In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 13 hours. How long would it be, to
the nearest tenth of an hour, until there are 156 bacteria present?

The solid that is produced rotating the triangle about the line m is given as follows:

A cylinder with height of 2 units.

The cylinder has a circular base, hence we must start there, then we consider that;

Rotating the line, the features of the cylinder generated are given as follows:

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To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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Given:

Percentage of vote for Lacrosse is, 40%

Percentage of vote for Basketball is, 40%

Percentage of vote for Hockey is, 20%

The objective is to find the actual results of the survey.

In option (a), (b) and (d), Lacrosse and Basket ball has different amount of votes.

But in given data, both Lacrosse and Basketball has same percentage of votes.

Thus, option (c) will have same amount of 12 vote for Lacrosse and Basket ball.

Then, hockey will receive 6 votes.

Hence, option (C) is the correct answer.

Answer:

0.1190

Step-by-step explanation:

If z = -1.18, the total area to the left under the standard normal curve is taken from the z-distribution table attached;

P(z < - 1.18) = 0.1190

Also, to the right of z = 1.18, we have;

P(z > 1.18) = 1 - P(z < 1.18)

From the second image attached from z-table, we have;

P(z > 1.18) = 1 - 0.8810

P(z > 1.18) = 0.1190

Thus, the total area to the left of z= - 1.18 and to the right of z= 1.18 under the standard normal curve is 0.1190

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

B

Step-by-step explanation:

B because you have to add. It says total amount and x represents the number of miles of the ride

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

\(Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15\)

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

(3) c=$40+$30h

Step-by-step explanation:

Answer:

(3) c=$40+$30h

Step-by-step explanation:

Since there is an initial fee for a repair, that is just added. Since the hourly fee depends on how long it takes, it needs a variable with it.

Answer:

Step-by-step explanation:

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Answer:

y = (-5/3)x + 3

Step-by-step explanation:

5x + 3y = 9

y = mx + b

3y = -5x + 9

÷3    ÷3    ÷3

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

y = (-5/3)x + 3

I hope this helps!

The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

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Answer:

The digit 2 is worth 2 tens (i.e 20)

Step-by-step explanation:

It's in the tens place, thus 2 tens, meaning 20

Answer:

20

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

13 pieses - 3 pieces = 10 pieces that are eaten

Answer:

10

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Right on Edge:

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

The perimeter of rectangle M'N'O'P' is given as follows:

54 cm.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The ratio between the areas is given as follows:

126/14 = 9.

The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:

3.

Hence the perimeter of rectangle M'N'O'P' is given as follows:

3 x 18 = 54 cm.

The complete problem is:

Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?

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Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\(\frac{1}{tb}\) = \(\frac{1}{t1}\) + \(\frac{1}{t2}\), where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\(\frac{1}{tb}\) = \(\frac{1}{5}\) + \(\frac{1}{10}\)

\(\frac{1}{tb}\) = \(\frac{4}{20}\) + \(\frac{2}{20}\)

\(\frac{1}{tb}\) = \(\frac{6}{20}\)

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

There are 22 athletes who like both running and walking.

Let R be the set of athletes who like to run, and

let W be the set of athletes who like to walk.

Then we want to find the size of the intersection R ∩ W.

We know that there are 31 athletes who like to run,

65 athletes who like to walk, and

22 athletes who like neither.

Therefore, the total number of athletes who like to run or walk (or both) is:

31 + 65 - 22 = 74

This number includes athletes who like both running and walking, as well as athletes who like only running or only walking.

Now we can use the formula:

|A ∪ B| = |A| + |B| - |A ∩ B|

So  |R ∪ W| = |R| + |W| - |R ∩ W|

Substituting the known values, we get:

74 = 31 + 65 - |R ∩ W|

Simplifying, we get:

|R ∩ W| = 22

Therefore, there are 22 athletes who like both running and walking.

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Answer: 42/6=7

Step-by-step explanation:

there's 42 liters of juice right? so to divide it into six batches all you got to do is divide all the liters of juice into how many batches you need. So as it says in the question, just divide 42 by 6 and you'll get your answer which is 7.

Answer:

The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.

An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

Step-by-step explanation:

Aisha’s estimate is not reasonable.

They earned about $100 and spent about $120 so they should have about $20 less than they started with.

Equation: \(6xt^4yz^3 + 10a = 1\). Number of terms: 2, Coefficients: 6, 10 and Constants: 1.

Equation: \(25abc^2ab + 3ac6bc + 25\), Number of terms: 3. Coefficients: 25, 3, 6. Constants: 25

What is equation and an expression?

A random combination of integers, variables, functions, etc. can be described as an expression. An expression is, for instance, 3x - 2. An equation, on the other hand, is created when two independent expressions are joined by the equal to sign. An equation, for instance, is when 3x - 2 = 5 + x.

Equation/Expression: 6xt⁴yz³ + 10a = 1

Number of terms: 2

Coefficients: 6, 10

Constants: 1

Equation/Expression: 25abc²ab + 3ac6bc + 25

Number of terms: 3

Coefficients: 25, 3, 6

Constants: 25

Equation/Expression: 25y³xy + 5 = 100

Number of terms: 2

Coefficients: 25, 1

Constants: 5, 100

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The false statement from the stem-and-leaf plot is given as follows:

b. The data for Paul’s group has two modes.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The mode of a data-set is the data-set that appears the most times in a data-set.

Hence, for Paul's group, the mode is given as follows:

44.

As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!