Term I Week 1 5. A fruit shop bought 500 kg of apples for R900 and sold them for R2,80 per kg. a) What is the profit per kilogram? b) Calculate the profit as a percentage of the cost price, correctly to one decimal plac which cost R98,95 for c) Calculate the profit as a percentage of the selling price correctly to one decimal pe R200. She spent R476,28 on parts and paint to renovate l newspaper​

l ax a p a [sinh ] = , ; p a - > 2 2 and l ax p p a [cosh ] = > , . by integrating and rearranging the equations.

(a) l ax a p a [sinh ] = , ; p a - > 2 2

Formula: a ∫sinh(ax)dx = cosh (ax) + t

Let ax = t

Then, a∫sinh(ax)dx = a∫sinh (t) dt

By integrating,

a∫sinh (t) dt = cosh (t) + c

Substituting ax = t

a∫sinh(ax)dx = cosh (ax) + c

Rearranging for a,

l ax a p a [sinh ] = , ; p a - > 2

(b) l ax p p a [cosh ] = > , .

a ∫cosh(ax)dx = sinh (ax) + c

Let ax = t

Then, a∫cosh(ax)dx = a∫cosh (t) dt

By integrating,

a∫cosh (t) dt = sinh (t) + c

Substituting ax = t

a∫cosh(ax)dx = sinh (ax) + c

Rearranging for a,

l ax p p a [cosh ] = > , .

Thus it is shown that l ax a p a [sinh ] = , ; p a - > 2 2 and l ax p p a [cosh ] = > , . by integrating and rearranging the equations.

Learn more about integral here:

https://brainly.com/question/18125359

#SPJ4

The estimate of the population proportion of defective in 10 different samples of 100 observations is A) 0.017

The estimate of the population proportion of defectives can be calculated as the sum of the number of defectives in all the samples divided by the total number of observations.

In this case, the number of defectives is 1 + 2 + 1 + 0 + 2 + 3 + 1 + 4 + 2 + 1 = 17, and the total number of observations is 10 * 100 = 1000.

Therefore, the estimate of the population proportion of defectives is 17/1000 = 0.017.

So, the answer is A. 0.017.

Learn more about Proportion of Defective here: https://brainly.com/question/15902628

#SPJ4

The mistake is in the second step, and the correct option is the second one (counting from the top).

The solution of the system is (2, 1).

Here someone wants to solve the system of equations below:

2x + y = 5

3x - 2y = 4

On the first step, they isolate y on the first equation to get:

y = -2x + 5

Then they substitute that on the same equation, they get:

2x + (-2x + 5) = 5

5 = 5

That is trivial, we are replacing one equation into itself.

The substitution method needs to replace that on the other equation, so there is the mistake, then the correct option is the second.

The actual solution is given by:

3x - 2*(-2x + 5) = 4

3x + 4x - 10 = 4

7x = 4 + 10

x = 14/7 = 2

and the y-value is:

y = -2x + 5

y = -2*2 + 5 = 1

The solution is (2, 1).

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

The probability that the visitor is a robot is 0.000 to three decimal places.

Probability is the likelihood that a particular event will occur. It is usually expressed as a number between 0 and 1. A probability of 0 means that the event will never happen, while a probability of 1 means that the event is certain to occur.

The formula for probability in decimal format is:

Probability (in decimal format) = Number of Possible Favorable Outcomes / Total Number of Possible Outcomes

given below

Step 1: When a visitor is flagged, it means that the website has identified the visitor as potentially suspicious or malicious.

Step 2: It is impossible to determine the exact probability that the visitor is a robot as this information is not available.

Step 3: Therefore, the probability that the visitor is a robot is 0.000 to three decimal places.

To learn more about probability refer :

https://brainly.com/question/11234923

#SPJ4

All the missing factors are,

⇒ 40 ÷ 1000 = 0.04

⇒ 0.07 × 10,000 = 700

⇒ 100 × 0.75 = 75

⇒ 24 ÷ 10 = 2.4

⇒ 160 ÷ 10,000 = 0.016

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, We can solve as;

⇒ 40 ÷ x = 0.04

⇒ 40 / x = 0.04

⇒ x = 40 / 0.04

⇒ x = 1,000

⇒ 0.07 ×  x = 700

⇒ x = 700 / 0.07

⇒ x = 10,000

⇒ x × 0.75 = 75

⇒ x = 75 / 0.75

⇒ x = 100

⇒ 24 ÷ x = 2.4

⇒ 24 / 2.4 = x

⇒ x = 10

⇒ 160 ÷ x = 0.016

⇒ 160 / 0.016 = x

⇒ x = 10,000

Thus, All the missing factors are,

⇒ 40 ÷ 1000 = 0.04

⇒ 0.07 × 10,000 = 700

⇒ 100 × 0.75 = 75

⇒ 24 ÷ 10 = 2.4

⇒ 160 ÷ 10,000 = 0.016

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Answer:

63a + 54b

Step-by-step explanation:

9 x 7 = 63

9 x 6 = 54

Sara drank approximately 16.25 teaspoons of sugar in her 20-oz. bottle of soda.

This calculation is determining the amount of sugar that was consumed by Sara in her 20-oz. bottle of soda. The amount of sugar is given as 65 grams, and we are converting this quantity from grams to teaspoons.

One teaspoon of sugar is equivalent to 4 grams of sugar, so we divide the number of grams by 4 to find the number of teaspoons. The calculation is 65 grams divided by 4 grams/teaspoon, which gives us 16.25 teaspoons.

There are approximately 4 grams of sugar in a teaspoon, so 65 grams of sugar is equal to:

65 grams / 4 grams/teaspoon = 16.25 teaspoons

So, Sara drank approximately 16.25 teaspoons of sugar in her 20-oz. bottle of soda.

Learn more about like these problems visit the link:

https://brainly.com/question/24103003

#SPJ4

Answer:

16:19

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

Ur getting paid for both per month. So you would add the together.

Then they had to be greater then or equal to 100.

The correct answer to the inequality representing how much you want to earn from tutoring Math and English is '15x + 10y ≥ 100', where 'x' and 'y' represent the hours you spend tutoring Math and English, respectively, multiplied by their respective rates. You aim to earn at least $100, so the total should be equal to or exceed $100.

The question is about inequalities that represent the money you want to earn from tutoring in Math and English. 'x' represents tutoring hours in Math and 'y' represents tutoring hours in English.

We multiply these by their respective rates ($15 for Math and $10 for English) and sum them up. As you want to earn at least $100, this sum should be equal to or greater than $100.

Therefore, the correct inequality that represents this scenario is 15x + 10y ≥ 100 since you're adding, not subtracting, the possible earnings from each subject and that total needs to be greater than or equal to your desired weekly wage of $100.

So, the correct answer is C: 15x + 10y ≥ 100.

https://brainly.com/question/32625151

#SPJ2

Answer:

London taxi drivers have larger hippocampuses because their job requires them to memorize complicated routes, landmarks, and streets. The hippocampus is the part of the brain responsible for spatial navigation and memory, so the larger hippocampus of London taxi drivers is likely due to the increased use of this area of the brain as a result of their job.

The function C(x) that gives the total cost in a day as a function is C(x) = 0.03x + 1000

The inverse function is C^-1(x) = 100/3x - 100000/3

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

Rate = $3 for every 100 reams

Initial cost = $1000

So, we have

C(x) = 3/100 * x + 1000

Evaluate

C(x) = 0.03x + 1000

To do this, we make x the subject

So, we have

0.03x = C(x) - 1000

This gives

3/100 x = C(x) - 1000

So, we have

x = 100/3 C(x) - 100000/3

Express as inverse function

C^-1(x) = 100/3x - 100000/3

This inverse function gives the number of reams of paper produced as a function of the total cost.

Read more about function at

https://brainly.com/question/1415456

#SPJ1

Answer:

negative 10 and seven fifteenths

Answer:

1: negative 10 and seven fifteenths

The value of z if the area to the right of z is 0.9803 is -2.06.

The area to the right of a standard normal random variable (z) can be calculated using the cumulative probability of the normal distribution. This can be done by using the formula P(z≤x) = Φ(x), where Φ is the cumulative probability of the normal distribution.

Since the area to the right of z is 0.9803, this implies that P(z≤x) = 0.9803.

Using the formula, this can be rearranged to solve for x. The rearranged equation is Φ(x) = 0.9803, which can then be solved using a standard normal table.

From the standard normal table, the value of x is found to be 2.06. This means that the value of z for the given area to the right of z is -2.06.

Therefore, the value of z if the area to the right of z is 0.9803 is -2.06.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

As x = -7 & x = 2 are zeroes of  y=2x²+5x−24, option b. (5) and option d. (7) are NOT a potential zero.

Finding a polynomial's zeros requires the use of the rational zero theorem and synthetic division.

To generate a list of all the function's potential rational zeros, use the Rational Zero Theorem.

Analyze potential zeros via synthetic division.

The result is a zero if the remainder is 0.Any rational zero must take the form p/ q, where p is a factor of the constant term and q is a factor of the leading coefficient, if the coefficients of a polynomial function are integers and stated in descending order of the exponents.

P(x)= x² + 5x -14

p(x) = (x+7)(x-2)

y = (x+7)(x-2)

0 = (x+7)(x-2)

x+7 = 0 , x-2=0

x = -7 , x = 2

To learn more about Rational Zero Theorem refer

brainly.com/question/25191660

#SPJ4

Use the Rational Zero Theorem to find all potential rational zeros of the polynomial y=2x2+5x−24. Which of these is NOT a potential zero?

a. x = -7

b. x = 5

c. x = 2

d. x = 7

By Using the Rational Zero Theorem, All of these are not the potential zeros of the polynomial y = 2x² + 5x - 24

The Rational Zero Theorem states that if a polynomial has rational zeros, then the zeros must be the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. In this case, the potential rational zeros are:

For example:- constant term = 24 and Leading coefficient = 2.

So, p/q = ±1, ±2, ±3, ±4, ±6, ±12, ±24

To determine which of these is not a zero, we can substitute each into the polynomial and check if the result is zero. For example, when we substitute x = 1 into the polynomial, we get:

y = 2x² + 5x - 24

At x = 1

y = 2(1)² + 5(1) - 24

y = 2 + 5 - 24

y = 19 ≠ 0

At, x = 1 it is not possible.

Check, on x = 2

y = 2(2)² + 5(2) - 24

y = 8 + 10 - 24

y = -6 ≠ 0

y = 2 is also not possible.

Check, on x = -2

y = 2(-2)² + 5(-2) - 24

y = 8 - 10 - 24

y = -26 ≠ 0

y = -2, is also not possible.

To learn more about Rational Zero Theorem refer

brainly.com/question/29004642

#SPJ4

Use the Rational Zero Theorem to find all potential rational zeros of the polynomial y=2x2+5x−24. Which of these is NOT a potential zero?

a. x = 1

b. x = 2

c. x = -2

d. all of these

The probability that the selected ride will be closed because of mechanical is given as follows:

D. 0.675.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

In this problem, the probabilities are given as percentages, which make the calculations easier.

The percentages associated with a closed ride are given as follows:

Hence the probability is given as follows:

p = 0.9 x 0.75 + 0.08 x 0.25

p = 0.675.

More can be learned about probabilities at https://brainly.com/question/24756209

#SPJ1

90 minutes is about 5400 seconds long or 1.5 hours long.

Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.

The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour. Because to leap seconds, a minute occasionally has 61 seconds in the UTC time zone. The minute is acceptable for use with SI units even though it is not a SI unit. Minutes are represented by the SI unit min.

Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24 of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.

The second is the International System of Units' unit of time, previously defined as 1/86400 of a day. This element came from the split of a day into 24 hours, 60 minutes, and then 60 seconds each.

So , 90 minutes can be writen as

90 * 60 = 5400 seconds

90 minutes can also be written as

90/60 = 1.5 hrs

To learn more about Time refer to :

https://brainly.com/question/11649164

#SPJ4

When the two number of columns are added together, the result is 52. Therefore, 14 + 38 = 52.

14 + 38 =

The first step in determining the sum of 14 and 38 is to add the two numbers together.

14 + 38 = 52

The first step in determining the sum of 14 and 38 is to add the two numbers together. This is done by lining up the numbers according to their place values, and then adding the numbers in each column. In this case, the ones column is 4 and 8, which adds up to 12. The tens column is 1 and 3, which adds up to 4. When the two columns are added together, the result is 52. Therefore, 14 + 38 = 52.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

The value of a 45 degree angle in an isosceles right angled triangle is: 1

In an isosceles right angled triangle, where AB = BC = x, the sides AB and BC form the hypotenuse, and the remaining side AC forms one of the legs.

For the 45 degree angle (let's call it angle A), the sine function can be used to find the ratio of the opposite side to the hypotenuse:

Since the triangle is isosceles, AC = AB = x, therefore:

So the sine of a 45 degree angle in an isosceles right angled triangle is 1.

Note: The cosine and tangent of 45 degrees can also be found using the other trigonometric ratios, but since only sine was requested, I only provided the sine value.

Complete Question:

"ABC is an isosceles right angled triangle. Assuming AB = BC = x, find the value of each of the following trigonometric ratios:

To know more about trigonometric ratios, click on the link below:

brainly.com/question/25122825

#SPJ4

To find the commission and fees the insurance agent has earned, we need to first calculate the 3% commission from the $89,000 in sales. This is equal to $2,670. Next, we need to calculate the additional fees from the 8 home policies sold. This is equal to $128. Thus, the total commission and fees the agent has earned this month is $2,798 ($2,670 + $128).

This commission and fees amount is in addition to the base salary of $32,000. Thus, the total earned this month by the insurance agent is $34,798 ($32,000 + $2,798). This figure is obtained by adding the base salary and the commission and fees. Note that this figure does not include any bonuses or other incentives that the agent may receive.

To learn more about commission:

https://brainly.com/question/26283663

#SPJ4

Answer:

[tex]5^{8}[/tex]

Step-by-step explanation:

5 times itself 5 times is 5 to the eighth power

The additive and multiplicative inverse of v{x} are -1 and 1 respectively.

An function in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). Example -

y = f{x} = ax + b

Given is a constant function -

v{x} = 1

We can write the additive inverse of v{x} as -

a⁻¹ (v{x}) = - v{x} = - 1

a⁻¹ (v{x}) = - 1                           ..... { 1 }

and

We can write the multiplicative inverse of v{x} as -

m⁻¹ (v{x}) = 1/v{x} = 1/1 = 1

m⁻¹ (v{x}) = 1                                ...... { 2 }

Therefore, the additive and multiplicative inverse of v{x} are -1 and 1 respectively.

To solve more questions on functions, visit the link below -

brainly.com/question/26182329

#SPJ1

The complete sentence:

Produce per pound costs less than meat per pound because the slope of the graph for meat is greater to that of the graph for produce.

The slope of the graph tells you the unit rate in dollars per pound.

The graph of a linear function is a straight line. The following is the form of a linear function.

a + bx = y = f(x).

One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.

Given:

The graph's x-axis displays weight in pounds and the y-axis the cost in dollars.

The slope of a line is constant and indicates the unit rate of change.

The graph's slope, then, shows the unit rate in dollars per pound.

Also, the slope is higher on the steeper line (closer to the y-axis).

Considering the graph,

The graph of the line shows that the price of meat per pound is higher than the price of vegetables per pound.

Therefore, the line for meat is larger than the graph for produce, the price of meat per pound is higher than the price of produce per pound.

To learn more about the linear function;

brainly.com/question/20286983

#SPJ1

The complete question is given in the attached image.

Answer:

Step-by-step explanation:

f(g) = fa(g-x)+ b

x2 at origin (0,0) looks like a U porabola

in the above equation you can shift the graph up and down based on the +b.  So if the equation was, for example

F(g) = [tex]x^{2}[/tex] - 3 + 4

you would move the U shape with the origin at (0,0) up 4 and to the right 3.

Answer:

m=log(l)n. is the equation equivalent.

The value of expression to represent stickers Niu has left is,

⇒ 24 - 4x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Niu has decorated x cards.

He started with 24 stickers, and he used 4 stickers per card.

Now, Number of used stickers in x cards =  4x

Hence, The value of expression to represent stickers Niu has left is,

⇒ 24 - 4x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Considering that Parker uses 1 gallon of gas for every 0.026 miles he drives, he can travel 1.149 miles on 44.2 gallons of fuel.

The unitary is a method of troubles that entails calculating the value of a single unit, multiplying that value, and then calculating the required value. To sum it up, the unit method is employed to obtain a single unit quantity from a specified multiple. One writer costs 400 rupees, and 40 pens would cost 400 rupees. Perhaps there is a regular procedure for carrying it out. merely one nation. anything featuring a distinctive component. Algebra of matrices or operators, linear programming, applied mathematics, and its homologue and reciprocal are all equivalent.

given

For 34 miles and 1305, Parker's mileage is directly proportionate to the amount of gallons used.

1 gallon equals 0.026 miles, so 6 gallons are required.

Consequently, 1.149 miles equal 44.2 gallons of gas.

Considering that Parker uses 1 gallon of gas for every 0.026 miles he drives, he can travel 1.149 miles on 44.2 gallons of fuel.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

The probability of 2 being the outcome when picking a random card is; P(2) = 40%

The outcomes of the results on the cards are either, 1, 2, 3 or 4 or more.

Now, the total possible outcome will be gotten by adding the frequencies of occurRence to get;

Total Outcome = 6 + 12 + 9 + 3

= 30

Now, the frequency of occurrence of 2 out of the total outcome is 12. Thus;

Probability of 2 being the outcome is;

P(2) = 12/30 = 0.4

Expressing in percentage gives 40%

Read more about probability of selection at; https://brainly.com/question/251701

#SPJ1

The solution for a for the expression in this problem is given as follows:

a = 2.4.

The expression for this problem is defined as follows:

3/4(12a + 8) = 27.6.

We want the solution for the variable a, hence the variable a must be isolated.

Applying cross multiplication, we have that:

3(12a + 8) = 27.6 x 4.

Now with the distributive property, we have that:

36a + 24 = 110.4

36a = 110.4 - 24

a = (110.4 - 24)/36

a = 2.4.

More can be learned about solution of expressions at https://brainly.com/question/1214333

#SPJ1