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Elan Coil [88]
2 years ago
12

Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost

and the variable n represents the number of items.

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
7 0

Answer:

c = 1.41n i think lol

Step-by-step explanation:

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Calculate the sum of the multiples of 4 from 0 to 1000
allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d  can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 =   (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

       = (2*0 + (251-1)4)251/2

       = (250*4)251/2

     = 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

3 0
2 years ago
If f(x) = 6 – 5x and g(x) = 4x – 1, evaluate f(x) – g(x) for x = –2.
pogonyaev
Hello :
<span>f(x) = 6 – 5x and g(x) = 4x – 1
f(x)-g(x) = 6-5x-(4x-1) = 6-5x-4x+1 = -9x+7
whene x = - 2
f(x)-g(x) = -9(-2)+7 = 25......(answer : D)</span>
6 0
3 years ago
The midpoint of UV is point W. What are the coordinates of point V?
madreJ [45]

Since you don't provide the coordinates of the point W, I will help you in a general form anyway. In the Figure below is represented the segment that matches this problem. We have two endpoints U and V. So, by using the midpoint formula we may solve this problem:

Midpoint=W=W(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})=W(x_{3}, y_{3}) \\ \\ where:\\ \ U=U(x_{1}, y_{1}) \ and \ V=V(x_{2}, y_{2}) \\ \\ and: \\ x_{3}=\frac{x_{1}+x_{2}}{2} \\ y_{3}=\frac{y_{1}+y_{2}}{2}

Therefore:

x_{2}=2x_{3}-x_{1} \\ y_{2}=2y_{3}-y_{1}

So we know x_{3} \ and \ y_{3} but we also must know x_{1} \ and \ y_{1}

Finally, knowing the points U and W we can find the endpoint V.

7 0
3 years ago
Read 2 more answers
Help answer these two pretty please
4vir4ik [10]

Answer:

none of these triangles are similar

Step-by-step explanation:

for a triangle to be similar, they have to have the same angle measures

4 0
2 years ago
Read 2 more answers
Marco is selling floral arrangements. Each arrangement uses 1 vase and 11 orchids. Each vase costs Marco $4.00. Let C be the tot
Vadim26 [7]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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