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2 years ago

14

Complete the ratio. 78 chairs in 6 rows : ______ chairs in 1 row.

1 answer:

weqwewe [10]2 years ago

6 0

Answer:

13 chairs in one row

Step-by-step explanation:

i don't know how to explain bi have given you the answer already goodbye

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Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle y = \frac{3}{2x^2}$ <u />

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

<u>Step 2: Differentiate</u>

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

<u>Step 3: Solve</u>

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

6 0

2 years ago

Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...

timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

, $a_7=\frac{1}{1296}$ .............Answer

6 0

3 years ago

What is the inverse of the function f(x) = x +3?

Yanka [14]

Answer:

C)h(x) = x-3

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".

f(x) is the y value.

y = x + 3

x = y + 3 Switch x and y

x - 3 = y Subtract 3 from both sides to isolate

y = x - 3 Change back to function of h

h(x) = x - 3

8 0

2 years ago

Read 2 more answers

At the class barbecue, 25 students attended. Of those students, 15 said they wanted hamburgers. What percent wanted hamburgers?

Rom4ik [11]

Answer:

60% of the students wanted hamburgers

Step-by-step explanation:

just multiply

5 0

2 years ago

Read 2 more answers

What is the horizontal distance from the origin to the point 2,9

Rina8888 [55]

Answer:

2

Step-by-step explanation:

The x-coordinate of point (2, 9) is 2.

The distance from 0 to 2 on a number line is 2.

Answer: 2

5 0

2 years ago