Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term.
5th term is - 26, 16th term is 51
What is the first term of the sequence?
What is the common difference?
What is the recursive formula for the sequence?
an = ,-1+
What is the formula for the nth term
the sequence?
Enter your answer in each of the answer boxes

Answer:

12.5 km per liter

Step-by-step explanation:

To get the kilometer per liter divide km by liters

100/8=12.5

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

Explanation:

The chords intersect to form the angle 73 degrees. The chords also form the arcs of 96 and x. Averaging the arc measures will result in the internal angle 73

---------

(x+96)/2 = 73

x+96 = 2*73 ... multiply both sides by 2

x+96 = 146

x = 146-96 ... subtract 96 from both sides

x = 50

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

x-3. eq 1

x+1 eq 2

4x-2 eq 3

Add equation 1 ,2 ,3

[tex]\blue\star[/tex]x -3 + x +1 +4x-2 =0

[tex]\blue\star[/tex]6x - 4 = 0

[tex]\blue\star[/tex]x = 4/6

[tex]\blue\star[/tex]x = 2/3

Hope it helps

Hope it help

Answer:

Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.

240 + 123 > 207 true

240 + 207 > 123 true

123 + 207 > 240 true

A = √(s(s-a)(s-b)(s-c))

s is the semi-perimeter (a + b + c)/2

s = (240 + 123 + 207)/2

s = 285

A = √(285*(285-249)(285-123)(285-207))

A = 12,730 units^2

Step-by-step explanation:

Answer:

Every segment has infinitely many midpoints

Every segment has one perpendicular bisector

Every segment has infinitely many congruent segments

Every segment has one line that is perpendicular to it

Step-by-step explanation:

Segments in a plane: The term "segment" is determined as a specific part that is being cut-out from a particular figure, for example, a spherical or a circular figure through a plane or a line as one of the parts consisting of a "circular area" associated with an arc or its related chord by two distinct planes or lines.

Answer:

- 1 -5 \sqrt(2) + 12i

Hoped I helped

Answer: $16

Step-by-step explanation:

reduce by 20% means cutting from 100% and leftover with 80% of original

                                            100%-20%=80%

original price: $20×100%=$20

after reduction: $20×(100%-20%)=$16

Answer:

16

Step-by-step explanation:

First find the discount

20 * 20%

20 * .20

4

Subtract this from the price

20 -4

16

The new price is 16

Answer:

$5.00 each month.

Step-by-step explanation:

60 / 12 = 5

60 for how many $ per year.

12 for how many months are in a year.

Answer:

[tex]m_1 = m_2 = 4[/tex]

Step-by-step explanation:

Given

[tex]y = 4x + 1[/tex]

[tex]y = 4x + 10[/tex]

Required

Show that these two lines have no point of intersection

The general equation of a line is

[tex]y = mx + b[/tex]

Where m represents slope

In [tex]y = 4x + 1[/tex]

[tex]m = 4[/tex]

Similarly; in [tex]y = 4x + 10[/tex]

[tex]m = 4[/tex]

Since the slope of both lines are equal;

[tex]m_1 = m_2 = 4[/tex]

This implies that the lines are parallel and parallel lines have no point of intersection

See Attachment for Graph

Let's go through each statement to see if it is true or false.

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

Integers are always whole numbers

This is true. Integers are numbers that don't have any fractional or decimal portion

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

All whole numbers are rational

This is also true. Let's say we had the whole number 7. We can write it as 7/1 which is rational. A rational number is any number that can be written as a fraction of two integers. So this means any whole number can be converted to a rational number format.

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

Integers include all rational members

This is false. It is true that all integers are rational, but there is more to the story than just integers when it comes to listing all rational numbers.

For instance, the number 1/2 is rational, but it is not an integer.

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

Rational numbers do not include integers.

This is false. As stated earlier, any integer can be placed over 1 to form a rational number. So the rational numbers do include integers, among non-whole number fractions as well.

Answer:

[tex] -ax - 20 = -14 [/tex] => [tex] x = -\frac{6}{a} [/tex]

[tex] 4 = \frac{6}{a}x + 5 [/tex] => [tex] x = -\frac{a}{6} [/tex]

[tex] 7 + 2ax = 13 [/tex] => [tex] x = \frac{3}{a} [/tex]

Step-by-step explanation:

[tex] -ax - 20 = -14 [/tex]

[tex] -ax - 20 + 20 = -14 + 20 [/tex]

[tex] -ax = 6 [/tex]

[tex] \frac{-ax}{-a} = \frac{6}{-a} [/tex]

[tex] x = -\frac{6}{a} [/tex]

[tex] 4 = \frac{6}{a}x + 5 [/tex]

[tex] 4 - 5 = \frac{6}{a}x + 5 - 5 [/tex]

[tex] - 1 = \frac{6}{a}x [/tex]

[tex] - 1*\frac{a}{6} = \frac{6}{a}x*\frac{a}{6} [/tex]

[tex] -\frac{a}{6} = x [/tex]

[tex] x = -\frac{a}{6} [/tex]

[tex] 7 + 2ax = 13 [/tex]

[tex] 7 + 2ax - 7 = 13 - 7 [/tex]

[tex] 2ax = 6 [/tex]

[tex] \frac{2ax}{2a} = \frac{6}{2a} [/tex]

[tex] x = \frac{3}{a} [/tex]

Answer:

d=-4m + 28

Step-by-step explanation:

1. 1/4d +m+-m= 7 + -m

1/4d=- -m +7

2. divide doth sides

1/4d divide 1/4= -m+7 divide 1/4

d= -4m + 28

Answer:

g(-3) = 0.012

or

D

Step-by-step explanation:

Step 1: Write out function g(x)

g(x) = x⁻⁴

Step 2: Define variable from problem

x = -3

Step 3: Plug in variable

g(-3) = (-3)⁻⁴

g(-3) = 0.012346

g(-3) ≈ 0.012

Answer:

y = - 4x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

Here m = - 4 and c = 7, thus

y = - 4x + 7 ← equation of line

Answer:

C AND D

Step-by-step explanation:

it is a rational and real number

Answer:

[tex]\Large \boxed{\mathrm{\bold{C.} \ real}} \\\\ \Large \boxed{\mathrm{\bold{D.} \ rational}}[/tex]

Step-by-step explanation:

[tex]\sf \displaystyle \frac{5}{6}=0.833333...[/tex]

The fraction is a repeating decimal. Repeating decimals are rational numbers.

A rational number is a real number.

Answer:

  y = (x -2)^2 +4

Step-by-step explanation:

Translation (right, up) by (h, k) gives you the function ...

  g(x) = f(x -h) +k

You want f(x) = x^2 to be translated right 2 and up 4, so it becomes ...

  y = (x -2)^2 +4

Answer:

solution set={35/3}

Step-by-step explanation:

--3(x+5)=50

3x+15=50

3x+15-15=50-15

3x=35

3x/3=35/3

x=35/3=11.66

solution set={35/3}

hope it will help ^_^

Answer:

B. x = 7/2 or x=-1/3

Step-by-step explanation:

You know both angles 6x² and 19x+7 have to be the same, so you can solve

6x² = 19x+7

6x² - 19x - 7 = 0

apply the quadratic formula and find

x = -1/3 or x = 7/2

now think carefully if the negative x is a realistic solution. It would lead to the angles being (2/3)°. This is not what the picture suggests, but it is also not wrong, so answer B seems the best.

Answer:

8. B

Step-by-step explanation:

"More than twice...-

2x

complement

90

"23 is more"-

+ 23

put it all together-

2x + 23 = 90

Angle E is 33.5 or 34 once you find the value of x

Now subtract this from 180 to find the other angle

180 - 34 = 146

Answer:

0.75

Step-by-step explanation:

the simplified equation is 2x=1.5 / 2= x=0.75

Answer:

$104.1

Step-by-step explanation:

17.35 x 6 = 104.1

104.1 x 5 =520.5

520.5 x 2 = $104.1

Hope this helps!

Answer:

-13

Step-by-step explanation:

{(-4)² + (-2)(-5)} / -2

= {16 + 10} / -2

= 26 / -2

= -13

Answer:

$120

Step-by-step explanation:

930-570=360 (Price difference in 3 years)

360 divided by 3= 120 (Price difference for each of the 3 years)

80 ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎

Answer:

80 :)

Step-by-step explanation:

Answer:

30.59

is your answer ............

Answer:

it belongs to rational number......

Answer:

eleven more than a number squared, decreased

by six;

evaluate when t = 5

Evaluating Expressions

Write the expression as 11 +t2 -6

Write the expression as 11 +2t -6

Write the expression as t underscore 2                                        

The value when t = 5 is 16.

The value when t = 5 is 30.

The value when t = 5 is 7.5.

Answer:

11 + the number sqaured - 6

Step-by-step explanation:

Since you do not provide any other numbers I do not know what the number is so I can only give you this.Hope it helps

Answer:

D. 22.5

Step-by-step explanation:

By the property of intersecting tangent and secant outside of the circle, we have:

x° = 1/2[(4x+5)° - 50°]

2x° = [(4x+5)° - 50°]

2x° = (4x-45)°

2x = 4x - 45

45 = 4x - 2x

45 = 2x

x = 45/2

x = 22.5

The measure of the variable x will be 22.5°. Then the correct option is D.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

We know that half of the difference between the angle (4x + 5)° and 50° will be equal to x°. Then the equation will be

x = [4x + 5 - 50] / 2

Simplify the equation, then we have

2x = 4x - 45

2x = 45

x = 22.5°

The measure of the variable x will be 22.5°.

Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ5

Answer:

112.5:15=7.5

Step-by-step explanation:

112.5:15

=112.5÷15

=7.5

The equation "112.5 : 15 = 7.5" is true.

Proceed option 1:

"15 - 112.5 = 7.5":

This equation is not correct because 15 - 112.5 does not equal 7.5.

Proceed option 2:

"15 : 112.5 = 75":

This equation is not correct because when we divide 15 by 112.5, we get a decimal answer of 0.1333, not 75.

Proceed option 3:

"112.5 : 15 = 7.5": This equation is correct.

When we divide 112.5 by 15, we get an answer of 7.5.

Proceed option 4:

"112.5 : 15 = 75": This equation is not correct because when we divide 112.5 by 15, we get an answer of 7.5, not 75.

Hence equation "112.5 : 15 = 7.5" is correct.

To learn more about equation visit:

https://brainly.com/question/29174899

#SPJ6

Answer:

They will have the same amount of sugar in their canisters in 15 days

Step-by-step explanation:

Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.

Since we do not know the number of days it will

take, we have to represent it using a variable.

Let the number of days be x days

Now, we are told Li uses 8.4 g per day.

So in x days, the amount user will be 8.4 * x = 8.4x g

Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x

For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g

So the amount of sugar left in her canister will be 191-12.6x

Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;

128-8.4x =191-12.6x

Collect like terms;

12.6x-8.4x = 191-128

4.2x = 63

x = 63/4.2

x = 15 days