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

Find the value of x 47 and 22

Answers

Answer:

111

Step-by-step explanation:

U calculate the 47°&22°and u cut 69° then u put 180-69=111°

What did she do wrong? What can she do to prevent this?

Answers

Answer:

y = 8x + 14  (8x is WRONG)

This is how it is supposed to be

y - 2 = 6x + 12

y = 6x + 14

She must combine like terms, not unlike terms

Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Drawing Tools
Click on a tool to begin drawing.

Answers

x intercept=-5y intercept=1

The inverse function will have x intercept additive inverse of this.

Inverse of the line's intercepts

x-intercept=-(-5)=5y intercept=1

Now

equation of line in intercept form

[tex]\\ \sf\longmapsto \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{5}+\dfrac{y}{1}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{x+5y}{5}=1[/tex]

[tex]\\ \sf\longmapsto x+5y=5[/tex]

Graph attached

The Graph of the inverse of the function is given below.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

From the given graph,

x intercept=-5

y intercept=1

The inverse function will have x intercept additive inverse of this.

The inverse of the line's intercepts

x-intercept = 1

y-intercept = -5

Now

equation of a line in intercept form

x/a + y/b = 1

x/1 +y/-5 = 1

5x - y = 5

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A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how
many tiles can the mall buy?
tiles

Answers

Answer:

421 tiles

Step-by-step explanation:

3368/8=421

Answer:

421 tiles

Step-by-step explanation:

Divide $3368 by $8 to determine the number of tiles the store can purchase:

$3368/($8 per tile) = 421 tiles

2√8 -3√50+√32 AHIHIHI

Answers

Answer:

-9.89949493661

Step-by-step explanation:

identify the types of each triangle

Answers

Answer:

Step-by-step explanation:

1. right angled (isosceles)

2. acute (equilateral or equiangular)

3. obtuse

5. acute

Answer:

Triangle number one is a right triangle. Triangle two is an equilateral triangle. Triangle three which is below triangle one is an obtuse triangle. The fourth triangle is an acute triangle.

Step-by-step explanation:

One is a right triangle because it has one right angle.

Two is an equilateral triangle because all of the three angles are 60 degrees.

Three is an obtuse triangle because one of the three angles is more than 90 degrees.

Finally, 4 is an acute triangle because all of the three angles are less than 90 degrees

Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.

Answers

Answer:

y/x = 2 or y = 2x

Step-by-step explanation:

The given triangle has:

Vertical segment = 2 unitsHorizontal segment = 1 unit

The ratio (slope) is:

2/1 = 2

For any triangle using same line the proportion is:

y/x = 2 ory = 2x

Jill has a pail of water that holds 612 quarts. She needs to give her plants 18 quart each. How many of her plants can she water?

Enter the correct answer in the box.

Answers

Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Because 612 quarts divided by 18 quarts for each plant is 34. So, it's 34 plants.

Guided Practice


Write the equation of the parabola in vertex form. The vertex is (−3, 3) and the parabola passes through the point (4, 150). Create a rough sketch of the graph to use as a visual aid.


A.
y = 3(x + 3)^2 + 3


B.
y = 4(x − 3)^2 + 3


C.
y = 50(x + 3)^2 + 4


D.
y = 3(x − 3)^2 + 3

Answers

Answer:

A.

y = 3(x + 3)^2 + 3

Step-by-step explanation:

The vertex form of the equation is y=a(x-h)2 + k  

You know that the vertex (h,k)  is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.  

First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values

150 = a(4 + 3)2 + 3  

Now simplify

150 = a (7)2 + 3  

150 = 49a + 3      Important: please be sure to square.

147 = 49a

3= a  

Next replace a into the formula now leaving x and y alone.

y = 3 (x+3)2 + 3   [Vertex form]

I hope this helps. Have a great day!

Answer:

A.  [tex]y = 3(x + 3)^2 +3[/tex]

Step-by-step explanation:

The vertex form is:

[tex]y = a(x - h)^2 + k[/tex]

Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.

So with the given values we have:

[tex]150 = a(4 + 3)^2 + 3[/tex]

Then isolate [tex]a[/tex] for find the missing value.

[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]

Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]

The question is the img. Please answer both if u can

Answers

Problem 1

x = number of weeks

y = amount left on gift card (in dollars)

He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100

The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.

Answer:  y = -4.99x + 100

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

Problem 2

The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.

We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier

y = -4.99x + 100

y = -4.99*4 + 100

y = -19.96 + 100

y = 80.04

After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.

Check out the diagram below.

The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.

What is the greatest common factor of 50, 15, and 10?

Answers

Answer:

5

Step-by-step explanation:

you would need to factor each of the number and they are all in the 5 times table

Answer:

GCF = 5

Step-by-step explanation:

Reason being that all are divisible my 5 and 10 cannot be used because it makes a fraction which is not how the GCF can be found.

Math:

50 = 5 * 10 or 25 * 2 or 50 * 1

15 = 5 *3 or 15* 1

10 = 5 * 2 or 10 * 1

Only thing that is the same is 5, thus 5 is the GCF.

Expand the function.
4
f(x)
=
(2x + 3)4

Answers

Answer:

16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Step-by-step explanation:

Use the binomial expansion theorem to find each term. ∑

∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k

Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4

Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4

Simplify each term.

= 16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

help help help help Please ​

Answers

Answer:

It rises -4 and runs 6

Step-by-step explanation:

So the slope is -4/6

Weslyes family spent $1,400 on a trip to the Grand Canyon. They spent 30% of the total on a sightseeing helicopter flight. Wesley estimates that his family spent about $450 on the flight

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

100 students are interviewed to see which of biology, chemistry or physics they prefer.
41 of the students are girls. 32 of the girls like biology best.
24 of the boys prefer physics.
6 out of the 25 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

Answer:

48% of students prefer biology

Step-by-step explanation:

Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy?
Enter a unit that best describes the number.

Number 24. unit {uh plz help with this part if u can }

Answers

Answer:

6.25 is the exact number, but you should round it to 6

Step-by-step explanation:

150/24=6.25.

It also equals 6 if you round it.

So you have to add 150 and 24 and the answer is 174

The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

800 grams = (How many?)
pounds

700 grams = (How many?)
pounds

Answers

Answer:

Here they are unrounded

800 grams = 1.7637

700 grams = 1.54324

Step-by-step explanation:

Hope this helps

Jamie and Raul both work at the Pizza House. Together, they work a total of 15 hours per week. Raul works 3 more than twice the hours as Jamie. How many hours does Jamie work per week?



Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

List the facts phrase by phrase.

Total = 15 hours

Let Raul's hours = x

Let Jamie's hours = y

Total = x + y = 15

x = 3 + 2y

From total, find x

x+ y = 15                    Subtract y from both sides.

x = 15 - y                   Put the value for x in x = 3+ 2y

3 + 2y = 15 - y           Subtract 3 from both sides

2y = 15 - 3-y            Combine

2y = 12 - y                Add y to both sides.

2y + y = 12                  Combine

3y = 12

y =  12 / 3

y = 4

Jamie worked 4 hours

Raul worked 11

What’s the answer for both questions?

Answers

Answer:

id

Step-by-step explanation:

1) Round 26.728 to the nearest integer
What

Answers

I believe it would be 27?

elena gives following sequence of transformation to show that the two figures are similar by transforming ABCD into EFGD. dialte using center D reflect using the line AE is elenas method correct

Answers

Answer:

Elena is incorrect.

Step-by-step explanation:

In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.

If I'm correct, the scale copy should be 2.

∴/therefore, if it doesn't go through point D, Elena is incorrect.

Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯

-❤AbqveNatural❤

Stacy shares 164 peppers equally between 5 of her friends. How many peppers does each friend get? How many are left over?

Answers

Answer:

each person gets 32 papers and  there are 4 left over

Step-by-step explanation:

Each friend gets 32 as 164/5
4 peppers are left over

pls make me brainliest and this is the right answer

Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £

Answers

Answer:

  £5.20

Step-by-step explanation:

The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.

  change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20

Erin gets £5.20 in change.

Factor completely:

–abc –5ac –4ab –20a

Answers

Answer:

[tex]-a(b+5)(c+4)[/tex]

Step-by-step explanation:

[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]

The factor of the given expression is -a(b+5)(c+4)

What is factorization?

Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object

Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,

-abc -5ac-4ab-20

- a(bc +5c+4b+20)

- ac(b+5)+4(b+5)

- a(b+5) (c+4)

Hence, the factor of the given expression is -a(b+5)(c+4)

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Turn into a equivalent form 6x²+13x+5

Answers

Answer:  

Assuming the questions wants another form of 6x²+13x+5:

(2x+1)(3x+5) would work.

Step-by-step explanation:

Multiply (2x+1)(3x+5) and you'll get 6x^2+13x+5

Which of these are prime numbers 5,6,9,13,18

Answers

Answer:

5 and 13

Step-by-step explanation:

Answer:

13

is the answer

Hope it help u

A plane traveling to new york has 100 seats on board. if there are p passengers on the plane, which expression represents the number of empty seats there are on the plane

Answers

Hi math freindAnswer:

Step-by-step explanation:

Could anyone help? I’ve watched the videos but they’ve confused me even more

Answers

Answer:

for a) you have to draw the graph of y = x - 1 for values from 0 to 7 so you need to make the table in the picture:(see the attached picture) now draw it using the coordinates from the table

but for b) I don't know I tried something but it didn't work.

Round the quantity to th given place value 13.989 to the nearest tenth

Answers

Answer:

13.989 rounded to nearest tenth is 14.0.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

round

What is a^2 - 5b + the square root of c if
A= -3
B= 6
C= 16

Answers

Answer:

-21

Step-by-step explanation:

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