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Arturiano [62]
3 years ago
9

Find the length of the side labeled (45)

Mathematics
2 answers:
Karolina [17]3 years ago
8 0

Answer:

Step-by-step explanation:

x = 6

lilavasa [31]3 years ago
7 0

Answer:

A.6

Step-by-step explanation:

The hypotenuse is equal to x√2, so x is 6.

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What are the next two numbers in the pattern 3.1, 3.11, 3.11, 33.11
Karo-lina-s [1.5K]
33.11, 311 im pretty sure this is right, if it is not can you please correct me?
3 0
3 years ago
Kylo begins to fill up a bathtub at a steady rate. When the bathtub reaches 50 gallons at 15 minutes, Kylo
attashe74 [19]

Answer:

Please find a visual representation of the scenario generated with MS Excel

Step-by-step explanation:

The given data on how Kylo fills up the bathtub with water are;

The time it takes to fill the bathtub with 50 gallons of water = 15 minutes

The time it takes to drain 30 gallons from the bathtub = 5 minutes

The time it takes to add 5 gallons of hot water = 2 minutes

The time it takes for all the water to drain out = 4 minutes

The given scenario can be represented visually on the coordinate plane, as follows;

The y-axis represents the amount of water in the bathtub in gallons

The x-axis represents the time from the when Kylo begins to fill the bathtub

The coordinates of points in the visual representation of the given scenario are therefore;

At the start, the bathtub is empty;

y = 0, x = 0

Then we have;

\begin{array}{ccc}The \ Number \  of  \ Gallons, \,  y &Time &Cumulative  \  Time, \, x\\0&0&0\\50&15&15\\20&5&20\\25&2&22\\0&4&26\end{array}

Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario

5 0
3 years ago
For f(x)= 7x+13, find f(x) when x= -3.
wariber [46]
 f(x) = 7x + 13
f(-3) = 7(-3) + 13
f(-3) = -21 + 13
f(-3) = -8
8 0
3 years ago
Consider the function f ( x ) = − 5 x 3 f(x)=-5x3. Determine the average rate of change (ARoC) of f f over the following interva
NeTakaya

Answer:

The average rate of change in the interval (3, 3.5) is -158.75          

Step-by-step explanation:

We are given the following function in the question:

f(x) = -5x^3

We have to find average rate of change over the interval:

x = 3 to x = 3.5

Average rate of change  =

=\dfrac{\delta f(x)}{\delta x}\\\\=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}\\\\=\dfrac{-5(3.5)^3+5(3)^3}{3.5-3}\\\\= \dfrac{-79.375}{0.5}\\\\=-158.75

Thus, the average rate of change in the interval (3, 3.5) is -158.75

6 0
3 years ago
40 POINTS PLEASE HELP
lord [1]

Answer:

-1.596

Step-by-step explanation:

4^(x + 3) = 7

log4 both sides

log4[4^(x + 3)] = log4(7)

(x + 3) × log4(4) = lg7/lg4

x + 3 = 1.403677461

x = -1.596322539

7 0
3 years ago
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