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Serggg [28]
4 years ago
11

Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th

is week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
Mathematics
1 answer:
Allisa [31]4 years ago
6 0

Answer:

3 1/4 + 2x ≥ 6

Step-by-step explanation:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

I hope this helps you :)

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Austin has $75 to spend on sporting goods. He wants to buy a soccer ball for $12 and spend the rest of the money on soccer short
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4

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Let f be a function of two variables that has continuous partial derivatives and consider the points
Sergeu [11.5K]

Answer:

The directional derivative of f at A in the direction of \vec{u} AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector \vec{u}=(a,b) is denoted by D\vec{u}f(x,y),

D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b.

Now the given points are

A(8,9),B(10,9),C(8,10) and D(11,13),

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)

AC=(8-8,10-9), the direction is

\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)

AC=(11-8,13-9), the direction is

\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5}  \right )

Step 3:

The given directional derivative of f at A \vec{u}_{AB} is 9,

D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9

The given directional derivative of f at A \vec{u}_{AC} is 2,

D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2

The given directional derivative of f at A \vec{u}_{AD} is

D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}

D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}

D\vec{u}_{AD}f= \frac{27+8}{5} =7

The directional derivative of f at A in the direction of  \vec{u}_{AD} is  7.

3 0
3 years ago
I can quite figure out how to go about this problem l, we are writing equations by defining a variable, writing an equation, the
galben [10]

Answer:

14 ft

Step-by-step explanation:

Let x represent the number of segments of the divided wood beam

Let y represent the total length of the wood beam.

Given that each segment measures 3.5, the equation to express this scenario is given as

y = 3.5x

Thus, to find the length of the wood beam, substitute x = 4 into the equation.

We would have:

y = 3.5(4)

y = 14

Length of the wood beam = 14 ft

3 0
3 years ago
Pls help me this is a huge packet
Darina [25.2K]

Is there only choices A and B?

From the choices I can see you don’t even have to do any work. The equation starts with (y =). This indicates you will be working with the y intercept. The y intercept is simply where the line crosses on the y axis. In this graph, the y intercept is 2.5. Out of your choices (A and B that I can see) only one contains + 2.5.

B is your answer UNLESS there are choices c and d that are cut out.

4 0
4 years ago
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