MATHEMATICS COLLEGE

Over the course of a multi-stage 4510-km bicycle race, the front wheel of an athlete's bicycle makes 1.70x106 revolutions. How many revolutions would the wheel have made during the race if its radius had been 1.3 cm larger

Answers

Answer 1

Answer:

Answer:

The wheel have made $2.10 * 10^(6) m$ revolutions.

Step-by-step explanation:

The total distance traveled during the race is

D = 4510km [(1000m)/(1km)] = $4510 * 10^(3) m$

The radius (r1) of the smaller bicycle wheel is

r1 = $(D)/(2*pi*N1) = (4510 * 10^(3) m )/(2*pi*(2.18*10^(6)) ) =0.329 m$

Than the larger wheel has a radius

r2 = 0.329 m + 0.012 m = 0.341 m

Over the same distance this wheel would make N2 revolutions

N2 = $(D)/(2*pi*r2) = (4510 * 10^(3) m )/(2*pi*(0.341) ) = 2.10 * 10^(6) m$

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Answers

A' = (0,0)
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Zinfandel is a popular red wine varietal produced almost exclusively in California. It is rather controversial among wine connoisseurs because its alcohol content varies quite substantially from one producer to another. In May 2013, the author went to a certain website, randomly selected 10 zinfandels from among the 325 available, and obtained the following values of alcohol content (%). 14.9 14.5 16.2 14.3 15.9
13.7 16.2 14.6 13.9 15.1
A. Calculate the interpret several measures of center.
B. Calculate the sample variance using the defining formula.

Answers

Answer:

Kindly check explanation

B) 0.829

Step-by-step explanation:

Given the data :

% Alcohol content of 10 zindafel wine

14.9 14.5 16.2 14.3 15.9

13.7 16.2 14.6 13.9 15.1

Sorted value : 13.7, 13.9, 14.3, 14.5, 14.6, 14.9, 15.1, 15.9, 16.2, 16.2

Range = maximum - minimum

Range = 16.1 - 13.7

n = number of samples = 10

Median = 1/4(n + 1)th term

Median = 1/4(10+1)th term = 11/4 = 2.75 th term

(14.3 + 14.5) / 2 = 28.8 /2 = 14.40

Mode = 16. 2 ( most occurring observation)

Mean(m) = (13.7 + 13.9 + 14.3 + 14.5 + 14.6 + 14.9 + 15.1 + 15.9 + 16.2 + 16.2) / 10

= 149.3 / 10

= 14.93

Wil someone help me convert all of these to metric, for those that can be.3 tablespoons vegetable oil
1 1/2 pounds skinless boneless chicken breast
Salt and pepper
2 teaspoons cumin powder
2 teaspoons garlic powder
1 teaspoon Mexican Spice Blend
1 red onion, chopped
2 cloves garlic, minced
1 cup frozen corn, thawed
5 canned whole green chiles, seeded and coarsely chopped
4 canned chipotle chiles, seeded and minced
1 (28-ounce) can stewed tomatoes
1/2 teaspoon all-purpose flour
16 corn tortillas
1 1/2 cups enchilada sauce, canned 1 cup shredded Cheddar and Jack cheeses

Answers

Approximate conversions for cooking are ...

1 tsp ≈ 5 mL, so 1/2 tsp is about 2.5 mL

1 Tbsp ≈ 15 mL

1 cup ≈ 240 mL, so 1 1/2 cups ≈ 355 mL*

1 1/2 lb ≈ 680 g

_____

* 1 cup is about 236.6 mL.

_____

Many cookbooks have tables of equivalents.

2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diverabove the water and x is the horizontal distance from the diving board (in feet). How far from the
end of the diving board is the diver when he hits the water?

Answers

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^(2) + bx + c, a\neq0$ .

This polynomial has roots $x_(1), x_(2)$ such that $ax^(2) + bx + c = (x - x_(1))*(x - x_(2))$ , given by the following formulas:

$x_(1) = (-b + √(\bigtriangleup))/(2*a)$

$x_(2) = (-b - √(\bigtriangleup))/(2*a)$

$\bigtriangleup = b^(2) - 4ac$

In this problem, we have that:

$y = 2x^(2) - 9x - 56$

$2x^(2) - 9x - 56 = 0$

$a = 2, b = -9, c = -56$

Then

$\bigtriangleup = b^(2) - 4ac = (-9)^(2) - 4*2(-56) = 529$

$x_(1) = (-(-9) + √(529))/(2*2) = 8$

$x_(2) = (-(-9) - √(529))/(2*2) = -3.5$

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

What is the total cost of a 12.50 item plus 6% sales tax?

Answers

So firstly, we have to determine what 6% of $12.50 is. You can do this by multiplying 12.50 and 6% (or 0.06 in decimal form) to get 0.75, or 75 cents. 75 cents is your 6% sales tax.

Next, add up 12.50 and 0.75 to get $13.25. $13.25 is the total cost of the item.

Answer:

13.25

Step-by-step explanation:

brainliest pls

When Steve woke up his temperature was 102 degrees. Two hours later it was 3 degrees lower. What was his temperature then?