So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
Learn more about infinite sum of geometric series here:
https://brainly.com/question/16037289
PLEASE HELP.
A group of bacteria has a population of 100,000. The growth rate is 20%. How much bacteria will there be in 10 years? Use the exponential formula.
Answer:
200,000 i don't know apologies if it's wrong
Step-by-step explanation:
100,000*.20*10
200,000*10
200,000
The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work
Answer:
length = 18 ft
Step-by-step explanation:
A(rect) = 9l
A(trap) = 1/2(9)(24+12) → 4.5(36) → 162
9l = 162
l = 162/9
l = 18
=====================================================
How to get the answer:
We first need to compute the area of the trapezoid
area of trapezoid = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 9*(12+24)/2
A = 9*(36/2)
A = 9*18
A = 162
The trapezoid has an area of 162 square feet.
---------
The rectangle also has an area of 162 sq ft.
area of rectangle = length*width
A = L*W
A/W = L
L = A/W
L = 162/9
L = 18
The length of the rectangle is 18 feet.
---------
Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.
Find x .
Please help I’m begging
Answer:
x = 103
Step-by-step explanation:
Using the far right intersection, we can figure out that in inner angle is 32 degrees.
32 + 34 = 66 which is the angle of the left side of the middle cross.
x = 37 + 66 = 103
A bank account, initially with $3200, earns interest at a rate of 5.5% compounded monthly. Write an equation for the amount of money in the account at a time,x.
Answer: The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.
Step-by-step explanation:
Can someone please help me with this and tell me the points?
Answer:
Graph: Refer to attached image
Solution: (-5,-3)
Step-by-step explanation:
First graph to two equations.
Refer to the image attached to see what the equations would look like when graphed.
Wherever they intersect is the solution.
They intersect at (-5,-3) therefore (-5,-3) is the solution to the system of equations
It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
Simplify.
4x2+2xx2+x−28x2+4x3x2+10x+8
Answer:
3x+4/2(x-1)
Step-by-step explanation:
Took the test
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Brainliest to a person who gets it right.
Answer:
21 minutes
Step-by-step explanation:
180 divided by 3 is 60 wpm
1260 divided by 60 is 21
Ali uses 1.5 cups of flour to bake a dozen cupcakes. at this rate,how many cups of flour will she need to bake 30 cupcakes?
A.3.75c
B.3c
C.2.4c
D.2.75c
Answer:
A
Step-by-step explanation:
1.5 c flour = 12 cupcake
0.75 c flour = 6 cupcake
1.5 + 1.5 + 0.75 = 3.75 c flour
A plumber charges $8.00 per hour for her work, plus a $27 materials fee. If you pay her $107.00, for how many hours did the plumber work?
Answer:
10 hours
Step-by-step explanation:
Amount paid= material fee + ($8)(number of hours worked)
Let the number of hours the plumber worked be t.
$107= $27 +$8t
107 -27= 8t
80= 8t
8t= 80
Divide both sides by 8:
t= 80 ÷8
t= 10
Thus, the plumber worked for 10 hours.
Ryan, Alec and Amani went to ShopRite to buy boxes of fruit. Ryan bought 2 boxes of strawberries, 1 box of apples, and 4 boxes of blueberries for $34. Alec bought 3 boxes of strawberries, 2 boxes of apples, and 2 boxes of blueberries for $35. Amani bought 5 boxes of strawberries, 3 boxes of apples, and 2 boxes of blueberries for $49. How much does an individual box of strawberries, apples, and blueberries cost?
Answer:
5.
Step-by-step explanation:
First, we need to add all the number of baskets Ryan bought first. The equation should look something like this;
34÷(2+1+3)
Our answer is 4.8571428571. However, to put it in simplest terms, we can just say 4.85.
Now, we just keep changing up the numbers but with the same division we were using for Ryan's price on the fruit.
Alec's: 35÷(3+2+2)=5
Amani's: 49÷(5+3+2)=4.9
Notice how all the answers we get answers related to 5. If we all round the numbers, we actually get 5!
So, I believe your answer is 5. I'm terribly sorry if I'm incorrect. (If I am, I will try to fix it in the comments for you)
Please help me!!!! Thank you
[tex]\huge \rm༆ Answer ༄[/tex]
In the given question, the two sides of the given triangles are parallel, so the the two corresponding angles of the Triangles are equal to one another.
Therefore, the Triangles are similar by AA similarity criteria ~
And since they are similar, the ratio of sides of one Triangle will be equal to ratio of corresponding sides of the other Triangle.
that is ~
[tex] \sf \dfrac{5}{7} = \dfrac{5 + 6}{y} [/tex][tex] \sf y = 11 \times \dfrac{7}{5} [/tex][tex] \sf y = \dfrac{77}{5} [/tex][tex] \sf y = 15.4[/tex]Hence, value of l = 15.4 units ~
how to find a and b in the equation below.
3(a+b)=28
we have: 3(a+b)=28 => a + b = 28/3
=> a = 28/3 - b and b = 28/3 - a
ok done. Thank to me :>
One package of blueberries cost $3. How many packages of blueberries can you buy for $9?
Round the answer to the nearest whole number!
Answer:
3 packages
Step-by-step explanation:
To find how many packages you can buy for $9, you have to divide 9 by 3.
Since each package costs $3.
So, 9/3 = 3
So you can buy 3 packages of blueberries.
Answer:
3 Packages
Step-by-step explanation:
1 package costs $3
2 packages cost $6 (because 3+3=6)
3 packages cost $9- And we have exactly $9 so we can buy 3 packages.
What is the sum of 15/6
Answer: b because i did the eqaution on paper
Step-by-step explanation:
need help in a math question
Answer:
- [tex]\frac{7}{6}[/tex]
Step-by-step explanation:
I hope this helps
Question 3(Multiple Choice Worth 1 points)
(01.05 LC)
Which calculation can be used to find the value of y in the equation y3 = 27?
y=y equals 27 over 3
y=y equals cube root of 27
y=y equals square root of 27 over 3
y=y equals square root of 27
Answer:
y = y is equal to 27 over 3
Step-by-step explanation:
being y3 = 27
the y3 is found by multiplying and is passed to the other side by dividing, becoming y = 27/3
Mark has already run 33.4 miles this week. He can run 2.5 miles in one hour. Construct an equation that represents the total number of miles run based on how many hours he runs for. What is the total number of miles he ran if he runs for 17 hours?
Answer:
y = 2.5x + 33.4, y = 75.9 miles
Step-by-step explanation:
Equation is y = 2.5x + 33.4
17 = 2.5 x + 33.4
y = 2.5 (17) + 33.4
y = 42.5 + 33.4
y = 75.9 miles
whats 8 to the power of 6 please
Answer:
262144
Step-by-step explanation:
Hope I was able to help you with your question , have a great day :)
Answer:
Step-by-step explanation:
I think 8 to the power of 6 Is 262144
please help with question 3
Answer:
p = - [tex]\frac{2}{3}[/tex] , p = 2
Step-by-step explanation:
Using the discriminant to solve for p
Δ = b² - 4ac
The condition on the discriminant for 2 eeal and equal roots is
b² - 4ac = 0
Given
p²x² - (p + 2)x + 1 = 0
with a = p² , b = - (p + 2) , c = 1 , then
(- (p + 2) )² - 4p² = 0
(p + 2)² - 4p² = 0
p² + 4p + 4 - 4p² = 0
- 3p² + 4p + 4 = 0 ( multiply through by - 1 )
3p² - 4p - 4 = 0 ← in standard form
(3p + 2)(p - 2) = 0 ← in factored form
Equate each factor to zero and solve for p
3p + 2 = 0 ⇒ 3p = - 2 ⇒ p = - [tex]\frac{2}{3}[/tex]
p - 2 = 0 ⇒ p = 2
The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0. 75 cosine (StartFraction pi Over 30 EndFraction (t minus 15)) 8. Which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12.
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
1)
Find the value of x and y
there are 1200 students in a school. if 2/5 are girl what is the number and percentage of boys? find it
Step-by-step explanation:
Hope it will help you...
Please help me!
ty ty :)
Answer:
The answer is steeper.
I'm not sure about the slope thingy. But the line looks Steeper instead of flatter
Can you help me answer this one please ?
Answer:
d. Right 5 and down 3
Step-by-step explanation:
If you have a given graph and then find that it is altered, the changes to the x (something added to or subtract from x) will be on the graph by translating (sliding) the graph left or right. Horizontal changes are probably the opposite of what they seem like they should be: x+_ moves the graph left and x-_ moves the graph right.
A number added on to the end of the equation will shift (translation, again) the graph up (a number added on) or down (a number subtracted). So in this case the x-5 moves the graph to the right 5 units and the - 3 at the end of the equation moves the graph down three units.
who ran faster, noah or lin?
HELP PLS! The dotplot below displays 26 students' scores on a 30-
point statistics quiz.
Which of the following statements best describes the
dotplot?
Statistics Quiz
O The distribution of quiz scores is skewed left with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is skewed right with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 24 and varies from
12 to 30. There are possible outliers at 12, 14, 15,
and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 26 and varies from
20 to 30. There are possible outliers at 12, 14, 15,
and 16.
10
30
15 20
25
Scores (in Points)
Answer:
Skewed right center around varies from 12 to 30. Possible outliers 12, 14, 15, 16.
The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
What is the correct option?The dot plot is skewed to the right because majority of the data occur to the right of the dot plot.
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. Outliers usually occur with a frequency of one. Looking at the dot plot, it can be seen that the numbers that range from 12 to 16 have only one dot.
To learn more about outliers, please check: https://brainly.com/question/27197311
SPJ2
HELPPPPPPPPPPPPPpppp
8.722 / (-3.56)
Expand [tex]\frac{8.722}{-3.56}[/tex] by multiplying both numerator and denominator by 1000.
[tex]\frac{8722}{-3560}[/tex]
Reduce the fraction [tex]\frac{8722}{-3560}[/tex] to the lowest terms by extracting and cancelling out 178.
-[tex]\frac {49}{20}[/tex] = -2.45
45. You decide to market your own custom computer software. You must invest $3,255 for
computer hardware, and spend $2.90 to buy and package each disk. If each program sells
for $13.75, write a system of equations and determine how many disks you must sell to
break even.
the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon. a write and solve an algebraic equation to find out how many miles they will travel. Explain your steps. b. Write and solve an algebraic equation to find out how many gallons of gas they will use. Explain your steps. c. Write and solve an algebraic equation to find out how much ortiz's will spend on gas round trip. Explain your steps. d. suppose you know the total cost of the gas, do not know the price pe gallon. Explain how you would work backward to solved the problem
Answer:
a. 2116 miles
b. 105.8 gallons
c. $305.76
d. cost per gallon = total cost / number of gallons = total cost/105.8
Step-by-step explanation:
a.The round-trip distance is the sum of the distances there and back. It is double the one-way distance.
round-trip distance = 2 × one-way distance
round-trip distance = 2 × 1058 miles = 2116 miles
__
b.The gas used will be the distance divided by miles per gallon.
gas used = round-trip distance / miles-per-gallon
gas used = (2116 mi)/(20 mi/gal) = 105.8 gal
__
c.The cost of gas will be the product of cost per gallon and number of gallons.
cost of gas = cost-per-gallon × gallons
cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76
__
d.The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...
(cost of gas)/gallons = cost-per-gallon
For the same trip, the number of gallons is 105.8, so the equation becomes ...
cost-per-gallon = (cost of gas)/105.8