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Talja [164]
3 years ago
7

Select the postulate that is illustrated for the real numbers.

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

The correct answer is distributive postulate.

Step-by-step explanation:

Look at the expression we have given:

3x + 3 = 3(x + 1)

And we are asked that which postulate is illustrated for the real numbers.

We know that the distributive property of multiplication states that we can multiply a sum of numbers by multiplying each addend separately and finally add the products.

a*(b+c)= a*b+a*c

where a,b and c are real numbers.

3(x+1)= 3*x+3*1 = 3x+3

Therefore the correct option is distributive postulate....

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A 3 inch radius circle is drawn inside a 7 inch radius circle. If you throw a dart at these circles, what is the probability you
lorasvet [3.4K]

Answer:

Step-by-step explanation:

The first step is to determine the areas of the inner and the bigger circles.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the inner circle,

diameter = 148.4 cm

Radius = 3 inches

Area = 3.14 × 3² = 28.26 inches²

Considering the bigger circle,

Radius = 7 inches

Area = 3.14 × 7² = 153.86 inches²

The area between the bigger and inner circles is

153.86 - 28.26 = 125.6 inches²

Probability = number of favourable outcome/number of total outcome.

the probability you land inside the bigger circle but outside smaller circle is

125.6/153.86 = 0.82

3 0
3 years ago
A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs
snow_tiger [21]
It is 3 copies per magazine
4 0
3 years ago
An adult brain is about 140 mm wide and divided into two sections (called "hemispheres" although the brain is not truly spherica
Sedbober [7]

Answer: 3.61×10^5 A

Step-by-step explanation: Since the brain has been modeled as a current carrying loop, we use the formulae for the magnetic field on a current carrying loop to get the current on the hemisphere of the brain.

The formulae is given below as

B = u×Ia²/2(x²+a²)^3/2

Where B = strength of magnetic field on the axis of a circular loop = 4.15T

u = permeability of free space = 1.256×10^-6 mkg/s²A²

I = current on loop =?

a = radius of loop.

Radius of loop is gotten as shown... Radius = diameter /2, but diameter = 65mm hence radius = 32.5mm = 32.5×10^-3 m = 3.25×10^-2m

x = distance of the sensor away from center of loop = 2.10 cm = 0.021m

By substituting the parameters into the formulae, we have that

4.15 = 1.256×10^-6 × I × (3.25×10^-2)²/2{(0.021²) + (3.25×10^-2)²}^3/2

4.15 = 13.2665 × 10^-10 × I/ 2( 0.00149725)^3/2

4.15 = 1.32665 ×10^-9 × I / 2( 0.000058)

4.15 × 2( 0.000058) = 1.32665 ×10^-9 × I

I = 4.15 × 2( 0.000058)/ 1.32665 ×10^-9

I = 4.80×10^-4 / 1.32665 ×10^-9

I = 3.61×10^5 A

3 0
3 years ago
I HONESTLY NEED HELP!!
Natali5045456 [20]

Answer:

B

Step-by-step explanation:

an additional hour of walking is associated with an additional 0.7 mile walk

7 0
3 years ago
3. Paula commutes 60 km each day for work, five days a week, nine months of the year. She travels 720
bezimeni [28]

Answer:

16,080 km.

Step-by-step explanation:

We want the total number of kilometers in one year.

so

4 weeks /month.

for Work:   9 months in the year  60 km/day  5 days/week

Family Visit :  720 km for 4 times a year

Personal:  200 km / month

Work total = 60 km/day * 5 days/week * 4week/month * 9 months

WorkTotal= 60*5*4*9 = 10,800 km

FamilyTotal= 4*720 = 2880 km

Personal = 200*12 = 2400 km

Total = 10,800 + 2880 + 2400 = 16,080 km

7 0
3 years ago
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