Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?

A. The 6-pack contains 0.130 liters more soda.
B. The 2-liter bottle contains 0.130 liters more soda.
C. The 2-liter bottle contains 0.645 liters more soda.
D.The 6-pack contains 0.645 liters more soda.

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]

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.

Answer:

see below for the whole unit activity

Step-by-step explanation:

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

Answer:

I have no idea what are you talking about......

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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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).

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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Answer:

Heres the answer Hope this helps!:)

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 mean and mean absolute deviation of the given data are;

B. Mean: 72; mean absolute deviation: 2.

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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Answer:

76

Step-by-step explanation:

We know the rule when finding the derivative :

Deriving

[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

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

Answer:

y = 0

Step-by-step explanation:

Midline = the horizontal center line

Answer:

Step-by-step explanation:

Credit should go to the previous helper here:

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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

"

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

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

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

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

Answer:

the answer  6 1/6

Step-by-step explanation:

proof here

Answer: 6/1 6

Step-by-step explanation: i took the  quiz

tanS = 5/12

tanR = 12/5

ur welcome norissa

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.

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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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 :)

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.

Suppose that we've got: [tex]f(x) = a\cos\left(\dfrac{2\pi x}{b}\right)[/tex]

Then, this function has:

For 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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Step-by-step explanation:

answer......

...........

Answer:

78.42

Step-by-step explanation:

[tex]1.06(24.99 + 48.99)[/tex]

[tex]1.06 \times 73.98 = 78.42[/tex]

Answer:

39

Step-by-step explanation:

you can set a proportion

84/156 = 21/x

when u solve for x u get 39

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

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.

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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