Answer:
$4 an hour
$12/ 3hrs= $4/hr.
$36/ 9hrs= $4/hr.
Step-by-step explanation:
Answer:
$4 per hour.
Step-by-step explanation:
4 multiplied by 3 is 12 and 9 multiplied by 4 is 36.
Let x(n) be the scquence of x(n)=2δ(n)+δ(n−1)+3δ(n−2)+δ(n−3) The fre-point DFT of x(n) is computed and the resulting sequence is squared, such that Y(k)=X^2(k) Find the sequence y(n).
The sequence y(n) can be found by computing the discrete Fourier transform (DFT) of the given sequence x(n), squaring the resulting DFT sequence X(k), and then taking the inverse DFT to obtain y(n).
Given the sequence x(n) = 2δ(n) + δ(n−1) + 3δ(n−2) + δ(n−3), where δ(n) represents the Dirac delta function, we can compute its DFT to obtain the sequence X(k).
The DFT of x(n) is defined as X(k) = Σ[x(n) * e^(-j2πn*k/N)], where N is the length of the sequence.
By substituting the values of x(n) into the DFT equation, we can compute the DFT sequence X(k).
Next, we square the DFT sequence X(k) to obtain Y(k) = X^2(k), where each element of Y(k) is the square of the corresponding element in X(k).
Finally, we take the inverse DFT of Y(k) to obtain the sequence y(n).L
Taking the inverse DFT involves reversing the sign of the exponent in the DFT equation and dividing by N, i.e., y(n) = (1/N) * Σ[Y(k) * e^(j2πn*k/N)].
By performing this calculation, we obtain the sequence y(n) as the final result.
It is important to note that the actual calculations involved in computing the DFT, squaring the sequence, and performing the inverse DFT are best implemented using numerical methods or programming techniques.
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let :ℝ→ℝf:r→r be defined by ()=8−7f(x)=8−7x. is f a linear transformation?
The function f(x) = 8 - 7x is not a linear transformation.
To determine if the function f: ℝ → ℝ defined by f(x) = 8 - 7x is a linear transformation, we need to check if it satisfies the following two conditions:
1. Additivity: f(x + y) = f(x) + f(y) for all x, y ∈ ℝ
2. Homogeneity: f(cx) = cf(x) for all x ∈ ℝ and all scalars c
Check additivity
f(x + y) = 8 - 7(x + y) = 8 - 7x - 7y
f(x) + f(y) = (8 - 7x) + (8 - 7y) = 8 - 7x + 8 - 7y = 16 - 7x - 7y
Since f(x + y) ≠ f(x) + f(y), the function f does not satisfy additivity.
Therefore, the function f(x) = 8 - 7x is not a linear transformation.
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....Help please I need help I-
10^-5 = 1/100,000
10^20 = 100,000,000,000,000,000,000
10^-12 = 1/1,000,000,000,000
10^0 = 1
10^3 = 1,000
10^-85 = a very tiny number (basically 0)
Answer: 10^-85, 10^-12, 10^-5, 10^0, 10^3, 10^20
You can also see that it goes in order so the higher the power, the larger the number.
Two small bubbles that each have a radius of 3
centimeters collide and merge into one large bubble. The area of
the large bubble is equal to the sum of the areas of the two small
bubbles. To the nearest centimeter, what is the radius of the large
bubble?
Use 3.14 for Pi
find area of 1 small bub
πr² = 3.14 × 3²
= 28.26 cm
area of 2 small bub
28.26 × 2 = 56.52 cm
area of big bub = area of 2 small bub
= 56.52
find radius by using formula
πr² = 56.52
r² = 56.52 ÷ 3.14
r² = 18
r = √18
r = 4.24 cm
round off to nearest cm
4.24 ≈ 4 cm
Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: –5.7 –4 –1 –0.7
Answer:
-5.7
Step-by-step explanation:
OUR EQUATION IS A QUADRATIC EQUATION
Let Δ be our dicriminant :
a= 1b= 5c= -4Δ= 5²-4*1*(-4) =25 +16 =41≥0so we have two solutions x and y x= (-5-√41)/2 = -5.778.57142857 round up
Answer:
It would be 79 as a whole number.
Step-by-step explanation:
78.5714857, you look at the number to the right to see if it is 5 or greater or less than 5.
If it is 5 or greater than. You would round it to 79
If not greater than 5. You round it down to 78 still.
Which of the following best describes the relationship between the number of miles a person runs and the number of calories he/she burns?
A. neither correlation nor causation
B. correlation and causation
C. correlation without causation
D. causation without correlation
can you pls help me i really need help
Answer:
UMM SO IM NOT CERTIAN BUT IMMA DO MY BEST
Step-by-step explanation:
SO 1 WOULD BE: 12X1.5 AND THATS 18
AND 2 IS: 16X1818 AND THATS 29088
AND THREE IS: 28 DIVIDED BY 4 WHICH IS 7
AND THEN 4 IS: 32 DIVIDED BY 8 WHICH IS 4
Find the output value of the function. f(x)=5x-8 for f(7)
Answer:
27
Step-by-step explanation:
f(x) = 5x - 8
f(7) = 5(7) - 8 = 27
Answer:
27
Step-by-step explanation:
f(x)=5x-8
Let x=7
f(7) = 5*7 -8
=35-8
27
help me with this for geometry please
Answer:
57 units
Step-by-step explanation:
So the step is we need to find out the scale factor
And the scale factor is 24/8 =3
So the parameter of ANG is
19×3
=57
Scott did an experiment in which he flipped a coin 100 times. His coin landed on heads 40 times and tails 60 times. What conclusions could your draw from Scott’s experiment?
Select all that apply:
A. Scott did not do the experiment right.
B. The experimental findings are close to the theoretical probability of 50%.
C. There must have been a mistake in Scott’s data since the experimental probability is not close to the theoretical probability.
D. You cannot draw a conclusion about the experiment unless you do it yourself.
E. If Scott performed more trials and flipped the coin 1000 times, the experimental probability would be expected to be closer to the theoretical probability of 50%
Please help me, I don't really understand this. It's due today, also please show your work. I'm giving 50 points for this problem.
Answer:
1) 20 % decrease
2)21% decrease
3)8% increase
4)39.9% increase
5)23 % increase
6) 43.3 decrease
Step-by-step explanation:
Multiply. Write your answer as a fraction in simplest form.7x5201Х5?
5 can be written as 5/1, then:
\(\frac{7}{20}\cdot5=\frac{7}{20}\cdot\frac{5}{1}\)When multiplying fractions, numerators multiply each other and denominators multiply each other, that is:
\(\frac{7}{20}\cdot\frac{5}{1}=\frac{7\cdot5}{20\cdot1}=\frac{35}{20}\)This result can be simplified by dividing numerator and denominator by 5, as follows:
\(\frac{35}{20}=\frac{\frac{35}{5}}{\frac{20}{5}}=\frac{7}{4}\)7/4 is the final answer
A person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon. Find the weight of a person on Earth who would weigh 15 pounds of the moon
Answer:
93.75 pounds
Step-by-step explanation:
Set up a proportion where x is the weight of a person on Earth:
\(\frac{200}{32}\) = \(\frac{x}{15}\)
Cross multiply and solve for x
32x = 3000
x = 93.75
So, the person would weigh 93.75 pounds on Earth
On Earth, a person weighing 93.75 pounds would weigh around 15 pounds on the moon.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
If a person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon, we can set up the following proportion to find the weight of a person on Earth who would weigh 15 pounds on the moon:
200 pounds : 32 pounds = x pounds : 15 pounds
200 pounds / 32 pounds = x pounds / 15 pounds
⇒ 200/32 = x/15
Apply the Cross-multiplication operation, we get:
⇒ 200 × 15 = 32 × x
Solving for x, we get:
⇒ x = (200 × 15) / 32
⇒ x = 3000/32
Apply the division operation
⇒ x = 93.75 pounds
Therefore, a person who weighs 93.75 pounds on Earth would weigh about 15 pounds on the moon.
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Simplify the following expression: 15 POINTS
5(-9 + 2x) + 6(8 - 9x)
ASAP PLEASE FAST
3-44x
hope that helped if yes give me brainliest and if no draw my attention by hitting the comment section
• If A is a 3 x 3 matrix with det(A) = 5, find det(2(adj A)).
Given that det(A) = 5, the determinant of 2(adj A) is 200.
To find the determinant of 2(adj A), we need to understand the properties of the adjugate matrix and the determinant.
First, let's define some terms:
A is a 3 x 3 matrix.
adj(A) represents the adjugate matrix of A, which is obtained by taking the transpose of the cofactor matrix of A.
det(A) is the determinant of matrix A.
We are given that det(A) = 5. This means that the determinant of matrix A is equal to 5.
To find the determinant of 2(adj A), we can use the following property of determinants:
det(kA) = k^n * det(A), where k is a scalar and A is an n x n matrix.
In this case, k = 2 and A = adj(A), which is a 3 x 3 matrix. Therefore, we have:
det(2(adj A)) = (2^3) * det(adj A).
Since adj(A) is a matrix obtained by taking the transpose of the cofactor matrix of A, multiplying it by 2 will simply multiply each element of the cofactor matrix by 2. Hence, the determinant of adj(A) will also be multiplied by 2^3 = 8.
Therefore, we can write:
det(2(adj A)) = (2^3) * det(adj A) = 8 * det(adj A).
We know that det(adj A) is equal to the determinant of A raised to the power of (n-1), where n is the dimension of the matrix. In this case, n = 3, so we have:
det(adj A) = det(A)^(n-1) = det(A)^2 = 5^2 = 25.
Substituting this back into our equation, we get:
det(2(adj A)) = 8 * det(adj A) = 8 * 25 = 200.
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What is the displacement current between the plates if the separation of the plates is r and they have an area of a?
A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.
What is displacement current?Your information is incomplete. Therefore, an overview of the displacement current will be given.
A displacement current simply defines the terms of the rate of change of the electric displacement field.
It's the current due to the changing of the electric field that is inside the plate of the capacitor.
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In a certain year. Cairo has a population of 10,400,000. The land area of Cairo is 520 km square kilometers
If the population density (number of people per square kilometer) of Cairo during this year wask people km, what is the value of k?
Answer:
20,000 per sq. km.
Step-by-step explanation:
In this question, the variable k represents the total number of people in a single square km. Since we are provided both the total number of the population and the total square kilometers of the land, we can calculate the value of k by dividing the population size by the total land. Therefore, the calculation would be the following...
\(\frac{10,400,000 people}{520km^{2} }\) = k
20,000 per sq. km. = k
Finally, we can see that the value of k is 20,000 per sq. km.
Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 180° counterclockwise.
U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−1, 0), V′(−3, 0), W′(3, −3)
To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:
A 180° counterclockwise rotation of a point (x, y) about the origin produces the point (-x, -y).To perform a rotation of a polygon, we apply the transformation rule to each vertex of the polygon.Using these rules, we can find the vertices of image U′V′W′ as follows:
Vertex U(-2, 0) is transformed to U′(0, -2), since (-(-2), -(0)) = (2, 0) becomes (0, -2) after the rotation.Vertex V(-3, 1) is transformed to V′(1, -3), since (-(-3), -(1)) = (3, -1) becomes (1, -3) after the rotation.Vertex W(-3, 3) is transformed to W′(3, -3), since (-(-3), -(3)) = (3, 3) becomes (3, -3) after the rotation.Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).
So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).
(6+9)2+6(600-9)+600 divide 30
Step-by-step explanation:
GIVEN
HERE
= 6+9+2+6+600÷30 { firstly add numbers }
= 623 ÷ 30
= 20
I think you understand
Measure the length of 6 different things in your home using non standard units of length
Nonstandard units of measurement are units of measurement that aren't typically used.
Pencil, toothpick, shoes etc are some of the examples for non standard units for measuring lengths.
Hand span is a non standard unit to measure the length of objects.
Measurement of some items in my home using non standard units.
Table : table measures 10 pencil lengths
Bed : bed measures 15 handspans
Sofa : sofa measures 8 shoe length
Shelf : shelf measures 30 pencil length
Door : door measures 18 handspans
Window : window measures 6 shoe length
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what is the correct answer?
need help ASAP!!
Select that integer that matches the following situation:
I go for a hike in Colorado. The top of the mountain is , feet above sea level.
Question 4 options:
A: 144
B: 14,000
C: -14
D: -14,000
The integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
I go for a hike in Colorado. The top of the mountain is ___ feet above sea level.
We need to find the suitable integer in the blank.
The top of a mountain would be a high number above sea level, 144 is around ground level above sea level therefore the top of the mountain would be 14,000 feet above sea level
Hence, the integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.
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For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
there are 6 students in the class. one of them is to be selected as the best student and another student is to be selected as a runner-up. how many different ways can this be done?
If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students
Total number of students in the class = 6 students
Number of students for best student = 1 student
Number of students for runner up = 1 students
Total number of students needed = 2
Here we have to use the combination
6\(C_2\) = 6! / 2!(6 - 2)!
= 6! / 2! × 4!
Split the terms and cancel it
= 6 × 5 / 2 × 1
Multiply the terms
= 30 / 2
Divide the numbers
= 15 combinations
Therefore, there are 15 combinations
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calculate the interquartile range from the following data: 1, 2, 4, 5, 10, 12, 18.
a. 5
b. 6
c. 10
d. 17
The interquartile range with data 1, 2, 4, 5, 10, 12, 18 is 10.
To calculate the interquartile range, we need to first find the median (Q2) of the data set.
The median of the data set is the middle value, which is 5.
Next, we need to find the median of the lower half of the data set (Q1) and the median of the upper half of the data set (Q3).
The lower half of the data set is 1, 2, and 4. The median of this set is 2.
The upper half of the data set is 10, 12, and 18. The median of this set is 12.
Therefore, Q1 = 2 and Q3 = 12.
The interquartile range is the difference between Q3 and Q1, which is 12 - 2 = 10.
Therefore, the answer is c. 10.
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Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.
Please help.
Answer:
Total stamps = 240
ratio= 3:8
3x + 8x = 240
11x = 240
x = 240/11 = 21.8
then, callum's stamps = 3x = 3 * 21.8 = 65.4
Isabel's stamps = 8x = 8 * 21.8 = 174.4
After buying the stamps,
ratio = 3:2
callum's stamps = 3x
Isabel's stamps = 2x
= 3x + 2x = 240
5 x = 240
x = 240/5 = 48
callum's stamps = 3x = 3 * 48 = 144
Isabel's stamps = 2x = 2 * 48 = 96
no. if stamps bought by calling = 144 - 65.4 = 78.6 stamps
hope it helps you
6^2 + b^2 = 24^2 solve for b
Answer:
the answer is b=18
Step-by-step explanation:
solve for the value of w
Answer:
w= 8
Step-by-step explanation:
180-90= 90
(5w + 1) + (7w- 7) = 90
solve
w= 8
It takes Max three hours to run 30 kilometers. Georges, on the other hand, travels the same distance in 2 hours and 20 minutes. If both are to complete a 15-kilometre race, how long before Max will Georges arrive to the finish line?
George will arrive 20 minutes before Max
It takes Max 3 hours(180 minutes) to run 30 km .
The rate can be calculated as follows:
rate = 30 / 180 = 1/6 km/ min
George uses 2 hours 20 minutes(140 minutes) to run 30 km.
The rate can be calculated as follows:
rate = 30 / 140 = 3/14 km / min
If both are to complete a 15-kilometre race, Therefore,
Max time will be
1 / 6 = 15 / t
t = 15 × 6
t = 90 minutes
George time will be
3/14 = 15 / t
3t = 210
t = 210 / 3
t = 70 minutes
Time difference = 90 - 70 = 20 minutes
Therefore, George will arrive 20 minutes earlier than Max
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