Answer: 11
Step-by-step explanation:
9. The Sum of 9 terms is 513/64.
10. The sum of 15 terms is -1.
11. The sum of 6 terms is 364
12. The sum of 10 terms is -682.
We have,
Sn =a (1 - [tex]r^n[/tex] ) ÷ (1 – r)
9. 12, -6, 3, .....
Here, r= -6/ 12= -1/2
So, S(9)
= 12 (1- [tex](-1/2)^9[/tex])/ (1 - (-1/2))
= 513/ 64
10.-1, +1, -.....
Here, r= 1/ (-1)= -1
So, S(15) = 1 (1- [tex](-1)^{15[/tex])/ (1 - (-1))
= -1
11. 1, 3, .....
Here, r = 3/1 = 3
So, S(6) = 1 (1- [tex](3)^{6[/tex])/ (1 - 3)
= 364
12. 2, -4, ...
Here, r= (-4)/ 2= -2
So, S(10) = -682
Learn more about Geometric Sequence here:
https://brainly.com/question/13008517
#SPJ2
50 POINTS!!!
Which is the graph of linear inequality x - 2y = -12?
I need help this is easy tho!
Answer:
it is true
it's a quadralateral
solve the system using substitution 4x+3y=23 x-5=0
Answer:
y=1, x=5
Step-by-step explanation:
Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5
Now we have a value for x, so plug x into the original equation,
4(5)+3y=23,
20+3y=23
Subtract both sides by 20
20-20+3y=23-20
3y=3
dvide both sides by 3
y=1
use the value for x we got earlier
y=1, x=5
I need help with this.
Answer:
check online for more information
A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the following sequence. Find the balance in the account after ten years.
a
=100.000)
n=1,2,3
The balance after ten years.
The balance after ten years is $2,208.04.
When an amount of money is compounded quarterly, it means that the amount deposited and the interest earns interest every quarter. The formula that can be used to determine the balance in 10 years is:
FV = P (1 + r)^nm
FV = Future value P = Present value = $1000 R = interest rate = 8%/4 = 2% m = number of compounding = 4 N = number of years = 10$1000 x (1.02)^40 = $2,208.04
To learn more about future value, please check: https://brainly.com/question/18760477
Find the least common denominator for these fractions. Enter your answer in
the space provided.
5/6
and
5/4
Answer:
LCD = 12
Equivalent Fractions with the LCD
5/6 = 10/12
5/4 = 15/12
Step-by-step explanation:
Rewriting input as fractions if necessary:
5/6, 5/4
For the denominators (6, 4) the least common multiple (LCM) is 12.
LCM(6, 4)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
5/6 = 5/6 × 2/2 = 10/12
5/4 = 5/4 × 3/3 = 15/12
I used a least common denominator calculator so I hope this helped!!
Drag each statement on the left to the correct word on the right to tell whether each is true or false. The words "True" and "False" may be
used more than once.
1/ When rounding, you usually round to the closest number.
2/ When a number is halfway between the two possible numbers, round down to the
smaller number.
3/ When a number is halfway between the two possible numbers, round up to the
greater number.
4/ If you are rounding 897 to the nearest hundred, 890 and 900 are the two possible
numbers you choose between based on whether you are rounding up or down.
1. True
2. False
3. True
4. False
What is rounding?Rounding represents replacing a numeral with an approximate value that includes a shorter, easier, or more explicit representation.
Rounding suggests making a number simpler but keeping its value close to what it existed.
Hence,
1. True
2. False
3. True
4. False
To learn more about rounding refer to:
https://brainly.com/question/27207159
#SPJ2
state whether each of the following equations represent growth or decay.
Answer:
ehhh Pfouto math ni
dali raka AA yooo
Allison was comparing the price of salmon at two stores. At SuperGrocery B, 0.5 pounds of salmon costs $2.77. The table below represents the total cost, in dollars and cents, yy, that it costs for xx pounds of salmon at SuperGrocery A.
Answer:
15.48
Step-by-step explanation:
When we divide 6.45 by 10, we get 0.645 so, we know that is the rate per 0.1 pound. We multiply 6.45 by 2 to get 12.9 and add 0.645 four times since it is 2.4 pounds and get 15.48.
Answer:15.48
Step-by-step explanation:
15.48
QUESTION 4
Round the following number to two significant digits: 137,426.9
2+2 (I have been struggling on this for a long time)
how many times larger is 2 x 10[12] than 5 x 10[6]
Answer:
Step-by-step explanation:
2 x 10¹² / 5 x 10⁶ = 2/5 x 10⁽¹²⁻⁶⁾ = 0.4 x 10⁶ = 4 x 10⁵
Solve for X 3x - 5X + 8x + x = 42
7
8
6
Answer:
x = 6
Step-by-step explanation:
3x-5x+8x+x = 42
7x = 42
x = 6
Which of the following shows the prime factorization of 200 using exponential notation?
Answer:
As we use prime factorization for 200, we get 2 × 2 × 2 × 5 × 5 = 200.
Find the 53" term of the following arithmetic sequence.
3, 11, 19, 27, ...
Answer:
419
Step-by-step explanation:
a=3
d=11-3=8
[tex]a_{n}=a+(n-1)d\\n=53\\a_{53}=3+(53-1)*8\\=3+52*8\\=3+416\\=419[/tex]
Which of the following best describes
the slope of the line below?
• A. Positive
• B. Negative
• C. Undefined
D. Zero
Answer:
A. Positive I'm sorry if I got this wrong answer
Answer:
Please add the picture
Step-by-step explanation:
If it point upward right: positive
if it point downward: negative
If it is just a horizontal line : zero
Negative five times a number decreased by ten is negative twenty five
What is the equation
help with this question, please!
Answer:
Y Intercept: 0, 2.5
X Intercept: 3.5, 0
Explanation:
An Intercept is where a line crosses an axis. A Y Intercept is for the Y axis and the X intercept is for the X axis.
Also when writing coordinates, the x coordinate comes before the y one.
Hope this helps :)
ements
Question 8
1 pts
(08.02 MC)
Rewrite x2 - 2x - 3-0 in the form (x -a)? - b, where a and b are integers, to determine the a and b
values.
Oa-4 and b3
O a-3 and b 2
Oa-2 and b 1
Oa - 1 and b 4
Question 9
1 pts
Step-by-step explanation:
Given,
x² - 2x - 3 = 0
x² - (3x - x) - 3 = 0
x² - 3x + x - 3 = 0
x(x - 3) + 1(x - 3) = 0
(x - 3)(x + 1) = 0
x = 3 & -1
Now,
a and b are integers
So
a = 3 & b = -1 or
a = -1 & b = 3
Answer:
a = 3 , b = -1 or a = -1 , b = 3
Step-by-step explanation:
x² - 2x - 3 = 0
x² - 3x + 1x - 3 = 0
x ( x - 3 ) +1 ( x - 3 ) = 0
( x - 3 ) ( x + 1 ) = 0
So,
x - 3 = 0 or x + 1 = 0
x = 0 + 3 x = 0 - 1
x = 3 x = -1
Therefore,
( x - a) ( x - b )
As a and b are integers
It can be,
a = 3 , b = -1 or a = -1 , b = 3
Hope this helps you.
Let me know if you have any other questions :-)
Which values from the given replacement set make up the solution set of this inequality?
5m≤10; {0, 2, 4, 6}
{0, 4, 6}
{2}
{0, 2}
{2, 4, 6}
Answer:
the solution to the inequality is m[tex]\leq[/tex] 2, so the solution set can include 2 and 0 since it is less then 2. but the rest do not work. so the answer is {0,2}
Step-by-step explanation:
5m[tex]\leq[/tex]10
divide by 5 on both sides and you are left with
m[tex]\leq[/tex]2
only 2 and 0 are less than or equal to 2
Hope this helps!
solve for x . Help me solve them
[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]
A number decreased by five is six less than twice the number. Find the number. Show work.
Answer:
The number is 1
Step-by-step explanation:
let the number be n
n-5=2n-6
n-2n=-6+5
-n=-1
n=1
The area of a circular cake plate is 1520 cm?. Find the diameter of the plate to the nearest cm
Answer:
Hola
tengo una pregunta
de que país
eres? ._.
7. (6 points) For the following geometric sequence, 3 ,- 1, 1/3,-1/9, …
Find the formula for the nth term
Answer:
The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4
Step-by-step explanation:
Which any quality represents the statement the sum of -3 and a number is at least 5
Answer: -3 + n >= 5
Step-by-step explanation: I got it wrong on the test but got the correct answer from test review on K12
If the ratio y/x is the same for all related pairs of x and y, what does that mean about the relationship between x and y?
Answer:
The the relationship is linear
Step-by-step explanation:
If y/x is same for all pairs of x and y, slope is a constant value that is not changed by value of x or y. Hence, it is linear function.
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
y = 2
Step-by-step explanation:
there is no slope but the line is at 2 so 2 is the y-intercept so y = 2.
In class A, 17 students in a class of 25 passed an exam. In class B, 13 out of 20 passed. In class C, 7 out of 10 passed. Which class is the best class?
Answer:
class C
Step-by-step explanation:
a=(17/25)=0.68
b=(13/20)=0.65
c=(7/10)=0.7
How would 10% be written as a fraction?
1/10
10% is 10/100 which simplifies to 1/10
Answer:
1/10
Step-by-step explanation:
it would be 1/10. reduce the fraction by 10
The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.
[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]
