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Maru [420]
3 years ago
12

An elevator is supported by a cable and is moving downward through the elevator shaft at constant speed.

Mathematics
1 answer:
Nana76 [90]3 years ago
3 0

Answer: D The upward tension force in the cable is equal to the downward force of gravity.

Step-by-step explanation:

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What sine function represents an amplitude of 1, a period of 2π, a horizontal shift of π, and a vertical shift of −4?
Gwar [14]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}
\\\\
f(x)=&{{  A}}cos({{  B}}x+{{  C}})+{{  D}}\\\\
f(x)=&{{  A}}tan({{  B}}x+{{  C}})+{{  D}}
\end{array}
\\\\
-------------------\\\\

\bf % template detailing
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{  A}}|\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\

\bf \bullet \textit{vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\left. \qquad  \right. \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\left. \qquad  \right. \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)

with that template in mind, let's see

the period of 2π, well, for that, you have to do nothing, because that's sine original period

Amplitude of 1, well, that's also sine's original amplitude

horizontal shift/phase... ok, that means C/B = π, now, it doesn't say if to the left or the right, so I gather either is ok, so...let's do the right

you could use then, C = -π and B = 1, that gives you -π/1 or -π

vertical shift of -4, well, that simply means D = -4

f(θ) = sin(θ - π) - 4   <-- will do
5 0
4 years ago
Teresa went to a bakery to buy bagels. Each bagel at the bakery was the same price. Teresa paid $5.00 for 4 bagels.
erastova [34]

Answer:$1.25 per bagel

Step-by-step explanation:

5/4=1.25

6 0
3 years ago
Explain why P(A|D) and P(D|A) from the table below are not equal. A 4-column table has 3 rows. The first column has entries A, B
dangina [55]

Answer:

P(A|D) and P(D|A) from the table above are not equal because P(A|D) = \frac{2}{10} and P(D|A) = \frac{2}{8}

Step-by-step explanation:

Conditional probability is the probability of one event occurring  with some relationship to one or more other events

.

P(A|D) is called the "Conditional Probability" of A given D

P(D|A) is called the "Conditional Probability" of D given A

The formula for conditional probability of P(A|D) = P(D∩A)/P(D)

The formula for conditional probability of P(D|A) = P(A∩D)/P(A)

The table

               ↓         ↓       ↓

            :  C     :   D    : Total

→ A      :  6     :    2    :   8

→ B      :  1      :    8    :   9

→Total :  7     :    10  :  17

∵ P(A|D) = P(D∩A)/P(D)

∵ P(D∩A) = 2 ⇒ the common of D and A

- P(D) means total of column D

∵ P(D) = 10

∴ P(A|D) = \frac{2}{10}

∵ P(D|A) = P(A∩D)/P(A)

∵ P(A∩D) = 2 ⇒ the common of A and D

- P(A) means total of row A

∵ P(A) = 8

∴ P(D|A) = \frac{2}{8}

∵ P(A|D) = \frac{2}{10}

∵ P(D|A) = \frac{2}{8}

∵  \frac{2}{10} ≠  \frac{2}{8}

∴ P(A|D) and P(D|A) from the table above are not equal

5 0
4 years ago
Read 2 more answers
Factor the equation 45x - 81
alex41 [277]

Answer:

Step-by-step explanation:

45x = 9*5*x

81 = 9*9

GCF = 9

Take 9 out using distributive property { a*b - c*b = b*(a-b)}

45x - 81 = 9*5x - 9*9

            = 9*(5x - 9)

          =9(5x-9)

5 0
3 years ago
(5x^2-8x+1)+(2x^2-4x-11)
UkoKoshka [18]

Answer:

7x^2 - 12x - 10

Step-by-step explanation:

5x^2 - 8x + 1 + (x^2 - 4x - 11)

7x^2 - 8x + 1 - 4x - 11

3 0
3 years ago
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