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3 years ago

3. Compare the fraction by using the symbol <, <, or =.

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

7 0

Answer:

a >

b =

c >

d <

Step-by-step explanation:

hope this helps

suter [353]3 years ago

5 0

Answer:

I got you.

Step-by-step explanation:

A. >

B. =

C. >

D. <

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This app is so bad nowadays. No one answers your questions and if they do they respond with useless links...

weeeeeb [17]

Answer:

I know. It's a pain. I just put tons of points on and that seems to attract people.

Step-by-step explanation:

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3 years ago

Yesterday marcel walked 9,648 steps .this number in expanded form is

Natalka [10]

Answer:

The number 9,648 in expanded form is '9,648 = 9,000 + 600 + 40 + 8'.

Step-by-step explanation:

Expanded form is a way to expand a number in addition form. Since the '9' is in the thousands place, it's value will be 9,000. With 6 in the hundreds place, it's value will be 600. This will occur the same thing with the tens and the ones place. Now, the answer to the question is explained below.

=> 9,648 = 9,000 + 600 + 40 + 8

Hence, the number 9,648 in expanded form is '9,648 = 9,000 + 600 + 40 + 8'.

Hoped this helped.

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2 years ago

consider a polynomial f(x)=ax^3 + bx^2 + x + 2/3.if x + 3 is a factor of f(x) and f(x) is divided by x + 2, then we get remainde

Elanso [62]

Answer:

a = 2/27

b = 13/27

Step-by-step explanation:

The given polynomial is presented as follows;

f(x) = a·x³ + b·x² + x + 2/3

Given that x + 3 is a factor, we have;

f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0

-27·a + 9·b - 3 + 2/3 = 0

-27·a + 9·b = 7/3........(1)

Also we have

(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5

Therefore;

a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5

-8·a + 4·b - 2 + 2/3 = 5

-8·a + 4·b = 2 - 2/3 = 4/3........(2)

Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;

-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3

-8·a + 12·a = 8/27

4·a = 8/27

a = 2/27 ≈ 0.0741

imputing the a value in equation (1) gives;

-27×2/27 + 9·b = 7/3

-2 + 9·b = 7/3

9·b = 7/3 + 2 = 13/3

b = 13/27 ≈ 0.481.

6 0

3 years ago

Among fatal plane crashes that occurred during the past 55 years, 415 were due to pilot error, 96 were due to other human err

azamat

Answer:

Relative frequency:

$\text{Pilot error}=415/1370=0.30\\\\\text{Other human error}=96/1370=0.07\\\\\text{Weather}=169/1370=0.12\\\\\text{Mechanical problems}=622/1370=0.45\\\\\text{Sabotage}=68/1370=0.05\\\\$

The most serious threat to aviation safety is, according to this data, "mechanical failures". It can be improved by more rigorous inspection and better maintenance policies and execution.

Step-by-step explanation:

We have the data for fatal plane crashes. The sum of plane crashes is

We can calculate the relative frequency as:

$\text{Pilot error}=415/1370=0.30\\\\\text{Other human error}=96/1370=0.07\\\\\text{Weather}=169/1370=0.12\\\\\text{Mechanical problems}=622/1370=0.45\\\\\text{Sabotage}=68/1370=0.05\\\\$

We can see that the most frequent cause is "mechanical problems", with a relative frequency of 0.45.

4 0

3 years ago

A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much

lakkis [162]

Answer:

213,645.6cm³

Step-by-step explanation:

Area of a cylinder is expressed as;

V = πr²h

r is the radius = 2cm

h is the height = 70cm

Get the volume of one rod;

V = πr²h

V = (3.14)(2)²(70)

V = (3.14)(4)(70)

V = 879.2cm³

one steel = 879.2cm³

243 rods = x

Cross multiply;

x = 879.2 * 243

x = 213,645.6

The company will need 213,645.6cm³ volume of steel to make 243 rods

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3 years ago