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3 years ago

Which expression is equal to 0? A) 2 + 0 + 3 B) 2x0x3 C) 1 + (0 x 2) D) (1 x 2) + 0

Mathematics

2 answers:

sergey [27]3 years ago

5 0

B) 2 times 0 is 0 and if you multiply 0 by 3 it is still zero

GrogVix [38]3 years ago

3 0

Answer:

Step-by-step explanation:

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kakasveta [241]

Regular pay:
45x40x17=30,600
Overtime:
45x6x17x1.5=2142

Total payroll= 30,600+2142=32,742

Total overtime/total payroll * 100 =
2142/32,742 *100 = 6.5%

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3 years ago

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4vir4ik [10]

Answer:

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Step-by-step explanation:

5(4 + 8) =

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5*4 + 5*8

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4 years ago

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Emily bought 30 yards of fabric to make curtains. How many inches of fabric did Emily buy? Emily bought inches of fabric.

Phantasy [73]

Answer:

Emily bough 1080 inches of fabric.

Step-by-step explanation:

There are 36 inches in a yard.

36 multiplied by 30 = 1080.

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4 years ago

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4 years ago

Find the general solution of<br><br> dz/dt=5ze^(sint)cost+2e^(sint)cost

gizmo_the_mogwai [7]

Answer:

The general solution of given differential equation is $\frac{1}{5}ln|5z+2|=e^{\sin t}+C$ .

Step-by-step explanation:

The given differential equation is

$\frac{dz}{dt}=5ze^{\sin t}\cos t+2e^{\sin t}\cos t$

Taking out common factors.

$\frac{dz}{dt}=(5z+2)e^{\sin t}\cos t$

Using variable separable method, we get

$\frac{dz}{5z+2}=e^{\sin t}\cos t dt$

Integrate both sides.

$\int\frac{dz}{5z+2}=\int e^{\sin t}\cos t dt$

$I_1=I_2$ .... (1)

First solve LHS,

$I_1=\int\frac{dz}{5z+2}$

Substitute $5z+2=u$

$5\frac{dz}{du}=1$

$dz=\frac{1}{5}du$

$I_1=\frac{1}{5}\int\frac{du}{u}$

$I_1=\frac{1}{5}ln|u|+C_1$

$I_1=\frac{1}{5}ln|5z+2|+C_1$

Now, solve RHS,

$I_2=\int e^{\sin t}\cos t dt$

Substitute $\sin t=v$ ,

$\cos t\frac{dt}{dv}=1$

$\cos tdt=dv$

$I_2=\int e^{v}dv$

$I_2=e^{v}+C_2$

$I_2=e^{\sin t}+C_2$

Subtitle the values of I₁ and I₂ in equation (1).

$\frac{1}{5}ln|5z+2|+C_1=e^{\sin t}+C_2$

$\frac{1}{5}ln|5z+2|=e^{\sin t}+C_2-C_1$

$\frac{1}{5}ln|5z+2|=e^{\sin t}+C$

Therefore the general solution of given differential equation is $\frac{1}{5}ln|5z+2|=e^{\sin t}+C$ .

4 0

3 years ago