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4 years ago

Please i need to get good grades

Mathematics

1 answer:

daser333 [38]4 years ago

7 0

Answer:

47°

Step-by-step explanation:

angles x and 133 are supplementary, so they add up to 180°

subtract 133 from 180 to get 47

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Find the derivative of

kirill [66]

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

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

Step 2: Differentiate

[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]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

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

3 years ago

Pls help :) determine which function has a greater rate and explain how you know.

Nesterboy [21]

Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.

<h3>What is an exponential function?</h3>

It is modeled by:

$y = ab^x$

In which:

a is the initial value, that is, y when x = 0.

b is the rate of change, as a decimal.

Function 1 is given by:

$y = 2(0.2)^x$

Hence the rate is b = 0.2.

Considering the values on the table, function 2 is given by:

$y = (0.8)^x$

Hence the rate is b = 0.8.

Hence, the second function has a greater rate, as 0.8 > 0.2.

More can be learned about exponential function concepts at brainly.com/question/14398287

4 0

2 years ago

Solve for x, 3x^2 x x - 5=0

lora16 [44]

Answer:

,32−5=0

this is answerrr

5 0

3 years ago

Read 2 more answers

Which mapping diagram does NOT represent a function from x → y?

alexandr402 [8]

Answer:

Step-by-step explanation:

The answer is D because for it to be a function x-value can only have one output. For D, 8 has two outputs 1 and 4.

5 0

3 years ago

Read 2 more answers

Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):

kow [346]

Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.

To find the mean of the data set shown here, let's begin by adding the numbers.

11 + 10 + 12 + 14 + 5 + 15 + 7 + 6 = 80

80 will now be divided by how many numbers are in the set which is 8.

80 ÷ 8 = 10

This means that the mean of the data set is 10.

___________________________________________________

Now, let's find the median of the data set. The median is the middle number in the data set when the data set is written from least to greatest.

Least to greatest ⇒ 5, 6, 7, 10, 11, 12, 14, 15

Since there are two numbers in the middle of the data set, we need to add the two numbers that are in the middle and divide the sum of the numbers by 2 since there are two numbers.

The two numbers in the middle are 10 and 11.

10 + 11 = 21

21 ÷ 2 = 11.5

Therefore, 11.5 the median of the data set.

5 0

3 years ago