13,22,31,...
Find the 31st term.
Find the 31st term.

Answers

Answer 1

Answer:

The 31st term is 283

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

[tex]an = a1 + (n - 1)d[/tex]

a31 = 13 + ( 31-1 ) 9

a31 = 13 + 270

a31 = 283


Related Questions

Sammy and her family are on a trip. So far, they have traveled 225 miles and are 25% of the way to their destination. How many total miles will they travel?

Answers

Answer: 900 miles total

Explanation: 25% is only 1/4 of the way, so in order to get to 100% you multiply it by 4. 225•4= 900
So 900 miles is your answer

a
Joshua is flying a kite, holding his hands a distance of 3.75 feet above the
ground and letting all the kite's string play out. He measures the angle of
elevation from his hand to the kite to be 28°. If the string from the kite to his
hand is 140 feet long, how many feet is the kite above the ground? Round
your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

Assuming the ground is level

h = 3.75 + 140sin28

h = 69.47601...

h = 69.48 ft.

The height of the kite above the ground is 69.48 ft

Right angle triangle:A right angle triangle is a triangle that has one of its angle as 90 degrees. Therefore,

Using trigonometric ratio, the opposite side of the triangle formed can be calculated as follows:

sin 28° = opposite / hypotenuse

sin 28° = x / 140

x = 140 sin 28

x = 140 × 0.46947156278

x = 65.72601879

x = 65.73

The height of the kite from the ground = 65.73 + 3.75 = 69.48 feet

learn more on right triangle here: https://brainly.com/question/25892318

Can anyone help me with this!

Answers

Answer:

I think 14 if not 10

Step-by-step explanation:

<%) pizza

Use the numbers from the item bank down below to write the value of each expression

Answers

1. Value=206

2. Value=205

3. Value= 208

4. Value=207


Need help please asap

Answers

Answer:

A=√26

-

2

Step-by-step explanation:

thank me later bye

Find the quotient.
32 ÷ 0.08

Answers

Answer:

The quotient of the equation is 400

Answer:

hi

Step-by-step explanation:

the correct answer is 400

What is a 15% tip on a meal that costs $38.40?

Answers

so first u need to find 15% of $38.40 so that will be $5.76 (0.15x38.40) !

Answer:

its $5.76

Step-by-step explanation:

because $38.40 / 15 is $5.76

Please help me as soon as possible.

Answers

[tex]\begin{array}{llll} x~-2y=-13\\ 5x+2y=-17\\ \cline{1-1} 6x+0y=-30 \end{array}\qquad \implies 6x=-30\implies x=\cfrac{-30}{6}\implies x=-5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{(-5)-2y=-13\implies }-2y=-8\implies y = \cfrac{-8}{-2}\implies y = 4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-5~~,~~4)~\hfill[/tex]

A gumball machine has 240 red gumballs. If the red gumballs are 50% of the total number of gumballs, how many gumballs are in the gumball machine?

Answers

Answer:

480 because 50% is just haf and half has to be equal to the 240 so you just add 240 to 240

Step-by-step explanation:

480
This is because 50% is half of the total. So to find the total, multiply 240 by 2.

simplest form of 45/120

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 120 is 15

Divide both the numerator and denominator by the GCD

45 ÷ 15

120 ÷ 15

Reduced fraction:

3

8

Therefore, 45/120 simplified to lowest terms is 3/8.

The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.


Consider a group of 800 newborn babies:


1. How many would you expect to weigh between 3 and 8 pounds?


2. How many would you expect to weigh less than 6 pounds?


3. How many would you expect to weigh more than 5 pounds?


4. How many would you expect to weigh between 5.5 and 9 pounds?

Please help and STEP BY STEP PLZ.

Answers

Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule

X = 5.5 + 1.6 Z

or

Z = (X - 5.5)/1.6

then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.

1.

Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]

… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]

… ≈ 0.8818

Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.

2.

Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]

… = Pr[Z ≤ 0.3125]

… ≈ 0.6227

Out of 800 babies, around 498 will weigh less than 6 pounds.

3.

Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]

… = Pr[Z > -0.3125]

… ≈ 0.6227

same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.

4.

Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]

… = Pr[0 ≤ Z ≤ 2.1875]

… ≈ 0.4857

Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.

What is the value of x?​

Answers

again, we're assuming that both triangles are similar, and thus using proportions.

[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

c. What is located at the reflection of (3,1) across
the y-axis? What are the coordinates of this
location?

Answers

Check the picture below.

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Finding the X-intercept.

1.) Solve for x by substituting 0 in for y.

4x+(0)=5

4x/4+5/4

x=1.25 or 1 and 1/4.

You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?

Answers

Answer: Who the actual fudge gardens anymore????? like what are you an old lady? ur name edna? ethel? doreen? geez louise u are old.

Step-by-step explanation:

Emily borrows £580 from a bank at an interest rate of 896 per year.
She will give the money back after 4 years.
How much money will Emily have to pay back?

Answers

Answer: £4,164

Step-by-step explanation: multiply 896 by 4 to get £3,584 next add 580 to 3,584 to get £4,164

Answer: 4,164

Step-by-step explanation: I am confused if the 896 is a percent or the money she owes every year, now here is the explanation.

Emily took the £580 and after the 4 years she owes 896*4 = £3,584 plus the original £580 which is £4,164

If it it without the original £580 then the answer is 896*4 = £3,584

If that is not correct then i am sorry

Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair

Answers

Answer:

$85 per chair

Step-by-step explanation:

add the discount (55) to the total amount paid (455).

you should get 510

after this, divide 510 by 6 (because 6 chairs), and you should find that each chair costs $85


PLS HELP ITS A MAJOR GRADE AND ITS MY LAST QUESTION I JUST CANT SOLVE IT
THE BEST ANSWER WILL GET BRAINLIEST

The perimeter of the classroom shown is 6x + 3. Find the length of the missing side

x
(6x + 3) + (3x +1) + x + x
6x + 3x + x + x +3 + 1
11x + 4
3x+1
The length of the missing side is 11x + 4.
Pls show
Correct Work/ Solution
Identify and explain the error
Share a Strategy

Answers

Answer:

Missing side = x+2

Step-by-step explanation:

The perimeter of the classroom, 6x+3, is equal to the 4 side lengths added up.

In their first line of work, the first plus sign should be an equal sign as follows:

6x+3 = 3x+1+x+x+?

simplify

6x+3 = 5x+1+?

subtract (5x+1) from both sides

x+2 = ?

There's the length of the missing side.

The x-value of the vertex of f(x) = x2 - 10x + 3 is

Answers

Answer:

x- coordinate = 5

Step-by-step explanation:

Given a parabola in standard form , f(x) = ax² + bx + c ( a ≠ 0 ) , then

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 10x + 3 ← is in standard form

with a = 1 , b = - 10 , then x- coordinate of vertex is

x = - [tex]\frac{-10}{2}[/tex] = 5

Tara wants to put a white fence aroung the yard including the garden. Write an
expression for the perimeter of her yard (including the garden).
Then simply the expression.

Answers

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

 

The amount of fencing needed is 2(6) + 2(12) = 12 + 24 = 36 ft of fencing

Which statement is true about the value of 1-5/?
O It is the distance that -5 is from 0 on the number line.
O It is the distance that -5 is from 5 on the number line.
O It is less than 5.
0 It is greater than 5.

Answers

Answer:

O It is less than 5.

Step-by-Step

OK so, first u check if it has a negative. It does, so its at the left of 0. SO you know its less than.

Solve the equation for d. 0.2(d-6)=0.3d+5-3+0.1d

Answers

Answer:

Step-by-step explanation:

0.2(d - 6) = 0.3d + 5 - 3 + 0.1d

0.2d - 1.2 = 0.4d + 2

     - 0.2d = 3.2

           d = - 16

Answer:

d = -16

Step-by-step explanation:

[tex]0.2(d-6)=0.3d+5-3+0.1d\\\rule{150}{0.5}\\0.2d - 1.2 = 0.3d+5-3+0.1d\\\\0.2d - 1.2 = 0.3d+0.1d+ 5-3\\\\0.2d - 1.2=0.4d + 2\\\\0.2d- 0.2d - 1.2 = 0.4d -0.2d + 2\\\\-1.2 = 0.2d + 2\\\\-1.2 -2 = 0.2d + 2 - 2\\\\-3.2 = 0.2d\\\\\frac{-3.2 = 0.2d}{0.2}\\\\-16 = d\\\\\boxed{d = -16}[/tex]

I need the answer for this ASAP

Answers

Answer:

Y is cookies x is cupcakes

for the first birthday party: 20x + 40y = 61

For the second party 30x + 30y = 64.50

There aren't any other constraints

20x + 40y = 61

30x + 30y = 64.50

Step-by-step explanation:

HELP PLEASE 20 POINTS

Answers

Answer:

a b and j?

Step-by-step explanation:

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3

Answers

Problem 1

Answer: Choice A

[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]

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

Explanation:

The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.

a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to year

The 1.08 represents an increase of 8% because,

1.08 = 1 + 0.08 = 100% + 8% = 108%

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

Problem 2

Answer: Choice C

[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]

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

Explanation:

The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.

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

Problem 3

Answer: Choice C

30 feet; major axis

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

Explanation:

Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.

Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.

A store owner has a total of 87.95 lbs of
flour. If she puts the same amount of flour in
7 jars, how many pounds of flour will each
jar contain?

Answers

Answer:

12.56

Step-by-step explanation:

87.95 divided by 7

Step-by-step explanation:

Total amount of flour = 87.95lbs

Amount of flour in each jar = 87.95 ÷ 7 = 12.56

What is the product?
(38b* )-822

Answers

Answer:

[tex]\boxed{\sf D)\:-24a^3b^7}[/tex]

Step-by-step explanation:

[tex]\sf (3a^2b^4)(-8ab^3)[/tex]

We'll use rule of exponents to simplify expression.

[tex]\sf 3^1a^2b^4(-8)^1a^1b^3[/tex]

Now, use the commutative property of multiplication.

[tex]\sf 3^1(-8)^1a^2a^2b^4b^4[/tex]

In order to multiply power of the same base, we add their exponents.

[tex]\sf 3^2(-8)^1a^{2+1}b^{4+3}[/tex]

→ Add exponents:

[tex]\sf 3^1(-8)^1a^3b^7[/tex]

→ Multiply 3* -8

[tex]\sf -24a^3b^7[/tex]

__________________________________________

What is the equation of the line: * parallel to the line y = -¼x + 5 and * passing through the point (2, -1)
y = -¼x - 1/2
y = ¼x + 2
y = -¼x + 4
y = ¼x - 1

Answers

Answer:

last one

Step-by-step explanation:

Is 111111 divisible by 37?

Answers

Answer:

Yes

Step-by-step explanation:

3003 woooow

Answer:

yes

Step-by-step explanation:

A is divisible by  B, if after dividing them, A ÷ B, the remainder is zero.

On the 1st January 2014 Carol invested some money in a bank account.
The account pays 2.5% compound interest per year.
On 1st January 2015 Carol withdrew £1000 from the account.
On 1st January 2016 she had £23517.60 in the account.
Work out how much Carol originally invested in the account.

Answers

Answer:

didn't know how to workout iam only 3rd standard

Answer:

Step-by-step explanation:

bubble gum

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