Which of the following completes the rule for this translation, (x, y) → (x + 4, __

To save for a new car, Trafton invested $3,000 in a savings account that earns 5.5% interest, compounded continuously. After fou

Law Incorporation [45]

Answer:

He will make $165 every year.

3000 + 165(4) = 3660 (this is his total amount)

He will need 4000 - 3660 = $340

He will need an Additional $340.

4 0

2 years ago

Suppose quantity s is a length and quantity t is a time. Suppose the quantities v and a are defined by v = ds/dt and a = dv/dt.

finlep [7]

Answer:

a) $v = \frac{[L]}{[T]} = LT^{-1}$

b) $a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

c) $\int v dt = s(t) = [L]=L$

d) $\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

e) $\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

Step-by-step explanation:

Let define some notation:

[L]= represent longitude , [T] =represent time

And we have defined:

s(t) a position function

$v = \frac{ds}{dt}$

$a= \frac{dv}{dt}$

Part a

If we do the dimensional analysis for v we got:

$v = \frac{[L]}{[T]} = LT^{-1}$

Part b

For the acceleration we can use the result obtained from part a and we got:

$a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

Part c

From definition if we do the integral of the velocity respect to t we got the position:

$\int v dt = s(t)$

And the dimensional analysis for the position is:

$\int v dt = s(t) = [L]=L$

Part d

The integral for the acceleration respect to the time is the velocity:

$\int a dt = v(t)$

And the dimensional analysis for the position is:

$\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

Part e

If we take the derivate respect to the acceleration and we want to find the dimensional analysis for this case we got:

$\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

7 0

3 years ago

If Max makes 45 out of 60 shots with the basketball, how many would you expect him to make if he only shot the basketball 15 tim

exis [7]

Answer:

11

Step-by-step explanation:

Probability of Max making a shot is 45/60=¾

Here, probability, p=¾ or 0.75

The trials n=15

E=np where E is expectation

Now, when the shots out of 15 trials will be given by np=15*¾=11.25 shots

Rounded off to the nearest interger, this is approximately 11 shots.

Therefore, the possible number of shots in 15 trials for Max is equivalent to 11

7 0

2 years ago

the cable installer charges 42.50 per hour plus a 60.00 service charge. Your father's firm hires him to took up his company inte

Mama L [17]

The equation would be c=42.5x+60
C is cost
X is number of hours

3 0

3 years ago

Helpp!!!!!! What is X?

ANEK [815]

Answer:

(6,4)

Step-by-step explanation:

Not sure if that right hope it helps

7 0

2 years ago

Read 2 more answers

Which of the following completes the rule for this translation, (x, y) → (x + 4, ___)?