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TEA [102]
3 years ago
8

The growth model for a population of bacteria is given as P(t) = 35e2t where t is measured in days. How many days will it take u

ntil the number of bacteria has exceeded 17,500
Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that the growth model for a population of bacteria is given as where t

P(t) = 35e^{2t}

is measured in days.

We have to find the number of days it would take to reach a number >17500

i.e. when P exceed 17500

35e^{2t}>17500\\log 35+2t>log 17500\\2t >6.2146\\t>3.1073

After 3.1 days the bacteria would exceed 17500

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valina [46]
248 / 31 = 217 times
5 0
3 years ago
The base of a solid right pyramid is a square with an
zhuklara [117]

Answer:

Volume = ⅓n²(n-1) or ⅓(n³ - n²)

Step-by-step explanation:

Given

Solid Shape: Right pyramid

Edge= n units

Height= n - 1 units

Required

Volume of the pyramid

The volume of a right pyramid is

Volume = ⅓Ah

Where A represents the area of the base

h represent the height of the pyramid

Since it has a square base;

The area is calculated as follows

Area, A = edge * edge

A = n * n

A = n²

Recall that

Volume = ⅓Ah

Substitute n² for A and n - 1 for h

The expression becomes

Volume = ⅓ * n² * (n - 1)

Volume = ⅓n²(n-1)

The expression can be solved further by opening the bracket

Volume = ⅓(n³ - n²)

6 0
3 years ago
The sum of the page numbers on the facing pages of a book is 73. What are the page​ numbers?
Sholpan [36]

Answer:

The page numbers are 36 and 37.

Step-by-step explanation:

n + (n + 1) = 73

2n + 1 = 73

n = (73 - 1)/2

= 72/2 = 36

3 0
3 years ago
Show that if S1 and S2 are subsets of a vector space V such that S1 c S2 then span(S1) c span(S2). In particular, if S1 c S2 the
klemol [59]

Answer:

See proof below

Step-by-step explanation:

Assume that V is a vector space over the field F (take F=R,C if you prefer).

Let x\in span(S_1). Then, we can write x as a linear combination of elements of s1, that is, there exist v_1,v_2,\cdots,v_k \in S_1 and a_1,a_2,\cdots,a_k\in F such that x=a_1v_1+a_2v_2+\cdots+a_kv_k. Now, S_1\subseteq S_2 then for all y\in S_1 we have that y\in S_2. In particular, taking y=v_j with j=1,2,\cdots,k we have that v_j\in S_2. Then, x is a linear combination of vectors in S2, therefore x\in span(S_2). We conclude that span(S_1)\subseteq span(S_2).

If, additionally  S_2\subseteq S_1 then reversing the roles of S1 and S2 in the previous proof, span(S_2)\subseteq span(S_1). Then span(S_1)\subseteq span(S_2)\subseteq span(S_1), therefore span(S_1)=span(S_2).

5 0
3 years ago
Help me please!!!!!!!!!!!!!!!!
AVprozaik [17]

Answer: idk but i will look

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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