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3 years ago

Try it .............

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

7 0

Step 1: 3

Step 2: 6

Step 3: 16

Step 4: 8

Step 5: 5

Nice

Marat540 [252]3 years ago

7 0

This is always true, and can be understood why through some algebra.

Let “x” represent your initial number.

STEP 1: Think of any number

STEP 2: Double it

STEP 3: Add 10

2x + 10

STEP 4: Halve it

(2x + 10)/2

which equals

x + 5

STEP 5: Take away the number you originally though [sic] of in Step 1

x + 5 - x

which simplifies into

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(1 point) (a) Find the point Q that is a distance 0.1 from the point P=(6,6) in the direction of v=⟨−1,1⟩. Give five decimal pla

natima [27]

Answer:

following are the solution to the given points:

Step-by-step explanation:

In point a:

$\vec{v} = -\vec{1 i} +\vec{1j}\\\\|\vec{v}| = \sqrt{-1^2+1^2}$

$=\sqrt{1+1}\\\\=\sqrt{2}$

calculating unit vector:

$\frac{\vec{v}}{|\vec{v}|} = \frac{-1i+1j}{\sqrt{2}}$

the point Q is at a distance h from P(6,6) Here, h=0.1

$a=-6+O.1 \times \frac{-1}{\sqrt{2}}\\\\= 5.92928 \\\\b= 6+O.1 \times \frac{-1}{\sqrt{2}} \\\\= 6.07071$

the value of Q= (5.92928 ,6.07071 )

In point b:

Calculating the directional derivative of $f (x, y) = \sqrt{x+3y}$ at P in the direction of $\vec{v}$

$f_{PQ} (P) =\fracx{f(Q)-f(P)}{h}\\\\$

$=\frac{f(5.92928 ,6.07071)-f(6,6)}{0.1}\\\\=\frac{\sqrt{(5.92928+ 3 \times 6.07071)}-\sqrt{(6+ 3\times 6)}}{0.1}\\\\= \frac{0.197651557}{0.1}\\\\= 1.97651557$

$\vec{v} = 1.97651557$

In point C:

Computing the directional derivative using the partial derivatives of f.

$f_x(x,y)= \frac{1}{2 \sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{2 \sqrt{22}}\\\\f_x(x,y)= \frac{1}{\sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{\sqrt{22}}\\\\f_{(PQ)}(P)= (f_x \vec{i} + f_y \vec{j}) \cdot \frac{\vec{v}}{|\vec{v}|}\\\\= (\frac{1}{2 \sqrt{22}}\vec{i} + \frac{1}{\sqrt{22}} \vec{j}) \cdot \frac{-1}{\sqrt{2}}\vec{i} + \frac{1}{\sqrt{2}} \vec{j}$

4 0

2 years ago

What’s the x and y intercepts of this equation: -3x-7y=84

Arlecino [84]

Answer:

The X and Y intercepts to the equation -3x - 7y = 84 is

x-intercept (s): (−28,0)

y-intercept (s): (0,−12)

Step-by-step explanation:

To find the x-intercept(s), substitute in 0 for y and solve for x

−3x−7⋅0=84

Solve the equation.

x=−28

x-intercept(s) in point form.

x-intercept (s): (−28,0)

To find the y-intercept(s), substitute in 0 for x and solve for y .

−3⋅0−7y=84

Solve the equation.

y=−12

y-intercept(s) in point form.

y-intercept (s): (0,−12)

Hope this helps.

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3 years ago

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faltersainse [42]

Answer:

<h2>4,500 bottles of juice.</h2>

Step-by-step explanation:

<h3>Clue word: Times means multiply</h3><h3>If you multiply 750 x 6 you will get 4,500.</h3>

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wlad13 [49]

The answer is 9/10

Hope this helps!

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3 years ago

Read 2 more answers

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docker41 [41]

15 miles per hour right so anyways that will be split by the number of minutes per hour so first there are 60 mins in an hour so its 15 divided by 60 which is 0.25 next how many miles will the cyclist travel in 15 minutes so that would mean taking the answer from the above and multiply it by 15 since you need 15 min which is 3.75 miles in 15 min hope i helped rate brainiest so i can reach next lvl! :)

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2 years ago