Find the 7th term in the following sequence (n = 7)

f(n) = 5 + 8(n-1)

Also, for this question, state what a1 is (first term) and the common difference (a2 - a1).

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Substitute n = 7 into f(n)

f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53

f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

By comparison, then

a₁ = 5 and common difference d = 8


Related Questions

Help! Plz thank you!!!!

Answers

Answer:

i do not see a picture or an image of what you need.

Step-by-step explanation:

5
Marie was hiking. She started at
10 feet above sea level and
then traveled up a mountain,
reaching 90 feet above sea
level. How many feet must she
descend to be at sea level?
athy

Answers

Answer:

90

if she's at 90ft above sea level she just needs to go back down 90ft to get to sea level

Is (2, 4) a solution to this system of inequalities?

y < 8x + 8
y ≥ x + 1

Answers

Answer:

yes

Step-by-step explanation:

4<8*2+8

4<16+8

4<24

4 ≥2+1

4 ≥3

Can someone help please

Answers

Answer:

x = twelve

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(3x + 3)° + (4x + 3)° = 90°

3x + 4x + 3 + 3 = 90°

7x = 90° - 6°

x = 84/7

x = 12

#CMIIW

Use the Venn diagram to find AU B, CuD, and (AUC) UD.

Answers

Answer:

A U B ={2,5,6,7,8,15}

C U D ={3,11,21,26}

If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the length of the two other sides?

Whoever answers first will get all my 38 points!!

Answers

hyp^2 = a^2 + b^2

sqrt (hyp) = 2
hyp = 4
hyp^2 = 16 then from above a^2 + b^2 = 16

Mrs. Kvitova earns $78,000 annually. If her state income tax rate is
3.8%, how much does she owe per month for state income tax?

Answers

i don’t know the answer but i need to help people before i get help so just act like i helped you

a bill is 45.89 what would your sales tax be at 6.625

Answers

Answer:

3.04

Step-by-step explanation:

The sales tax rate is either 6.625% or 0.06625 as a decimal fraction.

To calculate the sales tax on this bill, multiply 45.89 by 0.06625:  3.04

The tax would be 3.04.

Next time please use the dollar sign ($).

please help please help please help please help

Answers

4.6cm will be the correct answer

Which expressions have a value that is 8 times as much as the sum of 10 and 9? Select the correct answers.
0- 8 x (10 + 9)
1 - 8 x 10 + 9
2- 10 + 9 x 8
3- (10 + 9) x 8
4- (10 x 8) + 9​

Answers

Answer:

3

Step-by-step explanation:

(10+9) = 19

19×8 =152

when you divide 152by8 you still get 19 which is the sum of 10+9

Solve each system of equations by graphing.
y = 2x
y = x + 1

Answers

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

[tex]\tt y = 2x = 2(0) = \red{0}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = 2x = 2(1) = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}[/tex]

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

[tex]\tt y = x + 1 = 1 + 0 = \red{1}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = x + 1 = 1 + 1 = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}[/tex]

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

Line segment AB consists of points A (-1, -2) and B (3,-4). Point C is the midpoint of line segment AB. What would be the equation of the line perpendicular to AB that passes through point C ?​

Answers

A⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣ouldn't a⁣⁣⁣ttach i⁣⁣⁣t h⁣⁣⁣ere, b⁣⁣⁣ut I u⁣⁣⁣ploaded i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. l⁣⁣⁣ink b⁣⁣⁣elow! G⁣⁣⁣ood L⁣⁣⁣uck!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

b

Step-by-step explanation:

I think I'm not sure I just need to answer a question don't trust me.

At Johnny's Swimwear, 75% of the 100 swimsuit styles are bikinis. How many bikini styles are there?

Answers

Answer:

75 swimsuits are bikinis

Step-by-step explanation:

75% as a fraction is 75/100, so 75 of the 100 swimsuits are bikinis.

Answer:

There are 75 bikini styles

Step-by-step explanation:

This is because 75% of 100 is 75 and if there are 100 different styles of swinsuits and 75% of them are bikinis then there are 75 different bikini styles

If you think of the equation as an equation for a line.

=+
y
=
m
x
+
b

where

=5/9(−32)
C
=
5
/
9
(
F

32
)

or

=5/9−5/9(32)
C
=
5
/
9
F

5
/
9
(
32
)

you can see the slope of the graph is 5/9
5
/
9
, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9
5
/
9
of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5
9
/
5
degrees Fahrenheit. Since 95
9
5
= 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5
9
/
5
degrees Fahrenheit, not 5/9
5
/
9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

Answers

Answer:

The answer is D.

Step-by-step explanation:

May be confusing.

Answer:

why are you giving out answers as a question

Step-by-step explanation:

Help me please 10 points no links or I report

Answers

Answer:

B. 5

Hope it helps!

Step-by-step explanation:

It lists green 5 times.

how do you solve for x

the similarity statement is abc~ xyz​

Answers

Answer:

m<X= 36.87 degrees

Step-by-step explanation:

Since the triangle abc and xyz are similar, hence;

m<C = m<Y

90 = x - 5

Add 5 to both sides

90+5 = x-5+5

95 = x

Swap

x = 95

m<Y = x - 5

m<Y = 95 - 5

m<Y = 90

Find m<X

Using the SOH CAH TOA

Opposite to m<X = YZ = 6

Adjacent = 8

Tan M<X = opp/adj

Tan m<X = 6/8

m<X = arctan(6/8)

m<X= 36.87 degrees

what is 2/3d -8=1/2d

Answers

Answer:

d = 48

Step-by-step explanation:

Look at pic below will give brainly (also putting a link is doing you no good and you not ever getting brainly) thank you!

Answers

Answer:

V = 1428 in

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

so:

16*8.5*10.5

Answer:

786.5

Step-by-step explanation:

16 x 10.5 = 168 x 2 = 336. 16 x 8.5 = 136 x 2 = 272. 8.5 x 10.5 = 89.25 x 2 = 178.5. 336 + 272 + 178.5 = 786.5

Which expressions are equivalent to 4(4a+5)?
A: 16a + 5
B: 16a + 20
C: 12a + 20 +4a
D: 2(8a +10)
E: 16a + 5 + 4

Answers

Answer: B: 16a+20

Explanation: Distribute
4(4a) + 4(5) = 16a +20
What they said. Is correct

Which is the graph of f(x)=1/4(4)c?



Answers

Answer:

The seacont one will be your answer hope it helps

Step-by-step explanation:

HELPP plz I need the answer with step by step don't send a file plz

Answers

Answer:

I uploaded a file hosting link for your question!

Here is the link:

bît.ly/endbotvirusesonbrainly

Step-by-step explanation:

B is the only set of numbers that is ordered from least to greatest.

Hope it helps :)

-2^3 = - 8

1/3 = 0.333

radical 5 = 2.236

_________________________________

- 8 , 0.333 , 1.7 , 2.236 , 3

- 8 , 1/3 , 1.7 , radical 5 , 3

Thus the correct answer is the second option .

For the data shown in the scatter plot below, identify a point apart from the main cluster?
A (1, 4)
B (3, 5)
C (8, 7)
D(4, 7)

Answers

Answer:

C. (8, 7)

Step-by-step explanation:

There are 2 points that are apart from the main cluster:

(8, 7) and (8.5, 7.5)

One of them is included in the answer choices:

C. (8, 7)

HELP ME!!! What are the three different ways you can write a ratio?

Answers

Answer:

A fraction, colon, words

Write an equation for this graph

Answers

Answer:

y = 3x

Step-by-step explanation:

m = (6-3)/(2-1) = 3/1 = 3

Answer: y=3x

Step-by-step explanation:

To write an equation, the first step is to look at the rise/run. In this graph, the rise is 3 and the run is 1. 3 divided by 1 is still 3 so in the equation mx+b, the m, also known as the slope, would be 3.

3x+b

And the b is the y-intercept where the line crosses the y axis.

3x+0=y

Therefore;

3x=y

Derek's car averages 30 miles per gallon. Which is closest to the amount of gas he will use traveling 454.5 miles?

Answers

Answer:

15.15

Step-by-step explanation:

30(g)=454.5 miles

then solve for g

g = 15.15

Give Brainllest

Answer:15 gallons

Step-by-step explanation:

How much would $125 invested at 8% interest compounded continuously be
worth after 16 years? Round your answer to the nearest cent.
A(t)= P*e^rt

Answers

Answer:

449.58

Step-by-step explanation:

125e^(0.08)(16)

use desmos scientific caclulator

Please help so I don’t fail this class

What is the measure of the reference angle for a -287° angle

Answers

The measure of the reference angle for a -287° angle is 17°.

To measure of the reference angle for a -287° angle

1. Determine the quadrant: First, we need to identify the quadrant in which the angle -287° lies.

  - In the standard coordinate plane, angles between 0° and 90° are in the first quadrant, between 90° and 180° are in the second quadrant, between 180° and 270° are in the third quadrant, and between 270° and 360° are in the fourth quadrant.

  - Since -287° falls in the third quadrant, we know that the reference angle will be found in the first quadrant.

2. Find the corresponding acute angle: To find the reference angle, we need to find the acute angle that has the same trigonometric values as the given angle.

  - To do this, we can add 360° to the given angle (-287° + 360° = 73°). This gives us an equivalent positive angle in the same position.

3. Determine the reference angle: Now that we have the positive equivalent angle (73°), we can find the reference angle by subtracting it from 90° (90° - 73° = 17°).

Therefore, the measure of the reference angle for a -287° angle is 17°.

For more Questions on reference angle

https://brainly.com/question/16884420

#SPJ8

find the solution set to each inequality

-2f<-16

please help, thanks in advance

Answers

Omg sorry about that,

F > 8

[tex]=59(F−32)[/tex]
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

Think of the equation as an equation for a line  y = m x + b  where in this case  C = 5 9 ( F − 32 )  or  C = 5 9 F − 5 9 ( 32 )  You can see the slope of the graph is  5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is  5 9  of 1 degree Celsius.  C = 5 9 ( F )  C = 5 9 ( 1 ) = 5 9  Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  9 5  degrees Fahrenheit.  C = 5 9 ( F )  1 = 5 9 ( F )  ( F ) = 9 5  Since  9 5  = 1.8, statement II is true.  The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of  5 9  degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:  C = 5 9 ( F )  C = 5 9 ( 5 9 )  C = 25 81 ( which is ≠ 1 )  An increase of  5 9  degree Fahrenheit leads to an increase of  25 81 , not 1 degree, Celsius, and so Statement III is not true.  The final answer is D.

What is the length of the outside of a circle called

Answers

Answer:

The distance around a circle on the other hand is called the circumference (c).

Step-by-step explanation:

A straight line that passes from one side of a circle to the other through the center is called the diameter. The distance around the outside of a circle is called the circumference. All points on the edge of a circle are the same distance to the center.

The length of the outside of a circle is called the "circumference."

The circumference is the total distance around the outer boundary of the circle.

The distance cover while completing one full lap around the track is equivalent to the circumference of the circle.

The formula to calculate the circumference (C) of a circle is:

C = πd

where π (pi) is a mathematical constant equal to 3.14159, and d represents the diameter of the circle.

The formula for circumference in terms of the radius is:

C = 2πr

Learn more about Circumference of circle here:

https://brainly.com/question/17130827

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