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vagabundo [1.1K]
2 years ago
15

Here is part of a bus timetable:

Mathematics
2 answers:
Katyanochek1 [597]2 years ago
4 0
To the magic school with Mrs frizzle
lord [1]2 years ago
3 0

Answer: a)08:04

B)07:00

C)14 minutes

Step-by-step explanation:

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Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below
Maksim231197 [3]

Answer:

The step 4 and 5 describe the errors Stephen made.

Step-by-step explanation:

Given : Stephen evaluated (6.34\times 10^{-7})(4.5\times 10^3).  His work is shown below.

To find : Which two statements describe the errors Stephen made?

Solution :

Step 1 - (6.34\times 10^{-7})(4.5\times 10^3)

Step 2 - (6.34\times 4.5)(10^{-7}\times 10^3)

Step 3 - (28.53)(10^{-4})

Step 4 - 28.53\times 10^{4}

Error is the step as 4 sign is negative.

So correct step is 28.53\times 10^{-4}

Step 5 - 28.53\times 10^{3}

Error is the step as there is 4 in place of 3.

So correct step is 28.53\times 10^{-4}

The step 4 and 5 describe the errors Stephen made.

7 0
3 years ago
Read 2 more answers
A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
Kasey needs 1.5 cups of milk and 4 cups of sugar to make 12 muffins. She plans to make 36 muffins . How many fl oz of sugar does
Masja [62]

Answer:

12 cups of milk

Step-by-step explanation:

36/12= 3

4 x 3= 12

So the Answer is 12 cups of milk

4 0
3 years ago
Solve the inequality.-5 (x-1) &gt; -40
Tresset [83]
<h2>x > 9</h2>

Step-by-step explanation:

<h3><em>-</em><em>5</em><em> </em><em>(</em><em>x</em><em>-</em><em>1</em><em>)</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em><em> </em><em>-</em><em>5</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>5</em></h3><h3><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>5</em><em> </em><em>÷</em><em> </em><em>-</em><em>5</em></h3><h3><em>x</em><em> </em><em>></em><em> </em><em>9</em></h3>

<h2>MARK ME AS BRAINLIST</h2><h2>PLZ FOLLOW ME</h2>
5 0
3 years ago
Find the given term 11, -33,99 9th term
kvv77 [185]
Assuming the sequence goes on like this 11,-33,99,-297,891,...,
its general formula is a_n=-11\cdot(-1)^n\cdot3^{n-1}

So, the 9th term is
a_9=-11\cdot(-1)^9\cdot3^{9-1}=-11\cdot(-1)\cdot6561=72171
5 0
3 years ago
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