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belka [17]
2 years ago
8

While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Re

member that a negative value indicates slowing down or deceleration)
Mathematics
1 answer:
Andrei [34K]2 years ago
5 0

We are given that:

vi, initial velocity = 24 m/s

v, final velocity = 15 m/s

t, time = 12 s

 

The formula for acceleration is:

a = (v – vi) / t

a = (15 – 24) / 12

<span>a = - 0.75 m/s^2                                (deceleration)</span>

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If k, m, and n are all prime numbers, list all factors of k∙m∙n.
kompoz [17]

Answer:

Factors of kmn are 1, k, m, n, km, mn, kn and kmn

Step-by-step explanation:

Given: k, m, and n are prime numbers

To find: factors of k∙m∙n

Solution:

A number is said to be prime if it has exactly two factors: 1 and the number itself

x is said to be a factor of y if x can divide y exactly.

Here,

1 can divide kmn

k can divide kmn

m can divide kmn

n can divide kmn

km can divide kmn

kn can divide kmn

mn can divide kmn

kmn can divide kmn

So, factors of kmn are 1, k, m, n, km, mn, kn and kmn

7 0
2 years ago
Lillian works 7hours each day for 5 days a week she earn £420 each week how much does she earn per hour
frosja888 [35]

Answer:

£12 per hour

Step-by-step explanation:

7 × 5 = 35 hours

35 h : 420

1 h : x

x = 420×1 / 35

= £12 per hour

8 0
3 years ago
What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Arisa [49]

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

y = m\cdot x + b (Eq. 1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that (x_{1},y_{1}) = (0,3) and (x_{2},y_{2})=(5,-3), the following system of linear equations is constructed:

b = 3 (Eq. 2)

5\cdot m + b = -3 (Eq. 3)

The solution of the system is: b = 3, m = -\frac{6}{5}. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

5 0
3 years ago
Translate and solve: 94% of what number is 611?
irga5000 [103]

Answer:

574.34

Step-by-step explanation:

6 0
3 years ago
How to solve<img src="https://tex.z-dn.net/?f=y%3D20%20%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7Bx" id="TexFormula1" title="y=20 (\frac{1
Anastaziya [24]

Answer:

l

Step-by-step explanation:

7 0
2 years ago
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