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Mice21 [21]
3 years ago
6

Use the distributive property to expand the following expression.

Mathematics
1 answer:
natita [175]3 years ago
5 0
-4.2-6y+3.6
Sorry for my writing

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Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const
Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
3 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
dusya [7]

Answer:

Step-by-step explanation:

Remark

All you need do is find the radius and put it into the formula V = (4/3) pi r^3.

Givens

d = 12 yards

r = d/2

Solution

r = 12 yds/2 = 6 yds

V = 4/3 pi r^3

V = 4/3 * 3.14 * 6*6*6

V = 904.32

Answer 904.4 yd^3

8 0
2 years ago
Can someone help me with this please it would be a big help
Anuta_ua [19.1K]
Answer in order

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answer
A. -4.6 - (0.4 + 7.2)

----------------
answer
B. -10 + (-90) + (-40)

--------
answer

associate property of addition

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answer
Commutative <span>Property
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answer
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7 0
3 years ago
A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after th
Citrus2011 [14]

Answer:

Value of k is \displaystyle\frac{3}{8}      

Step-by-step explanation:

We are given the following information in the question:

f(x) = kx^2, 0\leq x \leq 2\\~~~~~~~= 0, \text{ otherwise}

where x is the time elapses between the end of the hour and the end of the lecture.

We have to find the values of k.

Since, f(x) is the pdf, then,

\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}

Hence, value of k is \displaystyle\frac{3}{8}

4 0
3 years ago
What type of graph would you use for a set of categorical data with 25 people surveyed?bar graphline graphpictographstem-and-lea
Inga [223]

The type of graph I would use for a set of categorical data with 25 people surveyed is bar graph.

<h3>Which types of graphs are good for categorical data?</h3>

The type of graph or chart that is good for showing  categorical data are:

  • Frequency tables
  • Pie charts
  • Bar charts

Note that bar graph is one of the  the most appropriate graphical form of displays for any categorical variables.

Learn more about bar graph from

brainly.com/question/24741444

6 0
2 years ago
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