Write an equation for the nth term of the arithmetic sequence 37, 29, 21, 13, ....

An equation for the nth term of the arithmetic sequence is an

Answer:   [-13, 37]

======================================================

Explanation:

The smallest x value possible is 12-25 = -13

The largest x value possible is 12+25 = 37

It might help to draw out a number line to see this.

x is between -13 and 37, including both endpoints. We can write [tex]-13 \le x \le 37[/tex]

This converts to the interval notation [-13, 37] which is the answer.

The use of square brackets is to indicate "include this endpoint".

Step-by-step explanation:

[tex]c = 40 \\ b = 180 - 90 - 40 = 50[/tex]

[tex] \cos(40) = \frac{a}{12} \\ 0.766 = \frac{a}{12 } \\ a = 9.19[/tex]

Answer:

5.58

Step-by-step explanation:

Answer:

I believe the answer is 5.35

answer: i think that it would increase by about 20 percent

i am not sure, if i m wrong then i am very sorry!

Step-by-step explanation:

Answer:

The change is a decrease by ~13.6%

Step-by-step explanation:

Formula:

[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100

48 - 84 ÷ 48 + 84 ÷ 2 × 100

-36 ÷ 132 ÷ 2 × 100

-0.2727272727272727 ÷ 2 × 100

-0.1363636363636364 × 100

-13.63636363636364

Or ~ 13.6

The change is a decrease by ~13.6%

Answer:

I don't Know if this is division or fraction

Step-by-step explanation:

But I divided

and my answer was 5r4

Answer:

112°

Step-by-step explanation:

Each of the interior angles that measure 34° and mentioned there are two of them will add up to 68°.  A triangle must equal 180°.  Subtract 68 from 180 to get 112° as your final answer.

Answer:

112

Step-by-step explanation:

180-(34+34)

180-68

112

Answer:

[tex]B(t) = 300(1.01)^{t}[/tex]

Step-by-step explanation:

The balance owed after t months can be given by an exponential function in the following format:

[tex]B(t) = B(0)(1+r)^{t}[/tex]

In which B(0) is the initial balance owed and r is the growth rate, as a decimal.

You owe $300 on your credit card. For every month that you fail to make a payment, your balance increases by 1%.

This means, respectively, that [tex]B(0) = 300, r = 0.01[/tex]

So

[tex]B(t) = 300(1+0.01)^{t}[/tex]

[tex]B(t) = 300(1.01)^{t}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer:

a on edge

Step-by-step explanation:

Answer:

can you please describe this more and what it is then i will answer it in the comments

Step-by-step explanation:

Answer:

c2-63

Step-by-step explanation:

Answer: c

Step-by-step explanation:

You can take the blank as x

so 361.2 / x = 36.12

multiply by x

361.2 = 36.12x

divide

x = 10

thank me and mark me as brainlies

Answer:

10

Step-by-step explanation:

Answer:

-5.00 dollars

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

75-50-30=-5

Answer:

{3,6,7,10}

Step-by-step explanation:

2/3(3)+1=3

2/3(6)+1=5

2/3(7)+1=17/3

2/3(10)+1=23/3

Answer:

Margin of error for 90% C.I: 0.065

Margin of error for 99% C.I: 0.091

Margin of error for 95% C.I: 0.077

Step-by-step explanation:

In this question, for each student, there are only two possible outcomes. Either they use a pencil to take notes, or they do not. Students are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial confidence interval:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For this problem, we have that:

120 students, so [tex]n = 120[/tex]

90 responded favorably, so [tex]p = \frac{90}{120} = 0.75[/tex]

Margin of error for 90% CI:

Here [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 1.645\sqrt{\frac{0.75*0.25}{120} = 0.065[/tex]

Margin of error for 99% CI:

Here [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.325[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 2.325\sqrt{\frac{0.75*0.25}{120} = 0.091[/tex]

Margin of error for 95% CI:

Here [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 1.96\sqrt{\frac{0.75*0.25}{120} = 0.077[/tex]

Answer: Margin of error for 99% CI: z=2.575 . input that into the equation and it give you .1017

Step-by-step explanation:

Answer:

14/15

Step-by-step explanation:

2 1/3 - 1 2/5

1 4/3 - 1 2/5

0+14/15

final answer is 14/15

Answer:

0% probability that 3 of them have insurance

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they have insurance, or they do not. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Twenty-percent (20%) of Americans have no health insurance.

This means that 80% have insurance, so [tex]p = 0.8[/tex]

Randomly sample n = 15 Americans.

This means that [tex]n = 15[/tex]

What is the probability that 3 of them have insurance? ​

This is [tex]P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{15,3}.(0.8)^{3}.(0.2)^{12} = 0[/tex]

0% probability that 3 of them have insurance

Answer:

3 mark me brainlest

Step-by-step explanation:

Answer:

It is the 3rd one I think

Step-by-step explanation:

Hope this helps have an amazing day!

Answer:

It has only 1 pair of parallel sides.

Step-by-step explanation:

Answer:

It has only 1 pair of parallel sides

Step-by-step explanation:

length = 3 + w (width)

perimeter: 66

2(3 + w + w) = 66

6 + 2w + 2w = 66

6 + 4w = 66

4w = 60

w = 15

length = 15 + 3 = 18

final answer:

length = 15 yards

width = 18 yards

Answer:

see below

Step-by-step explanation:

[tex](x-y)+(y-z)+(z-x)\\\\=x-y+y-z+z-x\\\\=(x-x)+(-y+y)+(-z+z)\\\\=0+0+0\\\\=0[/tex]

What best determines whether a borrower's interest rate on an adjustable rate loan goes up or down is: A market's condition.

Market condition tend to have impact interest rate or determining whether borrower's interest rate on an adjustable rate loan goes up or down.

Reason being that market condition help to determine the current state of an economy at a specific period of time.

In order to determine if the interest rate will either increase or decrease the current market condition has to be put into consideration because it have great influence on interest rate.

Inconclusion What best determines whether a borrower's interest rate on an adjustable rate loan goes up or down is: A market's condition.

Learn more about market's condition here:https://brainly.com/question/15176320

Answer:

Option C: Markets Condition

This is here for the people who are too busy to read the other persons long answer :) So give him brainliest!

Answer: $2.3

Step-by-step explanation: well you need to find 10% of 23.45, so multiply .1 by 23.45.

[tex]23.45 \times 10\%[/tex]

[tex] = 23.45 \times 0.1[/tex]

[tex] = 2.345[/tex]

$2.35 is the tip amount

[tex]23.45 + 2.345[/tex]

[tex] = 25.795[/tex]

[tex] = 25.80[/tex]

$25.80 is the total bill

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

Answer:

They are parallel

Step-by-step explanation:

They both start with y=2/3x so you know the slope is the same. The +4 and -1 are just the intercepts

Answer:

its A=4,20, B=8,40

Step-by-step explanation:

you are supposed to do the Y first then the X

Answer:

B. every 4 miles you run it will have been 20 min

C. put 4 over 20 like a fraction then next to that put a 1 over x then cross multiply and divide giving you the answer wich is " for every mile you run you spend 5 min

D. 1/5 for every mile you spend 5 minutes

E. same thing as above

Step-by-step explanation:

Answer:

Step-by-step explanation:

THANKS 4 POINTS!!!!!!!

Given that,

An equation : [tex]y=x^2+9x+20[/tex]

To find,

The zeros of the above function.

Solution,

To find zero, put y = 0

[tex]x^2+9x+20=0\\\\x^2+5x+4x+20=0\\\\x(x+5)+4(x+5)=0\\\\(x+4)=0\ \text{and}(x+5)=0\\\\x=-4\ \text{and}\ x=-5[/tex]

So, the zeros of the above quadratic equation is -4 and -5.

Answer:

41 pages of notes

Step-by-step explanation:

Since he took 1 page of notes for each hour, and attended 33 hours of class, this will add 33 pages of notes to his notebook.

To find the total, add 8 to this, because he already had 8 pages on his own.

33 + 8

= 41

So, he will have 41 pages of notes in his notebook

Answer:

He will have 41 pages of notes in his notebook.

Step-by-step explanation:

(33*1)+8

30*1=30

3*1=3

30+3=33

33+8

41

Answer:

[tex]\boxed {\boxed {\sf 750 \ Joules}}[/tex]

Step-by-step explanation:

Kinetic energy can be found using the following formula.

[tex]E_k=\frac{1}{2}mv^2[/tex]

where m is the mass and v is the speed.

We know this is a15 kilogram mass moving with a speed of 10 meters per second. Therefore:

[tex]m= 15 \ kg \\v= 10 \ m/s[/tex]

Substitute the values into the formula.

[tex]E_k=\frac{1}{2}(15 \ kg)(10 \ m/s)^2[/tex]

Solve the exponent first.

[tex]E_k=\frac{1}{2}(15 \ kg)(100 \ m^2/s^2)[/tex]

Multiply 100 m²/s²and 15 kg.

[tex]E_k=\frac{1}{2}(1500 \ kg*m^2/s^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]E_k= 750 \ kg*m^2/s^2[/tex]

[tex]E_k= 750 \ J[/tex]

The kinetic energy is 750 Joules.