Hello guys i am in secondary school y8 and need help on my school work due tomorrow please could you help me out. ​

Step-by-step explanation:

To find the percent change in price of the four new tires, we can use the formula:

percent change = (new value - old value) / old value * 100%

Here, the old value is $638 and the new value is $523.

percent change = ($523 - $638) / $638 * 100%

percent change = -$115 / $638 * 100%

percent change = -0.18 * 100%

percent change = -18%

The result is a decrease of 18%, so the answer is A. 18% decrease.

Okay, let's solve this step-by-step:

Original price of 4 tires: $638

New price of 4 tires: $523

To calculate the percent change, we use the formula:

Percent Change = (New Price - Original Price) / Original Price

So in this case:

Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%

Since the new price is less than the original price, this is a decrease.

Therefore, the answer is A: 18% decrease

So the answer is A: 18% decrease

Answer:

1

Step-by-step explanation:

The proportion of the money that Sarah gets is 2/3 of the total amount

From the complete question, the fraction of the money is:

Caroline = 1/9

The remaining amount is calculated using:

Remaining =  1 - 1/9

Evaluate

Remaining = 8/9

Colin and Sarah's share is:

Colin : Sarah = 1 : 3

This means that Sarah's share is:

Sarah = 3/(3 + 1) * 8/9

This gives

Sarah = 3/4 * 8/9

Evaluate

Sarah = 2/3

Hence, the proportion gotten by Sarah is 2/3

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Answer:

81%

Step-by-step explanation:

divide 162 by 200

Answer:

Step-by-step explanation:

D= {-4,1,0,3}

R={4,2,3,2}

The probability of having zero errors is approximately 0.711.

The probability distribution that can be used to calculate the probability that zero errors will be found in a 255-word bond transaction is the Poisson distribution.

The Poisson distribution is a discrete probability distribution that is used to model the number of events occurring within a fixed interval of time or space, given the average rate of occurrence of the events.

In this case, the average rate of occurrence of errors is 6 per hour, which can be converted to 0.1 errors per minute. Therefore, the expected number of errors in a 255-word bond transaction is (255/75)*0.1 = 0.34 errors.

Using the Poisson distribution, the probability of having zero errors in a 255-word bond transaction can be calculated as:

\(P(X = 0) = (e^{(-\lambda)} * \lambda^0) / 0! = e^{(-0.34)} * 0.34^0 / 1! \approx 0.711\)

where λ is the expected number of errors in the 255-word bond transaction.

Therefore, the probability distribution used to calculate the probability of having zero errors in a 255-word bond transaction is the Poisson distribution, and the probability of having zero errors is approximately 0.711.

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There are 70 different signals consisting of eight flags that can be made using three white flags, four red flags, and one blue flag.

To determine the number of different ways the prizes can be awarded, we can use the concept of combinations. We have 50 people purchasing raffle tickets, and we need to select 3 winners for the prizes.

The first prize can be awarded to any one of the 50 people who purchased tickets. After the first prize winner is selected, there are 49 people remaining.

The second prize can be awarded to any one of the remaining 49 people. After the second prize winner is selected, there are 48 people remaining.

Similarly, the third prize can be awarded to any one of the remaining 48 people.

To calculate the total number of ways the prizes can be awarded, we multiply the number of choices for each prize together:

Total number of ways = 50 * 49 * 48

                   = 117,600

Therefore, there are 117,600 different ways the prizes can be awarded.

Now let's move on to the second question about different signals consisting of white, red, and blue flags.

We have 8 flags in total: 3 white flags, 4 red flags, and 1 blue flag. We need to determine the number of different signals we can create using these flags.

To find the number of different signals, we can use the concept of permutations. Since the order of the flags matters in creating a unique signal, we will use permutations with repetition.

The number of permutations with repetition can be calculated using the formula:

N! / (n1! * n2! * ... * nk!)

where N is the total number of objects and n1, n2, ..., nk are the numbers of each type of object.

In our case, we have:

N = 8 (total number of flags)

n1 = 3 (number of white flags)

n2 = 4 (number of red flags)

n3 = 1 (number of blue flags)

Using the formula, we can calculate the number of different signals:

Number of different signals = 8! / (3! * 4! * 1!)

                          = 8! / (3! * 4!)

                          = (8 * 7 * 6 * 5) / (3 * 2 * 1)

                          = 70

Therefore, there are 70 different signals consisting of eight flags that can be made using three white flags, four red flags, and one blue flag.

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Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day

Answer:

4:12

6:18

8:24

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.

Answer:

32 times

Step-by-step explanation:

If you can go around 54 times for $12, then you multiply the amount of money you pay by four to get the number of times you can go around the track.

Hope this helps! Please mark Brainliest!

Answer:

I would say 36 because 54 times 8 is 432 and if you divide that by 12 you get 36.

Step-by-step explanation:

Answer:

5530

Step-by-step explanation:

Answer:

Step-by-step explanation:

50 times 9 equals 450

then add the 5050 and 30 to get 5080

then add up 5080 and450 and get your answer of 5530

Answer:

13

Step-by-step explanation:

you use the system of equations...

:)

Answer:

233

Step-by-step explanation:

932 / 4 = 233

Answer:

672

Step-by-step explanation:

We are given that there are a total of 8 Pizza Huts and they sold a total of 5,376 pizzas.  We are asked to find how many pizzas each store sold, so we divide:

5376/8

=672

Each Pizza Hut sold 672 pizzas.

Hope this helps! :)

Answer:   21, 63

Step-by-step explanation:

We need to find two geometric means between 7 and 189.

The Geometric Sequence is: 7, ____, ____, 189

Let's find r (common ratio):

We can see that the common ratio will be multiplied by itsely 3 times in order to get from 7 to 189:

                                           7 r³ = 189

                                            \(r^3=\dfrac{189}{7}\)

                                            r³ = 27

                                          ∛r³ = ∛27

                                              r = 3

Now that we know the common ratio is 3, we can multiply 7 and 3 to get the next term (21), and multiply that by 3 to get the third term (63), and multiply that by 3 as a check to confirm we get 189.

7 x 3 = 21

           21 x 3 = 63

                         63 x 3 = 189 \(\checkmark\)

The completed Geometric Sequence is: 7, 21,  63, 189

We have that the two geometric means between 7 and 189 are

\(x=21 \ and \ y=63\)

From the calculations below

From the question we are told that:

There are two geometric means

7 and 189

Generally for two geometric means between 7 and 189

Let the unknown means be x and y respectively

Therefore

The geometric Progression will be

7,x,y,189

Since they share a similar common ratio r

Therefore

\(r=\frac{x}{7}=\frac{y}{x}=\frac{189}{y}\)

Hence

\(\frac{x}{7}=\frac{y}{x}\\\\y=\frac{x^2}{7}..........equ1\)

And

\(\frac{y}{x}=\frac{189}{y}\\\\y^2=189x.........equ 2\)

Therefore

Substituting equ1 into equ2 we have

\((\frac{x^2}{7})^2=189x\\\\x=21\)

Having x we substitute x into equ...1

\(y=\frac{(21)^2}{7}\\\\y=63\)

In Conclusion

The two geometric means between 7 and 189

\(x=21 \ and \ y=63\)

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In conclusion

Answer:

.08 m is left

Step-by-step explanation:

6.06 - 5.98 = 0.08

Answer: It appears to take the same amount of time to serve each customer

It takes 40 minutes to serve  10 customers.

Step-by-step explanation:

It appears to take the same amount of time to serve each customer

To find the number of minutes it takes

Divide the number of times by the number of customers

16/4 = 4

it takes 4 minutes to serve 1 customer

Find the number of time it takes to serve 10 customer

10*4=40

It takes 40 minutes to serve  10 customers.

The multifactor productivity measure for each of the weeks shown for the production of chocolate bars assuming a 40-hour week and an hourly wage of $16 and overhead costs 1.5 times labor cost is 0.127.

Multifactor productivity is an economic metric that calculates the ratio of an organization's total outputs to its total inputs used for production over a given period. It determines how efficiently the organization uses its resources in the production process, and it is calculated using the formula :

MFP = Total output / ( Labor cost + Material cost + Overhead cost)Where MFP stands for multifactor productivity. Overhead costs, labor costs, and material costs are the inputs used for production.

The data provided is shown in the table below:| Week | Output | Labor | Materials | Overhead | |------|--------|-------|-----------|----------| | 1 | 3000 | 100 | 6000 | 150 | | 2 | 4500 | 150 | 9000 | 225 | | 3 | 6000 | 200 | 12000 | 300 |For each week, we must first calculate the labor, material, and overhead costs.

Labor cost per week = number of hours worked x hourly wage

Labor cost per week = 40 x $16 = $640

Material cost per week is given.

Overhead cost per week = 1.5 x labor cost

Overhead cost per week = 1.5 x $640 = $960

Now that we have all of the necessary input data, we can use the MFP formula to calculate multifactor productivity for each week.MFP for Week 1 = 3000 / (100 x $16 + $6000 + $150 + $960)MFP for Week 1 = 0.127MFP for Week 2 = 4500 / (150 x $16 + $9000 + $225 + $960)MFP for Week 2 = 0.127MFP for Week 3 = 6000 / (200 x $16 + $12000 + $300 + $960)MFP for Week 3 = 0.127

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Answer:

Microorganism B is 2500 times wider than microorganism A.

Step-by-step explanation:

Microorganism B is 2500 times wider than microorganism A.

A basis for the subspace is given by the three vectors consisting of all vectors of the form [x1, -2x1+x2, -9x1+4x2, -5x1-7x2]:

[1, 0, 0, -5], [0, 1, 4, -7], and [0, 0, 0, 1].

To find a basis for the given subspace, we need to determine the linearly independent vectors that span the subspace.

Let's rewrite the given vector as a linear combination of the standard basis vectors in R4:

[x1, -2x1+x2, -9x1+4x2, -5x1-7x2] = x1[1, 0, 0, -5] + x2[0, 1, 4, -7] + 0[0, 0, 0, 1]

Thus, the subspace is spanned by the vectors [1, 0, 0, -5], [0, 1, 4, -7], and [0, 0, 0, 1].

To check for linear independence, we can set up the following augmented matrix and row reduction:

[ 1 0 0 | 0 ]

[ 0 1 4 | 0 ]

[ 0 -2 -9 | 0 ]

[-5 -7 0 | 0 ]

Using row operations, we can reduce this to:

[ 1 0 0 | 0 ]

[ 0 1 0 | 0 ]

[ 0 0 1 | 0 ]

[ 0 0 0 | 0 ]

Since the only solution is the trivial solution, the vectors are linearly independent.

Therefore, a basis for the subspace is given by the three vectors:

[1, 0, 0, -5], [0, 1, 4, -7], and [0, 0, 0, 1].

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Answer:

3 toppings

Step-by-step explanation:

To solve first subtract the initial price:

13.25-8= 5.25

Then divide by 1.75 to get the amount of toppings:

5.25÷1.75= 3

Hope this helps! :)

Pls mark brainliest if correct:)

James's monthly payment if he borrows through Bank of the Future is $737.49, and if he borrows through R.T.C. Savings and Loan, it is $726.94. The fees included in the finance charge by Bank of the Future are approximately $3403.65, while R.T.C. Savings and Loan charges approximately $3144.02. Bank of the Future offers a lower interest rate, while R.T.C. Savings and Loan has a lower APR and lower finance charge fees.

Given that Lames Magee is thinking of buying a home for $117,700. Bank of the Future advertises an 80%, thirty-year simple interest amortized loan at 9% interest, with an APR of 10.23%. R.T.C. Savings and Loan advertises an 80%, 30-year simple interest amortized loan at 9% interest with an APR of 10.16%.

We are supposed to find James's monthly payment if he borrows through Bank of the Future and R.T.C. Savings and Loan, approximate the fees included in the finance charge by Bank of the Future and R.T.C. Savings and Loan, and also discuss the advantages of each of the two loans.

(a) Find James's monthly payment if he borrows through Bank of the Future:

Given that Loan amount is = $117,700 and The interest rate is = 9.41% per annum Loan period = 30 years.

80% of the loan amount = 80% * 117,700 = $94160

The APR is given by APR = 2 * (Interest rate per period) * 12 / (number of payments + 1)

Therefore, 10.23% = 2 * 9.41% * 12 / (number of payments + 1)

On solving the above equation, we get, Number of payments = 360

Monthly payment, P is given by,

P = A / D, where A is the loan amount and D is the discount factor.

D = {[(1 + i)^(n)] - 1} / [i(1 + i)^(n)], where i is the interest rate per month and n is the total number of payments.

Substituting the respective values in the formula, we get;

i = 9.41% / 12 = 0.0784167 and n = 360.

P = 94160 / {[(1 + 0.0784167)^(360)] - 1} / [0.0784167(1 + 0.0784167)^(360)] = $737.49

Therefore, James's monthly payment if he borrows through Bank of the Future is $737.49.

(b) Find James's monthly payment if he borrows through R.T.C. Savings and Loan:

Given that Loan amount is = $117,700 and The interest rate is = 9% per annum Loan period = 30 years.

80% of the loan amount = 80% * 117,700 = $94160

The APR is given by APR = 2 * (Interest rate per period) * 12 / (number of payments + 1)

Therefore, 10.16% = 2 * 9% * 12 / (number of payments + 1)

On solving the above equation, we get, Number of payments = 360

Monthly payment, P is given by,

P = A / D, where A is the loan amount and D is the discount factor.

D = {[(1 + i)^(n)] - 1} / [i(1 + i)^(n)], where i is the interest rate per month and n is the total number of payments.

Substituting the respective values in the formula, we get;

i = 9% / 12 = 0.0075 and n = 360.

P = 94160 / {[(1 + 0.0075)^(360)] - 1} / [0.0075(1 + 0.0075)^(360)] = $726.94

Therefore, James's monthly payment if he borrows through R.T.C. Savings and Loan is $726.94.

(c) Use the APR to approximate the fees included in the finance charge by Bank of the Future:

Given that Loan amount is = $117,700 and The APR is 10.23%.

Interest rate per period = 10.23% / 2 = 5.115%

Therefore, the fees included in the finance charge by Bank of the Future, x is given by;

Fees = Loan amount * (APR - Interest rate per period) = 117,700 * (10.23% - 5.115%) = $3403.65

Therefore, the fees included in the finance charge by Bank of the Future is $3403.65.

(d) Use the APR to approximate the fees included in the finance charge by R.T.C. Savings and Loan:

Given that Loan amount is = $117,700 and The APR is 10.16%.

Interest rate per period = 10.16% / 2 = 5.08%

Therefore, the fees included in the finance charge by R.T.C. Savings and Loan, x is given by;

Fees = Loan amount * (APR - Interest rate per period) = 117,700 * (10.16% - 5.08%) = $3144.02

Therefore, the fees included in the finance charge by R.T.C. Savings and Loan is $3144.02.

(e) Discuss the advantages of each of the two loans:

The advantages of R.T.C. Savings and Loan are:

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Answer:

Step-by-step explanation:

Let the  number be 'x'

x*8 + 6 = 7

8x + 6 = 7

   8x   = 7 - 6

  8x = 1

    x = 1/8

Answer:

\( = >( x \times 8) + 6 = 7\)

\( = > 8x= 7 - 6\)

\( = > 8x = 1\)

\( = > x = \frac{1}{8} \)

Answer:

Differentiate using the Product Rule,

\(\frac{d}{dx}\)[f(x)g(x)]=f(x)\(\frac{d}{dx}\)[g(x)]+g(x)\(\frac{d}{dx}\)[f(x)]

\(\frac{30(2x-1)^2}{(4x+3)^4}\)

Step-by-step explanation:

Answer:

32 cookies and 3 left over

Step-by-step explanation:

Answer:

11.020

Step-by-step explanation:

vol of l.supe = k(lochness)

88.21 * 10^10 = k( 7.45 * 10^9)

divide and k =11.020

in fraction = 1642/149

The sampling distribution of the difference in sample proportions will be approximately normal, provided that the sample sizes are large enough and certain conditions are met.

The shape of the sampling distribution can be determined by the Central Limit Theorem (CLT), which states that when sampling from a population, the sampling distribution of a sample statistic approaches a normal distribution as the sample size increases. In the case of the difference in sample proportions, the CLT applies if the sample sizes are large enough for each proportion and if the samples are independent.

When these conditions are met, the sampling distribution of the difference in sample proportions will be approximately normal. The exact shape of the distribution will depend on the population proportions and the sample sizes, but it will be symmetric and bell-shaped. This allows for the use of statistical tests and confidence intervals based on the normal distribution to make inferences about the difference in proportions.

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The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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The domain and codomain of the function f(n) = n^2 + 1 are both the set of integers. The range of the function is all positive integers (including zero).

To find the domain, codomain, and range of the function f(n) = n^2 + 1:

1. Domain: The domain is the set of all possible input values for the function. In this case, since the function is defined for "the set of integers," the domain is the set of all integers.

2. Codomain: The codomain is the set of all possible output values for the function. In this case, the function is defined as f(n) = n^2 + 1, where n is an integer. Therefore, the codomain is also the set of integers.

3. Range: The range is the set of all actual output values that the function produces for the given inputs. To find the range, we can substitute various integer values for n and observe the corresponding outputs. Since the function is defined as f(n) = n^2 + 1, the smallest possible output value is 1 (when n = 0), and there is no upper limit for the output. Hence, the range is all positive integers (including zero).

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