Find the 75th term of the arithmetic sequence
16, 15, 14,

Answers

Answer 1

Answer:

[tex]a_{75}=-58[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

For the given sequence, the common difference is -1:

[tex]15-16=-1\\14-15=-1[/tex]

Knowing both the common difference and the first term, you can write the equation for this sequence:

[tex]a_n=16+(n-1)(-1)[/tex]

Then you can use that equation to find the 75th term:

[tex]a_{75}=16+(75-1)(-1)\\a_{75}=16+(74)(-1)\\a_{75}=16-74\\a_{75}=-58[/tex]


Related Questions

Please answer with an explanation

Answers

Answer:

-2(1-2p)

Step-by-step explanation:

-7-4p-(-5)

-(-5)=5

=-7-4p+5

=5-7-4p

=-2-4p

=-2(1-2p)

write 9^3 x 27^2 as a single power of 3

Answers

Answer:

3^12

Step-by-step explanation:

9³=(3²)³=3^6

27²=(3³)²=3^6

So together, it is 3^12

Answer:

3^12

Step-by-step explanation:

9^3 x 27^2

Rewrite 9 as 3^2 and 27 as 3^3

3^2^3  * 3^3^2

We know that a^b^c = a^(b*c)

3^(2*3)  * 3^(3*2)

3^6   * 3^6

We know that a^b  * a^c = a^(b+c)

3^(6+6)

3^12

What is the volume of the container

Answers

Answer:

1468 in

Step-by-step explanation:

1) Find volume of entire figure

10*10*15=1500

2) Find volume of small piece that is cut out

2*4*4=32

3) Subtract smaller number from bigger number

1500-32=1468

Answer:

1,468 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume = length * base * height

Volume = 10 * 10 *15

10 * 10 *15 = 1500

To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.

4 * 4 * 2 =32

1500-32 = 1468 in^3

how to find r in a geometric sequence calculator

Answers

Step-by-step explanation:

We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.

Pls help right answer gets brainliest

Answers

Answer:

x=3/2

Step-by-step explanation:

      .D                         .I

          9x                           7x+3

.C           .E             .H             .J

7x+3=9x

-7x     -7x

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

3=2x

--  --

2  2

x=3/2

Check

9(3/2)=13.5

7(3/2)+3=13.5

Find 66.9% of 160.6. Round to the nearest thousandth.

Answers

Answer:

160 is the answer I just toke the quiz

the answer is 107.441

Identify all the obtuse angles shown

Answers

Answer:

Option D is correct.

Explanation:

An obtuse angle is an angle that has more than 90°. In the picture, we can clearly see that ∠XYZ has more than 90°. This is an obtuse angle. ∠XWZ is also more than 90°, so that angle is also classified as an obtuse angle. Hence, Option D is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

a baker has 3 pounds of sugar. the baker will put the sugar into 5 canisters. each canister will get the same amount of sugar. How much sugar will be in each canister?

Answers

Answer:

3/5 or .6 grams of sugar

Step-by-step explanation:

You would just do 3/5 and get .6 Hope this helps :)

Answer:

Step-by-step explanation:

0.6 pounds

what are the coordinates of the circumcenter of this triangle

Answers

Answer:

We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .

Step-by-step explanation:

what is the solution for x^0.5logx=0.01x^2 ?

Answers

Answer:

x1= 100 x2=99.999

Step-by-step explanation:

[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]

[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]

u=log(x)

[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]

[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]

[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]

How to solve 9/11 * —- = 3/4

Answers

Answer: 9/11 diveded by 3/4

Step-by-step explanation: divde to get middle answer

The square root of a certain number is 9.5671 . The certain number is between which 2 integers?

Answers

Answer:

91 & 92

Step-by-step explanation:

Answer:

9.5671*9.5671=91.52940241

between 91 and 92

Hope This Helps!!!

Which of the following

Answers

Answer:

which of the following what??

Step-by-step explanation:

..

lowest common factor of 6 and 12

Answers

Answer:

36

Step-by-step explanation:

It's so obvious lollllll

Answer:

36

Step-by-step explanation:

Kile’s weight is 30 pounds less than the product of Mindy’s weight and 3. Let m represent Mindy’s weight. Write an expression that represents Kile’s weight.

Answers

Let m represent Mindy's weight.Therefore, product of Mindy's weight and 3 = m × 3 = 3mKile’s weight is 30 pounds less than the product of Mindy’s weight and 3.Therefore, Kile's weight can be represent by this:[tex]3m - 30[/tex]

Answer:

3m - 30

Hope you could get an idea from here.

Doubt clarification - use comment section.

Kiles weight is m Product of m and 3 means m and 3 are multiplied.

So the expression till now

[tex]\\ \sf{:}\Rrightarrow m(3)[/tex]

[tex]\\ \sf{:}\Rrightarrow 3m[/tex]

But the required weight is 30pounds less than it

[tex]\\ \sf{:}\Rrightarrow 3m-30[/tex]

In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?

Answers

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

The price of 40L petrol is £24, find the price of each litre.

Answers

Answer:

1.666666666666666666666666666666666666666666666666666

Step-by-step explanation:

Find the equation of this line.​

Answers

y=3x-4
Hope this helps!

Hayley is considering two gym membership plans. The plans are detailed here.
HELP ASAP 10 POINTS
Plan One: $40 for a monthly pass plus $4 for each gym visit

Plan Two: $12 for each gym visit.

Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?

Answers

Answer:

aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit

Step-by-step explanation:

How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?

Answers

Answer:

The answer is 15!

Step-by-step explanation:

225 divided by 15 is 15! Hope this helps! :)

a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?

Answers

54 tiles.

9x12=108feet
6x4=24in
Convert 108 feet into inches which will become 1296 inches.

1296/24 will give u 54 tiles

Answer:

Step-by-step explanation:

12 inches per foot

The floor is 9(12) = 108 inches by

12(12) = 144 inches

The floor area is 108(144) = 15552 sq. In.

Each tile is 4(6) = 24 sq. in.

Need 15552/24 = 648 tiles

The dimensions of the base of an office building are 5.5 x 10^4 feet by 3.45 x 10^5 feet. What is the perimeter of the base of the building, in feet?

Answers

Answer:

8×10^5

Step-by-step explanation:

Perimeter= 2( length + width)

= 2(34.5 × 10⁴ + 5.5 × 10⁴)

= 2(40 × 10⁴)

= 80 × 10⁴

= 8 × 10^5 feet

7/24*5/14*16/25
PLS HELP!!!!!!!

Answers

7/24*5/14*16*25= 1/15

What angle would you use to represent 5 blue cars out of 20 cars in total on a pie chart?

Answers

Answer:

check online for more information

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark ( 1 ) as the fraction bar if necessary.
10
(-4,8).
(-6,-4)
Answer here

Answers

Answer:

slope = 6

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (-6, - 4) and (x₂, y₂ ) = (- 4, 8) ← 2 points on the line

m = [tex]\frac{8-(-4)}{-4-(-6)}[/tex] = [tex]\frac{8+4}{-4+6}[/tex] = [tex]\frac{12}{2}[/tex] = 6

The slope of the line given in the task content is; m = 6.

What is the slope of the line?

The slope of the line is the rate of change of the dependent variable with respect to the independent variable.

On this note, the slope of the equation is;

Slope, m = (-4-8)/(-6-(-4))

m = -12/-2

m = 6.

Read more on slope;

https://brainly.com/question/3493733

#SPJ5

Someone please help. How can I solve this question?

Answers

Answer:

∠ LKJ = 64°

Step-by-step explanation:

Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is

∠ J = ∠ L = 58° , then

∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°

3,408 divided by 41

Explanation in traditional method



52 POINTS PLS HELP

Answers

Answer:

83.1219512195

Step-by-step explanation:

Hope this helps!

answer is:

83.12195

traditional method is either long division or short division

select all values equal to -4/5

Answers

Answer:

C and E

Step-by-step explanation:

the position of the minus either up or down affects both the numerator and denominator.

but if both number have minus the minus cancels each other

Answer:

B, C, E

Step-by-step explanation:

A is -/- and therefore +

B is - -/- = -+ = -

C is -/+ = -

D is - -/+ = -- = +

E is +/- = -

Does the table represent a function? Why or why not?

Answers

Answer:

B

Step-by-step explanation:

A function is happens when each input only has one output. In this table 4 and 5 have the same output, therefore this is not a function.

it's all i the picture help!! i don't remember how to solve it

Answers

I don’t know this but I need answers sorry
Other Questions
if anyone finds a kid named jax tell him im looking for him, thanks Is this grammatically correct?"I'm deleting my account tomorrow" why is it important to give back Put the following equation of a line into slope-intercept form, simplifying allfractions.x + 2y = -16 The radius of a circle is 2.5 centimeters (cm).What is the circumference of the circle? Which costs the least per can, a 24 pack of cola for 5.52,a 12 pack of cola for 2.64 or a 6 pack of cola for 1.35 which macromolecule is the main component of cell membranes The difference between a and 10 is less than 5 What was the government role during this period? find the value of x When creating an electromagnet using a nail, battery, and wire, which of the following will increase the magnetic force of the magnet? A wire that is 1.0 m long with a mass of 90 g is under a tension of 710 N. When a transverse wave travels on the wire, its wavelength is 0.10 m. What is the frequency of this wave? What is the balance between supply and demand called ? Describe your favorite piece of clothing How do you feel when you wear it? Do you have a favorite memory connected to this piece of dothing, and if so, what is it? Determine the value of x for the following equation: 9(x + 2) = 72 What is the measurement of ADB?A. 90B. 95C. 105D. 145 can someone help me for this? Type your response in the box.Read the following excerpt from Flannery OConnors A Good Man Is Hard to Find. This short story is about a family that includes an old woman, her son, Bailey, and the sons wife and children. What is the point of view of the excerpt? Pick out examples from the text to explain your answer.Bailey didn't look up from his reading so she [the old woman] wheeled around then and faced the children's mother, a young woman in slacks, whose face was as broad and innocent as a cabbage and was tied around with a green head-kerchief that had two points on the top like rabbit's ears. She was sitting on the sofa, feeding the baby his apricots out of a jar. "The children have been to Florida before," the old lady said. "You all ought to take them somewhere else for a change so they would see different parts of the world and be broad. They never have been to east Tennessee."The children's mother didn't seem to hear her but the eight-year-old boy, John Wesley, a stocky child with glasses, said, "If you don't want to go to Florida, why donncha stay at home?" He and the little girl, June Star, were reading the funny papers on the floor. PLEASE HELP WILL MAKE MOST BRAINLIEST IF POSSIBLE LOOK AT PICTURE The children at Lincoln School go outside for recess if the temperature is 3C or higher for what temperature will the students go outside? Write an inequality to represent this situation and then graph the solution