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Mandarinka [93]
3 years ago
7

grandma's cake recipe calls for 2 cups of flour and 3 ounces of oil.how many ounces of oil would be needed for 15 cups of flour?

Mathematics
1 answer:
podryga [215]3 years ago
8 0
42 ounces of oil would be needed
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Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
STatiana [176]

<em>Note:</em><em> You missed to add some of the details of the question. </em>

<em>Hence, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.</em>

<em></em>

Answer:

Please check the explanation.

Step-by-step explanation:

Given the right angled-triangle ABC as shown in the attached diagram

From the triangle:

Ф= ∠C = 30°

AB = 6 units

BC = y

tan Ф = opp ÷ adjacent

The opposite of ∠C = 30°  is the length '6'.

The adjacent of ∠C = 30°  is the length 'y'.

As Ф= ∠C = 30°

so

tan Ф = opp ÷ adjacent

tan 30 = 5  ÷ y

1 ÷ √3 = 5  ÷ y

y = 8.7 units

Therefore, the length of the unknown side length 'y' is 8.7 units.

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2 years ago
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Serhud [2]

Answer:

I think the answer is {10,20,30} but please check it

6 0
3 years ago
Read 2 more answers
The graph of a function f is given. Use the graph to estimate the following. (Enter your answers using interval notation.)
kirill [66]

Using the graph and function concepts, it is found that:

a) The domain is [-5,4], while the range is [-2,-5]

b) The function is increasing in [0,1] and [2,3], and decreasing [-5,0], [1,2], and [3,4].

--------------------

  • The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
  • The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
  • If the <em>graph </em>is pointing upwards, the function increases.
  • If the <em>graph </em>is pointing downwards, the function decreases.

--------------------

Item a:

  • On the graph, the x-values are from -5 to 4, thus the domain is: [-5,4]
  • The y-values are from -2 to -5, thus, the range is: [-2,-5]

--------------------

Item b:

  • On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in [0,1] and [2,3].
  • On the other intervals,  [-5,0], [1,2], and [3,4], the function is decreasing.

A similar problem is given at brainly.com/question/10891721

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3 years ago
Estimate the slope of the tangent line to the curve f(x) = x2 at the point (1, f(1)) by examining the trend in the secant slopes
Ilya [14]

Answer:

f'(1) = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

<u>Calculus</u>

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Basic Power Rule:

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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x²

Point (1, f(1))

<u>Step 2: Differentiate</u>

  1. Basic Power Rule:                     f'(x) = 2 · x²⁻¹
  2. Simplify:                                     f'(x) = 2x

<u>Step 3: Find Slope</u>

<em>Use the point (1, f(1)) to find the instantaneous slope</em>

  1. Substitute in <em>x</em>:                        f'(1) = 2(1)
  2. Multiply:                                   f'(1) = 2

This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)

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