In a laboratory experiment, the population of bacteria in a petri dish started off at
2600 and is growing exponentially at 13% per day. Write a function to represent the
population of bacteria after t days, where the hourly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per hour, to the nearest
hundredth of a percent.

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

Answer:

THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)

2IW= 200

I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30

-W TO IW=200

(30-W)W=200

W2 + 30W=200---------------TRANSPOSE -w2

+30w

w2-30w +200 = 0------------------- USE FACTORING

(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO

W- 20=0 W-10 =0

W=20 W=10

THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I

Iw =200 Iw=200

I(20) =200 I(10)

I(20)/20= 200/20 I(10)/10

=200/10

I=10

10

Step-by-step explanation:

x + 5 = 2x - 5

x + 5 - x = 2x - 5 - x

5 = x - 5

5 + 5 = x

10 = x

Answer:

The value of X is 10

Step-by-step explanation:

X+5=2x-5(corresponding sides of an angle)

5+5=2x-x

10=x

So,x=10

Answer: -2 + 4i

Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.

If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.

If ZP is 120, then ZM and ZP will not add up to 90.

There are multiple contradicting statements within this problem, as noted above.

Hope this helps!

Options A and B are two contradict statements.

The four statement are given, we need to find the two contradict statements.

The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.

Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements

Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.

Therefore, options A and B are two contradict statements.

Learn more about an obtuse angle here:

https://brainly.com/question/4022946.

#SPJ2

Answer:

m∠ ACB = 60°

Step-by-step explanation:

If AB║CD  if m∠

Answer:

Step-by-step explanation:

[(-2)²×3]÷[(-9)-5+2]

=(4*3)/[(-9)-5+2]

=12/(-12)

=-1

Answer:

hi hi hi hi hi hi hi hi hi hi hi hi hi

Answer:

refer to the attachment

Step-by-step explanation:

hope that helps

Answer: 13x because you can combine them together because they both have the same variable.

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(g(4) - g(-5)) / (4 - -5)

g(4) = 4² + 5×4 + 1 = 37

g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1

4 - -5 = 4 + 5 = 9

(37 - 1)/9 = 36/9 = 4

the average change rate in that interval is 4 (or fully 4/1).

I beileve the anwser is A

Answer:

Step-by-step explanation:

Answer:

done.

Step-by-step explanation:

yeah-ya..... right?

Answer:2

Step-by-step explanation:

Answer: Answer in Photo

Answer:

24

Step-by-step explanation:

1/2(24) = 12

and/or

24/2 = 12

Is this what you wanted?

If 8% of a number equals 30, 40% of that number 150.

The percentage of a given number is the fraction of that number divided by 100.

Let assume that the unknown number is (a).

i.e.

Making (a) the subject of the formula now;

Now, we are meant to determine the 40% of that unknown number (a)

Since (a) has been determined to be 375.

Then, 40% of 375 is calculated as:

Learn more about percentage here:

https://brainly.com/question/2155156?referrer=searchResults

Answer:

-0.09

Step-by-step explanation:

Answer:

No

Brady is 5 cents short

Step-by-step explanation:

.75x3=$2.25

.40x2=0.80

$2.25+0.80=$3.05

Answer:

No

Step-by-step explanation:

3 brownies = $.75 * 3 = $2.25

2 cookies = $.40 * 2 = $.80

$2.25 + $.80 = $3.05, which is over $3

He is 5 cents short.

Hope this helped!

(and taxes of course)

Answer:

x=5

Step-by-step explanation:

3(x-2)=9

3x-6=9

3x=9+6

=15

x=15÷3

=5

Answer:

Answer:

False

Step-by-step explanation:

If x * 2 = x, and you use 1 as the insert for x, then you would be saying that 1 * 2 = 1, and that is incorrect.

Answer:

I assume the value is x² right from the qn.

With that

x² = x

if x = 1

then

1² = 1

hence the value is true.

Answer: (n^6 j^6)/(8h^5)

Step-by-step explanation:

Therefore:  n^6*j^6/8h^5

Answer:

Step-by-step explanation:

m = (y2 - y1)/(x2-x1)

m = (6-2)/(0-8)

m = 4/-8

m = -1/2

y = mx + b

(2) = (-1/2)(8) + b

2 = -4 + b

b = 6

equation of the line is:

y = (-1/2)x + 6

Answer:

5

Step-by-step explanation:

Answer:D-5

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the logarithm.

Given That:

[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

We know that:

[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]

[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]

Therefore, we get:

[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]

[tex] \rm = \log( {b}^{3})[/tex]

As we know that:

[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]

Therefore, we get:

[tex] \rm = 3\log(b)[/tex]

Answer:

Step-by-step explanation:

gg