What are the first three terms of the Arithmetic Sequence an = 12 – 2(n – 1)?
Group of answer choices

11, 10, 9

12, 10, 8

0, 10, 20

1, 2, 3

Answers

Answer 1

Answer:

The first 3 choices are:

12, 10, 8

Step-by-step explanation:

n represents a variable, in which you start at 1 and increase by 1.

So, we first start at 1.

12 - 2(1 - 1) = 12 - 2(0) = 12

Now, 2.

12 - 2(2 - 1) = 12 - 2(1) = 10

Now, 3.

12 - 2(3 - 1) = 12 - 2(2) = 8

So, we result in 12, 10, and 8.

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Answer 2

Answer:

B

Step-by-step explanation:

an = 12  - 2(n - 1)

a1 = 12 - 2(0)

a1 = 12

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

a2 = 12 - 2(2 - 1)

a2 = 12 - 2

a2 = 10

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

a3 = 12 - 2(3-1)

a3 = 12 - 2*2

a3 = 8

I think B must be the correct answer. I don't think you can start with n = 0 but the question should qualify that.


Related Questions

Tom got on a scale while on a vacation in France and noticed he weighed 75 kg. He read in a guidebook that 1 lb. = 0.45 kg. How much does Tom weigh in pounds​

Answers

Answer:

166.67 pounds

Step-by-step explanation:

Set up a proportion where x is Tom's weight in pounds:

[tex]\frac{75}{x}[/tex] = [tex]\frac{0.45}{1}[/tex]

Cross multiply and solve for x:

75 = 0.45x

166.67 = x

So, Tom weighs approximately 166.67 pounds

If two sides of a triangle are 7 and 14, the third side may be?

Answers

Nothing above 21...

Solve five ninths minus two sixths

options:

twelve fifty fourths

twenty fifty fourths

six thirds

three over one

Answers

The answer would be 12/54 (twelve fifty fourths) but if you simplify it you would get 2/9 (two ninths).

3.3^(2x+1)-103^x+1=0 need value of x

Answers

Answer:

The value of [tex]x[/tex] is approximately -1.531.

Step-by-step explanation:

Let [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex], we proceed to solve this expression by algebraic means:

1) [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex]  Given

2) [tex]3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

3) [tex](3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

4) [tex](3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/Commutative property

5) [tex]\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0[/tex] Existence of multiplicative inverse/Definition of division/Modulative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}[/tex] Existence of additive inverse/Modulative property/[tex](a^{b})^{c} = a^{b\cdot c}[/tex]

7) [tex]\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}[/tex] Definition of logarithm.

8) [tex]2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}[/tex]     [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]

9) [tex]2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3[/tex]      [tex]\log_{b} \frac{a}{d}[/tex]

10) [tex]x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3[/tex]     [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]/Associative property

11) [tex]x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}[/tex]   Existence of multiplicative inverse/Definition of division/Modulative property

12) [tex]x \approx -1.531[/tex]  Result

The value of [tex]x[/tex] is approximately -1.531.

. Ruiz wants to buy a coffee machine that costs
$45.00. How much would the cashier give Ruiz if she
gives the cashier a $100 bill?

Answers

Ruiz would get back 55 dollars 0 cents

He Should Get 55 Dollars Back

5) A student answered 81 problems on a test correctly and received a grade 90%.
How many problems were on the test, if all the problems were worth the same
number of points?

Answers

Answer:

90

Step-by-step explanation:

81/x=90/100

8100=90x

90=x

The total number of problems given in exam was 90.

PercentageWhat is percentage?

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolised as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

How to calculate percentage?

Divide one number by the other, then multiply the result by 100 to get the percentage of the two numbers.

Calculation for the total number of question given:

A student correctly answered 81 problems.

Grade received by student is 90%

Let the total number of question given in the test be 'x'.

Thus,

90% of x = 81

(90/100)x = 81

x = (81×100)/90

x = 90

Therefore, the total number of question allotted to the student is 90.

To know more about how to conver percent to fraction?, here

https://brainly.com/question/317717

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6) Calculate the slope of a line containing the points (-3,5) and (-7,11).

Answers

Slope: (y2-y1)/(x2-x1)
(11-5)/(-7+3) = 6/-4 = 3/-2
The slope is -3/2

slopev=

[tex]diffrence \: in \: y \: coordinate \\ diffrence \: in \: x \: coordinate[/tex]

so

Y=11_5 =6

X = -7_(-3) = -4.

slope = (-4,6)

make as brainlist

The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?

Answers

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

What is 3/8 divided by 4/1

Answers

3/32 hope this helps ig

There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds

Answers

60 x 5 + 45 = 345 Seconds

The answer is 345 seconds I hope it helped

Can anyone help with this it is for Geometry

Answers

Answer:

three angle one slide

Step-by-step explanation:

Find the value of x

a)105°
b)85
c)75
d)25

Answers

Answer:

c) 75

Step-by-step explanation:

180-155 = 25

80+25+x=180

x = 75

Step-by-step explanation:

By Exterior Angle Theorem,

x = 155° - 80° = 75° (C).

Pretty please help!!!
The table shows the relationship of how many pounds of apples are needed to make a certain number of pies:
Number of pies: 5 10 15
Pounds of apples: 2 4 6

Answers

It’s really hard to see :(

`y=2x+1` was a positive slope because...

Answers

Step-by-step explanation:

.....because the coefficient of x is 2, a positive number.

2x+y=42
8x+7y=36
Using the process of eliminations.

Answers

Answer:

x=43,y=-44

Step-by-step explanation:

hey i hope it helps you

2x+y=42(7)

8x+7y=36(1)

14x+7y=294

8x+7y=36

6x=258

divide both sides by 6

x=43

to get y

2x+y=42

equate x=43

8(43)+7y=36

344+7y=36

344-36=7y

308=7y

divide both sides by 7

y=-44

Asap, show the shaded area of the graf of lines 7x+10y=70, x-2y=0, 2x+y=0...​

Answers

Answer:

The answer is i have no clue

What is the question ?

Find the slope of the line containing the points in the table below

Answers

Answer:

slope = 3

Step-by-step explanation:

Choose any two points: For example, (2, 4) and (4, 10)

Find the difference in y. This is called the "rise."

rise = 10 - 4 = 6

In the same order, find the difference in x. this is called the "run."

run = 4 - 2 = 2

slope = rise/run

slope = 6/2

slope = 3

Find percentage of .20

Answers

Answer: The percentage of 0.20 is 20%.

Step-by-step explanation: 0.20 represents the 20% of 100%.

Answer: 20%

Step-by-step explanation: You just move the dot 2 times to the right and it will be 20%

Solve The Equation !
‐5x – 3 < 2x – 18

Answers

Answer:

x>15/7

Step-by-step explanation:

A rectangle I has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one vertex is the point (-5,-7) and the origin is in the interior of the rectangle, fi the vertex of the rectangle is opposite of (-5,-7).

Answers

Ask your teacher because I don’t know

Answer:

B, C, E

Step-by-step explanation:

On edge 2021

what is equivalent to 1/2 (2x + 7)

Answers

Answer: x + 7/2
Explanation:

1/2(2x + 7) = x + 7/2

BRAINLIST HELP TIMED

Answers

Answer:

its the second one

Step-by-step explanation:

u just mulitply the terms together and add the exponents

The inter quartile range of a distribution is 7. If the 25th percentile is 16. Find the upper quartile

Answers

Given:

Inter quartile range(IQR) of a distribution = 7

25th percentile = 16

To find:

The upper quartile.

Solution:

We have,

IQR = 7

25th percentile = lower quartile = 16

We know that,

IQR = Upper quartile - Lower quartile

Let the upper quartile be [tex]Q_3[/tex].

Using the above formula, we get

[tex]7=Q_3-16[/tex]

Adding 16 on both sides, we get

[tex]7+16=Q_3-16+16[/tex]

[tex]23=Q_3[/tex]

Therefore, the upper quartile of the distribution is 23.

Please help me ASP

Give me a Fraction Mixed number word problem

Answers

WORD PROBLEM:

Flock of birds flew for 2 3/4 hours. The next day , they flew for 3 4/5 hours. How many hours did the birds fly in total?PROBLEM:2 3/4 + 3 4/5

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take

please help.​

Answers

Answer:

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

Step-by-step explanation:

Given that:

Distance of hotel from house = 163 miles

Distance covered by per liter = 10.5 miles

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.

Petrol used for total distance = [tex]\frac{Total\ distance}{Distance\ per\ liter}[/tex]

Petrol used for total distance = [tex]\frac{163}{10.5}=15.52\ liters[/tex]

The journey will use 15.52 liters of petrol.

2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

Cost of per liter petrol = 138.9 pence

Cost for petrol to hotel = Petrol used for journey * Price per liter

Cost of petrol = 138.9 * 15.52 = 2155.73 pence

The approximate cost of petrol to hotel will be 2155.73 pence

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take.

Distance covered per hour = 50 miles

Time taken in whole journey = [tex]\frac{total\ distance}{distance\ per\ hour}[/tex]

Time taken in whole journey = [tex]\frac{168}{50}[/tex]

Time taken in whole journey = 3.36 hours

The whole journey will take 3.36 hours

Hence,

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

What is a equivalent expression for 10(y² + 2.45)

Answers

Answer:

10y²+24.5

Step-by-step explanation:

distribute.

10y²+24.5

Hope this helps plz hit the crown :D

The equivalent expression for the given expression is 10y²+24.5.

The given expression is 10(y² + 2.45).

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The equivalent expression is

10(y² + 2.45)

=10y²+24.5

Therefore, the equivalent expression for the given expression is 10y²+24.5.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

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The answer to a subtraction problem​

Answers

Answer:

The answer in a subtraction problem is called the difference.

Step-by-step explanation:

Hi there!

The answer to a subtraction problem is called rest or difference while the top thats being subtracted is called the minuend and the middle one is called the subtrahend.

In the figure, if the measure of ∠1 = 112o, what's the measure of ∠12?

Answers

Answer:

the measure of angle 12 is 68degrees

In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?

[asy]
unitsize(3 cm);

pair X, Y, Z;

X = (0,1);
Y = (-1,0);
Z = (1/sqrt(3),0);

draw(X--Y--Z--cycle);

label("$45^\circ$", Y + (0.3,0.1), fontsize(10));
label("$60^\circ$", Z + (-0.2,0.1), fontsize(10));
label("$X$", X, N);
label("$Y$", Y, SW);
label("$Z$", Z, SE);
label("$4$", (X + Z)/2, NE);
[/asy]

Answers

Answer:

[tex]XY = 4.9[/tex]

Step-by-step explanation:

[tex]\angle Y = 45^\circ[/tex]

[tex]\angle Z = 60^\circ[/tex]

[tex]XZ = 4[/tex]

Required

Determine the length of XY?

This question is supported with the attachment.

To solve for the length of XY, we make use of the sine law which states:

[tex]\frac{sin\ A}{a} = \frac{sin\ B}{b} = \frac{sin\ C}{c}[/tex]

In this case:

[tex]\frac{sin\ \angle Y}{XZ} = \frac{sin\ \angle Z}{XY} = \frac{sin\ X}{YZ}[/tex]

Substitute in, the following values:

[tex]\angle Y = 45^\circ[/tex]

[tex]\angle Z = 60^\circ[/tex]

[tex]XZ = 4[/tex]

The expression becomes:

[tex]\frac{sin\ 45}{4} = \frac{sin\ 60}{XY}[/tex]

Cross multiply

[tex]XY * \sin\ 45 = 4 * \sin\ 60[/tex]

Make XY the subject

[tex]\frac{XY * \sin\ 45}{\sin\ 45} = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]

[tex]XY = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]

[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]

[tex]XY = \frac{3.4640}{0.7071}[/tex]

[tex]XY = 4.89888276057[/tex]

[tex]XY = 4.9[/tex] --- approximated

Answer:

XY = 4.9

Step-by-step explanation:

Estimate the quotient for:

4,819÷68

Answers

Answer:

≈ 70.87 (rounded to the nearest hundredth)

Step-by-step explanation:

-When you do 4,819 ÷ 68, you’ll get:

70.867647058....

-So, just round it to the nearest hundredth:

70.87

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