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3 years ago

A pound of coffee costs $14.99what is the cost per ounce

Mathematics

1 answer:

alexdok [17]3 years ago

6 0

There are 16 oz in a Pound. Take 14.99 and divide it by 16. This will give you the cost per oz. 14.99/16= .936875

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Solve sin x - (3sin x-1) = 0

soldi70 [24.7K]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}}$

Step-by-step explanation:

$\sin x-(3\sin x-1)=0\\\\\sin x-3\sin x+1=0\qquad\text{subtract 1 from both sides}\\\\-2\sin x=-1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}$

$\text{Equation:}\\\\\sin x=a\\\\\text{has solutions}\\\\x=\theta+2k\pi\ \vee\ x=(\pi-\theta)+2k\pi\\\\\text{Why}\ 2k\pi?\\\text{Because the sine function has a period of}\ 2\pi.$

$\text{look at the table}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\pi-\dfrac{\pi}{6}=\dfrac{5\pi}{6}$

$\text{Other solution:}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\sin^{-1}\dfrac{1}{2}\\\\x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi$

3 0

3 years ago

Rewrite the following fractions with a denominator of 12 :<br> 24/36 , 54/72

Leviafan [203]

For the denominator of 12, Your fractions will now look like:

8/12 ( Simplify if needed) as well as

9/12 (Simplify if needed)

You want to find the multiple that will give you 12 upon the bottom of the fraction and divide your numerator by that number as well. For the first one, it’s 3, and for the second one, it’s 6

6 0

3 years ago

How do "Combinations" work? What's the formula to solve this equation?

Dimas [21]

$_nC_k=\dfrac{n!}{k!(n-k)!}\\\\\\_{34}C_{34}=\dfrac{34!}{34!0!}=1$

In general, $_nC_n=1$

3 0

3 years ago

What is the volume of a cube with length of 10cm, the width of 5cm and a height of 8cm?

lubasha [3.4K]

400 cm³

<h3>Further explanation</h3>

<u>Given:</u>

Length = 10 cm
Width = 5 cm
Height = 8 cm

<u>Question:</u>

What is the volume of a cuboid?

<u>The Process:</u>

We use the formula for cuboid volume:

$\boxed{ \ V = length \times width \times height \ }$ or $\boxed{ \ V = l \times w \times h \ }$

Let us calculate the volume of cuboid.

$\boxed{ \ V = 10 \times 5 \times 8 \ }$

Thus, the volume of cuboid is 400 cm³.

- - - - - - - - - -

Notes:

A cuboid is a 3D shape. Another name is a rectangular prism. Unlike the cube, the sides of a cuboid are unequal lengths. However, the way to calculate the volume of cuboid and cube is the same, i.e., multiplying the three lengths of the sides. The other thing is to calculate the surface area by adding up all the sides.

$\boxed{ \ Volume \ of \ cube = side \times side \times side \ }$
$\boxed{ \ Surface \ area \ of \ cube = 6 \times area \ of \ square \ }$
$\boxed{ \ Surface \ of \ cuboid = 2 \times [lw + lh + wh] \ }$

<h3>Learn more</h3>

Volume of rectangular prism brainly.com/question/11613210
Find out the area of a cube brainly.com/question/12613605#
Which an expression represents the height of the pyramid? brainly.com/question/2567975

3 0

2 years ago

Read 2 more answers

G is a trigonometric function of the form g(x)=a sin(bx+c)+d The function intersects its midline at (-1,6) and has a minimum poi

Burka [1]

Answer:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

Step-by-step explanation:

The function has the form:

g(x) = a*sin(b*x + c) + d

We know that:

The midline is at (-1, 6)

The midline is the value of g(x) when the sin(x) part is equal to zero

Then the midline is y = 6 = d

g(x) = a*sin(b*x + c) + 6

And from this we also know that:

sin(b*-1 + c) = 0,

We also know that the minimum is at (-3.5, 3)

The minimum is the y-value when the sin(x) part is equal to -1

Then

sin(b*-3.5 + c) = -1

And:

g(-3.5) = 3 = a*(-1) + 6

3 = -a + 6

a = -3 + 6 = 3

The equation is something like:

g(x) = 3*sin(b*x + c) + 6

To find the values of b and c, we need to use the two remaining equations:

sin(b*-3.5 + c) = -1

sin(b*-1 + c) = 0

We also know that:

Sin(0 ) = 0

sin( (3/2)*pi) = -1

where pi = 3.14

Then we can just write:

b*-1 + c = 0

b*-3.5 + c = (3/2)*pi

From the first one, we get:

-b + c = 0

c = b

Replacing that on the other equation we get:

c*-3.5 + c = (3/2)*pi

c*(-3.5 + 1) = (3/2)*pi

c*(-2.5) = (3/2)*pi

c = (3/2)*pi/(-2.5)

and:

-2.5 = -5/2

c = (3/2)*(-5/2)*pi = (-15/4)*pi

Then the equation becomes:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

7 0

2 years ago

Read 2 more answers