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2 years ago

Please help me

Mathematics

2 answers:

Sedbober [7]2 years ago

4 0

The answer is 0.2
Hope this helps

krok68 [10]2 years ago

3 0

Answer:

0.2

Step-by-step explanation:

HP I HELPED :3

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What is the fraction ten fourteenths in its simplest form?

aliya0001 [1]

10/14 = 5/7 in simplest form

7 0

3 years ago

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EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the

solong [7]

Answer:

<h2>a) f = sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f = sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v = (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0

2 years ago

Dont guess!<br> I will mark brainliest if its correct!<br> Also no links!

GREYUIT [131]

Answer:

The correct answer will be; B or 40.

Step-by-step explanation:

Because when the ratio of boys changed from 8 to 32, it increased by "time 4" (8*4 = 32), so the same pattern will be followed for girls, multiplying the number that you already have by four; 10 (amount of girls given) * 4 = 40.

Hope this helped, Good Luck!

8 0

2 years ago

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Y=3x-4;y=4+x substitution

Gnesinka [82]

Answer:

y=54

Step-by-step explanation:

6 0

3 years ago

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READ WHOLE QUESTION!:There are 50 campers at day camp and 10 counselors.Write the ratio campers to counselors as a fraction.Expl

Dovator [93]

<span>Given that there are 50 campers at day camp and 10 counselors.

The ratio of campers to counselors as a fraction is given by $\frac{50}{10}$ .

Using equivalent fractions we have $\frac{50\div10}{10\div10} = \frac{5}{1}$ .

Thus, the related rate and unit rate to the ratio of campers to counselors is given by $\frac{5}{1}$ .

The unit rate indicates that for every counselor, there are 5 campers.</span>

6 0

3 years ago