Value after 2 years: $1,000
Value after 5 years: $1,300
To find the value after 8 years, we can assume a constant rate of appreciation:
In 8 years, the value will be: $1,000 + ($1,300 - $1,000) = $1,300 + ($1,300 - $1,000) = $1,600
Help With Number 8 Please?
find all the zeros of the function y=x^3+6x^2+x+6
The zeros of a function are the values of x for which the function equals zero. The function given here is a cubic function, and finding its zeros can be complex, often requiring numerical methods or advanced mathematical approaches like the cubic formula.
Explanation:This problem deals with finding the zeros of the cubic function y=x^3+6x^2+x+6. A zero of a function is a value of x for which the function equals zero. You can find the zeros of this function by setting the equation equal to zero and solving for x.
Unfortunately, this particular cubic equation does not have an easy solution using basic algebraic methods. We can't factor it in an easy and straightforward manner. However, you can use numerical methods, or online calculator tools, to get an approximate value for the zeros. Alternatively, you can use the cubic formula (somewhat similar to the quadratic formula), but this requires knowledge of more advanced mathematics.
Please consult your teacher or textbook for more detailed instructions on how to use higher level methods to solve cubic equations. Remember that each method has its own level of accuracy and complexity, so choose the method that best suits your abilities and the requirements of your task.
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If a satellite launch has a 97% chance of success, what is the probability of three consecutive successful
launches? ...?
Answer: The required probability of three consecutive successful launches is 91.27%.
Step-by-step explanation: Given that a satellite launch has a 97% chance of success.
We are to find the probability of three consecutive successful launches.
Let P(A) denotes the probability of the event of the success of the satellite launch.
Then, according to the given information, we have
[tex]P(A)=97\%=\dfrac{97}{100}=0.97.[/tex]
Therefore, the probability of three consecutive successful launches will be
[tex]p\\\\=P(A)\times P(A)\times P(A)\\\\=0.97\times0.97\times0.97\\\\=0.912673\\\\=0.912673\times100\%\\\\=91.2673\%\\\\=91.27\%.[/tex]
Thus, the required probability of three consecutive successful launches is 91.27%.
Oscar Montez’s savings account has a principal of $7,201. It earns 6% interest compounded quarterly. What is the amount of interest he earned by the end of the second quarter?
solve for X. y=1/4 (x)+3
Gracie Shay wants to buy a new Hummer in 5 years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now, at a rate of 6 percent compounded semiannually, she:
1.Will have enough money
2.Will have exactly $16,000
3.Will have $18,000
4.Will have $16,126.80
5.None of these
...?
Answer:
Option 4 - She will have $16,126.80
Step-by-step explanation:
Given : Gracie Shay wants to buy a new Hummer in 5 years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now, at a rate of 6 percent compounded semiannually.
To find : Which option she will have ?
Solution :
Using compound interest formula,
[tex]A=P(1+r)^t[/tex]
Where, A is the amount
P is the principle P=12,000
Compounded semiannually,
r is the rate 6%=0.06
[tex]r=\frac{0.06}{2}=0.03[/tex]
t is the time 5 years
[tex]t=5\times 2=10[/tex]
Substitute the value,
[tex]A=P(1+r)^t[/tex]
[tex]A=(12000)(1+0.03)^{10}[/tex]
[tex]A=12000\times (1.03)^{10}[/tex]
[tex]A=12000\times 1.3439[/tex]
[tex]A=16126.99[/tex]
The amount she will have $16126.99.
Therefore, Option 4 is correct.
Tell whether the sequence is arithmetic. If it is identify the common difference
30. -15,-5,5,15….
Six times the sum of a number and twelve is forty.
Which equation represents this?
6N + 12N = 40
6N + 12 = 40
6(N + 12) = 40
Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?
a.) y – 12 = –5(x + 2)
b.) y – 12 = 2(x + 2)
c.) y + 12 = 2(x – 2)
d.) y + 12 = –5(x – 2)
Which of the following statements is true?
A.A radius is always a chord.
B.A tangent is always a secant.
C.A diameter is always a chord.
D.A chord is always a diameter.
Please help
Solve. 3x2 + 4x = –5
using quadratic equation ...?
Kurt johnson delivers packages for a delivery company. he receives $7.50 for every package delivered. what does kurt earn in a week if he delivers 48 packages? 360.00 405.00 555.00 640.00
Answer:
He earned $ 360.00.
Step-by-step explanation:
Given,
The amount he gets for a package of delivery = $ 7.50
The number of packages he delivered in a week = 48,
Hence, the amount he earned in the week = The amount he gets for a package of delivery × The number of packages he delivered
= 7.50 × 48
= $ 360.00