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2 years ago

What is 5% of $40.00?

Mathematics

1 answer:

iogann1982 [59]2 years ago

4 0

Answer:

Step-by-step explanation:

40 x 0.05 = 2

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Select the two descriptions that match the dilation

postnew [5]

C and D

Hope this helps !

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3 years ago

What evidence of climate change on continents supports the theory of continental drift?

77julia77 [94]

Answer:

sorry i was late but the answer is 100% A

Step-by-step explanation:

i just took the test made 100

7 0

3 years ago

Kamal bought a package of 2 oatmeal cookies. The total weight of the cookies was 1 ounce. How much did each cookie weigh?

worty [1.4K]

Answer: 0.5 oz is the weight of one cookie

Step-by-step explanation: If 2 cookies weight 1 oz then 1 cookie weights 0.5 oz.

4 0

3 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

Please answer the question below

Hatshy [7]

Answer:

Step-by-step explanation:

The maximum value occurs at gradient 0 (the stationary point).

In f this has a value (y) of 6.

In the equation example we have to differentiate:

dg(x)/dx = -x + 4

Gradient is 0 so 4 - x = 0 so x = 4

Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11

11 > 6 so g has greater maximum.

7 0

3 years ago