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3 years ago

Write this number in expanded form 73,489

Mathematics

1 answer:

mart [117]3 years ago

3 0

the answer is 70,000+3,000+400+80+9

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Let f(x)=(8x^4-3)^3 and g(x)=8x^4-3 given that f(x)=(h g)(x) , find h(x)

Harman [31]

<u>Answer:</u>

$h(x) = x^{3}$

<u>Step-by-step explanation:</u>

$f(x) = (8 \times x^{4}- 3)^{3}$ ------------(1) (given)

$g(x) =(8 \times x^{4}- 3)$ -------------(2) (given)

so,

f(x) = h(g(x)) (given)

= $(g(x))^{3}$ -----(from (1) and (2))

⇒ $h(k) = k^{3}$ -----(taking g(x) = k)

⇒ $h(x) = x^{3}$ is the function.

8 0

3 years ago

How many units long is a segment whose endpoints are (2,3) and (7,15)?

Ahat [919]

Answer:

13 units

Step-by-step explanation:

Distance formula: $d = \sqrt{(x2-x1)^2 + (y2-y1)^2}$

Simply plug in your variables

$d = \sqrt{(7-2)^2 + (15-3)^2}$

$d = \sqrt{5^2 + 12^2}$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

d = 13

5 0

3 years ago

Please see attached picture for question:

Tasya [4]

10^2x²-3=10^9-x²

by comparison,

2x²-3=9-x²

3x²=12

x²=4

x= 2 or -2

4 0

3 years ago

The problem of matching aircraft to passenger demand on each flight leg is called the flight assignment problem in the airline i

Darina [25.2K]

Answer:

Step-by-step explanation:

Given that the demand for the 6 p.m. flight from Toledo Express Airport to Chicago's O'Hare Airport on Cheapfare Airlines is normally distributed with a mean of 132 passengers and a standard deviation of 42

Let X be the no of passengers who report

X is N(132, 42)

Or Z is $\frac{x-132}{42}$

a) Suppose a Boeing 757 with a capacity of 183 passengers is assigned to this flight.

the probability that the demand will exceed the capacity of this airplane

= $P(X>183) = P(Z>1.21) =$

$=0.5-0.3869\\=0.1131$

b) the probability that the demand for this flight will be at least 80 passengers but no more than 200 passengers

= $P(80\leq x\leq 200)\\= P(-1.23\leq z\leq 1.62)\\$

=0.4474+0.3907

=0.8381

c) the probability that the demand for this flight will be less than 100 passengers

$=P(x$

d) If Cheapfare Airlines wants to limit the probability that this flight is overbooked to 3%, how much capacity should the airplane that is used for this flight have? passengers

= $P(Z>c)=0.03\\c=1.88\\X=132+1.88(42)\\=210.96$

e) 79th percentile of this distribution

= $132+0.81(42)\\= 166.02$

7 0

3 years ago

ILL GIVE BRAINLIEST PLEASE HELP ASAP PLS

postnew [5]

Answer:

5/12 of rain came, or 10 inches

Step-by-step explanation:

complete rain be 1

then, =1-(1/4+1/3)

=1-(3+4/12) take lcm

=1-7/12

=12-7/12 again lcm

= 5/12

1/4 of 24 inches means 1/4×24= 6 inches

1/3 of 24 inches, then 1/3×24= 8 inches

therefore, rest of the months get

= 24-(6+8)

=24-14

=10 inches

7 0

3 years ago