find the eighth term of an arithmetic sequence if the first term is 5 and the common difference is 6

Answers

Answer 1

Answer:

47

Step-by-step explanation:

Formula for finding nth term of an arithemetic sequence is:

tn = t1 + (n-1) d

Where t1 is the first term, n is the specific term, and d is the common difference.

Plug numbers into the formula and solve:

t8 = 5 + (8-1)6

t8 = 47


Related Questions

Five tickets are selected at random, and those five people win a gift card. If 231 tickets were purchased for the fundraiser, how many different groups of winners can there be?

Answers

Answer:

46.2

Step-by-step explanation:

If you divide 231 by 5 then you get that answer.

A ladder of length 8m rests against a wall so that the angle bsetween the ladder and wall is 45 degree .How far is the base of the ladder from the wall?

Answers

Answer: 8√2

Explanation: Use the 45-45-90 theorem to solve.

45 45 90
s s s√2
8√2 8√2 8

helppppp meeee, I need all three, I need an explanation tooo

Answers

Answer:

Step-by-step explanation:

for the first one: d

Jason has 208 baseball cards. This is 52 less than the number of cards that Robert has.
Which equation below best represents this scenario?


A) R+ 208= 52

B) R- 52 = 208

C) 52 - R = 208

D) 208 - 52 = R

Answers

Answer:

B) R - 52 = 208

Step-by-step explanation:

Robert has 52 more cards than Jason, who has 208, so Robert has 208 + 52 cards. This can be turned into:

R = 208 + 52

then subtract 52 from both sides:

R - 52 = 208 + 52 - 52

R - 52 = 208

and that's the answer

1.Which triangle are acute 2.Which triangles are obtuse 3.Which triangles are scalene 4.Which triangles are isosceles 5.Which triangles are equilateral? 6.Which are right triangles?

Answers

Answer:

1.C

2.D

3.all angles need to be different

4.A

5.E

6.B

Step-by-step explanation:

Find the simplified quotient
27 +51 +3
12-37-4
.
47 +27 -6
X-8x +16
о
1-4
21-2
O
1
27-2
O
X-4
y-

Answers

Answer:

y24 x66

Step-by-step explanation:

Yeah!! than vsj haha yeamKah

True or false question. In Standard form, the number 3.5 *10^4 is 3,500.

Answers

Answer: False

Step-by-step explanation:

10^4=10000. 10000*3,5=35000.

Answer:

No, you missed a zero.

Step-by-step explanation:

In the given case, as we have the number as  

3.5 × 10^4, we need to move decimal digit to the right by three points. For this, let us write 3.5 as 3.50000 and moving decimal point four points to right means  

35000.0

Hence in standard notation  

3.5 × 10^4=35,000

Beth filled 72 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did beth use?

Answers

Answer:

9 gallons were used

Step-by-step explanation:

There are 8 pints to 1 gallon

72 jars holding 1 pint each means 72 pints total

72/8=9

Beth used 9 gallons

P.S. Can I get brainlist

Since there are 8 pints in a gallon, we would divide 72 by 8 because each jar represents one pint. After dividing we would get 9! Beth used 9 gallons

Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?

А. m(x) = 3x + 3

B. m(x) = -3x + 5

C. m(x) = -3x - 3

D. m(x) = 7x + 5​

Answers

Answer:

m(x) =-3x -3

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x +4

f(x) -g(x) =  2x + 1 -( 5x +4)

Distribute the minus sign

f(x) -g(x) =  2x + 1 -5x -4

Combine like terms

            = 2x-5x   +1 -4

             = -3x -3

Because the variable m does not appear in Ax + By = C, equations in this form make it impossible to determine the line's slope m. If the statement does not make sense, then how can you find m and what would it be? Show your work.

Answers

Answer:

Step-by-step explanation:

The statetement does not make sense because we can rewrite the equation of the line in the slope intercept form

1) add -Ax at both members

Ax + By - Ax = -Ax + C

By = -Ax + C

2) divide both members by B (assuming that its value is not 0)

y = (-A/B) x  + C/B

the slope of the line is the therm that multiply x, so

m = -A/B

Robert says that he can draw an obtuse equilateral triangle. Jonas says that is not possible. Who is correct and why?

A.
Robert is correct as long as the other two angles are acute and all of the sides are the same length.

B.
Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same length.

C.
Robert is correct because all equilateral triangles have 1 obtuse angle and all sides the same length.

D.
Jonas is correct because equilateral triangles have one right angle and two sides the same length.

Answers

Answer:

The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght

PLS HELP
A train arrives at a station every 2 hours. A bus arrives at the same station every 3 hours. A train and a bus arrive at 1 pm. When is the next time of day that a train and a bus will arrive together?

Answers

Answer:

7pm

Step-by-step explanation:

A train arrives every 2 hours and a bus every 3 so in 6 hours time a bus and a train will arrive together

It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get to school today?

EXPLAIN THE ANSWER

Answers

Answer:

28 minutes

Step-by-step explanation:

40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4

1.4*20 = 28

Please help find the volume by using 3.14 as pi

Answers

Answer:

P

v = 794.0275 in³

Q

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

----------------------------

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

-----------------------------

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³

Raju's father is 26 years younger than raju's grandfather and 29 years older than raju. The sum of the ages of all the three is 135 years. Also raju's grandmother is 4 times raju's age and his sister is 7 times younger than him

Answers

Answer:

Raju = 17 years

Raju's father age = 46 years

Raju's grandfather age = 72 years

Raju's grandmother = 68 years

His sister = 10 years old

Step-by-step explanation:

Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.

Let

Raju's age = x

Raju's father age = x + 29

Raju's grandfather age = (x + 29) + 26

Total ages = 135

(x) + (x + 29) + (x + 29) + 26 = 135

x + x + 29 + x + 29 + 26 = 135

3x + 84 = 135

3x = 135 - 84

3x = 51

x = 51 /3

x = 17

Raju's age = x = 17 years

Raju's grandmother = 4 times raju's age

= 4 × 17 years

= 68 years

his sister = 7 years younger than him.

= 17 - 7

= 10 years old

Raju's father age = x + 29

= 17 + 29

= 46 years

Raju's grandfather age = (x + 29) + 26

= 46 + 26

= 72 years

3. The total cost of 3 Nintendo Switch games is $89.97. If
each game costs the same amount, write an equation that
can be used to determine g, the cost of 1 game.

Answers

Answer:

3x=89.97

 x=89.97/3

 x=29.99 -- price of one

Step-by-step explanation:

30. One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t) = -16t2 + 39t. What is the real world or practical domain of this function?

Answers

This model will be by 16/8 I will do 8/8

can you please help? f(x)=x^2 what is g(x)?

Answers

Answer:

D

Step-by-step explanation:

g(x) will be -x^2-3. The minus in front of the x makes the graph flip upside down, and the "-3" indicates its position on the y-axis. Hope this helps!!

Answer: Choice D.  g(x) = -x^2-3

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

Explanation:

Start with the curve y = x^2.

Reflect it over the horizontal x axis to get y = -x^2

Then shift everything down 3 units to arrive at g(x) = -x^2-3

You can use a tool like Desmos or GeoGebra or anything similar to help verify this.

What is the estimated monthly expenses for a veterinarian?

Answers

Answer:

Roughly $50-$400

Step-by-step explanation:

Some expenses include:

- Vitamins

- Medication for fleas/heartworms

- Spaying/neutering

I got 7 but I’m confused

Answers

Answer:

27

Step-by-step explanation:

3v+6=5v-8

3v+14=5v

14=2v

v=7

3*7+6

21+6

27

u were right on 7 u just need to plug it into the equation

A farmer takes note of how many eggs he collects each day for 20 days and creates a boxplot from his data
(below). How many of the days did he collect MORE than 3 eggs?

Answers

Answer:

C.

Step-by-step explanation:

Each part of the boxplot is 25%.

At 3, Q1 starts.

Q1 + mean + Q3 = 75%

0.75 * 20 = 15 days

f the measure of angle BCD is 67.4°, the measure of angle ABC is °. If the length of base AB is 80 feet, the length of DC is feet.

Answers

Answer:

[tex]\angle ABC = 112.6^o[/tex]

[tex]DE =105[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

[tex]\angle ABC[/tex] and side length DC

 Calculating [tex]\angle ABC[/tex]

First, calculate [tex]\angle EBC[/tex]

[tex]\angle EBC + \angle BCE + 90 = 180[/tex] --- angles in a triang;e

[tex]\angle BCE =\angle BCD = 67.4[/tex]

So:

[tex]\angle EBC + 67.4+ 90 = 180[/tex]

[tex]\angle EBC + 157.4 = 180[/tex]

Collect like terms

[tex]\angle EBC = 180-157.4[/tex]

[tex]\angle EBC = 22.6[/tex]

So:

[tex]\angle ABC = \angle EBC +90[/tex]

[tex]\angle ABC = 22.6 +90[/tex]

[tex]\angle ABC = 112.6^o[/tex]

Calculating DC

First, calculate EC using Pythagoras theorem.

[tex]BC^2 = BE^2 + EC^2[/tex]

[tex]65^2 = 60^2 + EC^2[/tex]

[tex]4225 = 3600 + EC^2[/tex]

Collect like terms

[tex]EC^2 =4225 - 3600[/tex]

[tex]EC^2 =625[/tex]

Take square roots

[tex]EC = 25[/tex]

Length DC is:

[tex]DC = DE + EC[/tex]

Where

[tex]DE = AB =80[/tex]

So:

[tex]DE =80+25[/tex]

[tex]DE =105[/tex]

Answer:

ABC= 112.6

DC= 105

Step-by-step explanation:

got it right on edge!

2(5x + 3) + 2 = 10x + 6
A-one solution
B-infinitely many solutions
c-no solution

Answers

Answer:

C

Step-by-step explanation:

Given

2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side

10x + 6 + 2 = 10x + 6

10x + 8 = 10x + 6 ( subtract 6 from both sides )

10x + 2 = 10x ( subtract 10x from both sides )

2 = 0 ← not possible

This indicates the equation has no solution

Answer:

no solutions

Step-by-step explanation:

2(5x + 3) + 2 = 10x + 6

* solve for x *

step 1 distribute the 2 to 5x and 3

2 * 5x = 10x

2*3=6

we now have 10x + 6 + 2 = 10x + 6

step 2 combine like terms

6 + 2 = 8

we now have 10x + 8 = 10x + 6

step 3 subtract 10x from each side

10x-10x=0

10x-10x=0

we're left with 8 = 6

8 is not equal to 6 meaning that there are no solutions to the equation

Pls help with this someone i'm struggling with this!

Answers

Answer:

x=9

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

Answer:

x=9  

Step-by-step explanation:  

Because if you remove the radical by raising each side to the index of the radical you get x=9.

What is the surface area, in cm2, of the figure?

Answers

Answer:

292 cm²

Step-by-step explanation:

the area = 2×(8×6 +8×7 + 6×7)

= 2×(48+56+42)

= 2×146

= 292

Please help me with this math no weird answers

Answers

Answer:

4a 8v+3

4b 50y+63

5a 11v+8

5b 10y-82

6a 14p

6b 36y-5

7a -3z

7b 0

Answer:

4a.

7v+3-(-1)v

7v+3+v

8v+3

4b.

-7+10(5y+7)

-7+50y+70

50y+63

5a.

-3v+4v+8+10v

11v+8

5b.

10(y-9)+8

10y-90+8

10y-82

6a.

p+9p+p+p+p+p

14p

6.b.

4+9(-4y-1)

4-36y-9

-36y-5

7.a.

-5z+2z

-3z

7b.

-10y+10y

=0

Can someone help with this problem! Please don't scam

Answers

Answer:

KQ = 11.5 units

Step-by-step explanation:

In triangle ABC,

K is the point of intersection of medians AP and BQ.

Therefore, point K will be the centroid of the triangle.

Property of the centroid of a triangle,

" Centroid of a triangle divides the median in the ratio of 2 : 1"

Ratio of BK and KQ = 2 : 1

[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]

[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]

[tex]KQ = \frac{23}{2}[/tex]

KQ = 11.5

Therefore, length of segment KQ = 11.5 units

HELP ME I'LL MARK BRAINLIESTS AND PLUS 65 PTS!!!

Answers

Answer:

114

Step-by-step explanation:

Apply triangle outer angle theorem.

24+90=114.

Angle 1 equal 114

HELP THIS IS DUE TODAY I WILL NAME YOU THE BRAILIEST!!!!!!!
Determine the equation of the circle graphed below.

Answers

Answer:

[tex](x-4)^2+(y+3)^2=20[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

Center at [tex](4,-3)[/tex]

To find the radius, we can use the distance formula. For points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

Let

[tex](x_1,y_1)\implies (-4, -3),\\(x_2,y_2)\implies (8,-1)[/tex]

[tex]r=\sqrt{(8-4)^2+(-1-(-3))^2},\\r=\sqrt{4^2+2^2},\\r=\sqrt{20}=2\sqrt{5}[/tex]

Thus, the equation of this circle is

[tex](x-4)^2+(y-(-3))^2=\sqrt{20}^2,\\\boxed{(x-4)^2+(y+3)^2=20}[/tex]

.. The solution of which quadratic Inequality is shown on the number line?
O (3+6) (3 – 4) <0
O (2-6) (2 - 4) > 0
O (30 – 6)(+4) <0.
O (30 – 6) (x – 4) <0

Answers

Answer:  Choice C

Explanation:

If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.

Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".

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