Ask question

Ask question

All categories

2 years ago

15

Compulsive hand washing often increases in frequency because it relieves feelings of anxiety. This best illustrates the impact o

f

1 answer:

Otrada [13]2 years ago

6 0

<span>reinforcement on compulsive behaviors

</span>

You might be interested in

which geometric series represents 0.4444... as a fraction? a) 1/4, 1/40, 1/400, 1/4,000 b) 1/40, 1/400, 1/4,000, 1/40,000 c) 4/1

xenn [34]

Answer: $\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}$

Step-by-step explanation:

The given geometric series are:

a) $\frac{1}{4}+\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}$

on simplifying in decimals, we get

$0.25+0.025+0.0025+0.00025=0.27775\neq0.4444$

b) $\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}+\frac{1}{40,000}$

on simplifying in decimals, we get

$0.025+0.0025+0.00025+0.000025=0.027775\neq0.4444$

c) $\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}$

on simplifying in decimals, we get

$0.4+0.04+0.004+0.0004=0.4444$

Thus, this geometric series represent 0.4444.

d) $\frac{1}{10}+\frac{1}{100}+\frac{1}{1,000}+\frac{1}{10,000}$

on simplifying in decimals, we get

$0.1+0.01+0.001+0.0001=0.1111\ \neq0.4444$

7 0

2 years ago

Read 2 more answers

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th

White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

$d=16t$

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

$f(t)=16t$

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

$t\geq0$

The range of the function is the interval-------> [0,∞)

$f(t)\geq0$

<u>Statements</u>

<u>a) The independent variable, the input, is the variable d, representing distance</u>

The statement is false

Because the independent variable is the variable t

<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>

The statement is true

Because the distance's equation in function notation is equal to

$f(t)=16t$

<u>c) The initial value of the scenario is 16 miles per hour</u>

The statement is false

Because $16$ represent the rate or the slope of the linear equation

<u>d) The equation t = d + 16 represents the scenario</u>

The statement is false

Because, the scenario is represented by the function $f(t)=16t$

<u>e) The function f(t) = 16t represents the scenario</u>

The statement is true

8 0

2 years ago

Read 2 more answers

The front of an A-frame house is in the shape of a triangle. The height of the house is 20 feet. The area of the

Rasek [7]

Answer:

sadaasdadsfg

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Three times the sum of half Carlita’s age and 3 is at least 12.What values represent Carlita’s possible age? graph the solution

gulaghasi [49]

<em><u>3 x 12 </u></em>

<em><u>I think because you find out how to graph in the corresponding area on the graph </u></em>

5 0

2 years ago

Read 2 more answers

If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?

marissa [1.9K]

Answer: 58 ft × 58 ft

Step-by-step explanation:

Let the length of the region = x feet

And, the width of the region = y feet

Since, the perimeter of the region = 234 feet ( Given )

⇒ $2(x+y) = 234$

⇒ $x+y = 117$

⇒ $y = 117 - x$

Again the area of the region, A = xy

⇒ $A(x) = x(117-x)$

⇒ $A(x) = 117x - x^2$

By differentiating the above equation with respect to x,

⇒ $A'(x) = 117 - 2x$

For maxima or minima,

$A'(x) = 0$

$\implies 117 - 2x = 0$

$\implies -2x = -117$

$\implies x = 58.5$

Again differentiating equation A'(x) with respect to x,

We get, A''(x) = -2

Hence, For x = 58.5 A''(x) = negative

⇒ For x = 58.5 feet the area A(x) is maximum,

⇒ The length of the region having maximum area = x = 58.5 feet

And, the width of the region having maximum area = y = 117-x= 117 - 58.5=58.5 feet,

⇒ The dimension of the region having the maximum area = 58.5 ft × 58.5 ft

8 0

2 years ago

Read 2 more answers