Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The sum to infinity of a GP is
[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1
where a is the first term and r the common ratio
Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus
[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
1-1/2+1/4.....
[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]
Find the slope of the line that passes through:
(-4,7) and (-6, -4)
Answer:
[tex]\frac{11}{2}[/tex] or 5.5
Step-by-step explanation:
In order to find the slope of a line using two points on a graph, you must use
[tex]y_2-y_1/x_2-x_1[/tex]
Pluging in the points (-4,7) and (-6, -4) to the formula you will get:
[tex]\frac{-4-7}{-6+4} =\frac{-11}{-2} =5.5[/tex]
The equation for the line would be [tex]\frac{11}{2}[/tex]x+29
z1 =3+4i and z2=4+3i then what is the relation of z1 and z2?
The modulus of the functions z₁ and z₂ will be same.
What is Modulus function?
The modulus function is the absolute value of a positive or negative number.
Given that;
The functions are,
⇒ z₁ = 3 + 4i
⇒ z₂ = 4 + 3i
Now,
Since, The functions are,
⇒ z₁ = 3 + 4i
⇒ z₂ = 4 + 3i
Hence, The modulus of the functions are find as;
⇒ | z₁ | = √ 3² + 4²
⇒ | z₁ | = √ 9 + 16
⇒ | z₁ | = √ 25
⇒ | z₁ | = 5
And, | z₂ | = 4 + 3i
⇒ | z₂ | = √ 4² + 3²
⇒ | z₂ | = √ 16 + 9
⇒ | z₂ | = √ 25
⇒ | z₂ | = 5
Thus, The modulus of the functions z₁ and z₂ will be same.
Learn more about the modulus function visit:
https://brainly.com/question/24368848
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The probability of rolling a 4 on a number cube is . If you were to roll the cube 48 times, you would expect to get a 4 around 8 times (1/6 - 48 = 8). You simulate 48 rolls How many 4s would make you question your model?
A. 8
B. 10
C. 6
D. 24
Answer:
D. 24
Step-by-step explanation:
If you are making a random model of 48 rolls 24 is half the rolls which is far too many results of the number 4 to be a sound and random model.
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. TInterval (13.046,22.15) x overbarxequals=17.598 Sxequals=16.01712719 nequals=50 a. Express the confidence interval in the format that uses the "less than" symbol. Given that the original listed data use one decimal place, round the confidence interval limits accordingly. nothing Mbpsless than
Answer: [tex]13.046< \overline{x}<22.15[/tex]
Step-by-step explanation:
Let x be the random variable that represents the data speed.
Given, Confidence interval for population mean : (13.046, 22.15)
Let [tex]\overline{x}[/tex] be the sample mean.
We need to write the confidence interval in "less than" format.
less than sign → <
Confidence interval in "less than" format will be:
[tex]13.046< \overline{x}<22.15[/tex]
solve this please thankyou
Answer:
(2,1)
Step-by-step explanation:
Uh help i don`t get this (ez question) :D
Answer:
Dividend divided by Divisor = Quotient
5 divided by 8 = 0.625
Step-by-step explanation:
5/6 divide (-13/7)
what does this equal?
Answer:
i think -35/78
Step-by-step explanation:
w over 5 = 3
w = ?
needs sum help
Answer:
w=15
Step-by-step explanation:
Solve for w by simplifying both sides of the equation, then isolating the variable.
Which ratio is equivalent to 4 to 5?
Answer: 8 to 10, 16 to 25, 40 to 50
Step-by-step explanation: If you have trouble wit this in the future just multiply each number by 2,3,4,5,6...
Answer:
Two are actually equivalent, 8:10 and 12:15
Marcus works at a coffee shop. He earns $10.25 each hour. Use marcus's time sheet for the week to answer the questions.
3. Marcus was offered a position which pays a salary of $150 every week and a 25 cent commission for each ice cream cone he sell. Marcus sells an average of 125 ice cream cones each week. How much will Marcus make in the new position. Compare this to how much he made for a week at his current job. She he take the new position? Why or why not?
Answer:
Should he take the new position?
He shouldn't not take the new position
Why or why not?
This is because he makes a lot more at his old job than his new position
Step-by-step explanation:
Please find attached to this answer, Marcus worksheet at for a week at the coffee shop
For his first job
Marcus works at a coffee shop. He earns $10.25 each hour.
Let the number of hour is = x
The equation is given as:
$10.25x
For a week
October 11, He worked from 5:45 - 12.00pm = 6 hours 15 mins = $61.5
For his
October 12, He worked from 5:45 - 1:00pm = 7 hours 15 mins = 71.75
October. 13
3. Marcus was offered a position which pays a salary of $150 every week and a 25 cent commission for each ice cream cone he sell.
Let the number of ice cream sells be equal to x
25cent = $0.25
$150 + $0.25× x
$150 + $0.25x
Marcus sells an average of 125 ice cream cones each week.
The amount Marcus makes in his new position in 1 week =
$150 + $0.25 × 125
= $150 + $31.25
= $181.25
Compare this to how much he made for a week at his current job.
Marcy makes more at his old job than his new position.
Should he take the new position?
He shouldn't not take the new position
Why or why not?
This is because he makes a lot more at his old job than his new position
A class is playing a game called “Guess my Number,” in which the number is an integer. The teacher gives these clues for the unknown number.
4 + h ≤ 7 and h + 1 > 3
What is the value of the unknown number, h?
Answer:
h=3
Step-by-step explanation:
you want h alone on one side of the equation and you must do the same to both sides, 4-4 cancels out the 4, 7-4=3 so h is greater than or equal to 3, next, 1-1 cancels out 1, 3-1=2 so h>2, therefore h=3
Answer:
h = 3
Step-by-step explanation:
You're welcome!
A shipping company specializing in big items, like couches and cars, charges a $99 handling fee plus $0.32 per pound. Write an equation representing the total cost to ship an item based on its weight.
Answer:
$0.32x + $99 = c (cost)
Step-by-step explanation:
First, the problem tells you that the company is charging $0.32 per pound. The phrase "per pound" tells us that the 32 cents is not a fixed amount, so it must be paired with a variable like x since any item could easily weigh more than one pound when shipping.
Next, the problem says there's a handling fee of $99 for each purchase. This is a fixed amount, meaning there will be no variable with it since this fee will always just cost $99. This fee will be added to the $0.32x, so it can be represented anywhere in the equation like "+ $99" or "$99 +".
Finally, just write each term as an equation and you're all set! There can be multiple ways to write the equation. For example, $0.32x + $99 = c is correct, but $99 + $0.32x = c is also correct!
Please help I’m not sure if I’m right
Answer:
C
Step-by-step explanation:
75.54*550=41,497.5
10<2x+2<16
Lol yea I’m dumb and I’m honors what abt it imma disappointment
Answer:
4 and 7
Step-by-step explanation:
Answer:
4<x<7
Step-by-step explanation:
10<2x+2<16 First, we can subtract 2 on all three sides.
-2 -2 -2
8<2x<14 Divide by 2 on both sides.
/2 /2 /2
4<x<7
Hope this helped you out!!! Be more positive about yourself...I promise it will help...and if you ever need help, just ask! Have a wonderful day :3
Treven and Carlos entered a hot dog eating
contest. Carlos ate 7 more than the amount of hot
dogs that Treven ate. Carlos ate 17 hot dogs. How
many hot dogs did Treven eat?
Write the equation and solve.
Answer:
10
Step-by-step explanation:
17-7=10
HELP!!!
1. Using the geometry tools below, construct a bisection of the line segment EF.
2. Using the geometry tools below, construct a copy of the angle ABC below.
Answer:
I need points sry
Step-by-step explanation:
After a bad break up, you decide to burn all the things a former boyfriend/girlfriend has given to you and any keepsakes. You have 50 items to put into the "pit" to burn. There are 85% of the items remaining at the end of 5 minutes. When will all your memories be gone?
Answer:
5.9 minutes
Step-by-step explanation:
85% of 50 items is gone in 5 minutes
42.5 items = 5 minutes
50 items = x minutes
42.5 items × x minutes = 50 items × 5 minutes
x = 50 items × 5 minutes/42.5 items
x = 5.8823529412 minutes
x ≈Approximately to 1 decimal place 5.9 minutes
All your memories be gone in 5.9 minutes
Find the midpoint of the line segment with the given endpoints.
1. (-6,3) and (-6,-1)
2. (-3,-1) and (0,9)
Answer:
1. (-6,1)
2. (-1.5,4)
Step-by-step explanation:
1. (-6,3) and (-6,-1)
Midpoint = [tex](\frac{-6+ -6}{2} , \frac{3 + -1}{2}) = (-6, 1)[/tex]
2. (-3,-1) and (0,9)
Midpoint = [tex](\frac{-3 + 0}{2} , \frac{-1 + 9}{2} ) = (-1.5,4)[/tex]
The question is in the picture. You will get 15 points and brainiest if you answer it. I need it asap as this is due in 12 minutes.
Answer:
constant proportanality is 12 k=12
Step-by-step explanation:
because 5 time 12= 60 and it keep going and going
Jill is baking a pumpkin pie. The recipe calls for 4 ⅓ cups of flour, but Jill has 2 ⅘ cups. How many cups of flour does Jill need?
Answer:
1 8/15
Step-by-step explanation:
We need to equal the denominators. We have 1/3 and 4/5, and we need to make the bottom numbers equal to each other. The closest common factor is 15 (which we got from 3 x 5). With the denominators solved, we now need to equal out the top numbers, or the numerators. 1 x 5 gives us 5/15, and 4 x 3 gives us 12/15. Then, we need to apply these to each variable. This gives us Jill's 2 12/15th cups of flour, and the recipe's call for 4 5/15 cups. We then subtract these from each other, giving us 1 8/15 cups of flour is needed from Jill.
please help me this is due in 20 min
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.
Let P represent the number of pizzas that Jacque buys.
What is the inequality ?
Answer:
7.50 + 14P < 60; 24 slices
Step-by-step explanation:
A 4-pack of museum tickets costs $30.28. What is the unit price?
Answer:
7.57
Step-by-step explanation:
30.28/4 = 7/57
The area of the composite shape shown is
ft2
6 ft
T
2 ft
1
5 ft
3 ft-
Answer:
To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.
Step-by-step explanation:
there
A ball is thrown directly upward from a height of 3 ft with an initial velocity of 20 ft/sec. The function s(t)=-16t^2+20t+3 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.
Answer:
#1: s'(t)= -32t+20
#2: -32t+20=0
t=2/3
#3: s(2/3)=-16(2/3)^2+20(2/3)+3=83/9
Step-by-step explanation:
first find the derivative of the original funtion #1
set the equation equal to 0 because when s't=0 is the maximum height
put the t at highest point into the funtion to solve for distance
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the slope of the line above?
A. - 2/3
B. - 3/2
C. 2/3
D. 3/2
Answer:
b
Step-by-step explanation:
Answer: -3/2
Good luck
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet away from the player. The height $y$y (in feet) of a second hockey puck is modeled by $y=x\left(0.15-0.001x\right)$y=x(0.15−0.001x) , where x$x$x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.
Answer:
The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further
Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further
Step-by-step explanation:
From the question we are told that
The maximum height of the first pluck is [tex]h_1 = 3 \ ft[/tex]
The height of the second height is mathematically represented as
[tex]$y=x\left(0.15-0.001x\right)[/tex]
=> [tex]y=0.15x -0.001x^2[/tex]
Generally at maximum height [tex]y' = 0[/tex]
So
[tex]y'=0.15 -0.002 x = 0[/tex]
=> [tex]x = 75 \ ft [/tex]
Here 75 ft is the horizontal distance the second pluck traveled at maximum height
So the maximum height of the second pluck is mathematically represented as
[tex]y=0.15(75) -0.001(75)^2[/tex]
=> [tex]y= 5.625 \ ft [/tex]
So comparing the maximum height of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father
Here’s another one plz help i’ll give u brainlest on this one to
Answer:
the answer is 4
Step-by-step explanation:
i think the answer is 4
What is the first step that is used to
solve the equation: 3(x+2)=4(x-1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!
Step-by-step explanation:
What is 8 x 10 to the 5 power
Ik this is easy but our teacher never taught us this
Answer:
800,000Step-by-step explanation:
8 x 10 to the power of 5
8 x 100000 = ?
800,000
Blank divided by six equals 14/6
Answer:
14 is blank
Step-by-step explanation:
and its the numerator of the fraction
___ ÷ 6 = 14/6
I got 14 on a calculator not sure if it's correct.
I took 14/6 and did multiplication since it's the opposite of division 14/6*6 = 14??
