Find the 52nd term of the arithmetic sequence —24, –7, 10, ...

Answers

Answer 1

Answer:

843

Step-by-step explanation:

[tex]a = -24\\d = t2 -t1\\d = -7-(-24)\\d = -7+24\\d = 17\\\\T_{n} = a +(n-1)d\\T_{52} = -24+(52-1)17\\T_{52} = -24+(51)17\\T_{52} = -24+867\\T_{52} = 843[/tex]

I hope i am correct

Answer 2

Answer:

843

Step-by-step explanation:

Here,

First term a = - 24

Common difference (d) = - 7 - (-24) = - 7 + 24 = 17

Nth term of an Arithmetic sequence is given as:

[tex]a_n = a + (n-1)d \\ a_{52} = - 24 + (52-1) \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 867\\ a_{52} = - 24 + 867 \\ \\ \huge \red { \boxed{ a_{52} = 843}}[/tex]


Related Questions

Pleaseeee help❤️I would appreciate itttt

Answers

Answer:

The correct option are;

i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.

ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C

Step-by-step explanation:

The parameters given are;

Domain: [tex]\{x|-4<x\leq 4, x \in R \}[/tex]

Range: [tex]\{y|-4\leq y< 4, y \in R \}[/tex]

Given that to indicate less than (<) on a graph of an inequality, we draw an circle over the point in reference while to indicate less than or equal to (≤) we draw an circle over the point in reference and shade the point, therefore we have;

Given that x > -4, and ≤ 4, the points B and C satisfies the conditions

Given that the y-coordinates are y ≥ -4, and y < 4, the points D and C satisfies the conditions

Where:

Point B = (4, 4) satisfies x only

Point C = (4, -4) satisfies x and y

Point D = (-4, -4) satisfies y only

Therefore, in order to draw a line segment between two points;

i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.

ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C.

How would you write 4n + 3 as a verbal expression

Answers

4 times a number increased by 3.

When we have a number that appears

right before a variable, it means multiplication.

So 4n means the same thing as 4 times a number.

Remember, n is a variable which is just a

letter that represents any number.

Since we are adding 3 to 4n, we can say

4 times a number increased by 3.

So 4n + 3 can be written as 4 times a number increased by 3.

The product is 4n, then the added +3.

4n + 3

4 × n + 3

So the verbal expression can be said as:

''The product of four times a number 'n' added with 3.''

what is a graph that has a limited number of data point

Answers

Answer:

Line Graph

Step-by-step explanation:

A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.

Angela is following this recipe to make biscuits.
Angela uses 1.8 l of syrup.
How much margarine is needed in kg?

Recipe: Makes 10 biscuits
150 g margarine
180 g sugar
225 ml syrup
225 g oats
40 g sultanas
Asapppp

Answers

Answer : The amount of margarine needed is 1 kg.

Step-by-step explanation :

First we have to convert volume of syrup from mL to L.

Conversion used:

1 L = 1000 mL

or, 1 mL = 0.001 L

So, 225 mL = 0.225 L

Now we have to calculate the amount of margarine needed.

As, 0.225 L of syrup needed 150 g of margarine

So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine

Amount of margarine needed = 1000 g = 1 kg     (1 kg = 1000 g)

Therefore, the amount of margarine needed is 1 kg.

In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

The probability that a student chosen randomly from the class plays basketball or baseball is 0.56. 

We are able to utilize the equation:

P(B or b) = P(B) + P(b) - P(B and b)

where

B speaks to playing ball

and b speaks about playing baseball.

From the given data, we have:

P(B) = 5/27 (the likelihood of playing ball)

P(b) = 12/27 (the likelihood of playing baseball)

P(B and b) = 2/27 (the likelihood of playing both sports)

Substituting these values into the equation, we get:

P(B or b) = P(B) + P(b) - P(B and b)

= 5/27 + 12/27 - 2/27

= 15/27

= 5/9

Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56. 

To know more about probability refer to this :

https://brainly.com/question/24756209

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Which transformation(s) can map TriangleMNQ onto TrianglePQN?

translation only
reflection only
rotation, then reflection
rotation, then translation

Answers

Answer:

Translation

Step-by-step explanation:

Answer:

D. Rotation then translation

Step-by-step explanation:

An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here is the graph: Time (years): 0, 1, 2, 3 Value (dollars): 20000, 18000, 16200, 14580

Answers

Answer:

D

Step-by-step explanation:

A is not right as we don't know the formula used so we cant say the x intercept

B is not right as the function is not liner

C The function is not liner

That leaves D!

hope this helps!

Answer:

D

Step-by-step explanation:

The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle​

Answers

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of ration is written as 58:42.

The ratio has the greatest common factor as 2.

58÷2:42÷2

29:21

The simplified ratio becomes 29:21.

Grace wants to attend University of Oklahoma. One year at University of Oklahoma costs approximately $20,000. She currently has $4,000 in savings. Grace has received a one-time grant of $1,000 and an annual academic scholarship for $4,000. She plans to enroll in the work study program that will pay $9,000 annually for part-time work. How much will Grace need to borrow in student loans in order to attend University of Oklahoma for 4 years?

Answers

Answer:

Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.

Step-by-step explanation:

Cost for one year at University of Oklahoma = $20,000

Cost for 4 years = 4 × $20,000 = $80,000

Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000

Amount she needs to borrow = $80,000 - $57,000 = $23,000

Please answer quickly! A. There are no errors. All of the expressions are equivalent. B. Expression 1. Sarah can’t apply the Distributive Property if there are three addends. C. Expression 2. Sarah can’t combine -4 and -6. She must combine -4 with 8. D. Expression 3. Sarah applied the Distributive Property but incorrectly multiplied [tex]\frac{1}{2}[/tex] (-6).

Answers

Answer:

Option D

Step-by-step explanation:

All the other expressions are correct but in Expression 3 , Sarah incorrectly multiplied 1/2(-6) while destroyed whole of her answer. She forgot to make 3 negative.

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
need. The garden is in the shape of a rectangle with vertices at (3,9) (5, 9) (3, 3) (5,3). Find the total length of border
needed.

Answers

Answer:

16ft

Step-by-step explanation:

Each side is 2 units long, 2^4 or 2x2x2x2 is 16.

What is the constant of variation if y varies inversely as x and y = 3 when x = 6? PLZ HELP ME I DONT UNDERSTAND

Answers

Answer:

The constant of proportionality (k) is 24

Step-by-step explanation:

if y varies inversely as x

y = k × 1/x

and y = k/x

if y = 4 and x = 6

That means 4 = k/6

and k = 4 × 6

k = 24

which of the following is the solution 4|x+3|≥8

Answers

Answer: x≥-1 or x≤-5

Step-by-step explanation:

First, divide both sides by 4 to get rid of the 4:

4|x+3|≥8

|x+3|≥2

Next, we know that for |a|≥b, a≥b or a≤-b. Therefore:

|x+3|≥2

x+3≥2     or      x+3≤-2

x≥-1                  x≤-5

HELP ITS ABOUT TRIANGLESSSS. Image is attached Explanation neede plzzz

Answers

Answer:

D.

Step-by-step explanation:

So angle 2 = 180 - angle 1

Angle 1 = angle 3 + angle 4.

Angle 2 = 180 - angle 3 - angle 4

So, you can come to the conclusion that (angle 1 + angle 2) = 180°

and (angle 3 + angle 4 + angle 2) = 180°

help please
2 decks of cards 1st deck has red(R) and black (B)
2nd deck has hearts(H) clubs(C) diamonds(D) and spades(S) how many different combinations are there

Answers

Answer:A) (1 x 4) + (1 x 4) = 8

There are 8 possible combinations

B) BC:RD:RS:BH:BS:RH:BD:RC

Step-by-step explanation:

Hope it helps. Step by step in on the top. :)

Can somebody help me with this ?? :)

Answers

Answer:

B.

Step-by-step explanation:

ABC ≅ XYZ

∠A≅∠X

∠B≅∠Y

∠C≅∠Z

Also, should be

AB =XY

BC=YZ

CA=ZX

By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.

Answer B.

The correct answer is b

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2. Which exponential function is represented by the table?

Answers

Answer:

D.

Step-by-step explanation:

The exponential function is represented by the table is,

f(x)=0.8(2^x).

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The first column is labeled x with entries negative 2, negative 1, 0, 1, 2.

The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2.

The exponential function is represented by the table is,

f(x)=0.8(2^x).

To learn more on function click:

brainly.com/question/21145944

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what is the ph of a 6.2 x 10-6 M KOH

Answers

Answer:

10

Step-by-step explanation:

i have no flipping i think im wrong

Points C, D, and G lie on plane X. Points E and Flie on
plane Y
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
X
B
There is exactly one plane that contains points E, F,
and B.
A
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and
E

Answers

Answer:2nd, 3rd and 4th

Step-by-step explanation:

The wheels of a car are of radius 40cm each, if the car is travelling at a speed of 66km/h, find the number of revolutions made by each wheel in 20 minutes​

Answers

Answer: Each wheel makes 437.5 revolutions in 20 mins

Step-by-step explanation:

Circumference = 2πr

Given that the radius is 40 cm

Circumference = 2π(40) = 80π cm

Find the distance traveled in 20 mins

Speed = 66 km/h

1 hour = 66 km

Rewrite hour into min

60 min = 66 km

1 min = 66 ÷ 60 = 1.1 km

Rewrite km in cm

1.1 km = 1.1 x 10,000 cm = 110,000 cm

Find the number of revolutions in 20 mins:

1 revolution = 80π cm

Number of revolution = 110,000 ÷ 80π = 437.5

plzzzzz help x_4x+4 = 0​

Answers

Answer:

x = -1

Step-by-step explanation:

4x + 4 = 0

Subtract 4 on both sides.

4x = 0 - 4

4x = -4

Divide both sides by 4.

x = -4/4

x = -1

Answer:

So the value of x is -1

Step-by-step explanation:

4x+4=0

Subtracting 4 on both sides

4x+4-4=0-4

4x=-4

Dividing 4 on both sides

x=-4/4

x=-1

Could someone help me and explain?

Answers

Answer:

length 3 inwidth 2 in

Step-by-step explanation:

Since none of the answer choices match the drawing of the gardener, we assume the question is referring to the drawing of the partner.

The gardener's drawing is 1/4 of actual size. So, in terms of the gardener's drawing, actual size is ...

  gardener's drawing = (1/4)actual size

  actual size = 4(gardener's drawing)

__

The partner's drawing is 1/20 of actual size, so is ...

  partner's drawing = actual size/20 = (4(gardener's drawing))/20

  partner's drawing = (4/20)(gardener's drawing)

  partner's drawing = (gardener's drawing)/5

__

Then the {length, width} of the partner's drawing are ...

  partner's drawing {length, width} = {15 in, 10 in}/5 = {3 in, 2 in}

The partner's drawing has a length of 3 inches and a width of 2 inches.

If 8 km = 5 miles, convert 720 km into miles.

Answers

Answer:

450 miles

Step-by-step explanation:

5 miles = 450 miles

8 km = 720 km

Answer:

450 mi

Step-by-step explanation:

8km=5mi

720km/8km=90

8km (90)=5mi(90)

5mi(90)

yooo please help asap!!! marking brainiest!!!

Answers

Answer:

[tex] - x {}^{2} - 10 = 34[/tex]

Simple problem

1=95
2=?
3=?
4=?

Answers

Answer:

2)85

3)95

4)85

Step-by-step explanation:

all of the insides has to equal 360

Please help meeeeeeeeeeeeeeee

Answers

Answer:

1) B

2) D

3) A

4) B

Step-by-step explanation:

We use a closed/filled in dot in math to represent an inequality where we have ≤ or ≥ and an open dot when its < or >. This is to represent that from the inequality we are also including the = component of the inequality.

After you know this, its pretty simple to work out which way the numbers go on the number line when its greater or less than depending on the question

pls Answer my question.

answer it I will make brain list

please answer quickly.​

Answers

Answer:

sinP = 7/25

cosQ = 7/25

tanP = 7/24

cotQ = 7/24

secP = 25/7

cscQ = 25/24

Step-by-step explanation:

sin∅ is opposite over hypotenuse

cos∅ is adjacent over hypotenuse

tan∅ is opposite over adjacent or sin∅/cos∅

csc∅ is hypotenuse over opposite or 1/sin∅

sec∅ is hypotenuse over adjacent or 1/cos∅

cot∅ is adjacent over opposite or cos∅/sin∅

Since triangle RQP is a right triangle, we can use trig and Pythagorean Theorem: a² + b² = c²

The missing side length RQ after we use Pythagorean Theorem would be 7.

From there, we can find the trigonometric values.

Answer:

Step-by-step explanation:

which graph shows the solutions to the inequality ?

Answers

Answer:

the last option is the correct answer

Step-by-step explanation:

the symbol ≥ means greater or equal to. so the direction of line must be heading to the right and must start at -1.

A triangle has sides of length 2, k and 9. What are the
possible values of k?

A) k>9
B) 7 C) k<2
D) 7 ≤ k ≤ 11

Answers

Answer:

I think A

Step-by-step explanation:

I'm not really sure but I think it's A assuming the triangle is not an equilateral

12:13:14 = 48:x:56
What is x?

Answers

Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52

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