In an arithmetic sequence, the first term,
a1, is equal to 9, and the sixth term, a6, is
equal to 34. Which number represents the
common difference of the arithmetic
sequence?

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Add 5 to each preceding number

               [tex]a_{n}[/tex] = ([tex]a_{n-1}[/tex])+5

1 9  9

2  14   [9+5]

3  19   [14+5]

4  24  [19+5]

5  29  [24+5]

6 34 34  [29+5]


Related Questions

how to do this equation y=2x-10 and 2y=x-8

Answers

Answer:

y=2x-10

2y=x-8

since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one

4x-20=x-8

-x

3x-20=-8

+20

3x=12

x=4

then lets just plug it in

2y=4-8

simplefy

2y=-4

y=-2

(4,-2)

Hope This Helps!!!

pls help me with this problem

Answers

Answer:

y = total amount of money in Maria’s savings account.

x= number of days.

you are given the y-intercept (12) and the slope of the equation ( $2/ 1day ).

thus, c = 12

m = 2

substitute these values into slope–intercept form,

y = mx + c

y = 2x + 12

hope this helps you!

-s.

17 is 0.21% of what number

Answers

170000/21. Based on the given conditions,
formulate: 17 / 0.21% Convert the percentage to
decimals: 17/0.0021 M

Answer:

0.21% of 8,095.23=17

Step-by-step explanation:

17÷0.21%

17÷(0.21÷100)

(100×17)÷0.21

1700÷0.21

8,095.238095

ans is 8095.23

hope it helps

Find the value of x, y, and z in the figure below:
ہ
2y
IN
2x
90°
t

Answers

Answer:

x=30°

y=15°

z=150°

Step-by-step explanation:

2x+90+x=180°

2x=180°-90°

x=90/3

x=30

2y=x

y= 30/2

y=15°

2y°+z°=180°

2(15°)+z°=180°

z=180°-30°

z=150°

Hope it helps! :)

arrange 5/4 1/2 5/6 in ascending order​

Answers

Answer:

Order is    1/2  < 5/6 < 5/4

Step-by-step explanation:

  1/2  = 0.5

  5/6 = 0.83

  5/4 = 1.25

      0.5 < 0.83 < 1.25

Just convert 'em to decimals....

½ = 0.5

⅚ = 0.83

5/4 = 1.25

# 1/2 < 5/6 < 5/4

pls help i cant think of the answer rn

Answers

Domain: (-inf,inf)
Range: [-16,inf)

Please like if correct and brainiest

At what point on the curve y = 9 + 2ex − 5x is the tangent line parallel to the line 5x − y = 8?

(x, y) = ?

Answers

Answer:

[tex](\ln(5), 19-5\ln(5))[/tex]

Step-by-step explanation:

The line can be represented as y=5x-8, so the slope of the line is 5.

The derivative of the curve is:

[tex]\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\[/tex]

We need to set that equal to 5 to find the x coordinate of our desired point

[tex]2e^x-5=5\\2e^x=10\\e^x=5\\x=\ln(5)[/tex]

Now, just plug in x in the curve to solve for y:

[tex]9+2e^{\ln(5) } -5\ln(5) = y\\9+10-5\ln(5)=y\\19-5\ln(5)=y[/tex]

Line 5x y = 8 has a slope of 5. This means that the tangent line that runs parallel to this line must also have a slope of 5.

To solve this equation

dy/dx = 2ex 5 is the derivative of the function y = 9 + 2ex 5x. Consequently, 2ex 5 is equal to the slope of the tangent line at any location.

When we set the slope of the tangent line to 5, we obtain:

2ex − 5 = 5

2ex = 10

e^x = 5

Taking the natural logarithm of both sides, we get:

ln(e^x) = ln(5)

x = ln(5)

Therefore, ln(5) is the x-coordinate of the crossing point.

We can enter this value of x into the original function to determine the y-coordinate:

y = 9 + 2e^(ln(5)) − 5(ln(5))

y = 9 + 10 − 5ln(5)

y = 15 − 5ln(5)

As a result, the intersection is at (ln(5), 15 5ln(5)).

To sum up, (ln(5), 15 5ln(5)) is the point on the curve y = 9 + 2ex 5x where the tangent line is parallel to the line 5x y = 8.

Learn more about tangent line here

https://brainly.com/question/33610482

#SPJ3

seriously i have no idea

Answers

Answer:

A. <LKM = <LJN

Step-by-step explanation:

A. <JKM = <LJN is not congruent = will NOT prove

B. KM/JN = KL/ML is a valid proportion = will prove

C. JN || KM is congruent = will prove

D. KL/JL = ML/NL is a valid proportion = will prove

which of the following is the equation of a line ine slope-intercept form for a line with slope=5 and intercept=(0,-3)

Answers

Answer:

The equation would be y = 5x - 3

20x - 15y + 6 What is the variables? After this one I got one more answer so please answer quickly!

Answers

Answer:

x and y

Step-by-step explanation:

The variables are x and y

Hope this helps!

Help me with this pleaseeeeeeee

Answers

Answer:22 hopes this helps

Step-by-step explanation:

so here the problem look at the numbers -8 and 14

8 is no long a a negative it’s positive

So now you got 8 + 14 = 22

Answer:

22 blocks

Step-by-step explanation:

just simply add 8 and 14 to get your answer :)

I NEED HELP ASAP!!!!

Answers

Answer:

B) 8

Step-by-step explanation:

Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.

If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.

Eddie had 30 dollars to spend on 3 gifts. He spent 11
7
10
dollars on gift A and 5
2
5
dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

12.9 or 12 9/10

I need help on this no rush either take as much time as you need and I asked my sister this but she said just ask on brainly

Answers

Answer:

45

Step-by-step explanation:

The equation for area of a triangle is:

[tex]A=\frac{1}{2}*b*h[/tex]

Using the figure, we can determine the base is 15 since it is perpendicular to the height.

We can plug 6 (height) and 15 (base) into the equation to solve for the area...

[tex]A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45[/tex]

PLEASE HELP ASAP!!!!!! no links please

Answers

9 3/4 acres in 3 3/8 days = 9 6/8 acres in 3 3/8 days

(72 + 6)/8 = 78/8

(24 + 3)/8 = 27/8

78/8 divided by 27/8 = 78/27 = 26/9 or 2 8/9 acres/day

which expression is equivalent to 7(6m - 7) + 9?
- 42 + 2
- -7(6m + 7) + 9
- 7 (-7 + 6m) + 9
- -40m + 42​

Answers

Answer:

[tex]7( - 7 + 6m) + 9[/tex]

Amanda is buying her first car for $10,000. She is going to take out a loan from the bank that has an interest rate of 3.4% on the total cost. She will also need to pay tax on the car. How much will she owe in total?

Answers

Ben wants to buy a used car. He has $3000 but wants $3500 to spend. He invests his $3000 into an account earning

I need help on this, will someone try and help me out? PLEASE

Answers

step 1.) Multiply both sides of the equation by -6

step 2.) Sum the equations vertically to eliminate at least one variable

step 3.) Divide both sides of the equation by

step 4.) Substitute the given value of into the equation x - 2y = 10

step 5.) Solve the equation for x

step 6.) The possible solution of the system is the ordered pair (x , y)

step 7.) Check if the given ordered pair is the solution of the system of equations

step 8.) Simplify the equalities

step 9.) Since all of the equalities are true, the ordered pair is the solution of the system


So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!

Answer:

x=4 y=-3

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

x−2y=10 ; 6x+3y=15

Step: Solve x −2y= 10for x:

x − 2y + 2y = 10 + 2y (Add 2y to both sides)

x=2y+10

Step: Substitute 2y+10 forx in 6x+3y=15:

6x+3y=15

6x+3y=156(2y+10)+3y=15

15y+60=15 (Simplify both sides of the equation)

15y+60+−60=15+−60 (Add -60 to both sides)

15y=−45

15y/15=−45/15(Divide both sides by 15)

y=−3

Step: Substitute −3 for y inx=2y+10:

x=2y+10

x=(2)(−3)+10

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=−3

Tell whether the angels are adjacent or vertical. Then find the value of x.

(please show how you solved the problem!)

Answers

Answer:

Angles: adjacent

x = 18

Step-by-step explanation:

Adjacent Angles: angles that border each other to the left/right

Vertical Angles: opposite set of angles that are congruent

Given these definitions, these angles are not only adjacent, but also right angles. Right angles add to 90°.

Thus, 3x + 2x = 90

Step 1: Combine like terms.

[tex]3x + 2x = 90[/tex] [tex]5x = 90[/tex]

Step 2: Divide both sides by 5.

5x ÷ 5 = 90 ÷ 5x = 18

Therefore, the answer is adjacent and x = 18.

Paid for $22 for for movie tickets how many would they have pay for for 16 tickets

Answers

Answer:

$352

Step-by-step explanation:

One ticket costs $22, so 16 tickets would be 22 times 16.

Final Answer: $352

The figure shows a rhombus ABCD. The diagonal DB is produced to E such that BC = BE and CDE = 46°.
Find
(I) BAD
(ii) BCE​

Answers

Answer:

(i) 88°

(ii) 23°

Step-by-step explanation:

See the picture below.

The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.

ABCD is a rhombus, so all sides are congruent.

Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.

what is the eqation of − 152 = 90

Answers

Answer:

x=242

Step-by-step explanation:

-152=90

+152  +152

=242

i need help with this match

Answers

Answer:

1 d

2 b

3 g

4 a

5 e

6 f

7 c

8 h

Please mark as Brainliest

systems of equations by elimination
8x+14y=4
-6x-7y=-10

Answers

Answer:

x = 6/5

y = 2/5

Step-by-step explanation:

this is the answer i got please mark brainliest i really need it cuz i need 2 more

represent -6 on number line​

Answers

Answer:

-6 = negative 6

negative is on the left side of the number lines

6 left from the middle

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

A pumpkin pie recipe calls for 30 ounces of pumpkin, 6 eggs, and 2.5 cups of brown sugar to make two pies. How much of each ingredient is required to make five pies?

Answers

Answer:

75 onces 15 eggs and I dont know for the brown sugar

Step-by-step explanation:

Your school is planning a banquet. The cost of renting a function is $180. The cost of food is $18 for each person. How many people attending the banquet if the total cost was $1,638? Write and solve an equation

Answers

81.

18 x 81 is $1,458 and if you add the $180 it costs to rent the place it totals to $1,638

What is the effect of removing the outlier 11 from the following data set? (1 point)

{11, 85, 87, 88, 91, 91, 92, 93, 95}

A The mean would increase.
B The median would decrease.
C The interquartile range would increase.
D The median of the lower quartile would stay the same.

Answers

Answer:

A The mean would increase.

Step-by-step explanation:

mean = sum of numbers ÷ how many numbers there are

the mean with the outlier 11:

(11 + 85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 9 = 81.4

the mean when removing the outlier 11:

(85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 8 = 90.25

the mean has now increased

what is 3/5 divided by 7/8

Answers

Answer:

24/35

Step-by-step explanation:

3/5÷7/8

The 7/8 changes to 8/7 because of the division

i.e 3/5×8/7

which is 24/35.

[tex] \frac{24}{35} [/tex]

Just flip

What is the Absolute Value of -15 and 16?

Answers

Answer:

AV of -15 is 15.

AV of 16 is 16.

Step-by-step explanation:

It turns the number positive.

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