What is the value of the expression 14(3+52÷4)?

Answer: A line straight horizontal on the y value of 2.

Step-by-step explanation:

-------------------------------2-------------------------------------------

Answer:

Shown in the attached image below

Step-by-step explanation:

The graph of y=2 means that any x-value you put in, all of the values are always going to equal 2. That’s why it’s a horizontal line at 2.

Hope this helps! :)

For the given expression 2t² is the impulse response, and the given system is linear and the system is unstable

Given, y(t) = 2t{t-4 x(T) dt.
a) To find impulse response, let x(t) = δ(t).Then, y(t) = 2t{t-4 δ(T) dt = 2t.t = 2t².

Let h(t) = y(t) = 2t² is the impulse response.
b) A system is said to be linear if it satisfies the two properties of homogeneity and additivity.

A system is said to be linear if it satisfies the two properties of homogeneity and additivity. For homogeneity,

let α be a scalar and x(t) be an input signal and y(t) be the output signal of the system. Then, we have

h(αx(t)) = αh(x(t)).

For additivity, let x1(t) and x2(t) be input signals and y1(t) and y2(t) be the output signals corresponding to x1(t) and x2(t) respectively.

Then, we have h(x1(t) + x2(t)) = h(x1(t)) + h(x2(t)).

Now, let's consider the given system y(t) = 2t{t-4 x(T) dt.

Substituting x(t) = αx1(t) + βx2(t), we get y(t) = 2t{t-4 (αx1(t) + βx2(t))dt.

By the linearity property, we can write this as y(t) = α[2t{t-4 x1(T) dt}] + β[2t{t-4 x2(T) dt}].

Hence, the given system is linear.
c) A system is stable if every bounded input produces a bounded output.

Let's apply the bounded input to the given system with an input of x(t) = B, where B is a constant.Then, we have

y(t) = 2t{t-4 B dt} = - 2Bt² + 2Bt³.

We can see that the output is unbounded and goes to infinity as t approaches infinity.

Hence, the system is unstable. Therefore, the system is linear and unstable.

Thus, we have found the impulse response of the given system and checked whether the system is linear or not. We have also checked whether the system is stable or unstable. We found that the system is linear and unstable.

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Step-by-step explanation:

let's use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

so,

5.4/sin(K/2) = 12.3/sin(M1)

8.2/sin(K/2) = x/sin(M2)

M1 + M2 = 180 (as complementary angles or linear pair)

M2 = 180 - M1

sin(K/2) = 5.4×sin(M1)/12.3

sin(K/2) = 8.2×sin(M2)/x

therefore

5.4×sin(M1)/12.3 = 8.2×sin(180 - M1)/x

since sin(a) = sin(180 - a)

5.4×sin(M1)/12.3 = 8.2×sin(M1)/x

and then

5.4/12.3 = 8.2/x

x×5.4 = 8.2×12.3

x = 8.2×12.3/5.4 = 18.67777777... ≈ 18.7

Step-by-step explanation:Step-by-step explanation:

let's use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

so,

5.4/sin(K/2) = 12.3/sin(M1)

8.2/sin(K/2) = x/sin(M2)

M1 + M2 = 180 (as complementary angles or linear pair)

M2 = 180 - M1

The equation 15 + c² = 96 can be written as c² = 81, and the solutions to this equation are c = ±9.The correct answer is option A.

To solve the equation 15 + c² = 96, we need to rearrange it in the form ax² = c². By subtracting 15 from both sides of the equation, we get c² = 96 - 15, which simplifies to c² = 81.

Now, to find the value of c, we take the square root of both sides of the equation: √(c²) = ±√81. The square root of 81 is 9, so we have two possible solutions: c = ±9.

Therefore, the correct answer is A. c = plus or minus 9. This means that both c = 9 and c = -9 are solutions to the equation 15 + c² = 96.

It is important to note that the process described above is a standard algebraic method to solve quadratic equations and does not require any external sources or references.

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The probable question may be:

Solve the following equation by first writing the equation in the form ax²=c²

15+ c² = 96:

A. c= ±9

B. c=9

C. c= ± 9.79

D. c= 9.79

The headings that best complete the chart are "x: frequency" and "y: amplitude".

The information in the chart suggests that column 1 is related to changes in the frequency of a wave, while column 2 is related to changes in the height of a wave. Based on this information, the headings that best complete the chart are:

x: frequency

y: amplitude

Frequency refers to the number of wave cycles that occur in a second, and it is typically measured in Hertz (Hz). Amplitude refers to the height of a wave from its resting position to the highest point of the wave. These terms accurately describe the information presented in the chart, so they are the best headings to complete the chart.

Therefore, the headings that best complete the chart are "x: frequency" and "y: amplitude".

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Answer:

The correct answer is option D, or:

X: FM

Y: AM

Step-by-step explanation:

Edgen 2023!

Answer:

please see the picture

Step-by-step explanation:

Answer:

125ml of milk and 7.5g of butter

The code of the puzzle is 75.5 which is the sum of all the sides of the missing triangles.

Pythagorean triples are a collection of three positive numbers that fit into the Pythagorean theorem formula, which is written as, a² + b² = c², where a, b, and c are positive integers.

1.

Substitute the known values in the Pythagorean theorem formula, and solve for a:

a² + 8² = 12²

a² + 64 = 144

a² = 144 - 64

a² = 80

a = √80

a = 8.9

Similarly, solve the length of the missing side of the other triangles.

2. The missing side b = 14.5

3. The missing side c = 10.3

4. The missing side a = 18.8

5. The missing side b = 8

6. The missing side c = 15

Now, the sum of all the sides of the missing triangles as:

8.9 + 14.5 + 10.3 + 18.8 + 8 + 15 = 75.5

Thus, the code of the puzzle is 75.5.

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Answer: 13,663

Step-by-step explanation:

basically I multiply 427 and32 which u get 13,664 and then u subtract 1 and u get ur answe of 13663

Answer:

System A should be solved by elimination because you can easily cancel out the 3m to solve.

System B should be solved by substitution.  Since the an equation for the y value is given, you can easily substitute it into the other equation.

System C should be solved by graphing.  You don't have to worry about any slopes or intercepts to graph.  You can graph it using only whole numbers.

Answer:

y=-1/5x+6

Step-by-step explanation:

equation of the line that has a slope of -1/5

=> equation of the line is y= -1/5x + b

it passes through the point (-5;7) => 7= -1/5.(-5) + b

=> b= 6

=> equation of the line is y= -1/5x + 6

Answer:

8

Step-by-step explanation:

pls mark me brainliest

-5(x²-6x+9)+45-9

-5(x-3)²+36

Standard form

y= a(x-p)²+q

a=-5,p= 3 and q=36

axis of symmetry :x= p

=>x= 3

Hope it helps you...

Answer:

35

Step-by-step explanation:

Simplification :

7(a-b) as 7 is common
as we know a-b is 5 ,

7 * 5 = 35 in the answer.

Please mark me as the brainliest TQ!

Answer: 35

Step-by-step explanation:

7a - 7b

= 7(a-b)

= 7(5)

= 35

Answer: Yes, because the total height will be 185 ft, which is less than the 310 ft limit.

Step-by-step explanation:

\(20+(15)(11)=185 < 310\)

The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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Answer:  130°

Step-by-step explanation:

∠ABD = 100° (given)

∠DBC = 30° (given)

Angle Addition Postulate states: ∠ABD + ∠DBC = ∠ABC

                                                         100°  +    30°  = ∠ABC

                                                                 130°        = ∠ABC

Answer:

130°

Step-by-step explanation:

Given: m<ABD=100° and m<DBC=30°

To find m<ABC, we must add up the two other angles.

100°+30°=130°

Hope this helped :D

(a) You are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.

(b) You are approximately 13.00 meters away from the center of town at an angle of -67.38°.

(c) You are approximately 57.45 meters away from the center of town at an angle of 3° North of East.

(d) You walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).

(a) Given:

Distance from the center of town = 14.2 meters

Angle North of East = 190°

(i) To find how far East (+x) of the town center you are, we can use trigonometry. The horizontal component (East) is given by:

Distance East = Distance from center * cos(Angle)

Distance East = 14.2 * cos(190°) ≈ -11.79 meters

(ii) To find how far North (+y) of the town center you are, we can use trigonometry. The vertical component (North) is given by:

Distance North = Distance from center * sin(Angle)

Distance North = 14.2 * sin(190°) ≈ -2.98 meters

Therefore, you are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.

(b) Given:

Distance North (+y) of the center = 12.00 meters

Distance East (+x) of the center = -5.00 meters

(i) To find the distance from the center of town, we can use the Pythagorean theorem:

Distance from center = √((Distance North)² + (Distance East)²)

Distance from center = √((12.00)² + (-5.00)²) ≈ 13.00 meters

(ii) To find the angle, we can use trigonometry. The angle is given by:

Angle = atan(Distance North / Distance East)

Angle = atan(12.00 / -5.00) ≈ -67.38°

Therefore, you are approximately 13.00 meters away from the center of town at an angle of -67.38°.

(c) Given:

Distance from the center of town = 44.0 meters

Angle North of East = 23°

Distance walked = 30.0 meters

Angle of walking North of East = 160°

(i) To find the new distance from the center of town, we can use the Law of Cosines:

New distance from center = √((Distance from center)² + (Distance walked)² - 2 * Distance from center * Distance walked * cos(Angle of walking))

New distance from center = √((44.0)² + (30.0)² - 2 * 44.0 * 30.0 * cos(160°)) ≈ 57.45 meters

(ii) To find the new angle, we can use the Law of Sines:

New angle = Angle + Angle of walking - 180°

New angle = 23° + 160° - 180° ≈ 3°

Therefore, you are approximately 57.45 meters away from the center of town at an angle of 3° North of East.

(d) Given:

Distance from the center of town = 22.0 meters

Angle North of East = 123°

Distance walked = 40.0 meters

Direction = West (-x)

(i) To find the new distance from the center of town, we can use the Pythagorean theorem:

New distance from center = √((Distance from center)² + (Distance walked)²)

New distance from center = √((22.0)² + (40.0)²) ≈ 45.28 meters

(ii) To find the new direction, we can subtract the angle of walking from the original angle:

New angle = Angle - 90°

New angle = 123° - 90° ≈ 33°

Therefore, you walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).

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The average working hours of the employee is 5.7 hours per day.

To find the average working hours of the employee, we need to add up all the working hours for the 10 days and then divide by 10 (the number of days):

10 + 5 + 7 + 4 + 8 + 6 + 7 + 6 + 4 = 57

Now we divide by 10:

57 / 10 = 5.7

Therefore, the average working hours of the employee is 5.7.

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Answer:

519

Step-by-step explanation:

or 519.125

The maximum amount of profit the company can make, to the nearest dollar should be considered as the $519.

Since the amount of profit made expressed as \(y=-2x^2+105x-859\)

Now

At maximum profit, dy/dx = 0

So,

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Now

\(y=-2x^2+105x-859\\\\y=-2(26.25)^2+105(26.25)-859\)

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519.

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Answer:

The answer is C.

Step-by-step explanation:

So reduce the expression with √3.

So you're left with 50/√2 • 80√5

So you multiply it.

4000√5/√2

Rationalize the denominator

2000√10

Answer:

The answer is C!

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The number that represents a value of 9 hundredths is 0.392

For a number to have a value of 9 hundredths, the number must be represented as:

a.b9cd

Where a, b, c and d are integers

From the list of options, we have:

0.392

This means that

a = 0

b = 3

c = 2

Hence, the number that represents a value of 9 hundredths is 0.392

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Answer:

A: Isosceles (two sides the same)

B: Equilateral (all sides the same)

C: Scalene (all sides different)

Step-by-step explanation:

190 student tickets were sold.

Let's assume the number of adult tickets sold is "A" and the number of student tickets sold is "S." According to the given information:

The price of an adult ticket is $3.00, so the revenue from adult tickets is 3A dollars.

The price of a student ticket is $1.50, so the revenue from student tickets is 1.5S dollars.

The total number of tickets sold is 260, so A + S = 260.

The total revenue from all tickets sold is $495.00, so 3A + 1.5S = 495.

We can solve this system of equations to find the values of A and S. First, let's solve the A + S = 260 equation for A:

A = 260 - S

Now substitute this value of A in the second equation:

3(260 - S) + 1.5S = 495

780 - 3S + 1.5S = 495

-1.5S = 495 - 780

-1.5S = -285

S = -285 / -1.5

S = 190

Therefore, 190 student tickets were sold.

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Answer:

C

Step-by-step explanation:

To find (g ￮ f)(x), substitute x = f(x) into g(x) , that is

g(2x - 5)

= 3(2x - 5) + 4

= 6x - 15 + 4

= 6x - 11 → C

The expression x^2 + 22x + c becomes a perfect square trinomial if the value of c is 121, so the correct option is A.

A perfect square trinomial is written as:

(a + b)^2 = a^2 + 2ab + b^2

Here we have the expression:

x^2 + 22x + c

We can rewrite the second term in such a way that we get:

x^2 + 2*11*x + c

comparing this with the form of the general perfect square trinomial we can see that:

a = x

b = 11

Then the value of c must be 11^2 = 121

Then we have:

x^2 + 2*11*x + 121 = (x + 11)^2

The correct option is A.

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Answer:

y = -x - 1

Step-by-step explanation:

y = mx +c

y = -x + c [ m = slope]

As the line passes through (4,-5)

-5 = -4 + c [Substituting value of x and y]

c = -1 [Solving the above equation]

The correct statement is that Ursula has incurred the finance charge of 46.17% about for the loan amounting to $6400. So, the correct option matching the statement is not as quoted in the options above.

Finance charge can be calculated by summarizing and comparing the principal amount with the annuity amount derived by the formula of compound interest.

Hence, the correct option is that Ursula has borne the financial charge as 46.17% of her principal.

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We can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

Based on the line of best fit for the data, we can estimate the number of servings of kakigori Cho will sell on a day when the high temperature is 29° Celsius.

From the scatter plot, we can see that the line of best fit is increasing as the temperature increases.

By estimating the value on the line of best fit for the temperature of 29° Celsius, we can approximate the number of servings sold. Based on the scatter plot, it appears that the number of servings sold is around 100 when the temperature is 29° Celsius.

Therefore, we can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

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