What is the SUM of 592.3067 and 321.988?

As per the given situation, it will take 15 weeks for Marlon and Cassandra to have the same balance in their accounts is 600−25x=45+12x. The correct option is A.

We can start by setting up an equation that represents the balance of each person after x weeks.

After x weeks, Marlon's balance would be:

600 - 25x

After x weeks, Cassandra's balance would be:

45 + 12x

To find the number of weeks it will take until they have the same balance, we can set these two expressions equal to each other:

600 - 25x = 45 + 12x

Simplifying this equation, we can combine like terms:

600 = 45 + 37x

Subtracting 45 from both sides:

555 = 37x

Dividing both sides by 37:

x = 15

Therefore, it will take 15 weeks for Marlon and Cassandra to have the same balance in their accounts.

Thus, the correct equation is A) 600−25x=45+12x.

For more details regarding withdraw, visit:

https://brainly.com/question/14289883

#SPJ1

Answer: 12

Step-by-step explanation:

The solutions for the inequalities are:

z < -6 or z > 3 and -9 ≤ x ≤9

We are asked to solve the inequalities given.

For the inequality 4z−5<−29 or 4z+3>15, we have to solve for z. i.e., find the value for z.

4z−5<−29 or 4z+3>15

⇒ 4z < -29 + 5 or 4z > 15 -3

⇒ 4z < -24 or 4z > 12

⇒ z < -24/4 or z > 12/4

⇒ z < -6 or z > 3

The solution for z are the values above 3 and less than -6.

For 8x+8 ≥ −64 and −7−8x ≥ −79, we need to solve for x.

8x+8 ≥ −64 and −7−8x ≥ −79

⇒ 8x ≥ -64 -8 and -8x ≥ -79 + 7

⇒ 8x ≥ -72 and -8x ≥ -72

⇒ x ≥ -72/8 and -x ≥ -72/8

⇒ x ≥ -9 and x ≤ 9

⇒ -9 ≤ x ≤9

The solution for x are between -9 and 9.

The question is not complete. The complete question is given below:

Solve the system of inequalities.

4z−5<−29 or 4z+3>15

8x+8≥−64 and −7−8x≥−79.

Learn more about solving inequalities at https://brainly.com/question/24372553

#SPJ1

Answer:

theirs, is not enough info we need to see the graph this is just not enough info

Step-by-step explanation:

Answer:

\(P(Invisibility | Female) = \frac{2}{3}\)

Step-by-step explanation:

Given

See attachment for two-way table

Required

Determine \(P(Invisibility | Female)\)

This is calculated using the following formula for conditional probability:

\(P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}\)

From the attached table

\(n(Invisibility \& Female) = 32\)

\(n(Female) = 48\)

So, the equation becomes:

\(P(Invisibility | Female) = \frac{32}{48}\)

Simplify

\(P(Invisibility | Female) = \frac{32/16}{48/16}\)

\(P(Invisibility | Female) = \frac{2}{3}\)

The Wronskian of y1 = e^(3x) and y2 = e^(-7x) on the interval (-∞, ∞) is W(y1, y2) = 10.

To find the Wronskian of y1 = e^(3x) and y2 = e^(-7x), we can use the formula for calculating the Wronskian of two functions. Let's denote the Wronskian as W(y1, y2).

The formula for calculating the Wronskian of two functions y1(x) and y2(x) is given by:

W(y1, y2) = y1(x) * y2'(x) - y1'(x) * y2(x)

Let's calculate the derivatives of y1 and y2:

y1(x) = e^(3x)

y1'(x) = 3e^(3x)

y2(x) = e^(-7x)

y2'(x) = -7e^(-7x)

Now, substitute these values into the Wronskian formula:

W(y1, y2) = e^(3x) * (-7e^(-7x)) - (3e^(3x)) * e^(-7x)

= -7e^(3x - 7x) - 3e^(3x - 7x)

= -7e^(-4x) - 3e^(-4x)

= (-7 - 3)e^(-4x)

= -10e^(-4x)

So, the Wronskian of y1 = e^(3x) and y2 = e^(-7x) is W(y1, y2) = -10e^(-4x).

Note that the order of the functions matters in the Wronskian calculation. If we were to reverse the order and calculate W(y2, y1), the result would be the negative of the previous Wronskian:

W(y2, y1) = -W(y1, y2) = 10e^(-4x).

Since the Wronskian is a constant value regardless of the interval (-∞, ∞) in this case, we can evaluate it at any point. For simplicity, let's evaluate it at x = 0:

W(y1, y2) = 10e^(0)

= 10

Therefore, the Wronskian of y1 = e^(3x) and y2 = e^(-7x) on the interval (-∞, ∞) is W(y1, y2) = 10.

Learn more about interval here

https://brainly.com/question/30354015

#SPJ11

Answer:

Step-by-step explanation:

switch the x and f(x) values

x=y^3+4

subtract4

x-4=y^3

cube root

cube root(x-4)=y

Answer:

...

Step-by-step explanation:

remeber that for every angle they give you, you need to subtract 90 from it to get the answer.

Answer:

3x(3x+2)

Step-by-step explanation:

1. Simplify: (4x2 - 2x) - (-5x2 - 8x).

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

Answer: True

Step-by-step explanation: Because Im A Top G

From the given figure, the measure of angle OXZ is 10°.

Given that, XY and ZY are tangents to a circle with center O.

Tangent and radius of a circle meet at 90°. If we draw a radius that meets the circumference at the same point, the angle between the radius and the tangent will always be exactly 90°.

Here, angle formed at the center is

∠ZOX = 180° - ∠XYZ

∠ZOX = 180° - 20°

∠ZOX = 160°

ZO = XO = radius

Now, ΔZOX is an isosceles triangle

So, ∠ZOX +∠OXZ+∠OZX = 180°

⇒ 160° + 2∠OXZ = 180°

⇒ 2∠OXZ = 20°

⇒ ∠OXZ = 10°

Therefore, from the given figure, the measure of angle OXZ is 10°.

To learn more about the tangents to a circle visit:

https://brainly.com/question/23265136.

#SPJ1

Step-by-step explanation:

\(2 {v}^{2} + 14 = 104 \\ 2 {v}^{2} = 104 - 14 \\ 2 {v}^{2} = 90 \\ {v}^{2} = 90 \div 2 \\ {v}^{2} = 45 \\ v = \sqrt{45} \)

I will leave the answer in square root form as i am not sure if you need to round your answer or not.

Answer: 2 is the maximum number of gigabytes

Step-by-step explanation:

CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.

It is an introduction to the fundamentals of mathematical optimization, which deals with the problem of finding the best solution to a given problem. The course covers basic optimization theory and algorithms, including linear programming, integer programming, nonlinear programming, dynamic programming, and stochastic programming. Furthermore, it introduces optimization software packages, such as MATLAB, GAMS, and CPLEX, and how to use them for solving real-world optimization problems. It also covers the application of optimization techniques to areas such as finance, engineering, economics, and computer science.CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.  The course is taught using lectures, tutorials, and computer lab assignments. In the final project, students apply the techniques learned in the course to solve a real-world problem.

Learn more about complex systems here:

https://brainly.com/question/26671074

#SPJ4

Answer:

it's "the shape of the pebbles in a result of being rolled by ocean water"

The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.

To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.

Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = -2 - 2x

∂f/∂y = 4 - 8y

To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.

Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).

There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.

Learn more about function here:

https://brainly.com/question/18958913

#SPJ11

There are a few different ways to approach this question, but one possible explanation is based on the fact that the sine function is periodic, meaning it repeats itself over certain intervals.

The sine function has a period of 2π, which means that sin(x + 2π) = sin(x) for any value of x.Now, let's consider the interval [-2, 2] and imagine that we want to evaluate sin(x) for some value of x outside of this interval. Without loss of generality, suppose that x &gt; 2 (similar arguments can be made for x &lt; -2). Then, we can write x as x = 2πn + y, where n is some integer and y is a number in the interval [0, 2π) that represents the "extra" amount beyond the interval of [-2, 2]. (Note that this decomposition is possible because the period of the sine function is 2π.)

Now, we can use the fact that sin(x + 2π) = sin(x) to rewrite sin(x) as sin(2πn + y) = sin(y). Since y is in the interval [0, 2π), we can evaluate sin(y) using any method that works for that interval (e.g., a lookup table, a series expansion, a graph, etc.). In other words, we can always "wrap" any value of x outside of [-2, 2] into the interval [0, 2π) using the periodicity of the sine function, and then evaluate sin(x) for that "wrapped" value.

Now, why did we choose the interval [-2, 2] in particular? One reason is that this interval is convenient for many practical purposes, such as approximating the sine function using polynomial or rational functions (e.g., Taylor series, Chebyshev polynomials, Padé approximants, etc.). These approximations often work best near the origin (i.e., when x is close to 0), and the interval [-2, 2] contains the origin while still being small enough to be computationally tractable.

Another reason is that many real-world applications that involve trigonometric functions (e.g., physics, engineering, statistics, etc.) often involve angles that are small enough to be within the interval [-2, 2] (e.g., angles in degrees or radians that are less than or equal to 180 degrees or π radians). In these cases, evaluating sin(x) within the interval [-2, 2] is often sufficient for practical purposes.

Learn more about polynomial here: brainly.com/question/11536910

#SPJ11

Answer:

1460

Step-by-step explanation:

18.5% of 1460 = 270.1

1460 - 270.1 = 1189.9

The probability of getting all heads in three-coin tosses is 1/8 or 0.1251. This means that there is a 12.5% chance that all of Zack’s tulips will be pink.

We know that the formula for finding a probability for any outcome is:

Probability = Number of favorable outcomes ÷ Total number of outcomes.

We know that, when a coin is tossed one time then, there are two sample space: {H,T}.

This means that we can get either a head or a tail when a coin is tossed once. Now, since the coin has been tossed 3 times, hence:

The total number of possible outcomes = 2³ =8

This is due to the fact that there are a total of 2ⁿ possible outcomes when a coin is tossed n times.

The eight outcomes would be as follows:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

We are asked to find the probability of getting three heads, or tulips be pink. Therefore,

Probability = 1/8.

Therefore, there are 12.5% chances that all of the Zack's tulips would be pink.

To know more about probability, refer:

https://brainly.com/question/25870256

#SPJ4

Complete question is:

Read the story. Zack planted an assortment of tulip bulbs in his garden. half of them were pink tulips. this morning, he noticed that 3 of the tulips had started to sprout. how likely is it that all of them will be pink? Zack simulates the situation by flipping a coin 3 times. Each time the coin lands on heads, it represents a pink tulip.

This table shows the results of 100 trials:

number of heads flipped   0   1   2   3

number of trials                  12 37 38 11

Based on zack's results, what is the probability that all of the tulips will be pink?

Answer:

A

Step-by-step explanation:

I'm not fully sure :(

The question asks us to find the length of the vector x = 3e₁ + 3e₂ - 5e₃ - 3e₄ + 5e₅ + 4e₆, where {e₁, e₂, e₃, e₄, e₅, e₆} represents the standard basis in ℝ⁶.

To find the length of the vector x, we need to calculate the Euclidean norm, which is the square root of the sum of the squares of its components.

Given:
X = 3e₁ + 3e₂ - 5e₃ - 3e₄ + 5e₅ + 4e₆

We substitute the coefficients into the Euclidean norm formula:
||x|| = √(3² + 3² + (-5)² + (-3)² + 5² + 4²)

Simplifying the expression:
||x|| = √(9 + 9 + 25 + 9 + 25 + 16)
||x|| = √(93)

Therefore, the length of the vector x is √(93).


Learn more about vector here : brainly.com/question/30958460

#SPJ11

SOLUTION

Given the question, the following are the steps to solve the problem

Step 1: Write out the question

Step 2: Solve the expression in the first bracket

Step 3: Calculate the tangent of the result in step 2

Hence, the result from the evaluation of tan(sin^-1)(7/9) is approximately 1.2374

Answer:

(-1, -5)

Equation form:

x=-1, y=-5

Step-by-step explanation:

Basically, all you have to do is solve for the first variable in one of the equations, then substitute the result into the other one. It's as simple as that.

Hope this helps

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

above is the solution to the question

The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

To know more about Heaviside step function follow the link:

https://brainly.com/question/7137484

#SPJ11

Answer:

43°

Step-by-step explanation:

In a isosceles triangle, two angles HAVE to be equal.

This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.

Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)

94+94+x=180

188+x=180

There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.

x+x+94=180

2x+94=180

Subtract 94 from both sides

2x=86

Divide both sides by 2

x=43

Therefore the answer is 43°

The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

To learn more about time and work, here:-

https://brainly.com/question/8032605

#SPJ4

Answer:

OP question dude..

Step-by-step explanation:

Over Powered