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3241004551 [841]

2 years ago

11

The endpoints of a segment are (4,2) and (-2,2). What are the endpoints of the segment after it has been translated 6 units down

?

1 answer:

Yuki888 [10]2 years ago

4 0

(4,-4) and (-2,-4)

hope that helps!

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After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.

laila [671]

Answer:

Question 1: 0.081 min⁻¹

Question 2: 168ºF

Explanation:

The missing equation is:

$T=T_a+(T_0-T_a)e^{-kt}$

You are given:

Ta = the temperature surrounding the object = 73ºF
T₀ = the initial temperature of the object = 204ºF
t = 2.5 min
T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

$180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}$

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

$T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF$

4 0

2 years ago

An airplane can seat up to 175 passengers the airline has already sold 87 tickets

aniked [119]

What is the question that you are asking? How many seats are left? 88. Or is there more to this question that is not showing?

3 0

2 years ago

Read 2 more answers

What is the graph of the function f(x) = -x^2+x+20/x+4

mr_godi [17]

F(x) = (-x²+x+20) / (x+4)

-x²+x+20 | x+4
+x²+4x -x+5
\\\\ 5x+20
-5x-20
\\\\\\\\\

f(x) = (x+4)(-x+5) / (x+4)

f(x) = (-x+5)

The graph is a decreasing line, with origin from 5.

3 0

2 years ago

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

3 years ago

Adrian has 5 times as many stickers as Derrick. If Adrian has 325 stickers, how many stickers does Derrick have?

Arte-miy333 [17]

Answer: 65

Step-by-step explanation:

65 x 5= 325

5 0

2 years ago