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3 years ago

Please help me I will give Brainiest to who can answer first. :)

Mathematics

1 answer:

777dan777 [17]3 years ago

4 0

If 40% of the cameras are digital, that means 60% of them are not digital.

If 60% of all cameras is 24, then 20% is 8, making 40% 16 cameras.

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Don and Dan went fishing. Don caught 6 times more mass of fish than his brother. Together they caught 4.2 kg of fish. What mass

Nitella [24]

Answer:

Don caught 3.6 kg and Dan caught 0.6 kg.

Step-by-step explanation:

Set up a system of equations:

Don's fish is the variable a and Dan's fish is the variable b.

a + b = 4.2 (1)

a=6b (2)

We can substitute a in the first equation using the second equation, so:

6b + b = 4.2

7b = 4.2

b = 0.6 kg

Dan caught 0.6 kg. Then, we can use equation 2 to find how much Don caught.

a = 6 x 0.6

a = 3.6

Don caught 3.6 kg.

3 0

3 years ago

I don't have a question this thing will not let me erase :)

11111nata11111 [884]

I’m hella tired but I can’t fall asleep for some reason T-T

6 0

3 years ago

Read 2 more answers

Solve the equations by modeling Draw the steps using circles for the variables and squares for the numbers

KiRa [710]

Answer:

A and D

hope this helps :)

Step-by-step explanation:

8 0

3 years ago

If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (2, 4, 0) in the direction

valentina_108 [34]

Answer:

a) $\nabla f(x,y,z) = \sin{yz}\mathbf{i} + xz\cos{yz}\mathbf{j} + xy \cos{yz}\mathbf{k}$ .

b) $Du_{f}(2,4,0) = -\frac{8}{\sqrt{11}}$

Step-by-step explanation:

Given a function $f(x,y,z)$ , this function has the following gradient:

$\nabla f(x,y,z) = f_{x}(x,y,z)\mathbf{i} + f_{y}(x,y,z)\mathbf{j} + f_{z}(x,y,z)\mathbf{k}$ .

(a) find the gradient of f

We have that $f(x,y,z) = x\sin{yz}$ . So

$f_{x}(x,y,z) = \sin{yz}$

$f_{y}(x,y,z) = xz\cos{yz}$

$f_{z}(x,y,z) = xy \cos{yz}$ .

$\nabla f(x,y,z) = f_{x}(x,y,z)\mathbf{i} + f_{y}(x,y,z)\mathbf{j} + f_{z}(x,y,z)\mathbf{k}$ .

$\nabla f(x,y,z) = \sin{yz}\mathbf{i} + xz\cos{yz}\mathbf{j} + xy \cos{yz}\mathbf{k}$

(b) find the directional derivative of f at (2, 4, 0) in the direction of v = i + 3j − k.

The directional derivate is the scalar product between the gradient at (2,4,0) and the unit vector of v.

We have that:

$\nabla f(x,y,z) = \sin{yz}\mathbf{i} + xz\cos{yz}\mathbf{j} + xy \cos{yz}\mathbf{k}$

$\nabla f(2,4,0) = \sin{0}\mathbf{i} + 0\cos{0}\mathbf{j} + 8 \cos{0}\mathbf{k}$ .

$\nabla f(2,4,0) = 0i+0j+8k=(0,0,8)$

The vector is $v = i + 3j - k = (1,3,-1)$

To use v as an unitary vector, we divide each component of v by the norm of v.

$|v| = \sqrt{1^{2} + 3^{2} + (-1)^{2}} = \sqrt{11}$

$v_{u} = (\frac{1}{\sqrt{11}}, \frac{3}{\sqrt{11}}, \frac{-1}{\sqrt{11}})$

Now, we can calculate the scalar product that is the directional derivative.

$Du_{f}(2,4,0) = (0,0,8).(\frac{1}{\sqrt{11}}, \frac{3}{\sqrt{11}}, \frac{-1}{\sqrt{11}}) = -\frac{8}{\sqrt{11}}$

6 0

3 years ago

What is the measure of <br> Angle x?

tino4ka555 [31]

56* cause alternate interiors angles

6 0

3 years ago