During the exponential growth phase of Salmonella Enerica bacteria in a certain environment, the population grows exponentially with a growth rate of 2.74% per hour. For an initial population of 18 Salmonella Enerica bacteria, determine how many bacteria will be present after 4 days in the exponential growth phase. Round to the nearest whole number

The expression which represents the perimeter, in centimetres of the rectangle as described in the task content is;

According to the task content, the expression which represents the perimeter, in centimetres of the rectangle as described in the task content is to be determined.

Since the perimeter of a rectangle is given by the formula;

Perimeter = 2(l +w).

where; l = (10v +10) and w = (9v -3)

Therefore, the expression which represents the perimeter is;

P = 2(10v +10 + 9v -3)

P = 2 (19v +7)

P = 38v +14.

Ultimately, the expression which represents the perimeter, in centimetres of the rectangle as described in the task content is; 38v +14.

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The bird is 1 feet below the pond relative to the surface of the water.

It is given that the bird is flying 11 feet above the pond.

So, the distance between flying bird and surface of pond = 11 Feet

Plunge steeply downward through the air or plunge head first into water.

After diving 15 feet down, it means that the bird is 4 feet under the pond as bird was flying 11 feet above the surface of pond.

So, the distance between surface of pond and the bird after diving down = 4 Feet

After that, it says that bird rises 3 feet to catch the fish,

So, after rising 3 feet above in the pond the distance between surface of pond and the bird is 1 feet.

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The value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰

Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as bn and is pronounced as "b to the n."

Knowing that every number raised to the power of zero equals one is necessary before we can simplify using a zero exponent. Hence:

1,999,999 = 1,999,999 × 1

Since 1 can be expressed as 10⁰, the value becomes:

1,999,999 = 1,999,999 × 10⁰

Therefore, the value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰.

The complete question is given below:-

Simplify 1,999,999 with an exponent of 0

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- - - - - - - - - - - - - - - - - - - - - - - -

Help below. Enjoy!

- - - - - - - - - - - - - - - - - - - - - - - -

"Twice the sum of a number and four"- that's a bit to take in. Let's break it up.

Twice the sum of a number - that's double the sum of an unannounced number, so let's call it "n"

2(n +)

and four - Add four.

2(n + 4)

- - - - - - - - - - - - - - - - - - - - - - - -

This should work. If not, please leave a comment and I'll try my best to help!

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~pinetreee

We need to know about concept of work done on spring to solve the question.The natural length of the spring is 5cm.

We will need to make assumptions to solve this problem, we will assume that the natural length of the srping is [tex]x_{0}[/tex] and the work done to stretch the spring from it's natural length to a specific length is given by

W=[tex]\frac{1}{2} k(x-x_{0} )^{2}[/tex] , where W is the work done, x is the final length of the spring

We have to find out the work done to get to 7cma nd 9cm separately and then subtract one from the other to get the work done to stretch from 7cm to 9cm. We repeat the process for 9cm and 11cm and we will find the final result which is the natural length.

W=[tex]\frac{1}{2} k(7-x_{0} )^{2}[/tex]

W=[tex]\frac{1}{2} k(9-x_{0} )^{2}[/tex]

[tex]\frac{1}{2} k(9-x_{0} )^{2} -\frac{1}{2} k(7-x_{0} )^{2} =0.6\\(9-x_{0} )^{2} - (7-x_{0} )^{2} =\frac{1.2}{k}[/tex]...(i)

W=[tex]\frac{1}{2} k(9-x_{0} )^{2}[/tex]

W=[tex]\frac{1}{2} k(11-x_{0} )^{2}[/tex]

[tex]\frac{1}{2} k(11-x_{0} )^{2} -\frac{1}{2} k(9-x_{0} )^{2} =1\\(11-x_{0} )^{2} -(9-x_{0} )^{2} =\frac{2}{k}[/tex]...(ii)

Dividing equation (ii) by (i)

[tex]\frac{(11-x_{0} )^{2} -(9-x_{0} )^{2} }{(9-x_{0} )^{2} -(7-x_{0} )^{2} } =\frac{2}{1.2} \\\frac{(20-2x_{0} )2}{(16-2x_{0})2 } =\frac{1}{0.6} \\12-1.2x_{0} =16-2x_{0} \\0.8x_{0} =4\\x_{0} =5[/tex]

Thus using the concept of work done to stretch a spring we get the natural length of the spring which is 5cm.

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The correct option is (3) 5/2

The slope of a line perpendicular to m is 5/2.

The slope of a line can be find by dividing its vertical change, or the rise of line by its horizontal change or the run . No matter which two locations on the line you choose, the slope of a line is always constant (it never varies). The word "slope" is represented by the letter "m," and it describes how steep a line is.

In the given question,

from the graph take any two points on the line say point A (2,1) and point B (-3,3)

now using the slope formula,

slope = m1 = [tex]\frac{delta \ Y}{delta \ X} = \frac{y2-y1}{x2-x1}[/tex]

=> m1 = [tex]\frac{3-1}{-3-2} = - \frac{2}{5}[/tex]

Now, for perpendicular lines:

m1.m2 = -1

=> m2 = 5/2

Thus, slope of a line perpendicular to m is 5/2.

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The complete question is:

Given line m  graphed on the grid shown, which of the following would be the slope of a line perpendicular to m ?

(1) -3 /2

(2) 7/3

(3) 5/2

(4)  -3/4

Let

[tex]\displaystyle f(x) = \sum_{n=1}^\infty (-1)^{n-1} \frac{x^{2n-1}}{(2n-1)! (2n+1)}[/tex]

The exponent is indeed [tex]2n-1[/tex] - not a typo!

Take the antiderivative of [tex]f[/tex], denoted by [tex]F[/tex]. This recovers a factor of [tex]2n[/tex] in the denominator, which lets us condense it to a single factorial.

[tex]\displaystyle F(x) = \int f(x) \, dx = C + \sum_{n=1}^\infty (-1)^{n-1} \frac{x^{2n}}{(2n+1)!}[/tex]

Recall the series expansion of sine,

[tex]\displaystyle \sin(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{(2n+1)!}[/tex]

Then with a little algebraic manipulation, we get

[tex]\displaystyle F(x) = \int f(x) \, dx = C + 1 - \frac{\sin(x)}x[/tex]

Differentiate to recover [tex]f[/tex].

[tex]f(x) = \dfrac{\sin(x) - x\cos(x)}{x^2}[/tex]

Finally, [tex]f(\pi) = \frac1\pi[/tex], so our sum is

[tex]\displaystyle \pi^2 f(\pi) = \sum_{n=1}^\infty (-1)^{n-1} \frac{\pi^{2n+1}}{(2n-1)! (2n+1)} = \boxed{\pi}[/tex]

[tex]\frac{16000}{218282}[/tex] minutes take to travel

According to the question,

Given that,

Traveling 64 feet at rate of 14.5454 feet per second

[tex]\frac{64}{14.5454 * 60}[/tex]

convert decimal into fraction

 [tex]\frac{64}{\frac{145454}{10000} * 60}[/tex]

 [tex]\frac{64}{\frac{145454}{500} * 3}[/tex]

 [tex]\frac{64}{\frac{72727}{250} * 3}[/tex]

[tex]64 *\frac{250}{72727 * 3}[/tex]

[tex]\frac{16000}{218282}[/tex]   ≈ 7.3333361 %

There’s a simple formula which governs the three, and it can be expressed with either variable as the subject of the equation:

Distance = speed * time

Time = distance/speed

Speed = distance/time

So, as long as we have a couple of those, we can plug them into one of the equations.

Time = distance/speed. So, a nice easy one would be how many hours does it take to cover 30km when you are travelling at 120km/h.

Time = 30km/120km/h = 0.25 hours.

If you need to figure out how many minutes that is, simply multiply it by 60, which gives you 15 minutes.

You’re going to drive at an average of 70km/h for 4 hours.

Distance is speed multiplied by time, so:

70km/h * 4 hours = 280km.

Easy so far, but what about if you’re going to be driving for 4 hours and 15 minutes? Now you either need to figure out how much 15 minutes is as a decimal number of hours, or you need to convert the hours figure into minutes and, at the end, convert it back.

The first option is fairly simple: take the 15 minutes and divide it by 60 minutes so that we know what proportion of an hour 15 minutes is.

15 minutes / 60 minutes = 0.25 hours

Add that onto the 4 hours you already have and it’s 4.25 hours. Plug it into the same equation:

70km/h * 4.25 hours = 297.5km

The other way around of doing this is converting the time into minutes. Four hours in minutes is 4 * 60 = 240 minutes.

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the remainder as a fraction= 49

Solution :

Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders or practice your own long division problems and use this calculator to check your answers.

Long division with remainders is one of two methods of doing long division by hand. It is somewhat easier than solving a division problem by finding a quotient answer with a decimal. If you need to do long division with decimals use our Long Division with Decimals Calculator.

Long Division:

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too. Let us learn more about the long division method along with its steps and examples in this article.

5549 divided by 220 =

[tex]\frac{5549}{220} = 25*220+49\\\\\\so , quotient = 25\\divisor = 220\\reminder = 49\\\\divided = 5549[/tex]

the remainder as a fraction= 49

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Answer:

C 24 169|220

Step-by-step explanation:

I'm on the quiz

Answer:

Go

Step-by-step explanation:

go

The solution to the system of linear equations is (x, y) = (2, 3).

Graphic methods are useful to solve systems of two linear equations with two variables, as it is seen in the statement of the problem. In accordance with geometry, a line can be constructed by knowing the coordinates of two distinct points on Cartesian plane. First, rewrite each linear equation into its explicit form:

y = 2 · x - 1                      (1)

y = - 3 · x + 9                  (2)

Second, look for two points lying on each line:

y = 2 · x - 1

(0, - 1) and (1, 1)

y = - 3 · x + 9

(0, 9) and (- 3, 6)

Third, plot the points on a Cartesian plane and pass each line through corresponding pair of points. The result is presented by the image attached below.

The solution to this system is the point of intersection of the two lines. The point of intersection is (2, 3).

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Answer: See the diagram below

Explanation:

Start at -4 on the number line. Then move 6 units to the right to arrive at 2 on the number line.

This shows us that -4+6 = 2

The possible sets of the solution of the expression given as √0 + 7 are integer, whole number, natural number, rational number and real numbers

The expression is given as

√0 + 7

Start by evaluating the radical expression

So, we have

√0 + 7 = 0 + 7

Continue by evaluating the sum of the terms

So, we have

√0 + 7 = 7

The above implies that the result of the expression √0 + 7 is 7

The sets the number 7 belong to are:

Hence, the possible sets of the solution of the expression given as √0 + 7 are integer, whole number, natural number, rational number and real numbers

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The simple interest rate being charged by Maite is 39.04%

As we are provided with the information that principal amount is  $3,500.00 and the interest amount Maite has to pay is $1,025.00 which has to be paid after 9 months and we need to calculate the simple interest rate she is being charged

The formula for calculation of simple interest =  P R T / 100

where P is the principal amount, R is the rate of interest and T is the time for which the loan is taken

                  1025 = 3500 × R × (9/12) / 100

                  1025×100 = 3500×R×9/12

                  102500 ×12/3500= 9R

                  351.4 =9R

                  R= 39.04%

Hence the simple interest rate being charged by Maite is 3.90%

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1.2 gallons of water should be added to 1 gallon of antifreeze to make it a solution which have 45% of antifreeze.

Percentage is the value per hundredth.

According to the given question we have to determine how much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 45% antifreeze.

To obtain a 45% antifreeze solution we need (100-45)% = 65% water.

Let us assume that the total mix is of x gallons which contains 45% antifreeze.

∴ The total mix in gallons which contains 45% antifreeze and have 1 gallon of antifreeze is

(45/100)x =1.

0.45x = 1

x = 1/0.45

x= 2.22 gallons of total mix.

∴ Water in this mix which have 45% of antifreeze is (2.22 - 1) gallons which is = 1.22 gallons of water.

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The number of hours of comedy shows that Devon records is 1 1/2  hours or 1.5 hours.

What is the straightforward meaning of time?

Devon records reality shows on her dvr for the time of = 4 hours

She records comedy shows 3/8 of the amount of time.

The time of recording comedy shows = 3/8 of 4 hours

                                                                = 3/8 × 4

                                                                = 12/8

                                                                = 3/2                      

                                                                 = [tex]1\frac{1}{2}[/tex]

The number of hours of comedy shows that Devon records is 1 1/2  hours or 1.5 hours.

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Finding the equation of the parabola, it is found that the height of the diving board is of 24 feet.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

From the maximum height, it is found that the vertex is at (1,25), hence:

h = 1, k = 25.

Hence:

y = a(x - 1)² + 25.

You hit the water 6 feet from the diving board, hence y(6) = 0, meaning that we use it to find a as follows:

0 = a(6 - 1)² + 25

25a = -25.

a = -1.

Hence:

y = -(x - 1)² + 25.

The height of the diving board is y(0), hence:

y = -(0 - 1)² + 25 = -1 + 25 = 24 feet.

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Answer:

13.

Step-by-step explanation:

1) if the required number of years is 'x', then it is possbile to make up the equation:

43+x=2(15+x);

2) finally, x=13 [years].

The cost to carpet the bedroom of size 11 feet × 11 feet will be equal to $1332.90.

What is area of rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that size of bedroom is 11 feet by 11 feet.

Carpet costs $33.05 per square yard.

Firstly, we need to find out the the area of bedroom in feet. The room has the shape of a rectangle.

We know that , the area of rectangle is given by :

A = Length x Width.  

So ,

Area of room will be :

= 11 x 11

= 121 square feet

Convert this area of the room in square feet to square yards.

We know that , 1 feet = 1/3 yards

So , 121 square feet will be :

= 121 /3

= 40.33 square yards

So , the cost to carpet the bedroom will be :

= 40.33 x $33.05

= $1332.90

Therefore , the cost to carpet the bedroom of size 11 feet × 11 feet will be equal to $1332.90.

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the slope of the linear equation is 120, then the correct option is the third counting from the top.

For any linear equation with two points (a, b) and (c, d), the slope (or rate of change) of that line is given by:

s = (d - b)/(c - a)

So here we can use the first two points so we get:

(0.5, 60)

(1.5, 180)

With these two points we will get the slope:

s = (180 - 60)/(1.5 - 0.5) = 129

We conclude that the slope is 120, then the correct option is the third counting from the top.

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The relationship c(x) = 4.5+ 0.32x it is a linear relationship.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5

Given data

c(x) = 4.5+ 0.32x

The relationship c(x) = 4.5+ 0.32x it is a linear relationship.  It can be compared to the equation of a straight line which is

y = mx + c

m is the slope and c is the y intercept

The comparison shows that

y = c(x)

c = 4.5

m = 0.32

If the cost is related with the relationship c(x) = 4.5+ 0.32x.

it can be seen that even when there is no weight or no salad that is at    x = 0 the cost is c = 4.5.

This means that there is a fixed cost of 4.5 for any salad weight, in ounces bought.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5.

The 0.32 is a reduction factor because the value is less than 1 and will reduce any number it multiplies.

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Answer:xet1234567890987654323456789

Step-by-step explanation:

87654323456789098765434567890

Answer:

50

Step-by-step explanation:

(6+√-64)(3-√-16)

6(3-√-16) +√-64(3-√-16)

18 - 6√-16 + 3√-64 - √1024

18 - 6(4i) + 3(8i) - 32i²

i² = -1

18 - 24i + 24i - (-1) 32

18 + 24i - 24i + 32

18 + 32 = 50

I hope this helps!

the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.

We know that, if the lines are parallel, then their slopes are equal.

We have the line:

- x + 2 y = 7

Slope = - 1

Now, we have the point ( 4, 3)

So, the equation of the line will be:

y - y₁ = m ( x - x₁ )

Substituting the values, we get that:

y - 3 = - 1 ( x - 4 )

y - 3 = - x + 4

x + y - 3 - 4 = 0

x + y - 7 = 0

- x - y + 7 = 0

Therefore, the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.

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Answer:

the first question is multipleling or division

the second one js given

the third one commutative property

the forth one is disturve property

last one is addition or sub

Answer:

Given, Distributive Property, Addition or Subtraction Property of Equality, Multiplication or Division Property of Equality, Commutative Property

I hope I helped!

Answer:

875

Step-by-step explanation:

Answer:

the answer is 875

your welcom =D

Answer:

-9.5, -7, 5

Step-by-step explanation:

We need to make this a readable function. We will change it to slope-intercept form, y = mx + b. to do this, we must isolate the variable y.

-5x + 2y = -19
-5x + 2y + 19 = -19 + 19
-5x + 2y + 19 = 0
-5x + 2y - 2y + 19 = -2y
-5x + 19 = -2y
We are solving for positive y, so we will flip all signs in the equation.
5x + - 19 = 2y
5x/2 - 19/2 = 2y/2
2.5x - 9.5 = y
y = 2.5x - 9.5

There's our y = mx + b. We now need to solve for each ordered pair.

y = 2.5(0) - 9.5
y = -9.5
(0, -9.5)

y = 2.5(1) - 9.5
y = 2.5 - 9.5
y = -7
(1, -7)

2.5x - 9.5 = 3
2.5x - 9.5 + 9.5 = 3 + 9.5
2.5x = 12.5
2.5x/2.5 = 12.5/2.5
x = 5
(5, 3)