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iragen [17]
3 years ago
13

Evaluate each expression.

Mathematics
2 answers:
Kitty [74]3 years ago
8 0
The fraction form is 125/343

the decimal form is 0.36
GREYUIT [131]3 years ago
7 0

Answer:

125/343

Step-by-step explanation:

This question asks for us to evaluate: (5/7)³

  • When a number has an exponent, the number gets multiplied by itself according to the amount of the exponent.

(5/7)³

- 5/7 x 5/7 x 5/7

= 25/49 x 5/7

= 125/343

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An insurance company charges Ted $1400 per year for insurance on his home. The company has predicted that there is a 10% chance
Lyrx [107]

Answer:

The insurance company can expect to make $900 on the policy

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence    {}                 Probability        Value                                   v × p

A claim is made  {}          0.1                  $5,000 - $1,400 = -$3,600    -$360

No claim  {}                      0.9  {}               $1,400                                     $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900                                                                                      

3 0
3 years ago
Jonny has 12 paper clips. Each paperclip Is 3/4 of an inch long. If we were to link them all together to make a long chain of pa
Lapatulllka [165]

Answer:

9 inches

Step-by-step explanation:

Take the number of paperclips and multiply by the length of one paperclip

12 * 3/4

36/4

9 inches

6 0
3 years ago
PLS ANSWER!!!!!!!!!!!! Mrs. Cardona has 23 of a pan of lasagna left. She wants to divide it into 6 equal pieces for her family.
olya-2409 [2.1K]

Answer:

1/9 pan of lasagna

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
20 POINTS
Fantom [35]
83 + 96 + 88 = 267

267 / 3 = 89

(89 + x) / 2 = 90

Multiply both sides by 2.

89 + x = 180

Subtract 180 - 89.

x = 91
4 0
3 years ago
A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume of paint needed. Assume tha
Mariulka [41]

Answer:

V = 63π / 200  m^3

Step-by-step explanation:

Given:

- The function y = f(x) is revolved around the x-axis over the interval [1,6] to form a spherical surface:

                                 y = √(42*x - x^2)

- The surface is coated with paint with uniform layer thickness t = 1.5 mm

Find:

The volume of paint needed

Solution:

- Let f be a non-negative function with a continuous first derivative on the interval [1,6]. The Area of surface generated when y = f(x) is revolved around x-axis over the interval [1,6] is:

                           S = 2*\pi \int\limits^a_b { [f(x)*\sqrt{1 + f'(x)^2} }] \, dx

- The derivative of the function f'(x) is as follows:

                            f'(x) = \frac{21-x}{\sqrt{42x-x^2} }

- The square of derivative of f(x) is:

                            f'(x)^2 = \frac{(21-x)^2}{42x-x^2 }

- Now use the surface area formula:

                           S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2} *\sqrt{1 + \frac{(21-x)^2}{42x-x^2 } }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+(21-x)^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+441-42x+x^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{441} }] \, dx\\S = 2*\pi \int\limits^6_1 { 21} \, dx\\\\S = 42*\pi \int\limits^6_1 { dx} \,\\\\S = 42*\pi [ 6 - 1 ]\\\\S = 42*5*\pi \\\\S = 210\pi

- The Volume of the pain coating is:

                           V = S*t

                           V = 210*π*3/2000

                          V = 63π / 200 m^3

8 0
4 years ago
Read 2 more answers
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