How many elements are in the set {whole numbers between 3 and 15}?

Write the expression in the standard form a+b i (8-8i) + (1+6i )= (simplify the answer)

kotegsom [21]

Answer:

Step-by-step explanation:

(8 - 8i) + (1 + 6i)

8 + 1 - 8i + 6i

9 - 2i

4 0

3 years ago

Help please :) ..................

brilliants [131]

Answer:

1587.6 m²

Step-by-step explanation:

$A=\frac{1}{2} bh$ where b is the base length and h is the height (b and h on the triangle will always be perpendicular to each other)

Plug in 75.6 m as b and 42 m as h

$A=\frac{1}{2} (75.6)(42)\\A=\frac{1}{2}( 3175.2)\\A=1587.6$

I hope this helps!

3 0

2 years ago

Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

4 0

3 years ago

Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6

shtirl [24]

If Sandra mixes x L of 65% solution with y L of 90% solution, then the resulting mixture has a total volume of

x + y = 500

litres, and it contains

0.65x + 0.90y = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for y :

y = 500 - x

Substitute this into the second equation and solve for x :

0.65x + 0.90 (500 - x) = 375

0.65x + 450 - 0.90x = 375

75 = 0.25x

x = 300

Solve for y :

y = 500 - 300

y = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

8 0

3 years ago

The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?

Margaret [11]

The second equation, its setup is correct

8 0

3 years ago