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3 years ago

If a varies directly as p, and a = 260 when p = 13, what is the value of a when p = 17?

Mathematics

1 answer:

Talja [164]3 years ago

6 0

Answer:

340

Step-by-step explanation:

As 260/13 = a/p

So, a/p = 20

Therefore, a= 20p

p=17

So, a = 20p

a= 20x17

a= 340

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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

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3 years ago

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PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Murrr4er [49]

Answer:

option D

Step-by-step explanation:

Jerry solved this equation:

$3(x-\frac{1}{4})=\frac{13}{6}$

In the first step , she multiplied 3 inside the parenthesis

1. $3x-\frac{3}{4}=\frac{13}{6}$

In step 2, 3/4 is added on both sides

2. $3x-\frac{3}{4}+\frac{3}{4}=\frac{13}{6}+\frac{3}{4}$

In step 3, we take LCD 12

3. $3x=\frac{26}{12}+\frac{9}{12}$

In step 4, add the fractions

4. $3x=\frac{35}{12}$

Here, 3 or 3/1 are same.

$\frac{3}{1}x=\frac{35}{12}$

In step 5, to remove 3/1 we multiply both sides by 1/3.

Instead of multiplying 1/3 , Jerry made an error by multiplying 3/1

$\frac{1}{3} \cdot \frac{3}{1}x=\frac{1}{3} \cdot \frac{35}{12}$

$x=\frac{35}{36}$

In step 5, he should have multiplied both sides by 1/3

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3 years ago

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Find the errors and correct the following mathematical sentences.

Sergio039 [100]

Answer:

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3 years ago

According to these measure, is it possible that the heaviest piece of fruit in the two samples was an orange? Explain why or why

nalin [4]

Answer:

The measures given which are median and interquartile range have no effect on what the maximum value of a certain distribution will be.

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Step-by-step explanation:

Pls brainliest?

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students at a bake sale sell bags of cookies for $2.25 each and bags of miniture muffins for $1.50 each. They received a $25 don

Soloha48 [4]

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4 years ago

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