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2 years ago

Write 9.054 X 10-6 in standard form.

Mathematics

1 answer:

Kryger [21]2 years ago

3 0

Answer:

0.000009054

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Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge

dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

$f(x)=ax^2+bx+c.$

Then

1. $f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;$

2. $f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;$

3. $f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.$

Solve the system of two equations:

$\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.$

Then

$22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.$

Thus, the equation of the function is

$f(x)=-\dfrac{1}{2}x^2+6x+2.$

Note that

$f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;$

$f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.$

8 0

2 years ago

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Find perimeter of regular pentagon is 100 inches. Find the length of each side.

Sergio [31]

A regular pentagon is a polygon with five sides of equal length.

The perimeter of a regular polygon is the number of sides (n) multiplied by the length of one side (s).

P=ns
100=5s
s=20

The length of each side is 20 inches

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2 years ago

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In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel

Liula [17]

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

μₓ = mean of variable x (rainfall in inches)

μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

when x = 7.1

y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.

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2 years ago

Jenna's heart rate is 60 beats per minute. If Jenna's heart beat 747,533 times, how much time has elapsed? Give your answer in d

olganol [36]

Answer:

Days- 9

Hours- 208

Minutes- 12,459

Step-by-step explanation:

For minutes,

747,533 ÷ 60 = 12,458.883 ≈ 12,459 minutes

For hours,

60 minutes to pass an hour so, 60 × 60 = 3600 minutes

747,533 ÷ 3600 = 207.648 ≈ 208 hours

For days,

1 day = 24 hours

1 hour = 3600 beats

24 × 3600 = 86400

747,533 ÷ 86400 = 8.652 ≈ 9 days

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2 years ago

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Rational number 3 by 40 is equals to

kkurt [141]

Answer:

6/80, 9/120, 12/160 etc

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2 years ago

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