Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
Help how do I do it?
A
B
C
D
C
x = 50
Step-by-step explanation:If the two angles add up to 140 then that means 40° + 2x° equals 140
Set up an equation from that evaluation and solve
40 + 2x = 140
Subtract 40 from both sides
2x = 100
Divide both sides by two
x = 50
Hope this helps.
what is 4 divided by 6
what do temperature and elevation have in common
Answer: As you increase in elevation, there is less air above you thus the pressure decreases. As the pressure decreases, air molecules spread out further (i.e. air expands) and the temperature decreases. If the humidity is at 100 percent (because it's snowing), the temperature decreases more slowly with height.
Step-by-step explanation:
Trust me
If the graph of a system of two equations results in the same EXACT line, then there is/are:
No Solution
One Solution
Infinite Solutions
PLEASE ANSWER QUCIKY
Answer:
Infinite Solutions
Step-by-step explanation:
If its the same line then any point is a viable answer
How do you find the value of x with 98 & 50?
Answer:
Assuming this has something to do with the interior angles of a triangle?
98 + 50 + x = 180, add 98 and 50.
148 + x = 180, subtract 148 from both sides.
x = 32
4(g- h) + 10, when g=12, h=7
Answer:
30
Step-by-step explanation:
When g = 12 and h = 7, the value of the expression is 30.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
The given expression is 4(g - h) + 10.
Substitute the values of g and h as g = 12 and h =7, we get,
4(g - h) + 10 = 4(12 - 7) + 10
= (4 × 5) + 10
= 20 + 10
= 30
Hence the value of the expression is 30.
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Question 3 (20 points)
Factor:
36x2 - 81y2
(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)
The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 36x² - 81y²
Factorize the expression, then we have
⇒ 36x² - 81y²
⇒ (6x)² - (9y)²
⇒ (6x - 9y)(6x + 9y)
The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.
More about the factorization link is given below.
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Helppppp! I dot know the answer
Answer:
L
Step-by-step explanation:
the square root is 7.2111111. thats the closest
Answer:
C. l
Step-by-step explanation:
The square root of 52 is about 7.211.
Since there is a negative sign in front of the square root, then it means that the answer is about -7.211.
On the number line you have a little bit over -7.3, a little less than -7.3 and a little more than -7.2. The closest answer would be the point that is a little more than -7.2.
Please correct me if I am wrong. I hope this helps!
If A ⊂ B, then A ∩ B = A ∪ B. a) sometimes b) always c) never
The Answer is Never- Hope this helps and have a great day!
Explanation:
We are given that set A⊂B .
This means that set A is properly contained in set B.
i.e. A≠B
This means that there are some elements in set B which are not in set A.
Now we have to show whether the following property A∩B=A∪B
always, sometimes or never hold.
As A is a proper set of B.
This means that: A∩B=A ( Since A is a smaller set)
Also, A∪B=B (Since B is a bigger set)
Hence, A∩B ≠ A∪B (Since A≠ B)
Credit to -virtuematane
HELP PLEASE TO CONFUING FOR ME
Answer:wow this is hard
Step-by-step explanation:
What is 5x+2-4x+3 please I need help
Answer:
1x+5
Step-by-step explanation:
ill mark brainllest if right
Answer:
The most sense-making answer according to my calculation is B
Step-by-step explanation:
Pls consider marking my answer as Brainliest! It would mean a lot!
Use the distributive property to write an equivalent expression.
8(4t + 9)
Answer:
32t+72
Step-by-step explanation:
You are helping your older sibling look for an apartment. There are 2 final choices. Apartment A is $1200 per month and requires a security deposit of $1000. Apartment B is $1175 per month and requires a security deposit of $1500. How many months will it be before the costs are the same?
Answer:
20 months.
Step-by-step explanation:
Let the number of months be represented as x
Apartment A is $1200 per month and requires a security deposit of $1000.
= $1200 × x + $1000
1200x + 1000
Apartment B is $1175 per month and requires a security deposit of $1500.
= $1175 × x +$1500
1175x + 1500
Apartment A = Apartment B
1200x + 1000 = 1175x + 1500
Collect like terms
1200x - 1175x = 1500 - 1000
= 25x = 500
x = 500/25
x = 20
Therefore, the costs for both apartment A and B will be the same after 20 months.
y+x=10
2x=4y-2
Solve of systems of equations
Answer:
{y,x}={
3
11
,
3
19
}
Step-by-step explanation:
Pls Help again I have to post separately
3x – 1 = 2(x + 34)
what is the answer in feet and inches?
Answer:
inches:-69
feet:-5 9/12 (-5 3/4 simplified)
Step-by-step explanation:
Write out the equation and distribute.
3x – 1 = 2(x + 34)
3x - 1 = 2x + 68
Get rid of the variable on one side first (it makes solving the equation less complicated.)
3x - 1 = 2x + 68
-3x -3x
-1 = -x + 68
Subtract 68 on both sides.
-1 = -x + 68
-68 -68
-69 = x
I'm guessing that the answer in feet and inches would be...
inches:-69
feet:-5 9/12 (-5 3/4 simplified)
I'm not sure how feet and inches can be negative, but that's what I got for the answer...hope this helps! Have an amazing day C:
If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.
m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =
Answer:
a. m<1 = 105° - 63° m<1 = 42°
b. m<3 + m<2 + m<1 = 180° m<3 = 75°
c. m<4 = m<1 m<4 = 42°
d. m<5 = m<2 m<5 = 63°
e. m<6 = m<3 m<6 = 75°
f. m<7 = m<9 m<7 = 105°
g. m<8 = m<6 m<8 = 75°
h. m<10 = m<8 m<8 = 75°
i. m<11 = m<4 m<11 = 42°
j. m<12 = 180° - m<11 m<12 = 138°
k. m<13 = m<11 m<13 = 42°
l. m<14 = m<12 m<14 = 138°
Step-by-step explanation: Sorry if not all are correct
Applying the relationship existing between angle pairs, the measure of each angle in the image are:
m<1 = 42°
m<3 = 75°
m<4 = 42°
m<5 = 63°
m<6 = 75°
m<7 = 105°
m<8 = 75°
m<10 = 75°
m<11 = 42°
m<12 = 138°
m<13 = 42°
m<14 = 138°
Given that a || b, where:
m<2 = 63°m<9 = 105°, the missing angle measures will be determined as follows:Find m<1:
m<1 + m<2 = m<9 (exterior interior angle theorem)
Substitutem<1 + 63° = 105°
m<1 = 105° - 63°
m<1 = 42°
Find m<3:
m<1 + m<2 + m<3 = 180° (angles on a straight line)
Substitute42° + 63°+ m<3 = 180°
105° + m<3 = 180°
m<3 = 180° - 105°
m<3 = 75°
Find m<4:
m<4 = m<1 (vertical angles theorem)
Substitutem<4 = 42°
Find m<5:
m<5 = m<2 (vertical angles theorem)
Substitutem<5 = 63°
Find m<6:
m<6 = m<3 (vertical angles theorem)
Substitutem<6 = 75°
Find m<7:
m<7 + m<6 = 180° (corresponding angles theorem)
Substitutem<7 + 75° = 180°
m<7 = 180° - 75°
m<7 = 105°
Find m<8:
m<8 = m<6 (alternate interior angles theorem)
Substitutem<8 = 75°
Find m<10:
m<10 = m<6 (corresponding angles theorem)
Substitutem<10 = 75°
Find m<11:
m<11 = m<4 (alternate interior angles theorem)
Substitutem<11 = 42°
Find m<12:
m<12 = m<6 + m<5 (alternate interior angles theorem)
Substitutem<12 = 75° + 63°
m<12 = 138°
Find m<13:
m<13 = m<11 (vertical angles theorem)
Substitutem<13 = 42°
Find m<13:
m<14 = m<12 (vertical angles theorem)
Substitutem<14 = 138°
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Josue knows that his aunt earns more money. than his uncle. He asked how much his aunt earns each month and was told, "$600 less than twice what your uncle earsn." If his aunt earns $4,200 per month, how much money does his uncle earn each month?
Answer:
Uncle's earnings is $2400
Step-by-step explanation:
Represent his uncle's earnings with x
$600 less than twice what your uncle earns is represented as:
[tex]2x - 600[/tex]
Since, his aunt's earnings is $4200.
We have:
[tex]2x - 600 = 4200[/tex]
Add 600 to both sides
[tex]2x - 600 + 600= 4200 + 600[/tex]
[tex]2x = 4800[/tex]
Solve for x
[tex]x = 4800/2[/tex]
[tex]x = 2400[/tex]
Hence, His uncle's earnings is $2400
write an expression for the area of the following quadrilateral with the fewest terms. all sides are congruent. ALSO PLEASE SHOW ME HOW YOU GOT IT
You start at (4,4). You move up 1 unit and left 7 units. Where do you end?
Answer: i believe it would be (-3 , 5)
Step-by-step explanation:
Correct me if im wrong
Answer:
(-3, 5)
Step-by-step explanation:
I could be mistaken, but I'm pretty sure it's that. You may want to graph the point yourself and double-check just to make sure.
What are the 2 points on the graph? Choose 2
A. (1,2)
B.(2,1)
C.(-1,2)
D.(0,0)
Answer:
C,D
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
kayla and 9968
Step-by-step explanation:
Answer:
Jeff, 9968
Step-by-step explanation:
you can take the tens and ones of the number you are multiplying by and use those number to multiply by the first number
50 is in the tens
6 is in the ones
178×56= 9968
how did you get the product of sum and differences of terms?
Answer:
Step-by-step explanation:
The the terms be x and y
The sum of the terms = x+y
Difference of terms = x-y
Product of the sun and differences will be expressed as:
(x-y)(x+y) = x²-xy+xy-y²
(x-y)(x+y) = x²-y²
Hence the product of the terms is equivalent to the difference of two squares of the terms
what is the quotient of 3/5 and 2/3
Answer:
The quotient of 3/5 and 2/3 is 9/10
Explanation:
3/5 divided by 2/3 is 9/10
Or a easier way to divide fractions is this way:
3/5 divided by 2/3 = ?
Flip the second fraction (from 2/3 to 3/2)
And then multiply:
3/5 x 3/2 = 9/10
(Simplify if needed but in this problem there is no need to simplify)
The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldest month in Beijing is 18°F. The function t = 27 cosine (pi/6(m-6)) + 45, where m represents the number of months after January, models the temperature throughout the year in Beijing.
What is the first month in the year when the temperature reaches 55°F?
A. March
B. April
C. July
D. September
Answer:
It's April
Step-by-step explanation:
Answer: B
April
Step-by-step explanation:
Math math math :D
Please help me!
Answer:
£4.48
Step-by-step explanation:
What is the domain of h?
Answer:
D
Step-by-step explanation:
Do not listen to the other answer, D is what is correct
HELP HELP HELP
A house painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount. How long will the job be when both companies charge the same amount? How much will they charge?
Question 1: Write an equation.
Question 2: How long will the job be when both companies will cost the same amount?
Question 3: How much will they charge?
Answer:
BelowI hope it helps ♥Step-by-step explanation:
1. Equation representing when both companies will cost the same amount :
[tex]350 + 15x = 275 + 20x[/tex]
2. Let x equal the number of hours a job takes , then the first house painting company will charge 350+15x , the second house painting will charge 275 +20x. If the two companies charge the same amount , we will have;
[tex]350 +15x = 275+20x\\\\350 - 275 = 20x - 15x\\\\75 = 5x\\\\\frac{75}{5} = \frac{5x}{5} \\\\15 = x\\\\x = 15\:hours[/tex]
3. For a job that takes 15 hours , the first company will cost ;
[tex]350 + 15(15) = 575[/tex]
For a job that takes 15 hours , the second company will cost ;
[tex]275+20x\\\\275+20(15)\\\\275 +300\\\\=575[/tex]
Rewrite the expression without parentheses.
14m-(-5m-4)