For the following geometric sequence find the explicit formula.
{12, -6, 3, ...}

Answers

Answer 1

Answer:

Tn = 12(-1/2)^n

Step-by-step explanation:

We have the nth term of a geometric sequence as

Tn = ar^n-1

a is the first term

r is the common ratio

n is term number

by dividing the second term by the first, we can have the common ratio

We have this as -6/12 or 3/-6 = -1/2

a the first term is 12

So we have the explicit formula as;

Tn = 12(-1/2)^n


Related Questions

Which choice is the slope-intercept equation of the line shown below?


A. y=-1.5x+3

B. y=-1.5x-3

C. y = -1.5x

D. y = -1.5x + 2

Answers

Answer:

A)

Step-by-step explanation:

Find the value of x.
Show work. please help

Answers

Answer:

x=7

Step-by-step explanation:

Since this is an isosceles triangle the two angles are equal.

3x+6 = 5x-8

Subtract 3x from each side

3x+6-3x = 5x-8-3x

6 = 2x-8

Add 8 to each side

6+8 = 2x-8+8

14 = 2x

Divide each side by 2

14/2 = 2x/2

7 = x

Answer:

x = 7

Step-by-step explanation:

Its two angle is equal so, it is isosceles triangle.

3 x + 6 = 5 x - 8 .. ( in isosceles triangle two side are equal).

3 x + 6 = 5 x - 8

Subtract 3 x from both side

3 x - 3 x + 6 = 5 x - 3 x - 8

6 = 2 x - 8

add 8 to each side

6 + 8 = 2 x - 8 + 8

14 = 2 x

Divide each side by 2

14 / 2 = 2 x / 2

7 = x

Help Please and NO LINKS!!! use trig to find the angles
mark as brainllest if its right

Answers

The answer is 46.66 degrees

Answer:

x = 46.7°

Step-by-step explanation:

We are given:

1.) Angle x

2.) Side opposite to angle x

3.) Hypotenuse

We have to find angle x, therefore Sin ratio would be used;

Sin(x) = Opposite / hypotenuse

Sin(x) = 4 / 5.5

x = Sin⁻¹(4/5.5)

x = 46.7°

Hope this helps!

how many questions out of 42 do I need to get right to score 75?​

Answers

Answer:

31 questions, but it's impossible to score 75%.

Step-by-step explanation:

It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.

This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.

You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.

4x-3=2x+7 and 2x+6=7x-14​

Answers

Your answer to question 1 equals 5 , your next answer to the 2nd question equals 4

Turner's scores for nine video games are 140, 180, 200, 170, 180, 150, 160, 130, and 121. The mean, median, and mode of his scores are given below.
mean = 159
median = 160
mode = 180
Which value gives Turner's game average?

Answers

Answer:

The mean gives Turner’s game average.

Step-by-step explanation:

The median describes the number in the middle from lowest to greatest. The mode describes the number that appears the most. The mean describes the average of the data set.

Name the figure. Write the area formula. Fill in the area formula. PLEASE HELP ME ON THIS AND MY OTHER QUESTION!!!!

Answers

Answer:

name=circle area= 2 x pi x 6square

Step-by-step explanation:

Answer:

Step-by-step explanation:

Name of a figure=circle

radius=diameter/2

=12/2

=6

area=πr^2

=3.14*(6)^2

=3.14*36

=113.04 in^2

Use the drop-down menus to complete each question so the statement about its solution is true.​

Answers

Step-by-step explanation:

• no solution:

3x+9+4x+x = 8x + 9

• one solution:

3x+9+4x+x = 7x + 11

infinitely many solutions:

3x+9+4x+x = 8x + 11

There were 400 students in attendance. 51% are boys. How many are boys (show your work)

Answers

Answer:

204 out of 400 students are boys; 204

Step-by-step explanation:

x/400 = 51/100

100x = 51 x 400

100x = 20400

100x/100 = 20400/100

x = 204

DEKU

Answer:

201-boys   199-girls

i dont think if my answer are right..

Step-by-step explanation:

Solve the following 3 × 3 system. Enter the coordinates of the solution below.
2x – 3y – 2z = 4
x + 3y + 2z = –7
–4x – 4y – 2z = 10

Answers

9514 1404 393

Answer:

  (x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

  (2x -3y -2z) +(x +3y +2z) = (4) +(-7)

  3x = -3

  x = -1

Adding equations 2 and 3:

  (x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

  -3x -y = 3

Substituting for x, we get ...

  (-3)(-1) -y = 3

 0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

  -1 +2z = -7

  2z = -6 . . . . . add 1

  z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).

Hannah used 2 5/8 yards of fabric to make a skirt

Answers

Answer:

Whats the question?

Step-by-step explanation:

The function f(x) = −x2 + 18x − 72 models the daily profit, in dollars, a gym makes for selling memberships, where x is the number of memberships sold, and f(x) is the amount of profit.

Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)

Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Answers

Answer:

The solutions are  x=6,x=12

Step-by-step explanation:

solution is in the file attached below

I REALLY NEED HELP!!!

Answers

Answer:

Complementary angles

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

Answer:

complementary

Step-by-step explanation:

The angles are part of a right angle as shown by the square.

Complementary angles are angles that add up to 90˚

since x-15 and 2x are parts of the right angle, they add up to 90

JGR-MST. Which statement is not always true? someone pls helpp

Answers

Answer:

It is D, I think it’s because the letters need to be around in the same order

The angle corresponding to each other of different triangle are equal.

What are similar triangle ?

"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion".

Here given,

[tex]\triangle JGR[/tex] is similar to triangle [tex]\triangle MST[/tex]

So, from the definition of similar triangle ,

angle J ≅ angle M

angle G ≅ angle S

angle R ≅ angle T

Hence, option D is correct.

To know more similar triangle here

https://brainly.com/question/25882965

#SPJ2

I think of a number, I halve it then take away 4 and answer is 6 ,What was my number​

Answers

20 because if you take 20 half it that would be 10 then take away 4 that would then equal 6.

(b) Evaluate (6.3 x 10^6)+ (9 x 10^2).​

Answers

15.3x10^8 ,

it’s really simple just add them!!

According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by ​%87 to ​$ 572 thousand. What was the average price of a new home in​ 2000?

Answers

X*1.87= 572
X=572/1.87
X=$306

Solve for x. 4x-4< 8
AND 9x +5 > 23
is it a, b,c or d ?

Answers

Answer:

[tex] A)\displaystyle2 < x < 3[/tex]

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities

we are given that

[tex] \displaystyle 4x - 4 < 8 \ \: \text{and} \: \: 9x + 5 > 23[/tex]

solving x for the first equation:

[tex] \displaystyle 4x - 4 < 8[/tex]

add 4 to both sides:

[tex] \displaystyle 4x < 12[/tex]

divide both sides by 4 and since we are dividing both sides by a positive number the inequality won't swap

[tex] \displaystyle x < 3[/tex]

solving x for the second equation:

[tex] \displaystyle 9x + 5 > 23[/tex]

cancel 5 from both sides:

[tex] \displaystyle 9x > 18[/tex]

divide both sides by 9 and since we are dividing both sides by a positive number:

[tex] \displaystyle x > 2[/tex]

therefore by combining the equations we obtain:

[tex] \displaystyle\boxed{2 < x < 3}[/tex]

hence,

our answer is A)

HELP!!!!! NO LINKS OR FAKE ANSWER OR I WILL REPORT YOU Thanks! The image is above¡

Answers

Answer:

Top left Equation:  [tex]\frac{2}{3} + (- 2 \frac{1}{3} ) = - 1 \frac{2}{3}[/tex]

Step-by-step explanation:

You start at 2/3, or the left side.

Since the line is directing left, you are subtracting, or adding a negative.

If you see, you are moving 7 - 1/3s to the left

7 x 1/3 = 7 / 3

7 / 3 = 2 1/3

And 2/3 + (-2 1/3) = -1 2/3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

PLEASE HELP! THIS IS DUE TONIGHT! THANK YOU!!

EXPLANATION = BRAINLIEST

Answers

Answer:

Step-by-step explanation:

18/6=51/p

do cross multiplication

6*51=p*18

306/18=p

17=p

therefore perimeter is 17 cm

what is the domain please help i’ll mark brainliest

Answers

Answer:

In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. It is the set X in the notation f: X → Y, and is alternatively denoted as {\displaystyle \operatorname {dom} }.

Step-by-step explanation:

Formula

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Absolute value

As the domain of absolute value refers to the set of all possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range of absolute value is the set of possible output values, which are shown on the y-axis.

Notation

We can write the domain of f(x) in set builder notation as, {x | x ≥ 0}. If the domain of a function is all real numbers (i.e. there are no restrictions on x), you can simply state the domain as, 'all real numbers,' or use the symbol to represent all real numbers.

Rules

If a function contains a square root, set the equation inside the square root greater or equal to zero and solve. The resulting answer is the domain. If a function contains a fraction, set the denominator not equal to zero and solve. The resulting answer is the domain.

Math help please thanks due soon

Answers

Problem 11

Answer: Angle C and angle F

Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.

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

Problem 12

Answer: 100 degrees

Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.

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

Problem 13

Answer: 80 degrees

Explanation: This was mentioned earlier in problem 11.

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

Problem 14

Answers: complement = 50, supplement = 140

Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.

For items 10 and 11, write each relation as a set of ordered pairs.

Answers

Answer:

-15,3   2,-11   -3,-7    12,4

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

b

Step-by-step explanation:

a line segment is a line that has a endpoint on both sides

33 degrees, 87 degrees, x=?

Answers

Answer:

60°

Step-by-step explanation:

180 - 33 - 187 = 60

Answer:

[tex]x=60\\y=120[/tex]

Step-by-step explanation:

A triangle is always 180 degrees...

Form an equation to solve:

[tex]x+33+87=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

To find y:

(Angles on straight line = 180)

[tex]y=180-x[/tex]

(replace x with 60)

[tex]y=180-60[/tex]

[tex]y=120[/tex]

hope this help :)

How many core are there in 20 millon

Answers

Answer:

2 crore are there in 20 million.

Step-by-step explanation:

❣️(◍Jess bregoli◍)❣️

#keep learning!!

Now,

10 millions = 1 crore

20 millions = 1/10*20

= 2 crore

I hope it's help you...

Mark me as brainliest...

Find the slope of the line whose equation is y = 2x – 1​

Answers

General equation for slope-intercept form

y = mx+c

comparing the given eqn with this ,

m= slope = 2

MATH HELP PLEASE ANSWER AND SHOW WORK ITS DUE SOON THANKS

Answers

Answer:

the area of the circle is the number of boxes in the box minus no .of boxes in circle....

hay claudia do u remember me

Mrs. Kaplan"s son, Carter, can crawl 125 feet in 1.5 minutes. He can walk 384 feet in 4 minutes. Is he faster on all fours or on his feet?

Answers

Answer:

Crawling

Step-by-step explanation:

Select the correct answer.
7.
Which image shows –15 on a number line?
ОА.
4
十一
-2
-1
0
1
2
OB.
-2
-1
0
1
2
Ос.
-2
-1
0
1
N

Answers

Answer:

I think...I repeat I am not sure. The answer is C.

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