Is the number below<br> rational or irrational?<br><br> Square root of V16

If point Q(3,-4) is rotated +270° about the origin, what are the coordinates of Q?

erica [24]

Answer:

$Q' =(-4,-3)$

Step-by-step explanation:

Given

$Q = (3,-4)$

Rotation = +270 degrees

Required

Determine the new coordinates of Q (i.e. Q')

When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)

So:

$Q = (3,-4)$

Where:

$x = 3$ and $y = -4$

Q' will be:

$Q' =(-4,-3)$

8 0

3 years ago

The monthly output P of a light bulb factory is given by the formula P = 450LK, where L is the amount invested in labor and K th

Tems11 [23]

Answer:

C(p) = 4,96 (in thousands of dollars)

l = 2980 $ invest in labor

k = 2980 $ invest in equipment

Step-by-step explanation:

Information we have:

Monthly output P = 450*l*k ⇒ k = P/450*l

But the production need to be 4000

Then k = 4000/450*l

Cost of production = l * k (in thousands of dollars)

C(l) = l + 4000/450*l

Taking derivatives (both members of the equation)

C´(l) = 1 - 400 /45*l² ⇒ C´(l) = 0 ⇒ 1 - 400/45l² = 0

45*l² - 400 = 0 ⇒ l² = 400/45

l = 2.98 (in thousands of dollars)

l = 2980 $ And

k = 400/45*l ⇒ k 400/45*2.98

k = 2.98 (in thousands of dollars)

C(p) = l + k

C(p) = 2980 + 2980

C(p) = 5960 $

4 0

3 years ago

Two different chemotherapy regimens can be used for the treatment of breast cancer. The treatment with doxorubicin is known to s

trapecia [35]

I think the answer would be C. based on the cost of the treatment alone, plan A should be selected over plan B

If we count the cost and probability of remission, the cost of per 1 % remission with plan A is $ 25 , while the cost of per 1 % remission with plan B is $ 34

hope this helps

8 0

3 years ago

If f(x) = -3x - 5 and g(x)= 4x - 2, find (f-g) (x).

Eddi Din [679]

Answer:

$-7x-3$

Step-by-step explanation:

$(f-g)(x)$ just means $f(x)-g(x)$ .

So

$-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3$

4 0

4 years ago

Jerry and Carlos each have $1,000 and are trying to increase their savings. Jerry will keep his money at home and add $50 per mo

8_murik_8 [283]

Answer:

Jerry has a better saving plan for increasing his savings than Carlos

Step-by-step explanation:

Jerry's initial principal = $1000

Carlos initial principal = $1000

Jerry add $50 monthly this means that in 6 months he has

$50 x 6 = $300 as interest

This means that at the end of 6 months, Jerry would have $1,300 dollars at home

For Carlos the interest rate is 4% per year compounded monthly

If we calculate his interest per month we have:

Interest = 1000 x 4/(100 x 12) = $3.33

2nd month = 1003.33 x 4/(100 x 12) = $3.34

3rd month = 1006.68 x 4/(100 x 12) = $3.36

4th month = 1010.04 x 4/(100 x 12) = $3.37

5th month = 1013.41 x 4/(100 x 12) = $3.38

6th month = 1016.79 x 4/(100 x 12) = $3.40

At the end of 6 month, Carlos would have $1020.18 in the bank

Hence, Jerry has a better saving plan for increasing his savings than Carlos

8 0

3 years ago

Is the number below rational or irrational? Square root of V16