is 3.14 a terminating decimal ?​

The probability of an investor choosing both stocks AND bonds from portfolio B is 0.25 or 25%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

A financial planner has three portfolios: A, B, and C.

Each portfolio has stocks and Bond

P(stock) = 0.5

P(bond) = 0.5

Customers are equally likely to choose stocks.

P(stock and bond from B) = P(stock, B) + P(bond, B)

= 0.25×0.5 + 0.25×0.5

= 0.25 or

= 25%

Thus, the probability of an investor choosing both stocks AND bonds from portfolio B is 0.25 or 25%.

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The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Answer:

slope: -9  y-intercept: -6

Step-by-step explanation:

the equation y = mx + b is the equation to find the slope and y intercept where m is the slope and b is the y intercept so change your equation to get y on one side so you would subtract 9x from both sides so it would then be y = -9x -6 where -9 is the slope and -6 is the y intercept

The area painted is 376.8 sq. inches (approximately)

We can start solving the problem by calculating the radius of the base of the rod. We can use the formula for the circumference of a circle:

circumference = 2πr

Where r is the radius of the circle.

Given that the circumference of one of the bases of the rod is 12π inches, we can set up the equation:

12π = 2πr

r = 12π/2π = 6

So the radius of the base of the rod is 6 inches.

Now we can use the radius to find the area of one base of the rod. The area of a circle is given by the formula:

A = πr²

So the area of one base of the rod is:

A = π × 6² = 36π

Now we can use the length and radius of the rod to find the lateral surface area of the rod.

The formula for the lateral surface area of a cylinder is :

L.S.A = 2πrh

Where h is the height of the cylinder. In this case, the height of the cylinder is 4 inches.

L.S.A = 2π × 6 × 4 = 48π

So the lateral surface area of the rod is 48π inches.

Finally, to find the total area painted, we can add the area of the two bases and the lateral surface area.

Total area painted = 2 × 36π + 48π = 120π sq inches.

Now we can use π≈3.14 and get the area painted to the nearest tenth.

Total area painted = 120×3.14 = 376.8 sq. inches

Therefore, the area painted is 376.8 sq. inches (approximately)

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11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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Answer:

Step-by-step explanation:

The second graph is the right one.  Note that when x = 1, y (the maximum) is 4, and that the x-intercepts are -3 and 1.

The x-intercepts are -3 and 1.

We have given,

A parabola has a maximum value of 4 at x = -1,

A y-intercept of 3, and an x-intercept of 1.

The maximum value of a graph is the point on the graph where the y-coordinate has the largest value.

A maximum graph is one that represents the largest value of the y-coordinate.

The second graph is the right one.

Note that when x = 1, y (the maximum) is 4,

and that , The x-intercepts are -3 and 1.

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Using the given endpoint R  (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

R (8, 0 ) and M (4, -5 )

Let 'S' be (x2,y2)

Apply the midpoint formula

\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\)

Endpoint R is (x1,y1) that is (8,0)

Substitute the values and make it equal to M(4,-5)

\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10\)

So other endpoint S is (0,-10)

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Answer:

-5

Step-by-step explanation:

Distribute 4(x+6) = 4x+6

Since the angle are congruent to eachother set them equal to oneanother

4x+6 = 5x+11

Subtract 4x on both sides.

6 = x+11

Subtract 11 on both sides.

-5 = x

The required function when the parent function is stretched comes to be \(f(x)=x^{3} +4\).

The parent function is:

\(f(x)=x^3\)

If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.

Given function \(f(x)=x^3\) is vertically shifted by 4 units

So, f(x) will become f(x)+4

\(f(x)+4 = x^{3} +4\)

So, the required function is \(f(x)=x^{3} +4\)

Therefore, the required function when the parent function is stretched comes to be \(f(x)=x^{3} +4\).

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Answer:

A

Step-by-step explanation:

edge, 2022

The system of equations y = (1/3)x + 7 and y = -2x³ + 5x² + x - 2 will have 1 solution thus option (B) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In other words, the equation must be constrained with some constraints.

As per the given equations,

y = (-1/3)x + 7 and y = -2x³ + 5x² + x - 2

The graph of both equations has been plotted below,

The number of points where both curves cut each other = 1

Thus, the number of solutions = 1

Hence "The system of equations y = (1/3)x + 7 and y = -2x³ + 5x² + x - 2 will have 1 solution".

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Answer:

1 solution

Step-by-step explanation:

Plato/Edmentum

Answer:

Step-by-step explanation:

what the hell is this

Answer:

it should be that

Step-by-step explanation:

EQUATION GIVES YOU  IF YOU KNOW

v=d/t Speed Distance time

d = v x t Distance Speed and time

t = d/v Time Distance and speed

Answer:

Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.

And by other way, use point as a y and make formula

\(x= \frac{y}{m} + b \)

Answer:

it's 42

Step-by-step explanation:

6 7's

6 12 28 24 30 36 42

Answer:

the answer is 38.5 feet

Step-by-step explanation:

divide 7 by two the multiply by 11

The university grew at an average percentage rate of approximately 15.36% per year.

1. In order to find the average percentage growth rate, we will use the formula for geometric mean growth rate:
Growth Rate = ((Ending Value / Starting Value)^(1 / Number of Years)) - 1
2. In this case, the starting value is 1,200 students, the ending value is 5,200 students, and the number of years is 10.
Growth Rate = ((5,200 / 1,200)^(1 / 10)) - 1
3. Calculate the values:
Growth Rate = (4.3333^(1 / 10)) - 1
Growth Rate = 1.1536 - 1
Growth Rate = 0.1536
4. Convert the decimal to a percentage:
Growth Rate = 0.1536 * 100 = 15.36%

Hence, Based on the geometric mean, the local university grew at an average percentage rate of approximately 15.36% per year over the 10-year period.

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Answer:

A.) 8     B.) -147

Step-by-step explanation:

A.) Divide 32 by 4. 32/4 = 8
B.) Multiply -49 by 3. -49 x 3 = -147

Your answer: B) Statistically significant and quite small MPG prediction errors
This statement best describes the regression, as it indicates that the relationship between the variables is statistically significant.

Without specific data or statistical analysis, it is impossible to accurately determine which statement best describes the regression for y = highway miles per gallon in 91 cars. However, in general, a statistically significant regression means that there is a relationship between the variables being analyzed. The error in predictions refers to the difference between the predicted value and the actual value.

Therefore, A) statistically significant but large error in the MPG predictions and B) statistically significant and quite small MPG prediction errors could both be possible outcomes depending on the specific data and analysis. C) Not quite significant, but predictions should be very good is unlikely to be a valid statement if the regression is not statistically significant.
Additionally, the small MPG prediction errors suggest that the regression model is reliable and accurate in making predictions for highway miles per gallon in the 91 cars.

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Answer:

True

Step-by-step explanation:

You can have -20 dollars and you can have 20 dollars

Answer:

True

Step-by-step explanation:

You owe $20. You pay $10. You still owe $10

-20 + 10 = -10

The spring constant of the spring is k = 1.4 × 10⁴ N m⁻¹

Spring Constant is the measure of stiffness of a spring . The greater this constant , the more force will need to be applied to stretch or compress the string.

According to the question,

The mass of safe : m = 800kg

The height of high duty spring is 1.9 m

According to Hooke's law,

The force applied to a compress a string F is equal to the product of the spring constant k and the displacement of the string x

F= kx ------(1)

According to the Newton's law of motion,

The force of of an object F is equal to the product of the object's mass m and its acceleration a ,  which for a falling object is equal to the acceleration due to gravity

G =  9.8 m s⁻²

Therefore , F = ma =mg (using equation 1)

The force of the falling object is equal to the force applied to the spring => mg = kx

=> k = mg/x

substituting the values of m , x and g

=> k = (800)( 9.8) / 0.58

=> k = 1.4 × 10⁴ N m⁻¹

Hence , the spring constant of a spring is k = 1.4 × 10⁴ N m⁻¹

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Answer:

i hope 36

Step-by-step explanation:

Answer:36

Step-by-step explanation:

Moby sold half his toy car collection, and then bought 12 more cars the next day. He now has 48 toy cars.

Answer:

1/3.

Step-by-step explanation:

Prob(Drawing white marble) = 2/3

Prob(Drawing a black marble on second draw ) =  1/2

So:

Prob(Drawing a white then a red marble) = 2/3 * 1/2

= 2/6

= 1/3.

We need to use the fact that the percentages of all three categories must add up to 100%. Therefore, the percentage of independent voters can be found by subtracting the percentages of democrat and republican voters from 100%.
Percentage of independent voters = 100% - 35% - 40% = 25%
So, 25% of the registered voters are independent.
In conclusion, the percentage of independent voters is 25%. This is because the percentages of democrat, republican, and independent voters must add up to 100%. The percentages of democrat and republican voters are given, so we can find the percentage of independent voters by subtracting those from 100%.
Based on the given information, 35% of registered voters are classified as Democrats, and 40% are classified as Republicans. To find the percentage of registered voters who are independent, we need to subtract the total percentage of Democrats and Republicans from 100%.
100% - (35% + 40%) = 100% - 75% = 25%
Therefore, 25% of the registered voters are classified as independent.

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The optimal clutch size is 1.

a)The survivorship of an offspring, S, decreases with the clutch size, C.

Therefore, the formula is given as:

S = 0.5 - 0.1C

We need to find the optimal clutch size for this bird species.

We can do this by differentiating S with respect to C, and equating the result to zero.

That is:S = 0.5 - 0.1C => dS/dC = -0.1

Equating dS/dC to zero gives:-0.1 = 0 => C = 0

This implies that there is no optimal clutch size for this species.

However, since C represents clutch size, it must be a positive integer.

Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is

1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.

We can differentiate S with respect to C, and equate the result to zero.

That is:S = a - bC => dS/dC = -b

Equating dS/dC to zero gives:-b = 0 => C = 0

This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.

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Answer: -6

Step-by-step explanation:

If x:(x+3) = 2:3, we can set up the following equation:

x / (x+3) = 2/3

Next, we can multiply both sides of the equation by 3 to get rid of the fraction on the right side:

3 * (x / (x+3)) = 3 * (2/3)

This gives us:

x / (x+3) = 2

Finally, we can multiply both sides of the equation by (x+3) to get rid of the fraction on the left side:

x = 2 * (x+3)

We can then solve for x by rearranging the terms on the right side of the equation:

x = 2x + 6

Subtracting 2x from both sides gives us:

x - 2x = 6

This simplifies to:

-x = 6

Finally, we can divide both sides of the equation by -1 to solve for x:

x = -6

Therefore, x = -6.

Answer:

56 degrees

Step-by-step explanation:

Hope this helps!

The ratio of the original height of candle x to the original height of candle y is 13:8. This means that candle x is 13/8 times taller than candle y.

The ratio of the original height of candle x to the original height of candle y can be found by considering their burning rates and the time it takes for them to reach the same length. Based on the given information, candle x burns at a rate of 1/13 of its height per hour, while candle y burns at a rate of 1/24 of its height per hour. After burning for 9 hours, both candles have the same length.

Let's assume the original height of candle x is Hx and the original height of candle y is Hy. Candle x burns at a rate of 1/13 of its height per hour, so after burning for 9 hours, its remaining height would be (1 - 9/13)Hx = (4/13)Hx. Similarly, candle y burns at a rate of 1/24 of its height per hour, so after burning for 9 hours, its remaining height would be (1 - 9/24)Hy = (15/24)Hy.

Given that both candles have the same length after burning for 9 hours, we can equate their remaining heights:

(4/13)Hx = (15/24)Hy

To find the ratio of the original heights, we divide both sides of the equation by Hy:

(4/13)Hx / Hy = (15/24)

Simplifying the equation, we get:

Hx / Hy = (15/24) * (13/4) = 13/8

Therefore, the ratio of the original height of candle x to the original height of candle y is 13:8. This means that candle x is 13/8 times taller than candle y.

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Answer:

since traingleABC~ADE

AB/BD=BC/DE

9/15=3/X

9X=15×3

X=15×3/9=5

The value of x is 5 units.

We need to solve for x, from the given figure.

Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.

Now, in ΔABC and ΔADE

∠B=∠D=90°

∠EAD=∠CAB (common angles)

So, from AA similarity ABC~ADE

Then, AB/AD=BC/DE

9/15=3/x

9X=15×3

X=15×3/9=5 units

Therefore, the value of x is 5 units.

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