The true statement is that the 6-pack contains 0.130 litres more soda.
He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.
6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.
Proportional relationship1 pack = 0.355 litre can
6 pack = ?
cross multiply
volume of soda = 6 × 0.355 = 2.13 litres
The 6-pack of 0.355-liter cans contains 2.13 litres of soda.
difference = 2.13 - 2.00 = 0.13 litres
Therefore, the 6-pack contains 0.130 litres more soda
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Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from
the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives
according to whether they received training or not. This data is shown in the table.
Three Months' Sales Orders
Training
No Training
Midwest
234
196
Northeast
252
178
Question
Use the data shown in the table to complete each statement.
Select the correct answer from each drop-down menu.
For the Midwest region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training,
For the Northeast region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training
The data from the sales director's study indicates that the one-month training program
sales
Answer:
see below for the whole unit activity
Step-by-step explanation:
Find the derivative of 76x + 1 at x = 1.
Answer:
76
Step-by-step explanation:
We know the rule when finding the derivative :
dy/dx = nxⁿ⁻¹Deriving
dy/dx = 76x + 1dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹dy/dx = 76The x = 1 becomes irrelevant because there is no 'x' present in the derivative[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{0} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76[/tex]
Here, we have got a constant number, therefore for any value of x it will be 76
Therefore, derivative of 76x + 1 at x = 1 is 76
Just number 1 please and explain
tanS = 5/12
tanR = 12/5
ur welcome norissa
Write down a number which is •a multiple of 4. •a factor of 400. •not 4 or 400
Answer:
200
Step-by-step explanation:
4 multiplied by 50 = 200
400 divided by 200 = 2
so it is both a factor of 400, a multiple of 4, and it's neither 4 nor 400 :)
The diameter of a circle is 1213 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
r = _ / in.
Answer:
the answer 6 1/6
Step-by-step explanation:
proof here
Answer: 6/1 6
Step-by-step explanation: i took the quiz
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 8 cosine (startfraction pi over 10 endfraction t). what is the period of the function? startfraction pi over 20 endfraction seconds startfraction pi over 10 endfraction seconds 8 seconds 20 seconds
Answer:
20 seconds
Step-by-step explanation:
I assume you mean [tex]h(t)=8\cos(\frac{\pi}{10}t)[/tex] for your function.
As the given function is in the form of [tex]f(t)=a\cos(bt+c)+d[/tex] (some textbooks may write this formula differently), the period is equal to [tex]\frac{2\pi}{|b|}[/tex]. Hence, the period of the given function is [tex]\frac{2\pi}{|\frac{\pi}{10}|}=\frac{2\pi}{1}*\frac{10}{\pi}=\frac{20\pi}{\pi}=20[/tex], or 20 seconds.
The period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
What are some properties of a cosine function?Suppose that we've got: [tex]f(x) = a\cos\left(\dfrac{2\pi x}{b}\right)[/tex]
Then, this function has:
Amplitude (the maximum distance of the graph from the middle line) = aPeriod = bFor this case, we're given that:
[tex]h = 8\cos\left(\dfrac{\pi x}{10}\right)[/tex]
We can rewrite it as:
[tex]h = 8\cos\left(\dfrac{2\pi x}{20}\right)[/tex]
Thus, we get a = amplitude = 8 units(distance), and b = period = 20 units(time in seconds).
Thus, the period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
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PLEASEE HELPP!!!
What is the mistake in setting up the quadratic formula?
Answer:
First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.
That 6 should be -6
Let me solve it for you
[tex]\\ \rm\rightarrowtail 2x-x-6=0[/tex]
So
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-6)}}{2(2)}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm \sqrt{1+48}}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm 7}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{8}{4}\:or\:\dfrac{-6}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=2\:or\:\dfrac{-3}{2}[/tex]
Suppose that the objective function coefficient for product C increases by $8. What impact will this have on the current values of the optimal solution
When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.
What is an objective function?An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.
In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.
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In a regular polygon the line from the center to the mid-point of an outer side is a(n)
Answer:
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.
Step-by-step explanation:
Apothem In a regular polygon the line from the center to the mid-point of an outer side is a(n).
What is a cube?It is a polygon having six faces.
The volume of a cube is a side cube.
We have,
The apothem of a regular polygon is a line segment from the center to the midpoint of any one of its sides.
Thus,
The line from the center to the mid-point of an outer side is a(n) is Apothem.
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Calculate the average daily balance, finance charge, and new balance using the average daily balance method. Round all dollar amounts to the nearest cent. If applicable, include a thousands comma. Monthly rate: 1.75% Date Payments Purchases Balance Number of Days Product 9/1-9/5 $387.525 1,937.60 976 $50.00 $337.521 337.52 977 - 9/18 A В С 9/19 $62.66 $400.181 400.18 9/20-9/30 D E F Total 30 G A= $ BE C= $ D=$ E= F=$ G=$ Average daily balance : 30 = $ Finance charge = monthly rate x average daily balance = $ New balance = previous balance payment/credits + finance charge + new purchases = $
Answer:
Step-by-step explanation:
Credit should go to the previous helper here:
https://brainly.com/question/21285117
I have not cross-checked but the previous answers were:
"
For average daily balance:
Form date 9/1 to date 9/5 :
Balance x number of the days = $ 387.52 x 5 days = $ 1937.6
As on date 9/6 :
($ 387.52 - $ 50.00) x 1 day = $ 337.52
From date 9/7 to date 9/18 :
Balance = $ 337.50
Number of days = 12 days
Therefore, product = 12 days x $ 337.52
= $ 4050.24
As on 9/19 :
($ 337.52 + $ 62.66) x 1 day = $ 400.18
From date 9/20 to date 9/30
Balance :$ 400.18
Number of days = 11 days
Therefore, product = 11 days x $ 400.18
= $ 4401.98
Average daily balance
= ($ 1937.6 + $ 337.50 + $ 4050.24 + $ 400.18 + $ 4401.98) / 30
= $ 370.91
Finance charge = $ 370.91 x 1.75 %
= $ 6.49
New balance = $ 370.91 + $ 6.49
= $ 377.4
"
please help??????????????????????????????? so confused
8s-11s+6s
Answer: = 3 seconds
Step-by-step explanation: combine the like terms Hope it helps !!
To simplify: 8s - 11s + 6s. Simplify the like terms by combining them
Simplifying 8s - 11s + 6s will give 3s.
Given,
8s - 11s + 6s
Now,
Expression : 8s-11s+6s
To simplify the expression combine like terms. So, all the terms consists of variable s.
Combine all terms having same sign,
So,
Firstly apply addition
8s + 6s
= 14s
Now,
Apply subtraction,
14s - 11s
= 3s
Therefore the simplified version is 3s.
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help ASAP!!! answer e f g h question
Step-by-step explanation:
answer......
...........
Jasmyn and Samantha go to the mall to go shopping. Jasmyn buys a new t-shirt that is $24.99 and Samantha buys a new pair of pants that are $48.99. If sales tax is 6%, how much will they have to pay total for the t-shirt and pants including tax?
The total cost of both items is $ ____
Answer:
78.42
Step-by-step explanation:
[tex]1.06(24.99 + 48.99)[/tex]
[tex]1.06 \times 73.98 = 78.42[/tex]
One number is two times greater than another number. if the greater number is x what is the other number?
Answer:
[tex]\frac{1}{2}x[/tex]
Step-by-step explanation:
If the greater number is x and it is two times greater than the other number then the other number is half as big. This is true because 2*[tex]\frac{1}{2}[/tex]x = x
The other number is equal to x/2.
What is a Fraction?A fraction in mathematics represents a portion or element of the whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator.
As per the given data:
We are given the relationship between 2 numbers, It's given that One number is two times greater than another number.
The greater number = x
Let's assume that the smaller number is y.
From the given data in the question:
One number is two times greater than another number
= x = 2y ...(i)
The other number that is the smaller number is given by:
By dividing eq (i) by 2 from both sides.
y = x/2
The other number is equal to x/2
Hence, The other number is equal to x/2
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Please Help! Will Give Brainlest!
Answer:
y = 0
Step-by-step explanation:
Midline = the horizontal center line
please help me please
Answer:
Heres the answer Hope this helps!:)
HELP WILL MARK BRAINLIST AND 5 STARS
Answer:
10 ft
Step-by-step explanation:
5 1/6 + 4 5/6 = 10
5 + 4 = 9
1/6 + 5/6 = 6/6 = 1
9 + 1 = 10
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
the 6th term is 22 and the common difference is 6
Answer:
I have no idea what are you talking about......
Solve this question. Explain or show your reasoning. 1/2x-7=1/3(x-12)
(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.
Answer:
1 and -3
Step-by-step explanation:
The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).
From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :
[tex]\qquad \sf \dashrightarrow \:1 \: \: and \: \: - 3[/tex]
Therefore, the correct choice is D
A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the roof?
Answer:
1.714 feet
Step-by-step explanation:
slope is rise over run.
rise would be the vertical measurement and run would be the horizontal measurement.
24/14 = 12/7
12/7 = 1.714
Find the area of each triangle 10in. 9in.
Answer: 45
Step-by-step explanation: Area of a triangle is l x h all divided by 2.
Plug numbers in. 9 x 10=90. 90/2 = 45.
Find the values of x and y
x=
and
y=
Answer:
x=145 and y=35
Step-by-step explanation:
the hole line equals 180 so do 35-180 which equals 145 and y would equal 35
Find the 11th term of the following geometric sequence 2,6,18,54,…
Answer:
118,098
Step-by-step explanation:
Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.
so 54*3 = 162 and keep multiplying your answer by three until you have 11 times
The perimeter of a rectangular field is 322 m.
If the width of the field is 67 m, what is its length?
Answer:
75
Step-by-step explanation:
322 = 2(86) + 2w
322 = 172 + 2w
322-172 = 172 +2w -172
150 = 2w
150/2 = 2w/2
w=75
Which probability is equal to 25%?
А
5/100
B
1/4
с
25/1
D
4/5
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Fraction is converted to percentage:
[tex](\frac{1}{4} )(100)=\frac{100}{4} =25%[/tex] %
Hope this helps
The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute deviation (MAD) of the data?
A.MEAN:73; MAD:2
B.MEAN:72; MAD:2
C.MEAN73; MAD:6
D.MEAN; MAD:6
The mean and mean absolute deviation of the given data are;
B. Mean: 72; mean absolute deviation: 2.
What is The Mean Absolute Deviation?The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.
Given the data, 68, 70, 72, 73, 74, 75:
Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6
Mean = 72
Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6
Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6
Mean absolute deviation = 12/6
Mean absolute deviation = 2
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m(m − n)
for m = 3 and n = 1
Find the total surface area of the cube.
2.2 cm
Answer:
The formula for surface area of a rectangular prism or cube is:
SA = 2 (LW+LH+WH)
So, we do, 2 (2×2+2×2+2×2)
So, the answer is 2×12 or 24 cm²
If you read 84 pages in 156. At this rate how long will it take you to read 21 pages?
Answer:
39
Step-by-step explanation:
you can set a proportion
84/156 = 21/x
when u solve for x u get 39