7. A watch loses 8 seconds every hour. It was set to read the correct time at 1100 h on Sunday. Determine the time, in a 12-hour system, the watch will show on the following Thursday when the correct time is 0500 h. ​

Answer:

63 is the least common multiple of 7 and 9

Step-by-step explanation:

There is no number smaller than 63 that could be used as the the least common multiple so multiply 7 and 9. My friend daffy duck told me, math is mystery.

Zeros of the given polynomial are -2, 2, -3/2, 3/2

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)

1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0

4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0

(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0

(x+2)(x-2)(2x+3)(2x-3) = 0

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

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Answer:

D=7.83

Step-by-step explanation:

All finite subgroups of C* are the trivial subgroup, the subgroup of roots of unity, the cyclic subgroups, and the subgroup consists of all powers of a single nonzero complex number

Let's explore the finite subgroups of C*, the group of nonzero complex numbers under multiplication.

First, let's recall that C is isomorphic to the group (R, +), where R represents the set of real numbers under addition.

Thus, we can view C as the group of real numbers excluding 0 under multiplication.

Now, since we are looking for finite subgroups, let's consider the possible finite subgroups of C*:

The trivial subgroup:

This consists of the identity element 1, which is the only element in this subgroup.

The subgroup of roots of unity:

This subgroup consists of complex numbers of the form \(e^{2\pi i/n}\), where n is a positive integer.

These numbers are all of finite order, with order n.

This subgroup is isomorphic to the group Zn of integers modulo n under addition.

The cyclic subgroups:

These subgroups are generated by a single nonzero complex number.

The order of the generator determines the order of the subgroup.

For example, if we take a complex number z and generate a subgroup, it will consist of z, z², z³, and so on, until we reach zⁿ = 1, where n is the order of the subgroup.

The subgroup consists of all powers of a single nonzero complex number:

This is similar to the cyclic subgroups, but instead of considering the powers of a single element, we consider the powers of all nonzero complex numbers.

This subgroup is isomorphic to the group of integers Z under addition.

These are the main types of finite subgroups of C. Each of these subgroups has its own unique properties and structure, making C a fascinating group to study.

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Answer:

-1.4 or -7/5

Step-by-step explanation:

make them improper then subtract

Answer:-1.40

Step-by-step explanation: 6 1/5= 6.20 and (-7 3/5)=-7.60

 6.20 = -7.60 is the same as 6.20-7.60=-1.40

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(14)+(-11)=3

\(\\ \bull\tt\longrightarrow T_n=n^2+2n+9\)

\(\\ \bull\tt\longrightarrow T_1=1^2+2(1)+9=1+2+9=12\)

\(\\ \bull\tt\longrightarrow T_2=2^2+2(2)+9=4+4+9=17\)

\(\\ \bull\tt\longrightarrow T_3=3^2+2(3)+9=9+6+9=24\)

Answer:

8

Step-by-step explanation:

If 8x = 4, then you can solve for x by dividing both sides by 8. Therefore, x = 4/8 or 1/2.

Then to solve 2 + 12x you simply plug in 1/2 for x.

2 + 12x

2 + 12(1/2)

2 + 6

8

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

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\( \sqrt{32} \times \sqrt{ \frac{1}{18} } \\ = \sqrt{32} \times \frac{ \sqrt{1} }{ \sqrt{18} } \\ = \sqrt{32} \times \frac{1}{ \sqrt{18} } \\ = \frac{\sqrt{2 \times 2 \times 2 \times 2 \times 2}}{ \sqrt{2 \times 3 \times 3} } \\ = \frac{ \sqrt{ {2}^{2} \times {2}^{2} \times 2} }{ \sqrt{2 \times {3}^{2} } } \\ = \frac{2 \times 2 \times \sqrt{2} }{3 \times \sqrt{2} } \\ = \frac{4 \times \sqrt{2} }{3 \times \sqrt{2} } \\ = \frac{4}{3} \)

\( \frac{4}{3} \)

ray4918 here to help

Answer:

5 is the base

4 is the exponent

Answer:

5 units

Step-by-step explanation:

Diameter = two times the radius so the answer is 5 units.

Answer:

El área de la casa es de 1,304 m²

Step-by-step explanation:

De las dimensiones dadas en línea, tenemos que el área del jardín = 640 m²

Las dimensiones del jardín son;

Longitud = 40 m.

Ancho = a m

Por lo tanto, 40 × a = 640

a = 640/40 = 16 m

La dimensión del compuesto es así;

Longitud = 40 + 14 = 54 m

Ancho = 20 + a = 20 + 16 = 36 m

El área del compuesto = Área de la casa + Área del jardín

El área del compuesto = Ancho del compuesto × Longitud del compuesto

El área del compuesto = 36 × 54 = 1,944 m²

∴ 1,944 m² = Área de la casa + Área del jardín

1,944 m² = Área de la casa + 640 m²

Área de la casa = 1,944 m² - 640 m² = 1,304 m²

El área de la casa = 1,304 m².

Step-by-step explanation:

No because he had 14 and needs 16

The mean, variance, and standard deviation for n = 295 and p = 0.21 by using binomial distribution are

61.95, 48.8125, and 6.988, respectively.

The binomial distribution, which is a type of probability distribution, is used to calculate the probability of a certain number of successes (or failures) in a given number of trials. The mean, variance, and standard deviation of a binomial distribution can be calculated using the following formulas:
Mean (μ) = np
Variance (σ²) = npq
Standard deviation (σ) = √(npq)
Where n is the number of trials, p is the probability of success in a single trial, and q is the probability of failure in a single trial (q = 1 - p).

Part 1 out of 4: n = 295, p = 0.21
Using the formulas above, we can calculate the mean, variance, and standard deviation for this binomial distribution.
Mean (μ) = np

= 295 × 0.21 ⇒61.95
Variance (σ²) = npq

= 295 × 0.21 × 0.79 ⇒ 48.8125
Standard deviation (σ) = √(npq)

⇒ √(48.8125) = 6.988

Therefore, the mean, variance, and standard deviation for n = 295 and p = 0.21 are 61.95, 48.8125, and 6.988, respectively.

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Answer:

Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.

Step-by-step explanation:

Con la información proporcionada, sabes que la edad de los tres suma 48, lo que se puede expresar como:

x+y+z=48, donde:

x es la edad de Guido

y es la edad de Andrés

z es la edad de David

Además, de acuerdo al enunciado puedes decir que la edad del papá Andrés es cuatro veces la edad de Guido y que la edad de David es la tercera parte de la edad de Guido y puedes escribir las siguientes ecuaciones:

y=4x

z=x/3

Ahora puedes reemplazar estas dos ecuaciones en la primera y despejar x:

x+4x+x/3=48

5x+x/3=48

16x/3=48

16x=48*3

16x=144

x=144/16

x=9

Después, puedes reemplazar el valor de x en y=4x para encontrar el valor de y:

y=4x

y=4*(9)

y=36

Finalmente, debes reemplazar el valor de x en z=x/3 para encontrar el valor de z:

z=x/3

z=9/3

z=3

De acuerdo a esto, Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.

The required number of non-equal triangles with integer sides and perimeter 2023 is 672.

Let us try to understand this problem below.

Step-by-step explanation: We know that the perimeter of a triangle is the sum of its sides. Let the sides of the triangle be a, b, and c. Therefore,

a + b + c = 2023

As the triangle is non-equal, all three sides must be distinct. Thus, we can write, a + b > c, b + c > a, and c + a > b.

Based on the above conditions, we can say that a < 1012, b < 1012, and c < 1012. Also, we can say that a + b > 1010, b + c > 1010, and c + a > 1010. Thus, we need to find the number of non-negative integer solutions for the equation a + b + c = 2023, where a, b, c are such that a < 1012, b < 1012, and c < 1012 and a + b > 1010, b + c > 1010, and c + a > 1010. Now, using the following formula:

Number of non-negative integer solutions for the equation a + b + c = n is (n+2)C2.

Thus, the number of non-equal triangles with integer sides and perimeter 2023 is (1011+2)C2 = 1013*506

= 512678.

Conclusion: Therefore, the required number of non-equal triangles with integer sides and perimeter 2023 is 672.

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Answer:

y = -6x - 10

Step-by-step explanation:

(-2, 2), m = -6

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = -6(x + 2)

y - 2 = -6x - 12

y = -6x - 10

Using the created proportion for each set of similar triangles, the missing side lengths are 3√29 units and 24 units respectively

Similar triangles are triangles that have the same shape, but not necessarily the same size. Two triangles are similar if and only if they have the same shape, meaning they have the same angle measures.

For the 1st triangles, we can write the proportion as follows:

proportion = (√29)/5

(√29)/5 = x/15

x = 15 × (√29)/5

x = 3√29 units

Thus, the missing side length is 3√29 units

For the 2nd triangles, we can write the proportion as follows:

proportion = 12/13

12/13 = x/26

x = 26 × (12/13)

x = 24 units

Thus, the missing side length is 24units

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A correlation coefficient of 0.05 indicates a very weak positive correlation between the number of bedrooms and selling price.

When Bob calculates the correlation between the number of bedrooms in a home and its selling price and obtains a value of only 0.05, he can conclude that there is little to no linear relationship between the two variables.

Correlation is a statistical measure that indicates the degree to which two variables are related and the direction of the relationship. A correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

A correlation coefficient of 0.05 is very close to 0, indicating that there is almost no linear relationship between the number of bedrooms in a home and its selling price.

However, it is important to note that a low correlation coefficient does not necessarily mean that there is no relationship between the variables, as there could be a non-linear relationship or other types of relationships that cannot be captured by a correlation coefficient.

Therefore, Bob should further analyze the data set and explore other statistical measures or techniques to fully understand the relationship between the number of bedrooms in a home and its selling price.

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Step-by-step explanation:

(a) To find the position of the car when it has zero velocity, we need to find the times at which the velocity, x'(t), is equal to zero. The velocity of the car is given by:

x'(t) = (4.85m/s^2)t^2 - (0.100m/s^6)t^6

Setting x'(t) equal to zero and solving for t, we find:

0 = (4.85m/s^2)t^2 - (0.100m/s^6)t^6

t^2 = (0.100m/s^6)t^6 / (4.85m/s^2)

We can't solve for t analytically, but we can use numerical methods to find approximate values for the two times at which the velocity is equal to zero.

The first instant is approximately t = 0.68 s and the second instant is approximately t = 2.28 s.

Using these values for t, we can find the positions of the car at these instants:

x(0.68s) = 2.31m + (4.85m/s^2)(0.68s)^2 - (0.100m/s^6)(0.68s)^6

x(2.28s) = 2.31m + (4.85m/s^2)(2.28s)^2 - (0.100m/s^6)(2.28s)^6

(b) The acceleration of the car is given by the derivative of its velocity, x'(t):

x''(t) = 2(4.85m/s^2)t - 6(0.100m/s^6)t^5

Using the values of t from part (a), we can find the acceleration of the car at the instants when it has zero velocity:

x''(0.68s) = 2(4.85m/s^2)(0.68s) - 6(0.100m/s^6)(0.68s)^5

x''(2.28s) = 2(4.85m/s^2)(2.28s) - 6(0.100m/s^6)(2.28s)^5

Answer:

The answer is

Step-by-step explanation:

8617+ 3489= 12106 books for loan

I don't know if its correct

From the posted speed limit is 65 miles per hour, all the metric measures that are greater than 65 miles per hour are:

Given  65 miles per hour,

we can convert this to miles per hour using the conversion rate of

1  miles per hour = 1.60934 km per hour

Then, let  X = the speed limit in  km per hour

65 miles per hour = X

 1  miles per hour = 1.60934 km per hour

X= (65 miles per hour *  1.60934 km per hour )

=104.6071 km per hour

Therefore, the third and fourth options are correct.

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Solution

- The solution steps are given below:

Final answer

The mean is μ = 3.2

Answer:

1

Step-by-step explanation:

Answer:

14 x + 1

Step-by-step explanation:

You aren't dumb, your teacher can't teach!

First we must add the x values together:

8x - 7 + 6x + 8

8 + 6 = 14

14x -7 + 8

Now we add the constants (regular numbers):

14x -7 + 8

-7 + 8

14x +1

There we go!

8x -7 + 6x +8

is

14x +1

Kindly check picture to the question below.

Answer:

150 minutes

Step-by-step explanation:

Volume of prism = height * base area

Height of prism = 1m

Base area = area of a trapezium

Area of trapezium = 0.5(a + b) h

a, b = parallel sides, h= height of trapezium

Area of trapezium = 0.5(1.4+0.6)*2

Area = 0.5(2)*2 = 2m²

Hence,

V of prism = area of trapezium * height of prism

Volume = 2m² * 1m = 2m³

Decrease in water level due to pumping

20cm decrease in 30minutes

(20/100)m in 30 minutes

0.2 m decrease in height of water

Hence, height of water in prism after 30 minutes pumping :

height - 0.2 = 1 - 0.2 = 0.8m

Volume after 30 minutes of pumping :

Base area * new height

2m² * 0.8m = 1.6m³

Decrease in volume over 30 minutes :

(Initial volume - volume after pumping)

2m³ - 1.6m³ = 0.4m³

If ;

0.4m³ = 30 minutes

1.6m³ = x

0.4x = 48

x = 48 / 0.4

x = 120

Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.

Hence, total wait time :

120 minutes + 30 minutes

= 150 minutes

Answer:

The answer is C (square root of 4)

Step-by-step explanation:

Answer:

The answer is C (square root of 4)

Step-by-step explanation:

Because you