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3 years ago

Every 3 seconds , 4 cubic feet of water pass under the bridge. what is the unit rate?

Mathematics

1 answer:

svetoff [14.1K]3 years ago

7 0

12 would be the unit rate you mulitply 3 × 4

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The bakery made 92 muffins 17 or a blueberry 23 with cranberry and the rest of the chocolate chip how many chocolate chip muffin

astra-53 [7]

If there are 92 muffins in total and 17 are blueberry, and 23 are cranberry then the remaining muffins (chocolate chip) is 52 muffins.

3 0

3 years ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 − 2x + 1, [0, 2] Yes, it do

expeople1 [14]

Answer:

Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable

Step-by-step explanation:

We are given the Function

f(x) = $3x^2 -2x +1$

The two basic hypothesis of the mean valued theorem are

The function should be continuous in [0,2]

The function should be differentiable in (1,2)

upon checking the condition stated above on the given function

f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph

also the f(x) is differentiable in (0,2)

f'(x) = 6x - 2

Now the function satisfies both the conditions

so applying MVT

6x-2 = f(2) - f(0) / 2-0

6x-2 = 9 - 1 /2

6x-2 = 4

6x=6

x=1

so this is the tangent line for this given function.

4 0

3 years ago

Need help for 2 and 3 fast

gulaghasi [49]

Answer:

$2^{-4}$ = 1/16

$6^{-5}$ × $6^{5}$ = 1

Step-by-step explanation:

$2^{-4}$ = 0.0625

0.0625 = 1/16

$6^{-5}$ × $6^{5}$ = 1

3 0

3 years ago

Read 2 more answers

The length of an object in feet is equal to three times it's links in yards. The length of a waterslide is 48 feet. Right and so

disa [49]

Formula:

1 yard = 3 feet

x yards = 48 feet

Equation:

48 / 3 = x

3 0

3 years ago

Helpppppppppppppppppppppp

castortr0y [4]

Answer: second option y = 2(x + 7/2)^2 + 1/2

Explanation:

1) given:

y = (x + 3)^2 + (x + 4)^2

2) expand the binomials:

y = x^2 + 6x + 9 + x^2 + 8x + 16

3) add like terms:

y = 2x^2 + 14x + 25

4) take common factor 2 of the first two terms:

y = 2 (x^2 + 7x) + 25

5) complete squares for x^2 + 7x

x^2 + 7x = [x +(7/2)x ]^2 - 49/4

6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:

y = 2 [ (x + 7/2)^2 - 49/4] + 25

7) take -49/4 out of the square brackets.

y = 2 (x + 7/2)^2 - 49/2 + 25

8) add like terms:

y = 2(x + 7/2)^2 + 1/2

And that is the vertex for of the given expression.

7 0

3 years ago