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ivann1987 [24]
3 years ago
15

Which mathematical sentence is represented by the diagram

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

I will attach a picture, but I need you to attach a screenshot so I can solve it.

Step-by-step explanation:

But here:

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A 20-pound bag of dog food costs $16. What is the unit price per pound? ​
ch4aika [34]

Answer:

0.8

Step-by-step explanation:

To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.

Hope This Helped!!

6 0
3 years ago
HELP ILL GIVE U THE BRAINLIEST
adoni [48]

Answer:

(0, 3 )

Step-by-step explanation:

To find the y- intercept , substitute x = 0 into f(x), that is

f(0) = 3 × 4^{0} [ note 4^{0} = 1 ]

      = 3 × 1

      = 3

y- intercept = (0, 3 )

8 0
3 years ago
Read 2 more answers
Determine the intercepts of the line that passes through the following points
shepuryov [24]

Answer:

(2,0) - x -intercept

(0, 1.5) - y-intercept

Step-by-step explanation:

The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.

The x values increase by 4.

So the rate of change is -3/4.

This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.

To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:

x                      y

-2                    3

0                      ???

2                      0

6                     -3

10                    -6

14                    -9

Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.

5 0
3 years ago
\int\limits^0_∞ cos{x} \, dx
JulijaS [17]

Answer:

\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)

General Formulas and Concepts:

<u>Pre-Calculus</u>

  • Unit Circle
  • Trig Graphs

<u>Calculus</u>

  • Limits
  • Limit Rule [Variable Direct Substitution]:                                                     \displaystyle \lim_{x \to c} x = c
  • Integrals
  • Integration Rule [Fundamental Theorem of Calculus 1]:                             \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)
  • Trig Integration
  • Improper Integrals

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \int\limits^0_\infty {cos(x)} \, dx

<u>Step 2: Integrate</u>

  1. [Improper Integral] Rewrite:                                                                         \displaystyle  \lim_{a \to \infty} \int\limits^0_a {cos(x)} \, dx
  2. [Integral] Trig Integration:                                                                             \displaystyle  \lim_{a \to \infty} sin(x) \bigg| \limits^0_a
  3. [Integral] Evaluate [Integration Rule - FTC 1]:                                               \displaystyle  \lim_{a \to \infty} sin(0) - sin(a)
  4. Evaluate trig:                                                                                                 \displaystyle  \lim_{a \to \infty} -sin(a)
  5. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  -sin(\infty)

Since we are dealing with infinity of functions, we can do a numerous amount of things:

  • Since -sin(x) is a shift from the parent graph sin(x), we can say that -sin(∞) = sin(∞) since sin(x) is an oscillating graph. The values of -sin(x) already have values in sin(x).
  • Since sin(x) is an oscillating graph, we can also say that the integral actually equates to undefined, since it will never reach 1 certain value.

∴  \displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}

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

Unit: Improper Integrals

Book: College Calculus 10e

7 0
3 years ago
Ronna is recording what kind of shoes people are wearing at the mall. Out of 13 people she has seen, 2 are wearing boots. What i
agasfer [191]

Answer:

There is 0.1538 or 15.38% probability that the next person Rona sees will be wearing boots.

Step-by-step explanation:

Total number of People = 13

People wearing boot = 2

Experimental Probability = Number of times event occurs / Total Number of Trials

Experimental Probability = 2 / 13

Experimental Probability = 0.1538

Or

Experimental Probability =  15.38%

So, there is 0.1538 or 15.38% probability that the next person Rona sees will be wearing boots.

7 0
3 years ago
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