Is 36 feet equal greater or less than 12 yards

Luden [163]

Two solutions were found :

u ≥ 2
u ≤ 0

7 0

3 years ago

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of

victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case:

$(a,b) = (0,3)$

i.e.

$a = 0\\b=3$

For f(x)

$f(x) = 16(\frac{1}{2})^x$

$Rate = \frac{f(b) - f(a)}{b - a}$

$Rate = \frac{f(3) - f(0)}{3 - 0}$

$Rate = \frac{f(3) - f(0)}{3}$

Calculate f(3) and f(0)

$f(x) = 16(\frac{1}{2})^x$

$f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2$

$f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16$

So:

$Rate = \frac{f(3) - f(0)}{3}$

$Rate = \frac{2 - 16}{3}$

$Rate = -\frac{14}{3}$

For g(x)

$Rate = \frac{g(b) - g(a)}{b - a}$

$Rate = \frac{g(3) - g(0)}{3 - 0}$

$Rate = \frac{g(3) - g(0)}{3}$

From the table of g(x)

$g(3) = 1$

$g(1) = 27$

So:

$Rate = \frac{1 - 27}{3}$

$Rate = -\frac{26}{3}$

For h(x)

$Rate = \frac{h(b) - h(a)}{b - a}$

$Rate = \frac{h(3) - h(0)}{3 - 0}$

$Rate = \frac{h(3) - h(0)}{3}$

From the graph of h(x)

$h(3) = -3$

$h(0) = 4$

So:

$Rate = \frac{-3 - 4}{3}$

$Rate = -\frac{7}{3}$

So, the calculated rates of change are:

$f(x) = -\frac{14}{3}$ $= -4.67$

$g(x) = -\frac{26}{3}$ $=-8.67$

$h(x) = -\frac{7}{3}$ $=-2.33$

By comparison:

From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>

4 0

3 years ago

Evaluate the equation

gregori [183]

Answer:

3 +4 i

Step-by-step explanation:

x + sqrt(yz)

Let x = 3 y=2 and z = -8

3 + sqrt(2*-8)

3+ sqrt(-16)

3 + sqrt(16) sqrt(-1)

We know sqrt(-1) = i

3 +4 i

3 0

3 years ago

Can someone help me with this please! I really need it done

natka813 [3]

Using simple mathematical operations, the missing values are as follows:

(B) Dijon Mustard: 18g

Increased by 20 = 360g

(C) Barbeque sauce: 70g

Increased by 5 = 350g
Increased by 20 = 1,400g

(D) Worcestershire sauce: 10.35g

Increased by 5 = 51.75g
Increased by 20 = 207g

(E) Kosher salt: 1.5g

Increased by 5 = 7.5g
Increased by 20 = 30g

(F) Ground black pepper: 2.3g

Increased by 5 = 11.5g
Increased by 20 = 46g

(G) Crushed red pepper: 1.15g

Increased by 5 = 5.75g
Increased by 20 = 23g

<h3>What do we mean by mathematical operations?</h3>

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.
The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.
We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).

So, we can calculate missing values as follows:

(B) Dijon Mustard: 18g

Increased by 20 = 18×20 = 360g

(C) Barbeque sauce: 70g

Increased by 5 = 70×5 = 350g
Increased by 20 = 70×20 = 1,400g

(D) Worcestershire sauce: 10.35g

Increased by 5 = 10.35×5 = 51.75g
Increased by 20 = 10.35×20 = 207g

(E) Kosher salt: 1.5g

Increased by 5 = 1.5×5 = 7.5g
Increased by 20 = 1.5×20 = 30g

(F) Ground black pepper: 2.3g

Increased by 5 = 2.3×5 = 11.5g
Increased by 20 = 2.3×20 = 46g

(G) Crushed red pepper: 1.15g

Increased by 5 = 1.15×5 = 5.75g
Increased by 20 = 1.15×20 = 23g

Therefore, using simple mathematical operations, the missing values are as follows:

(B) Dijon Mustard: 18g

Increased by 20 = 360g

(C) Barbeque sauce: 70g

Increased by 5 = 350g
Increased by 20 = 1,400g

(D) Worcestershire sauce: 10.35g

Increased by 5 = 51.75g
Increased by 20 = 207g

(E) Kosher salt: 1.5g

Increased by 5 = 7.5g
Increased by 20 = 30g

(F) Ground black pepper: 2.3g

Increased by 5 = 11.5g
Increased by 20 = 46g

(G) Crushed red pepper: 1.15g

Increased by 5 = 5.75g
Increased by 20 = 23g

Know more about mathematical operations here:

brainly.com/question/28937023

#SPJ13

4 0

1 year ago

12 gallons in 4 minutes ; 21 gallons in 7 minutes

Fofino [41]

1. 3 Gallons per minute

2. 3 gallons per minute

The unit rate is 3 gallons.

8 0

3 years ago