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jok3333 [9.3K]
3 years ago
9

A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the

Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer:

The speed of the plane is v=1.2\: m/s

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

v=\frac{x}{t}=\frac{6}{5}

v=1.2\: m/s

I hope it helps you!

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1/2a + (-3a) - 3b - 0.7a
Anna71 [15]
If you would like to calculate 1/2 * a + (-3 * a) - 3 * b - 0.7 * a, you can do this using the following steps:

1/2 * a + (-3 * a) - 3 * b - 0.7 * a = 0.5 * a - 3 * a - 0.7 * a - 3 * b = - 3.2 * a - 3 * b

The correct result would be - 3.2 * a - 3 * b.
5 0
2 years ago
A house appreciates (grows in value) about 6% each year. If the house is now worth 158,000, in about how many years will it be w
expeople1 [14]
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years

CHECK
y = 158,000(1.06)^4
y = 199,471.36
8 0
3 years ago
Need help with 9 and 12(theirs a picture)
Doss [256]

Number 6 is incorrect. Remember when you see -(-1) that is addition because you are subtracting a negative from a negative so you take the negative sign away and you have a positive. The correct answer to 6 is -75. For number 9 the first thing that you are gonna do is distribute that negative sign to the -12 in parentheses. This will make it a positive 12 which leaves you with

-8+12-31=-27

Next for number 12 you will distribute the - sign onto the -9 in parentheses and the -16 in parentheses. This will leave you with -16+9+16=9

Hope that this helped!

8 0
3 years ago
Solve using substitution: y + 2x = -1 and y - 3X = 16
marusya05 [52]

Answer:

Alright i'm just going to assume your doing both of them one at a time.


y + 2x = - 1: So Alright Graph using the slope and y-intercept

Slope: - 2

Y-intercept: - 1

And the other

- 3x = 16: same as well So the Answer to this is Except solve for x by simplifying both sides of the equation, then isolating the variable

Exact form: x = - 16/3

Decimal form: x = - 5.3 Well Hope this helps :)


Step-by-step explanation:


8 0
3 years ago
Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours, and Jaquan starts with 80 bacteri
Ymorist [56]
Given that x=number of days
To model the expressions we use the exponential growth given by:
y=a(b)^nx
where:
a=initial value
b=growth factor
n=24 hours
thus Colby's experiment will be:
y=50(2)^(1/2*24*x)
y=50(2)^(12x)
N/B we multiply by 24 so as to convert days into hours

b] <span>Jaquan's starts with 80 bacteria that double every 3 hours.
a=80, b=2
thus
y=80(2)^(1/3</span>×24×x<span>)
simplifying the above we get:
y=80(2)^(8x)</span>
4 0
2 years ago
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