Answer:
a diverge
b512000
c1000(2^30-1)
d
Step-by-step explanation:
t10=ar^9
=1000*2^9
s30=a(r^n-1)/r-1
=1000(2^30-1)/2-1
The geometric series given as 1000, 500, 250, 125,... is seen to be; Convergent.
What is divergent or convergent series?
A series is said to be divergent if it doesn't converge at any finite point. However, a series is said to be convergent if it converges at a finite point.
In this question, we see the series progressively reducing by one quarter of the previous number. Thus, it means that the sequence will converge close to zero and as such we can say taht the sequence is convergent.
Formula for sum of geometric series is;
Sₙ = a(1 - rⁿ)/(1 - r)
Thus;
S₁₀ = 1000(1 - 0.5¹⁰)/(1 - 0.5)
S₁₀ = 1998.05
Sum of first 30 terms is;
S₃₀ = 1000(1 - 0.5³⁰)/(1 - 0.5)
S₃₀ = 2000
Read more about convergent and divergent series at; https://brainly.com/question/15415793
#SPJ2
The remaining mass of radioactive iodine-131 is given by the formula M = Mo(2) 4/8 where M is the remaining mass in grams, Mo is the initial mass in grams, and t is the time in days. How many days does it take for the 726 grams to be reduced to half?
Answer:
the remNING MAS IS 345
Step-by-step explanation:
I DID THIS BEFORE
What is the quotient?
53
о
0 0
Step-by-step explanation:
quotient is a result of the number
divided by a number
and if u want to divided with zero so division are not exis
notecan't divided by 0
[tex]Help\: plssss[/tex]
[tex]-38x+43=-40x-57[/tex]
Answer:
x=-50
Step-by-step explanation:
I used the method of balancing equations:
Add -40x to both sides
-38x+43 + 40x = -40x-57+40x
Simplify:
2x+43 = -57
Subtract 43 from both sides:
2x+43 -43 = -57 -43
Simplify:
2x = -100
Solve for x
2x÷2 = -100÷2
x = -50
Hope this helped and brainliest please
Answer:
Solution of equation ( x ) = -50Step-by-step explanation:
In this question we have given an equation that is -38x + 43 = -40x - 57 . And we have to find the solution of this question that means we have to find the value of x .
So let's start our Solution : -
[tex] \hookrightarrow \: -38x+43=-40x-57 [/tex]
Step 1 : Subtracting 43 on both sides :
[tex] \hookrightarrow \: \: - 38x + \cancel{43} - \cancel{43 }= - 40x - 57 - 43[/tex]
On calculating further , We get :
[tex] \hookrightarrow \: - 38x = - 40x - 100[/tex]
Step 2 : Adding 40x on both sides :
[tex] \hookrightarrow \: - 38x + 40x = - \cancel{40x} - 100 + \cancel{40x}[/tex]
On calculating further , We get :
[tex] \hookrightarrow \:2x = - 100[/tex]
Step 3 : Dividing by 2 on both sides :
[tex] \hookrightarrow \: \frac{ \cancel{2}x}{ \cancel{2} } = \cancel \frac{ - 100}{2} [/tex]
On calculating further , We get :
[tex] \hookrightarrow \: \purple{\boxed{\frak{x = - 50}}}[/tex]
Henceforth , value of x is -50 .Verifying : -
Now we're verifying our answer by substituting value of x in given equation . So ,
-38x + 43 = -40x - 57-38 ( -50 ) + 43 = -40 ( -50 ) - 571900 + 43 = 2000 - 571943 = 1943L.H.S = R.H.S Hence, Verified.Therefore , our solution is valid .
#Keep LearningA tree is 30 feet tall. You measure the angle of elevation from the ground where you are
standing to the top of the tree and get 50 degrees. How far away from the tree are you?
Step-by-step explanation:
given :
h = 50 ft
the angle if elevation , a = 50°
find :
the distance , d =?
the answer:
tan a = h/d
d = h /tan a
= 50/ tan 50°
= 50 / 1,19
= 42,02 ft
Let's see
tan50=Perpendicular/Basetan50=30/BaseBase=30/tan50Base=25.17ftPlease help! Hurry!!
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I see you already got other answers but I'm going to offer a more in depth explanation to help with similar questions in the future.
The equation you have here is in the form of y = mx + b
You may have seen this in one of your lessons, maybe refered to as slope, y-intercept form?
We have y = -6x + 640
If we break it down we can see how this is in y = mx + b form.
y is the ounces of water in a water cooler
x is the number of paper cups filled
-6 is our m
and 640 is our b
The question is asking about 640 (our b) so I will talk about that first.
This is the y-intercept, the point where, if we were to graph this (see attachment, green dot on the line), that the line would cross the y-axis. This is the point where x is zero.
In our case this would be the amount of water in the cooler when we have filled zero paper cups with water. Hence the answer being D.
Now I will explain the m value, -6 in this case.
This is the rate of change (or slope).
For this question it is how much water we take out (negative value) per paper cup. In other words, how much water goes into each paper cup, -6 ounces.
Take a look at the second attachment. You can see that I go 6 hops down and 1 hop right (yellow line). This is because we always view our m value as a fraction.
In this case, because we have -6, it appears to not be a fraction but a whole number. Always remember that any whole number is just a fraction over 1. We can rewrite our -6 as -6/1.
Slope is written as rise/run. This means that we rise (vertical, up & down) by our top (numerator) value (in this case go down 6, because the 6 is negative) and run (horizontal, left & right) by our bottom (denominator) value (in this case go right 1, because the 1 is positive).
***Remember: positive rise, go up; negative rise, go down. Positive run go up; negative run go down.
Hope this will help you in the future!
A car dealer pays $10,200 for a car. The Dealer has a goal of making
25% on the sale of the car. For how much should the dealer sell the
car?
2/7 divided by 3/8 its for math class and I need the answer quick
Please help! Also real quick you can only put 3 digits!!
Answer:
Can you help me............. In my question
Kinsley is refinishing her wooden deck. She completed 10 square yards over the weekend,
and during the week she will refinish square yards per day.
Write an equation that shows how the total number of square yards refinished, y, depends on
the number of weekdays Kinsley works, X.
The linear equation that shows the total number of square yards refinished after x weekdays is given by:
y = 10 + 8x.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
10 square yards have already been completed over the weekend, hence the y-intercept is of b = 10.Researching the problem on the internet, it is found that for each day, 8 square yards are completed, hence the slope is of m = 8.Thus, the equation is given by:
y = 10 + 8x.
More can be learned about linear equations at https://brainly.com/question/24808124
can you guys give me a serious answer please?
Answer:
800 bacteria
Step-by-step explanation:
Answer of this question depend upon number of hours at the end of day
Let Take Full Day of 24 hrs
Colby bacteria will doubled 12 times ( doubled once in 2hrs => 24/2 = 12)
Colby bacteria at end of day = 50 * 2¹²
Jaquan bacteria will doubled 8 times ( doubled once in 3hrs => 24/3 = 8)
Let say Jaquan bacteria at start of Day = J
Jaquan bacteria at end of day = J * 2⁸
Equating Both
J * 2⁸ = 50 * 2¹²
=> J = 50 * 2⁴
=> J = 50 * 16
=> J = 800
Jaquan will start with 800 Bacteria
Point A is located at (-2, 4). After it is transformed, point A' is located at (2, 4). What could the transformation be?
A. reflection in the y-axis
B. A translation 4 units to the right
C. A rotation of 90° around the origin
D. A transiation 4 units up
Evaluate the expression 62 + x-x2 for x=3
Answer:
56
Step by step explanation:
[tex]62+x-x^2\\\\\text{When x = 3}\\\\62+3 -3^2 = 62+3-9 = 65-9 = 56[/tex]
Kerri planted 36 sunflower seeds in equal rows. Which could NOT be a way Kerri arranged the seeds?
HELP I ONLY HAVE 1 DAY (TOMORROW)
Answer:
Give options :/
Step-by-step explanation:
Write the equation of the parabola in standard form.
Calculation Tip: Multiply out the squared term and distribute.
y=3(x-1)^2+2
Darius wants to create a large mural to cover part of his wall. He drew a sketch of his design to
determine the amount of canvas he needs. The area of the design was 0.4 square feet. If the
actual mural will have dimensions 6 times that of the design, how many square feet of canvas
will Darius need?
Model mural::
L*W = 0.3 sq. ft
--------------
Actual mural::
(5L)(5W) = 25*LW = 25*0.3 = 7.5 sq ft.
how do u find law of conservation
Answer:
the total mass of the products is equal to the total mass of the reactants
Step-by-step explanation:
The sum of the relative formula masses of the reactants is equal to the sum of the relative formula masses of the products.
the height of a lamp is 100 centimeters. how tall is the lamp in inches?
Answer:
39.37 in
Step-by-step explanation:
Mr. DeSiena wants to rent a car from Sierra Autos. Mr. DeSiena has drawn the graph of the line to help him figure out how much it will cost him to drive different distances. On the graph of the line, x represents the number of miles a car is driven, and y represents the charge for driving that many miles. If Mr. DeSiena has budgeted $150 to pay for his car rental, what is the maximum number of miles that he can afford to drive?
A.50 miles
B.75 miles
C.100 miles
D.200 miles
plssss i need the answer quick!!
Answer:
WFF
Step-by-step explanation:
savoy..it's me Wolfie it's been so long, I really hope you remember me...
Help help help help help help
Answer:
173 degrees
Step-by-step explanation:
we know AED + AEB + BEC + CED = 360
AEB = 112
to find BEC, we have B + BCE + BEC = 180 because they form a triangle. so BEC = 180 - B - BCE = 180 - 73 - 79 = 28
to find CED, follow the same steps as BEC: 180 - 37 - 96 = 47
now AED = 360 - AEB - BEC - CED = 360 - 112 - 28 - 47 = 173
Solve the inequality for x
Answer:
answer recent question of my pr.ofil.e
Answer:
x ≥ -1
Step-by-step explanation:
Hello!
Solve for x by isolating the variable.
Solve for x-1 ≤ 5x + 4 => subtract 4 from both sidesThe inequality is true for all values of x greater than or equal to -1.
CAN ANYONE HELP? ILL GIVE BRAINLIEST
Answer:
Odd: f(-x) = -f(x)
Step-by-step explanation:
Odd: f(-x) = -f(x)
f(-1) = 5
-(f(1)) = 5
Pls help! It's almost due soon!
Answer: Reflection across the y-axis
Step-by-step explanation:
A reflection over a y-axis means that the original point (x, y) becomes (-x, y)
The original point (-2, 1) should become (-(-2), 1) which becomes just (2, 1).
(2, 1) is the reflected point hence it is a reflection across the y-axis
Please help me out it'd be apprieciated
Answer:
d
Step-by-step explanation:
I got it right on the test
The radius of a circle is 3 inches. What is the circle’s area
Answer:
a= 28.27
Step-by-step explanation:
[tex]a=\pi r^2[/tex]
[tex]a=\pi 3^2\\a=28.27[/tex]
What is the name of the relationship between 1 and 4?
Answer:
ALTERNATE INTERIOR ANGLES is the answer
Answer: the answer is the last one . Alternate interor angles
can someone help me with this asap (algerbra)
PEMDAS
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction.
First, divide 3 from both sides of the equation:
[tex]\frac{(3x^2)}{3} = \frac{(48)}{3}[/tex]
[tex]x^{2} = \frac{48}{3}\\ \\x^2 = 16[/tex]
Next, isolate the variable, x, by rooting both sides of the equation:
[tex]\sqrt{x^{2} } = \sqrt{16}\\ x = \sqrt{16} = \sqrt{4 * 4}[/tex]
x = ±4
C) ±4 is your answer.
~
You are riding the bus to school and you realize it is taking longer because of all the stops you are making. The time it takes to get to school measured in
minutes, is modeled using the function g(x) = x - 3x + 4x - 5, where x is the number of stops the bus makes. If the bus makes 2 stops after you board, how
long does it take you to get to school?
AA. 1 minute
B. 3 minutes
C. 7 minutes
D. 11 minutes
Answer:
-1
Step-by-step explanation:
g(2) = (2) - 3(2) + 4(2) - 5
g(2) = 2 - 6 + 8 - 5
g(2) = 2 - 6 + 3
g(2) = 2 - 3
g(2) = -1
The notation arcsinx represents the inverse sine function.
• A. True
•
B. False
Answer: False
Step-by-step explanation:
The lower case letter denotes a relation, not a function
Find f(2) if f(x) = 3x3 - 12x2
ANSWER CHOICES IN PICTURE
please show how you got answer:)
i will give brainliest!
PLS HELP ME ILL GIVE YOU BRAINIEST!!