Find the 84th term of the arithmetic sequence -5,15,35, ...

Answers

Answer 1

The 84th term of the sequence is 1655

How to determine the 84th term?

The arithmetic sequence is given as:

-5, 15, 35, .....

The above sequence has the following parameters:

Initial value, a = -5Common difference, d = 20

The nth term of the sequence is:

Tn = a + (n - 1) * d

So, we have:

T84 = -5 + (84 - 1) * 20

Evaluate

T84 = 1655

Hence, the 84th term of the sequence is 1655

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Related Questions

Currently bank customers wait approximately 7.5 minutes during peak hours to be served by a teller. Suppose the bank manager hires another teller and wants to show that the wait time has now decreased. She takes a random sample of 50 customers during peak time and finds that the average wait time is 9.3 minutes. Which of the following statements is the correct alternative hypothesis?a) H1: µ < 7.5b) H1: µ ≠ 7.5c) H1: µ > 7.5d) H1: µ > 9.3e) H1: µ < 9.3

Answers

Answer:

a) H1: µ < 7.5

Step-by-step explanation:

From the given information:

mean = 7.5

sample size = 50

sample mean = 9.3

The main task we are to carry out is to identify the correct alternative hypothesis:

Now to do that, let's state the null and the alternative hypothesis from the given study.

The null hypothesis can be computed as:

[tex]\mathbf{H_o: \mu \geq 7.5}[/tex]

The alternative hypothesis can be computed as:

[tex]\mathbf{H_1: \mu < 7.5}[/tex]

Thus, this test hypothesis is a one-tailed test (left tailed).

What is the length of the hypotenuse of the triangle?

Answers

Answer:

It depends, you have to use the Pythagorean Theorem

explanation:

Answer:

If you have both legs, then you can use the PYTHAGOREAN THEOREM to find the value of the hypotenuse. a^2 + b^2 = c^2 ( a= leg, b = leg, c = hypotenuse)

Step-by-step explanation:

If you do not have a leg value, but you do have an angle measure, then you can use Sine or Cosine to find the hypotenuse. Sin = opposite/hypotenuse and Cos = adjacent/hypotenuse.

Let me know if you need further explaination!

pls help asap :(
solve for h

Answers

h = 3v/πr2

isolate the variable by dividing each side by factors that dont contain the variable.

The table below shows four problems using decimals.
Problem
Problem
Number
1
2
3
How many grams are in 2.3 kilograms? Recall that there are 1000
grams in a kilogram.
How many 85-cent nutrition bars can Mary buy for $20.00?
How many quarts does Mike have to buy for a recipe that calls for
13.7 cups? Recall that there are 4 cups in a quart.
How many days will a trip take if it takes 152.45 hours? Recall that
there are 24 hours in a day.
4.
Which problem would be solved using multiplication, and what is the solution to the problem?
Problem 1 requires multiplication. There are 2300 grams in 2.3 kilograms.
Problem 2 requires multiplication. Mary can buy 23 nutrition bars.
Problem 3 requires multiplication. Mike has to buy 54.8 quarts for the recipe.
Problem 4 requires multiplication. The trip will take 3658.8 days.
Nark this and retum

Answers

Answer

The answer is A

Answer:

It is A. my friend

Step-by-step explanation:

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How far would she travel in 1 minute?

Answers

Answer: She can travel a quarter of a mile in 1 minute.

Step-by-step explanation: In 8 mins she can bike 2 miles and if you split that in half then you can see she can bike 1 mile in 4 min then you can say ok well in 2 mins she can bike half a mile and just split that again and you have a Quarter of a mile in one Minute...

Thirty pounds of lemon drops are to be mixed with cherry chews to make a mixture that will sell for $1.60 per pound. How much (in Ib) of the more expensive candy should be used? See the table.

Answers

About a million and two maybe 3

Evaluate y 2 -y 1 x 2 -x 1 given the following values x 1 =10,x 2 =0,y 1 =14 and y 2 =6

Answers

Answer: the answer is 2

Step-by-step explanation:

If a 12.4 centimeter cloth is cut into 3.1 inch ribbons, how many ribbons will there be?

Answers

Answer: There will be 4 pieces of ribbon

Find the measure of angle 1.
152
115
mZ1 =
Please help mee:(

Answers

Answer:

37°

Step-by-step explanation:

We have been given the diagram of the triangle;

 To find the angle I;

 We need to apply one of the geometry laws,

The sum of adjacent internal angles of a triangle gives the external angle;

So;

      I + 115  = 152

   Solve for I;

      I  = 152 - 115 = 37°

A box has a volume of 30 cubic cm. the box is filled with unit cubes, with no gaps or overlaps. each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height. how many unit cubes fill the box A:90
B:10
C:30
D:33

Answers

Answer:

C. 30.

Step-by-step explanation:

Each cube has a volume  of 1 * 1* 1 = 1 cu cm.

The answer is 30 unit cubes because 30 *1 = 30.

The box is filled with 30 unit cubes.

The formula to calculate the volume of a cube: -

For a cube with side length 'a' volume V is,

[tex]V=a^{3}[/tex] cubic units

In this question, a box has a volume of 30 cubic cm.

The box is filled with unit cubes, with each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height.

Let [tex]V_{s}[/tex] represents  the volume of each unit cube and [tex]V[/tex] represent the volume of the box.

The length of each side of a unit cube is 1 cm.

So, [tex]V_{s}=(1)^{3}[/tex]

⇒ [tex]V_{s}=1[/tex] cubic cm

Let there are n unit cubes filled in the box.

⇒ [tex]V=n\times V_{s}[/tex]

⇒ [tex]30=n\times 1[/tex]

⇒[tex]n=30[/tex]

Therefore, 30 unit cubes are filled in the box.

Hence, option C. 30 is the correct answer.

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4+7x=-10+5x please answer

Answers

X=-7    

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

-7

4+7x=-10+5x
+10 +10
14+7x=5x
-7x -7x
14=-2x
14/-2 -2x/-2
-7=x

what is the value of n n+11=13​

Answers

Answer:

n = 2

Step-by-step explanation:

[tex]n + 11 = 13[/tex]

Subtract 11 from both sides to isolate n.

[tex]n + 11 - 11 = 13 - 11[/tex]

[tex]n = 2[/tex]

How is dividing and multiplying with an area model similar and How is it different?

Answers

Answer:

In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

Some students are planning to sell gourmet popcorn at a school fundraiser. They plan to offer cheese popcorn and peanut butter popcorn. The table shows the cost of the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.

The students want to make and sell 100 containers of popcorn. They can spend at most $50 for the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.

Answers

Answer : 5 Step-by-step explanation:

Write an equation for the line that passes through (4, 5) and (6, 7).
|

Answers

Answer:

y=x+1

Step-by-step explanation:

The first step I took was to find the slope. A slope is equal to the rise over the run. The equation goes up 2 for every 2 it goes over, which means that the slope is 2/2 or 1. Then you need to determine the y intercept. I usually go about this by thinking logically about the problem. Because there is a point at (4,5) and the slope is 1, there must also be a point at (3,4) (2,3) (1,2) and (0,1) Because the x value in (0,1) is 0, we know that the y intercept must be 1, so I added 1 to the equation. The last step is putting it all together. We know that a linear equation is y=mx+b (m being the slope, b being the y-intercept) so the final equation is y=x+1

Let p: x = 4
Let q: y=-2
Which represents "lf x = 4, then y = -2"?
Opvg
орла
Op-9
O p +9

Answers

[tex]p\longrightarrow q[/tex].

Hope this helps.

If p (x=4) then q (y=-2), the conditional statement is "p → q".

The correct option is C.

What is a conditional statement?

A conditional statement is a sentence with the syntax "If p, then q." Here, the letters "p" stands for "hypothesis" and "q" for "conclusion."

The statement "If x = 4, then y = -2" can be written as a conditional statement, where the hypothesis is "x = 4" and the conclusion is "y = -2".

The symbol for a conditional statement is "→".

Therefore, the answer is "p → q", which reads as "If p (x = 4) then q (y = -2)".

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John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?

Answers

Answer:

24

Step-by-step explanation:

13+11=24

so 13(the amount he gave Rhea) +11(the amount he has left) = 24 . total in the container was 24 .

Find the common ratio of the geometric sequence 18,-90,450,...

Answers

Answer:

try looking it up on socratic

Answer:

-5

Step-by-step explanation:

The common ratio is what you have to multiply one term by to get the next term.

so:

[tex]18 \times r = -90\\-90 \times r = 450[/tex]

where r is the common ratio

We can solve these equations:

-90 / 18 = -5

450/-90 = -5

therefore the common ratio is -5

Solve the inequality.

negative 2 times left parenthesis 6 plus s right parenthesis is greater than or equal to negative 15 minus 2 s

Answers

-2 ( 6 + s ) >_ -15 - 2s

We distribute the left side of the inequality.

-12 - 2s >_ -15 - 2s

Add 2s on both sides.

They cancel out, and we’re left with:

-12 >_ -15

This is surprisingly a true statement, so s = 0 in order for us to end up with this again.

Hopefully it’s right. Good luck!

Matthew filled up his with gas for a total of $22.54. He noticed he purchased 9.2 gallons of gas. What is the price of 1 gallon of gas?

Answers

Answer:

$2.45 per gallon

Step-by-step explanation:

Divide to find the answer:

22.54 / 9.2 = 2.45

The answer is 2.45 gallon.

The slope of AB is 2/3, A(1,-4) and B(-5,y). Solve for the value of y.

Answers

y=5

the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.
y=9-4(y coordinates of A)
=5

Answer:

y=5

Step-by-step explanation:

the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.

y=9-4(y coordinates of A)

=5

A manufacturer of household washing machines wants to determine the effectiveness of the type of detergent used (three brands – A, B, and C) and the length of time for the washing cycle (18, 20, and 22 minutes). The manufacturer prepared 18 standard household laundry loads (having equal amounts of dirt and the same total weight) to conduct the study. The manufacturer randomly assigned two loads to each type of detergent, time combination. The researcher recorded the amount of dirt removed. Use a 5% significance level, for all hypothesis tests and confidence intervals. What is the alternative hypothesis for testing the interaction?

Answers

Answer:

Two-Factor ANOVA with replication

Step-by-step explanation:

Types of detergent used ( A,B,C ) = 3

Length of time for the washing cycle : A = 18 mins, B = 20 mins, C = 22 mins

number of laundry loads = 18

significance level = 5%

The alternative hypothesis for testing the interaction is a Two-Factor ANOVA with replication this is because the factors that have variations are the : The type of detergent and the length of time for a washing cycle while the load is constant for all.

114 = 3 (y + 18) what is the missing value

Answers

Answer:

y= 20

Step-by-step explanation:

114 = 3y + 54

114 - 54 = 3y

60 = 3y

y = 60 ÷ 3

y = 20

3 different numbers which are all equivalent to 10

Answers

Answer:

2 4 6

Step-by-step explanation:

A recipe calls for 4c of flour. You have 20 c of flour. Let r represent the flour you when left after making the recipe. Is the remaining amount of flour 18c?

Answers

Answer:

r=16c

Step-by-step explanation

20-4=r

16=r

Use the substitution method to solve the system of equations. Choose the correct ordered pair 2x+y= 10
y=x-5
(a) (5,0)
(b) (7,2)
(c) (9,-8)
(d) (8,-6)​

Answers

Answer:

a (5,0)

Step-by-step explanation:

2x + y = 10 substitute y= x - 5 into that first equation

2x+(x-5)=10

2x+x-5=10

3x - 5 = 10

3x = 10 + 5

3x = 15

[tex] \frac{3x}{3} = \frac{15}{3} [/tex]

x=5

substitute the x into either the first or second equation

2(5) +y=10

10 + y = 10

y= 10 - 10

y = 0

therefore

x = 5 and y= 0

What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x + 3y = –5?

Answers

Divided by 5 is answer

Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commision on his sales, x. Maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. For what value of sales, x, will Jose's earnings be greater than Maris' earnings?

Answers

Answer:

x>$25000

Step-by-step explanation:

You deposit $800 in an account that earns simple interest at an annual rate of 5%. How many years must you leave the money in the account to earn $100 in interest?
Answer value

Answers

Answer:

yduhegeggegeheygegeveheyegeveheuegeveve

Step-by-step explanation:

your very welcome

Adding/Subtracting Rational Expressions ​

Answers

9514 1404 393

Answer:

  (4x^2 +21x +18)/(3x^2 +34x -24)

Step-by-step explanation:

I find it helpful to keep in mind the form ...

  a/b + c/d = (ad +bc)/(bd)

When we apply that to this case, we get ...

  [tex]\dfrac{x+3}{x+12}+\dfrac{x+2}{3x-2}=\dfrac{(x+3)(3x-2)+(x+12)(x+2)}{(x+12)(3x-2)}\\\\=\dfrac{(3x^2+7x-6)+(x^2+14x+24)}{(x+12)(3x-2)}=\boxed{\dfrac{4x^2+21x+18}{3x^2+34x-24}}[/tex]

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