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3 years ago

Analyze the data represented in the graph and select the appropriate model. A) exponential B) linear C) none D) quadratic

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

7 0

Answer:

exponentialIt couldn’t be liner, liner is straight, the line is wriggly,, quadriceps obv no, so it has to be exponential.

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Can anybody help me solve this ?

qaws [65]

Answer:

77*

First we are going to take our given number, 25* and 78* and add them together.

25* + 78* = 103*

And subtract our answer, 103*, from 180*.

180* - 103* = 77*

77* is our missing angle. To prove it, we add angle measures a, b, and c, to make the number 180*

25* + 78* + 77* = 180*

Another way to write it is . . .

180* - (A + B) = C

~Hope this helps~

5 0

3 years ago

What is the value of 1/2 divided by 3/5

Salsk061 [2.6K]

Answer:

5/6

Step-by-step explanation:

1/2 / 3/5

1/2*5/3

5/6

4 0

3 years ago

Read 2 more answers

If the gradient of the tangent to

Marizza181 [45]

Answer:

Point A(9, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Anything to the 0th power is 1
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$
Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \sqrt{x}$

$\displaystyle y' = \frac{1}{6}$

Step 2: Differentiate

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

Step 3: Solve

Find coordinates of A.

x-coordinate

Substitute in y' [Derivative]: $\displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}$
[Multiplication Property of Equality] Multiply 2 on both sides: $\displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}$
[Multiplication Property of Equality] Cross-multiply: $\displaystyle \sqrt{x} = 3$
[Equality Property] Square both sides: $\displaystyle x = 9$

y-coordinate

Substitute in x [Function]: $\displaystyle y = \sqrt{9}$
[√Radical] Evaluate: $\displaystyle y = 3$

∴ Coordinates of A is (9, 3).

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

Unit: Derivatives

Book: College Calculus 10e

7 0

3 years ago

Danika signs up to work for 3 1/2 hours at the science fair. If each work shift is 3/4 hour, how many shifts will Danika work?

forsale [732]

namely, how many times does 3/4 go into 3½? Let's firstly convert the mixed fraction to improper fraction.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\div \cfrac{3}{4}\implies \cfrac{7}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{3}\implies \cfrac{14}{3}\implies 4\frac{2}{3}$

5 0

3 years ago

Read 2 more answers

Factor the expression 49b²-36

Travka [436]

Answer:

49b² - 36

Step-by-step explanation:

Find the factors of 49 & 36:

49 = 1, 7, 49

36 = 1, 2, 6, 18, 36

As you can tell, there are no common factors (1 does not count), therefore, the expression given is already in most factored form.

49b² - 36 is your answer.

7 0

3 years ago

Analyze the data represented in the graph and select the appropriate model. A) exponential B) linear C) none D) quadratic​

Analyze the data represented in the graph and select the appropriate model. A) exponential B) linear C) none D) quadratic