Find the common difference of the arithmetic sequence –8, -2, 4, ...

Answers

Answer 1

Answer:

              d = 6

Step-by-step explanation:

[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]


Related Questions

Park rangers at a game preserve in Africa observed a cheetah run 3

3

5

miles in

1

20

hour. What was the cheetah’s speed in miles per hour (mph)?

A.

9

50

mph

B. 5

5

9

mph

C. 72 mph

D. 92 mph

2

Among other ingredients, a recipe for paella calls for

3

4

pound of chorizo and

1

2

cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?

A.

3

10

pound of chorizo per cup of rice

B.

8

15

pound of chorizo per cup of rice

C. 1

7

8

pound of chorizo per cup of rice

D. 3

1

3

pound of chorizo per cup of rice

3

Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown

2

3

foot in

3

4

year. What is the tree’s growth rate in feet p

Answers

Answer:

Cheetah's speed = 2.79 miles per hour

Step-by-step explanation:

Speed = Distance / Time

Distance = 335 miles, Time = 120 hours

So, speed = 335 / 120

Speed = 2.79 mph

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Answers

Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

^-^ hope this helps! (●´ω`●)

How many times bigger is 2 1/4 than 2

Answers

Answer:

1 1/8

Step-by-step explanation:

Divide 2 1/4 by 2.

hi can somebody answer this rlly quickly

Answers

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

ANSWER PLSSS THANK YOUUUUU

Answers

Answer:

As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%

Step-by-step explanation:

Count the blocks and convert (you can also use an array.) Hope this helps you!

Answer:

Fraction: 81/100

Decimal: 0.81

Percent: 81%

Step-by-step explanation:

The box is a 10x10 so it has 100 squares inside.

There are 81 squares shaded so the fraction would be 81/100

To get the decimal just divide 81 by one hundred so the decimal is .81

As a percent is would be 81%

Hope this helps ya!!

Evaluate the expression. 2. (3^6.3^-5)​

Answers

Answer:

1.00000

Step-by-step explanation:

Well I'm not sure what that upside down V is

Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving.

Answers

Answer:

4/15 < 5/16

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

Step-by-step explanation:

Given the unit rates :

C: 1/5 cup for 3/4 serving or Ingredient

D: 1/4 cup for 4/5 serving

C : 1/5 cup for 3/4 serving

1/5 ÷ 3/4

1/5 * 4/3

= 4 / 15

= 0.2667

D: 1/4 cup for 4/5 serving

1/4 ÷ 4/5

1/4 * 5/4

= 5 / 16

= 0.3125

5/16 > 4/15 ;

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

Can Anybody Help With Geometry?

Answers

Answer:

SAS

Step-by-step explanation:

Side Angle Side: It shows only one angle and shows that 2 sides are congruent.

Answer:

It is SAS. Please mark brainliest.

Step-by-step explanation:

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) What is the distance from the sun to Venus written in scientific notation?

• [Please make sure to include your units]

(b) What is the diameter of a human hair written in scientific notation?

• [Please make sure to include your units]

(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?

Answers

Step-by-step explanation:

It is given that,

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) In scientifc notation, the distance from the Sun to Venus will be :

There are 8 numbers before 1. It means

d = 1.08 × 10⁸ km

(b) In scientific notation, the diameter of a human hair will be :

There are 3 numbers after decimal. It means

D = 2.5× 10⁻³ mm

(c) Before comparing two measurements, both values must be converted into the same units.

Since, 1 mm = 10⁻⁶ km

D = 2.5× 10⁻³ × 10⁻⁶ km

= 2.5 × 10⁻⁹ km

For comparison divide the distance from the Sun to Venus and the diameter of a human hair.

[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]

Hence, this is the required solution.

Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?

Answers

Answer:

The difference between the high and low temperatures is 29°F

Step-by-step explanation:

Subtraction

The high temperature in Denver, Colorado was 25°F on Monday.

The low temperature was -4°F in the same place.

We are required to find the difference between the high and low temperatures.

We need to subtract 25 and -4:

Difference = 25°F - (-4°F)

Note we change the sign of the subtraction multiplying (-1) by (-1);

Difference = 25°F + 4°F

Difference = 29°F

The difference between the high and low temperatures is 29°F



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:a

Step-by-step explanation:

X+y=8
Y=3x

Solve with substitution

Correct answer gets Brainliest!!

Answers

Answer:

x=2, y = 6

Step-by-step explanation:

We see that y = 3x so we can substitute the y in x + y = 8.

x + 3x = 8.

Combine like numbers:

4x = 8.

Divide both sides by 4.

x = 2

Now plug in x to find y

2 + y = 8

Subtract 2 from both sides.

y = 6

1) Which of the following is NOT a property of reflection?
A)distance between points is preserved (stays the same)
B)angle measure is preserved (stays the same)
C)pre-image and image are congruent
D)orientation is preserved (stays the same)

Answers

Answer:

orientation is preserved (stays the same)

Step-by-step explanation:

Sam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10

Answers

Answer:

b is the answer of this puestion

Could someone give me some input on why in part B 10 to the power of 3 is included in the equation to obtain the answer 1.47 x 10 to the power of 11

Answers

Answer:

10^3 = 1000. Look at the question carefully. it says the speed is in meters per second while your distance is in kilometers so yeah need to multiply by 1000

10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9

Answers

Answer:

First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well

Step-by-step explanation:

The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?

Answers

Answer: The highest recorded temperature was 38 degrees.

Step-by-step explanation:

Given: The coldest temperature last December was –18.24 degrees.

Difference between this and the highest recorded temperature=

56.24 degrees

The highest recorded temperature = coldest temperature + difference

= -18.24+56.24 degrees

= 38 degrees

Hence, the highest recorded temperature was 38 degrees.

What is the binary number for 26​

Answers

the binary number for 26 is 11010

¿Cuáles son los términos de la expresión
algebraica 5p + 4?
A: 4
B: 5p
C: +

Answers

Answer:

A, B

Step-by-step explanation:

Los términos están separados por +, -, / o x.

For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many will be needed?How many rubber bands will be left over?

Answers

Answer:

40 rubber bands are needed

5 rubber bands will be left from 5 bags of of rubber band

Step-by-step explanation:

Each student will need five rubber bands.

There are eight students

Total rubber bands needed = rubber bands per student × number of students

= 5 × 8

= 40

Total rubber bands needed = 40

Rubber bands come in bags of nine.

Number of bags needed = Total rubber bands needed / number of rubber bands in each bag

= 40 / 9

= 4.44 bags

It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5

5 rubber bands bags will be bought which = 5 × 9

= 45 rubber bands

Only 40 rubber bands are needed

Left over rubber bands = 45 - 40

= 5 rubber bands

When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°

angle of depression. How far away was Ren from her family (ground distance)? Round to the

nearest tenth of a meter.

Write answer like this: ##.# m.

(5 Points)

Enter your answer

Answers

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = [tex]90^{o}[/tex] - 20°

                             = [tex]70^{o}[/tex]

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]

⇒ x = 10 x Tan [tex]70^{o}[/tex]

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

Solve the equation 186+10x=25.5x to find how many diving lessons


__ lesson(s)

Answers

Answer: x=12

Steps shown in image below:

Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin

Answers

Answer:

30

Step-by-step explanation:

Work backwards:

6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30

Check your work:

2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys left

HELPPPPPPPPPPPP
i give brainliest!

Answers

Answer:

C

Step-by-step explanation:

The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35

the answer is C hope this helps :)

PLS HELP ME ASAP!!!!

In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.​

Answers

Answer:

20 Km per hour.

What does (f+g)x mean?

Answers

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Function NotationCombining like terms

Alg II

Composite Functions

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

Plz help I will mark branindiest?

Answers

Answer:

the answer is on google

The drama club spent $8.50 per person on food for a cast party. The total cost of the food was $229.50. How many people were at the cast party?
A. 27 people
B. 221 people
C. 238 people
D. 1,951 people

Answers

$229.50/$8.50
= 27
27 people

Answer:

27

Step-by-step explanation:

btw just goo. gle the first 5 words with " at each end and it gives you the answer :)

not guaranteed, some dont have

Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.

Answers

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:


Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm

Answers

Answer:

D

Step-by-step explanation:

Refer to the picture that givem

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An important communication principle states ""prepare before you communicate."" How should this preparation manifest itself in the early work that you do? What work products might result as a consequence of early preparation? Choose the best real world exzample of convection:A. clouds forming in the atmosphereB. touching a warm cooking pot handleC. sitting in front of a warm fireplaceWHICH ONE IS THE ANSWER HELP PLESEEE Dussel has indirectly endangered our lives. He actually let Miep bring a forbiddenbook for him, one which abuses Mussolini and Hitler.What is the best meaning for the term forbidden?stolenillegalappealingnot recommended Gun ownership. To what extent might a believer of God defend himself against the physical threat to himself for his loved ones in this would today? Does it reconcile the commandments of God of prohibition of killings? "There is no liberty if the power of judging is not separated from legislative power and the executive power." Who most likely wrote the quote above and influenced our government structure to include a Legislative, Executive, and Judicial power?A john locke B Jean-jaquis Rousseau C Thomas Hobbes D Baron de montesquieu three less than the total of a number andnine The drama club spent $8.50 per person on food for a cast party. The total cost of the food was $229.50. How many people were at the cast party? A. 27 people B. 221 people C. 238 people D. 1,951 people please help1. 4e22 in scientific notation2. 2.9e-33 in scientific notation In an answer of at least two well-developed paragraphs, define the terms shortage and surplus and explain how each impact the prices of goods in the marketplace.I will make you brainliest and you'll get 25 points Thank youuu. I know its a lot but I really need help. PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:(( Could someone give me some input on why in part B 10 to the power of 3 is included in the equation to obtain the answer 1.47 x 10 to the power of 11 please help will give brainlyest again - ? Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving. what is carbogen and it's uses What is the binary number for 26 All of the following were causes of the Civil War EXEPT...PLEASE I HAVE 10 minutes Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin 1. The two key principles of the FITT Principle are _____________ and progression.2. Match up the terms with the correct definitions.Group of answer choices refers to increasing how often you exercise refers to increasing the difficulty of an exercise. (or duration) refers to increasing the length of each training session. refers to the kind of activity a person chooses for each area of his or her training program. A) time B) type C) intensity D) frequency Park rangers at a game preserve in Africa observed a cheetah run 335 miles in 120 hour. What was the cheetahs speed in miles per hour (mph)?A.950 mphB.559 mphC.72 mphD.92 mph2Among other ingredients, a recipe for paella calls for 34 pound of chorizo and 12 cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?A.310 pound of chorizo per cup of riceB.815 pound of chorizo per cup of riceC.178 pound of chorizo per cup of riceD.313 pound of chorizo per cup of rice3Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown 23 foot in 34 year. What is the trees growth rate in feet p