Step-by-step explanation:
a1=ar⁰=12 A2=ar¹=-6
a=12 ar=-6
12r=-6
r=-6/12
r=-1/2
a10=ar⁹
=12*(-1/2)⁹
=12*(-512)
=-3/128
S∞ = a1 / (1-r )
=12/(1-1/2)
=12*1/2
=6
The tenth term of the progression will be -3/128, and the sum to infinity will be 6.
What is geometric progression?The geometric progression defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
We have been given that the first term of a geometric progression is 12 and the second term is -6
So common ratio r = second term/first term = -6/12= -1/2
The tenth term of the progression will be
⇒ ar¹⁰⁻¹ = ar⁹
⇒ 12(-1/2)⁹
⇒ -12(1/512)
⇒ -3/128
The sum to infinity = a / (1-r )
The sum to infinity = 12/(1 - 1/2)
The sum to infinity = 12 × 1/2
The sum to infinity = 6
Thus, the tenth term of the progression will be -3/128, and the sum to infinity will be 6.
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WHAT IS 15.7188888888 X 18 TO THE POWER OF SIX DIVIDED BY 7 Plus 3
The equation 50=36.50+0.10m represent the additional number of messages roboerto can send with a budget of $50 .solve the equation to find the number he has left to send
Answer ASAP
All of the following have the same value except _____.
9 + (-6)
6 - 9
9 - 6
-6 - (-9)
Answer:
All of the following have the same value except 6-9.
Step-by-step explanation:
9+(-6)=POSITIVE 3
9-6=POSITIVE 3
-6-(-9)=POSITIVE 3
6-9=NEGATIVE 3
Hope this Helps
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Answer:
-6-(-9)
Step-by-step explanation:
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 8s−(5s+6)=12(20+6s)
Answer & Step-by-step explanation:
8s - (5s + 6)= 12(20+6s)
8s - 5s - 6 = 240 + 72s
3s - 6 = 240 + 72s
-246 = 69s
s= -246/69
s = - 3 13/23
Hope this helps!!!
Marva needs at least $130 to buy a
new dress. She has already saved
$58. She earns $8 an hour
tutoring. Write and solve an
inequality to find how many hours
she will need to tutor to buy the
dress.
Answer:
130=8x+58
Step-by-step explanation:
EZ!
Answer:
9 hours
Step-by-step explanation:1
130 = 58 + 8h
-58 -58
72 = 8h
÷8 ÷8
9 = h
9 hours
Evaluate 5|x³ - 2| + 7 when x = -2.
Answer:
57
Step-by-step explanation:
Step 1: Define
5|x³ - 2| + 7
x = -2
Step 2: Substitute and Evaluate
5|(-2)³ - 2| + 7
5|-8 - 2| + 7
5|-10| + 7
5(10) + 7
50 + 7
57
Answer:
57
Step-by-step explanation:
5×|-8-2|+7 ; x = -2
5×|(-2)^3-2|+7
5×|-8-2|=7
5×|-10|+7
5×10+7
50+7
57
(3,-7) and (9,-5) slope
Answer:
1/3
Step-by-step explanation:
I NEED HELP CAUSE I'M STUCK AS HECK
Answer:
$1000
Step-by-step explanation:
So there is 10,000,000 dollars in the company for the annual employee bonus. There are 10,000 employees in this company. This seems like a simple division problem. So you divide 10,000,000 by 10,000 and you get 1,000. So with that being said each employee should receive $1,000 in total.
This may be wrong if so I tried my best
Which of the following territories became part of Unified Italy?
A) Saxony
B) Sardinia
C) Hanover
D) Bavaria
Answer:
b, Sardinia
Step-by-step explanation:
which expression is equivalent to 54.5-6?
Answer: 5-6•54
Hope this helps (:
Which of the following is not a function?
Answer:I think the first 1 tell me if I’m right
Step-by-step explanation:
Why can you always multiply mixed numbers if you know how to multiply fractions???
Answer:
If mixed numbers are
a b/c and d e/fYou can write them as a sum of a whole and fraction and use the distributive property of multiplication:
a b/c × d e/f =(a + b/c) × (d + e/f) =ad + a(e/f) + d(b/c) + (b/c)(e/f)adding rational numbers:
after swimming 60 feet below the surface of the water, a whale swims up 30 feet. use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.
ANSWER:
A. The equation is -60 + 30 = 30. The whale is 30 feet below the waters surface.
B. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.
C. The equation is -60 + 30 = -90. The whale is 90 feet below the waters surface
D. The equation is -60 + (-30) = -30. The whale is 30 feet below the waters surface.
Answer:
First, in standard notation, we must define our zero.
In this case, would make sense to define the zero in the surface of the water.
(below is a number line so you can see the process to think this)
Then if the whale is swimming 60ft bellow the surface of the water, then the first position of the whale is:
-60
Now the whale goes up 30ft, then the new position of the whale is:
-60ft + 30ft = -30ft.
The correct option is A:
The equation is -60 + 30 = -30. The whale is 30 feet below the water's surface.
(you wrote that the equation was equal to +30 instead of -30 in the option A, i supposed that it was a typo)
Answer:
I belive the answer is A.
Step-by-step explanation:
i’m not sure need help! ANSWER QUICKKK PLZZ
Option D, 5^9 is the correct answer
Write the equation of a line that is parallel to y =1/2x + 9 and goes through the point (-2,2)
Answer:
y = 1/2x + 3
Step-by-step explanation:
The slope of a parallel line is the same as the original.
Find the new y-intercept.
y = 1/2x + b
2 = 1/2(-2) + b
2 = -1 + b
3 = b
y = 1/2x + 3
Best of Luck!
henry can write 5 pages of his novel in 3 hours at this rate how many pages can henry write in 8 hours
Answer:
Henry can write 13 pages in 8 hours.
it can also be written as 13.3
What is the domain of the relation?
Oa. {-1,0, 1, 3)
Oc. { -2,-1, 0, 1, 2, 3}
Ob.{-2, 0, 1,3}
Od. {0, 1, 2, 3}
Answer:
(03.01) The domain of a relation is the output (y) values of the relation the input (x) values of the relation a set of points that pair input values with output values x and y values written in the form (x, y)
{-2, -1, 0, 1, 2, 3} representing the domain of the relation.
What is a function?A relation is a function if it has only One y-value for each x-value.
To determine the domain of a relation, we need to identify all possible values for the input or independent variable.
In this case, without any further information, we can look for the set of numbers provided in the answer choices and determine which set includes all possible values for the input.
Looking at the given answer choices:
A. {-1, 0, 1, 3}
B. {-2, 0, 1, 3}
C. {-2, -1, 0, 1, 2, 3}
D. {0, 1, 2, 3}
Since there is no specific information or restrictions mentioned, the most inclusive set that covers all possible values for the input variable is {-2, -1, 0, 1, 2, 3}.
Therefore, {-2, -1, 0, 1, 2, 3}, representing the domain of the relation.
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Can someone help me with this algebra question? (algebra 1)
Answer:
x = -1
Step-by-step explanation:
so first rewrite the equation in numerical terms
5x + 6 = 1
now solve with inverse operations
5x + 6 = 1
-6 -6
5x = -5
/5 /5
x = -1
Dorothy is trying to estimate 20. She uses this table of values:
Square 4.02 4.12 4.22 4.32 4.42 4.52
Value
16.0 16.8 17.6 18.5 19.4 20.3
Square 4.62 4.72 4.82 4.92 5.02
Value
21.2 22.1 23.0 24.0 25.0
What should she do next to find 20 to the nearest hundredth?
O A. She should estimate that 20 is 4.50.
B. She should find the average of 4.4 and 4.5.
O C. She should find the squares of numbers between 4.5 and 4.6.
D. She should find the squares of numbers between 4.4 and 4.5.
Answer:
D
Step-by-step explanation:
im taking the test for math on apex
Answer:
Step-by-step explanation:
The nice correct answer is D your welcome
The basketball team sold pizzas for a fundraiser. They sold large pizzas for $15.00 and medium pizzas for $12.00. If the basketball team sold 96 pizza all together and made $1356, how many of each type of pizza did they sell?
Answer:
93 large, 3 medium
the first thing you gotta do is find the least amount of the smaller number that you can take away until it becomes a multiple of the largest number.
1356-12(1)
1344-12(2)
1332-12(3)
1320 12 factored into 1356 3 times before we reached a multiple of 15 so we subtract 3 from the total number of pizza sold and we have 93 large pizzas and 3 medium pizzas
disclaimer: as I am a human I might be wrong have a nice day
A jet travels 560 miles in 5 hours. At this rate, how far could the jet fly in 12 hours?
Step-by-step explanation:
560 miles = 5 hours
x miles = 12 hours
x= (12*560)/5
x = 1344 miles
Answer: 1344 miles
Step-by-step explanation:
See attached picture
4.5 is how many times the value of 1.5?
Answer:
3 times
Step-by-step explanation:
1.5 times 3 equals 4.5
HELP PLEASE! 50 POINTS AND WILL MARK BRAINLIEST.
Bobby charges $10. per lawn he mows, and an additional $5. per hour.
a) Find the independent and the dependent variables.
b) Write a linear function that models the wage of Bobby per lawn.
c) If Bobby work for 3.5 hours on a lawn, how much does he earn?
Answer: a) the dependent variable is y, the amount he earns depending on x, the independent variable. x is the number of hours.
b) y = 5x + 10
c) Bobby earns $27.50 for the 3.5 hour job
Step-by-step explanation: use the function y=5x + 10 substitute 3.5 for x
y = 5(3.5) + 10
y = 17.5 + 10
y= 27.5
What is 100 x 1.5 plz help me
Answer:
150
Step-by-step explanation:
The composition of transformations sometimes results in figures remaining similar. (True or false)
Answer:
true
Step-by-step explanation:
because it's TRUE
20 POINTS!!! I need someone's help fast, like seriously fast!!
1. Find the value for X in 15x + 5
2. Also find the value of X in 22x + 4
Answer:
For the first one the value of X will be 3 and the second one the value of X will be 5.5
Step-by-step explanation:
All you're really doing for expressions like this are dividing the whole number into the number with the variable. for example, i took 5 and divided it into 15x which gave me 3 so the X will equal 3. Hope I helped
11. Identify the properties below.
a. 5 + 6 = 6 + 5
b. 7 + (3 + 9) = (7 + 9) + 3
find the 49th term of a sequence with a=50 and D=4
Answer:
a=50
d=4
Then
Sn=n÷2 (2a+(n_1)d)
S49=49÷2 (2×50+(49-1)4)
=7154
Write as a decimal : twenty-eight ten- thousandths
Answer:
28.0001
Step-by-step explanation:
im pretty sure
A boat heading upstream (against the current) has a net speed of 80 mph, if the same boat heads downstream its speed is 110 mph. What is the speed of the current assuming it is less than the speed of the boat.
Answer:
The speed is 30mph
Step-by-step explanation: