Find the term of the arithmetic sequence in which a 27=-1/2 and the common difference is 2.

Answers

Answer 1

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.

a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52

a1 = -52 1/2 = -105/2

an = -105/2 + (n-1)×2


Related Questions

I need help with this please.

1. Which value is the closest to 1/9 • 24/25 (fractions)

a. 0
b. 0.5
c. 1
d. 21/20 (fraction)

Explain your answer:

Answers

Answer:

Option A: 0

Step-by-step explanation:

Given the multiplication of fractions, [tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}}[/tex]:

Simply multiply the numerators (together), as well as the denominators.

In other words:

[tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}\:=\frac{1\:\times\:24}{9\:\times\:25}\:=\:\frac{24}{225}}[/tex]

Since 24 and 225 do not have common multiples, then we cannot simplify the fraction into its lowest terms.

Next, in order to find out which is the closest value to the product, [tex]\huge\mathsf{\frac{24}{225}}[/tex], divide the numerator by the denominator, which gives you the following quotient:

[tex]\huge\mathsf{\frac{24}{225}\:=\:24\:\div\:225\:=\:0.1067}[/tex] or 0.11.

We must compare this quotient with the other options:

Option A) 0: This is a possible answer, since rounding 0.11 to the nearest ones (whole number) is 0.

Option B) 0.5:  Unlikely a valid answer, since the digit on the hundreths place is 0.11, and rounding it up to the nearest tenths will become 0.1.

Option C) 1: Definitely not a valid answer, according to the explanations provided in Options A and B.

For Option D) [tex]\huge\mathsf{\frac{21}{20}}[/tex] , we need to find its equivalent decimal form by dividing its numerator by the denominator:  [tex]\huge\mathsf{\frac{21}{20}\:=\:21\:\div\:20\:=\:1.05}[/tex]. Hence, it is also not a valid answer, according to the explanations provided in Options A and B.

Therefore, the closest value to  [tex]\huge\mathsf{\frac{24}{225}\:=\:0.11}[/tex] is Option A) 0.

(6x + 7) + (13x + 21) = 180
x =

Answers

Answer:

Step-by-step explanation:

x=4

A bread recipe uses 3 tablespoons of olive oil for every 1 clove of crushed garlic. Complete this table to show different-sized batches of bread that tastes the same as the recipe. number of batches olive oil (tablespoons) crushed garlic (cloves) 1 3 1 2
Question Blank
type your answer...
2 0.5 1.5
type your answer...
4
type your answer...
4

Answers

Answer:

What? I don't understand your question.

Step-by-step explanation:

just no just n oh yeah btw shoot some


ANSWER FAST PLEASE !!




Use synthetic division and the remainder theorem to find P(a).
P(x) = x^3 + 5x^2 - 6x +6; a = 4
P(a) =
Simplify your answer

Answers

Answer:

[tex]1 + 2 = [/tex]

answer

What is the constant of proportionality in the equation
Below

Answers

Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

Which coin does Jeff have the most of in his collection?

nickel
penny
dime

Answers

Answer:

dimes

Step-by-step explanation:

Answer: dimes

Step-by-step explanation:

would this be A? Im not too sure about this.

Answers

Answer:

You're correct

Step-by-step explanation:

Basically, just add the answers with the given 67° until you get 180°

Yup it would be A :)

Please find the slope of these tables

Answers

Step-by-step explanation:

To calculate each slope, just take any two points from each table, and plug them into this formula:⤵⤵⤵

(It'll be a bit small btw)

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

Table 1: I chose points (13,1) and (5,21)

21 - 1 = 20

5 - 13 = -8

Simplified = -5/2 Slope

Table 2: I chose points (4,16) and (9,19)

19 - 16 = 3

9 - 4 = 5

3/5 Slope

Table 3: I chose points (0,6) and (9,0)

0 - 6 = -6

9 - 0 = 9

Simplified = -2/3 ⬅ Slope

Table 4: I chose points (-8,1) and (-8,17)

17 - 1 = 16

-8 - (-8) = -8 + 8 = 0

Undefined slope (meaning the line will just be verticle)

Table 5: I chose points (2,3) and (3,5)

5 - 3 = 2

3 - 2 = 1

Simplified = 2 Slope

Hope this helps :)

Selena and Demi run a gift delivery business. Selena charges a delivery fee that is $18, and she also charges $6 per gift delivered. Demi charges $16, and she also charges $8 per gift delivered. How many gifts have to be delivered before they charge the same amount?

Answers

Answer:

1 gift

Step-by-step explanation:

Cost per gift + delivered cost

Selena       $6x + $18        

Demi           $8x + $16

$8x + $16 = $6x + $18

 $2x - $16 = $18

  $2x = $18 - $16

   $2x = $2

      x = 1

Find the equation of the line.
Use exact numbers.

y = ___x + ___

Answers

Step-by-step explanation:

formula: y=mx+b

First you gotta find M witch is Slope.

B is the y-intercept which is -2

then you have to do rise/run

so up 2

right 3

= 2/3

so your answer would be

y=2/3-2 because you can't simplify 2/3

What is the answer of this question please reply!

0.00536 by 25​

Answers

Answer:

0.134

Step-by-step explanation:

"By" means multiplied by, so the question is, what's 0.00536 multiplied by 25?

In the first step, we multiply all the numbers in the decimal by 5, and we get 0.02680. In the second, we multiply all the numbers in the decimal by 20, and we get 0.10720. Then we add the two together and get 0.134.

I hope that helped :)

-5/6e-2/3=-24 what does e=

Answers

Answer:

-5e/6-2/3=-24

Step-by-step explanation:

1 Solve for the unknown variable:

Answers

Answer:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Step-by-step explanation:

Here hypotenuse is c, opposite is a and adjacent is b.

c^2 = a^2 + b^2

16^2 = a^2 + 12^2

a^2 = 16^2 - 12^2

a^2 = 112

a = √112 or 10.58

As the question uses inches I think it would be better if you wrote 10.58 in.

Hopefully this helps!!

Solve the inequality and enter your solution as an inequality.

X-4<6​

Answers

Answer:

x < 10

Step-by-step explanation:

Given: x -4 < 6​

Add four to both sides: x < 10

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Find the unit rate for each problem.​

Answers

Answer:

1. 11 players per team

2. 60 miles per hour

3. 25 games per season

4. 60 words per minute

Step-by-step explanation:

1) 132 players divided by 12 teams = # of players per team

132/12 = 11 players per team

2) 240 miles divided by 4 hours = # of miles per hour

240/4 = 60 miles per hour

3) 125 games divided by 5 seasons = # of games per season

125/5 = 25 games per season

4) 180 words divided by 3 minutes = # of words per minute

180/3 = 60 words per minute

Order the numbers from least to greatest.
1,553
1,347
1,644; 1,553; 1,347
b. 1,347; 1,553; 1,644
1,644
a.
C.
1,553; 1,347; 1,644
Please select the best answer from the choices provided
Ο Α
Ο Ο Ο
B

Answers

Answer:

b even though you made this hard to read lol, its b

Step-by-step explanation:

Can someone please give me examples of linear, quadratic, Absolute value, square root, cubic, cube root, exponential, logarithmic, and rational function (parent function) equations to help my friend? Please and thank you. I'll give brainliest to the first person who does all of them and get them right.

Answers

Answer:

Step-by-step explanation:

Consider the cube root parent function.

( graph in photo below )

Complete the statements to make them true.

A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.

For the parent cube root function, ( 3 ) ____________ located at .

Answer:

1. always

2. always

3. both intercepts are

the explination photos below

Answer:

I got you

[tex]f(x)=3x+2[/tex]

[tex]f(x)=4x^2+3x+7[/tex]

[tex]f(x)=|x+4|[/tex]

[tex]f(x)=\sqrt{x+12}[/tex]

[tex]f(x)=6x^3+4x^2-3x-5[/tex]

[tex]f(x)=\sqrt[3]{3x-5}[/tex]

[tex]f(x)=2^x[/tex]

[tex]f(x)=log_3(x)[/tex]

[tex]f(x)=\frac{x+5}{x-3}[/tex]

Each function is respective to the order of the list given.

Let me know if you want the graphs

A farmer has 24 bushels of apples and can harvest 22 bushels of apples each day?

Answers

Answer:

................ I don"t know sorry I hate you

+ 1 x 4
2-
ax + b
can be written as a single fraction in the form
X2 x + 2
x² - 4
where a and b are integers.
x+ 2 x -
Work out the value of a and the value of b.

Answers

[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]

so : a = 3   b = -18

ok done. Thank to me :>

what is the volume of the prism ?

Answers

Answer:

150 units squared

Step-by-step explanation:

Please help me this is due tomorrow.

Answers

Answer:

C

Step-by-step explanation:

The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.

Answer: I think it’s D

Step-by-step explanation:

Dave created a video that was originally 64 minutes long, but he ended up cutting it by 13%. How long was his video after he cut it?

Answers

Answer:

70 minute

it was help full

We have to find 13% of 64 minutes. So that’s 64 x 13 / 100= 8.32 minutes
Now subtract that from 64 minutes:
64-8.32= 55.68 minutes

Five numbers with mean 4, mode 3, and range 9

Answers

Answer:

6,6,6,6,6

Step-by-step explanation:

You’d have to have an odd number of 6s and more than one, so either 3 or 6 of the numbers will have to be 6s

6, 6, 6, 6, 6

5, 6, 6, 6, 7 (the 5 and 7 could be replaced by 4/8, 3/9, 2/10, or 1/11 - as long as balance is preserved)

Write a differential formula that estimates the change in volume of a sphere when the radius changes from

Answers

Answer:

d.

took the test

Step-by-step explanation:

3.
(03.06)
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. (2 points)


f(x) = (x −8)2
f(x) = (x −4)2−13
f(x) = (x −4)2 + 3
f(x) = (x −4)2 + 16

Answers

Answer: f(x) = (x −8)2

Step-by-step explanation:

Find the inverse function in slope-intercept form (mx+b):
f(x) = -x - 5

Answers

Answer:

In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:

m(x) = 5x - 5

y = 5x - 5

x = 5y - 5

5y = x + 5

y = (x + 5)/5

Step-by-step explanation:

hope this is helpful

Answer: f ^−1(x)=x+5

Help Me Within 7 Minutes for brainliest. I already have a sorta guess But I'm not positive, A little help here? I want to confirm my answers and it seems no one else ever posted this question out.

Answers

y=3x+5

m=3

Parallel lines has equal slope .

So equation of parallel line also have slope 3

Take the 2nd option

[tex]\\ \sf\longmapsto 6x+2y=12[/tex]

Cut 3

[tex]\\ \sf\longmapsto 3x+y=4[/tex]

[tex]\\ \sf\longmapsto y=-3x+4[/tex]

Note the answer

Take 3rd option

[tex]\\ \sf\longmapsto -3x+y=8[/tex]

[tex]\\ \sf\longmapsto y=3x+8[/tex]

Take the 1st option

[tex]\\ \sf\longmapsto 3y=9x[/tex]

[tex]\\ \sf\longmapsto y=3x[/tex]

Option C and A is correct

Answer:

C and A

Step-by-step explanation:

Parallel means same slope, which is 3. Just solve for y in each equation, and see if 3 is the slope.

a. 3y = 9x

y = 3x

---

b. 6x + 2y = 12

2y = -6x + 12

y = -3x + 6

---

c. -3x + y = 8

y = 3x + 8

---

d. y = -1/3 x

I dont know how to solve these still

Answers

Answer:

x = 20*

Step-by-step explanation:

180 - 110 = 70

90 - 70 = 20

x = 20*

reason is #5 Algebra

Have a nice day! :-)

Solve the equation for X:
4x2 + 15x = 4

Answers

Answer:

15x=-4

Step-by-step explanation:

State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~

Answers

Answer:

  b.  not similar

Step-by-step explanation:

Side SC of the smaller triangle is ...

  96 -57 = 39

So, the side lengths of the small triangle, shortest to longest, are ...

  39, 40, 44

Side ST of the larger triangle is ...

 44 +64 = 108

So, the side lengths of the large triangle, shortest to longest, are ...

  96, 96, 108

These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.

_____

Additional comment

The larger triangle is isosceles. The smaller triangle is not.

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