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Ilia_Sergeevich [38]
3 years ago
7

If a nonzero number, does the value of a^0 depend on the value of a? Explain

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0
Not at all
one of the index rules states that anything to the power of zero equals 1
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There were 78 girls trying out for dance. They were placed into groups containing d dancers. How many groups were there, in term
Lera25 [3.4K]

Step-by-step explanation:

The hole never disappears; at the end of the story, the first things that went into the hole come out of the sky and back into the city. There's no sign that the hole is gone

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3 years ago
The nth term of a sequence is 60-8n. Find the largest number in this sequence.
natka813 [3]

Answer:

52

Step-by-step explanation:

1st term is =60-8=52

a2=60-16=44

a3=60-24=36

a4=60-32=28

a5=60-40=20

a6=60-48=12

....

sI the terms are 52,44,36,28, 20,12,4,-4,-12....

so the largest term is 52

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2 years ago
Colin invests £14100 into his bank account. He receives 9.0% per year simple interest. How much will Colin have after 5 years? G
Ivahew [28]

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6350

Step-by-step explanation:

5 0
3 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
Please help on this khan problem i can't word it right so there is attachments for the introductions and options for answers
Gwar [14]

Answer:

c

Step-by-step explanation:

because it is a outlier we can assume these 2 things:

it influences the mean and median, with the mean being effected more

because we know this, we can now solve the problem

both the median and mean decreased, but the mean decreased more than the median

7 0
2 years ago
Read 2 more answers
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