Find the missing terms in the arithmetic sequence 1, __, __, __, 29,...

Answers

Answer 1

9514 1404 393

Answer:

  8, 15, 22

Step-by-step explanation:

The sequence has ...

  a1 = 1

  a5 = 29

__

The generic formula for an arithmetic sequence is ...

  an = a1 +d(n -1)

Filling in the known information, we can find d:

  29 = 1 + d(5 -1)

  28/4 = d = 7

The terms of the sequence have a common difference of 7, so each is 7 more than the one before. The first five terms are ...

  1, 8, 15, 22, 29

The missing terms are 8, 15, 22.


Related Questions

Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?

Answers

Question:

Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?​

Answer:

[tex]x \le 18[/tex]

Step-by-step explanation:

Given

[tex]Border\ Material = 72[/tex]

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then

[tex]4y = 72[/tex] -- i.e. the perimeter of the border material

Solve for y

[tex]y =\frac{72}{4}[/tex]

[tex]y =18[/tex]

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

[tex]x \le y[/tex]

Substitute [tex]y =18[/tex]

[tex]x \le 18[/tex]

In rugged terrain, Martin can hike 1/8 Mile in 1/2 hour. At this rate, how far can Martin hike in 1 hour?
A. 5/8 mile
B. 1/16 mile
C. 1/4 mile
D. 1/6 mile​

Answers

1/4 mile because if martin is able to walk 1/8 mile in half an hour then what you do is add 1/8+ 1/8 which gets 1/4 mph

Select two answer choioces

Answers

Answer:

C or 3rd option

Step-by-step explanation:

1/3 - 2/5

15/15 - 6/15

9/15

B is not correct

2/5 - 1/3

this will be a negative answer

Write in word form:

436,783,210

Answers

Answer:

Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten

Step-by-step explanation:

four hundred and thirty six

seven hundred and eighty three

two hundred and ten

Step-by-step explanation:

Which algebraic representation
should be used to find the
coordinates for Figure JKLM, the
reflection of Figure JKLM over
the y-axis?
A (x, y) = (x, y)
B (x, y) = (x,-)
C (x, y) (-, -y)
D (x, y) (-, y + 1)

Answers

The answer I think is D

What is the area of the shaded region

36
9
52
27

Answers

Answer:

36

Step-by-step explanation:

Length x width = area (6 x 6 = 36). Hope this helps.

1. -4(x + 3) = 8
+
= 8
+
= 8
=
X
X=

Answers

Hello! :)

1.-4(x+3)=8

-4(x+3)=8

(x+3)= -2

x=(-5)

☆GOOD LUCK!☆  

Kenji deposited $10 in a savings account earning 10% interest, compounded annually.

To the nearest cent, how much will he have in 3 years?

Answers

0.3 so yea i guess....

Answer:

Step-by-step explanation: 380

Oliver drove 278 miles in 4 hours how much hours does it take him to drive 139 miles

PLSSS HELP

Answers

Answer:

34.75 i think

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2 \ hours}}[/tex]

Step-by-step explanation:

Let's set up a proportion to solve. Use the following setup:

[tex]\frac {hours}{miles}=\frac{hours}{miles}[/tex]

We know that it takes Oliver 4 hours to drive 278 miles.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}[/tex]

We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}[/tex]

[tex]\frac {4 }{278 }=\frac{x \ hours}{139 }[/tex]

We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.

[tex]139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139[/tex]

[tex]139*\frac {4 }{278 }={x }[/tex]

[tex]2=x[/tex]

It takes Oliver 2 hours to drive 139 miles.

Please need help nowwwwww helpppppp

Answers

first: 1:2
second: 16:15
third: 1:3

In the figure name ALL the angles that are congruent to angle 8.

Answers

The angels that are congruent to 8 are 6, 3, 1.

1.55y-(5y-17)/100=0.02

Answers

Multiply both sides by 100
1.55y -(5y-17)/100 * (100) = (0.02)*(100)
1.55y -(5y-17) = 2

Simply both sides of the equation
-3.45y + 17 = 2

Subtract 17 from both sides
-3.45y + 17-17 = 2-17
-3.45y = -15

Divide both sides by -3.45.
-3.45y = -15
-3.45 -3.45

y = 4.347826

the area of a rectangle is the same as the area of a square of side 12cm if the rectangle is 16cm long find its width​

Answers

Answer:

9

Step-by-step explanation:

first find the square's area by multiplying 12 × 12 to get 144

then divide 144 ÷ 16 to find the width which is 9

HELPPP ITS A TESTAKAJNSDUJSWMNS

Answers

Answer:

5^6

Step-by-step explanation:

by the law of exponents,

5^2 * 5^(-8)

5^ [2+ (-8)]

5^(2-8) = 5^-6 = 1/5^6 = 5^6

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4

Answers

Given:

PQRS is a rectangle.

X is the midpoint of SR.

To find:

The measure of QX.

Solution:

It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.

Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.

The diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:

[tex]d=4\sqrt{2}[/tex]

[tex]d=5.656854[/tex]

[tex]d\approx 5.7[/tex]

Therefore, the measure of segment QX is about 5.7 units.

Abigail and her children went into a movie theater and she bought $71.50 worth of
drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a
total of 16 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Abigail bought.

Answers

Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10.

There are 4 games at the carnival Kevin played all the games in 40 minutes how many minutes did he spend at each games if he spent an equal amount of time at each

Answers

10 idek 4 times 10 is 40 right?

2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of variation and write an equation to represent the relationship.​

Answers

Answer:

Constant of variation: $8.25

Equation: y=8.25x

Step-by-step explanation:

231/28=8.25

Answer:8.25

Step-by-step explanation:

231/28

prove that √p is an irrational number , if p is not a perfect square.​

Answers

[tex] \huge \frak \green{question}[/tex]

prove that √p is an irrational number , if p is not a perfect square.

[tex] \huge \frak \red{answer}[/tex]

Let us assume, to the contrary, that √p is rational. So, we can find coprime integers a and b(b ≠ 0) such that :-

=> p = a/b

=> √p b = a

=> pb² = a² ….(i) [Squaring both the sides]

=> a² is divisible by p

=> a is divisible by p So, we can write a = pc for some integer c.

Therefore,

a² = p²c² ….[Squaring both the sides]

=> pb² = p²c² ….[From (i)]

=> b² = pc²

=> b² is divisible by p

=> b is divisible by p

=> p divides both a and b.

=> a and b have at least p as a common factor.

But this contradicts the fact that a and b are coprime. This contradiction arises because we have assumed that p is rational. Therefore, p is irrational.

_____________________________________

[tex] \bold \green{i \: hope \: it \: is \: helpful}[/tex]

________________________________

A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?

Answers

Answer:

the perimeter is 28

Step-by-step explanation:

2+2=4

12+12=24

24+4=28

Answer:

Perimeter = 28 feet

Step-by-step explanation:

The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement

12 * d = 24

d = 24/12

 d = 2

So the missing dimension is 2 feet

Now we simply find the perimeter of the rectangle  using the formula

   2 ( length + width)

 = 2 (12 + 2 )

           = 2 ( 14 )

           = 28 feet

 

In the triangle above, the measure of A is 66°, and the measure of B is 68°. What is the measure of C?

Answers

Answer:

46°

Step-by-step explanation:

Given that :

Angle, A = 66°

Angle B = 68°

The sum of angles in a triangle is given by :

A + B + C = 180° (sum if angles una triangle)

66° + 68° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

Hence, angle C is 46°

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

the height is 9.8 cm

Step-by-step explanation:

71.54 ÷ 7.3 = 9.8

what angle does an arc 6.6cm on length subtends at the centre of a circle of radius 14cm? take
[tex]\pi = 22 \7[/tex]​

Answers

Given:

Arc length = 6.6 cm

Radius = 14 cm

To find:

The angle subtended by the arc at the center.

Solution:

The formula for arc length is:

[tex]s=2\pi r\dfrac{\theta}{360}[/tex]

Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in degrees.

Putting [tex]s=6.6,\pi=\dfrac{22}{7},r=14[/tex],we get

[tex]6.6=2\times \dfrac{22}{7}\times 14\times \dfrac{\theta}{360}[/tex]

[tex]6.6=88\times \dfrac{\theta}{360}[/tex]

[tex]\dfrac{6.6}{88}\times 360=\theta[/tex]

[tex]27^\circ=\theta[/tex]

Therefore, the measure of the central angle is [tex]27^\circ[/tex].

is negitive -2.5 greater than -3

Answers

Answer:

yes

Step-by-step explanation:

–2.5 is greater than –3, because –2.5 lies to the right of –3 on the number line.

Distributive Property to solve the equation. 5(x - 6) + 8 = 7x- 8 (Type the value of x.) ​

Answers

x = -7, have a good day !

Answer:

x=−7

Solving for X:

Step 1: Simplify both sides of your equation.

5x−22=7x−8

Step 2: Subtract 7x from both sides.

5x−22−7x=7x−8−7x

−2x−22=−8

Step 3: Add 22 to both sides.

−2x−22+22=−8+22

−2x=14

Step 4: Divide both sides by -2.

-2x/-2 = 14/-2

^ x = -7

THEREFORE:

x is −7

3x+3/2=x/2-6 maths chapter

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

3x+3/2=x/2-6

=6x+3/2=x-12/2

=2x-24=12x+6

=2x-12x=6+24

= -10x=30

= -3

Find the Volume if the height is 10 cm and radius 3 cm? Round to the nearest
whole number

Answers

[tex]282.8cm pa brainlest po[/tex]

I'm stuck on this question.

Answers

Answer:

Fred's total net worth is $61,900

Step-by-step explanation:

For net worth, add assets together and then subtract the liabilities from the total:

90,000 + 12,500 + 20,200

122,700 - (53,000 + 5,800 + 2,000)

61,900

Answer:

$61,900

Explanation:

Add all the assets: 90000 + 12500 + 20200 = 122700

Add all the liabilities: 53000 + 5800 + 2000 = 60800

Total assets - liabilities: 122700 - 60800 = $61900

Which features are correctly stated? There is more than one answer.

Answers

hope this helps-

y= (x+2)2-3

Answer of this please BOTH!!

Answers

Answer:

1. True

2. 40.96

Step-by-step explanation:

Can provide if needed

Answer:

Question 4:True

Question 5: 40.96

Step-by-step explanation:

Question 4: 7.4 times 5.2 dived by 2.

Question 5: 6.4 x 6.4.

Please give me Brainliest (:.

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