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3 years ago

Hi what is the answer for this

Mathematics

2 answers:

svp [43]3 years ago

5 0

a = a + d(n-1)

n 1

this is the formula for the arithmetic sequence.

the first sequence is arithmetic

an=1+7(n-1)

the second sequence is also arithmetic

an=12+4(n-1)

tensa zangetsu [6.8K]3 years ago

5 0

Expression for nth Term:

a) 1 + 7(n-1)

b) 12 + 4(n-1)

Step-by-step explanation:

The formula for the nth Term of a Linear Sequence = a + i (n-1)

a = Starting number

i = Increment between patterns

n = The number of the Term that you seek

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ValentinkaMS [17]

Answer:

FALSE

Step-by-step explanation:

4 0

3 years ago

What are the answers

gulaghasi [49]

Answer and Step-by-step explanation:

7. 70 - 180 = 110

8. 39 - 180 = 141

9. 81 - 180 = 99

10. 81 - 180 = 99

11. 115 - 180 = 65

12. 41+36 = 77 - 180 = 103

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4 0

3 years ago

Solve and find x 3x+2/4x+1=5x+1/3x+2

horrorfan [7]

Step-by-step explanation:

$3x + \frac{2}{4} x + 1 = 5x + \frac{1}{3} x + 2 \\ 1.833 x+ 1 = 0 \\ 1.833x = - 1 \\ x = 0.545$

5 0

3 years ago

Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the

Ray Of Light [21]

Answer:

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

Sample mean ( x^ ) = 12.3 mins

Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025

Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of walking times is given below:

[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]

Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]

3 0

3 years ago

can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'

baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

$\frac{8}{100}=0.08$ 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

$0.08(8.45)$ 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

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

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

$\frac{15}{100}=0.15$

and multiply it by the original bill.

$0.15(8.45)=1.2675$ . Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

$8.45+1.27=9.72$

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

$\frac{15}{100}=0.15$

Multiply by the new bill (because this is the one that includes tax)

$0.15(9.13)=1.3695$ Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0

3 years ago