A stationary shop orders a batch of pens from a factory.The factory could make the batch of pen in 20 days using 12 machines.Due to a fault, only 8 machines were used from day 10 onwards.Work out the total number of days taken to make the batch of pens

If we try to use tail-recursive rules to implement non-tail-recursive rules, it will normally result in rules that are less efficient

Tail recursion is a technique in which the recursive call is the last action performed in a function. This allows the function to return immediately after the recursive call, without the need to keep track of any intermediate calculations. This can make tail-recursive functions more efficient since they do not require additional memory to store intermediate results.

On the other hand, non-tail-recursive functions are not optimized for efficiency in this way. They may perform additional calculations after the recursive call and may need to store intermediate results in memory.

If we try to use tail-recursive rules to implement non-tail-recursive rules, we may end up with rules that are less efficient, since they are not optimized for the specific calculations being performed. This is because tail-recursive rules are optimized for a different type of calculation than non-tail-recursive rules.

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Kira has $19, Boris has $75, and Deshuan has $25.

We will denote as follows:

From information, we can set up equations:

B = 3D (Boris has 3 times what Deshuan has)

D = K + 6 (Deshuan has $6 more than Kira)

K + B + D = 119 (The total amount of money they have is $119)

Substituting equation 2 into equation 1, we have:

B = 3(K + 6)

Substituting equations 1 and 2 into equation 3:

K + 3(K + 6) + (K + 6) = 119

K + 3K + 18 + K + 6 = 119

5K + 24 = 119

5K = 119 - 24

5K = 95

K = 95 / 5

K = 19

Using equation 2, we can find D:

D = K + 6

D = 19 + 6

D = 25

Using equation 1, we can find B:

B = 3D

B = 3 * 25

B = 75.

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Answer:

y-int: (0, -45)

x-int: (-10, 0)

Step-by-step explanation:

x-intercept is the x-value when y = 0

y-intercept is the y-value when x = 0

x-int:

When y = 0, x = -10, so (-10, 0)

y-in:

when x = 0, y = -45, so (0, -45)

The combination of radical 5√27 - 17√3 is -2 √3, so option D is correct.

The opposite of an exponent, denoted by the symbol "√" and also known as the root, is a radical. The number before the symbol or radical is regarded as an index number or degree.

Given:

5√27 - 17√3

Simplify the value under roots,

5√(3 × 3 × 3) - 17√3

5 × 3 √3 - 17√3

√3 (15 - 17)

-2 √3

Therefore, the combination of radical 5√27 - 17√3 is -2 √3.

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Answer:   Mean:4   Median:5    Mode:5,2

Step-by-step explanation:

Step-by-step explanation:

Let x and y denote the cost of one hot dog and the cost of one hamburger.

ATQ,

Five hot dog(s) and four hamburger(s) cost $16.75 and four hot dog(s) and five hamburger(s) cost $17.00

So,

5x+4y = 16.75 ....(1)

4x + 5y = 17 ....(2)

Multiply equation (1) by 4 and equation (2) by 5.

20x+16y = 67 ....(3)

20x+25y= 85 ....(4)

Subtract equation (3) and (4).

20x+16y-(20x+25y) = 67-85

16y-25y = -18

-9y = -18

y = 2

Put the value of y in equation (2).

4x + 10 = 17

4x = 7

x = 1.75

So, the cost of one hot dog is $1.75 and that of cost of one hamburger is $2.

Answer:

Yes it is true correct me if I am wrong

Step-by-step explanation:

Answer:

B) false

Step-by-step explanation:

Answer:

45 min

Step-by-step explanation:

Here,

the we take the work as W and Alan's speed as A and Zack's speed as Z.

A = 2Z

W = 30 ( A+Z)

if the time for Alan to done cleaning alone is t then t = W ÷ A

t = ( 30 (A+(A÷2)))÷ A

t = 45 min

I am done .

Answer:

Step-by-step explanation: bot

Okay, here are the steps to solve this problem:

* There are 15 sections of English 102 to choose from

* There are 9 sections of Spanish 102 to choose from

* There are 12 sections of History 102 to choose from

* There are 13 sections of College Algebra to choose from

So for English 102 Felicia has 15 options, for Spanish 102 she has 9 options, for History 102 she has 12 options, and for College Algebra she has 13 options.

By the Fundamental Principle of Counting, the total number of possible schedules is:

15 * 9 * 12 * 13 = 16,920

Therefore, the total number of possible schedules for Felicia is 16,920

Answer:

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

3x

3

=

−6.333333

3

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps

The equation given

We need to solve this quadratic equation. First, let's change it to general form:

We know,

We can use the quadratic formula to solve for the values of x. The formula is

The steps are shown below:

Answer: 1 unit left and 3 units down.

Step-by-step explanation:

If translating ABCD to A'B'C'D':

It will be 1 unit left and 3 units down.

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

1 is to 4

Step-by-step explanation:

the factor is 1-4 meaning 32÷8 is 4 so having 1 would mean the other factor is 4

The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.

In this question we must determine the location of the center and the measure of the radius of a circle. According to Euclidean geometry, diameters are the longest possible chords of a circle. First, we determine the location of the center by definition of midpoint:

(h, k) = (1/2) · (4, 5.5) + (1/2) · (4, 10.5)

(h, k) = (4, 8)

And the radius is found by Pythagorean theorem:

\(d = \sqrt{(4 - 4)^{2}+(10.5-5.5)^{2}}\)

d = 5

r = 0.5 · 5

r = 2.5

The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.

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Answer:

Incomplete question, but you use the normal distribution to solve it, with \(\mu = 23.5\) and \(\sigma = 3.6\)

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes.

This means that \(\mu = 23.5, \sigma = 3.6\)

Thus

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{X - 23.5}{3.6}\)

Find the probability that the patron will have to wait:

More than X minutes:

1 subtracted by the p-value of Z

Between A and B minutes:

p-value of Z when X = A subtracted by the p-value of Z when Z = B.

Less than X minutes.

p-value of Z.

Answer:

a) Vf = at + Vi

b) 10 m/s

Step-by-step explanation:

Part A:

first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi

now bring the Vi over to the other side and flip the sign: at + Vi = Vf

this can be rewritten as Vf = at + Vi

Part B:

substitute the numbers: Vf = (2)(3) + 4

solve to get: Vf = 10 m/s

Answer:

79.4

Step-by-step explanation:

(85+90+68+75+79) / 5 =79.4

Answer:

x²+2x-8

leading coefficient is 4

therefore equation is 4x²+x-2

1) Since there are two points we need to find the slope, to begin with:

Now, we can find the y-intercept by plugging one point (2,-3) into the slope-intercept form:

Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer:

\(2 \times x = \frac{3}{4} \\ \\ 2x = \frac{3}{4} \)

divide either sides by 2 :

\(x = \frac{3}{4} \div 2 \\ \\ x = \frac{3}{4 \times 2} \\ \\ { \boxed{ \boxed{x = \frac{3}{8} }}}\)

Answer:

n=3, l=1, ml=1ms=+1/2

Step-by-step explanation:

The electron configuration of chlorine atom is; [Ne] 3s² 3p⁵.

This means that the last electron is found in a 3pz orbital.

We can see that the principal quantum number is 3. The electron is in a p orbital so l=1, the electron must be found in a 3pz orbital hence ml=1. The electron is found alone in that orbital hence s= 1/2.

30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.

Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,

⇒ x + y = 60 ⇒ x = 60 - y ----(1),

Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,

⇒ 28% of x + 16% of y = 22% of 60

⇒ 0.28x + 0.16y = 0.22 × 60

⇒ 0.28x + 0.16y = 13.2

⇒ 28x + 16y = 1320

⇒ 14x + 8y = 660

From equation (1),

14(60-y) + 8y = 660

840 - 14y + 8y = 660

6y = 180

y = 30

Again from equation (1),

x = 60 - y

= 60 - 30

= 30

Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%

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Answer:

y = 3x + 2

Step-by-step explanation:

First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\) and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2

The equation of the line is given by: \(y = 3x + 2\)

----------------------------

The equation of a line, in slope-intercept formula, has the following format:

\(y = mx + b\)

In which

----------------------------

\(m = \frac{11 - (-1)}{3 - (-1)} = \frac{12}{4} = 3\)

Then

\(y = 3x + b\)

----------------------------

Point (-1,-1) means that when \(x = -1, y = -1\), and we use this to find b.

\(y = 3x + b\)

\(-1 = 3(-1) + b\)

\(b = -1 + 3 = 2\)

Thus

\(y = 3x + 2\)

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Answer:

Step-by-step explanation:

This is not proportional.

There are two ways you can tell

Examples

x = 3

y = 18

y/x = 6

x = 2

y = 11

y/x = 11/2 = 5.5