The diagram shows figures that are parallelograms and figures that are rectangles.

Select the four attributes that all parallelograms and all rectangles have in common.

Answer:

7c + 4 = 8

7c = 8 -4

7c = 4

c=4/7

Answer:

bet but need barinlyist

Step-by-step explanation:

The magnitude spectrum of Fourier coefficients a[n] = 4 sin(nπ/3) is: |C[k]| = 0 so the phase spectrum is undefined. Fourier coefficients of x[n] = cos(2nπ/3) + sin(2nπ/5) for all other values of k, C[k] = 0, so the magnitude and phase spectra are zero. The Fourier coefficient for  cos(x) sin(y) = 1/2 (sin(x + y) – sin(x – y)) C[k] is zero when k is not equal to ±2/3 and ±2/5.

To compute the Fourier coefficients of a[n] = 4 sin(nπ/3), we use the formula:

C[k] = (1/N) * Σ[n=0 to N-1] a[n] e^(-j2πkn/N)

where N is the period of the signal (in this case, N = 6 since sin(nπ/3) has a period of 6), and k is the frequency index.

For k = 0, we have:

C[0] = (1/6) * Σ[n=0 to 5] 4 sin(nπ/3) = (4/6) * (sin(0) + sin(π/3) + sin(2π/3) + sin(π) + sin(4π/3) + sin(5π/3))

C[0] = (4/6) * (0 + √3/2 + √3/2 + 0 - √3/2 - √3/2) = 0

For k = ±1, we have:

C[1] = (1/6) * Σ[n=0 to 5] 4 sin(nπ/3) e^(-j2πn/6) = (4/6) * (sin(0) - sin(π/3) - sin(2π/3) + sin(π) + sin(4π/3) - sin(5π/3))

C[1] = (4/6) * (0 - √3/2 + √3/2 + 0 + √3/2 - (-√3/2)) = 0

C[-1] = (1/6) * Σ[n=0 to 5] 4 sin(nπ/3) e^(j2πn/6) = (4/6) * (sin(0) - sin(π/3) - sin(2π/3) + sin(π) + sin(4π/3) - sin(5π/3))

C[-1] = (4/6) * (0 - √3/2 + √3/2 + 0 + √3/2 - (-√3/2)) = 0

For all other values of k, we have C[k] = 0. Therefore, the Fourier series of a[n] is:

a[n] = 0

The magnitude spectrum is:

|C[k]| = 0

The phase spectrum is undefined.

To compute the Fourier coefficients of x[n] = cos(2nπ/3) + sin(2nπ/5), we use the formula:

C[k] = (1/N) * Σ[n=0 to N-1] x[n] e^(-j2πkn/N)

where N is the period of the signal (in this case, N = lcm(3, 5) = 15 since both cos(2nπ/3) and sin(2nπ/5) have periods of 3 and 5, respectively), and k is the frequency index.

For k = 0, we have:

C[0] = (1/15) * Σ[n=0 to 14] (cos(2nπ/3) + sin(2nπ/5)) = (1/15) * (5 + 0 - 5 + 0 + 5 + 0 - 5 + 0 + 5 + 0 - 5 + 0 + 5 + 0 - 5 + 0 + 5) = 5/3

To compute C[k] for k ≠ 0 and k ≠ 5, we can use the trigonometric identity:

cos(x) sin(y) = 1/2 (sin(x + y) – sin(x – y))

Let x = 2kπ/3 and y = 2nπ/5, then:

cos(2kπ/3) sin(2nπ/5) = 1/2 (sin(2kπ/3 + 2nπ/5) – sin(2kπ/3 – 2nπ/5))

= 1/2 (sin(10knπ/15 + 6kπ/15) – sin(10knπ/15 - 2kπ/15))

= 1/2 (sin((2k + 3n)π/3) – sin((2k - n)π/3))

The first term is zero when (2k + 3n) is an odd multiple of 3, and the second term is zero when (2k - n) is an odd multiple of 3. Therefore, C[k] = 0 when k + 3n is odd or k - n is odd.

For k = 3n, we have:

C[3n] = (1/15) * Σ[m=0 to 14] (cos(2mπ/3) sin(2nπ/5))

= (1/30) * Σ[m=0 to 14] (sin((2m + 3n)π/3) – sin((2m - n)π/3))

= (1/30) * (sin(5nπ/3) – sin(nπ/3) + sin(7nπ/3) – sin(5nπ/3) + sin(9nπ/3) – sin(7nπ/3) + sin(11nπ/3) – sin(9nπ/3) + sin(13nπ/3) – sin(11nπ/3) + sin(15nπ/3) – sin(13nπ/3) + sin(17nπ/3) – sin(15nπ/3) + sin(19nπ/3) – sin(17nπ/3))

= (1/30) * (sin(nπ/3) – sin(19nπ/3)) = 0

Therefore, the only non-zero coefficients are C[0] = 5/3 and C[5] = -5/3. The magnitude and phase spectra are:

|C[0]| = 5/3, arg(C[0]) = 0

|C[5]| = 5/3, arg(C[5]) = π

For all other values of k, C[k] = 0, so the magnitude and phase spectra are zero.

To compute the Fourier coefficients of cos(x) sin(y) = 1/2 (sin(x + y) – sin(x – y))

x[n] = 1/2 (sin(2nπ/3 + π/2) - sin(2nπ/3 - π/2)) * 1/2 (sin(2nπ/5) - sin(-2nπ/5))

Using the formula for the Fourier coefficients of a sinusoidal signal:

C[k] = (1/N) Σ[n=0 to N-1] x[n] e^(-j2πnk/N)

we can compute the Fourier coefficients for x[n]:

C[k] = (1/N) Σ[n=0 to N-1] x[n] e^(-j2πnk/N)

= (1/N) [Σ[n=0 to N-1] 1/2 sin(2nπ/3 + π/2) e^(-j2πnk/N) - Σ[n=0 to N-1] 1/2 sin(2nπ/3 - π/2) e^(-j2πnk/N)] [Σ[n=0 to N-1] 1/2 sin(2nπ/5) e^(-j2πnk/N) - Σ[n=0 to N-1] 1/2 sin(-2nπ/5) e^(-j2πnk/N)]

= 1/4 [C1(k-2/3) - C1(k+2/3)] [C1(k-2/5) - C1(k+2/5)]

where C1(k) is the Fourier coefficient of the signal cos(2nπ/3), which is given by:

C1(k) = (1/N) Σ[n=0 to N-1] cos(2nπ/3) e^(-j2πnk/N)

= (1/N) Σ[n=0 to N-1] 1/2 [e^(-j2πnk/3) + e^(j2πnk/3)]

= 1/2 [δ(k-1/3) + δ(k+1/3)]

Therefore, the Fourier coefficient C[k] is zero when k is not equal to ±2/3 and ±2/5.

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After solving the equation for x, the resultant answer is (3, -2).

The definition of an equation in algebra is a mathematical statement that shows the equivalence of two mathematical expressions.

For example, the equation 3x + 5 = 14 comprises the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, we have the equation:

y = -2x +4

Now, get value of x for y = -2 as follows:

Fill in the equation with the value of y and find x:

-2 = -2x +4 . . . . use -2 for y

-6 = -2x . . . . . . . subtract 4

3 = x . . . . . . . . . .divide by -2

Therefore, after solving the equation for x, the resultant answer is (3, -2).

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Complete question:
y=−2x+4y, equals, minus, 2, x, plus, 4

Complete the missing value in the solution to the equation.

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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step 1

Find out the measure of angle 18

we have that

m<18=m<6 ------> by corresponding angles

m<6=37 degrees ----> given

so

m<18=37 degrees

step 2

Find out the measure of angle 19

we have that

m<19+m<18=180 degrees -------> by form a linear pair

so

m<19+37=180

The x coordinate of point F is 4 and y coordiate of point F is 3.

So coordinate of point F is,

Answer (4,3)

Answer:

\(Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved\)

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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The solution to the given inequality is -10 < x < 5.

To solve a compound inequality involving the and operation, we solve each inequality, then find the intersection of these solutions.

For this problem, the inequality is given by:

-12 < 0.5(4x + 16) < 18.

Multiplying all the terms by 2:

-24 < 4x + 16 < 36

Hence:

4x + 16 > -24

4x > -40

x > -10.

4x + 16 < 36

4x < 20

x < 5

The intersection of these two solutions is:

-10 < x < 5.

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

16m 24m and 24m

Step-by-step explanation:

Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.

Step-by-step explanation:

step 1. h(-6) = 3(-6) - 2

step 2. h(-6) = -18 - 2

step 3. h(-6) = -20.

The simplest fraction form of the given expression 4/5^3 is 4/125.

A fraction is part of a whole. In arithmetic, numbers are represented as the quotient of the numerator divided by the denominator. In simple fractions, both are integers. A complex fraction has a fraction in the numerator or denominator. A true fraction has the numerator less than the denominator 

Simplifying a fraction means finding the equivalent fraction, truncated as much as possible. 

According to the information from the question given:

Simplified form of fraction= 4/5^3

                                           =4/(5x5x5)

                                           =4/125

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Answer:

A

Step-by-step explanation:

I would recommend following along with Brian McLogan, a renowned math teacher. He teaches this great. Hope this helps: "How to Determine All of the Zeros of a Polynomial"

Answer: 79

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Hope that helped have a nice day!

Answer:

coprs said the United of a group that had to take the first time and was not the first person in a while and

Step-by-step explanation:

Answer:

Total Charge = Initial Charge + Daily Charge x Number of Days

Step-by-step explanation:

Let's assume that x is the number of days that Frank rented the car.

The initial charge for the rental is $40, which is a one-time charge, so it does not depend on the number of days.

The daily charge for x days is $35 per day. Therefore, the total charge for x days can be calculated as:

Total Charge = Initial Charge + Daily Charge x Number of Days

Total Charge = $40 + $35x

We know that Frank was charged $180, so we can set the total charge equal to $180 and solve for x:

$40 + $35x = $180

Subtracting $40 from both sides gives:

$35x = $140

Dividing both sides by $35 gives:

x = 4

Therefore, Frank rented the car for 4 days.

Answer:

6.718464×10^13 / 67184640000000

Step-by-step explanation:

6×10^6 = 46656000000 × 1440 = 67184640000000

In the rhombus PQRS, if angle ∠ SPQ = 120° then ∠SPO is 30°

∠POS is 90° and ∠PSO is 60 degrees, ∠PO is 90° and ∠SO  is 150°

PQRS is a rhombus.

∠ SPQ = 120° and SP = 8.

We have to find angles,∠SPO = (180° - ∠SPQ) / 2

= (180° - 120°) / 2

= 30°

∠POS = 90°

Now we have to find angle PSO

∠PSO+∠SPO+∠POS =180

30+90+∠PSO=180

120+∠PSO=180

∠PSO=180-120

∠PSO=60 degrees

∠PO = 360° / 4 = 90°

∠SO = 180° - ∠POS = 180° - 30°

= 150°

The area we find by using formula diagonal 1 × diagonal 2/2

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Answer:

90

Step-by-step explanation:

45% = 45/100

45/100 × 200 = 90

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

What is Simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Although some mortgages employ this calculation approach, this kind of interest typically relates to auto loans or short-term loans.

Given, time period = 180 days.

Time ( T) in years = 180/365 year

Amount (A) = RM 205

Rate of interest (R) = 5% p.a. = 0.05

The formula to calculate amount (A) with respect to principal (P) is:

A = P(1+RT)

⇒ 205 = P(1 + 0.05*180/365)

⇒ 205 = P(1.025)

⇒ P = 205/1.025

⇒ P = 200

Hence, principal comes out as RM200.

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

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Using Simple Interest, The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Although some mortgages employ this calculation approach, this kind of interest typically relates to auto loans or short-term loans.

Given, time period = 180 days.

Time ( T) in years = 180/365 year

Amount (A) = RM 205

Rate of interest (R) = 5% p.a. = 0.05

The formula to calculate amount (A) with respect to principal (P) is:

A = P(1+RT)

⇒ 205 = P(1 + 0.05*180/365)

⇒ 205 = P(1.025)

⇒ P = 205/1.025

⇒ P = 200

Hence, principal comes out as RM200.

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:there is no graphs

Step-by-step explanation:

poop

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Answer:

am not sure but I think is true. I am hopeful

Answer:

Step-by-step explanation:

Substitute to verify:

Answer:

Gretta's Contribution = $52,500

Interest = $125,588.79

Step-by-step explanation:

Gretta contributes $125 each month, for 35 years. Therefore, to find the amount she contributed, we multiply those pieces together (12 months in each year).

125 x 12 x 35 = $52,500

Therefore, over the 35 years, Gretta contributed $52,500.

If there was $178,088.79 in her account, and she contributed $52,500, then the rest is interest.

$178,088.79 − $52,500 = $125,588.79

There was $125,588.79 in interest earned on Gretta's account.

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12