Write an equation for the nth term of the arithmetic sequence -4, 1, 6, 11, ... then find a50.

An equation is an=__n-__

a50=__

Answers

Answer 1

Answer:

241

Step-by-step explanation:

a(n) = a +(n-1)d

a=-4

d=1+5=6-1=11-6=5

   a(n) = -4+(n-1)5

   a(n) = -9+5n

   a(55) = -9+5(50)

            =241

hope this helps

   


Related Questions

Homework Task 3: Item C
< Back to task
Bookwork code: K90
Calculator
not allowed
Give your answer as an integer or as a fraction in its simplest form.
o
-6-5
-3-2
~ 34
6
5-
4-
27
-4
W
2345
Watch video
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120 XP
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Carley
Answer

Answers

Answer:

Step-by-step explanation:

-4w

nkjiug  kglkr fho'f v

What two numbers are missing from this factor tree for the prime factorization of 252

Answers

Answer:

the prime factorization of 252 is. 252 = 2 × 2 × 3 × 3 × 7 = 22 × 32 × 7.

The 2 missing numbers are not given, so I'm unsure about the 2 missing numbers.

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Definitions

Prime number: A whole number greater than 1 that cannot be made by multiplying other whole numbers.

Prime Factorization: Prime numbers that multiply together to make the original number.

The first few prime numbers are:  2, 3, 5, 7, 11, 13, 17, ...

To find which prime numbers multiply together to make 252, begin by dividing 252 by the first prime number, 2:

⇒ 252 ÷ 2 = 126

As 126 is not a prime number, we need to divide again.  

⇒ 126 ÷ 2 = 63

As 63 is not a prime number, and 63 is not divisible by 2, try dividing it by the next prime number, 3:

⇒ 63 ÷ 3 = 21

As 63 is not a prime number, divide again.  

⇒ 21 ÷ 3 = 7

As 7 is a prime number, we can stop.

Therefore, 252 is the product of:

⇒ 252 = 2 × 2 × 3 × 3 × 7

As 2 and 3 appear twice, we can write these using exponents:

⇒ 252 = 2² × 3² × 7

Order the values from least to greatest.88, 8 tens, 8*1/100

Answers

The order of the values from least to greatest is 8*1/ 100, 8 tens, 88

How to determine the order

To determine the order of the values from least to greatest is to outline or arrange the value on the basis of the sizes or according to their magnitude

Given the values as;

888 tens8/ 100

Note that 8 ten is simply written as

=  8 × 10 = 80

= 8/ 100 = 0. 8

= 88

From the number system, the values can be arranged as;

0. 8, 80 , 88

Thus, the order of the values from least to greatest is 8*1/ 100, 8 tens, 88

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Can somebody help me find this missing angle please.

Answers

Answer:

x = 96 degrees

Step-by-step explanation:

49 + 35 + x = 180

84 + x = 180

x = 180 - 84

x = 96 degrees

please help this is my last attempt

Answers

Answer:

see explanation

Step-by-step explanation:

525 divided by 1500 may be expressed in the following ways

525 ÷ 1500

[tex]\frac{525}{1500}[/tex]

     

1500  | |525

   

     

Answer:

See attached image

Step-by-step explanation:

I could not figure out how to do the long division symbol on the keyboard so I highlighted the answers in the attached.

Help me pleaseeeee!!!!!!!

Answers

Answer:

domain ( - ∞, ∞ )

Step-by-step explanation:

there is no endpoint at either end of the line and it continues forever in both directions, then

domain is ( - ∞, ∞ )

Answer:

(-infinity, +infinity)

Step-by-step explanation:

(-infinity,+infinity) because at quadrant III, the line is extending forever into negative infinity, and in quadrant IV, the line is extending forever into positive infinity

if you are riding on a ferris wheel that is 60 feet tall and it takes you 5 minutes

Answers

Answer:

0.62 feet per second

Step-by-step explanation:

which pair of numbers have a greatest common factor of 3? select each correct answer. 3 and 9 3 and 9 18 and 15 18 and 15 15 and 20 15 and 20 6 and 9

Answers

The pair of numbers that have the greatest common factor of 3 are:

6 and 9

18 and 15

3 and 9

What is greatest common factor?

The biggest number, which is the variable of at least two number is known as the Best Normal Element (GCF). It is the biggest number (factor) that partition them bringing about a Characteristic number. When every one of the elements of the number are found, there are not many variables which are normal in both.

The factors of 6 and 9 are:

6 ⇒ 1, 2, 3 and 6

9 ⇒ 1, 3, 9

The greatest common factor here is therefore 3.

The factors of 18 and 15 are:

18 ⇒ 1, 2, 3, 6, 9 and 18

15 ⇒ 1, 3, 5, and 15

Greatest common factor is also 3

The factors of 3 and 9 are:

3 ⇒ 1 and 3

9 ⇒ 1, 3, 9

Greatest common factor here is also 3.

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Sandra's bicycle is old and rusty. Her parents won't buy her a new one unless she does more chores around the house. Sandra's dad said he will buy a new bicycle if Sandra mows the lawn, rakes the leaves, and washes the windows every weekend for 16 weeks in a row. Sandra is very motivated and does her chores for 3 weeks straight.
Which equation can Sandra use to find how many more weeks w she needs to do her chores before her parents will buy her a new bicycle?

Answers

Answer:W=16-3

Step-by-step explanation:

W is how many more weeks she has to work
she needs to work a total of 16 weeks and she has worked for 3 so far to find the total number of weeks she still needs to work she would take 16-3=13 13=W

Answer: w=16-3 $&$$&$$&$$

You find a job that pays $14.25/hr working 25 hours per
week. How much will you make in 4 weeks?

Answers

1,425 dollars every 4 weeks

Answer:

$1425

Step-by-step explanation:

To find how much money you would make, we would first have to multiply the number of weeks worked by how many hours you work per week.

4 · 25 = 100

What this tells us is that in 4 weeks, you worked 100 hours in total. Now we can multiply total hours worked by how much you are paid per hour to get our answer.

14.25 · 100 = 1425

A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.

Answers

Based on the calculations, the perimeter of this regular polygon is equal to 7.5 units.

What is a polygon?

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

TriangleQuadrilateralPentagonHexagonHeptagonOctagonNonagon

How to determine the perimeter of this regular polygon?

Since this polygon is a regular polygon with each of its sides being equal, we have:

3(x - 1) = 5x - 6

3x - 3 = 5x - 6

5x - 3x = 6 - 3

2x = 3

x = 3/2

x = 1.5.

The measure of each of its sides is given by:

3x - 3 = 5x - 6

3(1.5) - 3 = 5(1.5) - 6

4.5 - 3 = 7.5 - 6

1.5 = 1.5

Each side, a = 1.5 units.

Now, we can determine the perimeter of this regular polygon:

Perimeter of pentagon = 5a

Perimeter of pentagon = 5 × 1.5

Perimeter of pentagon = 7.5 units.

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A tv show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. determine the average number of viewers over the two weeks and write the final answer in scientific notation.

Answers

The computation shows that the average number of viewers over the two weeks will be 3.85 × 10⁴.

How to compute the value?

From the information given, the tv show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= (3.6 × 10⁴ + 4.1 × 10⁴)/2

= 7.7 × 10⁴/2

= 3.85 × 10⁴

Therefore, the average is 3.85 × 10⁴

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a match box has length x cm, width x +1 cm and height 3 cm. express its surface area as a function of x

Answers

Answer:

2x² + 14x + 6

Step-by-step explanation:

A match box is in the shape of a right rectangular prism so we can use the formula for the surface area of such a solid

A=2(wl+hl+hw)

where l = length, w=width and h = height

Substituting l = x, w = x+1 and height = 3 we get

wl = x(x + 1) = x² + x

hl = 3x

hw = 3(x + 1) = 3x + 3

So A = 2( x² + x + 3x + 3x + 3)

A = 2(x² + 7x + 3)

A = 2x² + 14x + 6

Emmett made sand art bottles to sell at his school's craft fair. He wanted to use 9 different colors of sand. So, he bought 1 pound of each color. Then, he filled as many 6-ounce bottles as he could. How many sand art bottles did Emmett make?

Answers

The number of bottles will be 24 bottles.

How to calculate the value?

It should be noted that 1 pound = 16 ounces.

Since he bought 1 pound of each color, the total pounds will be:

= 1 × 9 = 9 pounds.

The number of sand art will be:

= 9 pounds / 6 ounce

= (9 × 16) / 6

= 24 bottles

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I need help. Please

Answers

It’s the second and last one 3^0/3^2 and 3(3)^-4

HELP ASAP!!!

Solve for m in the following equation.

4m/3= 8
m= 10
m= 6
m= 2
m= 96


You buy three more than twice as many pounds of apples as bananas. If you bought seven pounds of apples, how many pounds of bananas did you buy?

What is the correct equation and solution for this problem?

3p – 2 = 7; p = 3 pounds
2p – 3 = 7; p = 5 pounds
3p + 2 = 7; p = 3 pounds
2p + 3 = 7; p = 2 pounds

Thank you!!

Answers

The value of the unknown variable, m in the equation 4m / 3 = 8 is 6. option B

How to solve for unknown in an equation?

4m / 3 = 8

cross product

4m = 8 × 3

4m = 24

divide both sides by 4

m = 24/4

m = 6

let

pounds of apple = apounds of bananas = b

three more than twice as many pounds of apples as bananas.

a = 2b + 3

If you bought seven pounds of apples, how many pounds of bananas did you buy?

b = 7 pounds

a = 2b + 3

7 = 2b + 3

7 - 3 = 2b

4 = 2b

b = 4/2

b = 2 pounds

So therefore, the correct equation and solution for this problem is 2p + 3 = 7; p = 2 pounds. option D

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Need help with this question ASAP please and youu??

Answers

Answer: (8, 8)

Step-by-step explanation:

y>x-7, y<=2x-8

1: 5>12-7

5>5 ==> Not true

2: 3>12-7

3>5 ==> Not true

3: -10>-6-7

-10>-13

-10<=2(-6)-8

-10<=-12-8

-10<=-20 ==> Not true

4: 8>8-7

8>1 ==> True

8<=2(8)-8

8<=16-8

8<=8 ==> True ==> (8, 8)

Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power?

Answers

The equivalent expression is 5^(4) * 3^(-10)

What is an equivalent expression?

Equivalent expressions are expressions having the same solution but different arrangement

Two expressions are said to be equivalent if they have the same value of solution irrespective of the variable(s) in them.

Now, let's represent the expression;

( 5^-2 × 3^5 )^-2

We simply by multiply the exponential value by the
5^-2(-2) × 3^5(-2)

5^4 × 3^- 10

Hence, the equivalent expression is 5^(4) * 3^(-10)

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An artist is selling children's crafts necklaces cost 2.25 each, and brackets cost 1.50 per each select all the combinations of necklaces and braclets that the artist could sell for exactly 12.00​

Answers

Answer: 4 necklaces 2 bracelets. 8 bracelets. 2 necklaces 5 bracelets

Step-by-step explanation:

.
Which of the following shows a graph of the equation above?

Answers

Can you provide more information?

Evaluate the expression when x = 5:

10|7−x|

A. -120

B. -20

C. 20

D. 120

Answers

Answer:

C. 20

Step-by-step explanation:

10|7−x| here we are asked to find the absolute value.

x is given as 5 so if we just rewrite the expression:

10|7-5| = 20 because absolute value cannot be negative.

Which is an example of the associative property?


–5 + 7 = 7 + (–5)


–(18 + 3) = –18 + (–3)


(–8 + 10) + 4 = –8 + (10 + 4)


–17 + 0 = –17

Answers

–5 + 7 = 7 + (–5)  is an example of the associative property. Option A

This is further explained below.

What is associative property?

Generally, The associative property is a rule in mathematics that states that the product of a multiplication problem does not depend on the method in which the elements that are being multiplied do not vary.

In conclusion, Even if the numbers on each side of the equal sign are written in the opposite direction, adding -5 to 7 still results in the same answer: 7 plus (-5).

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Bob's Gift Shop sold 300 cards for Mother's Day. One salesman, Kaj, sold 4% of the
cards sold for Mother's Day. How many cards did Kaj sell?
Divide/scale down to solve for the missing percent.
cards
4
percent
300
100

Answers

Answer:12

Step-by-step explanation: 300 times 0.04 (4%) is 12

A restaurant manger surveyed a random sample of costumers to determine which drink they prefer. Fourteen chose tea and 36 chose soda. Based on the results ,how many of the 275 customers can be expected to prefer soda?

Answers

198 of the 275 customers can be expected to prefer soda

A restaurant manger surveyed a random sample of costumers to determine which drink they prefer. Fourteen chose tea and 36 chose soda.

Based on the results , we have to find how many of the 275 customers can be expected to prefer soda?

total customers x = 275

customers chose soda y= 36

customers chose tea z= 14

therefore out of 275 customer who prefer soda = (x * y)/(y+z)

Based on the given conditions, formulate: [tex]: \frac{275 * 36}{14+36} \\\\[/tex]

Calculate the product or quotient:[tex]\frac{9900}{14+36}[/tex]

Calculate the sum or difference:[tex]\frac{9900}{50}[/tex]

Cross out the common factor: [tex]198[/tex]

Hence ,198 of the 275 customers can be expected to prefer soda

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HELP PLS FAST ITS EZZ ALEBRA

Answers

The domain is D: 0  ≤ f ≤ 8The range is R: 0 ≤ c ≤ 192

And the correct graph is the one in option b.

What is the correct graph of the function?

We know that you have 8 cups of flour, and it takes one cup of flour to make 24 cookies.

Then the linear function:

c(f) = 24*f

Relates the number of cookies that we can make using f cups of flour.

Then the possible domain of this function (the possible values of f) is given by:

0  ≤ f ≤ 8

The maximum number of cookies that can be made is:

24*8 = 192

And the range is:

0 ≤ c ≤ 192

With that in mind, we can see that the correct graph is the one in option b.

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how to write and solve; two times the quantity of 7x plus 5 equals -32?

Answers

Answer: x = -3

Step-by-step explanation:

     First, we will write an equation.

two times ➜ 2 *

7x plus 5 7x + 5

equals -32 ➜ -32

       2(7x+5) = -32

     Next, we will solve by isolating the x variable.

2(7x+5) = -32

14x + 10 = -32

14x = -42

x = -3

Please Help:

Here are the statistics for the high temperatures in a city during October:

mean of 65.3 degrees Fahrenheit
median of 63.5 degrees Fahrenheit
standard deviation of 9.3 degrees Fahrenheit
IQR of 7.1 degrees Fahrenheit
Recall that the temperature C, measured in degrees Celsius, is related to the temperature F, measured in degrees Fahrenheit, by C=5/9(F−32).

a. Describe how the value of each statistic changes when 32 is subtracted from the temperature in degrees Fahrenheit.

b. Describe how the value of each statistic further changes when the new values are multiplied by 5/9.

c. Describe how to find the value of each statistic when the temperature is measured in degrees Celsius.

Answers

Answer:

a. Describe how the value of each statistic changes when 32 is subtracted from the temperature in degrees Fahrenheit.

a) The mean will change and other quantities remain same.

b) The mean, standard deviation and IQR change.

c) The standard deviation and IQR change.

a. When 32 is subtracted from the temperature in degrees Fahrenheit:

The mean would change by subtracting 32 from the original mean of 65.3.The median would remain the same since subtracting a constant value does not affect the relative order of the data points.The standard deviation would remain the same since it is a measure of dispersion and does not depend on the shift of the data.The IQR would remain the same since it is based on the order statistics (including the median) and is not affected by a constant shift.

b. When the new values (obtained after subtracting 32) are multiplied by 5/9:

The mean would change by multiplying the new mean by 5/9.The median would remain the same since scaling by a constant value does not affect the relative order of the data points.The standard deviation would change by multiplying the new standard deviation by 5/9 since it is a measure of dispersion and scales with the data.The IQR would change by multiplying the new IQR by 5/9 since it is based on the order statistics and scales with the data.

c. To find the value of each statistic when the temperature is measured in degrees Celsius:

The mean and median would remain the same since the Celsius scale and Fahrenheit scale have a linear relationship, and shifting or scaling the data does not affect their relative values.The standard deviation would change by multiplying the new standard deviation by 5/9 since it scales with the data.The IQR would change by multiplying the new IQR by 5/9 since it scales with the data.

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A grocery store sells a bag for six oranges for 2.34 is mav spent 1.95 on oranges how many did she buy

Answers

Answer:

Mav bought 5 oranges.

Step-by-step explanation:

$2.34 ÷ 6 oranges = $0.39 ( Price per orange)

$0.39 x 5 oranges = $1.95

Solve 5kx + 6 = 7 kx for x.

Answers

Subtract 6 on both sides

5kx + 6 - 6 = 7kx - 6
5kx = 7kx - 6

Then subtract 7kx on both sides
5kx - 7kx = 7kx - 6 - 7kx
-2kx = -6

Now divide by -2k on both sides
-2kx/-2k = -6/-2k
x = -6/-2k
Simplify
x = 3/k

what is the equation of the line that passes through the points (-8,1) and (7,1)​

Answers

Answer:

y = 1

Step-by-step explanation:

the equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

the line passes through (- 8, 1 ) and (7, 1 )

both with y- coordinates of 1 , then

y = 1 ← is the equation of the line

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