Your new warehouse robot will make things a lot easier; however you still need your staff to do the delicate part. Hence they need to learn each other. First time your warehouse employee tried replenishing a single order with the robot, it took 275 seconds. Calculate how much it will take after 17 repetitions with a learning rate of
80%?
Number of repetitions: ???

Answers

Answer 1

The time it will take after 17 repetitions with the learning curve having a rate of 80% is of:

6.19 seconds.

What is the Learning Curve Formula?

The learning curve formula is an exponential function defined as follows:

[tex]y = ab^x[/tex]

In which the parameters are listed as follows:

a is the time it takes to make the first object.b is the rate.

Then y gives the time it takes to make the xth object.

In the context of this problem, the values of the parameters are given as follows:

a = 275, as it is the time that it takes the employee on the first time.b = 0.8, as it is stated in the problem that the learning rate is of 80%.

Then the time needed for the 17th repetition is of:

y = 275 x (0.8)^17 = 6.19 seconds.

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Related Questions

Joseph has $1.45 worth of nickels and dimes. He has a total of 17 nickels and dimes altogether. Determine the number of nickels and the number of dimes that Joseph has.

Answers

17(0.05) + x = 1.45
0.85 + x = 1.45
x = 0.6

the answer is six dimes!

The number of nickels and the number of dimes that Joseph has are 12 and 5 respectively.

What is a linear equation?

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

Let the no. of nickels be N and no. of dimes be D.

∴ N + D = 17...(i) and 0.05N + 0.1D = 1.45...(ii)

Multiplying (ii) by 100 we get 5N + 10D = 145...(iii)

Now multiply (i) by 5 we get 5N + 5D = 85...(iv)

Now subtracting (iv) from (iii) we get,

5D = 60.

D = 12 hence N = 5.

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What are the types of inverse?

Answers

The various types of inverse function are the inverse of trigonometric functions, rational functions, hyperbolic functions and log functions

If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f⁻¹or F⁻¹.

A function accepts values, performs particular operations on these values and generates an output. The inverse function agrees with the resultant, operates and reaches back to the original function.

The various types of inverse function are:

Inverse Trigonometric Functions : The inverse trigonometric functions are also known as arc function as they produce the length of the arc.Inverse Hyperbolic Function : Just like inverse trigonometric functions, the inverse hyperbolic functions are the inverses of the hyperbolic functions. There are mainly 6 inverse hyperbolic functions exist which include sinh⁻¹ , cosh⁻¹, tanh⁻¹, csch⁻¹, coth⁻¹, and sech⁻¹Inverse Logarithmic Functions and Inverse Exponential Function : The natural log functions are inverse of the exponential functions.

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Mark needs to cut a board to use for a project. The board is 12 feet long. He first has to cut off 24 feet from one end of the board. He
then cuts the remaining section of board into 4 equal pieces.
Which equation can be used to determine the the length of each equal piece?
04r-2-12
02-4-12
O2+4=12
O 4x+2¹-12
Next

Answers

The equation that best defines the length of the equal piece is 4x+2¹-12

How to determine an equation?

We should know that an equation is a mathematical model that shows the equality of two sides of an expression

Based on the given condition 12-24=4*x

Applying multiplicative distribution -12=4x

Rearrange the equation 4x=-12

Calculate the product of the quotient x=-3

Now 24feet divided by -3 =-4

Since it deals with length =4

In conclusion the equation that determines the length of each equal piece is  4x+2¹-12

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Solve for x

2 1/2x - 3/4 ( 2x + 5 ) = 3/8

Please explain step by step on how I get this answer to solve x!

Answers

Answer:

4 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

tic is an isosceles triangle with a vertex angle i if the measure of i90

Answers

Applying the definition of an Isosceles triangle, given that isosceles triangle TIC has a vertex angle I of 90 degrees, the measure of angle T is 45 degrees.

In geometry, an isosceles triangle is a triangle that has at least two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces of bipyramids and certain Catalan solids.

The two equal sides are called the legs and the third side is called the base of the triangle. The other dimensions of the triangle, such as its height, area, and perimeter, can be calculated by simple formulas from the lengths of the legs and base. Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. The two angles opposite the legs are equal and are always acute, so the classification of the triangle as acute, right, or obtuse depends only on the angle between its two legs.

An Isosceles triangle has a vertex angle and two equal base angles.

Given that triangle TIC is an isosceles triangle:

angle I is the vertex angle = 90 degrees

angle T is a base angle

angle C is also a base angle

Thus:

angle C and angle T are congruent or equal to each other.

Therefore,

    Angle T = (180 - 90)/2

⇒ Angle T = 90/2

⇒ Angle T = 45 degrees.

applying the definition of an isosceles triangle, given that isosceles triangle TIC has a vertex angle I of 90 degrees, the measure of angle T is 45 degrees.

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Determine whether the relation is a function
Explain why or why not.
1. (9, -1) (4,2) (5,3) (8, -1) (3, 0)

Answers

The relation:

(9, -1) (4,2) (5,3) (8, -1) (3, 0)

Is a function, because each element of the domain appears only once.

Is the relation a function?

A relation maps elements from a set, called the domain, into elements from another set, called the range.

Such that the element x being mapped into the element y is written as:

(x, y).

A relation is a function only if each element in the domain is mapped into only one element of the range.

Here we have the relation:

{  (9, -1) (4,2) (5,3) (8, -1) (3, 0)}

We can see that no element of the domain appears twice, so yes, this is a function.

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Does an isosceles triangle have 3 acute angles?

Answers

Answer:

some do but not all

Step-by-step explanation:

some do but there is a right isosceles triangle where there is 45 45 and 90 degrees

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Evaluate the expression for j = –5, k = 2, and m = 3.

jk2 − m = ?

Answers

Answer: -23

Step-by-step explanation:

[tex]jk^2 -m=(-5)(2^2)-3=-5(4)-3=-20-3=-23[/tex]

An airplane is flying 700 feet above ground. From the plane to the base of the control tower, the angle of depression is 47◦ . How far away is ground directly underneath the plane to the control tower? Round your answer to the nearest tenth.

Answers

Using trigonometric ratio the distance to the control tower is 750.7ft

Trigonometric Ratio

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec(or csc), and cot in short.

The values of these trigonometric ratios can be calculated using the measure of an acute angle, θ in the right-angled triangle given below. This implies that the value of the ratio of any two sides of the triangle here depends on angle C.

Using trigonometric ratio, the distance is

tan θ = opposite / adjacent

tan 47 = x / 700

x = 700 tan 47

x = 750.7 ft

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12. A factory needs to package 2,835 cartons
of orange juice in boxes. How many
more small boxes than large boxes are
needed to package the cartons of orange
juice?

Box Size
Small 15 number of cartons
Large. 35 number of cartons

Answers

The total number of cartons needed more to pack small 15 cartons than 35 large cartons is108 cartons.

What is the number of cartons needed?

Division is defined as one of the four basic operations of arithmetic in mathematics.

The parameters for this question are:

Total number of cartons =2835

Number of small cartons needed = 15 cartons

Number of large cartons needed = 35 cartons

To package the orange juice in large cartons we need [tex]\frac{2835}{35} =81 cartons[/tex]

Also, to package 15 small cartons we need [tex]\frac{2835}{15} =189 cartons[/tex]

Number of more small cartons than large cartons is

Small cartons -large cartons

=189-81=108 more cartons.

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Pls help answer fast rapidly is of khan academy:

Answers

Answer:

expanded: 7+0.08

standard: 7.08

Step-by-step explanation:

The hundredths place is the second digit after the decimal, so 8 hundredths is 0.08.

What are the 4 types of properties?

Answers

There are four basic properties of numbers: commutative, associative, distributive, and identity.

1.Commutative Property

a. Addition

. When two numbers are added, the sum is the same regardless of the order in which the numbers are added.

3 + 5 = 8       or       5 + 3 = 8

b. Multiplication. When two numbers are multiplied together, the product is the same regardless of the order in which the numbers are multiplied.

3 x 5 = 15       or       5 x 3 = 15

2.Associative Property

a. Addition. When three or more numbers are added, the sum is the same regardless of the way in which the numbers are grouped.

6 + (4 + 3) = 13   or   (6 + 4) + 3 = 13

b. Multiplication. When three or more numbers are multiplied, the product is the same regardless of the way in which the numbers are grouped.

6 x (4 x 3) = 72   or   (6 x 4) x 3 = 72

3.Distributive Property

The sum of two numbers times a third number is equal to the sum of each addend times the third number.

5 x (7 + 2) = 45   or   5 x 7 + 5 x 2 = 45

4.Identity Property

a. Addition. The sum of any number and zero is that number.

12 + 0 = 12

b. Multiplication, The product of any number and one is that number.

18 x 1 = 18

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How do you find the degree of a polynomial in precalculus?

Answers

Answer:

add up the exponents of each term and select the highest sum.

A ball is dropped from a height of 20 feet. Each time the ball bounces it returns to 7/9 of the height it fell from. Let an represent the maximum height of the ball on the nth bounce.

A) Find a formula that describes an. Express the common ratio as a fraction. Hint: Use an = a1r^n-1 and place r in parentheses!
an = _____________

B) What is the maximum height of the ball on the 6th bounce? Round your answer to three decimal places.
_______________ feet

Answers

(A) The formula for nth bounce is [tex]a_n = 20 (7/9)^{n}[/tex].

(B) 4.43 feet is the maximum height of the ball on the 6th bounce.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

Given that,

The height from where the ball is dropped = 20 feet.

Also, the ball bounces and returns to 7/9 to its original height.

(A)

The representation of the maximum height of the ball on the nth bounce can be given as

[tex]a_n = 20 (7/9)^{n}[/tex]

(B)

The maximum height of the ball on the 6th bounce = 20 (7/9)⁶ =  4.43 feet

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A line with a slope of 1 passes through the point (5, 3). What is its equation in slope "-intercept" form?

Answers

Answer: y=x−2 y = x − 2

Step-by-step explanation:

Is a cubic graph exponential?

Answers

Yes, a cubic graph is an exponential.

What is Cubic Graph?

A cubic graph in the study of graph theory is a graph with all of its vertices having degree three. A cubic graph is a 3-regular graph, to put it another way. Trivalent graphs are another name for cubic graphs. A cubic bipartite graph is known as a bicubic graph.

What is Exponential?

The mathematical expression f(x)=exp or ex denotes the exponential function. Unless otherwise stated, the phrase usually refers to the positive-valued function of a real variable, though it can also be applied to complex numbers or extrapolated to other mathematical objects like matrices or Lie algebras.

Graphs of Exponential Functions if;

When the base is greater than 1, the exponential function has the following characteristics and you can easly understand from this :

The point is traversed by the graph (0,1)The domain only uses actual integers.It is between y>0.The graph is going up.The graph approaches negative infinity and becomes asymptotic to the x-axis.As x gets closer to positive infinity, the graph grows without bound.The chart is non-stop.The graph is rounded.

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Coordinate Plane
help asappp tyyy

Answers

Using cartesian coordinate system, the points are plotted on the graph below which shows A in the fourth quadrant, B in the third quadrant, C in the first quadrant, D and E in the second quadrant and F on the first quadrant.

Graph on a coordinate plane

A coordinate graph is a graph with two axes which are placed perpendicular to each other. These two axes are called x-axis and y-axis. The vertical line is the y-axis and the horizontal line is the x-axis. It is also called a coordinate plane, a Cartesian plane, and a Cartesian coordinate system.

Kindly check the attached graph below

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Answer: plot point

Step-by-step explanation: plot point, quadrant or axis be smart and learn nivia.

Write this ratio as a fraction in simplest form without any units.

Answers

Answer:

change 5 weeks to days(5*7)-35days

then convert the days to seconds

35*86400/10*86400

answer 7/2

Explain how you can use compatible numbers to estimate the quotient of
925÷29.

HELPP PLEASEE ITS 50 POINTS TYY

Answers

Answer:

We can be able to use compatible numbers to estimate the quotient of 925/29 if the whole number that is part of the decimal is less than the divisor, we need to be able to rename the decimal.

Step-by-step explanation:


Diana has available 280 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?

Answers

Answer:

  (a)  A = W(140 -W)

  (b)  W = 70

  (c)  4900 square yards

Step-by-step explanation:

You want an expression for the rectangular area that can be enclosed by 280 yards of fence, if that area has width W. Further, you want the value of W that maximizes the area, and the size of that maximum area.

Perimeter expression

The perimeter of the rectangle with length L and width W is ...

  P = 2(L +W)

Then the length can be found from the width as ...

  L = P/2 -W

For P=280, this is ...

  L = 140 -W

(a) Area expression

The area is the product of length and width:

  A = LW

  A = (140 -W)(W)

(b) Maximum area

The area expression describes a downward-opening parabola with zeros at W=0 and W=140. The vertex (maximum) of the parabola is on the line of symmetry, halfway between these zeros. The value of W there is ...

  W = (0 +140)/2 = 70

The area is largest for W = 70.

(c) Area

For that value of W, the area is ...

  A = (140 -70)(70) = 70² = 4900 . . . . . square yards

__

Additional comment

The generic solution to the area problem when fence is on all sides is that the shape is a square.

If the cost of fence is different for the different sides, the total cost in the east-west direction is equal to the total cost in the north-south direction when cost is minimized.

A ball is dropped from a height of 10 ft and bounces 83% of its previous height on each bounce. How high off the ground is the ball at the top of the 4th bounce?

Answers

Answer:

The height of the 4th bounce would be 4.7458321; rounded would be 4.8.

Step-by-step explanation:

We can figure this question out by first converting the 83% into a decimal, by bringing back 2 decimal places:

0.83.

And then setting up this equation:

0.83 x 10 = 8.3

Now, this is for 1 bounce. We have to do this 4 more times:

0.83 x 8.3 = 6.889

3rd time:

0.83 x 6.889 = 5.71787

4th time:

0.83 x 5.71787 = 4.7458321.

Now, we can round this answer to:

4.8

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 2 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

One integer is 2​ times another. If the product of the two integers is 32, then find the integers

Answers

Answer:

The integers could be 8 and 4, just checked with a calculator

Find the value of x. Then find the measure of each angle and write the answers in ascending order.

Answers

The value of x and the unknown angles of the triangle are as follows;

x = 1180 degrees117 degrees

How to find angles in a triangle?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore, let's find the value of x using the exterior angle theorem.

Hence,

37 + 3x + 47 = 5x + 62

3x - 5x + 37 + 47 = 62

-2x = 62 - 37 - 47

-2x = -22

x = -22 / -2

x = 11

Therefore, the angles are as follows:

3x + 47 = 3(11) + 47 = 33 + 47  = 80 degrees

5x + 62 = 5(11) + 62 = 55 + 62 = 117 degrees

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is x^2+x+1=0 linear?

Answers

Answer:

No.

Step-by-step explanation:

Because the equation has an exponent, it is quadratic, and not linear.

Answer:1

Step-by-step explanation:

CAN SOMEONE HELP WITH THIS QUESTION?✨

Answers

The equation that models the function is P(t) = 20400(1,09)⁺ and the fox population in 2008 is 40648

The equation of the function

From the question, we have the following parameters that can be used in our computation:

Initial population of fox = 20400

Rate of growth = 9 percent per year

These parameters can be presented as

Initial population of fox, a = 20400

Rate of growth, r = 9%

An exponential function is represented as

P(t) = a(1 + r)⁺

So, we have:

P(t) = 20400(1 + 9%)⁺

Evaluate

P(t) = 20400(1,09)⁺

The population in 2008

Recall that

t = 0 in 2000

So, the value of t in 2008 is

t = 2008 - 2000

t = 8

Substitute t = 8 in P(t) = 20400(1,09)⁺

So, we have

P(8) = 20400(1.09)⁸

Evaluate

P(8) = 40648

So, the population is 40648

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What is the radius of the sphere given by x2 y2 z2 − 6y 8z 0?

Answers

The sphere's radius is 5, and its center is at (0, 3, -4).

What is a sphere?

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions.

In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the given point is its center.

List a few typical sphere examples from everyday life.

In everyday objects, sphere shapes can be found in the form of marbles, balls, oranges, yarn, and bubbles.

So, the center and radius of the sphere will be:

We have the sphere's equation, which is given by and has a radius of r.

(x - h)² + (y - k)² + (z - l)² = r² ...(1)

We must convert the following equation in order to determine the center and radius of the provided sphere.

x² + y² + z² - 6y + 8z = 0

By combining the x, y, and z terms and filling in the square, we obtain

x² + (y² - 6y + 9) +(z² + 8z + 16) = 9 + 16

(x - 0)² + (y - 3)² + (z + 4)² = 52

So, the sphere's center is at (0, 3, -4) and its radius is 5.

Therefore, the sphere's radius is 5, and its center is at (0, 3, -4).

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Complete question:

Find the center and radius of the sphere x2 + y2 + z2 - 6y + 8z = 0.

david performed the following mathematical operation

Answers

1 must be the root of the polynomial [tex]$3 x^2+x-4$[/tex].

We are given that polynomial [tex]$3 x^2+x-4$[/tex] is being divided by factor [tex]$(\mathrm{x}-1)$[/tex]

It is also said that when David perform the mathematical operation it gives remainder 0 .

Remainder 0 represents that divisor [tex]$(\mathrm{x}-1)$[/tex] is a factor polynomial [tex]$3 x^2+x-4$[/tex].

As x-1 is a factor of the given ploynomial, we can get one of the root of by setting it equal to 0 and solve for x.

Therefore,

x-1=0

Adding 1 on both sides, we get

[tex]$$\begin{aligned}& x-1+1=0+1 \\& x=1 .\end{aligned}$$[/tex]

Therefore, 1 must be the root of the polynomial [tex]$3 x^2+x-4$[/tex].

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.

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How do you prove a trapezoid is isosceles?

Answers

Answer:

A trapezoid is isosceles if and only if its diagonals are congruent. So if we can prove that the bases are parallel and the diagonals are congruent, then we know the quadrilateral is an isosceles trapezoid, as Cool Math accurately states.

Step-by-step explanation:

A college student has budgeted $25 a month for phone services. If the telephone
company charges $17 a month for basic service and $0.05 a minute for each long
distance call, how many minutes can be spent on long distance calls each month?
(Define a variable, create an equation, solve using algebra, and answer in a sentence.)

Answers

Answer:

160 minutes can be spent on long distance calls each month.

Step-by-step explanation:

first we know that there is standard charge of $17 for basic service, $0.05 cost per minute with a budget of $25.

let's write that into an equation to solve for (a) which will be number of minutes.

17 + a(0.05) = 25

solving:

17 + a(0.05) = 25

carry across the 17 whilst changing the sign, or some people is also thought to minus on both sides to get rid of a certain variable.

a(0.05) = 25 - 17

a(0.05) = 8

carry across the multiplication of 0.05 which will then turn into division, or divide by 0.05 on both sides to remove it.

[tex]a = \frac{8}{0.05} [/tex]

a = 160

therefore 160 minutes can be spent on long distance calls each month.

You can redefine your answer more simply to hours by dividing by 60, which gives 2 hours and 40 minutes

Nathan is building a toolshed with a rectangular floor. The area of a rectangle is given by the formula 1 w, where I represents
the length, and w represents the width. The floor of the shed will have measurements of either / = 9 and w =
= 7 or/= 8 and
w = 8. What is the area of the larger floor?
O63
O 64
O 56
O 72

Answers

The area of the larger floor is 64 square units when w = 8 and l = 8. which is the correct answer would be an option (B).

To compare the values, we must first calculate each given situation. The area of any given rectangle is length times width.

If w = 7 and l = 9

A = l × w = 8 × 6 = 48

If w = 8 and l = 8

A = l × w = 8 × 8 = 64

So, the second case would obtain a larger area.

Therefore, the area of the larger floor is 64 square units when w = 8 and l = 8.

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