What is a limit in calculation.

The ordered pair (2,3) is not a solution of the system

From the question, we have the following parameters that can be used in our computation:

−8x + 4y > 3

6x - 7y < −5

The solution is given as

(2, 3)

Next, we test this value on the system

So, we have

−8(2) + 4(3) > 3

-4 > 3 --- false

This means that (2,3) is not a solution of the system

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There are 2,190 possible combinations of winners for the gaming tournament.

To find the number of combinations of winners for the tournament, we can use the formula for combinations: C(n,r) = n! / (r!(n-r)!), where n is the 88total number of items (in this case, the number of people in the tournament) and r is the number of items being chosen (in this case, the number of winners).

For this problem, we want to choose 3 winners from a group of 12 people, so n = 12 and r = 3. Plugging these values into the formula, we get:

C(12,3) = 12! / (3!(12-3)!) = (12 * 11 * 10) / (3 * 2 * 1) = 220

This tells us that there are 220 possible ways to choose 3 winners from a group of 12 people. However, this only gives us the number of possible combinations of winners, not the actual combinations themselves.

To find the actual combinations, we would need to list all of the possible sets of 3 winners, which would be impractical for a group of 12 people. Instead, we can use the formula to simply calculate the total number of combinations, which is 220. Therefore, there are 2,190 possible combinations of winners for the gaming tournament.

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Answer:

30%

Step-by-step explanation:

Just took the test

The front-end estimate of \(33\dfrac{1}{3} \%\) is approximately 30% using the rule of front-end approximation.

A front-end estimate is an approximation that involves looking only at the left digit of the number.

Rounding off numbers means adjusting a number simpler by adjusting it to its nearest place according to certain rules. In rounding off numbers, the place value starts from tens place

The front-end estimate of\(33\dfrac{1}{3} \%\)  can be calculated as follows:

To estimate \(33\dfrac{1}{3} \%\)using a front-end approach, we can round it to the nearest ten percent.

So, the nearest tens place is 30%.

So, the front-end estimate of \(33\dfrac{1}{3} \%\) is approximately 30%.

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Answer:

12

Step-by-step explanation:

She spent $8 on a sketchpad and $17 in total.

Amount of money she spent on drawing pencils = \(17-8=9\)

A drawing pencil cost $0.75 and she spent $9.

Thus, she bought \(9\div0.75=12\) drawing pencils.

Answer:

12

Step-by-step explanation:

First I subtracted 8 from 17 and I got 9. Then I divided 9 by .75 and got 12. Then to check I substituted 12 into the equation which is 12(.75) + 8 and I get 17.

Hopefully this helps you :)

pls give me brainlest ;)

Answer:

4+8

Step-by-step explanation:

oh and the answer to the whole equation is 153

Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.

This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.

This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.

Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.

In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s

Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.

In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.

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The \% error in the Earth's radius calculated using the original definition of the meter is 897.7 \% greater than the accepted value of the Earth's radius. The French Academy of Sciences defined the meter as one ten-millionth of the distance from the equator to the North Pole along a meridian passing through Paris. Therefore, we can calculate the Earth's circumference and radius in those meters as follows:

Circumference of Earth = 40,000 km × 1000 m/km

= 40,000,000 m

Distance between North Pole and equator = 10,000 km × 1000 m/km

= 10,000,000 m1 meter

= 1/10,000,000 of the distance between the North Pole and equator

Therefore, the Earth's circumference = 40,000,000 m / 1 meter/ (1/10,000,000) = 400,000,000 meters

Earth's radius = Earth's circumference / (2 × π) = 400,000,000 / (2 × 3.14) = 63,662,420.38 meters

To find the \% error relative to today's accepted values, we need to compare these values with the values obtained from current measurements.

According to the front cover, the accepted value of the Earth's radius is 6,371 km, which is equivalent to 6,371,000 meters. The \% error in the Earth's radius calculated using the original definition of the meter is:

\% Error = (|Accepted value - Calculated value| / Accepted value) × 100

= (|6,371,000 - 63,662,420.38| / 6,371,000) × 100

= 897.7 \%

Therefore, the \% error in the Earth's radius calculated using the original definition of the meter is 897.7 \% greater than the accepted value of the Earth's radius.

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The answer is B and pls mark me brainiest

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.

The center of the hyperbola is the midpoint between the two vertices:

Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).

The distance between the center and one of the vertices gives us the semi-major axis (a):

a = distance between center and vertex = 5 - 2 = 3.

The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):

c = distance between center and focus = 7 - 2 = 5.

Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:

c² = a² + b²

5² = 3² + b²

25 = 9 + b²

b² = 25 - 9

b² = 16

b = 4.

Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:

For a hyperbola (center at (h, k)), the equation is:

(x - h)² / a² - (y - k)² / b² = 1.

Plugging in the values:

(x - 3)² / 3² - (y - 2)² / 4² = 1.

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

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The component form of the sum of u and v with direction angles is u + v = (10√2 - 50)i + 10√2 j.

We are given the magnitudes and direction angles of vectors u and v. We need to find the component form of their sum.

Let's first convert the given magnitudes and direction angles to their corresponding components. For vector u:

|u| = 20, θu = 45°

The x-component of u is given by:

ux = |u| cos(θu) = 20 cos(45°) = 10√2

The y-component of u is given by:

uy = |u| sin(θu) = 20 sin(45°) = 10√2

Therefore, the component form of vector u is:

u = 10√2 i + 10√2 j

Similarly, for vector v:

|v| = 50, θv = 180°

The x-component of v is given by:

vx = |v| cos(θv) = -50 cos(180°) = -50

The y-component of v is given by:

vy = |v| sin(θv) = 50 sin(180°) = 0

Therefore, the component form of vector v is:

v = -50 i + 0 j

The component form of the sum of u and v is given by the sum of their x- and y-components:

u + v = (10√2 - 50) i + (10√2 + 0) j

Simplifying, we get:

u + v = (10√2 - 50) i + 10√2 j

Therefore, the component form of the sum of u and v is:

u + v = (10√2 - 50) i + 10√2 j

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The question is -

Find the component form of the sum of u and v with the given magnitudes and direction angles θu and θv.

| | u | | = 20 , θu = 45° | | v | | = 50 , θv = 180°.

Answer:

100.00-0.22 is 99.78

U have to use decimal method. don't use Normal method

The dual of the identity is:

a)  C∩B∪A = C∩B∪(C∩A)

b) A∪B∪Ac∪Bc = U, where U represents the universal set.

A: Represents a set of elements.

B: Represents another set of elements.

Ac: Represents the complement of A, i.e., all the elements that are not in A.

Bc: Represents the complement of B, i.e., all the elements that are not in B.

∩: Represents the intersection operation, which gives the common elements between two sets.

∪: Represents the union operation, which gives all the elements in either of the sets.

The given identity, A∩B∩Ac∩Bc = ∅, states that the intersection of A, B, Ac, and Bc is the empty set.

The dual of this identity, A∪B∪Ac∪Bc = U, states that the union of A, B, Ac, and Bc is the universal set. This means that every element in the universe is included in at least one of A, B, Ac, or Bc.

The reason the dual of the given identity is the universal set is based on the concept of De Morgan's laws, which relate the complement and intersection/union operations.

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Answer:

Step-by-step explanation: The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 5 .

Answer:

7:3

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

You have to divide 30 divided by 10 is 3 so ya.

Answer:

i think you have to divide

Step-by-step explanation:

30/3

x=10

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml

Under the assumption of β0 = 0 the least squares estimate of β1 is ∑xy / ∑x²

Assuming that the intercept, β0, is equal to zero, the linear regression equation becomes:

y = β1x + ε

where y is the response variable, x is the predictor variable, β1 is the slope coefficient, and ε is the error term.

The least squares estimate of β1, denoted by b1, is the value of β1 that minimizes the sum of squared errors, SSE. This is expressed as:

SSE = ∑(y - b1x)²

To find the value of b1 that minimizes SSE, we take the derivative of SSE with respect to b1 and set it equal to zero:

dSSE/db1 = -2∑x(y - b1x) = 0

This simplifies to:

∑xy - b1∑x² = 0

Solving for b1, we get:

b1 = ∑xy / ∑x²

This is the least squares estimate of β1 under the assumption that β0 = 0.

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The forward Fourier Transform formula for a signal is X(jω) = F{x(t)}. The inverse Fourier Transform formula is x(t) = F^(-1){X(jω)}. The two formulas are related by the Fourier Transform property called duality or symmetry.

1. The forward Fourier Transform formula is given by:

  X(jω) = ∫[x(t) * e^(-jωt)] dt

  This formula calculates the complex spectrum X(jω) of a signal x(t) by integrating the product of the signal and a complex exponential function.

2. The inverse Fourier Transform formula is given by:

  x(t) = (1/2π) ∫[X(jω) * e^(jωt)] dω

  This formula reconstructs the original signal x(t) from its complex spectrum X(jω) by integrating the product of the spectrum and a complex exponential function.

  The similarity between these two formulas is known as the Fourier Transform property of duality or symmetry. It states that the Fourier Transform pair (X(jω), x(t)) has a symmetric relationship in the frequency and time domains. The forward transform calculates the spectrum, while the inverse transform recovers the original signal. The duality property indicates that if the spectrum is known, the inverse transform can reconstruct the original signal, and vice versa.

3. To determine the Fourier Transform of the given signal x(t) = [-1, 1, 0, -1], we apply the defining integral:

  X(jω) = ∫[-1 * e^(-jωt1) + 1 * e^(-jωt2) + 0 * e^(-jωt3) - 1 * e^(-jωt4)] dt

  Here, t1, t2, t3, t4 represent the respective time instants for each element of the signal.

  Substituting the time values and performing the integration, we can obtain the Fourier Transform of x(t).

Note: Please note that without specific values for t1, t2, t3, and t4, we cannot provide the numerical result of the Fourier Transform for the given signal. The final answer will depend on these time instants.

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Answer:

Step-by-step explanation:

Volume formula:

Substitute the values and find the volume:

Answer:

Volume(V) \(\sf \longmapsto \: 9m ^{3} \)

Step by step explanation:

As we know, the formula of volume in Right Rectangular Prism is lwh.

Therefore,

1.5m × 3m × 2m \(\sf \longmapsto \: 9m ^{3} \)

Answer:

y = 2(x+3)(x-3)

Step-by-step explanation:

y = a (x-x1) * (x-x2) * (x-x3) * ... (x-xn)

x 1 to n represents the roots

Answer:

-4 is your solution.

Answer:

False

Step-by-step explanation:

Every linear equation in two variables can be written as y=mx+c. 

Here, for each value of x there is a unique value of y. 

Also, x & y are in direct variation.

Hence, xy  will always remain constant.

Consequently, the graph will maintain a definite slope making it a straight line. 

∴ The given statement is false. 

Answer:

False

Step-by-step explanation:

=> y = 2x + 5

=> y - 2x = 5

=> - 2x + y = 5

=> (-2x + y) = 5

=> (-2/5)x + y/5 = 1

=> x/(-5/2) + y/5 = 1, it is in form of x/a + y/b = 1, a is intercept of x.

So, here, x intercept is -5/2.

Method 2;

=> y = 2x + 5

=> y = 2(x + 5/2)

=> y = 2{x - (-5/2)}, says, x intercept is - 5/2 & not - 2/5

Answer:

1/15x^2(x-360)

Step-by-step explanation:

Answer:

If y = 80 then 5x+36 also equals 80

80 - 36 = 44

therefore 5x = 44

44 / 5 = 8.8

x=8.8

Step-by-step explanation:

From the table we can say Srey visited Pittsburgh if the Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh.

When making a choice or addressing an issue, reasoning is the ability to appraise things rationally by using logic based on new or existing information.

We have:

Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names.

Mao and Cory visited cities whose names start with an S.

The table can be make to show the information provided:

Cory - city with 2 words

Molly - city with 2 words

Mao - starting with an s

Cory - starting with an s

cities are : Seattle, Santa Clara,Pittsburgh,Des Moines

The table is:

Name            City name

Cory               Santa Clare

Molly              Des Moines

Mao                Seattle

Srey               Pittsburgh

Thus, from the table we can say Srey visited Pittsburgh if the Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh.

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unknown number = -2

12 = 14 + n

n + 14  = 12

n = 12 - 14

n = -2

Answer:

x = 1

Step-by-step explanation:

\(\frac{2}{3}\) (9x - 6) = \(\frac{1}{4}\) (12 - 4x) ← distribute parenthesis on both sides

6x - 4 = 3 - x ( add x to both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Answer:The greatest possible error of a measurement is considered to be one-half of the measuring unit. If you measure a length to be 4.3 cm. (measuring to the nearest tenth), the greatest possible error is one-half of one tenth, or 0.05. This means that any measurements in the range from 4.25 cm. to 4.35 cm. are perceived as correct.

Step-by-step explanation:

Answer:

The greatest possible error for a measurement of 0.05 metric tons would depend on the accuracy of the measurement device or technique being used. Without more information about the specific measurement method, it is impossible to determine the greatest possible error.

Step-by-step explanation:

The specific values of k and c are determined as k = 1/48 and c = 65. The amount y is given by y = -48/t + 65.

The given general solution of the chemical reaction model is y = -1/(kt) + c. We are provided with specific values for y and t, allowing us to determine the values of k and c and find the amount y as a function of t.

Given that y = 65 grams when t = 0, we can substitute these values into the general solution:

65 = -1/(k*0) + c

65 = c

Next, we are given that y = 17 grams when t = 1, so we substitute these values into the general solution:

17 = -1/(k*1) + 65

17 = -1/k + 65

-1/k = 17 - 65

-1/k = -48

k = 1/48

Now, we have determined the values of k and c. Substituting these values back into the general solution, we get:

y = -1/(1/48 * t) + 65

y = -48/t + 65

Using a graphing utility, we can plot the function y = -48/t + 65. The x-axis represents time (t) and the y-axis represents the amount of substance (y) in grams. The graph will show how the amount of substance changes over time according to the chemical reaction model.

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