100 POINTS AND BRAINLIST

Mathematics

1 answer:

liberstina [14]3 years ago

5 0

$\\ \rm\hookrightarrow sinC=\dfrac{AB}{AC}$

$\\ \rm\hookrightarrow sinF=\dfrac{DE}{DF}$

$\\ \rm\hookrightarrow sinZ=\dfrac{XY}{XZ}$

As all angles are same

Ratio remains same

sin48.9°=0.516

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If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ? (w0r)(x)

TiliK225 [7]

Answer:

The range would be all real numbers

Step-by-step explanation:

In order to find (wor)(x), we need to start with the w(x) equation and then input the r(x) equation for every x in the w(x) equation.

w(x) = x - 2

(wor)(x) = (2 - x^2) - 2

(wor)(x) = -x^2

Given this equation, we know that x can be all real numbers

4 0

3 years ago

Read 2 more answers

He number of E.coli bacteria cells in a pond of stagnant water can be represented by the function below, where A represents the

denis-greek [22]

The function that represents the number of E.coli bacteria cells per 100 mL of water as t years elapses, and is missing in the question, is:

$A(t)=136(1.123)^{4t}$

Answer:

Option A. 59%

Explanation:

The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function::

$A(t)=136(1.123)^{4t}$

$rate=(1.123)^{4t}=(1.123)^4=1.590$

Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.

You can calculate it also using two consecutive values for t. For instance, use t =1 and t = 1

$t=1\\\\ A(1)=136(1.123)^4\\\\\\t=2\\ \\ \\A(2)=136(1.123)^8\\ \\ \\A(2)/A(1)=1.123^8/1.1123^4=1.123^4=1.590$