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sashaice [31]
3 years ago
12

Tammy is making 5 batches of punch for the school's Spring Carnival. The recipe for one batch uses 1 liter of orange juice, 550

milliliters of lemon juice, 2.6 liters of soda water, and two 750 milliliter bottles of apple cider. How much punch will she make?
Mathematics
1 answer:
NISA [10]3 years ago
5 0
Alright, so look. This is one of the probably many ways you can do this. And this is how I used to do my stuff. So watch:

First change the mL to liters:
Orange Juice: 1L
Lemon juice: 550mL=0.55L
Soda Water: 2.6L
Apple cider: 2*750=1500mL=1.5L

Then add them all together:
1+0.55+2.6+1.5=5.65

Lastly, multiply that number by 5:
5.65*5=28.25

Tammy will make 28.25 Liters of punch.

So Answer = 28.25 liters of punch
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State whether f is a function
Alenkinab [10]
<h2>Answer:</h2>

y=\pm (\frac{x}{6})^{\frac{1}{4}} \ is \ not \ a \ function

<h2>Step by step solution:</h2>

A function f from a set A to a set B is a relation that assigns to each element x in the set A exactly one element y in the set B. The set A is the domain (also called the set of inputs) of the function and the set B contains the range (also called the set of outputs). On the other hand, a function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function f has an inverse function if and only if there is no any horizontal line that intersects the graph of f at more than one point. So the function is called one-to-one. The graph of f is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find f^-{1}(x):

f(x)=6x^4 \\ \\ Substitute \ f(x) \ by \ y \\ \\ y=6x^4 \\ \\ Interchange \ x \ and \ y: \\ \\ x=6y^4 \\ \\ Solve \ for \ y: \\ \\ y^4=\frac{x}{6} \\ \\ Solving \\ \\y=\pm \sqrt[4]{\frac{x}{6}} \\ \\ \boxed{y=\pm \left(\frac{x}{6}\right)^{\frac{1}{4}}}

and this is not a function because there are elements in the set of inputs that match with two elements in the set of outputs.

5 0
3 years ago
Read 2 more answers
Supposef(0) = 2 and 2 ≤ f '(x) ≤ 7for all x in the interval [−5, 5]. determine the greatest and least possible values of f(2).le
IgorC [24]

If the slope of the function is 2, the amount it can change over the interval 0–2 is

... 2×2 = 4 units

If the slope is 7, the amount it can change over the interval 0–2 is

... 2×7 = 14 units


The least possible value of f(2) is 2+4 = 6.

The greatest possible value of f(2) is 2+14 = 16.

7 0
3 years ago
In a survey of 500 people, 31% said they were afraid of flying. What decimal represents the number of people who said they were
Elden [556K]

Answer:

.31

Step-by-step explanation:

155 / 5        31/100

500/ 5

31÷100

Long Division for 31 divided by 100

round to a Max of 3 Decimal gives us

=0.31

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2 years ago
What is a rational number and how do you know?
Andreas93 [3]
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.

8 0
2 years ago
Find the length of the third side. If necessary, write in simplest radical form. 9 5
tigry1 [53]

Step-by-step explanation:

(9) {}^{2}   = (5) {}^{2}  + (x) {}^{2}  \\ 81 = 25 +  {x}^{2}  \\  {x}^{2}  = 56 \\ x = 2 \sqrt{14}  = 7.4

7 0
3 years ago
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