What is the 6th term in the sequence described by the following recursive formula?
a1=9
an=an−1−4

Answer: Outsourcing Processes

Step-by-step explanation:

The inefficient use of resources and delays in production in Ucon Inc. that needs to be resolved by hiring external agencies to perform some operations would be resolved by the adoption of outsourcing processes strategy.

It's most likely the strategy employed here because external agencies performing certain operations in a company means they are outsourced to help the company overcome certain challenges.

Answer:

Step-by-step explanation:

Let x represent the rate of the first hiker.

if one hiker walks 1.1 mph fast than the other, it means that the rate of the second hiker would be x + 1.1

Two hikers are 33 miles apart and walking towards each other. They meet in 10 hours. This means that in 10 hours, both hikers travelled a total distance of 33 miles.

Distance = speed × time

Distance covered by the first hiker in 10 hours would be

x × 10 = 10x

Distance covered by the second hiker in 10 hours would be

10(x + 1.1) = 10x + 11

Since the total distance covered by both hikers is 33 miles, then

10x + 10x + 11 = 33

20x + 11 = 33

20x = 33 - 11 = 22

x = 22/20 = 1.1 miles per hour

The rate of the second hiker would be

1.1 + 1.1 = 2.2 miles per hour.

Answer:

She can buy at most 6 bottles of orange juice.

Step-by-step explanation:

Consider the provided information.

The recipe calls for 3 times as many bottles of lemon-lime soda as orange juice,

Let she buy x bottles of orange juice.

According to question: Lemon lime soda = 3x

Orange juice costs $3.60 per bottle and lemon-lime soda costs $1.80 per bottle. She only has $54.00

[tex]3.60x+1.80(3x)=54[/tex]

[tex]3.60x+5.4x=54[/tex]

[tex]9x=54[/tex]

[tex]x=6[/tex]

Hence, she can buy at most 6 bottles of orange juice.

Jill can buy at most 6 bottles of orange juice.

To find out how many bottles of orange juice Jill can buy, we need to determine the cost of the orange juice and the cost of the lemon-lime soda based on the given prices. Let's assume she can buy 'x' bottles of orange juice. Since the recipe calls for 3 times as many bottles of lemon-lime soda, she can buy 3x bottles of lemon-lime soda. The total cost of the orange juice and the lemon-lime soda must not exceed $54.00.

The cost of the orange juice is $3.60 per bottle, so the cost of 'x' bottles of orange juice is 3.60x dollars. The cost of the lemon-lime soda is $1.80 per bottle, so the cost of 3x bottles of lemon-lime soda is 1.80 * 3x = 5.40x dollars.

To find the maximum number of bottles of orange juice she can buy, we need to solve the inequality:

3.60x + 5.40x ≤ 54.00

Combining like terms, we have:

9.00x ≤ 54.00

Dividing both sides of the inequality by 9.00, we get:

x ≤ 6

Jill can buy at most 6 bottles of orange juice.

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Answer:

Hope this helps you.

The answer is 61, x+40+5x+14=180, so x equals 21. 5(21)+14 ends up equaling 119, so 180-119 equals 1

Answer:A(t)= 2,675(1.003)12t

A(t)=4170(1.04)t

A(t)=5750(1.0024)2t

Step-by-step explanation:Exponential growth is also called growth percentage.

It is calculated using 100% of the original amount plus the growth rate . Example if the amount grows by 5% yearly.5%=0.05

It is written thus(1+0.005)=1.05.

It is usually written in decimal.

The formular for compound interest that is growing exponentially is written as

A=P (1 + i)^N

Looking at the 5 A(t) equations,only 3 of it are growing exponentially.

Answer:

The answer to your question is letter B.   log₈10 + log₈x + 3log₈y

Step-by-step explanation:

Just remember the properties of logarithms

- The logarithm of a product is the sum of logarithms.

- The logarithm of a power is equal to the power times the log.

Then

                 log₈(10xy³)  =  log₈ 10 + log₈x + log₈y³

and finally

                                        log₈10 + log₈x + 3log₈y

Answer:

a person travel 50 ft from the bottom to the top of the escalator

Step-by-step explanation:

An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30 degree angle

The escalator forms a right angle triangle

opposite to 30 degree angle is 25 feet. to find the distance from the bottom to the top of the escalator we find the hypotenuse

let x be the hypotenuse

[tex]sin(theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(30)=\frac{25}{x}\\x sin(30)= 25\\x=\frac{25}{sin(30)} \\x=50\\[/tex]

a person travel 50 ft from the bottom to the top of the escalator

Using trigonometry, the person travels approximately 50 ft from bottom to top. So, the answer is (a) 50 ft.

To find the distance a person travels from the bottom to the top of the escalator, we can use trigonometric functions. Since the escalator rises at a 30° angle, we can use the sine function to find the vertical component of the distance traveled.

Let's denote the distance traveled from the bottom to the top of the escalator as ( d ).

We know that the vertical component of the distance traveled is [tex]\( d \cdot \sin(30°) \).[/tex]

Given that the height of the second floor is 25 ft, we have:

[tex]\[ d \cdot \sin(30°) = 25 \][/tex]

To find ( d ), divide both sides by ( sin(30°) ):

[tex]\[ d = \frac{25}{\sin(30°)} \][/tex]

Now, let's calculate:

[tex]\[ \sin(30°) \approx 0.5 \][/tex]

So:

[tex]\[ d = \frac{25}{0.5} = 50 \][/tex]

Therefore, the person travels approximately 50 ft from the bottom to the top of the escalator.

So, the correct answer is:

a) 50 ft

Answer:

Step-by-step explanation:

The total volume of cement in cubic feet to be made is 54 cu ft.

A concrete mixer is in volume proportions of 1 part cement, 2 parts water, 2 parts aggregate, and 3 parts sand. This means that the ratio of the ingredients is

1 : 2 : 2 : 3

Total ratio = 1 + 2 + 2 + 3 = 8

Therefore,

Volume of cement needed would be

1/8 × 54 = 6.75 cubic feet

Volume of water needed would be

2/8 × 54 = 13.5 cubic feet

Volume of aggregate needed would be

2/8 × 54 = 13.5 cubic feet

Volume of sand needed would be

3/8 × 54 = 20.25 cubic feet

Answer:

Yes

Step-by-step explanation:

The First section of the equation (2-2) cancel each other out and you are left with 5x=5x

Answer:

Yes

Step-by-step explanation:

Because In the equation we have 2-2+5x

2-2=0

So, 0+5x = 5x

Answer: The two options are equal after 20days of daily pay.

Step-by-step explanation:

If it cost $30 to rent a car for a day and $600 to rent the same car for a month(approximately 30days), renting daily is equal to the monthly rentage after 20 days ($30 for 20days which is $30×20 i.e $600)

According to the deduction above, the renting is cheaper daily only for the first 20 days after which the amount equals to the monthly rentage of the same car.

Answer:

20 days.

Step-by-step explanation:

Assume, 1 month = 30 days.

Options:

i. $600 per month

$600/month * 1 month/30 day

= $20 per day.

ii. $30/day.

Renting daily is equal to the monthly rent after 20 days ($30 for 20days which is $30×20 i.e $600)

That is, the renting is cheaper daily only for the first 20 days after which it is equal to the monthly rent.

Answer:

934−2s=214;  Yes

114+2s=934; No

2s=934−214; Yes

2s−214=934; No

Step-by-step explanation:

The base of the triangular cloth is 214cm. The remaining two sides are the same length.

Let s be the length of other sides.

Perimeter = Sum of all sides of a triangle.

[tex]Perimeter = s+s+214[/tex]

[tex]Perimeter =2s+214[/tex]

It is given that the perimeter of the triangular cloth is 934 cm.

[tex]2s+214=934[/tex]        .... (1)

Equation (1) can be rewritten as

[tex]2s=934-214[/tex]           and [tex]214=934-2s[/tex]

On solving we get

[tex]2s=720[/tex]

Divide both sides by 2.

[tex]s=360[/tex]

Therefore, the length of the other two sides of Evan's cloth is 360 cm.

Answer: 72 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of senior tickets that were sold.

A theatre sold a total of 98 adult and senior tickets. It means that

x + y = 98

x = 98 - y - - - - - - - - - - - - -1

Adult tickets sold for 12$ each and senior tickets sold for 8$ each bringing in a total of 1,072$. This means that

12x + 8y = 1072 - - - - - - - - - - - 2

Substituting equation 1 into equation 2, it becomes

12(98 - y) + 8y = 1072

1176 - 12y + 8y = 1072

- 12y + 8y = 1072 - 1176

- 4y = - 104

y = - 104/ - 4

y = 26

Substituting y = 26 into equation 1, it becomes

x = 98 - 26 = 72

Yo sup??

This question can be solved by just imagining the object formed or practically trying it out.

Therefore the correct answer to this question is option 2 ie

a cylinder with a radius of 1 unit.

Hope this helps.

Answer:

a cylinder with a radius of 1 unit

Step-by-step explanation:

Answer:

The values of a and b are -1.28 and 1.28 respectively.

Step-by-step explanation:

It is provided that the area of the standard normal distribution between a and b is 80%.

Also it is provided that a < b.

Let us suppose that a = -z and b = z.

Then the probability statement is

[tex]P (a<Z<b)=0.80\\P(-z<Z<z)=0.80[/tex]

Simplify the probability statement as follows:

[tex]P(-z<Z<z)=0.80\\P(Z<z)-P(Z<-z)=0.80\\P(Z<z)-[1-P(Z<z)]=0.80\\2P(Z<z)-1=0.80\\P(Z<z) = \frac{1.80}{2}\\P(Z<z) =0.90[/tex]

Use the standard normal distribution table to determine the value of z.

Then the value of z for probability 0.90 is 1.28.

Thus, the value of a and b are:

[tex]a = -z = - 1.28\\b = z = 1.28[/tex]

Thus, [tex]P(-1.28<Z<1.28)=0.80[/tex].

Answer:

L_original = 28.8 in

H_original = 19.2 in

Step-by-step explanation:

Given:

- Length of scaled rectangle L_scale = 18 in

- width of the scaled rectangle H_scale= 12 in

- Scale factor = (5/8)

Find:

-Which method can be used to find the dimensions of the original rectangle

Solution:

- The best way to determine the original dimensions of the rectangle is by ratios. We have the scale factor as (5/8). so we can express:

                          L_scale = (5/8)*L_original

                          L_original = L_scale*(8/5)

                          L_original = 18*(8/5) = 28.8 in

                          H_scale = (5/8)*H_original

                          H_original = H_scale*(8/5)

                          H_original = 12*(8/5) = 19.2 in

- Hence, the original dimensions are:

                          L_original = 28.8 in

                          H_original = 19.2 in

Answer:

B.   [tex]18 / \frac{5}{8}= 28\frac{4}{5}[/tex] [tex]inches[/tex] [tex]and[/tex] [tex]12 /\frac{5}{8} = 19\frac{1}{5}[/tex] [tex]inches[/tex]

Step-by-step explanation:

Answer:

The French restaurant did not use cream this year, due to a menu update.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of cream used by a French restaurant last year = 92.870 ounces

Amount of cream used by the French restaurant this year = 100% less

2.  How much cream did the restaurant use this year?

The answer is zero and we calculated it this way:

92,870 - 100% (92,870) = 92,870 - 92,870 * 1 = 92,870 - 92,870 = 0

The French restaurant did not use cream this year, due to a menu update.

Answer:60%

Step-by-step explanation: i know its correct bc i got it wrong and it told me the answer

Answer: (54.13%, 53.83%)

Step-by-step explanation:

Confidence interval for population proportion is given by :-

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

[tex]\hat{p}[/tex] = sample proportion

n= sample size.

z* = critical z-value.

Let p be the proportion of individuals supportive of a new public works project.

As per given , we have

n= 258

[tex]\hat{p}=\dfrac{165}{258}\approx0.64[/tex]

For 99.9% confidence , significance level α= 0.001

Critical z-value for 99.9% confidence interval =[tex]z_{\alpha/2}=z_{0.001/2}=z_{0.0005}=3.29[/tex] [By z-table]

Then, the 99.9% confidence interval for the support level percentage in the entire city will be :

[tex]0.64\pm (3.29)\sqrt{\dfrac{0.64(1-0.64)}{258}}\\\\\approx 0.64\pm0.0983\\\\=(0.64-0.0983,\ 0.64+0.0983) = (0.5417,\ 0.7383= (54.13\%,\ 53.83\%)[/tex]

Hence, the 99.9% confidence interval for the support level percentage in the entire city is (54.13%, 53.83%) .

Answer:

(i) R = 4.70g

(ii) R = $35.25

Step-by-step explanation:

(i) R ∞ g

Removing the proportionality symbol, we have

R = kg, where k is the constant of proportion

56.40 = k(12)

Divide both sides by 12

56.40/12 = k(12)/12

$4.70 = k

k = $4.70

So, R = 4.70g (which is the linear equation relating Revenue, R to number of gallons, g)

(ii) When g = 7.5,

R = 4.70 * 7.5 = 35.25

R = $35.25

The revenue R at a gas station varies directly with the number of gallons of gasoline sold g. The linear equation relating R to g is R = 4.7g. The revenue when the number of gallons sold is 7.5 is $35.25.

In this particular scenario, we're dealing with a problem of direct variation. In a direct variation, as one quantity increases, the other increases proportionally. This can be represented by a linear equation of the form y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of variation (the ratio of y to x).

Here, the Revenue (R) varies directly with the number of gallons of gasoline sold (g). We can calculate the constant of variation (k) by dividing the given Revenue (R) by the given number of gallons (g): k = 56.4 ÷ 12 = 4.7. So, the linear equation relating R to g is: R = 4.7g.

To find the revenue R when the number of gallons of gasoline sold is 7.5, substitute g = 7.5 into the equation: R = 4.7 * 7.5 = $35.25

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Answer:

13

Step-by-step explanation:

Trust me

The number of plain donuts in the box will be 6.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a box of donuts has 12 total. One-fourth of the donuts have sprinkles. Of the remaining donuts, one-third have a cherry filling. The rest are plain.

The number of plain donuts will be calculated as below:-

Number = 12 - ( 12 /4) - ( 9 / 3 )

Number = 12 - 3- 3

Number = 12 - 6

Number = 6 plain donuts

Therefore, the number of plain donuts in the box will be 6.

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Answer:

A. Increasing cash, which will increase asset turnover

C.Increase assets, which will increase asset turnover and profit margin

Step-by-step explanation:

A reduction in inventory will improve business performance by increasing the efficiency of the company..

return of equity (ROE) can be calculated by: net profit/shareholder equity.

where share holder equity can be calculated by company assets minus debts.

Therefore ROE = Net profit/ (Assets - debts)

With, this formula, it can be deduced mathematically that, increasing ROE will Increase profit gain and  increase asset turnover.

ROE help company to estimate how management is using company assets to actualize profit. Reducing inventory is a reduction in the cost of procurement of goods needed by the company. this eventually increase the cash income of the company.

Also, a reduction in company debts can drastically improve the ROE.

Answer:Probability that the last digit is 0=0.1

Step-by-step explanation:

The likely digits for the last digits runs from 0 through 9 giving a total of 10 digits

The fore P(last digit to be 0) = 1/10 = 0.1

If the last digit of a weight measurement rounded to the nearest tenth place is equally likely to be any of the digits from 0 through 9, then the probability that the last digit is 0 is 0.1 or 10%.

The question is asking about the probability that the last digit in a weight measurement, rounded to one decimal place, is 0. Given that the last digit is equally likely to be any digits from 0 through 9, this is a basic probability problem with each outcome being equally likely.

Since there are 10 possible results (the digits 0 through 9), and we are interested in only 1 of these results (the digit 0), the probability can be calculated as 1 divided by 10. Therefore, the probability that the last digit is 0 is 0.1 or 10%.

This is a standard concept in an introductory probability course and is a fundamental idea that will be used in more complex probability problems.

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If correct, it should be one hour. Maybe try and solve it yourself to see if this makes sense

Step-by-step explanation:

Assume the total trip that afternoon took t hours

12(t/2) + 5(t/2) = 17 => t = 2

So she ran for 1 hour.

Answer:

(x-300)

Step-by-step explanation:

Function Analysis

The model provided can be broken down into three parts: x is the original price of the television set before any changes were made on it. (x-300) is the price after the instant rebate was applied, and 0.07x is the sales tax (7%) charged by the state. Note this charge is applied on the original price.

Answer: (x-300) is price of the television set after the instant rebate is applied but before the tax is applied.

Answer:

Step-by-step explanation:

Distinct ways in which Barry can arrange the wooden shaped blocks is calculated from the permutation expression

4 permutation 3 =

P(n,r)=P(4,3)  =4! ÷ (4−3)! = 24

Billie's distinct ways of seeing the arrangement would be 4 permutation 2

P(n,r)=P(4,2)  =4! ÷ (4−2)! = 12

Answer:

The distinct arrangement Billie would see is P(n,r)=P(4,2)  =4! ÷ (4−2)! = 12

Step-by-step explanation:

From the question, we recall the following:

Blue = 2, red =1 green =1

The way this can be solved for which Barry can arrange the wooden shaped blocks is applying the method called permutation

So,

4 permutation 3 = P(n,r)=P(4,3)  =4! ÷ (4−3)! = 24

The ways Billie's would see  the permutation arrangement  is 4 permutation 2

With the expression given as

P(n,r)=P(4,2)  =4! ÷ (4−2)! = 12

Answer:

Step-by-step explanation:

Factors of 24 are 1,2,3,4,6,8,12,24

Since we are looking for prices as well as quantity, these numbers must go in pairs.

1*24 = option 1

2*12 = option 2

3*8 = option 3

4*6 = option 4

Any of the above 4 pairs can suit the figures. They can even be reversed except option 1 ($1 and 24 bags but not $24 and 1 bag because the question says bags not bag).

Full Question

As a secondary mathematics teacher, Hernandez conducted a study that explored whether giving children recess prior to testing helped their test performance. For one of the semesters, he sends half of his classes out for 10 minutes of recess prior to testing for the other half, he provides 10 minutes of free time after the test. Which of the following best represents the design of Hernandez's study?

a. One-shot case study

b. Post-test only control group

c. Solomon four group

d. Static-group comparison

Answer:

Static-Group Comparison

Explanation:

A Static-Group Comparison describes a study that involves two non-randomly selected groups, where one groups receive the treatment, and the other does not before the test. Afterwards, a post-test examination of the score is then carried out to examine the different in performance between both groups.

Answer:

A'(-5,3), B'(-5,5), C'(-1,5) and D'(-1,3).

Step-by-step explanation:

If a point P(h,k) is rotated counterclockwise by 90° about the origin then the image point P' will become with coordinates (-k,h).

Now, the rectangle ABCD with vertices A(3,5), B(5,5), C(5,1) and D(3,1) is rotated 90 degrees counter-clockwise around the origin and the image rectangle will be A'B'C'D' with coordinates A'(-5,3), B'(-5,5), C'(-1,5) and D'(-1,3). (Answer)

Step-by-step explanation:

Given,

The equation y + 18 = 2( x - 1)

To write the given equation in the slope intercept form = ?

∴ The equation y + 18 = 2( x - 1)

⇒ y + 18 = 2x - 2

⇒ y  = 2x - 2 - 18

⇒ y  = 2x - 20

⇒ y  = 2x +  ( - 20)                  ..... (1)

We know that,

The equation of slope intercept form,

y = mx + c

Where, m is the sope and c is the y-intercept

∴ The slope intercept form of the given equation is: y  = 2x +  ( - 20)        

Answer:

(x - 7)x + 6).

Step-by-step explanation:

x^2 – x – 42

6 * -7 = 42 and  6 - 7 = -1 so the factors are:

(x - 7)x + 6).

The factor form of the expression  x² - x - 42 is (x - 7)(x + 6).

To factor the expression x² - x - 42, we need to find two binomial factors that, when multiplied together, give us the original expression.

We can start by looking for two numbers that multiply to -42 and add up to -1, which is the coefficient of the x term in the expression.

The pair of numbers that satisfy these conditions are -7 and 6.

If we multiply these two numbers, we get -42, and if we add them, we get -1.

Therefore, we can write the expression as:

x² - x - 42

= (x - 7)(x + 6)

This means that the original expression can be factored as the product of two binomials: (x - 7) and (x + 6).

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the monthly payment is approximately $163.06 and the total payments related to financing are approximately $7834.88.

To find the monthly payment and the total payments related to financing, we need to follow these steps:

1. Calculate the total amount financed.

2. Use the total amount financed to calculate the monthly payment using the formula for monthly payments on a fixed-rate loan.

3. Multiply the monthly payment by the number of months to find the total payments related to financing.

Given:

- Price of the car = $5955.00

- Down payment = $500.00

- Finance period = 48 months

- Annual interest rate [tex]\(= 18\%\)[/tex]

Step 1: Calculate the total amount financed.

The total amount financed is the difference between the price of the car and the down payment.

[tex]\[ \text{Total amount financed} = \text{Price of the car} - \text{Down payment} \][/tex]

[tex]\[ \text{Total amount financed} = \$5955.00 - \$500.00 \][/tex]

[tex]\[ \text{Total amount financed} = \$5455.00 \][/tex]

Step 2: Calculate the monthly payment.

To calculate the monthly payment, we use the formula for the monthly payment on a fixed-rate loan:

[tex]\[ M = \frac{P \times r \times (1 + r)^n}{(1 + r)^n - 1} \][/tex]

Where:

- M is the monthly payment

- P is the principal amount (total amount financed)

- r is the monthly interest rate (annual interest rate divided by 12)

- n is the number of payments (finance period in months)

First, we need to convert the annual interest rate to a monthly interest rate:

[tex]\[ r = \frac{18\%}{12} = 0.18 \times \frac{1}{12} = 0.015 \][/tex]

Now, we plug in the values:

[tex]\[ M = \frac{5455 \times 0.015 \times (1 + 0.015)^{48}}{(1 + 0.015)^{48} - 1} \][/tex]

[tex]\[ M ≈ \frac{5455 \times 0.015 \times (1.015)^{48}}{(1.015)^{48} - 1} \][/tex]

Using a calculator, we find that the monthly payment M is approximately $163.06.

Step 3: Calculate the total payments related to financing.

[tex]\[ \text{Total payments} = \text{Monthly payment} \times \text{Number of months} \][/tex]

[tex]\[ \text{Total payments} = \$163.06 \times 48 \][/tex]

[tex]\[ \text{Total payments} ≈ \$7834.88 \][/tex]

So, the monthly payment is approximately $163.06 and the total payments related to financing are approximately $7834.88.