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4 years ago

Compare the domain and the range for the parent quadratic function to the domain and the range for the parent linear function

1 answer:

7 0

The parent linear function is
y = x
The parent quadratic function is
y = x²

The domain of the parent linear function is all real numbers
The range of the parent linear function is all real numbers

The domain of the parent quadratic function is all real numbers
The range of the parent quadratic function is all positive real numbers including 0.<span />

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I have been stuck on this forever plz help <br> What is the surface area of this cylinder

Andrei [34K]

Answer:

1865.16 m^2

Step-by-step explanation:

first let 's find radius of a circle

radius=diameter/2

=18/2

=9 m

area of a cylinder=2πrh+2πr2

=2*3.14*9*24 + 2*3.14*(9)^2

=1356.48 + 2*3.14*81

=1356.48 + 508.68

=1865.16 m^2

6 0

3 years ago

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Y to the 3rd power= 27<br> help pls

USPshnik [31]

Answer:

y=3

Step-by-step explanation:

its a simple equation.

8 0

3 years ago

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A culture started with 4000 bacteria after 8 hours it grew to 4400 bacteria. Predict how many bacteria will be present after 9 h

Leno4ka [110]

$\bf \qquad \textit{Amount for Exponential change}\\\\
A=P(1\pm r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{starting amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed period}\\
\end{cases}\\\\
-------------------------------\\\\$

$\bf A=P(1+r)^t\qquad 
\begin{cases}
\textit{hour 0, starting point}\\
t=0\qquad A=4000
\end{cases}\implies 182=ae^{k0}
\\\\\\
4000=P(1+r)^0\implies 4000=P
\\\\\\
thus\qquad A=4000(1+r)^t\\\\
-------------------------------\\\\$

$\bf A=P(1+r)^t\qquad 
\begin{cases}
\textit{8 hours later}\\
t=8\qquad A=4400
\end{cases}\implies 4400=4000(1+r)^8
\\\\\\
\cfrac{4400}{4000}=(1+r)^8\implies \cfrac{11}{10}=(1+r)^8\implies \sqrt[8]{\cfrac{11}{10}}=1+r
\\\\\\
\sqrt[8]{\cfrac{11}{10}}-1=r\implies 0.012\approx r\qquad thus\qquad \boxed{A=4000(1+0.012)^t}$

how many bacteria after 9 hours? well, 9hours later is just t = 9, plug that in, to get A

4 0

3 years ago

Read 2 more answers

A rectangular prism with a length of 3cm, width of 4cm, and height of 5cm is packed with cubes whose side length is 1/2cm. how m

Dennis_Churaev [7]

Length = 3cm
1/2 cm cube = 3 ÷ 1/2 = 3 x 2 = 6

Width = 4cm
1/2 cm cube = 4 ÷ 1/2 = 4 x 2 = 8

Height = 5cm
1/2 cm cube = 5 ÷ 1/2 = 5 x 2 = 10

Number o 1/2 cubes = 6 x 8 x 10 = 480

8 0

4 years ago

Find the surface area of the triangular prism shown below

Varvara68 [4.7K]

Answer:

174 ft^2

Step-by-step explanation:

$area = 2 \times 8 \times 3 + 2 \times 7 \times 5 + 7 \times 8 \\ = 48 + 70 + 56 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 174 \: {ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

6 0

3 years ago