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3 years ago

8

oil is leaking out of a tank. the depth of oil in the tank for 60 seconds is shown below. use the graph to work out the rate of

decrease of depth, in cm/s, at 10 seconds. you must show your working.

1 answer:

FrozenT [24]3 years ago

3 0

Answer:

Step-by-step explanation:

draw a tangent starting from (0,80) and touches at (10,60)... Example attached if needed... Good Luck! ;)

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84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

4 0

4 years ago

a rectangular field is 45 feet wide and is enclosed by 210 feet of fencing what is the area of the field in square feet

Helen [10]

Find the length of the field first. To do this, write a formula for the perimeter, P, of the field: P = 210 ft = 2(45 ft) + 2L.

Then 2L = 210 - 90 = 120, and L = 60 (feet).

The area of the field is thus WL = (45 ft)(60 ft) = 2700 sq ft

7 0

3 years ago

2 = x-3, then x equals

spayn [35]

Answer:

x = 5

Step-by-step explanation:

2 = x-3

<em>Adding 3 to both sides</em>

2+3 = x

5 = x

<u><em>OR </em></u>

x = 5

4 0

3 years ago

Read 2 more answers

Simplify 9x + 4y -4y -3x +5y

irinina [24]

9x+2y

Hope that helps :)

5 0

3 years ago

Sin a ______ = 1/2 [ sin ( a + b ) + sin ( a - b) ]

Neko [114]

Answer:

Cos b

Step-by-step explanation:

1/2[sin(a+b)+sin(a-b)]

1/2[sin a cos b +cos a sin b + sin A cos B - cos A sin B]

1/2[2sin a cos b]

sin a cos b

6 0

4 years ago