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antoniya [11.8K]

3 years ago

15

the number of bacteria in a sample after x days is represented using the equation

%281.05%29%5E%7B-x%7D%20" id="TexFormula1" title="b=50,000(1.05)^{-x} " alt="b=50,000(1.05)^{-x} " align="absmiddle" class="latex-formula">. by what approximate percent does the population change per day?a.4.8% decreaseb.5.0% increasec.95.2% decreased.105.0% increase

1 answer:

KATRIN_1 [288]3 years ago

3 0

Initial, x = 0, b = 50000

day 1, x = 1, b = 50000 (1.05)^-1

day 2, x = 2, b = 50000 (1.05) =^-2

day 2 / day 1 = 1.05^-2 / 1.05^-1 = 1.05^-1 = 0.952

Which means that the number of bacteria decreased 4.8%

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A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude

I am Lyosha [343]

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

<h3>Solution:</h3>

We are given three sides of a triangle, Let the sides be :

( a ) = 35 cm

( b ) = 54 cm

( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

<u>Heron's </u><u>Formula</u>

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

$\sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}$

where ( s ) :

$\sf \longrightarrow s = \dfrac{a + b + c}{2}$

Therefore, for the given triangle first we will calculate ( s )

$\begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}$

Now, Area of triangle will be:

$\begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}$

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

$\begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}$

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Answer:

2 - 3i

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2 -√-9

2 + √9

2 + 3 = 5

<em><u>Thank you (I dont know if these answers are 100% correct but I tried my best!)</u></em>

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IgorLugansk [536]

Answer:

The answer to your question is:

Step-by-step explanation:

x² + 3x - 5

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x 1 = -3/2 + √29/2 x2 = -3/2 - √29/2

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Sergeu [11.5K]

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Answer:

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1. We have to get the sum as follows :

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= $\frac{31 + 42}{9}$

= $\frac{73}{9}$

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So, this is false.

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= $\frac{29 + 9}{6}$

= $\frac{38}{6}$

= $6\frac{2}{6}$

So, this is true.

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So, this is false.

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