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bezimeni [28]
4 years ago
5

Given the information in the diagram and the table how long is the wire that supports the tower

Mathematics
1 answer:
Alexxx [7]4 years ago
8 0

Check the picture below.

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The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length
ad-work [718]

Answer:

The explicit formula for Arithmetic Sequence is a_n=7.02+0.33n

Step-by-step explanation:

Given: Foot length & shoe size in AP.

           a_n is foot length and n is shoe size.i.e., a_{12}=11\:and\:a_7=9.33

To find: Formula for Arithmetic sequence .i.e., a_n

From question,

a_{12}-a_7=11-9.33=1.67

Also, we know that

a_{12}=a_7+5d\\5d=a_{12}-a_7\\5d=1.67\\d=\frac{1.67}{5}\\\\d=0.33        

Now, consider

a_7=a_1+6d\\a_7=a+6d\\a=a_7-6d\\a=9.33-6\times0.33\\a=9.33-1.98\\a=7.35

Thus using formula of a_n we get,

a_n=a+(n-1)d\\a_n=7.35+(n-1)\times0.33\\a_n=7.35+0.33n-0.33\\a_n=7.02+0.33n

Therefore, The explicit formula for Arithmetic Sequence is a_n=7.02+0.33n

 

4 0
3 years ago
Read 2 more answers
The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?
Scilla [17]

Answer:

g(x)=2(x+3)^2+9, which corresponds to answer D.

Step-by-step explanation:

Recall that the maximum or minimum of a parabola is always located at its vertex. Notice that all quadratic functions listed are given in what is called "vertex" form, since they explicitly show the vertex coordinates in their formulation:

f(x)=a(x-x_v)^2+y_v where x_v, and  y_v stand for the x and y coordinates respectively of the vertex.

Examining all four options, we notice that in all four cases listed, the y_v is correct (equal to positive 9), so we proceed to examine what the (x-x_v)^2 expression should look like for  x_v=-3:

Notice that when replace  x_v with "-3", we end up with a sign change:

(x-x_v)^2\\(x-(-3))^2=(x+3)^2

Therefore we find that the last two options can be candidates. Then we recall that the question also states that this should be a minimum. Then, for a parabola to have a minimum, its branches must go upwards, and this corresponds to a case in which the factor a (leading coefficient) multiplying (x-x_v)^2 is positive. So in looking for such condition, we find that the very last option is the only one that verifies such.

Then, g(x)=2(x+3)^2+9 is the option we select.

4 0
4 years ago
The initial number of views for a certain website was 15.
AURORKA [14]
Basically what is happening is:
You start out with 15. That 1st week you have 22% more than 15, or in other words 15*1.22. The following week you have 22% more than 22% more of 15, which is 15*1.22*1.22.

Now we can write a function that models this situation:
f(n): number of views
n: number of weeks since you started

f(n) = 15(1.22^n)

We want to find out how many views there are after four weeks, so plug 4 in for n.

f(4) = 15(1.22^4)
f(4) = 33.23

This means after 4 weeks you can expect the video to have 33 views.
4 0
3 years ago
Read 2 more answers
Please answer this its for 50 whole points
svlad2 [7]

Answer:

its c

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. The number a is 4/5 of the number b. What part of number a is number b?
alexdok [17]
Writing some equations out might help!

1) You know that a is 4/5 of b. This can be written as:a =  \frac{4}{5} b.
To find what b is equal to, multiply both sides by 5/4: \frac{5}{4}a = b.
A is 5/4 B. 

2) You know that a is 1/5 smaller than b. This can be written as: a = b - \frac{1}{5}.
To find b, just add 1/5 to both sides: a +  \frac{1}{5} = b.
B is 1/5 bigger than a. 
7 0
3 years ago
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