share £40 in the ratio 1:3:4

The equation the graph below represent is

C. y = sin(0.3x)

Sine waves or sinusoidal waves are the graphs of functions that are defined by the equation y = sin x.

The graph repeats itself as it advances along the x-axis, as you can see. Periods are the cycles of this predictable repetition. Every 6.28 units, or 2 pi radians, this graph repeats.

The sine graph in the problem starts at (0, 0)

The equation is y = A sin (Bx + C)

A is the  amplitude of the graph

= (1 -(-1))/2 = 1

B is period / 2π

period = 2π/3

B = 2π/3 / 2π = 1/3 = 0.3

C is the phase shift = 0

plugging in the values

y = 1 * sin (0.3x + 0)

y = sin(0.3x)

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Answer:

\( {(x - 3) + (y - 5)}^{2} = 64\)

The center is (3, 5), and the radius is 8.

Answer:

1)D 2)A 3)D 4)A 5)A

I hope this help but in question 6 you can report

If the set {u1, u2, u3} spans R3 and A = [u1 u2 u3], then the nullity of A is 0, meaning there are no linearly independent vectors that satisfy the equation Ax = 0.

To determine the nullity of matrix A, we need to find the number of linearly independent vectors that satisfy the equation Ax = 0. Since the set {u1, u2, u3} spans R3, we know that any vector in R3 can be expressed as a linear combination of these three vectors. Thus, the equation Ax = 0 has a nontrivial solution if and only if the three vectors u1, u2, and u3 are linearly dependent. If they are linearly dependent, then one of them can be expressed as a linear combination of the other two, and we can eliminate that vector from the matrix A. This means that the nullity of A is equal to the number of linearly dependent vectors in the set {u1, u2, u3}. Since the set spans R3, it must contain three linearly independent vectors, and therefore the nullity of A is 0.

In summary, if the set {u1, u2, u3} spans R3 and A = [u1 u2 u3], then the nullity of A is 0, meaning there are no linearly independent vectors that satisfy the equation Ax = 0.

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Answer:

1500 dollars

Step-by-step explanation:

annual means yearly and we want to find how much it will cost for 5 months

First thing we want to do is find how much it cost every month and to do that we divide 3600 by 12

3600/12=12 so it cost 300 dollars monthly

then we just multiply that by 5

5x300=1500 so it cost 1500 dollars for 5 months

Answer:

Step-by-step explanation:

1500 for 5 momth

(3600*5)/12

The length of the curve r(t) = i + 6t²j + t³k, 0 ≤ t ≤ √84 is as follows;First, let us evaluate the first derivative of r(t) which is given as r'(t) = 0i + 12tj + 3t²k;

Next, we'll evaluate the magnitude of the first derivative of r(t) which is given as |r'(t)| = sqrt(12² + 3²t⁴);After that, we will integrate the magnitude of the first derivative of r(t) using the limits of integration given: 0 to sqrt(84);Finally, we'll evaluate the integral by simplifying it and substituting in the limits of integration:L = ∫0^√84 sqrt(12² + 3²t⁴) dt

The formula to find the length of a curve r(t) is given as L = ∫a^b |r'(t)| dt where r(t) is a differentiable vector function and a and b represent the starting and ending points of the curve respectively. Also, |r'(t)| represents the magnitude of the first derivative of r(t).Having obtained the first derivative of r(t) as r'(t) = 0i + 12tj + 3t²k, we evaluated the magnitude of the first derivative of r(t) using the formula given as |r'(t)| = sqrt(12² + 3²t⁴).Finally, we integrated the magnitude of the first derivative of r(t) using the limits of integration which is 0 and sqrt(84). We arrived at the final solution by substituting the limits of integration and solving for L as shown below:L = ∫0^√84 sqrt(12² + 3²t⁴) dt= 168/5(84)^(5/4) ≈ 120.4 units

Therefore, the length of the curve r(t) = i + 6t²j + t³k, 0 ≤ t ≤ √84 is 120.4 units.

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Answe : True

Step-by-step explanation: I got this answer right on my quiz

The  area of sector EFG is 246.18 unit².

A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

Here, Given: m∠EFG = 144° = 144 Xπ/180°

                                   = 2.512 radians

                    EF = 14 units

We know that, Area of Sector = r² X α/2

                           A = 14² X 2.512/2

                          A = 246.18 unit²

Thus, the  area of sector EFG is 246.18 unit².

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Answer: 1/1

Step-by-step explanation:to multiply fractions, multiply straight across. (4*3)/(15*8)=12/120, this reduces to 1/10.

you could also reduce from top to bottom before multiplying. 4/15 *3/8. 4/8*3/15=1/2*1/5=1/10

Answer:

D

Step-by-step explanation:

Answer:

Slope =3

Y- intercept =(0,-4)

Step-by-step explanation:

The problem given in the question can be solved by using the Bayes theorem. Let us define the following events:R : It will rain today.R’ : It will not rain today.T : There will be traffic during the rush hour today.T’ : There will not be any traffic during the rush hour today.

The probability that it will rain today is given as P(R) = 0.29.On days it rains, the probability that there will be traffic during the rush hour today is given as P(T|R) = 0.66. On days it does not rain, the probability that there will be traffic during the rush hour today is given as P(T|R’) = 0.29.We have to calculate the probability that there will be traffic during the rush hour today, i.e. P(T).The Bayes theorem is given as:

P(T) = P(R)P(T|R) + P(R’)P(T|R’)P(T) = 0.29 × 0.66 + 0.71 × 0.29 = 0.1934 + 0.2059

We are given that it rains 29% of the time where you live. On the days it rains, the probability that there will be traffic during the rush hour today is given as 66%. On the days it does not rain, the probability that there will be traffic during the rush hour today is given as 29%. We are required to find the probability that there will be traffic during the rush hour today, i.e. P(T).The solution to the problem can be found by using the Bayes theorem. Let us define the following events:R : It will rain today.R’ : It will not rain today.T : There will be traffic during the rush hour today.T’ : There will not be any traffic during the rush hour today.The probability that it will rain today is given as P(R) = 0.29.On days it rains, the probability that there will be traffic during the rush hour today is given as P(T|R) = 0.66. On days it does not rain, the probability that there will be traffic during the rush hour today is given as P(T|R’) = 0.29.The Bayes theorem is given as:

P(T) = P(R)P(T|R) + P(R’)P(T|R’)P(T) = 0.29 × 0.66 + 0.71 × 0.29 = 0.1934 + 0.2059

Therefore, the probability that there will be traffic during the rush hour today is 0.3993.

The probability that there will be traffic during the rush hour today is 0.3993.

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Answer:

9

Step-by-step explanation:

if you divide 225 by 25 u get 9

Answer:

225/25 = 9

Step-by-step explanation:

took the test

Answer:

70 mph

Step-by-step explanation:

(140 miles) / (2 hours) = 70 mph

Yes, the integer is divisible by 3.

To determine if r is divisible by 3, we must first determine the value of r. According to statement 1, r is the product of 4 consecutive positive integers.

This means that the 4 integers must be increasing by 1 each time. The smallest integer must be 1, and the 4th integer must be 4 higher than the first, making it 5.

The product of these 4 integers is 1 x 2 x 3 x 4 = 24, which is less than 25.

Since 24 is divisible by 3, r is also divisible by 3.

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Answer:

-3÷8 or -0.375

Step-by-step explanation:

-3÷8÷1=-3÷8×1÷1=-24÷8=-3

The component form of the vector that translates A to A' is (11, -17)

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

In translation, the shape of the figure does not change but its size may change.

Other transformation processes are reflection and rotation.

The component form of the vector is governed by the rule; A' - A

so we subtract corresponding x- coordinates and corresponding y- coordinates

A' - A = (7, -9) - (-4, 8)

       = ( 7 - - 4, -9 - 8)

       -= ( 11, -17)

In conclusion, the vector that translates A to A' is ( 11, -17 )

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Answer:

So Cora filled  32  half-cup bags with flour.

Step-by-step explanation:

First, how many 1/2 cups of flour make 16 full cups? This is like asking how many times does 1/2 go into 16. So divide 16 cups by 1/2 cup.

16 cups12 cups=16÷12

=161×21=32.

Notice that the cups symbols canceled out because of the division, so that only the number of bags ( 32 ) is left.

So Cora filled  32  half-cup bags with flour.

Answer:

Step-by-step explanation:

Total is:

Answer: $41.89

Step-by-step explanation:

You first need to find out how much the tip was. Put the percent into decimal form and multiply it by the price of the meal.

0.18 x 35.50 = 6.39

add the tip to the meal price

6.39+35.50=41.89

$41.89

Hope this helps!

let's firstly get its equation and then find the x-intercept, keeping in mind that the x-intercept occurs when y = 0.

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 2}(x-\stackrel{x_1}{3}) \qquad \implies\quad \stackrel{\textit{setting y = 0}}{0-4=-2(x-3)} \\\\\\ -4=-2x+6\implies -10=-2x\implies \cfrac{-10}{-2}=x\implies 5=x~\hfill \boxed{\stackrel{x-intercept}{(5~~,~~0)}}\)

Answer:

constant -10

Explanation:

To get the constant we multiply the constants of each term

which is our answer!

Answer:

The quotient is (x-2)

Step-by-step explanation:

Explanations:

The expression is given as:

The values of x given in the tables are: x = 1, x = 2, x = 3

Let us find the values of f(x) for each value of x and see which of the tables is correct.

Therefore, the values of f(x) for x = 1, 2, 3 are 6, 18, and 54 respectively. The third table (option C) is the right choice.

The Answer I believe is the 3rd Box

The simplified exponential expression for this problem is given as follows:

(3² x 5)³ = 3^6 x 5³.

The exponential expression for this problem is defined as follows:

(3² x 5)³.

As we have a product applied to the exponent, the exponent can be applied to each factor of the exponent, as follows:

(3²)³ x 5³.

Applying the power of power rule, we have that:

(3²)³ = 3^(2 x 3) = 3^6.

Hence the simplified exponential expression for this problem is given as follows:

(3² x 5)³ = 3^6 x 5³.

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Answer:

Hope the picture will help you

Answer:

Step-by-step explanation:

hope this helps!!!!

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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