The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.
Geometric sequence:Important information:
Given geometric sequence is 2, 10,50,...We need to find the 12 th term.
In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].
The nth term is:
[tex]a_n=ar^{n-1}[/tex]
Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.
The 12th term is:
[tex]a_{12}=2(5)^{12-1}[/tex]
[tex]a_{12}=2(5)^{11}[/tex]
[tex]a_{12}=97656250[/tex]
Therefore, the 12th term of the geometric sequence is 97656250.
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Answer: 97656250.
Step-by-step explanation:
dm
24 = -3(2а — 15) — а
Answer:
a=3
Step-by-step explanation:
24= -3(2a-15)-a -->given
24=-6a+45-a -->distribute the -3
24=-7a+45 -->combine like terms
-21=-7a -->subtract 45 from both sides
3=a -->divide both sides by -7
The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals
Answer:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Step-by-step explanation:
Given that polynomial:
[tex]p(x)=x^3-7x-6[/tex]
Known factor: [tex](x+1)[/tex]
To find:
Equation of the polynomial as the product of linear factors.
Solution:
The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic. That quadratic will have 2 solutions.
We can solve the quadratic in two linear factors and as a result we will have the answer.
First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.
[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]
Solving the quadratic:
[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]
So, the answer is:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Answer:
(x+1)(x+2)(x-3)
Step-by-step explanation:
A gas station had two pumps. Pump A dispensed 241,752 gallons. Pump B dispensed 113,916 more gallons than Pump A. About how many gallons did both pumps dispense?
Answer:
Total gallons= 597,420
Step-by-step explanation:
Giving the following information:
Pump A dispensed 241,752 gallons.
Pump B dispensed 113,916 more gallons than Pump A.
First, we will calculate the number of gallons dispensed by Pump B:
Pump B= Pumb A + 113,916
Pump B= 241,752 + 113,916
Pump B= 355,668 gallons
Now, in total:
Total gallons= 241,752 + 355,668
Total gallons= 597,420
Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?
A. -12/13
B. -5/13
C. 5/12
D. 12/13
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
Answer:
A
Step-by-step explanation:
Ed2021
1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN
The correct answer is C plane HJG
Help please! Answer only if you know the correct answer, thanks.
Answer:
AB and AC
Step-by-step explanation:
I think I'm not 100 but....
you can walk 1 1/2 miles in 1/2 hour. what is your average speed?
Answer:
3mph
Step-by-step explanation:
Depending how far you're traveling and how fast you traveled. When doing speed you typically do it by hours and the unit will be miles per hour (mph).
1. 1.5 mi=0.5 hr
2. Multiple 0.5 by 2 to get one hour, and do the same to the other side
2(1.5)=2(0.5)
3. 3mi=1hr
4. The answer is 3mph
Sal needs 3 quarts of blue paint and 2 quarts of white paint to paint his room. How many quarts of blue paint will he need to paint his parent's room, if he needs 6 quarts of white paint?
Answer:
9 quarts of blue paint
Step-by-step explanation:
the ration is 3:2
2 times 3 is 6, so multiply the 3 from the blue paint to 3 as well
what is 2/5 of 110??
Answer:
44
Step-by-step explanation:
Remember that "of" in math means the same as multiplication.
2/5 * 110 = 44
Answer:
44
Step-by-step explanation:
2/5×110
of in mathmatics means multiplication
Therefore, the answer is 44
(-1)(-11) please solve!!
Answer:
A positive 11
Step-by-step explanation:
11 is your answer
To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.
What is the quotient of 4 and 13? PLEASE PLEASE PLEASE ANSWER ASAP
Answer: 0.31
Step-by-step explanation:
Simple division.
Answer
the Answer is 12
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!
Answer:
12
Step-by-step explanation:
X x Y =20 So 12 Then 12 - 12 + 12 = 12
Find the product of the two binomials below
(x-8) (x+4)
I NEED HELP PLEASE 10 points
Answer:
b.y=1/2x-3
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I took the assignment
(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?
PLZ HELP WILL GIVE BRANLIST
Answer:
25
Step-by-step explanation:
so lets write our ratios.
Students that wear glasses to the whole class:
2 : 5
Students that wear glasses to those that dont:
2 : 3
And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be
10 : 15
10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.
5) William sold half of his comic book collection then purchased 10
more. He now has 24 comic books. How many books did William
begin with?
Answer:
14
Step-by-step explanation:
If he has a total of 24
and he just purchased 10
24-10= 14
SHOW YOUR WORK
20x4.17
Answer:
83.40
Step-by-step explanation
_______________2 0________
× 4 1 7
________________________
+ 1 4 0
+ 2 0
+ 8 0
___________________________
= 8 3. 4 0
The domain for the equation y = 3x + 14 is listed below. Find the range for the given domain.
D:{-5,0,4}
R:
Answer:
R:{-1,14,26}
Step-by-step explanation:
The domain of a function is all the x-values of the function. The range of a function is all the y-values of the function. Therefore, we must plug in every x-value in the function to get our outputs to create our range:
Given: y=3x+14
When x=-5:
y=3(-5)+14
y=-15+14
y=-1 (this is the first point of the range)
When x=0:
y=3(0)+14
y=0+14
y=14 (this is the second point of the range)
When x=4:
y=3(4)+14
y=12+14
y=26 (this is the last point of the range)
Therefore, our range is R:{-1,14,26}
The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is
{ -1, 14, 26 }.
We have,
To find the range for the given domain of {-5, 0, 4} in the equation
y = 3x + 14, we substitute each value of the domain into the equation and determine the corresponding range values.
When x = -5:
y = 3(-5) + 14
y = -15 + 14
y = -1
When x = 0:
y = 3(0) + 14
y = 0 + 14
y = 14
When x = 4:
y = 3(4) + 14
y = 12 + 14
y = 26
Therefore,
The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is
{ -1, 14, 26 }.
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Si a un numero "X" le sumo 3 y al resultado lo multiplico por 2, me da 14 ¿cual es ese numero?
What kind of solution does 3x+5=-2 have?
Answer:
[tex]x = - \frac{7}{3} [/tex]
step by step:
3x+5=-2
move constant to the right-hand side and change it's sign
3x=-2-5
Calculate the difference
3x=-7
Divided both sides of the equation by 3
HELP URGENT‼️‼️
Tia needs 3/4 a cup of orange
juice for every 1/4 cup
of
water. How many cups of
orange juice does she need if
she uses 1 cup of water?
Answer:
The answer is 3 cups of orange juice.
Step-by-step explanation:
So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.
Answer:3
Step-by-step explanation:
1/5+x+2/3=1 PLEASE HELP
Answer:
x=2/15
Step-by-step explanation:
1/5+x+2/3=1
3/15+x+10/15=15/15
13/15+x=15/15
x=2/15
Answer:
the answer to your question
Anyone know the answers???
Answer:
A. -80
B. 60
C. 98
D. -54
Step-by-step explanation:
ez give brainliest pls
a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.
-8+15+2x=5+6x-6x
News ASAP
My teacher didn’t teach me this
Answer:
x = -1 you have to combine like terms.
what difficulty did you encounter in determining polynomials?
Answer:
I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.
The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answer:
I would say the last one
Step-by-step explanation:
The third works the same way but 46/17 is hard to calculate without a calculator
AB = 3x + 5, AC = 9x - 13
Solve for x . I’ll give brainliest to the first person who answers:)
Answer:
x = 2
Step-by-step explanation:
I assumed that you wanted me to set them equal to each other, so that is what I did. I wasn't given any other number to go by so hopefully this is correct.
x + 3x-1 + 2x+1 what is the perimeter
Answer:
To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.
Step-by-step explanation:
⎧ y=4x(x−2) x+y=2 One of the solutions to this system is (2,0)(2,0)left parenthesis, 2, comma, 0, right parenthesis. Find the other solution. Your answer must be exact. ((left parenthesis ,,comma ))