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ANTONII [103]
3 years ago
6

H(t)=(t+3)

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

0

Step-by-step explanation:

h(t) = (t + 3)² + 5, -5 ≤ t ≤ -1

The average rate of change is the change in h over the change in t.

(h(-1) − h(-5)) / (-1 − (-5))

= ((-1 + 3)² + 5 − ((-5 + 3)² + 5)) / (-1 + 5)

= (4 + 5 − 4 − 5)) / 4

= 0

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Nastasia [14]

Answer:

(x-2)^2+(y+5)^2=36

Step-by-step explanation:

Recall that the equation of a circle of radius R centered at (x_0,y_0) is given by:

(x-x_0)^2+(y-y_0)^2=R^2

For your particular case: R = 6, x_0 = 2, and y_0 = -5, therefore the equation becomes:

(x-x_0)^2+(y-y_0)^2=R^2\\(x-2)^2+(y-(-5))^2=6^2\\(x-2)^2+(y+5)^2=36

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3 years ago
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3 years ago
The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

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Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

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x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

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x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

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3 0
3 years ago
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7 0
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Ludmilka [50]

Answer:

600 numbers

Step-by-step explanation:

For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.

However, 0 cannot be used as the first digit, because it would make a 5-digit number.

Therefore

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for a total of 5*5*4*3*2*1 = 600 numbers

6 0
3 years ago
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