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Serjik [45]
3 years ago
13

Fred started studying how the number of branches on his tree grows over time. The relationship between the labs time t in years

since Fred started studying the tree in the number of its branches B year(t), is modeled by the following function:
Byear(t)=20•(2.5)^t

Complete the following sentence about the monthly rate of change in the number of branches. Round your answer to two decimal places.

Every month the number of branches increases by a factor of ________.

Mathematics
2 answers:
Montano1993 [528]3 years ago
8 0

Answer:

1.08

Step-by-step explanation:

Lena [83]3 years ago
3 0

Answer:

Step-by-step explanation:

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Find the conjugate and product of the following surds<br><br><br>2i + 9
scZoUnD [109]

Answer:

The conjugate of 2i + 9 = -2i + 9

Product of (2i+9) and (2i+9)  is 36i + 77

Step-by-step explanation:

Given - 2i + 9

To find - Find the conjugate and product of the following surds

Proof -

We know that,

The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.

To find a complex conjugate, simply change the sign of the imaginary part (the part with the i ).

So,

The conjugate of 2i + 9 = -2i + 9

Now,

Product of surd (2i+9) is

(2i+9)(2i+9) = 2i(2i) + 2i(9) + 9(2i) + 9(9)

                  = 4i² + 18i + 18i + 81

                  = -4 + 36i + 81          { because i² = -1 }

                  = 77 + 36i

⇒Product of (2i+9) and (2i+9)  is 36i + 77

6 0
3 years ago
Solve the word problem. Tom plans to mow a lawn today to earn some extra money. He estimates that he will spend $1.80 on fuel an
Natasha2012 [34]
B. $6.25 because you have to add the money he spent and subtract it from the money he charges for the lawn. :3
3 0
3 years ago
Read 2 more answers
HELLO! 20 PT ANSWER &amp; BRAINLIEST!
beks73 [17]

Answer:

745 books are expected to be donated to the library at the end of Month 10

Step-by-step explanation:

There were 80 books donated at the library:

No=80

The number of books donated to a library is increasing by 25% each month:

There were 100 books donatd at the end of Month 1:

N1=100

N1=No+25%No

N1=No+(25/100)No

N1=No+0.25 No

N1=(1+0.25) No

N1=(1.25) No

(1) N1=(1.25)^1 No

N1=(1.25)^1 80

N1=(1.25) 80

N1=100


N2=N1+25%N1

N2=N1+(25/100)N1

N2=N1+0.25 N1

N2=(1+0.25) N1

N2=(1.25) N1

Replacing equation (1) in the equation above:

N2=(1.25) (1.25)^1 No

N2=(1.25)^(1+1) No

(2) N2=(1.25)^2 No


N3=N2+25%N2

N3=N2+(25/100)N2

N3=N2+0.25 N2

N3=(1+0.25) N2

N3=(1.25) N2

Replacing equation (2) in the equation above:

N3=(1.25) (1.25)^2 No

N3=(1.25)^(1+2) No

(3) N3=(1.25)^3 No


In general:

Nt=N(t)=(1.25)^t No

N(t)=(1.25)^t (80)

N(t)=80 (1.25)^t

where t is the number of the month

How many books are expected to be donated to the library at the end of Month 10?

t=10

N(10)=80 (1.25)^10

N(10)=80 (9.313225746)

N(10)=745.0580596

Rounding to the nearest whole number:

N(10)=745


8 0
3 years ago
Read 2 more answers
At camp, ¼ of the children are divided into 3 equal groups for crafts. What fraction of the children at camp are in EACH group?
zloy xaker [14]

Answer:

3/4?

Step-by-step explanation:

maybe not but i think this is it

7 0
4 years ago
Read 2 more answers
What is the median?<br> –63–63–70–71–71–91–74–71
Otrada [13]

Answer: The median of the date you gave would be -71. Hope that helps!

8 0
3 years ago
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