I NEED HELP WITH THIS

There will be approximately 22,427 bacteria left after 19 hours.

To solve this problem, we need to use the concept of exponential decay. Exponential decay occurs when a quantity decreases at a constant rate over time. In this case, the bacteria population is decreasing at a constant rate over time.

To find out how many bacteria will be left after 19 hours, we can use the formula for exponential decay:

N = N0 * e^(-kt)

where N is the final number of bacteria, N0 is the initial number of bacteria, k is the decay constant, and t is the time elapsed.

We know that the initial number of bacteria is 380,000 and the final number of bacteria is 600. We also know that the time elapsed is 42 hours. Using these values, we can find the decay constant k:

600 = 380,000 * e^(-k*42)

Dividing both sides by 380,000:

0.001578947 = e^(-k*42)

Taking the natural logarithm of both sides:

ln(0.001578947) = -k*42

Solving for k:

k = -ln(0.001578947) / 42

k = 0.0279

Now that we know the decay constant k, we can use the formula to find out how many bacteria will be left after 19 hours:

N = N0 * e^(-kt)

N = 380,000 * e^(-0.0279*19)

N = 22,427

Therefore, there will be approximately 22,427 bacteria left after 19 hours. We round this number to the nearest whole number, which is 22,000.

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Answer:

Step-by-step explanation:

Option C a right triangle is the correct answer

The required mean as calculated from the given data is 13.

To calculate the mean x + y

mean of x + mean of y

= 5 + 8

=13

In addition to the mode and median, the mean is one of the measurements of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the

Standard Deviation

The indicator of dispersion is the standard deviation. It denotes how widely apart the data values are from the mean value.

Formula: σ=∑i=1nxi-μ2n

NOTE :

Complete question:

A random variable X has a mean of 5 and a st. dev of 0.40. A random variable Y has a mean of 8 and a st. dev of 0.60. If both are independent, what is the mean of X + Y?

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Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

The triangles are similar   so

x + 46 + 78 = 180

x = 56°

With this query, no effort is necessary. measure the tbsp. of all items.

A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.

1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.

No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.

2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.

No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.

No work is required for this question. It is a simple instruction to add  \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.

4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.

5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.

No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.

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3 kilograms a 2 liter jug of sports drink would weigh .

Let us assume that the  weigh of a 2 liter jug of sports drink  be x .

As given Maddy is carrying a 5 liter jug of sports drink that weighs 7.5 kg.

She have a 2 liter jug of sports drink .

Than 5 liter = 7.5 kg.

1 litre = 7.5/5 kg

Now for the 2 liter jug of sports drink  .

Than equation becomes

w= 2×7.5/5

w/2 =7.5/5

w=3 kg

Hence,  3 kilograms a 2 liter jug of sports drink would weigh .

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Answer:

b) 33.75≤x≤34.25

Step-by-step explanation:

X could equal either 34.25 or 33.75 to give you exactly 0.25. Since the answer can be less than 0.25, it’s all numbers between 33.75 and 34.25, including those two numbers.  (That’s why the circles are filled in, unlike answer a).

Step-by-step explanation:

3. First, let's find the length of AB:

22²+14² = AB²

680 = AB²

AB = √680

AB ≈ 26.08

The sin of x° is equal to 14/2608

14/26.08 ≈ 0.54

Now you do the asin of 0.54:

asin(0.54) = 32.68°

4. The cos(41°) = x/34, and also the value of cos(41°) ≈ 0.75, so:

0.75 = x/34

x = 34•0.75

x = 25.5°

The statement P(A) + P(B) = 1 holds true only when events A and B are mutually exclusive, meaning they cannot occur simultaneously.

In this case, the events A (checking out a math book) and B (checking out a history book) are not mutually exclusive. It is possible for a book to be both a math book and a history book, so there may be some books in the library that fall into both categories.

If there are books that belong to both math and history categories, then the probability of selecting a math book (event A) and the probability of selecting a history book (event B) are not completely independent. Consequently, the probabilities of A and B are not additive. Therefore, P(A) + P(B) will be greater than 1 since it includes the overlapping probability of selecting a book that belongs to both math and history categories.

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Answer:

$44.45

Step-by-step explanation:

27% of 35 is 9.45 add that to 35 to get $44.45

Answer:

The answer is $44.45

Step-by-step explanation:

You change the percent into a decimal so it would be .27 then multiply the .27 to the $35 and you will get $9.45. Then you add the $9.45 to the $35 and you will get the answer.

Peter will be needing 6 gallons of paint to paint the wall of area 2070 sq ft.

Given that Peter uses 3 gallons of paint to paint an area of 1005 ft², we need to find how many gallons of paint would he need to paint a wall having area between 1,950 and 2,070 square feet of walls.

So,

Since he uses 3 gallons for 1005,

So, for 1 sq ft of area he will need = 1/335 gallons

So, for an area of 2070 sq ft he will need = 2070 x 1/335 ≈ 6 gallons.

Hence he will be needing 6 gallons of paint to paint the wall of area 2070 sq ft.

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Probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.

What is Probability ?

What is the probability of each value of a discrete random variable?

The probability P(x) that a discrete random variable X will take the value x in one trial of the experiment is connected to each possible value x of the variable.

Which is a discrete random variable?

What is the other name of mean of discrete random variable?

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Answer:

-1/2

Step-by-step explanation:

Use the slope formula.

y2-y1/x2-x1

Plug in the values and solve.

6-7/3-1 = -1/2

Answer:

m=-1/2

Step-by-step explanation:

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

(6-7)/(3-1)=m

m=-1/2

m is slope

The distance between each pair of points using the Pythagorean Theorem for (1) (-7,1), (-8,2) is 1.4 and for (2) (-4, -7), (-1, -1) is 6.7.

Pythagoraan theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

(1) To calculate the distance between the points (-7,1), (-8,2), using Pythagorean theorem, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equawtion 1

(2) Similarly, For points (-4, -7), (-1, -1), to calculate the distance between the points, we use the formula ablove

Given:

Substitute these values into equation 1

Hence, the distance between each pair of points is 1.4 and 6.7 respectively.

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The perfect cube root of the quotient is 3 (option d).

To find the smallest number by which 120393 should be divided so that the quotient is a perfect cube, follow these steps:

1. Factorize the given number 120393: 120393 = 3 × 7 × 13 × 397
2. Identify the prime factors that need to be included to make it a perfect cube: 3, 7, 13
3. Calculate the smallest number to be divided: 3 × 7 × 13 = 273

So, the smallest number by which 120393 should be divided is 273 (option b).

Now, to find the cube root of the quotient:

1. Divide 120393 by 273: 120393 ÷ 273 = 441
2. Calculate the cube root of 441: ∛441 = 3 × 3 × 3 = 3^3

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The smallest number by which 120393 should be divided so that the quotient is a perfect cube is 13. The cube root of the quotient is 37. What is the smallest number by which 120393 should be divided: To find the smallest number by which 120393 should be divided so that the quotient is a perfect cube.

We can use the following steps: Step 1: Find the prime factors of 120393. Step 2: Determine the smallest number that when divided by the factors in Step 1 makes them a perfect cube. Step 3: Multiply all the factors together to get the smallest number required to make 120393 a perfect cube.Prime factorization of 120393120393 = 3 × 40131 = 3 × 3 × 3 × 149149 is already a prime number.Therefore, the smallest number that 120393 should be divided by so that the quotient is a perfect cube is 13.120393 ÷ 13³ = 197. Notice that 197 is a prime number, and therefore a perfect cube.What is Prime Factorisation: Prime factorization is finding the factors of a number that are all prime. Here's how you do it: Find 2 factors of your number. Then look at your 2 factors and determine if one or both of them is not prime. If it is not a prime factor it. Repeat this process until all your factors are prime.The cube root of 197 is:∛197 = 5.65685424949The cube root of the quotient is 37. Therefore, the answer is C.

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Answer:

Step-by-step explanation:

You can set the equation up like this

80=2x

Divide both sides by 2

x=40

The value of f(x) will always be greater than the value of g(x) over the interval [0,8].

To answer this question, we need to compare the rates of change of the two functions f(x) and g(x) over the given interval [0,8].

The rate of change of f(x) over the interval [0,8] is given by the derivative of the function:

f'(x) = 10x

The rate of change of g(x) over the interval [0,8] is also given by the derivative of the function:

g'(x) = 2

Since the derivative of f(x) is positive (f'(x) > 0) and the derivative of g(x) is a constant positive number (g'(x) = 2), we can conclude that f(x) is increasing at a faster rate than g(x) over the interval [0,8].

Therefore, as x increases, the value of f(x) will always be greater than the value of g(x) over the interval [0,8].

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The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.

A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.

Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.

A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.

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Answer:

Step-by-step explanation:

The LCM (lest common multiple) of 6 and 8 is  24

the multiples of 8 are 8, 16, 24, 32...

the multiples of 6 are 6, 12, 18, 24, 30...

They have 24 in common, so 24 is the answer

Answer:

B: 24

Step-by-step explanation:

the multiples of 8 are 8, 16, 24, 32...

the multiples of 6 are 6, 12, 18, 24, 30...

24 is the least common multiple that id the same with both numbers

The standard format for electronic document submission in U.S. federal courts is PDF (Portable Document Format).

PDF, or Portable Document Format, is a widely used file format that allows for the electronic representation of documents. It is designed to be platform-independent, meaning it can be viewed and accessed on different devices and operating systems while retaining its original formatting. In the context of U.S. federal courts, PDF has become the standard format for attorneys to submit documents electronically.

The adoption of PDF as the standard format for electronic document submission in U.S. federal courts brings several advantages. PDF files are generally compact in size, making them easier to transmit and store. They also preserve the interest, fonts, and graphics of the original document, ensuring that the submitted materials are accurately represented.

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Answer:

y=95x+50

Step-by-step explanation:

Answer:

58°+90°+x=180°

148°+x=180°

x=180°+148°

x= 32° is your answer ☺️☺️☺️

Answer:

32

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

10,101

Step-by-step explanation:

Percent (%) means 'out of one hundred'

29.5%= 29.5/100 'out of one hundred'

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

How to increase the number 7,800

by 29.5% of it's value?

1.) Calculate the new value of the number increased by the percentage of it's initial value

The new value=

7,800+ The value of the percentage increase=

7,800 + (29.5% x 7,800) =

7,800 + 29.5% x 7,800=

(1 + 29.5%) x 7,800=

(100% + 29.5%) x 7,800=

129.5% x 7,800

129.5 ÷ 100 x 7,800=

129.5 x 7,800 ÷ 100=

1,010,100 ÷ 100=

10,101

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I hope this was helpful!

The expression that is not a variation of the Pythagorean identity is the third option.

The Pythagorean identity can be written as:

\(sin^2(x) + cos^2(x) = 1\)

For example, if we subtract cos^2(x) on both sides we get the second option:

\(sin^2(x) = 1 - cos^2(x)\)

Which is a variation.

Now, let's divide both sides by cos^2(x).

\(sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1\)

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.

Concluding, the correct option is the third one.

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The molarity of the KOH solution is approximately 0.1497 M.

To find the molarity of the potassium hydroxide (KOH) solution, we need to use the concept of stoichiometry and the balanced chemical equation for the reaction between KOH and HCl. The balanced equation is as follows:

KOH + HCl → KCl + H2O

From the balanced equation, we can see that 1 mole of KOH reacts with 1 mole of HCl to produce 1 mole of KCl and 1 mole of water. This means that the ratio of moles of KOH to moles of HCl is 1:1.

Given that the volume of the hydrochloric acid solution used is 27.1 mL and its molarity is 0.122 M, we can calculate the number of moles of HCl using the equation:

moles of HCl = molarity × volume (in liters)

= 0.122 mol/L × 0.0271 L

= 0.00331 mol

Since the stoichiometric ratio between KOH and HCl is 1:1, the number of moles of KOH is also 0.00331 mol.

Now, we can use the volume of the potassium hydroxide solution used in the titration, which is 22.1 mL, and the number of moles of KOH to calculate the molarity of the KOH solution.

molarity of KOH = moles of KOH / volume (in liters)

= 0.00331 mol / 0.0221 L

= 0.1497 M

Therefore, the molarity of the potassium hydroxide solution is approximately 0.1497 M.

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Complete Question:

An aqueous solution of potassium hydroxide is standardized by titration with a 0.122 M solution of hydrochloric acid. If 22.1 mL of base are required to neutralize 27.1 mL of the acid, what is the molarity of the potassium hydroxide solution?

Step-by-step explanation:

Expression is represented as:

\(f-15\)

f is decreased (-) by 15.

Decreased: when a number has been subtracted, or lost part/all of its value.

Hi!

Your answer is \(f-15\)

"Decreased by" implies subtraction, because you are decreasing its value. If you are decreasing a number by a value, you are subtracting that value from said number.

Therefore, if \(f\) is decreased by \(15\), you are subtracting \(15\) from \(f\).

Which gets you \(f-15\)

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The area of Triangle B is 2 times greater than the area of Triangle A.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

Area of the triangle = 1/2 h*b

For Triangle A, the area is:

Area_A = 1/2 * b * h

For Triangle B, the area is:

Area_B = 1/2 * b * 2h = b * h

So, the area of Triangle B is twice the area of Triangle A.

Therefore, the area of Triangle B is 2 times greater than the area of Triangle A.

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The area of the flower bed in square yards is 28 Square yards.

The area of the rectangular flower bed in square yards, we need to convert the measurements from feet to yards. There are 3 feet in 1 yard, so:

Length in yards = 21 feet / 3 = 7 yards

Width in yards = 12 feet / 3 = 4 yards

Now we can calculate the area in square yards:

Area = Length × Width

Area = 7 yards × 4 yards

Area = 28 square yards

Therefore, the area of the flower bed in square yards is 28 square yards.

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The final surface area of the composite figure is 3500 square feet.

We are given that;

Dimensions of rectangular prism= 25ft*50ft*14ft

Height of triangle= 8ft

Now,

Plugging in the given dimensions, we get:

The surface area of the rectangular prism is SA = 2 (25 x 50 + 50 x 14 + 25 x 14) = 4900 square feet.

The surface area of the triangular prism is SA = 25 x 8 + 50 x 8 + 50 x 5 + 25 x 5 = 1100 square feet.

Adding them together, we get:

The total surface area of the composite figure is SA = 4900 + 1100 = 6000 square feet.

However, this answer includes some areas that are not on the surface or are overlapping. We need to subtract these areas from the total surface area.

The area that is not on the surface is the base of the triangular prism, which is a rectangle with length 25 feet and width 50 feet. The area of this rectangle is A = lw = 25 x 50 = 1250 square feet.

The area that is overlapping is the top of the rectangular prism, which is also a rectangle with length 25 feet and width 50 feet. The area of this rectangle is also A = lw = 25 x 50 = 1250 square feet.

Subtracting these areas from the total surface area, we get:

SA = 6000 - 1250 - 1250 = 3500 square feet.

Therefore, by the area the answer will be 3500 square feet.

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