Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows.

Answers

Answer 1
Answer:

The question is incomplete, the complete question is below:

Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows: T(h) = 30.5 -2.5h.

a) Calculate T^-1(x)

b) T^-1(15)

Answer:

a) T^(-1) (x)= (30.5-x)/(2.5)

b) 6.2 °C

Step-by-step explanation:

a) T(h) = 30.5 - 2.5h\n2.5h = 30.5-T(h)\nh = (30.5-T(h))/(2.5)\n T^(-1) (x)= (30.5-x)/(2.5)

b) T^(-1) (x)= (30.5-x)/(2.5)\n\nT^(-1) (15)= (30.5-15)/(2.5)=6.2


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Suppose that X is a random variable with probability function x 0 1 2 3 4 5 P(x) 0.00032 0.0064 0.0512 0.2048 0.4096 0.32768 and that the random variable Y = 9X2 − 36X + 4. (a) What is the range of Y ? (b) Calculate P{Y = 4}. (c) Calculate P{Y = 0}.

Answers

(a) For each value of X we have:

X=0\quad\Rightarrow\quad Y=4\n\nX=1\quad\Rightarrow\quad Y=-23\n\nX=2\quad\Rightarrow\quad Y=-32\n\nX=3\quad\Rightarrow\quad Y=-23\n\nX=4\quad\Rightarrow\quad Y=4\n\nX=5\quad\Rightarrow\quad Y=49

so the range of Y = {-32, -23, 4, 49}

(b)

P\{Y=4\}=P\{X=0\}+P\{X=4\}=0.00032+0.4096=\boxed{0.40992}

(c)

Y cannot equal 0, so

P\{Y=0\}=0

Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared plus eleven.

Answers

Answer:  11

Step-by-step explanation:

\displaystyle \lim_(x \to 0) x^2+11 \qquad =(0)^2+11\qquad =\large\boxed{11}

Hellpp -4c - 9.6 +5c = 0

Answers

Answer:

c =9.6

Step-by-step explanation:

-4c - 9.6 +5c = 0\n\n\mathrm{Group\:like\:terms}\n-4c+5c-9.6=0\n\n\mathrm{Add\:similar\:elements:}\:-4c+5c=c\nc-9.6=0\n\n\mathrm{Add\:}9.6\mathrm{\:to\:both\:sides}\nc-9.6+9.6=0+9.6\n\nSimplify\nc=9.6

Answer:

c = 9.6

Step-by-step explanation:

Let's look at our equation; - 4c - 9.6 + 5c = 0. Now we need to collect the like terms which are -4c and 5c.

- 4c - 9.6 + 5c = 0

5c - 4c - 9.6 = 0

We get: c - 9.6 = 0

Now we will add 9.6 on each side to see what c is equal to.

c - 9.6 = 0

  +9.6    +9.6

c = 9.6

Yay! We got our answer! Nice job everyone!

Volume round to the nearest tenth

Answers

Answer:

504 in.

Step-by-step explanation:

6 · 12 · 7 = 504

Answer:

504in^3

Step-by-step explanation:

voluke of rectangular prism formula: LWH

where l=length(7)

w=width(12)

h=height(6)

so

7*12*6=504

504in^3

Siri round each number to the place of the underlined digit 7.158 The underlined number is five

Answers

the answer is 7.160 !!

Twenty-one less than a number is seven. What is the number?
3
14.
28
147

Answers

Answer: the answer will be 28

Step-by-step explanation:

First you have to add 21+7 which equals to 28 and that's how I got my answer.

Please mark me brainiiest.

Answer:

28

Step-by-step explanation:

add 7 + 21