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katrin2010 [14]
3 years ago
13

Whats 45.678 in epanded form

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
In expanded form, 45.678 is:

40 + 5 + 0.6 + 0.07 + 0.008
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The hypotenuse of a right triangle is 25 feet long The height of the right triangle is shrinking at a rate of 1 ft/week. What is
Lesechka [4]

9514 1404 393

Answer:

  increasing 7/24 ft per week

Step-by-step explanation:

An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.

If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...

  b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)

Then the rate of change of b with respect to x is ...

  b' = (-2x +14)/(2√(-x^2 +14x +576))

When x=0, the rate of change of the base is ...

  b' = 14/(2√576) = 7/24

The base is increasing 7/24 ft per week when the height is 7 ft.

8 0
2 years ago
Refer to the data in the table below to answer the question. (Express percents to the nearest tenth.) You will use some of the a
AnnZ [28]

Answer:Ask your teacher for help!

Step-by-step explanation:

Learn your math and pay attention then you’d know!

4 0
1 year ago
Which expressions are equivalent to <br> 4(4a+5)4(4a+5)
SSSSS [86.1K]

Answer:

(384a+400)

Step-by-step explanation:

4(4a+5)4(4a+5)

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then multiply the two ( )( )

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3 0
2 years ago
Evaluating a piece wise defined function
snow_tiger [21]

Given : If x ≠ -2 then f(x) = \frac{3}{4}x - 1

As -5 ≠ -2 ⇒ f(-5) = \frac{3}{4}(-5) - 1 = (\frac{-15}{4} - 1) = \frac{-19}{4}

Given : if x = -2 then f(x) = -1

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Given : If x ≠ -2 then f(x) = \frac{3}{4}x - 1

As 2 ≠ -2 ⇒ f(2) = \frac{3}{4}(2) - 1 = (\frac{3}{2} - 1) = \frac{1}{2}

8 0
3 years ago
John is 24 years old. Two years ago, he was twice Shane's age at that time. How old is Shane now?
gtnhenbr [62]

Answer:

Present age of john= 24 years

Let Shane's age= x years

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Shane's age = (x-2) years

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⇒22= 2(x-2)

⇒22= 2 x- 4

⇒22+4 = 2 x

⇒ 2 x= 26

⇒ x= 26÷2

⇒ x =13

Present age of son = 13 years




7 0
3 years ago
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