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3 years ago

A(n) __________ is the simplest function of its type.

Mathematics

1 answer:

larisa [96]3 years ago

6 0

Answer: Basic Function

Step-by-step explanation: Why Basic Function is the simplest function type because then you can do functional things more similar and easier

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If n = 5 and r = 3 Find "Cr.

Marat540 [252]

Answer:

Cr = 10

Step-by-step explanation:

To calculate combinations we use the nCr formula: nCr = n! / r! * (n - r)!, where n = number of items, and r = number of items being chosen at a time.

$C(n,r)=[?]$

$C(n,r)=C(5,3)$

$=\frac{5}{(3!(5-3)!)}$

$=\frac{5!}{3!*2!}$

$=10$

[RevyBreeze]

3 0

3 years ago

Read 2 more answers

Nine less than the product of 8 and a number equal 7

Andreas93 [3]

Answer:

Step-by-step explanation:

8n - 9 = 7

8n = 16

n = 2

3 0

3 years ago

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

julian earns $13.50 per hour. His company deducts 23% of his pay each week for taxes. Julian uses the expression 0.77 ( 13.50h)

fenix001 [56]

If Julian works 40 hours per week and you would like to know what are his earnings after taxes, you can calculate this using the following steps:

per one hour: 0.77 * (13.50 * 1h) = 0.77 * 13.50 = $10.395
per 40 hours: 0.77 * (13.50 * 40h) = 0.77 * 13.50 * 40 = $415.8

Result: His earnings after taxes will be $415.8.

3 0

3 years ago

Read 2 more answers

Instructions: Find the missing side. Round your answer to the<br> nearest tenth

Arlecino [84]

Answer:

Step-by-step explanation:

To find x we use tan

tan∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 30

So we have

tan 25° = 30/x

x tan 25 = 30

Divide both sides by tan 25

x = 30/tan 25

x = 64.34

x = 64 to the nearest tenth

Hope this helps you

6 0

3 years ago