Answers
Answer:
121.5
Step-by-step explanation:
a geometric series : a1 + a1×r + a1×r^2 + a1×r^3 + ...
so, a1 = 50
a2 = a1×r = 30
=> 50×r = 30
=> r = 30/50 = 3/5
a3 = a2×r = a1×r^2 = 50×9/25 = 18
S7 = (50 - 50×(3/5)^7) / (1 - 3/5) =
= (50 - 50×(2187/78125)) / (2/5) =
= 5×(50 - 50×(2187/78125)) / 2 =
= 5×(25 - 25×(2187/78125)) = 125×(1 - 2187/78125) =
= 125×(78125-2187)/78125 = 125×75938/78125 =
= 75938 / 625 =
121.5 (121.5008)
Related Questions
The point (8, 7) is reflected over the x-axis. What quadrant is the new point located in? A. Quadrant I
B.Quadrant II
C.Quadrant III
D.Quadrant IV
Answers
Answer:
.quadrant 4 is the new point locatef
24-67-88+77-77+78-55+888
Answers
Answer:
780
Step-by-step explanation:
24 - 67 = - 43
- 43 - 88 = - 131
- 131 + 77 - 77 = - 131
- 131 + 78 = - 53
- 53 - 55 = - 108
- 108 + 888 = 780
Which of the following is equivalent to 24/80
Answers
Answer:
0.3
Step-by-step explanation:
find the value of using property of 3295×999+3295 Solution
Answers
Answer:
3295000
Step-by-step explanation:
3295×999+3295
3295 * 999 = 3291705
3295×999+3295
3295 * 999 + 3295
3291705 + 3295 = 3295000
Find the solution to the system of equations y=1/2x +1, y= -x-2
Answers
-x-2=1/2x-2
-1.5x-2=1
-1.5x=3
X=-2
(-2,0)
Answer:
answer is (1,0)
Step-by-step explanation:
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
ETIH
12
5
15
a.
12
4
5
15
5
b.
4
5
4
15
12
15
C.
4
5
1
12
10
3
d.
15
5
5
m
4
--
12
4
Answers
Answer: the answer is C
Step-by-step explanation: because
Use the integers that are closest to the number in the middle. √32
Answers
Answer:
4√2
Step-by-step explanation:
√32 = √(16 * 2) = 4√2
Sara drove 96 miles on 3.2 gallons of gas. How many miles can Sara drive on 12.5 gallons of gas
Answers
Answer:
375 miles
Step-by-step explanation:
Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:
[tex]\frac{96}{3.2}[/tex] = [tex]\frac{x}{12.5}[/tex]
Cross multiply and solve for x:
3.2x = 1200
x = 375
So, with 12.5 gallons of gas, Sara can drive 375 miles
Solve the system of equations.
9x+11y=2
3x+4y=4
Answers
Answer:
X= -12 Y=10
Step-by-step explanation:
The solution is, Solve of the system of equations.
9x+11y=2 & 3x+4y=4 is, x = -12 & y =10.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
given that, the system of equations.
9x+11y=2 .......(1)
3x+4y=4 ...........(2)
now, for solving, multiply (2) by 3 & subtract from (1),
we get,
9x + 11y = 2
9x + 12y = 12
---------------------
y= 10
from (1), we get, x = -12
Hence, The solution is, Solve of the system of equations.
9x+11y=2 & 3x+4y=4 is, x = -12 & y =10.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin.
what is the probability of getting a number less than 3 and tails
A. 1/12
B. 1/6
C.1/4
D. 1/3
Answers
Answer:
c is the correct answer but i am not sure
Find the perimeter of the rectangle
Answers
Answer:
I got 21 ft
Step-by-step explanation:
I converted all of the measurements that were shown in feet to inches (there are 12 inches in 1 foot), then added all of the sides together. Once I got that answer, I converted the inches back to feet by dividing the sum of the sides by 12.
Two bottles of honey are compared,one costs R89,99 for 530g and the other. R59,99 for 375g.Which one is cheaper
Answers
Which equation has a graph that lies entirely above the x-axis?
Answers
Answer: c
Step-by-step explanation:
y=(x-7)^2+7
2+3
For what value of a does
9
(3)"
?
-
73
3
1
Answers
Answer:
3
Step-by-step explanation:
3 × 3 = 9
( 3 + 3 + 3 = 9 )
______________________________________
The sum of two numbers is 32. One number is 10 more than the other. Find the numbers
Answers
Answer:
12 and 10
Step-by-step explanation:
Answer:
11 and 21
Step-by-step explanation:
Let the first number equal x. If the first number, the second number is ten more, and can represented as x + 10. Now, the sum is 32, so we can add the two numbers to get 32:
x + x + 10 = 32
2x + 10 = 32
2x = 22
x = 11
If the first number 11, the second number is 10 more, and therefore is 21.
Amplitude and Period
Determine the amplitude of the function y = sin x from the graph shown below:
a. 2
b. 1
c. 3
d. 4
Please select the best answer from the choices provided
Answers
Answer:
A. 2
Step-by-step explanation:
I calculated it logically
A window in the shape of a rectangle as shown below has a width of 2X +1 and the length of X squared minus 5X -7
Answers
Answer;
14x-12
Explanation:
Since we are not asked what to fine, we can find the perimeter of the rectangle
Perimeter = 2(L+W)
Perimeter = 2(2x+1+5x-7)
Perimeter = 2(7x - 6)
Perimeter = 14x - 12
Hence the perimeter of the rectangle is 14x-12
speeeeeeeeeeeddddddddddddddddd (might give brainlest
Answers
Answer:
6
Step-by-step explanation:
6 times 6 is 36 and the formula for area is
lxw(Length times width)
Please answer number 7 I’ll give brainliest thanks!
Answers
Please mark brainliest so that I may level up :)
help me! the answer is not unit
Answers
can someone help me find x
Answers
Answer:
x = 5
Step-by-step explanation:
Since this shape is a quadrilateral, the sum of the interior angles is 360.
Equation:
81 + 20x - 16 + 15x + 30 + 16x + 10 = 360
51x + 105 = 360
51x = 360 - 105
51x = 255
x = 5
Gavin and his friends want to share 1/3 of a cake equally. Gavin says that each friends will get 1/9 of the cake. Use the drop-down menus to explain whether or not Gavin is correct.
Answers
Answer:
Step-by-step explanation:
I put incorrect
Second box is 4
And third box is 4
And fourth box is 1/12
Answer:
Gavin is correct
Step-by-step explanation:
2 box is 3
3 box is 1/3
So the answer is 1/9
which expression represents the value of pi?
Answers
Simplify (5m - 4)2 using the square of a binomial formula.
A) 5m2 - 20m - 4
B) 25m2 – 40m + 16
C) 25m2 + 40m + 16
D) 5m2 – 40m + 4
Answers
Answer:
[tex]25m^{2} -40m+16[/tex]
Step-by-step explanation:
Rewrite (5m−4)^2 as (5m−4)(5m−4).
Expand (5m−4)(5m−4) using the FOIL Method.
[tex]25m^{2} -40m+16[/tex]
Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?
Answers
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
While studying a 100 square mile area of jungle, a researcher finds 50 monkeys. Predict how many monkeys might inhabit a 1,500 square mile jungle.
Answers
Answer:
750 monkeys (probable chance)
Step-by-step explanation:
100 : 50
100 square miles to a 2:1 ratio of 50 monkeys
Simply, insert the new area into the ratio to get the result.
1500 ---> 2:1
1500/2 = 750
1500:750
Thus, there would probably be 750 monkeys inhabiting a 1,500 square mile jungle.
Plz help me plzzz thank you if you do
Answers
=========================================================
Explanation:
We have c^2 + 2c, where 2 is the coefficient of the c term
This halves to 2/2 = 1, and then we square that to get 1^2 = 1.
Adding 1 to c^2+2c will result in c^2+2c+1, allowing it to be factored. This is because it's a perfect square
The rule we use is
(a+b)^2 = a^2 + 2ab + b^2
Need help!!!!!!!!!!!! Struggling
Answers
A = 28.26 sq yds
Step-by-step explanation:
diameter (D) = 6 yds
radius (r) = D/2 = 3 yds
A = πr^2
= (3.14)(3 yds)^2
= 28.26 sq. yds
Please help me I would appreciate it a lot
Answers
Answer:
Juan can consume 2.22 calories per day
Step-by-step explanation:
[tex]68.820 \div 31 \: day \: month \: \\ \\ = 2.22[/tex]
12 hrs 40 min + 10 hrs 30 min
Answers
Answer:
23 hours and 10 minutes