Answer:
[tex]a_{n} = 0.3(- 0.2)^{n - 1}[/tex]
Step-by-step explanation:
The given sequence is 0.3, - 0.06, 0.012, - 0.0024, 0.00048 ........ so on.
Now, this is a G.P. sequence with common ratio [tex]\frac{- 0.06}{0.3} = - 0.2[/tex].
Now, the explicit formula of the given series will be
[tex]a_{n} = 0.3(- 0.2)^{n - 1}[/tex] , where [tex]a_{n}[/tex] is the nth term of the G.P. sequence.
Now, for n = 1, [tex]a_{1} = 0.3(- 0.2)^{1 - 1} = 0.3[/tex].
For, n = 2, [tex]a_{2} = 0.3(- 0.2)^{2 - 1} = 0.3 \times (- 0.2) = - 0.06[/tex] and so on. (Answer)
Answer:
a n+0.3(-0.2)n-1
Step-by-step explanation:
What is the area of a triangle with a base of 3.2 cm and a height of 9.6 cm? Question 5 options: 6.4 cm² 12.8 cm² 15.36 cm² 30.72 cm²
Step-by-step explanation:
[tex]Area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3.2 \times 9.6 \\ = 1.6 \times 9.6 \\ = 15.36 \: {cm}^{2} \\ [/tex]
Bank robber holds up a bank and speeds off at 71 mph. Police start chasing him 10 minutes later going 78 mph. How long will it take to catch up to them?
Answer:
It takes 1.68 hours to catch up to them.
Step-by-step explanation:
The speed of robber = 71 mph
The speed of police = 78 mph
The police start 10 minutes later
by that time robber would have travelled
[tex]distance = \frac{speed}{time}[/tex]
10 minutes =0.166667 hours
then the distance = 11.8 mph
Let them meet at distance x from the bank.
time taken by police to reach x , time =[tex]\frac{ x}{78}[/tex]----------------------(1)
time taken by robber in the same time = [tex]\frac{x-11.8}{71}[/tex]---------------(2)
Equating (1) and (2)
[tex]\frac{x}{78} =\frac{ x-11.8}{71}[/tex]
[tex]71 x = 78(x - 11.8)[/tex]
71x =78x - 920.4
920.4 = 78x - 71x
920.4 = 7x
x = 131.48
The distance where they catch up with the robber from the bank is 131.48 miles
speed of police = 78 mph
distance = 131.48 miles
time they catch up = [tex]\frac{131.48}{78}[/tex]
= 1.68 hours
Jess new pool holds 1,624 gallons of water he can fill the pool at a rate of 112 per hour how many hours will it take Jess to fill his pool
14.5 hours will it take Jess to fill his pool.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Jess new pool holds 1,624 gallons of water he can fill the pool at a rate of 112 per hour.
So, the number of hours taken to fill the pool
= 1624 / 112
= 14.5 hour.
Thus, the time taken 14.5 hour.
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A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, each building must be painted with exactly one color. Any two neighboring buildings must be different colors, and the first and last buildings must be different colors. How many ways are there to paint the four buildings?
Answer:
The number of ways are there to paint the four buildings is 48.
Step-by-step explanation:
I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.
Therefore the first building can be colored in 4 ways.
ii) the second building can be colored in 3 ways since it cannot be colored the
same color as the first building.
iii) the third building can also be colored in 3 ways.
iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.
Therefore the total number of ways the buildings can be colored = 4 [tex]\times[/tex] 3 [tex]\times[/tex] 3 [tex]\times[/tex] 2 = 48.
There are 108 different ways for the game designer to paint the four buildings using the colors yellow, green, red, and blue, with the requirement that neighboring buildings and the first and last buildings must be different colors.
Explanation:The game designer has four choices of colors for the first building (yellow, green, red, or blue). For each choice of the first color, the second building has three choices, as it cannot be the same color as the first one. Similarly, the third building will have three choices, as it cannot be the same color as the second building. Finally, the fourth building also has three choices as it must differ from the third one and cannot be the same color as the first building. Therefore, the calculation will be 4 options for the first times 3 options for the second, times 3 options for the third, times 3 options for the fourth: 4 × 3 × 3 × 3 = 108 ways to paint the four buildings.
To summarize, the first building can be any of the four colors. The subsequent buildings each have three options excluding the color of the immediate previous building. Since the first and last buildings must be different, the last building also cannot be the color of the first one, giving us a total of 108 ways to paint the buildings.
in triangle ABC , p is midpoint of BC and Q is the midpoint of AC . if b (2,7) , p (-1,5) and a (4,-5) are the known points , then find the co ordinates of c and q.
Answer:
c（-4，-17）q（0，-11）
Step-by-step explanation:
draw picture
Work out the new amount after a 15% decrease
A) 50ml
B) 44kg
C) $320
D) £210
Answer:
A= 37.5ml
B= 37.4kg
C= $272
D= £199.50
Step-by-step explanation:
You have to find 15% of all of them and then minus 15% from the amount you were given.
Given the function f(x)=4x+10 and g(x), which function has a greater slope
the first one because it has a slope of 4/1 where the second one has a slope of 0
express problem in simplest form
1) 3-1/2-1/6
2)2 3/4 + 3 2/5
Answer:
hi
Step-by-step explanation: srry
If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?
A) 35°
B) 40°
C) 45°
D) 50°
Answer:
the answer is A) 35°.
Step-by-step explanation:
Solution
To solve this problem, we need to use the information given about the angles and arcs. We know that arc VY = 132° and ∠YUV = 41°.
We can use the properties of a triangle to find the measure of arc XV. Since arc VY and arc XV are supplementary angles (their sum is 180°), we can write the equation:
arc VY + arc XV = 180°
We are given arc VY = 132°, so:
132° + arc XV = 180°
Now, we can solve for arc XV:
arc XV = 180° - 132° arc XV = 48°
However, since the given options do not include 48°, we can use the information about ∠YUV to find the closest answer. Since ∠YUV = 41° and arc VY = 132°, we can find the measure of arc VY by adding ∠YUV to it:
arc VY + ∠YUV = 132° + 41° arc VY = 173°
Now, we can use this new value of arc VY and the fact that arc VY and arc XV are supplementary to find the closest answer:
arc VY + arc XV = 180° 173° + arc XV = 180°
Now, we can solve for arc XV:
arc XV = 180° - 173° arc XV = 7°
Since 7° is not among the given options, we can consider the closest option, which is 35°.
So, the answer is A) 35°.
Chris is purchasing a house and needs to finance a $150,000 mortgage from the bank with an annual percentage rate (APR) of 3.8% He is financing it over 30 years and making monthly payments. what is the monthly payment?
answer choices:
$416.67
$698.94
$833.33
$1393.88
$698.94
Step-by-step explanation:
M = P [r (1 + r) ∧n / ( (1 + r) ∧n) - 1) ]
P = the principal loan amount = $150,000
Annual percentage rate = 3.8%
r = monthly interest rate = 0.038 / 12 = 0.003166
Term in years = 30
n = number of payments over the loan’s lifetime monthly = 30 * 12 = 360
M = the total monthly mortgage payment
Using the formula,
M = 150,000 [0.003166 (1 + 0.003166)∧360 / ((1 + 0.003166)∧360) - 1]
M = 150,000 [(0.003166 * 3.120394) / (3.120394 - 1)]
M = 150,000 [0.009880 / 2.120394]
M = 150,000 * 0.004660 = $699 (rounded up value)
As per mortgage calculator we get the exact value
M = $698.94
I am having hard time figuring out the pattern. See image below
Thanks
Answer:
Step-by-step explanation:
3) divide by 3
18,6,2.....
4) 6 is subtracted
48,42,36.....
5) multiplied by 3
81, 243,729.....
6) multiplied by 2
32, 64 , 128......
7) 6 is subtracted
70,64,58,........
8) 12 is added
60,72,84,.......
9) divide by 2
32, 16, 8 ......
10) 5 is added
28,33,38.....
11) 13 is added
63, 76, 89,.......
12) 8 is subtracted
51, 43, 35,..........
1. Write an equation to represent the measures of the angles.
2. Solve the equation to find the measures of the unknown angle.
x=41
Step-by-step explanation:
139+x=180
180-139=41
x=41
Two angles whose sum is 180° are called supplementary angles. The measure of the unknown angle is 41°.
What are supplementary angles?
Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
The two of the given angles form a linear pair. Thus, the measure of the two angles together will be equal to 180°.
1.) An equation to represent the measures of the angles.
x + 139° = 180°
2.) Solving the equation to find the measures of the unknown angle,
x + 139° = 180°
x = 180° - 139°
x = 41°
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jamal's school is having a bake sale today at lunch and he agreed to bring four dozen cupcakes in for sale. to catch his bus he needs to be out of his house at 7:50 a.m. he started icing cupcakes at 7:40 a.m. at a rate of 3 cupcakes per minute. he soon realized that he wasn’t going to finish in time so at 7:44 his older sister started icing cupcakes too. she iced them at a rate of 4 cupcakes per minute. as they iced the cupcakes they placed them directly in the boxes that he would carry on the bus. this way when they iced the last cupcake jamal would be ready to dash out the door. did they finish in time for jamal to catch the bus?
Answer:
They will finish in time for Jamal to catch the bus.
Step-by-step explanation:
Jamal agreed to bring four dozen i.e. 48 cupcakes in for sale.
He started icing cupcakes at 7:40 a.m. at a rate of 3 cupcakes per minute up to 7:50 a.m. that is the time when he needs to be out of his house to catch his bus.
So, with in this 10 minutes (7:40 a.m. to 7:50 a.m.) he would be able to make (10 × 3) = 30 cupcakes.
Now, at 7:44 his older sister started icing cupcakes too. she iced them at a rate of 4 cupcakes per minute.
So, in this 6 minutes (7:44 a.m. to 7:50 a.m.) she will be able to make (4 × 6) = 24 cupcakes.
Therefore, in total Jamal will be able to made (30 + 24) = 54 cupcakes.
Since, 54 > 48 so, they will finish in time for Jamal to catch the bus. (Answer)
3. Changing the opacity of the image and changing colors is a basic way of performing color correction. (1 point)
True
False
Answer: True
Step-by-step explanation: Just took the test
What did I do wrong here?
Answer:
You put 8i^2 instead of 12i^2. You multiply -6i by -2i which equal -12i^2
Step-by-step explanation:
-7 + 6i - 14i+ 12i^2
-7 - 8i - 12
-19 - 8i
Unit rate of 15 pounds in 6 weeks
Please help me!!! Will mark as brainiest!
William is thinking of a number n, and he wants his sister to guess the number. His first clue is that five less than two times his number is between negative three and fifteen. Write a compound inequality that shows the range of numbers that William might be thinking of.
Answer:
See explanation
Step-by-step explanation:
William is thinking of a number n.
Then
two times his number = 2n
five less than two times his number = 2n - 5
The result is between negative three and fifteen, so
[tex]-3\le 2n-5\le 15[/tex]
Solve this compound inequality. First, add 5:
[tex]-3+5\le 2n-5+5\le 15+5\\ \\2\le 2n\le 20[/tex]
Divide it by 2:
[tex]1\le n\le 10[/tex]
William's number is between 1 and 10
The compound inequality representing the range of numbers that William might be thinking of is 1 ≤ n ≤ 10.
We have,
Let's assume the number William is thinking of is "n."
According to the first clue, "five less than two times his number is between negative three and fifteen."
We can represent this using a compound inequality as follows:
-3 ≤ 2n - 5 ≤ 15
Explanation:
"two times his number" is represented as "2n."
"five less than two times his number" is "2n - 5."
So, the compound inequality shows that "2n - 5" is between -3 and 15. This means that the possible values of "n" should satisfy both inequalities:
-3 ≤ 2n - 5 and 2n - 5 ≤ 15
Alternatively, you can simplify the compound inequality to:
-3 + 5 ≤ 2n ≤ 15 + 5
Which becomes:
2 ≤ 2n ≤ 20
Finally, divide the entire inequality by 2 to isolate "n":
1 ≤ n ≤ 10
Thus,
The compound inequality representing the range of numbers that William might be thinking of is 1 ≤ n ≤ 10.
This means William's number "n" could be any integer from 1 to 10, including both 1 and 10.
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Graph the systems of equations. {2x+y=8 −x+2y=6 Use the Line tool to graph the lines.
A system of equations is simply a collection of multiple equations that are either consistent, inconsistent, dependent or independent.
The system of equations is given as:
2x + y = 8-x + 2y= 6Next, we plot the graph of both equations (see attachment)
From the attached graph, the solution to the system of equation is (2/3,2/3)
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Answer: your welcome :)
Step-by-step explanation:
How do you find the circumference and diameter of a circle? Please make this quick for a quiz tomorrow! thank you friends!
Answer:
Diameter of a circle is twice the value of the radius
And to calculate the value of the circumference which could also be said to be the perimetre...
The formlae is given by: 2(pie)r.
Where pie = 22/7
And r = radius of the circle
So everytging is multiplied together
Step-by-step explanation:
Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?
A.
Brian and Damien both answered 2 fewer questions correctly than Chris did.
B.
Brian and Damien both answered 4 more questions correctly than Chris did.
C.
Brian and Damien both answered 2 more questions correctly than Chris did.
D.
Brian and Damien both answered 4 fewer questions correctly than Chris did.
Question:
Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right. Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?
A) Brian and Damien both answered 2 fewer questions correctly than Chris did.
B) Brian and Damien both answered 4 more questions correctly than Chris did.
C) Brian and Damien both answered 2 more questions correctly than Chris did.
D) Brian and Damien both answered 4 fewer questions correctly than Chris did.
Answer:
Option C
Brian and Damien both answered 2 more questions correctly than Chris did
Solution:
Let "x" be the number of correct answers of Brian
Let "y" be the number of correct answers of Chris
Let "z" be the number of correct answers of Damien
The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right
[tex]x = 14 + \frac{1}{4}y\\[/tex] ---------- eqn 1
Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly
[tex]z = \frac{5}{4}y - 2[/tex] ---------- eqn 2
Brian and Damien have the same score
x = z -------- eqn 3
Therefore,
[tex]14 + \frac{1}{4}y = \frac{5}{4}y - 2\\\\\frac{5}{4}y - \frac{1}{4}y = 14+2\\\\y = 16[/tex]
Substitute y = 16 in eqn 1
[tex]x = 14 + \frac{16}{4}\\\\x = 14 + 4\\\\x = 18[/tex]
Therefore, by eqn 3,
z = 18
Thus we get,
Number of correct answers of Brian = 18
Number of correct answers of chris = 16
Number of correct answers of Damien = 18
Therefore, correct statement is:
Brian and Damien both answered 2 more questions correctly than Chris did
Answer:
Brian and Damien both answered 2 more questions correctly than Chris did.-B
Step-by-step explanation:
What are the dimensions of the rectangle shown on the coordinate plane?
On a coordinate plane, a rectangle has points (0, 3), (0, negative 1), (negative 5, negative 1), (negative 5, 3).
The base is 5 units and the height is 4 units.
The base is 5 units and the height is 5 units.
The base is 5 units and the height is 3 units.
The base is 5 units and the height is 6 units.
Answer:
A
Step-by-step explanation:
count the lines on the bottom and top
The dimensions of the rectangle shown on the coordinate plane are : The base is 5 units and the height is 4 units.
What is a coordinate plane?A coordinate plane is a two-dimensional plane or region formed by the intersection of two number lines.
One number line is horizontal and called the x-axis, and the other number line is vertical and called the y-axis.
The point where they meet is called the origin. Points on a coordinate plane can be located by using numbers on the x-axis and the y-axis.
Given that a rectangle shown on the coordinate plane, we need to find the dimensions of the same,
So, if we see the figure we are going to have that, the base is of 5 units, (no matter if the base is -5 we will consider it as 5 units)
And the height is about 4 units.
Hence, the dimensions of the rectangle shown on the coordinate plane are : The base is 5 units and the height is 4 units.
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The interior angles formed by the sides of a quadrilateral have measures that some to 360°
What is the value of x?
Answer:
Value of x is 34
Step-by-step explanation:
The figure is a quadrilateral;
Angles given are; 2x°, 88°,108° and (3x - 6)°
We already know that the interior angles of a quadrilateral add up to 360°
Therefore, to get the value of x;
2x° + 88° + 108° + (3x - 6)° = 360
5x° + 190° = 360°
5x° = 170°
x = 34°
Thus, the value of x is 34
Which statement explains why √2 is an irrational number?
Answer:
it is a repetitive decimal
Step-by-step explanation:
Answer:
it is a repetitive decimal
Step-by-step explanation:
through:(3,5), parallel to y=9/5x+5
Answer:
False
Step-by-step explanation:
5=9/5.3+5
5=45.3+5
5= 135+5
5 does not =140
x-6y-2z= 7
-2x+5y-2z= -1
-5x+6y+5z= -6
Answer:
do you need the value of x?
x=7+6y+2z
-2(7+6y+2z)+5y+2z=-1 -7y=13+2z
-14-12y-4z+5y+2z=-1
-14-7y-2z=-1
-7y-2z=-1+14
-7y-2z=13
Answer:
x= -1, y= -1 and z= -1
Step-by-step explanation:
x-6y-2z= 7 (Equation 1)
-2x+5y-2z= -1 (Equation 2)
-5x+6y+5z= -6 (Equation 3)
The above three are your system of equations and you need x3 answers!
Use equations (1) and (2) to eliminate z. Multiply equation (1) by −1 and then add to equation (2) to eliminate z. Resulting in:
−x+6y+2z= -7 (1)
−2x+5y−2z= -1 (2)
Adding them together results in your 4th equation:
-3x+11y= -8 (4)
Use equations (1) and (3) to eliminate z. Multiply equation (1) by −5 and equation (3) by −2 and then add to eliminate z. Resulting in:
−5x+30y+10z= -35 (1)
10x-12y-10z= 12 (3)
Add them to get:
5x+18y= -23 (5)
Use equations (4) and (5) to solve for x. Multiply equation (4) by 18 and equation (5) by −11 and then add to eliminate y.
−54x+198y= -144
-55x-198y= 253
-109x=109 (Divide -109 from both sides to isolate x)
x= -1 <---- ANSWER 1
Substitute x=−1 into equation (4) to find:
−3x+11y= -8
-3(-1)+11y= -8
3+11y= -8 (Subtract 3 from both sides)
11y=-11 (Divide 11 from both sides to isolate y)
y=-1 <---- ANSWER 2
Now we can substitute x=−1 and y=−1 into equation (1) to find:
x-6y-2z= 7
(-1)-6(-1)-2z=7
-2z+5=7 (Subtract 5 from both sides to isolate z)
z= -1 <---- ANSWER 3
Hope this explains it for you! Enjoy! <3
Mark runs 6 yards every 4 seconds. How many feet does Mark run in 6 seconds?
Mark runs 27 feet in 6 seconds.
Explanation:To find out how many feet Mark runs in 6 seconds, we need to determine how many yards he runs in 6 seconds first. We are given that Mark runs 6 yards every 4 seconds, so we can set up a proportion: 6 yards / 4 seconds = x yards / 6 seconds. Cross-multiplying and solving for x, we find that x = 9 yards. Now, since there are 3 feet in 1 yard, we can convert 9 yards to feet by multiplying by 3: 9 yards * 3 feet/yard = 27 feet. Therefore, Mark runs 27 feet in 6 seconds.
If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)), then the range of G is
A (7, -1),(2, -8),(0, 0),(6, 6)]
B (-8,-1,0, 6)
C (0, 2, 6, 7)
Answer:
B) {-8,-1,0,6)
Step-by-step explanation:
range is always y
Look at the pic and answwe
Answer:
CD/RQ = AB/PN
8/6 = AB/10
6AB = 80
AB = 40/3, so x = AD = (1/2)(40/3) = 20/3
The correct answer is B.
The value of length AD in the similar triangles is determined as 20/3. (Option B).
How to calculate the length of AD?The length of segment AD is calculated by applying proportion formula as follows;
CD/RQ = AB/PN
The given parameters include;
Length CD = 8Length RQ = 6Length PN = 10The value of length AB is calculated as;
8/6 = AB/10
6AB = 80
AB = 40/3
The value of length AD is calculated as;
x = AD
AD = 1/2AB
AD = (1/2)(40/3)
AD = 20/3
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A shopper paid $2.52 for 4.5 pounds of potatoes, $7.75 for 2.5 pounds of broccoli, and $2.45 for 2.5 pounds of pears. what is the unit price of each item she brought
Answer:
a) UNIT PRICE of potatoes is $0.56
b) UNIT PRICE of broccoli is $3.1
c) UNIT PRICE of broccoli is $0.98
Step-by-step explanation:
UNIT PRICE is defined as the price of 1 unit.
[tex]\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}[/tex]
Now, here in the given question:
1. Cost of 4.5 pounds of potatoes is $2.52
So, the unit price of potatoes [tex]= \frac{\textrm{2.52}}{\textrm{4.5}} = 0.56[/tex]
⇒ 1 pound of potatoes cost $0.56
Hence,UNIT PRICE of potatoes is $0.56
2 Cost of 2.5 pounds of broccoli is $7.75.
So, the cost of 1 pound of broccoli [tex]= \frac{\textrm{7.75}}{\textrm{2.5}} = 3.1[/tex]
⇒ 1 pound of broccoli cost $3.1
Hence,UNIT PRICE of broccoli is $3.1
3. Cost of 2.5 pounds of pears is $2.45.
So, the cost of 1 pound of pears [tex]= \frac{\textrm{2.45}}{\textrm{2.5}} = 0.98[/tex]
⇒ 1 pound of pears cost $0.98
Hence,UNIT PRICE of broccoli is $0.98
Answer:
Potatoes - $0.56/pound.
Broccoli - $3.1/pound.
Pears - $0.98/pound.
Step-by-step explanation:
A shopper paid $2.52 for 4.5 pounds of potatoes.
So, the unit price of potatoes is [tex]\frac{2.52}{4.5} = 0.56[/tex] dollars per pound.
A shopper paid $7.75 for 2.5 pounds of broccoli.
So, the unit price of broccoli is [tex]\frac{7.75}{2.5} = 3.1[/tex] dollars per pound.
A shopper paid $2.45 for 2.5 pounds of pears.
So, the unit price of pears is [tex]\frac{2.45}{2.5} = 0.98[/tex] dollars per pound. (Answer)
5 times 7/10
The product lies between - and -
Answer:
5 x 7/10 is equal to 3.5, therefore it lies between the whole numbers of 3 and 4.
The product of 5 times 7/10 is exactly 3.5.
To calculate 5 times 7/10, we multiply 5 by the fraction 7/10. This can be done using simple multiplication of the numerator (5 * 7 = 35) followed by dividing the result by the denominator (35/10), which simplifies to 3.5. Thus, 5 times 7/10 is 3.5.
When we are asked where the product lies between, it actually means we are looking for a range. Since we already know 5 times 7/10 equals 3.5, it would be accurate to say that the product lies between numbers that are smaller and greater than 3.5. However, the question seems to be incomplete because it does not provide the specific range to work within, so based on the provided calculation, we can only state the exact answer which is 3.5.