The bacteria took 1 hour and 40 minutes to fill the initial bottle explain how it only took 10 minutes to fill 3 additional empty bottles

Answer: The price is now 1.5 of what it was before is the correct answer.

Step-by-step explanation:For the given situation,

The statement is given as price increased by 1/2.

Let us assume, we have an item costs 1$.

Now the price is increased by 1/2, so we need to add the fraction to 1.

Answer:

Step-by-step explanation:

of is *

20% is 1/5

1/5 *2000= 2000/5= 400

The 3 sided die is a unique type of dice with three sides instead of the usual six, and the probability of rolling any of the sides is equal to 1/3 or 33.3%.

A 3 sided die, also known as a triangular or tetrahedral die, is a unique type of dice that has three sides instead of the usual six. It is often used in games, puzzles, and simulations that require a random number generator.

Mathematically speaking, the probability of rolling any of the three sides on a 3 sided die is equal to 1/3 or 33.3%. This is because each of the sides has an equal chance of landing face up when the die is rolled.

To calculate the probability of rolling a specific number on a 3 sided die, we divide the number of ways that number can appear by the total number of possible outcomes.

For example, if we want to know the probability of rolling a 2, we would divide 1 (since there is only one side with a 2) by 3 (the total number of sides on the die). This gives us a probability of 1/3 or 33.3%.

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Answer:

$25

Step-by-step explanation:

Let's first subtract the savings account

87.80 - 37.80 = $50

Which means after 10 weeks, she saves $50

$50/10weeks = $5/1 week

Now they save 20% of the route. Which means $5 is 20% of the route.

To get to 100% we multiply 20% by 5.

That means we multiply the $5 by 5 also, giving us $25.

The new functions are:

(f + g)(x) = 3x - 4

(g - h)(x) = 6x - 4

(f o g)(x) = 2x - 4

(g o h)(x) = -8x - 1

And the value of (f-g)(3) = -2.

To find new functions, we can combine the given functions using arithmetic operations.

(f + g)(x) = f(x) + g(x) = (x - 1) + (2x - 3) = 3x - 4

(g - h)(x) = g(x) - h(x) = (2x - 3) - (1 - 4x) = 6x - 4

(f o g)(x) = f(g(x)) = f(2x - 3) = (2x - 3) - 1 = 2x - 4

(g o h)(x) = g(h(x)) = g(1 - 4x) = 2(1 - 4x) - 3 = -8x - 1

To find (f-g)(3), we need to evaluate the function (f - g) at x = 3:

(f - g)(3) = f(3) - g(3) = (3 - 1) - (2(3) - 3) = 1 - 3 = -2

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The given question is incomplete, the complete question is

If  f(x) = x -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)

(f + g)(x)

(g - h)(x)

(f o g)(x)

(g o h)(x)

Members of Baby Boomers generation are retiring at a rate of 10,000 every 24 hours and will all be 65 or older by 2030.

There are 4 generational cohorts :

Baby Boomers(1946-1964)

Thirteeners/Gen X(1965-1980)

Millenials/Gen Y(1981-1996)

Centennials/Gen Z(1997-Present)

So , by the above stated data one can clearly say that the Baby Boomers are the oldest generational cohorts. They are the generation born after Second World War.

According to the last census which was taken in 2010 , none of them turned 65 but after that about 10,000 a day have attained that threshhold and by 2030 , all of the boomers are going to attain at least the age 65.

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The height of the silo, to the nearest meter is, 84.9 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A surveyor needs to determine the height of a large grain silo.

And,  He positions his transit 65 m from the silo and records an angle of elevation of 52º.

Now, By the given condition we can formulate;

tan 52° = x / 65

x = 83.2 m

Here, the height of the transit is 1.7 m,

Thus, The height of the silo, to the nearest meter is,

83.2 + 1.7 m

84.9 m

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Answer:

I'd say the first and third options would be correct.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

If it is a fair spinner then

First option is true

second option is true

third option cannot be determined from info given  

4th option is true

A polar to rectangular calculator equation is an online tool that converts polar coordinates (r, θ) to rectangular coordinates (x, y).

A polar to rectangular calculator equation is a math tool used to convert polar coordinates to rectangular coordinates. Polar coordinates are expressed in terms of a radius r and an angle θ, while rectangular coordinates are expressed in terms of x and y.

To use the calculator, users input the radius and angle in degrees or radians, and the calculator uses the formulas x = r cos(θ) and y = r sin(θ) to calculate the corresponding rectangular coordinates. This tool is commonly used in physics, engineering, and other applications that involve two-dimensional coordinates. It is also useful in graphing polar functions, such as polar curves or polar graphs.

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Answer: B. 240

Step-by-step explanation: Hi there here is why your answer is this:

Area =  b × h

=  12 × 20

=  240 feet2

Hope this helps you!

The total number of possible selections is 18,643,560. This is calculated using the combination formula nCr.

In nCr, n is the total number of objects (50) and r is the number of objects to be selected (7). This is equal to 50C7, which can be written as

To explain this further, the combination formula is used to find the total number of combinations when selecting a certain number of objects from a larger set. In this case, we are selecting 7 numbers from a set of 50, so the total number of combinations is 18,643,560.

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The value of the missing angle of the diagram above would be = 78°

The total interior angle of a triangle = 180°

The value of the available angles given = 44° and 34°

The value of the third angle of the triangle = ?

That is ;

180 = 44+34+?

make ? the subject of formula;

? = 180 -78

? = 102°

But angle of a straight line = 180°

Therefore, <1 = 180-102 = 78°

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The amount of money that the salesman will earn from 10 vans is:

$138,352

The profit from selling 1 van is shared between the salesman and Asco Motor in the ratio of 2:3. This means that for every $5 of profit, the salesman gets $2 and Asco Motor gets $3.

To determine the amount of money that the salesman will earn from 10 vans, we first need to calculate the profit from selling 10 vans. Since the profit from selling 1 van is $34,588, the profit from selling 10 vans will be:

$34,588 × 10 = $345,880

Now we need to calculate the salesman's share of this profit. Since the profit is shared in the ratio of 2:3, the salesman's share will be:

$345,880 × (2/5) = $138,352

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Answer:

When x=3 the answer is 243

Step-by-step explanation:

3 to the power of 5 (3^5) is 243

Answer:

100000

Step-by-step explanation:

7+x⁵ = 250

x⁵ = 250 - 7

x⁵ = 243

⁵√243 = ⁵√x⁵

x = 3

Then:

(7+x)⁵ = (7+3)⁵ = 10⁵

10⁵ = 100000

Answer:

x > -11 and x < 11

Step-by-step explanation:

Find the absolute value of a number gives you its distance from zero, which  is just the numerical parts of it. From this we can reason that the numbers between -11 and 11 have an absolute value less than 11, as they are the numbers that are less than 11 away from zero. This can be represented as -11  < x < 11, and can be separated into x > -11 and x < 11 (the "and" is because x has to fulfill both conditions of being greater than -11 and less than 11).

The simplified form of the expression is -7/14, which is option C.

A fraction represents a portion of a whole. This whole may refer to a place or a group of places. The Latin word "fractio," which means "to break," is the source of the English word "fraction." The division of food and supplies as well as the lack of a bullion currency were among the mathematical issues that the Egyptians used fractions to solve because they were the first civilization to study fractions.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

The expression 4/14 - 11/14 can be simplified by finding a common denominator and combining the fractions:

4/14 - 11/14 = (4 - 11)/14 = -7/14

Hence, the simplified form of the expression is -7/14, which is option C.

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Answer: $27.50

(correct me if i'm wrong, please)

Step-by-step explanation:

(22) + (22 * 0.20) + (20 * 0.05)

22 + 4.40 + 1.10

22 + 5.50

= $27.50

The time right now and the time zone you are in determine how many hours are left before tomorrow. Assuming you mean the following calendar day, tomorrow's hours would be:

The amount of hours until tomorrow if it is currently before midnight is 24 minus the current hour. For instance, if it is 9:00 PM right now, there are 24 – 21 = 3 hours left until tomorrow.

In this case, the number of hours until tomorrow would be equal to the time difference between now and midnight + 24. If it is 1:00 AM, for instance, there are (24 - 1) + 1 = 24 hours until tomorrow.

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The interest rate that would be required is 5.39%. The solution has been obtained by using concept of compound interest.

What is compound interest?

Both the principal and the interest that has accumulated over the preceding period are taken into account when interest is calculated. In contrast to simple interest, which does not take the principal into account when calculating the interest for the following month, compound interest does. Compound interest is usually represented in algebra by the letter C.I.

We are given that Lamonte is going to invest $48,000 and leave it in an account for 17 years. She wants to end up with $120,000.

So, from this we get the equation as

120,000 = 48000e¹⁷ⁿ     ( n is the interest rate)

Solving this, we get

e¹⁷ⁿ = 2.5

n = 5.39%

Hence, the interest rate that would be required is 5.39%.

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Answer:

1. y = 4x^2-4x+5 does not cross the x axis

2. C has imaginary roots

Step-by-step explanation:

See attached worksheet.

The two planes that have created the parallel traits would be airplane 3 and airplane 5

To get the parallel lines, we would have to check the angles that are formed

for angle 3 angles on a line is 180

x + 110 = 180

x = 70 degrees

For angle 5

we can see that the position of x in 3 is the same position in 5

hence we can see that in plane 5, x = 70

hence these two would be parallel

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The difference between relative frequency and cumulative relative frequency is that relative frequency is the ratio of the frequency of a particular value in a dataset to the total number of values, expressed as a percentage. Cumulative relative frequency is the sum of all relative frequencies up to a certain point in the data set.

For example, if a data set has 8 values and 4 are the same, the relative frequency would be 50%. Cumulative relative frequency would be 50% at this point since it is the sum of all relative frequencies up to this point in the data set. If there were another 4 of the same values after this point, the relative frequency would remain at 50%, but the cumulative relative frequency would increase to 100% since it includes all previous relative frequencies.

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Anser 15

Step-by-step explanation:

If 2 more than 3 lots of a number is equivalent to 8 lots of the number, then the number is 2/5

Let's call the unknown number "x".

According to the problem statement, "2 more than 3 lots of a number" can be written as:

3x + 2

And "8 lots of the number" can be written as:

8x

The problem states that these two expressions are equivalent, so we can set them equal to each other

The equation will be

3x + 2 = 8x

Now we can solve for x:

3x + 2 = 8x

Move 8x to left hand side of the equation

-5x = -2

x = 2/5

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A subset is when all elements of any set A are present in another set B. Its working has been explained below.

Let us take two sets on random i.e., set A and set B. If we find that all elements of set A can be found in set B as well, we deem it to be a subset of set B. If we were to explain in simpler terms, we can say that set A is a part of set B.

Let us further assume that set A has the elements {1,2,3} and set {1,2,3,4,5,6}. From what we can see is that all elements in set A are also present in set B. This means that set A is a subset of set B.

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Answer:

1

Step-by-step explanation:

To predict the number of students who will receive historical fiction novels for free reading time, we need to use the concept of probability. Probability is the likelihood of an event occurring, and is expressed as a number between 0 and 1.

In this case, there are a total of 10 + 2 + 8 = 20 books in Miss Nestor's basket. Of these, 2 are historical fiction novels. Therefore, the probability of a student randomly selecting a historical fiction novel from the basket is:

P(historical fiction) = number of historical fiction novels / total number of books

P(historical fiction) = 2/20 = 0.1

This means that there is a 10% chance that a student will randomly select a historical fiction novel from the basket. To predict the number of students who will receive historical fiction novels, we can multiply the probability by the total number of students:

Number of students receiving historical fiction = Probability of historical fiction * Total number of students

Number of students receiving historical fiction = 0.1 * 10

Number of students receiving historical fiction = 1

Therefore, the best prediction of the number of students who will receive historical fiction novels for free reading time is 1.

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A trigonometric identities calculator is an online tool that helps you simplify or prove trigonometric identities using various trigonometric formulas and rules.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.

The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.

Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.

Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance

Trigonometric identities are equations that involve trigonometric functions and are true for all values of the variables involved. These identities are used to simplify expressions involving trigonometric functions, and can be helpful in solving trigonometric equations and evaluating trigonometric functions.

Trigonometric identities calculators can be helpful for students studying trigonometry, as well as for professionals who use trigonometric functions in their work. These calculators typically allow you to enter the trigonometric expression or equation you want to simplify or prove, and then apply various trigonometric identities and rules to arrive at the final result.

There are many online trigonometric identities calculators available that can be accessed for free, including some that provide step-by-step solutions to help you understand how the identities are being applied.

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Answer: 4.5

Step-by-step explanation:

Answer:

.55b = 30

Step-by-step explanation:

55% is .55

You have .55 of b = 30

.55b=30

The speed of the train is 28.5 miles per hour.

According to given condition :

One possible equation to solve for the speed of the train is:

speed = distance / time

In this case, the distance is 285 miles, and the time is 10 hours. Plugging in those values, we get:

speed = 285 / 10

Simplifying this expression, we get:

speed = 28.5

Therefore, the speed of the train is 28.5 miles per hour.

What is equation ?

An equation is a mathematical statement that shows that two expressions are equal. Equations typically use variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.

For example, an equation might be:

2x + 3 = 7

This equation means that if we multiply x by 2 and then add 3, we get 7. The solution to this equation is x = 2, since if we substitute x = 2 into the equation, we get:

2(2) + 3 = 7

4 + 3 = 7

7 = 7

which is true.

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