Consider the sequence whose first five terms are shown. -59 ,-67 ,-65 ,-53 ,-31 ,... The first term is ____ To calculate the second term, add _____ To calculate each additional term, increase the amount added by _____ (the _____ are blanks)

Answers

Answer 1

Step-by-step explanation:

The sequence is as follows :

-59 ,-67 ,-65 ,-53 ,-31 ,...

The first term = -59

The second term = -67

Common difference = second term - first term

[tex]=-67-(-59)\\\\=-8[/tex]

To calculate the second term add (-8).

To calculate each additional term, increase the amount added by -8.


Related Questions

Identify The domain of the rational function, g(x)= 1/x+3
A (-∞, ∞)
B (-∞, 3)U(3, ∞)
C (-∞, -3]U[-3, ∞)
D (-∞, -3)U(-3, ∞)

Answers

Answer:

The domain is (-∞ , -3) ∪ (-3, ∞) D

Step-by-step explanation:

The domain of the rational fraction is the values of x which make the fraction defined. That means the domain does not contain the values of x which make the denominator equal to 0.

∵ g(x) = [tex]\frac{1}{x+3}[/tex]

The denominator = x + 3

→ Equate the denominator by 0

∵ x + 3 = 0

→ Subtract 3 from both sides

∴ x + 3 - 3 = 0 - 3

x = -3

→ That means the domain can not have -3 because it makes the denominator

   equal to 0

∴ The domain is all values of real numbers except x = -3

∴ The domain = {x : x ∈ R, x ≠ -3}

The domain = (-∞ , -3) ∪ (-3, ∞)

HELP MEEEE I RLLY CANT KEEP DOING THIS

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME THIS IS DUE TODAY AND IT CONTS A LOT ON MY GRADE

Answers

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

second anwser choice plus i love nicki

How many solutions does this equation have
6x + 2x - 4= 4(2x - 1)

Answers

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

6x + 2x - 4 = 4 ( 2x - 1 )         Equation

Step 2:

8x - 4 = 8x - 4          Combine Like Terms

Step 3:

8x = 8x         Add 4 on both sides

Answer:

All Real Numbers

Hope This Helps :)

If a line goes through the following two points: (0,-2) and (3,4), the slope of the line is:

Answers

Answer:

y = 2x – 2

Step-by-step explanation:

what is a simplified fractional eqeuvilent of a teminating decimal .68

Answers

Answer:

17/25

Step-by-step explanation:

0.68 is read as "sixty-eight hundredths."

Write sixty-eight hundredths as a fraction: 68/100

Now we reduce 68/100.

68/100 = 34/50 = 17/25

Answer:

17 /25

Step-by-step explanation:

0.68

is the same as  

6

10

+

8

100

=

68

100

68

÷

4

100

÷

4

=

17

25

As 17 is a prime number we stop at this point. srry if this in not correct

What is the circumference of the circle
A. 18.84
B. 17.6
C. 21.79
D. 15.65

Answers

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

hope this helps

Answer:

A

Step-by-step explanation:

Write the prime factorization of 4. Use exponents when appropriate and order the factors from least to greatest

Answers

2 because 4/2 =2 and both are prime numbers
2 because of 4/2 equals the letter 3

How much interest is earned in two years in a investment of 2,000 and the interest rate is 3%

Answers

Answer: $1,140

Step-by-step explanation:

2000 x .03 = 60

60 x 24 months = $1,140

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the probability that a blue marble will be drawn. a. One-third c. StartFraction 1 Over 7 EndFraction b. StartFraction 1 Over 11 EndFraction d. StartFraction 3 Over 14 EndFraction

Answers

Answer: The answer would be the favorable out some (how many blues) over the total outcomes (all marbles added together)

So the answer would be 3/14 or 21%

What is the y-intercept of the function?

Answers

Answer:

-5

Step-by-step explanation:

Solve for y.
3x + 4y = z
-----------------

Answers

Answer:

y= z-3x/4

Step-by-step explanation:

4y=z-3x

y=z-3x/4

Answer:

[tex]y=\frac{z-3x}{4}[/tex]

Step-by-step explanation:

[tex]3x+4y=z[/tex]

Subtract 3x from both sides:-

[tex]3x+4y-3x=z-3x[/tex]

[tex]4y=z-3x[/tex]

Divide both sides by 4:-

[tex]\frac{4y}{4}=\frac{z}{4}-\frac{3x}{4}[/tex]

[tex]y=\frac{z-3x}{4}[/tex]

OAmalOHopeO

Jacob stated that he solved the equation 2x+3=5 using addition and multiplication property of equality. Which statement is true?

A. Jacob added -3 to both sides and multiplied both sides by 1/2
B. Jacob added -3 to both sides and multiplied both sides by 2
C. Jacob added 3 to both sides and multiplied both sides by 1/2
D. Jacob added 3 to both sides and multiplied both sides by 2

Answers

Answer:

It is A.

Step-by-step explanation:

It shows the steps that distribute everything properly

what is the answer to this question some one please help me (7−b)+(3b+2)

Answers

Answer:2b+9

Step-by-step explanation:

2b+9. first rearrange. then combine like terms

16) Avery selects two chips from a bag without looking at them. The bag has 5 green chips, 3 red chips, and 7 blue chips. What is the probability that he selects a red and then a blue chip (without replacing)? * 6 points 2/3 7/75 1/10 2/45

Answers

Answer:  [tex]\dfrac{1}{10}[/tex]

Step-by-step explanation:

Given: The bag has 5 green chips, 3 red chips, and 7 blue chips.

Total chips = 5+3+7= 15

Number of ways to select a red and then a blue chip = 3 x 7 = 21

Total number of ways to select 2 chips without replacement = 15 x 14 =210

Required probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{21}{210}=\dfrac{1}{10}[/tex]

So, the probability that he selects a red and then a blue chip (without replacing) =  [tex]\dfrac{1}{10}[/tex]

What are the coordinates of the vertices of the triangle under the translation (x, y) (x + 2, y + 3)? (-4, 5), (3, 4), (0, 0) (5, -4). (4, 3), (-1, 2) (6, -5), (5, 2), (1, -1) (-5, 6), (2, 5), (-1, 1)

Answers

Answer:

(2, 5), (-5, 6) and (-1, 1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x,y) is translated a units right and b units up, the new location is at A'(x + a, y + b).

From the image attached, the location of the vertices of the triangle is at (0,2), (-7, 3) and (-3, -2). If the triangle is under the translation (x, y) ⇒ (x + 2, y + 3), the new location of the vertices would be at (2, 5), (-5, 6) and (-1, 1)

Rebecca buys a shirt for $38.
She finds out the shirt is 25% off
and there is 8% sales tax. If
Rebecca has $40, how much change
will she receive?

Answers

Answer:

$8.46

Step-by-step explanation:

This is assuming that the sales tax is applied on the pre discounted item.

MDOSMSIENEIDIENDJDJCJX

looking at the graph what does the y intercept tell you about the puppies in the litter? help me ​

Answers

The predicted change in mass of the puppies each day. So the first option.

Grant bought strawberries and bananas from the grocery store to make smoothies. The total amount he spent can be represented by the expression 1.8s + 0.65b, where s is the number of pounds of strawberries and b is the number of pounds bananas. If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas, how much did he spend? Amount spent can be represented by the exper

Answers

Answer:

$5.77

Step-by-step explanation:

Given expression:

1.8s + 0.65b

where,

s = the number of pounds of strawberries

b = the number of pounds bananas

If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas

s = 2.7 pounds

b = 1.4 pounds

how much did he spend?

1.8s + 0.65b

= 1.8(2.7) + 0.65(1.4)

= 4.86 + 0.91

= $5.77

He spent $5.77 on both items

Circle K has a diameter of 10 centimeters and a major arc RS is intercepted by a central angle of 190°. Find the length of major arc RS . Round to the nearest tenth.

Answers

Answer:

16.6

Step-by-step explanation:

WHICH ONE?! AND PLS EXPLAIN WHYYY fast pls :(

A, B, C or F

Answers

A because every input has one output

I WILL GIVE BRAINLIEST PLS ANSWER CORRECTLY !!!!

Answers

Answer:

SSS

Step-by-step explanation:

Answer:

blue

sorry if wrong

Step-by-step explanation:

Betty had 1/3 yard of ribbon. She used 1/2 of it. How many yards of ribbon did she use?

a. 6 yd

b. 1/6 yd

c. 2/3 yd

d 3/2 yd

Answers

Answer:

b. 1/6 yd

Step-by-step explanation:

When Betty used 1/2 OF the 1/3 yards she has she has to multiple those. It's easier to put it in a sentence in my opinion because then you can see the "of" in the sentence which means to multiply. Hope this helps!

Factor the following expression: 5x + 15y

Answers

Answer: 5(x + 3y)

Step-by-step explanation: this way, if you multiply it out from this form, you get the answer that you were trying to factor in the first place.

PLEASE HELP ASAP!?!?!?

Answers

Answer:

i only did the second one!

but i am still trying to solve the first.

Hope I am correct! please forgive me if this is wrong!

I did also the first one!

Maurice and his father are building a dog house. They are using long pieces of wood and cutting them into smaller pieces. They have a piece of wood that is 3.6 feet long and are cutting it into pieces that are each 0.75 feet. How many smaller pieces will they be able to make?

Answers

Answer:

4.8 smaller pieces

Step-by-step explanation:

Total length of wood = 3.6 feet

Length of each piece = 0.75 feet

How many smaller pieces will they be able to make?

Number of smaller pieces of wood = Total length of wood / Length of each piece

= 3.6 feet / 0.75 feet

= 4.8 smaller pieces

Number of smaller pieces of wood = 4.8

A high school track​ team's long jump record is 24 ft 9 1/4 in. This​ year, Arthur​'s best long jump is 24 ft 3 1/2 If long jumps are measured to the nearest quarter​ inch, how much farther must jump to break the​ record?

Answers

Answer:

5 3/4 inches

Step-by-step explanation:

Given that :

Long jump record held = 24 ft 9 1/4 in

Arthur's best long jump record = 24 ft 3 1/2 in

How much further must ARTHUR jump to brake the record :

Long jump record - Arthur's best jump

[24 ft 9 1/4 in] - [24 ft 3 1/2 in]

24 ft - 24 ft = 0

9 1/4 in - 3 1/2 in

37 / 4 in - 7 /2 in

L. C. M of 4 and 2 = 4

(37 - 14) / 4 inches

23 /4 inches

= 5 3/4 inch

Answer: 5 3/4 inches

Step-by-step explanation:

u subtract then complete.

1. Lauren’s scores on her four math tests are: 83%, 79%, 94%, and 96%. What is the lowest score Lauren needs to achieve an average score greater than 85?

2. Twice an integer increased by 6 is less than 48.

A. Write an inequality.





B. What is the largest integer this could be?

Answers

Answer:A

Step-by-step explanation:

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: (5 points)

y > one half x + 2

The origin is not included in the shaded region and the shaded area is above the line.
The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.

Answers

Answer:

The origin is not included in the shaded region and the shaded area is above the line.

Step-by-step explanation:

The first option is correct one:

The origin is not included in the shaded region and the shaded area is above the line.

The shade region is above the line because the function is increasing, and the origin is not included because the y- intercept is positive number

See attached

express 0.016 as fraction in the lowest term podcast will mark as brainlist and will like and will rate u​

Answers

The lowest term of 0.016 as a fraction is 2/125
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