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2 years ago

What operation would you do first to simplify 4 × 3 - 3 to the second power + 1 × 8

Mathematics

1 answer:

True [87]2 years ago

6 0

Answer:

4 × 3 - 3^2 + 1 × 8 = 11/1 = 11

Step-by-step explanation:

Multiple: 4 * 3 = 12

Exponentiation: 3 ^ 2 = 9

Subtract: the result of step No. 1 - the result of step No. 2 = 12 - 9 = 3

Multiple: 1 * 8 = 8

Add: the result of step No. 3 + the result of step No. 4 = 3 + 8 = 11

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An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache

weqwewe [10]

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = $\frac{50}{4000} = \frac{1}{80}$

Hence,

1/80 of the agency's employees have PhDs.

5 0

2 years ago

Rewrite 19/19 as a whole number

Elis [28]

The answer is 1.

Because if you simplify (divide) 19/19 you get one.

4/4 would also be 1. Any number divided to itself will always be 1.

Whereas 30/15 would be 2 because thirty divided by fifteen is 2

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2 years ago

A car rental agency currently has 44 cars available, 28 of which have a gps navigation system. one of the 44 cars is selected ra

Vitek1552 [10]

Propability of pick car randomly is 1/44

4 0

2 years ago

R Which statement is true regarding the diagram of circle P? S P. Х у N The sum of y and z must be 2x. The sum of y and z must b

sveta [45]

Answer

The sum of y and z must be 1/2 x

Step-by-step explanation:

You'll see

5 0

3 years ago

Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .

Solving for F(s) on the last equation, $F(s)=\frac{s}{s^2+25}$ , then the Laplace transform we were searching is $-F'(s)=\frac{s^2-25}{(s^2+25)^2}$

3 0

2 years ago

What operation would you do first to simplify 4 × 3 - 3 to the second power + 1 × 8​

What operation would you do first to simplify 4 × 3 - 3 to the second power + 1 × 8