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Akimi4 [234]
4 years ago
8

An equation is shown below:

Mathematics
2 answers:
Pie4 years ago
8 0

Answer:

x = 1

5 (2x - 8) + 15 = -15

5 (-6) + 15 = -15

-30 + 15 = -15

Hope This Helps!

Roman55 [17]4 years ago
4 0
PEMDAS

10x -40 +15 = -15
-10x                -10x
________________
-40 +15 = -15 - 10x
+15          +15
________________
-40 + 15 +15 = -10x
_______________
-40 + 30 = -10x
_____________
-25 = -10x
+10    +10
________
-15 = x

<em>Hopefully this all makes sense to you ☺</em>
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A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
IRISSAK [1]
<h2>Hello!</h2>

The answer is: 23.77 hours

<h2>Why?</h2>

Total(t)=Start*2^\frac{t}{15}

Where:

Total(t) is equal to the amount for a determined time (in hours)

<em>Start</em> is the original amount

<em>t </em>is the time in hours.

For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

Total(15)=100*2^\frac{15}{15}=100*2^{1}=100*2=200

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

300=100*2^{\frac{t}{15} } } \\\frac{300}{100}=2^{\frac{t}{15} } }\\log(3)=log(2^{\frac{t}{15} })\\\\\\log(3)=\frac{t}{15}*log2\\t=\frac{log(3)}{log(2)} *15=23.77

So, to know if we are right, let's replace 23.77 h in the equation:

Total(t)=100*2^\frac{23.77}{15}=299.94

and 299.94≅300

Have a nice day!

8 0
3 years ago
Read 2 more answers
Solving systems of equations using substitution y=2x Y=-2x-4 X= Y=
podryga [215]

Answer:

hope this helps

Step-by-step explanation:

y=2x

y=-2x-4

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4x=-4

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im sorry but im not sure what y is

6 0
3 years ago
Write fractions in simplest form 5/6 + 8/6
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Answer:

13/6

Step-by-step explanation:

Since the denominator is the same, you can add the numerator. 13/6 is the simplest form.

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2 - The length of a field, 1.2 km long is represented on a map bye
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<h2>1,000,000 mm:1 km</h2>

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This problem bothers on the conversion of units

to get the scale we need to know how many millimetres are there in one km.

Hence the scale is 1,000,000 mm:1 km

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3 years ago
Which of the following are continuous functions? (Select all that apply.) The temperature at a specific location as a function o
castortr0y [4]

Answer with Step-by-step explanation:

A continuous function is a function that is defined for all the values in it's domain without any sudden jumps in the values in the domain of the function. All the given situations are analysed below:

1) The temperature at la location as a function of time is continuous function since at any location the temperature is defined for all the time and the temperature cannot suddenly change from say 10 degrees Celsius to 100 degrees Celsius instantly without passing through intermediate values.

2) The temperature at a specific time as a function of the distance due west from New York city is a continuous function as temperature is defined for all the instants of time without any sudden changes as we move between places.

3) The altitude as an function of distance due west from New York is a discontinuous function as there may be sudden changes in the altitude due to changes in topography such as presence of cliff or valley.

4) The cost as a function of function of distance traveled is a discontinuous function since the cost of travel increases integrally in increments of distance and not in a continuous manner.

5) The current in a circuit as function of time is discontinuous function as the current jumps instantly from 0 to a non zero value when we switch on the circuit and same is true when we switch off the circuit it's value decreases instantly to 0.  

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