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Daniel [21]
2 years ago
7

Jack is in hospital and his temperature is recorded every hour one morning. Time Temperature 06:00 40.0 07:00 40.0 08:00 39.5 09

:00 39.0 10:00 38.5 11:00 38.0 12:00 38.0 Which is the best type of chart to use to represent this information? scatter diagram, pictogram, pie chart, line graph, tally chart, bar chart?
Mathematics
2 answers:
White raven [17]2 years ago
6 0
Line graph, it is about a chance during a period of time.
lbvjy [14]2 years ago
6 0

Here we are given two types of data : Time and Temperature.

We can plot one of these on x axis and the other on y axis.

So we can use a line graph here.


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What is the completely factored form of p4 - 16?
il63 [147K]

The completely factored form of p^4-16 is:

(p^2+4)(p+2)(p-2)

Step-by-step explanation:

We have to factorize the given expression to get the final result

Given

p^4-16\\Using\ Formula: a^2-b^2=(a+b)(a-b)\\(p^2)^2-(4)^2\\=(p^2+4)(p^2-4)

p^2-4 can further be factored again

=(p^2+4)[(p)^2-(2)^2]\\=(p^2+4)(p+2)(p-2)

The completely factored form of p^4-16 is:

(p^2+4)(p+2)(p-2)

Keywords: Factorization

Learn more about factorization at:

  • brainly.com/question/9323337
  • brainly.com/question/9381080

#LearnwithBrainly

8 0
2 years ago
6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the
MaRussiya [10]

Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

a_1 the horizontal distance between the first observer and the ballonist

a_2 the horizontal distance between the second observer and the ballonist

\alpha _1 and \alpha _2 the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

S=a*h (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

S=S_1+S_2 (equation 2)

S_1=a_1*h

But we can write S_1 in terms of \alpha _1, like this:

\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}

And for S_2 will be the same:

S_2=\frac{h^{2} }{\tan(\alpha _2)}

Replacing in the equation 2:

S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})

And replacing in the equation 1:

h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}

So, we can replace all the known data in the last equation:

h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

6 0
2 years ago
A runner increases his velocity from 0 m/s to 20 m/s in 2.0s. What was his average acceleration?
xenn [34]

change in velocity = 20 - 0 = 20

change in time = 2 seconds

Divide the change in velocity over the change in time: 20/2 = 10

The average acceleration is 10 m/s^2

I.e, each second, the speed increases by 10 m/s

7 0
2 years ago
A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete
d1i1m1o1n [39]

Answer:

336π square millimeterz

3 0
2 years ago
Read 2 more answers
To determine the density of grains, a student uses a 50ml beaker graded by 5ml increments and a scale with 1g absolute uncertain
labwork [276]

Answer:

The mass of the grains = 120 ± 1 g

Step-by-step explanation:

we are given the following:

Total mass of container + grains = 185 grams

Mass of container = 65 grams

Therefore, mass of grains is calculated as follows:

Mass of grains = ( Mass of container + grains) - mass of container

= 185 - 65 = 120 grams.

since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g

8 0
2 years ago
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