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Fiesta28 [93]
3 years ago
14

Y+9 – x; use x = 1, and y = 3

Mathematics
1 answer:
Setler [38]3 years ago
6 0

Answer:

11

Step-by-step explanation:

3+9-1

12-1

11

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A bacteria culture doubles twice a day. There are 143,622 bacteria present on day 15. How many were present on day 10?
gtnhenbr [62]

Answer:

140

Step-by-step explanation:

- 143,622 bacteria present on day 15

- the bacteria doubles twice a day

that means each day backwards, the bacteria is four times less the day before

therefore:

- on day 14, the number of bacteria is 143,622 / 4

which is 35,905.5

and so on!

so:

- day 13 = 8,976.375

- day 12 = 2,244.09375

- day 11 =  561.0234375

- day 10 = 140.255859375

this rounded to the nearest whole number is

= 140 bacteria

(you can't have a part of a bacteria!)

hope this helps! :)

8 0
3 years ago
How do I graph x squared + (y+4) squared = 9
Mashcka [7]

Answer:

I usually use this graphing calculator to graph:

www . desmos . com / calculator

3 0
3 years ago
75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The t
yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

t+2=3+\dfrac{(x-3\times35)}{51}

As t is same, thus put the value of t in this equation,

\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

#SPJ1

6 0
2 years ago
Which pair of undefined terms is used to define the term parallel lines?
nikdorinn [45]

Answer:

The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines

Step-by-step explanation:

3 0
3 years ago
Which of the following is a solution to sin x/2 = sqrt3/2 ?
Vera_Pavlovna [14]

Answer:

A. 60 degrees

Step-by-step explanation:

Solution to sin(x/2)=(\sqrt{3}/2)

By looking at this equation, I can identify that the answer must be within the first quadrant since the numerator and denominator are both positive.

Since it is in the first quadrant, the range of the value of the answer must be between 0 degrees less than or equal to x less than or equal to 90 degrees.

I can also identify that this is a 30, 60, 90 degree triangle because it has a \sqrt{3} and 2 as the numerator and denominator; in this case this tells us that we are dealing with a 30, 60, 90 degree triangle because that is the only triangle with those 2 respective sides.

Once identifying those two pieces of information, we can then determine the answer.

Since sin is equal Opposite/Hypotenuse, we can then substitute the sides of the triangle (\sqrt{3}, 2) to find the angle (unknown).

So the equation would look like this,

Sinx/2=\sqrt{3}/2 (\sqrt{3} representing the opposite side of the angle; 2 representing the Hypotenuse of the triangle)

We can then conclude that 60 degrees is the unknown angle, due to the nature of a 30 60 90 degree triangle.

*Use the attachment for reference

Therefore, the answer, 60 degrees, is a solution to the equation "sin(x/2)=(\sqrt{3}/2)"

3 0
3 years ago
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