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sineoko [7]
3 years ago
5

Find the slope of the line slope=b=

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0
Slope is 100 because slope is y/x and it’s 50/0.5.
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What is the recursive rule for this geometric sequence? 27,  9,  3,  1,  ... Enter your answers in the boxes.
ANEK [815]

Answer:

a_n=a_{n-1}(\frac{1}{3})\\a_1=27

Step-by-step explanation:

A recursive formula is a formula in which each term is based on the previous term.

In a geometric sequence, each term is found by multiplying the previous term by a constant.

To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3.  This makes the common ratio 1/3.

The recursive formula for a geometric sequence is

a_n=a_{n-1}(r), where a_n represents the general term,  a_{n-1}, represents the previous term, and r represents the common ratio.

Plugging in our values, we have

a_n=a_{n-1}(r)

We also have to indicate what the first term, a₁, is.  In this sequence, it is 21.  This gives us

a_n=a_{n-1}(\frac{1}{3})\\a_1=27

8 0
3 years ago
Read 2 more answers
Charles has $40 and spends 1/4 of it on some shirts. how much does Charles haven left? A. $25 B. $40 C. $30 D. $10
Nutka1998 [239]
1/4 = 4

$40 / 4 = $10

To get the final answer, subtract the original amount with the amount above;

$40 - $10 = $30

Your final answer is $30. Please make this answer the brainiest?
8 0
2 years ago
Please hurry, Find the sum of the first 10 terms in the series:
Mariana [72]

Answer:

44,286

Step-by-step explanation:

The rule is multiplying by -3.

The sequence goes -3, 9, -27, 81, -243, 729, -2187, 6561, -19683, 59049

Add all of those up and you get 44,286

6 0
2 years ago
Read 2 more answers
Find a linear equation whose graph is the straight line with the given property.
jeka57 [31]

Answer:

y = 3/4x - 9/8

Then read explanation and see here with 2 coordinates would make

if 3/4 = -6 then 1 = -8

y = -6x + c

-6 / 3/4  + 9/8 / - 0.5  = -2.25

therefore c = -2.25

y = -6x - 2.25

y = -6x - 9/4  and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4

Step-by-step explanation:

C1)    (0.5 , -0.75)

C2)   ( 1. -3.75)

y = mx + c

-3.75 - - 0.75  /   1 - 0.5  = -3.75 + 0.75 / 0.5

= -3 / 0.5 = m

m = -6

y = -6x + c

then this works given just one coordinate to solve for 1 or 2 sets given points

y - y1 = mx+c

y - - 0.75 =  0.75 (x - x1)

y + 0.75 = 0.75 (x - 0.5)

y + 0.75 = 0.75x - 0.375

y = 0.75 - 0.75   =  0.75x( - 0.375 - 0.75)

y = 0.75x -1.125

y = 3/4x - 9/8    as common denominators of 1125/1000 is 9/8 as we divide by  125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.

5 0
2 years ago
Pringles is planning their sales force spending for the next year. Each of their sales people spends about 3400 hours annually a
LUCKY_DIMON [66]

Answer:

459 sales people.

Step-by-step explanation

Time per call (t) = 45 min = 0.75 h

Hours per sales person (H) = 3,400 hours

Number of customers (n) = 40,000 customers

Call frequency (f)= 52 calls per year

The total number of sales people (S) needed, is given by the total time spent on calls for the year, divided by the amount of hours each person spends on sale:

S=\frac{40,000*0.75*52}{3,400}\\ S=458.8

Rounding up to the next whole person, Pringles needs 459 sales people.

3 0
3 years ago
Read 2 more answers
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