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3 years ago

What type of number is root of 50

Mathematics

2 answers:

kirill [66]3 years ago

7 0

Irrational Number

You can tell this easily because the square root of 50 isn't a perfect number.

koban [17]3 years ago

4 0

Answer:

√50 is an irrational number

Step-by-step explanation:

$\sqrt{50} = 7.071067......$

Here,

√50 is an irrational number

Because-

we can't write the number (7.071067....) as a fraction .
The number has endless non-repeating digits to the right of the decimal point.

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A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

$V = \frac{\pi}{3}r^2h$

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

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3 years ago

2 3/4 divided by 1/2 ?

Vladimir [108]

Answer:

5.5

Step-by-step explanation:

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2 years ago

A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c

Lana71 [14]

Answer:

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Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

$n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q }{E^2}$

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

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Round up to the next number, giving you 405.

6 0

3 years ago

A garden table and a bench cost $450 combined. The cost of the garden table is two times the cost of the bench. What is the cost

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3 years ago

Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for

Zolol [24]

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

15 cups of honey beans

9 cups carrots

12 cups cherry tomato

192 oz. vegetable broth

10.5 cup turnips

6 teaspoon salt

8 cups potato onions

1.25 teaspoons thyme

12 teaspoons garlic

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

The recipe for the beans soup is as follows as obtained from an online home work document are;

Vegetable Bean Soup that Serves 4 with volume of 0. $\overline 3$ gallons

1.25 cups of honey beans

0.75 cup carrots

1 cup cherry tomato

16 oz. vegetable broth

0.875 cup turnips

0.5 teaspoon salt

$0.\overline 6$ cup potato onions

0.125 teaspoon thyme

1 teaspoon garlic

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

$Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12$

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0. $\mathbf{\overline 3}$ gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × $0.\overline 6$ = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

15 cups of honey beans

9 cups carrots

12 cups cherry tomato

192 oz. vegetable broth

10.5 cup turnips

6 teaspoon salt

8 cups potato onions

1.25 teaspoons thyme

12 teaspoons garlic

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2 years ago