Write the first terms of the sequence. Rule:start at 1/2,add1/3

Answers

Answer 1

Here are the first 3 terms of the sequence: 5/6, 1 1/6, 1 1/2

1/2+1/3=5/6
5/6+1/3=1 1/6
1 1/6+1/3=1 1/2

Related Questions

A square tile with sides of length 1 ft is divided into 4 equal sections as shown.

Write a multiplication equation showing how to calculate the area of the shaded square portion of the tile in square feet using fractions. Explain what each part of the multiplication represents in terms of the shaded square.

Answers

The shaded part represents 1/4 of the whole square, of which the area is 4/4 (1) ft^2. So, you need to find out 1/4 of 4/4. This can be done by doing 4/4 × 1/4 = 4/16 = 1/4. Therefore, the smareaof the shaded square is 1/4 ft^2.

write the equation in slope intercept form 2x-3y=6

Answers

Slope is 2/3
Y Intercept is -2

hope this helps

Slope intercept form is y = mx + b.

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

Hope this helps!

Need help with 3 and 4.

Answers

A) Problem 3

Answer: third option 11.5

Explanation:

1) Since this is a right triangle you can use the trigonometric ratios.

2) sin (α) = opposite-leg / hypotenuse

3) α = 35°; opposite-lge = x; hypotenuse = 20.

4) substitute values

sin(35°) = x / 20

5) Solve for x

x = 20 * sin (35°) = 11.47

6) Round to the nearest tenth: 11.5

Answer: third option 11.5

B) Problem 4

Answer: first option 8.3

Explanation:

1) Since it is a right triangle you can use trigonometric ratios

2) cos (α) = adjacent - leg / hypotenuse

3) α = 41°; adjacent - leg = x; hypotenuse = 11

4) Substitute values

cos (41°) = x / 11

5) Solve for x: x = 11 * cos (41°) = 8.30

6) Round to the nearest tenth: x = 8.3

Answer: 8.3

how many 1/2 cups servings of cereal are in 2 cups of cereal ?

Answers

There are 4 1/2 cups of cereal in 2 cups

Sheila works for a fishing company. She is paid $20 per day and an additional $2 for each lobster she catches. She wants to know how many lobsters she must catch in order to earn a total of at least $130 after five days of working.

Create an inequality on the number line with the tools provided which represents the number of lobsters that Sheila could catch to earn at least $130.

Answers

In five days, she would get $100 no matter what meaning she needs $30 in lobsters. 30/2 = 15 so the number of lobsters she needs to catch could be represented as x >= 15

income of $40,000paid $ 8,800 in federal income taxes. What fraction shows how much my parents spent on their federal taxes?

Answers

Hello,

If you want to find the fraction that was spent on taxes, you should put the amount of taxes over the total amount.

You would have 8800/40000.

This fraction can be reduced to 22/100 or 11/50. It could also be written as 22%.

Best of luck,
MrEQ

A piece of popcorn, on average, has a volume of 1.125 inches cubed. How many pieces of popcorn will fit in a bag that has a dimension of 5 inches by 3 inches by 7 inches?

Answers

To solve for this, we need to multiply all of our dimensions by each other, and then divide that product by the volume of a piece of the average popcorn.
5 x 3 = 15;
15 x 7 = 105.

105 / 1.125 = 93.33~.

This means that 93 (whole) pieces of popcorn will fit in a bag of 105 inches.

I hope this helps!

To find out how many pieces of popcorn will fit in a bag with dimensions of 5 inches by 3 inches by 7 inches, divide the bag's volume by the average volume of a popcorn piece.

To calculate the volume of popcorn that fits in the bag:

Calculate the volume of the bag: 5 in x 3 in x 7 in = 105 in³.

Divide the bag's volume by the average volume of a piece of popcorn (105 in³ ÷ 1.125 in³ = 93.33 popcorn pieces).

The surface area of the triangular prism is?

A. 540 Square Meters

B. 552 Square Meters

C. 576 Square Meters

D. 624 Square Meters

Answers

If I did my math right, the right answer should be that the surface area of this triangular prism is 576 square meters.

Final answer:

The area of a triangle with a base of 166 mm and height of 930.0 mm is found by converting the measurements to meters and using the formula A = 1/2 × base × height. It calculates out to be 0.07719 m² and should be reported as 0.0772 m² to match the least number of significant figures provided in the measurements.

Explanation:

To calculate the area of a triangle, you use the formula A = 1/2 × base × height. Given the base is 166 mm and the height is 930.0 mm, first, you need to convert the measurements to meters by dividing them by 1000 (since there are 1000 millimeters in a meter), which gives us 0.166 m for the base and 0.930 m for the height. Then you plug these values into the formula:

A = 1/2 × (0.166 m) × (0.930 m)

So the area of the triangle is:

A = 1/2 × 0.15438 m²

A = 0.07719 m²

This result should be reported with the proper number of significant figures. Given that the base was provided to three significant figures and the height to four, the area should also be reported to three significant figures since the number of significant figures in the answer is determined by the measurement with the fewest significant figures. Therefore:

Area = 0.0772 m²

Which number is an irrational number?

A: 0.12

B: 0.1257486

C: 0.12121212

D: 0.111111

Answers

An irrational number is a number that can not be expressed as a rational number(a whole number, repeating decimal number, and a fraction that is rational.)
So 0.1257486 is the answer.

Final answer:

The irrational number in the given options is C: 0.12121212, as it repeats the sequence '12' infinitely without any pattern.

Explanation:

An irrational number is a number that cannot be expressed as a simple fraction (i.e. a ratio of two integers) and has an infinite number of non-repeating decimal places. Out of the given options, the number C: 0.12121212 is an irrational number because it repeats the sequence '12' infinitely without any pattern. The other options, A: 0.12, B: 0.1257486, and D: 0.111111, can all be expressed as fractions and have either a finite decimal representation or a repeating decimal pattern.

Pythagorean Theorem in Cones. Please help

Answers

3^2 + height^2 = 9^2

9 + height^2 = 81
height ^2 = 72

height = sqrt(72)

What is 2 * 4 + 8/7 - 2/5 (3 + 8)

No calculator plzz!!!

Answers

Hey there Banana!

[tex]simplify \ \frac{2}5} \\ \\ (8+ \frac{8}{7})-( \frac{2}{5} *11) \\ \\ simplify \ \frac{8}{7} \\ \\ \frac{8*7+8}{7} = \frac{64}{7} \\ \\ \\ \frac{L \ Mult \ *R \ num}{L.C.M} * \frac{64*5}{35} \\ \\ \frac{64*5-(22-7)}{35} = \frac{166}{35} \\ \\ (final \ result) \\ \\ \boxed{\boxed{ \frac{166}{35} =(4.74286)}} \\ \\ Hope \ this \ helps \ you![/tex]

2 * 4 + 8/7 - 2/5 (3 + 8) =

= 8 + 8/7 - 2/5 * 11

= 8 + 8/7 - 22/5

The LCD is 35.
We multiply the first fraction by 35/35, the second fraction by 5/5, and the third fraction by 7/7 to have a common denominator.

= 280/35 + 40/35 - 154/35

= 166/35

= 4 26/35

81 times a number minus 77 is equal to -77 less than the number

Answers

81 times a number minus 77 is equal to -77 less than the number 81x-77=x-77

Can someone plz help me with this question

Answers

A = L*W
A = (2r+3)*(r -4)
Use the distributive property, three times in total.
.. = 2r(r -4) +3(r -4)
.. = 2r^2 -8r +3r -12
Collect terms.
A = 2r^2 -5r -12

A 1 1/2-pound piece of turkey costs $7.98. A 6-ounce package of the same sliced turkey costs $2.49. What is the difference in price per 3-ounce serving?

Answers

The difference in price per 3-ounce serving package is $0.2475.

Price Per Serving Calculation

First, we need to determine the cost per 3-ounce serving for each type of turkey packaging. Since there are 16 ounces in 1 pound, a 1 1/2-pound piece of turkey is equivalent to 24 ounces.

Cost per ounce for the 1 1/2-pound turkey: $7.98 \/ 24 ounces = $0.3325 per ounce.

Cost per 3-ounce serving for the 1 1/2-pound turkey: $0.3325 x 3 = $0.9975.

The 6-ounce package costs $2.49, so:

Cost per ounce for the 6-ounce package: $2.49 \/ 6 ounces = $0.415 per ounce.

Cost per 3-ounce serving for the 6-ounce package: $0.415 x 3 = $1.245.

The difference in price per 3-ounce serving between the two types of turkey is: $1.245 - $0.9975 = $0.2475.

The function f(x)=square root -x is shown on the graph. Which statement is correct?

Answers

The domain of the the function f(x)=sqrt (-x) which has been shown in the graph is:
Domain:
{x ∈ R: x≤0}

This means that the domain is all non-positive real numbers.

The answer is:
d] The domain of the function is all real numbers less than or equal to 0.

Answer:

Step-by-step explanation:

i just did the test and got it right.

I neeeeed help please

Answers

17. You are supposed to use the perimeter formula for a rectangle. Your text has apparently written that formula as
.. P = 2w +2l
You are given values for P and l. Put them in the formula.
.. 6 = 2w +2*1
Solve in the usual way. First, subtract 2.
.. 4 = 2w
Then, divide by 2
.. 2 = w
You have found w, and it is 2.

_____
Personally, I like to write the perimeter formula for a rectangle as
.. P = 2(w +l)
Usng this version, we can fill in values and get
.. 6 = 2(w +1)
Dividing by 2 gives
.. 3 = w +1
Subtracting 1, we get
.. 2 = w

The area of a square is 144 in². What is the length of the square in feet?

Answers

the answer should be 1

The answer would not be 1. All you need to do is divide 144 by 12 to get 12. There is no possible way for it to be 1.

how do you do the formula a2+b2=c2

Answers

In the formula a^2 + b^2 = c^2, a is (most often) the height of the triangle, b is the length of the triangle, and c is the last side-length connecting a and b, called the hypotenuse. The formula states that a and b must form a 90 degree angle, and that a^2 + b^2 = c^2.

So, to find x in this triangle:

x^2 + 8^2 = 12^2
x^2 + 64 = 144
x^2 = 80
x = 8.94

Hope this helps!

The people who "consume" or use the travel product are called _____.
A---suppliers
B---consumers
C---intermediaries
D---distributors

IM TERRIBLE AT MATH
HELP PLEASE

Answers

I believe its B.

Hope this helps!

Answer:

B. Consumers literally read the question?

Step-by-step explanation:

Need some help. Find the distance of the line PQ.

I tried multiplying the radius by 2 but that’s not the answer :/ simple equation but I’m blanking

Answers

distance = sqrt (x2-x1)^2 + (y2-y1)^2

distance = 5

Gerald is saving money. His mom said that whatever he saves, sehe will give him $10 more. Which graph shows the amount Gerald will have if he saves d dollar?

Answers

No graph that I could see but if he saves one dollar and he gets ten more that means he would get eleven dollars

How to define, “Greatest common factor.” Please Help.

Answers

The greatest common The greatest common factor in my words: The greatest of the common factors of two or more numbers.

Funny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frig population after years?

Answers

Each year the frog population is multiplied by (1-3%) = 97% = 0.97. The function that represents the frog population can be written as
.. p(t) = 1200*0.97^t

Algebra 1
The sum of two numbers is 186. The difference between the same numbers is 32. what are the two numbers?

Answers

[tex]x + y = 186 \\ y - x = 32 \\ 2x = 186 - 32 \\ 2x = 154 \\ x = 77 \\ y = 77 + 32 = 109[/tex]
X is 77
Y is 109

Angle JKL and MKQ are complementary angles.
The measure if angle JKL is twice the measure of angke MKQ.
Write one equation to find x, the measure if angle MKQ, and then solve for x
Enter your equation and your solution in the space provided

Answers

Hi, to answer this question you need to know that complementary angle will add up to 90 degrees. If the angle of MKW is x, then angle JKL is 2x (twice the measure). The sum of both of these would be 90°. You can show this as x + 2x=90. Simplify this to 3x=90. Then divide by 3 on both sides to get x=30 degrees.

The equation of the complementary angles can be represented as 2x + x = 90° and the measure of ∠MKQ is 30 degrees.

What are complementary angles?

Complementary angles are angles that sum up to 90 degrees. The angles complement each other.

Therefore,

∠JKL + ∠MKQ = 90°

let

∠MKQ = x

Hence,

∠JKL = 2x

Therefore,

2x + x = 90°

3x = 90

divide both sides by 3

3x / 3 = 90 / 3

x = 30

learn more on complementary angles here:https://brainly.com/question/5366669

#SPJ2

The ratio of vertical change to the horizontal change is called _________.
A. The slope
B. Translation
C. The y intersept

Answers

I think the ratio of a vertical change to the horizontal change is called slope.

Answer:

slope

Step-by-step explanation:

Rounding 9 1\3 to the nearest whole number

Answers

The answer is 9 because one third is closer to 0 then 1

The answer is 28/3
Have an nice day

justin can type w words per minute. melvin can type 4 times as many words as justin. write an expression that represents the rate at which Melvin can type

Answers

m = Words per min that Justin can type
w = Words per min that Melvin can type
w = m*4

Melvin's typing rate can be expressed as 4w words per minute by multiplying Justin's rate by 4.

To determine how many words Melvin can type per minute, we need to use Justin's typing rate as a reference.

Since Justin can type w words per minute, and Melvin can type 4 times as many words as Justin, we multiply Justin's rate by 4.The expression for Melvin's typing rate is 4w words per minute.

For example, if Justin types 50 words per minute (w = 50), then Melvin would type 200 words per minute (4 * 50 = 200).

A square has a side length of 6.2 centimeters. What is the perimeter of the square

Answers

P=24.8cm good luck o hehee

6.2+6.2+6.2+6.2 sine a square has 4 sides it equals 24.8.

Rewrite each expression using each base only once.

(-6)^12 * (-6)^3 * (-6)^2

2^2 * 2^7 * 2^0

Simplify each expresion.

5c^4 * c^6

(-2.4n^4)(2n^-1)

(4c^4)(ac^3)(-3a^5c)

a^6b^3 * a^2b^-2

Answers

Rewrite each expression using each base only once.

(-6)^12 * (-6)^3 * (-6)^2
(-6)^(12+3+2)
(-6)^(17)
Answer:
(-6)^(17)

2^2 * 2^7 * 2^0
(2)^(2+7+0)
(2)^(9)
Answer:
(2)^(9)

Simplify each expresion.

5c^4 * c^6
5*c^(4+6)
5*c^(10)
Answer:
5*c^10
(-2.4n^4)(2n^-1)
(-2.4*2)(n^4)(n^-1)
(-2.4*2)(n^(4+(-1))
(-4.8)(n^(4-1))
(-4.8)(n^(3))
Answer:
(-4.8)(n^(3))

(4c^4)(ac^3)(-3a^5c)
((4)*(-3))*(c^(4+3+1))*(a^(1+5))
(-12)*(c^(8))*(a^(6))
Answer:
(-12)*(c^8)*(a^6)

a^6b^3 * a^2b^-2
(a^(6+2))*(b^(3+(-2)))
(a^(8))*(b^(3-2))
(a^(8))*(b^(1))
(a^8)*(b)
Answer:
(a^8)*(b)

Other Questions

The feeling of a partnership in which employees feel responsible for their jobs and have a stake in the organization's success" is known as: apprehension A tree on a hillside casts a shadow c = 235 ft down the hill. if the angle of inclination of the hillside is b = 16 to the horizontal and the angle of elevation of the sun is a = 46, find the height of the tree. (round your answer to the nearest foot.) Looking at the stoichiometry of the reaction (see the lab manual), how many moles kmno4 must have been delivered by the buret to react with that much fe(nh4)2(so4)2 6h2o? 8h+ + 5fe+2 + mno4 - --> mn+2 + 5fe+3 + 4h2o In jan steen's the feast of saint nicolas, he alluded to ____ by using children's activities to comment on adult behavior. why does biodiversity contribute to a habitats sustainability what is the square root of 64 multiplied by 72 divided by the sum of 43 plus 0 Find the area of the shaded region? A uniform bridge 20.0m long and weighing 4.00 x 10^5 N is supported by two pillars located 3.00m from each end. If a 1.96 x 10 ^4N car is parked 8.00m from one end of the bridge. How much force does each pillar exert? A cake recipe suggests a cooking temperature of 325 F if the batter is less than one inch thick and 350 F if the batter is more than one inch thick. If the cake batter has a volume of 110 in3 and your cake pan is 9 inches by 11 inches, what does the oven need to be set at if the oven temperature settings are in degrees Celsius? (round to nearest whole number) A)140 C B)163 C C)177 C D)190 C What is the meaning of His hands are like vises Choose the statements that CORRECTLY describe the voting process in Georgia.In order to vote in Georgia you must first register to vote.In order to vote, you have to be a resident in any county that borders the location at which you are voting.You must be at least 17 1/2 when registering to vote.You must be at least 17 1/2 on Election Day when voting.People who are serving jail time for a felony are not allowed to vote.Only people who vote in a Primary Election are allowed to vote in the General Election.You must be able to drive in order to vote. Yvette earned $66.00 for 8 hours of work. Lizbeth earned $68.80 working the same amount of time. How much more per hour did Lizebeth earn than Yvette please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! The system of equations is graphed on the coordinate plane. y=12x1y=14x4 A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3). Enter the coordinates of the solution to the system of equations in the boxes. ( , ) HELP!!!!!!!!!!!!!To solve the equation 3x2=4x1 , Veronica graphs the functions f(x)=3x2 and g(x)=4x1on the same set of coordinate axes.Which statement describes the solution of the equation 3x2=4x1? (A) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect. (B) The solution of the equation cannot be found graphically. Veronica should solve the equation algebraically. (C) The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect. (D) The solution of the equation is the y-intercept of the linear equations. A potassium ion (K+) would most likely bond with _____. Mg+ Na+ Cl- O Your friends are worried because their newborn sleeps 16 or 17 hours a day. what would you tell them? PLEASE HELP! Scan the poetic meter in the following line by placing the accent mark ( ' ) over stressed syllables and the breve () over unstressed syllables.On a high hill far away stood an old rugged cross which statement accurately describes what happens when ice melts in terms of energy How many oxygen atoms are there in 6.00 g of sodium dichromate, na2cr2o7?