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3 years ago

Choose the correct simplification of the expression c2 ⋅ c9. c11 c7 c18 c

Mathematics

2 answers:

notsponge [240]3 years ago

8 0

The first one. When two bases are the same and are multiplied, their exponents are added together
Hope this helps!

nataly862011 [7]3 years ago

7 0

Are the "2" and "9" exponents? If so, the answer is C11.

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Can someone help me with this question please

Veronika [31]

The answer is 34 ft u have to apply pythogoras thereom

4 0

3 years ago

Find the area of the right triangle. If necessary, round to the nearest tenth.

Ne4ueva [31]

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; <em>a² + b² = c².</em>

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

Then you must figure out what 15² and 25².

<em>15² = 225</em>

<em>25² = 625</em>

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

<em>625 - 225 = 400. </em>

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

<u>The missing length of the triangle is 20 yards. </u>

Now it's just a matter of finding the area by using the formula;

<em>A = </em> $\frac{bh}{2}$

Or,

<u>And there's your answer. Don't forget to add the units.</u>

<u />

<h2>Hope this helped.</h2>

8 0

3 years ago

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

3 years ago

PLZ HELP SUPER EASY I'M JUST HELLA DU.MB

laiz [17]

Answer:

I can't answer that if there is no picture, I'm sorry

7 0

3 years ago

Write expression using the distributive property to find the product of 9 x82

irga5000 [103]

Answer:

Step-by-step explanation:

9 * 82 = ( 10-1) * 82

= 10*82 - 1 *82

= 820 - 82

= 738

5 0

3 years ago