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3 years ago

Which one is higher 45 fahrenheit or 30 celsius?

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

8 0

30°C = 86°F
30°C is higher :)

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Please help will reward brainlest

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3 years ago

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a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12

TiliK225 [7]

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s

3 0

2 years ago

The following points are the vertices of a shaded triangle. (2,5), (6,−3), (−2,−3) a. Write a system of linear inequalities repr

raketka [301]

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2 years ago

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A card is drawn from a pack of 52 cards. Find the probability of drawing an ace given that it is diamond.4/521/132/134/13

ICE Princess25 [194]

Solution:

The probability of an event is expressed as

$P(event)=\frac{number\text{ of desired outcome}}{number\text{ of possible outcome}}$

In a pack of 52 cards, we have

$\begin{gathered} number\text{ of diamonds=13} \\ number\text{ of ace= 1} \end{gathered}$

Thus, we have the probability to be evaluated as

$P(ace)=\frac{1}{13}$

8 0

10 months ago

Find the f^-1(x) and it’s domain

borishaifa [10]

Answer:

$f^{-1}(x) = (x + 8)^2$

$x \ge -8$

Step-by-step explanation:

Given

$f(x) = \sqrt x - 8$

Solving (a): $f^{-1}(x)$

We have:

$f(x) = \sqrt x - 8$

Express f(x) as y

$y = \sqrt x - 8$

Swap x and y

$x = \sqrt y - 8$

Add 8 to $both\ sides$

$x + 8 = \sqrt y - 8 + 8$

$x + 8 = \sqrt y$

Square both sides

$(x + 8)^2 = y$

Rewrite as:

$y = (x + 8)^2$

Express y as: $f^{-1}(x)$

$f^{-1}(x) = (x + 8)^2$

To determine the domain, we have:

The original function is $f(x) = \sqrt x - 8$

The range of this is: $f(x) \ge -8$

The $domain$ of the $inverse$ function is the $range$ of the $original$ function.

<em>Hence, the domain is:</em>

$x \ge -8$

3 0

3 years ago