1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LUCKY_DIMON [66]
3 years ago
14

Find the indicated sum for each sequence. S9 of –9, 36, –144, 576, ...

Mathematics
1 answer:
gogolik [260]3 years ago
5 0

This is a geometric sequence with a common ratio of -4:

-9*-4=36

36*-4=-144

-144*-4=576

Thus, the 9th term would be equal to:

(-4)^5*576 which is -589824

The exponent 5 comes from the fact that 4 terms have already been displayed and we need 9-4 more terms to get to the 9th term. Since we are multiplying by -4 only, the 5 remains an exponent

You might be interested in
The sum of three consecutive integers is 198. What are the​ integers?
-BARSIC- [3]

Answer:

The sum of three consecutive integers for 198 are <em>65, 66, and 67</em>

Definition of "INTEGERS"

1.  a whole number; a number that is not a fraction.

2. a thing complete in itself.

Step-by-step explanation:

198 = x + x + 1 + <em>x + 2</em>

combine like numbers

198 = 3x + 3

subtract 3 from like numbers (in this case)

198 - 3 = 3x + 3 - 3

195 = 3x

divide by 3

195/3 = 3x/3

65 = x

x + 1 = 65 + 1  ---66

x + 2 = 65 +2  --67

6 0
3 years ago
A classroom board is 36 inches wide and 24 inches tall. Cheryl
Gennadij [26K]

Answer:

option B

Step-by-step explanation:

7 0
3 years ago
|x| + 4 &gt; 7 plz help and hurry
Talja [164]

Answer:

The solution is (-\infty,-3)\cup(3,\infty).

Step-by-step explanation:

Given:

The inequality given is:

|x|+4>7

In order to simplify for 'x', we first isolate 'x' on one side.

Adding -4 on both sides, we get:

|x|+4-4>7-4\\\\|x|>3

Now, |x| is an absolute value function which is defined as:

|x|=\left \{ {{-x}\ \ x

Therefore, the given inequality can be rewritten as:

-x > 3\\x and x > 3

Therefore, the solution is (-\infty,-3)\cup(3,\infty).

4 0
3 years ago
Turn the sentence into an expression please
Hatshy [7]

Answer:

x + 5x

Step-by-step explanation:

X is the variable in this case, or 'a number.' This number x is added to the product of 5 and the number, or 5x. Therefore the expression is x+5x. It can also be simplified to 6x.

7 0
2 years ago
Write the standard form of the equation of the circle that passes through the point
AnnZ [28]

Answer:

The standard form of the equation of the circle is x^2+y^2=1.

Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

                                             (x-h)^2+(y-k)^2=r^2

where <em>r</em> is the radius of the circle,  and <em>h</em>, <em>k</em> are the coordinates of its center.

When the center of the circle coincides with the origin h=k=0, so

                                            (x-0)^2+(y-0)^2=r^2\\x^2+y^2=r^2

We are also told that the circle contains the point  (0, 1), so we will use that information to find the radius <em>r</em>.

                                                   0^2+1^2=r^2\\r^2=0^2+1^2\\r^2=1\\r=\sqrt{1}

Therefore, the standard form of the equation of the circle is x^2+y^2=1.

5 0
3 years ago
Other questions:
  • Convert y + 1 = 3/4 (x - 16) to standard form.
    15·1 answer
  • Plot points on the number line to represent all values that rounded to 500 when to the nearest hundred and 450 when rounded to t
    14·1 answer
  • For the given equation, y = 4(x) - 1, what is the value of y for x = 2?
    10·2 answers
  • PLEASE HELP ASAP 50 POINTS! For a project in Home Economics class, Kirk is making a tablecloth for a circular table 3 feet in di
    6·2 answers
  • What is b less than 9 in algebraic expression
    9·1 answer
  • Does the unit rate always have to be set up as the denominator?
    12·2 answers
  • Find the value of x <br> A) 3<br> B) 14<br> C) 5<br> D) 2
    15·1 answer
  • I need help,Please it’s due today
    5·1 answer
  • Please help i will rate 5 stars
    10·2 answers
  • One math student John can solve 6 math problems in 20 minutes while another student Jessica can solve the same6 problems at a ra
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!