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krek1111 [17]
3 years ago
13

Which choice is the common difference between the terms of this arithmetic sequence?4x + 7y, 8x + 2y, 12x + -3y, 16x - 8y, 20x -

13y, ...
A.4x - 5y
B.-5x - 4y
C.4x + 5y
D.5x + 4y
E.5x - 4y
Mathematics
1 answer:
matrenka [14]3 years ago
5 0
A1=4x+7y
a2=8x+2y
a3=12x-3y
a4=16x-8y
a5=20x-13y

a2-a1=(8x+2y)-(4x+7y)=8x+2y-4x-7y→a2-a1=4x-5y
a3-a2=(12x-3y)-(8x+2y)=12x-3y-8x-2y→a3-a2=4x-5y
a4-a3=(16x-8y)-(12x-3y)=16x-8y-12x+3y→a4-a3=4x-5y
a5-a4=(20x-13y)-(16x-8y)=20x-13y-16x+8y→a5-a4=4x-5y

<span>The common difference between the terms of the arithmetic sequence is 4x-5y

Answer: Option A. 4x-5y</span>
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The fox population in a certain region has a relative growth rate of 4% per year. It is estimated that the population in year 20
den301095 [7]

Answer:

a) P(t) = 17900e^{0.04t}

b) The population estimated in 2008 is of 24651.

Step-by-step explanation:

The population growth model may be given by the following exponential function:

P(t) = P_{0}e^{rt}

In which P(t) is the population after t years, P_{0} is the initial population and r is the growth rate.

(A.) Find a function that models the population t years after 2000 (t=0 for 2000)

We have that:

P_{0} = 17900, r = 0.04. So

P(t) = P_{0}e^{rt}

P(t) = 17900e^{0.04t}

(B.) Use the function from part A to estimate the fox population in the year 2008.

2008 is 8 years after 2000. So:

P(8) = 17900e^{0.04*8} = 24650.5

The population estimated in 2008 is of 24651.

3 0
3 years ago
Solve 3(2x-3)-4(2x+1)&lt;=-26
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Step-by-step explanation:

3(2x - 3) - 4(2x + 1) <= 26

-2x - 13 <= 26

2x <= -39

x <= -19.5.

8 0
3 years ago
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Could someone help me on this math question please!! I don't remember what to do for things like these!
Bas_tet [7]
The answer to your question is C. 4

7 0
3 years ago
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Please help me solve
ruslelena [56]

Answer:

Step-by-step explanation:

So for this we have to find the percentage by using 'percentage of error'

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The size went up by 21%

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3 years ago
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Abraham is installing carpet in his bedroom. On the blueprints, Abraham's bedroom is 6 inches wide and 10 inches long. If the sc
erma4kov [3.2K]

Answer:

240 square feet

Step-by-step explanation:

Hello, I can help you with this

Step one

find the real scale

According to the data

scale is 1 in : 2 ft

also remember  1ft=12 inches

so

scale is 1in: 2(12 inches)

scale is 1 in :24 in

the purpose of use inches a unit in both sides is to eliminate the, the scale must be adimensional

so escales is

1:24  , this means, that a measure on the blueprint must be multiplied by 24 to know its real value

Step 2

with the escale find the real dimensions, you can use a rule of three

Abraham's bedroom is 6 inches wide

blueprint ⇔ bedroom

1 in ⇔ 24 in

6 in ⇔x

x=(6*24)/1

x=144 inches=12 ft

 Abraham's bedroom is  10 inches long

1 in ⇔ 24 in

10 in ⇔y

y=(10*24)/1

x=240 inches=20 ft

Step  3

find the area

the area is wide *long

area=x*y

area=12ft*20ft

area=240 square feet.

Have a good day

5 0
3 years ago
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