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Arada [10]
3 years ago
7

F(x)=3x+2 and g(x)=x exponent 2 minus x . g(2) =

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0
G(x)=x²-x

g(2)=2²-2

g=4-2

g=2 
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Hannah estimated that a bottle could hold 2.2 liters. The actual volume of the bottle was 2 litters. What was the percent error
MrRa [10]

Answer:

I dont have a direct answer but i think i can help.

Step-by-step explanation:

For example, 2%, read "percent", is two every hundred. When we have 100 liters of water, 2% is 2 liters. If we have 200 liters of water, then 2% is 4 liters. Converting a percentage into a fraction can be done by dividing by 100, following the definition of a percentage.

4 0
3 years ago
Hey someone who knows this want to give me the answer thanks
Gnesinka [82]
C is the answer. Hope this helps!
4 0
3 years ago
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Simone measures the width of one of cardboard strip as 1/2 yard. A second cardboard strip measures 5/6 yard in width. Estimate t
Zepler [3.9K]

Answer:

The correct option is C. About 1 on the side with the 1 on top and 4 on the bottom yard.

Step-by-step explanation:

Consider the provided information.

Simone measures the width of one of cardboard strip as 1/2 yard.

A second cardboard strip measures 5/6 yard in width.

We need to find the combined width.

The combined width of the cardboard strip:

\frac{1}{2} + \frac{5}{6}=\frac{8}{6}=1\frac{1}{3}

1\frac{1}{3} is closer to1\frac{1}{4} as compare to 1\frac{1}{2}

Hence, the correct option is C. About 1 on the side with the 1 on top and 4 on the bottom yard.

3 0
3 years ago
A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r
svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, h^2 + b^2 = 16^2 = 256 \dotsc\;(1) because it is a right angle triangle.

It is given that \frac{db}{dt} = 1

Now differentiate (1) with respect to t (time) :

\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}

\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that 16 \sin{\theta} = b. When b = 8, then \theta = \arcsin{0.5} = \ang{30}.

Differentiate the above equation w.r.t t

\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}

c. The area of the triangle is given by A = 0.5\times h \times b. Differentiating w.r.t t,

\displatstyle{\frac{dA}{dt} = 0.5 b \frac{dh}{dt} + 0.5 h \frac{db}{dt}}

Plugging in b = 8, h = 13.856, \frac{dh}{dt} = -0.588,

\frac{dA}{dt} = -2.352 + 6.928 = \mathbf{4.576 ft^2/sec}

8 0
4 years ago
Help me out here please! Thanks.
leva [86]

Answer:

A. \frac{1}{5} log_{3}x +log_{3}y

Step-by-step explanation:

We have the expression

log_{3} (\sqrt[5]{x} *y)

As these two values are being multiplied, we can separate the two and the sum of them will be equal to the multiplied version

log_{3}\sqrt[5]{x} +log_{3}y

The \sqrt[5]{x} can be rewritten as x^{\frac{1}{5} }. This allows us to use the exponent rule. This means that it can be written as

\frac{1}{5} log_{3}x +log_{3}y

3 0
3 years ago
Read 2 more answers
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