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2 years ago

F(x) = 6^x for x=3 are the function for the given value:

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

4 0

Answer:

f(3) = 216

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 6ˣ

x = 3

Step 2: Evaluate

Substitute: f(3) = 6³
Exponents: f(3) = 216

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An aquarium is to be drained. The aquarium is shaped like a rectangular prism with length 33 in , width 26 in , and height 12 in

artcher [175]

Answer:

To empty the aquarium it takes 26 minutes

Step-by-step explanation:

step 1

Find the volume of the aquarium

The volume of rectangular prism is

$V=LWH$

we have

$L=33\ in\\W=26\ in\\H=12\ in$

substitute the given values

$V=(33)(26)(12)=10,296\ in^3$

step 2

Divide the volume by the rate of 396 in^3 per minute

$10,296/(396)=26\ minutes$

therefore

To empty the aquarium it takes 26 minutes

3 0

2 years ago

Find the slope of the line through each pair of points

ddd [48]

The answer is 27/23. The way you listed the answers is confusing so I’m not giving a letter. Because [17+10]/[17+6]= 27/23

5 0

2 years ago

Linda's start up cost for her online jewelery store was $250, as she has to pay an additional $60per month to keep it running. W

Goryan [66]

Total Cost = 250 + 60x is the equation that models the given situation

Solution:

Given that, Linda's start up cost for her online jewelery store was $250

She has to pay an additional $60 per month to keep it running

To find: Equation that models this situation

From given,

Start up cost = $ 250

Let "x" be the number of months she keeps the store running

Additional pay per month = $ 60

Thus, the total cost Linda spend to keep the store running is given as:

Total Cost = Startup cost + (Additional pay per month)(number of months)

$Total\ Cost = 250 + 60x$

Thus the equation that models the given situation is found

5 0

2 years ago

Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,

Tanzania [10]

Answer:

$y = -\frac{2}{5}\cdot x - 11$

Step-by-step explanation:

First, the slope is determined by using the following expression:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{-7-(-9)}{-10 - (-5)}$

$m = -\frac{2}{5}$

The y-intercept is found by using the line equation, the slope and one point:

$y = m \cdot x +b$

$b = y - m\cdot x$

$b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)$

$b = -11$

The equation of the line is:

$y = -\frac{2}{5}\cdot x - 11$

7 0

3 years ago

¼ x 20 ⅛ x 56 0.16 x 32 4.5 x 9.1

Kay [80]

Answer:

¼ x 20 = 5

⅛ x 56 = 7

0.16 x 32 = 5.12

4.5 x 9.1 = 40.95

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers