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Vesna [10]
3 years ago
10

Jenelle has a piece of wire that is 0.30 feet long. She needs 2.5 times that length to hang a painting. What length of wire does

she need
Mathematics
1 answer:
suter [353]3 years ago
6 0

Answer:

She needs 0,75 ft of wire

Step-by-step explanation:

Hello

She needs (0.30 ft)*(2.5) = 0,75

Best regards

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Exponential growth/decay problem 2
lapo4ka [179]

Answer:

a) decay

b) 2,950,000

c) 0.025

d) f(x)=2950000(0.975)^x

e) 2,409,123

Step-by-step explanation:

<u>Part (a)</u>

Exponential DECAY, since the population was decreasing annually.

<u>Part (b)</u>

Initial amount = 2,950,000 people (in the year 2000)

<u>Part (c)</u>

Decay factor = 2.5% = 0.025 (in decimal form)

<u>Part (d)</u>

General form of exponential decay function:

f(x)=a(1-r)^x

where:

  • a = initial amount
  • r = rate of decay (in decimal form)
  • x = time (in years)

Given:

  • a = 2950000
  • r = 0.025

\implies f(x)=2950000(1-0.025)^x

\implies f(x)=2950000(0.975)^x

<u>Part (e)</u>

To determine the city's population in 2008:

x = 2008 - 2000 = 8

\begin{aligned}\implies f(8) & =2950000(0.975)^8\\ & = 2409123\: \sf(nearest\:whole\:number)\end{aligned}

7 0
2 years ago
Which of the following represents the sum of the series below 4+7
yKpoI14uk [10]
4+7 equals 11 hope this helps !!!
4 0
3 years ago
Read 2 more answers
A vase contains 7 red flowers, 3 white flowers, and 5 yellow flowers. If George selects a flower from the vase for his wife, wha
gtnhenbr [62]

Answer:

The answer to your question is: P(A) = 0.47

Step-by-step explanation:

Data

7 red flowers

3 white flowers

5 yellow flowers

Probability  that he select a red one

Formula

 P(A) = Number of favorable cases of A / total number of outcomes

Number of favorable cases = 7

Total number of outcomes = 7 + 3 + 5 = 15

Substitution

                      P(A) = 7 / 15

                      P(A) = 0.47

4 0
4 years ago
what is the slope of the picture (if this is super easy, the reason I asked this question is that my brain is working horrible t
Sedaia [141]

Answer:3/2 or 1.5

Step-by-step explanation:

(9-6)/(3-1)=

3/2

7 0
3 years ago
Plz help! It’s not hard I just don’t properly understand
jonny [76]

Answer:

a_{13}=2(13)+13=39

39 is the 13th term

Step-by-step explanation:

Okay so essentially the a_n is just a substitute for x.

See how in the equation they put n into the x spot:

y=mx+b\\a_n=mn+b\\a_n=2n+13

They changed the variable names:

y=a_n\\m=2\\n=x\\b=13

Now we know what the n actually means, plus when they ask about the terms youre trying to find it's based off of that n:

When they say, 13 term, they mean a_{13} which would be the 13th answer in the series.  So the first term would be based off of a_1

a_1=2(1)+13\\a_1=15

So whatever number is in the n position by a is what you'll be plugging into the x spot.

y=mx+b\\a_n=2n+13\\a_1=2(1)+13=15\\a_2=2(2)+13=17\\a_3=2(3)+13=19\\a_4=2(4)+13=21\\a_5=2(5) +13=23\\a_6=2(6)+13=25\\a_7=2(7)+13=27\\a_8=2(8) +13=29\\a_9=2(9)+13=31\\a_{10}=2(10)+13=33\\a_{11}=2(11)+13=35\\a_{12}=2(12)+13=37\\a_{13}=2(13)+13=39

These are all the answers leading up to the 13th term they asked for, and you can continue thus same equation with whatever number you can put into the n space.

7 0
2 years ago
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