If Ethan uses 28 fl oz of sparkling water, how much orange juice will he use and what will be the total
amount of punch?
Ethan makes punch by mixing orange juice with
sparkling water. He uses the same ratio of orange
juice to sparkling water each time he makes punch.
The table shows some of the amounts of orange juice
and sparkling water he uses for different amounts of
punch
Use the number pad to enter your answers in the boxes
Ethan will use
fl oz of orange juice, and he will have a total of
fl oz of punch.
Orange Juice (fl oz) 7 21 28 ?
Sparkling Water (fl oz) 4 12 16 28

what is the missing number for the question mark?

Answer:

f(x) = 2*cos(4*x) + 4

Step-by-step explanation:

This is obviusly a sinusoidal function, which can be written as:

f(x) = A*cos( w*x ) + M

Where:

A = amplitude

w = angular frequency

M = midline.

Remember that the maximum of a cosine

cos(x) = 1, when x = (2*n)*pi      (for any integer n)

And the minimum is at:

cos(x) = -1, when x = (2*m + 1)*pi    (for any integer m)

Whit this in mind, we know that we have a maximum when:

x = pi

then we want:

w*pi = (2*n)*pi

and a minimum at:

x = -3*pi/4

Then we want

w*(-3*pi/4) = (2*m + 1)*pi

In the minimum case, we have a "4" in the denominator that is kinda unfortunate, so we woud want to take w = 4 in order to remove it, and this will work really well for wath we want, because:

w*pi = 4*pi = (2*2)*pi     (here we have n = 2)

w*(-3*pi/4) = 4*(-3*pi/4) = -3*pi = (2*-2 + 1)*pi   (here we have m = -2)

Then we can take w = 4.

So the function is something like:

f(x) = A*cos(4*x) + M

The amplitude is equal to half of the difference between the maximum and the minimum values of y.

The maximum is:

y = 6

the minimum is:

y = 2

Half of the difference is:

A = (6 - 2)/2 = 2

A = 2

Then our function is:

f(x) = 2*cos(4*x) + M

The value of the midline is equal to the maximum minus the value of the amplitude (or the minimum plus the value of the amplitude)

M = Maximum - A =  6 - 2 = 4

M = Minimum + A =  2 + 2 = 4

Then the function is:

f(x) = 2*cos(4*x) + 4

Answer:

2cos (4/7x - 4pi/7) + 4

Step-by-step explanation:

Answer:

$282

Step-by-step explanation:

Answer:

● First part = 2×x = 2x

● Second part= 8×x = 8x

● Third part= 6×x = 6x

Now,

2x+8x+6x = 144

or, 16x= 144

or, x=144/6

or, x=9

therefore, x=9

Answer:

y=3x+5

Step-by-step explanation:

Answer:41.8

Step-by-step explanation:

Answer:

points

Step-by-step explanation:

Answer:

15000

Step-by-step explanation:

Answer:

15kg = 15,000 grams

Step-by-step explanation:

hope this helped if it did mark brainlest

and let me know

Answer:57

Step-by-step explanation:

(7 x 9) - (-3 x -2) = 57

Answer:

(2, 5) is the correct answer.

Answer:

3 and 1/3

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

119 is adjacent to angle x. angle x and 119=180 (because the angle of a straight line is 180.) which means to find angle x you have to subtract 119 from 180. 180-119=61. because you now know two angles in the triangle you can add the together and subtract them from 180 (remember 180 is what all the angles in a triangle should add up to 180). 61+57=118 and 180-118=62

i hope this helped!

Answer: [tex]17^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle A=(x+8)^{\circ}[/tex]

[tex]\angle B=(8x+1)^{\circ}[/tex]

Angle A and B are complementary i.e. sum of the two must be [tex]90^{\circ}[/tex]

[tex]\Rightarrow \angle A+\angle B=90^{\circ}\\\Rightarrow x+8+8x+1=90^{\circ}\\\Rightarrow 9x=90-9=81^{\circ}\\\Rightarrow x=9^{\circ}[/tex]

[tex]\therefore \angle A=x+8^{\circ}=9+8\\\Rightarrow \angle A=17^{\circ}[/tex]

Answer:

reeg

Step-by-step explanation:

Answer:

170 [tex]cent.^{3}[/tex]

Step-by-step explanation:

If the height is 3 times the radius you can find that by: 3r

r = 3.

So: 3 x 3 = 9

The height is 9 centimeters

Volume of a cylinder (can):

[tex]V= 2\pi rh[/tex]

Plug in what we know

[tex]V = 2 \pi (3) (9)\\V = 54\pi \\V = 169.646\\[/tex]

Rounds to: 170

Answer:

4b - a = 15

Step-by-step explanation:

if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.

good luck:)

Brainliestttt Plssssssss:)

Answer:

4b - a = 15

Step-by-step explanation:

Answer:

x + 11

x = 6

6 + 11

17

Step-by-step explanation:

Answer: X+11=6+11=17 #5

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer:

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Step-by-step explanation:

Answer:

$0.95

Step-by-step explanation:

Answer:

A = (9)(12)

Step-by-step explanation:

angle DCF = angle DCE + angle ECF

angle DCF = 75° + 54°

angle DCF = 129°

Measure of < DCF is  [tex]129^{0}[/tex].

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

According to the figure

< DCE = [tex]75^{0}[/tex]

< ECF = [tex]54^{0}[/tex]

Measure of < DCF = < DCE + < ECF

=  [tex]75^{0}[/tex] +  [tex]54^{0}[/tex]

= [tex]129^{0}[/tex]

Hence, measure of < DCF is  [tex]129^{0}[/tex].

Find out more information about angle here

https://brainly.com/question/7116550

#SPJ2

Answer:

Step-by-step explanation:

1) 5a - 2b² + 1

Degree of the polynomial = 2

2) 4x²-3x³ + 2x + 12

-3x³ + 4x² + 2x + 12

Degree of the polynomial = 3

To find the degree of the polynomial, arrange it in descending as per the power of the variables.

The highest power of the variable is the degree of the polynomial.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Triangles.

Since there is a linear pair with 40° , the another angle will be 140° ,

also the triangle newly formed is a isosceles one,

hence x = 20°

===> x = 20°

Now apply angle sum property of a triangle on, the other one,

we get as, 70+40+y=180

hence, y = 180-110

y = 70°

Hence angle y ==> 70°

Answer:

D. 702square inches

Step-by-step explanation:

1. V=78km^3

2. K=∛9

3. K^3=∛9^3

4.9 x 78=702

Rest of the Key for the test is here:

http://mrsaperez.weebly.com/uploads/1/1/0/5/110500127/t8_review_part_2_key.pdf

Answer:

exact form- 61/8

mixed number form-7 5/8

?

Step-by-step explanation:

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

61 /8

Decimal Form:

7.625

Mixed Number Form:

7

5/8

Step-by-step explanation:

Answer:

−5.6<−4.2, and −5.6 is located to the left of −4.2

Step-by-step explanation:

Given the statements :

−5.6<−4.2, and −5.6 is located to the left of −4.2 (True) because - 5.6 located to the left of the number line and numbers are arranged from right to left in decreasing order.

−5.6<−4.2, and −5.6 is located to the right of −4.2. (Not true) only the first assertion is correct, - 5.6 < - 4.2, but 5.6 isn't located to the right of - 4.2

−5.6>−4.2, and −5.6 is located to the left of −4.2 (Not true) ; Though 5.6 is located to the left of 4 2, 5.6 is < 4.2

−5.6>−4.2, and −5.6 is located to the right of −4.2. (Not true) ; - 5.6 is < -4.2 and also located to the left of - 4.2

Given:

The selling price of a ratio set = 72.00

Profit percent = 8%

To find:

The cost price for the radio set.

Solution:

Let x be the cost price for the radio set.

Radio set is sold at 8% profit.

[tex]\text{Selling price}=x+\dfrac{8}{100}x[/tex]

[tex]\text{Selling price}=x+0.08x[/tex]

[tex]\text{Selling price}=1.08x[/tex]

The selling price of a ratio set is 72.00.

[tex]72=1.08x[/tex]

[tex]\dfrac{72}{1.08}=x[/tex]

[tex]x=66.666...[/tex]

[tex]x\approx 67[/tex]

Therefore, the cost price for the radio set is 67.