Find the zero(0) of g(x) when g(x)=x^2-2x

A race car is driven around a circular track at a constant speed of 180mph. If the diameter is 1/2 mile, what is the angular spe

Bogdan [553]

If the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!

the angular speed is theta/time, which means

w=theta/time

but another formula for it is Velocity*radians

w=velocity*radians

velocity is 180 mph and radians are (revolution/2 $\pi$ radius), that is:

w=180*(1/2 $\pi$ *0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!

4 0

3 years ago

Nathan wants to buy a car that costs $25,920 he has $3,000 as a down payment and his payments will be $450 for 6 years through r

sesenic [268]

he payed 3,000 in hand payment then gave checks per...mnth for 6 years to equal the needed amount

3 0

3 years ago

In a class of 54 students there are 6 more girls than boys. What is the ratio of the number of boys to the numbers of girls

OLEGan [10]

Answer:

6:54?

Step-by-step explanation:

Im really sorry if it's wrong but I'm pretty sure thats the answer since its a ratio

8 0

3 years ago

A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex

Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

$I=P*r*t$

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

$I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1$

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

$I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y$

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

$x+y=50000$

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

$y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500$

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

$x+y=50000\\12500+y=50000\\y=50000-12500=37500$

Therefore, the loan at 8% is $37500

5 0

3 years ago

I need it fasttttttttttttttttttttttttttttttttttttttttttttt<br> pls help

saveliy_v [14]

Answer:

a length ★ bright

(14★8)m =112m²

b. (4+2+8+14+8+5)m

=41m

6 0

2 years ago