The first term of an arithmetic sequence is
42. The rule an = Q71-2 + 8 can be used to find
the next term of the sequence.

Answers

Answer 1

Answer:

i dont know i so sorry i thout ii know but i dont so sorry

Step-by-step explanation:

Answer 2

Answer:

The rule shows that each term is 8 more than the previous term, so the common difference is 8.The explicit formula of an arithmetic sequence is the initial term plus (n – 1)d.The explicit rule for this function can be found by substituting 42 for a1 and 8 for d.The explicit rule for the sequence is  42 + (n – 1)8.


Related Questions

Which of these is the algebraic expression for "4 times the sum of 2 and y?"
a 4 ⋅ 2 + y
b 4(2 + y)
c 2 + 4 ⋅ y
d 2(4 + y)

Answers

Answer:

b

Step-by-step explanation:

The sum of 2 and y is 2 + y, then 4 times this sum is

4(2 + y) → b

Solve each of the following equations. Show its set on a number line.
|4x-4(x+1)|=4


Pls answer immediately i'm giving 100 points!!!

Answers

Answer:

The solution set is all real numbers.

Step-by-step explanation:

Solve this equation, we have:

[tex]4x - 4/mleft(x + 1/mright) = 4 \\ (4x - 4x - 4) = 4 \\ ( - 4) = 4 \\ 4 = 4[/tex]

The final sentence is always true, The solution set is all real numbers.

Showing it in the number line in blue, we have:

Mr. Wright needs to buy a water tank for his classroom. The tank must fit inside a storage box that is shaped like a cube with side lengths of 20 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mr. Wright wants to buy the tank that has the largest capacity… What shape should he buy?

Answers

Answer:

square pyramids

Step-by-step explanation:

Square pyramids because they have corners and the storage box is shaped like a cube. If he gets things with rounded edges, then there will be empty space between each water tank.

Find the answer for m∠EFD

Answers

Given:

In triangle DEF, [tex]DE = EF[/tex] and [tex]m\angle 98^\circ[/tex].

To find:

The measure of angle EFD.

Solution:

In triangle DEF,

[tex]DE = EF[/tex]           (Given)

It means triangle DEF is an isosceles triangle.

[tex]m\angle EDF=m\angle EFD[/tex]           (Base angles of an isosceles triangle are equal)

Using angle sum property in triangle DEF, we get

[tex]m\angle DE F+m\angle EFD+m\angle EDF=180^\circ[/tex]

[tex]98^\circ +m\angle EFD+m\angle EFD=180^\circ[/tex]

[tex]2m\angle EFD=180^\circ-98^\circ[/tex]

[tex]2m\angle EFD=82^\circ[/tex]

Divide both sides by 2.

[tex]m\angle EFD=\dfrac{82^\circ}{2}[/tex]

[tex]m\angle EFD=41^\circ[/tex]

Therefore, the measure of angle EFD is 41 degrees.

PLS HELP Select all the expressions that represent the total area of this rectangle.

Answers

Answer:

E and D

Step-by-step explanation:

The area of a rectangle is length x width. In this case, that's (12+s) x 1/3

This can be re-written as 1/3(12+s)

D is 1/3s + 4 which is what happens when you multiply 1/3 by 12 which = 4 and multiply 1/3 by s which = 1/3s. So the answer is 1/3s+4.

Which type of transformation is shown?

Answers

Answer:

rotation? I think I'm not sure to or reflection

Answer:

rotation

Step-by-step explanation:

size, shape, and angle measures are preserved but orientation is not

What is the approximate area of the circle shown?
Use 3.14 to approximate pi. Round your answer to the nearest whole
number
18 cm

Answers

Answer:

254 cm^2

Step-by-step explanation:

18/2 = radius = 9

9^2(Pi) = 254 cm^2

Answer:

254

Step-by-step explanation:

please help if you can?

Answers

Answer and Step-by-step explanation:

The range would be [-5, 0]

This is because the points are included, and this is how far the graph's y-values go.

The range is based of the y-values of the graph, in which it looks for the greatest y value of the graph and the smallest y value of the graph.

#teamtrees #PAW (Plant And Water)

Name the angles and sides of each pair of triangles that are congruent.

Answers

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangles are congruent

WX ≅ DC

XY ≅ CY

WY ≅ DY

∠WXY ≅ ∠DCY

∠XWY ≅ ∠CDY

∠WYX ≅ ∠DYC

don’t have a calculator

Answers

2.8 homie


YUH it’s the answer

Answer:

2.8

Step-by-step explanation:

the dude on the top is right :D

Laney and Maka are tutors. Laney charges $10 for travel expenses plus $32 per hour of tutoring. The dollar amount Maka charges can be modeled by the equation F=30h+14, where h represents the number of hours that Maka tutors and F represents the total amount earned. What is the difference in the total amount Laney and Maka each charge for 4 hours of tutoring?

Answers

Answer: Total amount earned by Laney in 4hour=$138

Total amount earned by Maka in 4hours=$134

Difference =$4

Step-by-step explanation:

Since

Maka charges can be modeled by the equation F=30h+14,

where h =number of hours that Maka tutors

F = the total amount earned. Following same model

With 14 being the charge in dollar for travel expenses.

Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as

F= 32h +10

Such that total amount earned by

Maka in 4hours gives

F=30h+14

F=30x4 +14

F=120+14=$134

In the same vein the total amount earned by Laney in 4hours gives

F=32h+10

F= 32x4+10

F=128+10=$138

The difference in money earned by Laney and Maka = $138-$134= $4

Mrs. Williams put $500 into a retirement account that earns 4% interest. How long will it take for there to be $3,500?
What is the A value?
What is the B value?
What is the equation and answer?

Answers

9514 1404 393

Answer:

  A = 500

  B = 1.04

  49.6 years

Step-by-step explanation:

We assume your 'A' and 'B' refer to parameters in an exponential formula of the form ...

  y = A·B^x

In this form, A is the initial investment value, $500. B is the growth factor, 1+4% = 1.04, assuming interest is compounded annually. We want to find x such that y=$3500.

  3500 = 500·1.04^x . . . . . fill in known values

  7 = 1.04^x . . . . . . . . . . . . . divide by 500

  log(7) = x·log(1.04) . . . . . . take logarithms

  x = log(7)/log(1.04) ≈ 49.61 . . . . divide by the coefficient of x

It will take about 49.6 years for there to be $3500 in Mrs. Williams's account.

SOMEONE PLEASE ANSWER THIS CORRECT AND ASAP PLEASE TAKE A PICTURE OF IT AND DO IT FROM THERE TO POINT THE RED DOTS SO ITS NOT CONFUSING AND I CAN SEE HOW I CAN PUT IT ON AND PLEASE JUST HELP ME I WILL GIIVE YOU A GOOD RATE, GIVE YOU A THANKS, AND MARK YOU BRAINLIEST JUST ASNWER THIS CORRECTLY AND ASAPPPPPPPP PLEASE!!!!!!!!!! I KNOW I POSTED THIS AGAIN BUT THIS IS PAST DUE AND I NEED SO MUCH HELP THIS IS THE LAST ONE!!!!

Answers

anaphase

when replicated chromosomes are split and the newly-copied chromosomes (daughter chromatids) are moved to opposite poles of the cell.
The answer is Anaphase

Can someone help me asap

Answers

it’s 75! 65+40= 105 then 180-105= 75

Answer:

75 degrees

Step-by-step explanation:

All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

180=65+40+x

180=105+x

Subtract both sides by 105

180-105=105+x-105

75=x

Therefore, angle C has a measure of 75 degrees.

I hope this helps!

What is the measure of angle b?

Answers

Answer:

b=36

Step-by-step explanation:

by triangle exterior theorem

b+81 = 117

b=36

Answer:

B is 36 degrees, and a is 63 degrees

Step-by-step explanation:

180 - 117 = 63

a = 63 degrees

81 + 63 + b = 180

144 + b = 180

180 - 144 = b

36 degrees = b

A rhombus has side of length 60 units each and the lengths of its perpendicular diagonals are in the ratio of 2 to 1. What is the area of the rhombus, in square units?

Answers

Answer:

2880 square units

Step-by-step explanation:

Since the area of a rhombus, A = d₁ × d₂/2 where d₁ and d₂ are its diagonals. Given that d₁:d₂ = 2:1, d₁/d₂ = 2/1, so d₁ = 2d₂. Also, the length of side of the rhombus L = 60 units.

We find the length of the diagonal by Pythagoras' theorem since the diagonals are perpendicular to each other and bisect each other at their mid point.

The mid point of d₁ = d₁/2 and the midpoint of d₂ = d₂/2.

By Pythagoras' theorem,

L² = (d₁/2)² + (d₂/2)²

L² = d₁²/4 + d₂²/4

Now, d₁ = 2d₂

So, L² = (2d₂)²/4 + d₂²/4

L² = 4d₂²/4 + d₂²/4

L² = d₂² + d₂²/4

L² = 5d₂²/4

d₂² = 4L²/5

taking square root of both sides,

√d₂² = √(4L²/5)

d₂ = 2L/√5

Since L = 60 units, then

d₂ = 2L/√5

d₂ = 2(60)/√5

d₂ = 120/√5

rationalizing the denominator by multiplying the numerator and denominator by √5, we have

d₂ = 120/√5 × √5/√5

d₂ = 120√5/5

d₂ = 24√5 units

So, our area A = d₁ × d₂/2

Since d₁ = 2d₂, our area is

A = 2d₂ × d₂/2

A = d₂ × d₂

A = d₂²

substituting d₂ = 24√5, we have

A = d₂²

A = (24√5)²

A = (24)²(√5)²

A = 576 × 5

A = 2880 square units

if boards that usually cost $660 are selling at 1/6 less than the normal price, what is there price now? PLEASE ANSEWR TIMED!!!!

Answers

Answer:

$554.40

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

1/6 x 660

The surface area of this triangular pyramid whose bases and lateral faces are congruent equilateral triangles is

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangular pyramid is a pyramid with a triangular base. It is a polyhedron (3 dimensional shape) composed of four triangular faces, six straight edges, and four vertex corners.

The surface area of a triangular pyramid with congruent equilateral triangles = 4 * area of one triangle

Area of one triangle = (1/2) * base * height  = (1/2) * 15 in * 13 in = 97.5 in²

Surface area of pyramid = 4 * 97.5 in² = 390 in²

Can all polynomials be factored?

Answers

Answer:

yes they can

Step-by-step explanation:

A person invests 1500 dollars in a bank. The bank pays 4% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 1800 dollars?

Answers

Answer:

4.6 years

Step-by-step explanation:

We are to calculate the time in years.

The formula is given as:

t = ln(A/P) / n[ln(1 + r/n)]

Where:

A = Amount after t years = 1800

P = Initial Amount invested = 1500

r = Interest rate = 4%

n = Frequency at which the interest was compounded = Annually = 1

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(1,800.00/1,500.00) / ( 1 × [ln(1 + 0.04/1)] )

t = 4.649 years

Approximately = 4.6 years

ARE THESE FUNCTIONS YES OR NO? PLS HELP ME

Answers

Only graph 5 is a function because if you do the vertical line test, you draw a vertical line anywhere on the graph. If the parabola crossed the line twice it would not be a function.
1 - Function
2 - Not a Function
3 - Function
4 - Not a Function
5 - Function
6 - Function

Find the inverse equation of y=3x-12

Answers

Answer:

[tex]f {}^{ - 1}(x) = \frac{x}{3} + 4[/tex]

Step-by-step explanation:

[tex]y = 3x - 12[/tex]

Flip the variables then solve for y

[tex]x = 3y - 12[/tex]

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

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

[tex]f {}^{ - 1} (x) = \frac{x}{3} + 4[/tex]

y=3x-12 (Rewrite the equation)
x= 3y-12 (switch the place of x and y)
x+12/3 = 3y/3 (divide 3 by both sides)
1/3x +4=y
y= 1/3x+4

Find the value of x and justify your answer

Answers

Answer: your question was to say that you were in the person that was in park today and i got a hold on the door and I got it back to you in the park and then I saw you on the way to your house to see if I was going back to the school to go get home with me so so we could go do that

Step-by-step explanation:

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

Find each missing angle of the trapezoid

Answers

Answer:

∠J = 107°

∠K =107°

∠L = 73°

∠M = 73°

Step-by-step explanation:

Angle J + angle M = 180°

(10x - 33) + (4x+17) = 180

simplify:

14x -16 = 180

14x = 196

x = 14

∠J = 10(14) - 33 = 107°

∠M = 4(14) + 17 = 73°

PLS HELP. URGENT!!!! I’ll give whatever points

Answers

1. Yes
2.yes
3.yes
4.yes
5. 2=100,3=80

Which answer choice best describes Saundra’s claim?

Answers

Where’s the answer choices ??
What are the choices?

Andrew is paid £250 a week. Each week, he shares his pay with his sister in the ratio 3 : 2 saves 12% of his share. How many weeks will it take Andrew to save £360?

Answers

Answer:

20 weeks

Step-by-step explanation:

The computation of The number of weeks it will take to save £360 is shown below:

Now  $250 should be divided into a ratio of 3:2

He keeps = 150

ANd, he gives her = 100

As he saves 12% of his share

i.e.

= 12% of 150

= 18

Now the number of weeks would be

= 360 ÷ 18

= 20 weeks

A right triangle is a triangle that includes one right angle, measuring 90 degrees. It doesn't matter which of the three angles is 90 degrees. As long as one of them is, it's a right triangle.


What does a triangle need to have in order to be a right triangle?
A.two sides of equal length
B.one 90 degree angle
C.one obtuse angle
D.three sides of equal length

Answers

I think the answer is B if it is pls give branliest

i need help with this i don’t understand

Answers

Answer:

15

measure of third side is = 25^2 - 20^2

= 625 - 400

= 225

= √225

= 15

hope it helps

A sweatshirt was on sale for 25% off the marked price. The sweatshirt regularly costs $55.00. What is the sale price of the sweatshirt? $
type your answer....

Answers

54.75 I believe!!!!!!!
Ans

$41.25

workings:

100%->$55.00

1%->$55.00÷100=$0.55

25%->$0.55×25=$13.75

100%-25%=75%

Price of sweatshirt during sale->75%->$55.00-$13.75=$41.25

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