Rewrite the exponential function y=54(0.53)t/2. Round your answer to two decimal places.

\(y=54(?)^{t/2}\)

There are 4096 functions from a set with 4 elements to a set with 8 elements.

To find the number of functions from one set to another, we use the formula:

Number of functions = (Number of elements in the codomain)Number of elements in the domain

In this case, the domain is the set with 4 elements and the codomain is the set with 8 elements. Plugging in these values into the formula, we get:

Number of functions = 84

Number of functions = 4096

Therefore, there are 4096 functions from a set with 4 elements to a set with 8 elements.

To know more about domain click on below link:

https://brainly.com/question/28135761#

#SPJ11

The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

Learn more about the angles formed by parallel lines and transversal here:

https://brainly.com/question/12851990

#SPJ4

Answer:

You need to find what x is bro

Step-by-step explanation:

Answer:

walking speed is 2 m/s

Step-by-step explanation:

given data

distance between Melissa and friend = 3 mile

total time of the trip = 2 hour

solution

we consider here

walking speed = s₁

bike speed = s₂  

so s₂ = s₁ + 4    .................1

and

time is express as

time = distance ÷ speed      .................2

so time for Melissa to friend reach = 3 ÷ s₁    

and time for return from her friend =  3 ÷ s₂  

so put this value in equation 2 we get

time = 3 ÷ s₁  + 3 ÷ s₂  

2 = \(\frac{3}{s_1} + \frac{3}{s_1 + 4}\)    

solve it and we will get

s₁² + s₁ - 6 = 0

s₁ = 2 m/s

so walking speed is 2 m/s

Answer:

No, it is not the same.

Step-by-step explanation:

1/4 * 8y = 2y

1/4 * -12 = -3

2y - 3 is not the same as 2y - 12

Answer:

No, because once you factor the 1/4 on the first equation you will get -3, not -12 making them not equalivent.

Step-by-step explanation:

Answer:

x = 3 and x = -12

Step-by-step explanation:

To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:

| 2x + 9 | = 15 becomes:

2x + 9 = 15 and 2x + 9 = -15

2x = 6 and 2x = -24

x = 3 and x = -12

Why this works is that |-x| and |x| will both be equal to 0. Remember that absolute value is the distance a number is away from 0.

It would be helpful if you could provide the system of equations so that I can provide a specific answer to your question. However, I will provide a general explanation of how to determine the general solution of a system of equations using the method of elimination and how to find the solution that satisfies given initial conditions.The method of elimination is a technique used to solve a system of linear equations by eliminating one of the variables.

The general steps for using the method of elimination are as follows:

Step 1: Rewrite the equations in standard form, if necessary. Standard form means that the terms are arranged in the order of ax + by = c.

Step 2: Choose a variable to eliminate. Choose the variable that has the same coefficient in both equations. If one equation has a negative coefficient, multiply the entire equation by -1.

Step 3: Add or subtract the equations to eliminate the chosen variable. Add the equations if the coefficients have different signs, and subtract the equations if the coefficients have the same sign. This will result in an equation with one variable.

Step 4: Solve for the remaining variable

.Step 5: Substitute the value of the solved variable into one of the original equations to find the value of the other variable.

Step 6: Write the solution as an ordered pair (x, y).To find the general solution of a system of equations, you will need to solve for both variables.

The general solution will be a set of equations that can be used to solve for any values of x and y. To find a solution that satisfies given initial conditions, you will need to substitute the values of the initial conditions into the general solution and solve for the constants that appear in the solution. This will result in a specific solution that satisfies the given conditions.

To know more about method of elimination ,visit:

https://brainly.com/question/13885360

#SPJ11

Answer:

x = (y+1/4)/5

Step-by-step explanation:

graph{y=5x-1/4 [-10, 10, -5, 5]}

(1) The Lieutenant commander data should order 20 chips,

(2) The most number of chips that he will ever have to order is 20 chips.

To determine the number of chips Lieutenant Commander Data should order and maximum amount he will ever have to order, we use inventory control formula for a continuous review system with normal distribution demand:

Part (1) : To calculate the number of chips he should order, we find safety stock, which is buffer-stock kept to meet unexpected demand. The safety stock can be determined using formula,

Safety stock = Z × σ × √L,

Where : Z = Z-score representing desired service probability (in this case, 98% corresponds to a Z-score of approximately 2.33)

σ = Standard-deviation of daily demand (given as 3 chips per day)

L = Lead time (in this case, 2 days)

Safety stock = 2.33 × 3 × √2 ≈ 9.84

To calculate "order-quantity", we consider expected demand during  lead time and the safety stock:

Expected demand during lead time = (Average daily demand × Lead time) + Safety stock,

Expected demand during lead time = (5 × 2) + 9.84 ≈ 19.84

So, Commander Data should order 20 chips,

Part (2) : The maximum amount he will ever have to order is determined by sum of safety-stock and maximum expected demand during lead time:

Maximum order quantity = Safety stock + (Average daily demand × Lead time)

Maximum order quantity = 9.84 + (5 × 2) = 9.84 + 10 = 19.84

Therefore, the maximum amount he will ever have to order is 20 chips.

Learn more about Probability here

https://brainly.com/question/14054828

#SPJ4

By the principle of mathematical induction, we will show that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input.

To prove that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input using induction, we will need to show two things:

1. Base case: The algorithm returns the correct value for n = 1.

Base case: When n = 1, the algorithm returns 1^3, which is the correct value for the sum of the cubes of the first positive integer. Therefore, the base case is true.

2. Inductive step: Assume that the algorithm returns the correct value for some positive integer k, and show that it also returns the correct value for k + 1.

Inductive step: Assume that the algorithm returns the correct value for some positive integer k, i.e., SumCube(k) returns 1^3 + 2^3 + ... + k^3.

We need to show that the algorithm also returns the correct value for k + 1, i.e., SumCube(k + 1) returns 1^3 + 2^3 + ... + (k + 1)^3.

Using the recursive definition of the algorithm, we have:

SumCube(k + 1) = (k + 1)^3 + SumCube(k)

By the induction hypothesis, we know that SumCube(k) returns the correct value, so we can substitute it into the above equation to get:

SumCube(k + 1) = (k + 1)^3 + (1^3 + 2^3 + ... + k^3)

Expanding (k + 1)^3, we get:

SumCube(k + 1) = k^3 + 3k^2 + 3k + 1 + (1^3 + 2^3 + ... + k^3)

Simplifying the right-hand side, we get:

SumCube(k + 1) = 1^3 + 2^3 + ... + k^3 + (k^3 + 3k^2 + 3k + 1)

We recognize the last term as (k + 1)^3, so we can substitute it in to get:

SumCube(k + 1) = 1^3 + 2^3 + ... + k^3 + (k + 1)^3

which is the correct value for the sum of the cubes of the first (k + 1) positive integers. Therefore, the inductive step is true.

By the principle of mathematical induction, we have shown that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input.

To know more about mathematical induction refer here :

https://brainly.com/question/31244444#

#SPJ11

Answer:

m = 0.667

Step-by-step explanation:

Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.

Calculate the graph plot coordinates for 4x - 6y = 14

Solve 4x - 6y = 14 for x and also for y.

Calculate and show the solution for the slope of 4x - 6y = 14

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

4x - 6y = 14

4x - 6(0) = 14

x1 = 3.5    y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x - 6y = 14

4(0) - 6y = 14

y2 = -2.333    x2 = 0

Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:

(x1,y1) and (x2,y2)

(3.5,0) and (0,-2.333)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14

m = (y2 - y1)/(x2 - x1)

m = (-2.333 - 0)/(0 - 3.5)

m = 0.667

hope this is correct! c:

Answer:

Slope= 2/3

y intercept= (0,-7/3)

Step-by-step explanation:

Answer:

Yes and Yes

Step-by-step explanation:

If you fold them over on both sides then they overlap perfectly, therefore they are reflective.

The exact value of tangent(7× pi/12) is undefined.

To find the exact value of the tangent of 7 times pi over 12, we can use the trigonometric identity for the tangent of a sum of angles.

The tangent of the sum of two angles, α and β, can be expressed as:

tan(α + β) = (tan(α) + tan(β)) / (1 - tan(α) ×tan(β))

In this case, we want to find the tangent of 7 times pi over 12, which is equivalent to the sum of angles pi/12 and 6 times pi/12.

Let's denote α = pi/12 and β = 6×pi/12. Plugging these values into the formula, we have:

tan(7× pi/12) = (tan(pi/12) + tan(6 ×pi/12)) / (1 - tan(pi/12) ×tan(6× pi/12))

Now, let's calculate the individual tangent values involved:

tan(pi/12) = √(3) - 1

This value can be derived from the exact values of sine and cosine for pi/12.

Next, let's calculate tan(6 × pi/12):

tan(6×pi/12) = tan(pi/2) = undefined

Since tan(pi/2) is undefined, the tangent of 7 times pi over 12 is also undefined.

Therefore, the exact value of tangent(7× pi/12) is undefined.

Learn more about exact value here:

https://brainly.com/question/31743339

#SPJ11

Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

To learn more about rotation:

https://brainly.com/question/1571997

#SPJ1

Answer:

A

Step-by-step explanation:

Answer d

because if we use option a then second part of the question will not satisfy

if we use option b then first part will not satisfy

hence.this question has no solution

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

To know more about quantity here

https://brainly.com/question/14581760

#SPJ4

we have

548+224

so

224=2+22+200

548+2=550

550+22=572

572+200=772

The order in the picture is correct

Answer:

A

Step-by-step explanation:

Answer:

The answer is C - conjugation

Hope this helps!

This equation is always true, which means that it is an identity. In other words, any value of x will satisfy the equation. Therefore, the equation has infinitely many solutions.

In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equals sign ("="). The expressions on either side of the equals sign are called the left-hand side and the right-hand side of the equation, respectively. The purpose of an equation is to describe a relationship between two or more variables or quantities, such as x + 3 = 7 or y = 2x - 5. Equations can be used to solve problems and answer questions in various fields of study, such as algebra, geometry, physics, chemistry, and engineering. Solving an equation typically involves finding the value or values of the variable(s) that make the equation true. Some equations may have a unique solution, while others may have multiple solutions or no solutions at all. The study of equations and their properties is a fundamental topic in mathematics.

Here,

To solve the equation 8x + 6 = 14 - 4(2 - 2x), we can first simplify the right-hand side:

8x + 6 = 14 - 8 + 8x

Simplifying further, we get:

8x + 6 = 6 + 8x

Subtracting 8x from both sides, we get:

6 = 6

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

Answer:

420

Step-by-step explanation:

math

Answer:

Option (1)

Step-by-step explanation:

Median:

A line joining the vertex to the midpoint of opposite side of the triangle.

Altitude:

Perpendicular drawn from a vertex to the opposite side of the triangle.

Angle bisector:

A line bisecting the angle of a triangle.

Perpendicular bisector:

A perpendicular line joining the vertex and the mid point of the opposite side of the triangle.

Hence, Option (1) Median will be the correct option.  

Answer: It is 34$ per one ticket

Step-by-step explanation:

$374 divided by 11 is 34

Answer:

$34 per ticket

Step-by-step explanation:

We were told $374/11tickets.

We are looking for how much per 1 ticket.

Divide to find the per-ticket cost.

Use either 374÷11

374/11 .

374÷11 = 34

This means $34 per ticket.

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ1

Answer:

(-2, 8) does not satisfy any system of the equation. In other words, no system of the equations satisfies the solution as shown in the graph.

Thus, not a single given option of the system of the equations satisfies the solution as shown in the graph.

Step-by-step explanation:

We know that the point of intersection of two lines on a graph is the solution of the system of equations.

From the graph, it is clear that the two lines intersect at x=-2 and y=8.

Thus, the point of intersection of the two lines is (-2, 8)

Putting the (-2, 8) in the first system of equations

x+2y=10              and              x-y = 6

-2+2(8)=10          and             -2-8=6  

14 = 10                 and               -10 = 6

L.H.S ≠ R.H.S       and               L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+2y=10  and x-y = 6.

Putting the (-2, 8) in the second system of equations

x+2y=6              and              x-y = 10

-2+2(8)=6          and             -2-8=10  

14 = 6                 and               -10 = 10

L.H.S ≠ R.H.S       and               L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+2y=6 and x-y = 10.

Putting the (-2, 8) in the third system of equations

x+y=6              and              x-y = 10

-2+8=6            and             -2-8=10  

6 = 6                 and           -10 = 10

L.H.S = R.H.S       and          L.H.S ≠ R.H.S

L.H.S and R.H.S of x-y = 10 is not equal, It means (-2, 8) does not satisfy the system of the equations x+y=6 and x-y = 10.

Putting the (-2, 8) in the second system of equations

x+y=6              and              x-2y = 10

-2+8=6             and             -2-2(8)=10  

14 = 6                 and             -18 = 10

L.H.S ≠ R.H.S       and               L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+y=6 and x-2y = 10.

In a nutshell, (-2, 8) does not satisfy any system of the equation. In other words, no system of the equations satisfies the solution as shown in the graph.

Thus, not a single given option of the system of the equations satisfies the solution as shown in the graph.

Answer: 8.94

Step-by-step explanation:

d = sqrt ((x2 - x1)^2+ (y2 - y1)^2)

d = sqrt (80)

d = 8.944272

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

To more on Progression:
https://brainly.com/question/30442577
#SPJ8

The 90% confidence interval for the proportion of air-conditioners from the population that pass all the tests is (0.94, 1.01).

Confidence Interval: A confidence interval is a range of values used to estimate a population parameter with a certain level of confidence. For example, a 90 percent confidence interval implies that 90 percent of the time, the true population parameter lies within the interval.

To find the confidence interval, we need to first calculate the sample proportion of air-conditioners that pass all the tests. The sample proportion is given as follows:

p = (Number of air-conditioners that passed the tests) / (Total number of air conditioners)

Therefore, the sample proportion is given by: p = (200 - 5) / 200 = 195 / 200 = 0.975

We are given that we need to find the 90% confidence interval for the proportion of air-conditioners from the population that pass all the tests. We can use the standard normal distribution to find the confidence interval.The standard normal distribution has a mean of 0 and a standard deviation of 1. The Z-score corresponding to a 90% confidence level is 1.645.

The formula for calculating the confidence interval is given as follows:

Standard Error = √(p(1 - p) / n), where p is the sample proportion and n is the sample size.

Substituting the given values, we get:

Therefore, the 90% confidence interval for the proportion of air-conditioners from the population that pass all the tests is (0.94, 1.01).

To know more about confidence interval, visit the link : https://brainly.com/question/20309162

#SPJ11

The area of the region bounded by the curves y = 1/(x+4)², y = 4 and the x-axis using vertical strip is 24 - 4π/3 square units.

Given: y = 1/(x+4)², y = 4

The curves meet at (x+4)²=1/4 or x+4=±1/2

So, x=-9/2,-7/2

Let a = -9/2 and b = -7/2

Now, using a vertical strip

Area of the region bounded by the curves = ∫ab [f(x) - g(x)] dx

where f(x) is the upper curve and g(x) is the lower curve

∫ab [f(x) - g(x)] dx = ∫-9/2-7/2 (4 - 1/(x+4)²) dx

= 4(x+4) + tan⁻¹(x+4) + C [As, ∫1/u² du = -1/u + C]

To leran more about vertical strip refer:-

https://brainly.com/question/25479811

#SPJ11

Answer:

A 513

Step-by-step explanation: is your answer

Hope this helps :)

22=4 square root 2

Step-by-step explanation:

Using Pythagorean Theory