A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Use exponential growth formula

In this situation, we can actually see that Mitch was simply basing her taste on the information that is readily available to her. She does not even consider whether those reviews are legit or reliable. Mitch is falling into what we call as:

“the availability heuristic”

Mitch is falling prey to the bandwagon effect, where he avoids dining at a restaurant based on a few negative reviews he read online. The bandwagon effect is a cognitive bias that leads us to adopt beliefs or behaviors because we think everyone else is doing the same.

Mitch is falling prey to the bandwagon effect. The bandwagon effect is when someone adopts a certain belief or behavior because they believe that everyone else is doing it too. In this case, Mitch refuses to dine at a certain restaurant because of negative reviews he read on a popular website, assuming that those reviews reflect the majority opinion.

The bandwagon effect is a cognitive bias that can influence our decision-making process. It is important to be aware of this bias and make decisions based on objective information rather than simply following the crowd.

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Answer:

The length of minute hand is 9.5 cm

Step-by-step explanation:

We are given the minute hand move from 1:15 to 1:30

Time for 1:30 to 1:30 = 15 minutes

Tip of minute hand move 15 cm in 15 minutes.

In 60 minutes = 360°

   In  1 minute = 6°

In 15 minutes = 90°

Formula: [tex]\theta=\dfrac{L}{r}[/tex]

[tex]\theta=90^\circ[/tex]

Now we change [tex]\theta=90^\circ[/tex] into radian

[tex]Radian=\dfrac{\pi}{180^\circ}\times 90^\circ=\dfrac{\pi}{2}[/tex]

L=15 cm

R = Length of minute hand.

[tex]\dfrac{\pi}{2}=\dfrac{15}{R}[/tex]

[tex]R=\dfrac{30}{\pi}\approx 9.5[/tex]

Hence, The length of minute hand is 9.5 cm

Final answer:

Using the Multiplication Principle, a customer can choose from 110 different complete lunch combinations by selecting one of each option (appetizer, soup, and entrée) from the menu at the New Shanghai restaurant.

Explanation:

To determine the total number of different complete lunches that can be ordered from the restaurant's lunch special menu, we apply The Multiplication Principle of counting. The principle states that if one event can occur in m ways and another independent event can occur in n ways, then the total number of ways both events can occur together is the product of m and n. In the context of ordering a lunch, each choice (appetizer, soup, and entrée) represents an independent event.

For appetizers, there are 5 choices.

For soups, there are 2 choices.

For entrées, there are 11 choices.

Following the Multiplication Principle, the total number of different complete lunches is calculated as follows:

5 appetizers × 2 soups × 11 entrées = 110 different complete lunches.

Therefore, customers have the opportunity to choose from 110 unique complete lunch combinations at the New Shanghai restaurant.

The coordinates of the other point of intersection with the y-axis will be (0, 9). And the x-intercept is at (3, 0).

Let r be the radius of the circle and the location of the center of the circle be (h, k).

Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

A circle with center (3,5).

Then the equation of the circle will be

(x - 3)² + (y - 5)² = r²

The circle intersects the y-axis at (0,1).

Then the radius of the circle will be

(0- 3)² + (1 - 5)² = r²

             9 + 16 = r²

                    r² = 25

                      r = 5

Then the equation of the circle will be

(x - 3)² + (y - 5)² = 5²

Then the other y-intercept of the circle (0, a) will be

(0 - 3)² + (a - 5)² = 5²

        9 + (a - 5)² = 25

              (a - 5)² = 16

                 a - 5 = 4

                       a = 9

The intersection of the circle with x-axis at (b, 0) will be

(b - 3)² + (0 - 5)² = 5²

     25 + (b - 3)² = 25

              (b - 3)² = 0

                 b - 3 = 0

                       b = 3

Thus, the coordinates of the other point of intersection with the y-axis will be (0, 9). And the x-intercept is at (3, 0).

The graph is given below.

More about the equation of circle link is given below.

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Answer:

[tex]40[/tex]  

Step-by-step explanation:

Let

x-------> the number

[tex]\frac{x}{100\%}=\frac{100}{250\%}[/tex]

[tex]x*250\%=100*100\%\\ \\x=10,000/250\\ \\x= 40[/tex]

1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet

  Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

   Area = 3*.5 = 1.5, 3*2=6,  6+1.5 = 7.5 square meters

3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

   Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches

4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards

Volume = π*6^2*20 = 2261.9 cubic yards

5.surface area = 2*(9*7+2*2+2*9) = 190 cm

 Volume = 2*7*9 = 126 cubic cm

6. surface area = 2*(11*11+11*11+11*11) = 726 mm

  Volume = 11 *11*11 = 1331 cubic cm

1. Area = 15 square feet

2. Area = 5.5 square meters

3. Area = 52.26 square inches

4. Surface area = 312π square yards, Volume = 720π cubic yards

5. Surface area = 127 square cm, Volume = 126 cubic cm

6. Surface area = 726 square mm, Volume = 1331 cubic mm

let's go through each problem step by step with proper calculations:

**Problem 1:**

Given:

Perimeter = 3 + 3 + 3 + 4 + 5 = 18 feet

Area calculations:

- For the triangle: Area = 1/2 × base × height = 1/2 × 3 × 4 = 6 square feet

- For the rectangle: Area = length × width = 3 × 3 = 9 square feet

Total Area = 6 + 9 = 15 square feet

**Problem 2:**

Given:

Perimeter = 2.5 + 2.5 + 2.5 + 2.5 + 0.5 + 0.5 = 11 meters

Area calculations:

- For the triangle: Area = 1/2 × base × height = 1/2 × 0.5 × 2 = 0.5 square meters

- For the rectangle: Area = length × width = 2.5 × 2 = 5 square meters

Total Area = 0.5 + 5 = 5.5 square meters

**Problem 3:**

Given:

Perimeter = 3.14 × 2 × 3 + 8 = 18.84 + 8 = 26.84 inches

Area calculations:

- For the rectangle: Area = length × width = 6 × 4 = 24 square inches

- For the circle: Area = π × radius² = 3.14 × 3² = 28.26 square inches

Total Area = 24 + 28.26 = 52.26 square inches

**Problem 4:**

Given:

Surface area calculations:

- For the cylinder:

 - Lateral Surface Area = 2 × π × radius × height = 2 × π × 6 × 20 = 240π square yards

 - Top and bottom circles: Area = 2 × π × 6² = 72π square yards

Total Surface Area = 240π + 72π = 312π square yards

Volume calculations:

- Volume = π × radius² × height = π × 6² × 20 = 720π cubic yards

**Problem 5:**

Given:

Surface area calculations:

- For the rectangular box:

 - Front and back: 9 × 7 = 63 square cm

 - Sides: 2 × (2 × 9) = 36 square cm

 - Top and bottom: 2 × (2 × 7) = 28 square cm

Total Surface Area = 63 + 36 + 28 = 127 square cm

Volume calculations:

- Volume = length × width × height = 9 × 7 × 2 = 126 cubic cm

**Problem 6:**

Given:

Surface area calculations:

- For the cube:

 - All faces are identical: 6 × (11 × 11) = 726 square mm

Volume calculations:

- Volume = side³ = 11³ = 1331 cubic mm

That is correct. On APEX its C. g(x)= 1/3 |x|

The third constraint was based on the total area that the garden can only take. Now the last constraint must be based on the total cost that should be spend in order to make a 500 square feet of garden, that is:

4 z + 3 p ≤ 600