a population of bacteria is increasing at a rate of 7.5% per hour. if there were originally 275 bacteria, which of the following eguations models the population of bacteria h-hours after the original 275 bacteria were measured?

I think the answers here:-

dp201111.pdf

Answer:

≈ 31.7 yd

Step-by-step explanation:

let the missing side be x , then using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 33²

x² + 81 = 1089 ( subtract 81 from both sides )

x² = 1008 ( take square root of both sides )

x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )

Step-by-step explanation:

a general line equation is

y = ax + b

the slope of a line is always the factor of x (a).

it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here it is -5/4.

it says, when x changes by +4, then y changes by -5.

a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.

and we get it by using the point coordinates in the equation and then solve for b :

1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b

b = -4

so, the full equation of the parallel line is

y = -5/4x - 4

Answer:

median is 40.5

Step-by-step explanation:

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

half way between numbers in numerical order

lands between 40 and 41

40.5

Answer:

41

Step-by-step explanation:

1. First you have to put the numbers in order from least to greatest:

22 36 39 39 40 40 41 42 45 46 46 49

2. Then cross out each number until you find the one that in the middle

For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea

Answer:

-13

Step-by-step explanation:

Answer:

-22 F

Step-by-step explanation:

basically since iy drops 3 degrees for 4 hours multiply -3 times 4 to get -12. Once you get that add to the original temperature to get your answer :) hope this helped be sure to mark me brainliest and rate :)

Answer:

(y-d) × a + c

Step-by-step explanation:

You start with y:

y

subtract d:

y-d

multiply by a:

(y-d) × a

then add c:

(y-d) × a + c

Hope that helps! :)

Answer:

1

Step-by-step explanation:

2 divided by 2

Answer:

1 table

Step-by-step explanation:

2 x 0.5 = 1

Hope this helps!

Answer: distance 1min = 10in

In 1 minute the snail travels 10 inches  

In 2 minute the snail travels 20 inches

In 3 minute the snail travels 30 inches

In 4 minute the snail travels 40 inches

In 5 minute the snail travels 50 inches

y=10x

Answer:

0.25

Step-by-step explanation:

Answer:

→1/4 as a decimal is 0.25

(I hope you get this answer correct, and also hope you have a great day or night! :)).

(1,5) and (3,9)

[tex]y = 2x + 3[/tex]

(5,8) and (3,2)

[tex]y = 3x - 7[/tex]

(1,-5) and (0,3)

[tex]y = - 8x + 3[/tex]

Hope this will help:)

the answer is 2/6, but you can reduce it by 1/2 which is 1/3

Answer:

B) 1/4 x 88

Step-by-step explanation:

25%=25/100=1/4

25% of 88, of is basically multiplication

=1/4 x 88

Answer:

[tex]y= -3x+9[/tex]

Step-by-step explanation:

We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is

[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.

At this point, it's just a matter of writing the equation in the wanted form:

[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]

Which is the equation you want.

If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]

Answer:

B : y = 0.1x + 5

Step-by-step explanation:

using the y = mx + b equation

b is the intercept on the y axis ( x = 0)

m is the slope of the line.

From the graph we can see that the intercept is (0,5), therefore b = 5;

To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)

m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1

m = 0.1

therefore in y = mx + b

y = 0.1x + 5

Answer:

Step-by-step explanation:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

S.A=(help me)

Answer:

Vector PQ = 48 deg

Vector QP = -PQ =  48 + 180 = 228 deg

Note that 228 is 48 deg below the -x (180) axis

Answer:

15 dollars and 40 cents

Step-by-step explanation:

you add the shirt cost to the skirt cost to 3 times the sock cost

After that, you multiply that by 1.07 for the sales tax

then you take 75(her money) and subtract it from your previous answer to get how much she has left

Answer:

-11.5

Step-by-step explanation:

28+ 79r  r= -1/2

28+ 79(-1/2) =

28 + -39.5 -11.5

The time taken by auntie Annie to rake is 25 minutes.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.

Let the time taken by auntie Anne to rake be ab minutes.

Now, according to the given question.

Auntie Anne situation is represented by an inequality

10 < ab <40

Since, it is given that sum of the digits of time taken by Anne to rake is 7.

⇒ a + b = 7

Also, ab is a multiple of 5.

Now,

When, a = 4 and b = 3 (or vice-versa)

4 + 3 = 7 but 43 is not a multiple of five.

When, a = 6 and b = 1 ( or vice versa)

6 + 1 = 7, but 61 is not a multiple of five.

When, a = 2 and b = 5 (or vice versa)

2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.

Also, 25 is less than 40 and greater than 10.

Therefore, the time taken by auntie Annie to rake is 25 minutes.

Find out more information about inequality here:

https://brainly.com/question/20383699

#SPJ2

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The required expression is ~

I hope it helps ~

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

=================================================

[tex] \rightarrow [/tex]Formula: Amount = P x (1 + R x T)

[tex] \rightarrow [/tex] = 1,400 x (1 + 3.4% x 4)

[tex] \rightarrow [/tex] = 1, 400 x (1 + 0.034 x 4)

[tex] \rightarrow [/tex] = 1,400 x (1 + 0.136)

[tex] \rightarrow [/tex] = 1,400 x 1.136

[tex] \rightarrow [/tex] = 1,590.4

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-1}{0-(-4)}[/tex] = [tex]\frac{1}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

a)it is a 45 degree angle

b) Enzo saves 8 minutes if he takes the shortcut

Step-by-step explanation:

a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .

b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h

you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each

2.4 km=length of Rutherford and Orchard together

shortcut is 2 km

divide 2.4 by 0.4 or .4 and you get 6  

so if it takes him 20 min on the shortcut it should save him 8 minutes.

Answer:

364

Step-by-step explanation:

156/3 = 52 boxes/hour

52 boxes x 7 hours = 364

Dilation involves changing the size of a shape (i.e. a circle)

The scale of dilation is 4

The circle passes through the origin.

So, one of the points is (0,0)

When dilated it passes through the point (4,0).

The scale factor (k) is calculated by calculating the distance between the new point and the old point.

So, we have:

[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]

This gives

[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]

Simplify

[tex]\mathbf{k = \sqrt{16 +0}}[/tex]

Add 16 and 0

[tex]\mathbf{k = \sqrt{16}}[/tex]

Take the square root of 16

[tex]\mathbf{k =4}[/tex]

Hence, the scale of dilation is 4

Read more about dilation at:

https://brainly.com/question/13176891

Answer: is 1 and 3

Step-by-step explanation: