Would I use subtraction for this problem ?

The population of the bacteria after 8 hours is 1639 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 500 bacteria, hence

a = 500

The bacteria grow at a rate of 16% per hour, hence:

b = 100% + 16% = 1.16

The exponential equation becomes:

y = 500(1.16)ˣ

After 8 hours:

y = 500(1.16)⁸ = 1639

The population of the bacteria after 8 hours is 1639 bacteria.

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Answer:

1.is a function

2. is a function

3. is a function

4. is not a function

Step-by-step explanation:

Answer:

HH sheikh Zayed road Dubai UAE Tel Aviv university of California Berkeley

the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.

[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope of line segment

[tex] = \frac{4 - ( - 8)}{5 - ( - 7)} [/tex]

[tex] = \frac{4 + 8}{5 + 7} [/tex]

[tex] = \frac{12}{12} [/tex]

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]

Midpoint of line segment

[tex] = ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )[/tex]

[tex] = ( \frac{ - 2}{2} , \frac{ - 4}{2} )[/tex]

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.

Answer:

x+6

x+6

x+6 is the right ans

Answer:20.75 after sale

Step-by-step explanation:

25/100 of 83 is 2075

2075/100 = 20.75

The content of the mixture, which are the colour, developer, and

conditioner, are in a fixed proportion to each other.

Reasons:

The table of the amount of each product used in the mixture are;

[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]

The number of appointment per month = 50

The quantities used per month have a proportional relationship

Quantity used a month are;

Colour = 30 ml × 50 = 1,500 ml

Developer = 60 ml = × 50 = 3,000 ml

Conditioner = 60 ml × 50 = 3,000 ml

Quantity available are;

Colour = 3.5 liters

Developer = 0.5 liters

Conditioner = 2.2 liters

The quantity needed = Quantity used - Quantity available

Therefore;

Quantity needed are;

Colour = 1,500 ml - 3,500 ml = -2,000 ml

Developer = 3,000 ml - 500 ml = 2,500 ml

Conditioner = 3,000  ml = 2,200 ml = 800 ml

Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner

Therefore, she should order;

3,000 ml = 3 liters of developer

1,000 ml = 1 liter of conditioner

Therefore;

Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.

Learn more about proportional relationships here:

https://brainly.com/question/25610267

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Answer:

6543/100

Step-by-step explanation:

Multiply both numerator and denominator by 10 for every number after the decimal point

65.43 × 100

1 × 100

=

6543

100

Answer:

-1 (color bow red)

Step-by-step explanation:

first plug x=7

-12/2(7) - 2

-12/14-2

-12/12

-1

Answer:

1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2

Step-by-step explanation:

If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.

So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.

Answer:

16

Step-by-step explanation:

3×2-2×-5=

6-(-10)=

6+10=

16

Answer:

Range is {3,-1, 15}

Step-by-step explanation:

Answer:

{3, -1, 15} is the range.

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

add all values and divide it by 5

Answer:

Monica is not correct.

Step-by-step explanation:

First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)

[tex]-5x -16 = 8x -1\\\\\implies 8x +5x = -16 +1 \\\\\implies 13x = -15\\\\\implies x = -\dfrac{15}{13}[/tex]

Answer:

should be 3

Step-by-step explanation:

hope you get a good grade

Answer:

C)

Step-by-step explanation:

Because Its equivalent

[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x^2-9}{x^2+2x-3}[/tex]

[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{(x+3)(x-3)}{x^2+3x-x-3}[/tex]

[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{\cancel{(x+3)}(x-3)}{\cancel{(x+3)}(x-1)}[/tex]

[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x-3}{x-1}[/tex]

[tex]\\ \sf{:}\Rrightarrow \dfrac{-3-3}{-3-1}[/tex]

[tex]\\ \sf{:}\Rrightarrow \dfrac{-6}{-4}[/tex]

[tex]\\ \sf{:}\Rrightarrow \dfrac{3}{2}[/tex]

Hope you could understand.

If you have any query, feel free to ask.

Answer:

(2 x^2 z^13)/(z^8 y^5)

Hope This Helps!!!

Answer:

2xz⁵/y⁴

Step-by-step explanation:

16/8 = 2

x²/x = x

y/y⁵ = y⁻⁴

z¹³/z⁸ = z⁵

if you want it a a whole number, it would be for every 34$ 85 bucks for jimmy .

Answer:111.94

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

25% = 25/100 = 25 ÷ 100 = 0.25.

100% = 100/100 = 100 ÷ 100 = 1.

New value =

149.25 - Percentage decrease =

149.25 - (25% × 149.25) =

149.25 - 25% × 149.25 =

(1 - 25%) × 149.25 =

(100% - 25%) × 149.25 =

75% × 149.25 =

75 ÷ 100 × 149.25 =

75 × 149.25 ÷ 100 =

11,193.75 ÷ 100 =

111.9375 ≈

111.94

Answer:

4.87lbs

Step-by-step explanation:

82.16-77.29=4.87

Answer:

Step-by-step explanation:

f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation and x is the raw score.

Given that μ = 6.4, σ = 1.7

For x = 5:

z = (5 - 6.4) / 1.7 = -0.83

For x = 10:

z = (10 - 6.4) / 1.7 = 2.12

a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797

b)  P( x < 5) = P(z < -0.83) = 0.2033

c)  P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

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Answer:

191.8

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

the volume of a pyramid is

base area × height / 3

the base area here is a square.

we know its perimeter : 18.1 ft, which is 4 times the side length.

so, one side of the square is :

18.1/4 = 4.525 ft

the area of the square is side² = 4.525² = 20.475625 ft²

we also know the height of the pyramid, so the volume is :

Vp = 20.475625 × 28.1 / 3 = 191.7883542 ft³

the rounded volume of the pyramid is 191.8 ft³

Answer:

-1/2 is the slope of the graph.

Answer:

-19.2

Step-by-step explanation:

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