Which of the expressions below are equal to 3x + 9y + 15? Select all that apply.
A) 3(x + y + 5)
B) 3(3x + 3y) + 15
C) 3(x + 3y + 5)
D) 3x + 3(3y + 5)
“A cylindrical bale of hay needs to be wrapped in plastic. It has a height of 9 ft. and a radius that is one-third of its height. How many square feet of plastic is needed?”
Answer:
A = 226.08
Step-by-step explanation:
Assuming that you are wrapping the sides of the cylinder and the circular top and bottom, then the formula for the surface area of the cylinder is:
A=2πrh+2πr^2 so substitute for each variable A=2(3.14)(3)(9) + 2(3.14)(3)^2
notice how I substituted 3 for the radius since it is 1/3 of 9 (the height)
Solving we get A = 169.56 + 56.52 = 226.08
Consider a linear time-invariant system with input autocorrelation Rx(τ)=sinc2((a+2)τ) and impulse response h(t)=rect(t−(a+1))). Determine the output energy spectral density ψy(f).
The output energy spectral density ψy(f) is \(sinc^2\)(f) * rect(f/(a+2)).
To determine the output energy spectral density ψy(f), we need to find the Fourier transform of the autocorrelation function Rx(τ) and multiply it by the magnitude squared of the Fourier transform of the impulse response H(f).
Given:
Rx(τ) = \(sinc^2\)((a+2)τ)
h(t) = rect(t-(a+1))
First, let's find the Fourier transform of Rx(τ):
Rx(f) = F{Rx(τ)} = F{\(sinc^2\)((a+2)τ)}
Using the property of the Fourier transform, the squared sinc function transforms to a rectangular function:
Rx(f) = rect(f/(a+2))
Next, let's find the Fourier transform of the impulse response h(t):
H(f) = F{h(t)} = F{rect(t-(a+1))}
Using the shifting property of the Fourier transform, we get:
H(f) = \(e^{-j2\pi f(a+1)\)sinc(f)
Now, we can calculate the output energy spectral density ψy(f) by multiplying the Fourier transforms of Rx(τ) and h(t):
ψy(f) = \(|H(f)|^2\) * Rx(f)
ψy(f) = \(|e^{-j2\pi f(a+1)}sinc(f)|^2\) * rect(f/(a+2))
Simplifying, we have:
ψy(f) = \(sinc^2\)(f) * rect(f/(a+2))
Therefore, the output energy spectral density ψy(f) is \(sinc^2\)(f) multiplied by a rectangular function centered at f/(a+2).
To learn more about spectral density here:
https://brainly.com/question/29220472
#SPJ4
When you are performing multiple transformations it is called?
When you are performing multiple transformations it is called a composite transformation.
A number of transformations or sequence of transformations that can be combined into a single transformation is called as composition. The resulting matrix is known as composite matrix. The process of combining is known as concatenation.
A composite transformation (or a composition of transformations) refers to the two or more transformations performed one after the other. For example: a translation followed by a reflection which is again followed by a rotation. Another example can be: a rotation followed by a translation or a rotation followed by a reflection.
Therefore, when you are performing multiple transformations it is called a composite transformation.
Learn more about composite transformation here:
https://brainly.com/question/27857623
#SPJ9
hi can someone please help
Answer:32
Step-by-step explanation:
Find the value of x that makes 25x^2 + 70x + c a perfect square trinomial
The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.
To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.
A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.
In this case, a = 25, so b = (1/2)(70) = 35.
Expanding (ax + b)^2, we have:
(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2
= 25x^2 + 70x + 1225.
Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.
Know more about quadratic expression here:
https://brainly.com/question/31368124
#SPJ11
3. A doctor prescribes 125mg of a drug that decays by 30% each hour. To the nearest hundredth of an hour, what is the half-life of the drug? (Start by finding an exponential decay model for the drug.)
The half-life of the drug is approximately 2.31 hours (to the nearest hundredth of an hour)
The exponential decay model is obtained by using the formula A(t) = A0ekt.
In this formula,
A(t) is the amount of the drug remaining after t hoursA0 is the initial amount of the drug k is the decay rate in units of h-1.t is the time elapsed in hours.
The amount remaining is decreasing by 30% per hour.
Therefore, the decay rate (k) is -0.3 or 0.3h-1.
The formula is now A(t) = A0ekt
Substitute the given information to get A(t) = 125 e0.3t
The half-life of a substance is the time required for the amount of substance to reduce by half.
We are looking for the time taken for the amount of drug remaining to be 62.5mg (which is half of 125mg).
We can substitute A(t) = 62.5 and solve for t as follows:
62.5 = 125 e0.3t0.5 = e0.3tt = ln(0.5)/0.3 ≈ 2.31 hours
Therefore, the half-life of the drug is approximately 2.31 hours (to the nearest hundredth of an hour)
Learn more about exponential decay model from this link:
https://brainly.com/question/29758328
#SPJ11
HELP ASAP PLEASE!!!!
Answer:
q=(1,5) t=(-2,3)r=(3,-1)s=(0,0)
Step-by-step explanation:
What is y=2(x-2)^2-2 in standard form
Answer:
Y= 2x^2-8x+6
Step-by-step explanation:
Hope this help :)
find the finance charge for a $25,000, three year loan with a 9.25% apr. How much interest is paid
Answer:
$6,937.50
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 25000(.0925)(3)
Use this situation for problems 1-4. (38)
Two siblings, Fran and George, are working hard to save money to go on a summer trip with their family.
Both started with some money, and they both have jobs where they are paid by the hour. The function
that models Fran's projected savings for the trip is f(t) = 20t+550. The function that models George's
projected savings for the trip is g(t) = 15t + 450.
1. What does f(t) = g(t) mean in this context?
2. What does f(t) + g(t) mean in this context?
3. Find a new function rule, h(t), that represents the amount of money Fran and George raise
together to contribute to the summer trip.
4. What is the y-intercept of the new function, h(t)? What does this mean in terms of the context?
HELPPP
1. In this context, f(t) = g(t) means that Fran and George will have saved the same amount of money for the summer trip at time t.
2; In this context, f(t) + g(t) represents the total combined savings of Fran and George at time t.
3. The new function rule h(t) is h(t) = 35t + 1000.
4 In this case, the y-intercept is 1000, which means they already have $1000 saved up before they began saving specifically for the summer trip.
How to explain the information1. It represents the point in time when their projected savings will be equal.
2. It is the sum of the amount of money Fran has saved (according to f(t)) and the amount of money George has saved (according to g(t)).
3. To find a new function rule, h(t), that represents the amount of money Fran and George raise together, we simply add their individual savings functions together:
h(t) = f(t) + g(t)
= (20t + 550) + (15t + 450)
= 35t + 1000
So the new function rule h(t) is h(t) = 35t + 1000.
4. The y-intercept of the new function, h(t), is the value of h(0), which can be calculated as:
h(0) = 35(0) + 1000
= 0 + 1000
= 1000
In terms of the context, the y-intercept of the function h(t) represents the amount of money Fran and George already have saved before they start working (at time t = 0). In this case, the y-intercept is 1000, which means they already have $1000 saved up before they began saving specifically for the summer trip.
Learn more about functions on
https://brainly.com/question/11624077
#SPJ1
HELP PLEASE GIVE YOU BRAINLYEST
Answer:
7, 4
Step-by-step explanation:
A pair of dice is rolled what
is the probability of getting
a sum less than 6
Answer:The easiest method is to draw a possibility space first. The grid shows the totals for two dice. There are: 6×6=36 possible outcomes. Of these there are 10 totals which are less than 6 .
Step-by-step explanation:
pls give me brainliest and have a good day and night:)
ANYONE SMART IN MATH??? PLEASE TRY SOLVING THX
9514 1404 393
Answer:
356091.7Step-by-step explanation:
Horizontally the table values total the number in the first column.
first row missing table value = 700 -665 = 35
second row missing table values = 300 -240 = 60
__
The conditional probability formula applies.
P(contains | positive) = P(contains & positive)/P(positive)
The probability associated with each table entry is that value divided by 1000. Then the numbers in the formula are ...
P(contains | positive) = .665/(.665+.060) = .665/.725 ≈ 91.7%
\(\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star\)
35
3591.7
3591.760
Step-by-step explanation:
Horizontally the table values total the
number in the first column.
first row missing table value = 700-665
second row missing table values = 300
-240 60
35
The conditional probability formula
applies.
P(contains I positive) = P(contains &
positive)/P(positive)
The probability associated with each
table entry is that value divided by 1000.
Then the numbers in the formula are ..
.665/.725 91.7%
P(contains I positive) = 665/(665+.060)
What is 7 1/5 + -3/5
Answer:
33/5
Step-by-step explanation:
I believe this is the answer
Answer:
\(7\frac{1}{5} + \frac{ - 3}{5} = \frac{36}{5} + \frac{3}{5} = \frac{39}{5} \)
I HOPE IT IS HELPFUL
Solve for an angle in right triangles
Answer:
26°
Step-by-step explanation:
use the inverse trig functions (in this case, sin^-1)
sin^-1(4/9)
Answer:
26.39
Step-by-step explanation:
khan
help! giving out extra points and brainlist ☀️
Answer:
Slope is: 2/10x
Y-intercept is: (0,2)
Equation: y=2/10x+2
Step-by-step explanation:
OK
Penny sells hot dogs from a cart at the beach. Her daily income, s, varies directly as the number of hot dogs, h,
that she sells, and s = $255.50 when
h = 73. Find h when s = $304.50.
First we will find the cost of 1 hot dog!!
Here, We are given;Cost of 73 hot dogs is $255.5Divide the cost of hot dogs by number of hot dogs:
\( \sf \frac{255.5}{73} = 3.5\)
So, The cost of 1 hot dog is $3.5...
Now, The number of hot dogs multiplied by 3.5 is 304.5
\( \sf \: x \times 3.5 = 304.5 \\ \sf \: x = \frac{304.5}{3.5} \\ \boxed{ \tt \: x = 87}\)
Thus, She sold 87 hot dogs!!
Graph the equations to solve the system.
y = 2x - 6
y = -x-3
Click on the correct answer.
no solution: 0
solutions, all
numbers on the line
one solution: {0,-3)
one solution: (1.-4)
Answer:
one solution: (1.-4)
Step-by-step explanation:
y = 2x - 6...... (1)
y = -x-3......(2)
Plug y = -x-3 in equation (1)
2x - 6 = - x - 3
2x + x = 6 - 3
3x = 3
x = 3/3
x = 1
Plug x = 1 in equation (2)
y = - 1 - 3
y = - 4
(x, y) = (1, - 4)
is this the correct answer?
Answer:
Yes that answer is correct
Step-by-step explanation:
Im literally god
below is a cumulative algorithm using an array and a range-based loop. what is printed? (assume this is inside main() with all includes, etc.)
Without seeing the algorithm, it is impossible to provide an answer.
The question states that there is a cumulative algorithm using an array and a range-based loop, but the actual algorithm is not provided. Therefore, without knowing what the algorithm is doing or what values are being used, it is impossible to determine what will be printed.
The question is incomplete as it does not provide the cumulative algorithm that is being referred to. Therefore, no answer can be provided without additional information.
That without the specific algorithm and code snippet, I am unable to determine what will be printed. For a proper explanation, please provide the cumulative algorithm using an array and a range-based loop that you mentioned.
To know more about algorithm visit :-
https://brainly.com/question/28724722
#SPJ11
Formal proof organized by statements and reasons in logical order of
statements with reasons using theorems, properties or definitions for each
statement.
WILL GIVE BRAINLIEST
Answer:
3
Step-by-step explanation:
These are similar triangle
We can use ratios to solve
12 12+4
------ = ----------
9 9+DC
Using cross products
12( 9+DC) = 9*(12+4)
12 (9+DC) = 9*16
Divide each side by 12
12/12 (9+DC) = 9*16/12
9+DC = 12
Subtract 9 from each side
9+DC-9 =12-9
DC =3
Answer:
3 units
Step-by-step explanation:
We can see that triangle ADE is similar to triangle ACB.
Therefore the ratios of the lengths of their sides must be equal.
We can write AD/AC = AE/AB
we are given AD = 9, AE = 12 and AB = 12 + 4 = 16
Substituting the above values into the equation:
AD/AC = AE/AB
9 / AC = 12/16 (rearranging)
(AC)(12) = (9)(16)
AC = (9)(16)/12
AC = 12
We can also see that
DC = AC - AD
DC = 12 - 9
DC = 3 units
what’s the answer? (picture)
6 ft
2 ft
2 ft
2 ft
10 ft
Area:
Perimeter:
Answer:
perimeter: 22ft
area: \(480ft^2\) be warned, i dont know if the are is correct but that is what I calculated.
Step-by-step explanation:
The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.
OVERDUE PLEASE HELP OR I’LL CRY
Answer:
x = 9
Step-by-step explanation:
combine all the equations and set it equal to 360
10x+ 7 + 88 + 127 + 5x+3 = 360
then combine like terms
15x + 225 = 360
then solve the equation by moving 225 to the right side of the equation
15x = 135
divide both sides by 15
x = 9
URGENTTTT PLS PLS PLS PIFHCHIDFCHI. How do you write 5x^2-14-3x2 in standard form?
Subtract 7x^2 - 5x from 10x + 2. Answer in standard form.
(7x-1)times(x-2)
Step-by-step explanation:
Hey there!
ANSWER: \(-7x^2+10x+2\)EXPLANATION:Let's simplify.
\(10x+2-7x^2\)
\(10x^2+10x+2\)
The answer we get is \(-7x^2+10x+2\).
Hope this helps! :)
\(\text{-TestedHyperr}\)
Peyton has n nickels and d dimes. She has no less than 21 coins altogether.
Write this situation as an inequality.
Answer:
i have the same ? need help:(
Step-by-step explanation:
Va rog sa ma ajutati
Answer:
what is the question
Step-by-step explanation: