Which equation represents the same relationship

Answer:

Step-by-step explanation:

13 and 67

Answer:

39.1

Step-by-step explanation:

31.7 + 42.8 + 26.4 = 100.9

35 times 4 = 140

140 - 100.9 = 39.1

Answer:

\(mean = \frac{31.7+42.8+26.4+x}{4} \\\\35 = \frac{31.7+42.8+26.4+x}{4} \\\\\\35*4 = 31.7+42.8+26.4+x \\\\140 = 100.9 + x\\\\x= 39.1\)

option 3

Answer:

They have all together 1,208$

Step-by-step explanation:

Do subtraction first, 128- 8= 120 so Abdul as 120$

Deon is multiplication, 8x120=960$

Rita has 128$

a) \(Calculation of 5 point DFT of x(n) is: X(k) = [28, -2 - 16j, -8, -2 + 16j, -2]\)On squaring the values of X(k),\(we getY(k) = X(k)²= [784, 68 - 80j, 64, 68 + 80j, 4]\)

Now we need to compute the inverse DFT of Y(k) which is given below:

\(Let us calculate the 5-point IFFT by using the circular convolution approach as: Y(k) = X(k)²[784, 68 - 80j, 64, 68 + 80j, 4] = x²(k)By using 5-point IFFT\),

\(we can obtain the values of y(n) as below:y(n) = [1960, -360 + 168j, 256, -360 - 168j, 16]b) Given x(n) = ejwon, 0≤n≤N - 1\)and zero otherwise.

We need to find the Fourier Transform X(w) of x(n) and N-point DFT X(k) of x(n).

\(The Fourier Transform X(w) of x(n) is:X(w) = Σx(n)ejwn = Σejwon ejwn = N∑(k=0) ej2πkn/N\)

The above expression is a Geometric series.

\(When the common ratio is |r|<1, the sum of the geometric series becomes:S = a(1 - r^n)/(1 - r)\)

\(Substituting r = ej2π/N and a=1, we get:S = 1(1 - ej2πn/N)/(1 - ej2π/N)\)

\(Hence, the Fourier Transform X(w) of x(n) is:X(w) = N(1 - ej2πn/N)/(1 - ej2π/N)\)

The N-point DFT of the finite length sequence x(n) is given by:\(X(k) = Σx(n)ej2πkn/N  , for 0 ≤ k ≤ N - 1\)

\(Here, the given sequence x(n) is:x(n) = ejwon, 0≤n≤N - 1\) and zero otherwise.

\(Substituting the given sequence in the above equation, we get:X(k) = Σej2πkn/Nfor 0 ≤ k ≤ N - 1 = Σcos(2πkn/N) + jsin(2πkn/N) for 0 ≤ k ≤ N - 1\)

\(Here, let us separate the real and imaginary parts as below:X(k) = Σcos(2πkn/N) + jsin(2πkn/N) for 0 ≤ k ≤ N - 1= Σcos(2πkn/N) + Σjsin(2πkn/N) for 0 ≤ k ≤ N - 1\)

\(On substituting the values of cos and sin in the above equation, we get: X(k) = Re(X(k)) + jIm(X(k)), for 0 ≤ k ≤ N - 1where, Re(X(k)) = Σcos(2πkn/N) for 0 ≤ k ≤ N - 1Im(X(k)) = Σsin(2πkn/N) for 0 ≤ k ≤ N - 1\)

Therefore, we can calculate the N-point DFT X(k) of x(n) by using the above expression.

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To convert 80 kg to lbs, multiply 80 by 2.20462. 80 kg is equivalent to 176.369 lbs.

Kilograms (kg) and pounds (lbs) are both units of measurement used to express weight or mass. The conversion between kilograms and pounds is widely used in many countries, especially in sports and fitness, where weight is an important factor.

To convert kilograms to pounds, simply multiply the number of kilograms by 2.20462. In this case, to convert 80 kg to lbs, you would multiply 80 by 2.20462, which gives you a result of 176.369 lbs.

This conversion factor is widely accepted and is used in many applications. It is important to note that the conversion is exact and is not an approximation.

If you need to make precise weight measurements, it is recommended to use this conversion factor to convert between kilograms and pounds.

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Answer: x = 4, y = 6

Step-by-step explanation:

2x = y + 2 (1)

-x + 3y = 14 (2)

From (2):

x - 3y = -14

x = 3y - 14

Plug it into (1):

2(3y - 14) = y + 2

6y - 28 = y + 2

5y = 30

y = 6

Plug it back in again:

x = 3(6) - 14

x = 18 - 14

x = 4

Answer:

The volume of the new cone would be;

Explanation:

Given the cone in the attached image.

with radius r and height h of;

If the radius was doubled and the height changed to 7cm, we would have;

The Volume of a cone can be calculated using the formula;

substituting the new radius and height;

Therefore, the volume of the new cone would be;

Answer:

25 is the answer , youre looking for the rate of change

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because in graph there are boxes

And boxez are squre

And C is the answer

You Fool

Yoo Fool

Given:

The figure of a triangle.

To find:

The exterior angle of the triangle m∠NPI.

Solution:

According to the exterior angle theorem, value of exterior angle of a triangle is equal to the sum of the opposite interior angles.

Using the exterior angle theorem, we get

\(m\angle NPI=65^\circ+78^\circ\)

\(m\angle NPI=143^\circ\)

Therefore, the measure of angle NPI is 143 degrees.

When taking a measurement using a device with an analog scale, we can determine the last digit in the number you report by Add one estimated value aside from the value given by the analog scale. The estimate will be your best guess on where it falls relative to the object measured.

Analog scales are a type of scale operated manually without using electricity to determine the weight of a weighted object. The definition of scales can be concluded as a tool that has the function of measuring or knowing the mass of an object/substance.

Analog scales existed before the use of electronic/electrical technology on analytical scales. The working principle of analog scales is based on the gravitational swing arm balance.

This is where it is important for you to know the meaning of balances / scales and how to use them.

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Answer:

Se usaron 700 g de queso, quedando 300 g de queso.

Step-by-step explanation:

Si se usó 1/5 más 1/2 de queso, el total usado fue:

\(\frac{1}{5}+\frac{1}{2}=\frac{7}{10}\)    

Entonces, se usó 7/10 del kg inicial de queso. Sabiendo que:

1 kg      ------ 1000 g

7/10 kg ------ x g

Entonces x = 700 g, lo que significa que se usaron 700 g de queso, quedando 300 g de queso.

Este problema se puede resolver utilizando una regla de tres, como se hizo aquí, o mefiante razones, en una equacion lineal.

Espero te haya sido de ayuda!

Answer:

0.495

Step-by-step explanation:

Answer:

0.039

Step-by-step explanation:

if u turn it into a fraction it will turn into 39/1000 which is 3.9 as  a percentage

Answer: the bookstore has sold 84 fiction books

Step-by-step explanation:

multiply 12 by 7 and get your answer:)

The implication \([p \land (p \rightarrow q)] \rightarrow q\) is always true, making it a tautology.

To show that the statement \([p \land (p \rightarrow q)] \rightarrow q\) is a tautology, we can use logical identities and deduction.

First, let's analyze the expression \((p \rightarrow q)\). By the definition of implication, \(p \rightarrow q\) is true when either \(p\) is false or both \(p\) and \(q\) are true.

Next, we consider the conjunction \(p \land (p \rightarrow q)\). For this expression to be true, both \(p\) and \((p \rightarrow q)\) must be true.

Now, let's examine the implication \([p \land (p \rightarrow q)] \rightarrow q\). According to the truth table for implications, this statement will be true when either the antecedent \([p \land (p \rightarrow q)]\) is false, or the consequent \(q\) is true.

However, since we have already determined that for \((p \rightarrow q)\) to be true, both \(p\) and \(q\) must be true, it follows that the antecedent \([p \land (p \rightarrow q)]\) is always true.

Therefore, the implication \([p \land (p \rightarrow q)] \rightarrow q\) is always true, making it a tautology.

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Answer:

Step-by-step explanation:

ED :  DL = FD : DM

or

ED / DL = FD / DM

FD = ED·DM / DL

FD = 88 ·  84  / 48 = 154

Answer:

f(x - 2) = - x + 8

Step-by-step explanation:

Substitute x = x - 2 into f(x)

f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8

The assumption that cold packs release cold is wrong because heat always flows from hotter to colder objects according to the law of thermodynamics. Rather, the reaction of cold packs is an endothermic reaction.

An endothermic reaction is a type of chemical or physical process that absorbs heat from its surroundings. In other words, it requires an input of heat energy to occur.

During an endothermic reaction, energy is absorbed from the surrounding environment, resulting in a decrease in temperature.

Cold packs contain a substance, ammonium nitrate which undergoes an endothermic reaction upon dissolving in the water. This reaction absorbs heat from the surrounding environment, causing a drop in temperature. As a result, the cold pack feels cold when applied to the skin.

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Answer:

The slope of the parallel line is 3.

Step-by-step explanation:

A line that is parallel to a refernce line will have the same slope.  The refernce line is 3x-y=18.  Rewrite it in slope-intercept form [y=mx+b] so that we can find the slope, m.

3x-y=18

-y= - 3x + 18

y = 3x - 18

The slope, m, is 3

A line parallel to this line will also have a slope of 3.

y = 3x+b

Choose any b, and the line will be parallel.  I chose 5 for the attached graph.  y = 3x+5

Answer:

D, F and G

Step-by-step explanation:

A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C

Also no fractional exponents so eliminate E

F & G are positive exponents so acceptable

D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.

Answer:

D. 18

Step-by-step explanation:

12.50 x 18 = 225

hope it helps :)

Answer:

136

Step-by-step explanation:

This is an arithmetic sequence

The formula is an = a1 + f × (n-1)

n= the number we are trying to find = 37

a= the number in any given space on the sequence

a1= 460

f= the common difference between the numbers

f= -9 because you subtract 9 from each to get the number

a37= 460-9(37-1)

a37= 460-9(36)

a37= 460- 324

a37= 136

\( \\ \)

\( \\ \)

\( \\ \)

\( \\ \)

\( \\ \)

Clearly these three terms are making an arithmetic sequence, with :

\( \\ \)

Now, we have to find 37th term of sequence = \( \tt a_{37}\)

\( \\ \)

Now, we know that :

\( \large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}\)

\( \\ \)

\( \tt : \implies a_{37} = a + (37-1)d\)

\( \tt : \implies a_{37} = a + 36d\)

\( \\ \)

Now, by substituting values of a and d :

\( \tt : \implies a_{37} = 460 + 36 \times (-9)\)

\( \tt : \implies a_{37} = 460 - 324\)

\( \tt : \implies a_{37} = 136\)

\( \\ \)

Hence, value of 37th term of given sequence is 136.

Answer:

60%

Step-by-step explanation:

27/45 = 3/5 = 60/100 = 60%

Answer:

C)multiplicación or división

The partial derivatives of the function f(x, y) are fx = 9y^2 and fy = 4yx^2 + 18xy, and evaluating them at the point (1, 1) gives fx(1, 1) = 9 and fy(1, 1) = 22.

To find fx and fy, we need to compute the partial derivatives of the function f(x, y) with respect to x and y, respectively.

Taking the partial derivative of f(x, y) with respect to x (fx), we treat y as a constant and differentiate each term separately:

fx = (d/dx) [9xy^2 + 2y^2]

= 9y^2 (d/dx) [x] + 0 (since 2y^2 is a constant)

= 9y^2

Taking the partial derivative of f(x, y) with respect to y (fy), we treat x as a constant and differentiate each term separately:

fy = 2 (d/dy) [y^2x^2] + (d/dy) [9xy^2]

= 2(2yx^2) + 9x(2y)

= 4yx^2 + 18xy

To evaluate fx and fy at the given point (1, 1), we substitute x = 1 and y = 1 into the expressions we obtained:

fx(1, 1) = 9(1)^2 = 9

fy(1, 1) = 4(1)(1)^2 + 18(1)(1) = 4 + 18 = 22

Therefore, fx(1, 1) = 9 and fy(1, 1) = 22.

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Answer:

25.06 square feet

Step-by-step explanation:

You have to multiply 35.8 times 0.7 (even though it is a decimal) to get the area of Barb's room

Answer:

\(I=\frac{E}{R}; R\neq 0\)

Step-by-step explanation:

\(E=IR\\\\IR=E\\\\\frac{IR=E}{R}\\\\ \boxed{I=\frac{E}{R}; R\neq 0}\)

Hope this helps.

parallelogram

1. perimeter 10(2)+10(2)=32+20

   perimeter = 52cm

   area=b times h

  area = 16(9)=144cm2

2 TRAPEZOID

  perimeter =( 21+24+25+44.67)m

                      =114.67m

                     area= 1/2( b1+b2)h

                                1/2(44.67+25)20

                                696.7m2

3. perimeter = 2+3+12+2+3+5+3+2+9+7+3

                      =51cm

area = 54+6+6+6=72cm2      

4.    perimeter is  10+4+2+3+ 2+4+10+23 =    58cm

area is

(11+23).8=37.8

=272

trap-rect=136-6

=130ft2