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2 years ago

12. Darnell's team scored 40 points at the

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

3 0

Answer:

he scored 6

Step-by-step explanation:

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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

Miguel compró 253 Kilos de pescado para venderlo en su negocio, si decide vender cada kilo de pescado en Bs 1.900.000. Entonces,

Sveta_85 [38]

Answer:

Miguel recaudó Bs 480.700.000 por la venta del pescado.

Step-by-step explanation:

Con la información proporcionada puedes calcular el dinero que recaudó en total por la venta del pescado multiplicando el precio de venta de cada kilo de pescado por el número de kilos que Miguel compró:

Número de kilos comprados=253

Precio de venta por kilo=1.900.000

Total vendido=253*1.900.000

Total vendido=480.700.000

De acuerdo a esto, la respuesta es que Miguel recaudó Bs 480.700.000 por la venta del pescado.

7 0

2 years ago

Sin 90 +cos 50 -tan1

Feliz [49]

Answer:

1.62533254

Step-by-step explanation:

7 0

2 years ago

Need help,please and thank you

Daniel [21]

X=90 which (180-90) is 90 for m and n

4 0

2 years ago

Which of the following is a factor of 24x6 − 1029y3?

amid [387]

Answer:

The answer to your question is only the second and the third are factors.

Step-by-step explanation:

Find the factors of 24x⁶ − 1029y³

First find the prime factors of 24 and 1029

24 2 1029 3

12 2 343 7 Then 24 = 2³3

6 2 49 7 1029 = 7³ 3

3 3 7 7

1 1

x⁶ = (x²)³ y³ = y³

Then

2³3(x²)³ - 7³ 3 y³

Factor 3 3[ 2³(x²)³ - 7³ y³]

Factor 3 [ (2x² - 7y)(4x⁴ + 14x²y + 49y²)]

Then

2x2 + 7y

4x4 + 14x2y + 49y2

All of the above

8 0

3 years ago

Read 2 more answers