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Gennadij [26K]
2 years ago
12

Kiley went 5.7 km/h north and then went 5.8 km/h west. From start to finish, she went 8.1 km/h northwest to find Maya Rodriguez.

Mathematics
1 answer:
enot [183]2 years ago
6 0

Answer:

  • D. 5.7 km/h north and 5.8 km/h west are instantaneous velocities, while 8.1 km/h northwest is the average velocity.

Step-by-step explanation:

We are given directions and position change.

This is about the velocity, the speed doesn't take into account the direction.

We also see the change in the velocity. The numbers give us instantaneous velocities and the displacement is the average velocity as the sum of vectors.

Considering the above explanation, correct choice is D.

You might be interested in
Radioactive Decay:
Vadim26 [7]

The question is incomplete, here is the complete question:

The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.

When will there be less than 1 g remaining?

<u>Answer:</u> The time required for a radioactive substance to remain less than 1 gram is 168.27 days.

<u>Step-by-step explanation:</u>

All radioactive decay processes follow first order reaction.

To calculate the rate constant by given half life of the reaction, we use the equation:

k=\frac{0.693}{t_{1/2}}

where,

t_{1/2} = half life period of the reaction = 46 days

k = rate constant = ?

Putting values in above equation, we get:

k=\frac{0.693}{46days}\\\\k=0.01506days^{-1}

The formula used to calculate the time period for a first order reaction follows:

t=\frac{2.303}{k}\log \frac{a}{(a-x)}

where,

k = rate constant = 0.01506days^{-1}

t = time period = ? days

a = initial concentration of the reactant = 12.6 g

a - x = concentration of reactant left after time 't' = 1 g

Putting values in above equation, we get:

t=\frac{2.303}{0.01506days^{-1}}\log \frac{12.6g}{1g}\\\\t=168.27days

Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.

7 0
3 years ago
How many angles between 0° and 360° have a tangent of<br> of 2/3?
slega [8]

Answer:

  2

Step-by-step explanation:

The tangent is positive in quadrants I and III. There are two angles with that tangent value:

  33.96° and 213.69°

5 0
2 years ago
How do I solve for x? <br>10x+6=8-2(x+6)
Neporo4naja [7]

1. 10x+6=8-2(x+6)

2. 10x+6=6(x+6)

(distribute the 6)

3. 10x+6=6x+36

(Move the 6x to the other side by subtracting)

4. 4x+6=36

(Move the 6 to the other side by subtracting)

5. 4x=30

(divide)

x=7.5


Hope this helped! :)

6 0
3 years ago
Elena and Lin are trying to solve 12x+3=72x+5. Describe the change they each make to each side of the equation.
algol13

Answer:

No Solution

Step-by-step explanation:

12x + 3 = 72x + 5

subtract 12x from both sides

end up with

3 = 72x - 12x + 5

subtract 12x to 72x

3 = 60x + 5

-5 from both sides

-8 = 60x

since x is a bigger number the answer would be NO SOLUTION

12x + 3 = 72x + 5

I do not understand lins logic

x + 6 = 7x + 10

subtract 6 from both sides

x = 7x + 4

move 7x to the other side

7x = 4

divide 7

x = 0.5

Also wrong because I get how lin got that answer

My way

12x + 3 = 72x + 5

-12 x from both sides

3 = 60x + 5

+5 to other side

8 = 60x

if the x was on the other side it would make sense

but it is not so the Answer is NO SOLUTION

Hope this Helped :)

5 0
3 years ago
What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)?
oee [108]
Y -Y1 = m(x-x1)
D. Y-9 = 2(x+3)
3 0
3 years ago
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