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3 years ago

9

Given that the restaurant is located in a city with a population over 500,000, what is the probability that it is in the northea

st?

1 answer:

xxMikexx [17]3 years ago

5 0

Your question seems incomplete
is there an image supposed to be attached to it

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SHOW ALL WORK OR WILL BE DELETED BY ME :) :) :) :) :) :) THANK YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

aleksklad [387]

We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months.

1 year = 12 months

12 * 5 = 60 months

Therefore, in 5 years there are 60 months.

Now lets solve this problem step by step.

Subtract the down payment from $20,000

</span>$20000-$1500=$18500

Multiply the remaining number by the interest rate.

$18500 *1.9 = $35150

Divide 35150 by number of months in 5 years (60)

$35150 / 60 = $585

<span>Therefore, you have to pay $585 per month.</span>

6 0

3 years ago

The circumference of a circle is 31.4 inches. Enter the radius of the circle, in inches. Round your answer to the nearest whole

Masteriza [31]

Answer:

Should be 5 in.

Step-by-step explanation:

C=2*Pi*R

31.4=2*3.14*R

substitute 5 for radius= 2*5=10

10*3.14=31.4

3 0

3 years ago

Choose all that give the correct effect on the linear graph of the parent function ƒ(x).

Nataliya [291]

Answer: since the parent function is f(x), then i think....

f(x) + 5 is the shifted 5 units up of f(x)

then the first answer is correct

f(x - 8) is 8 shifted 8 units right of f(x)

then the second answer is wrong,

f(x) is replaced by 4f(x) means it stretched vertically by a factor of 4

the the third answer is correct

f(x) is replaced with f(3x) compressed horizontally by a scale factor of 1/3

then the fourth answer is correct

Step-by-step explanation: i hope this makes since and sorry if it doesn't so the first is correct, second is wrong, third is correct, and fourth is also correct. and no there well be no links. (sorry if you do want links)

and maybe a brainliest

3 0

3 years ago

Write an equation for the line in slope- intercept form. 2. Х -4 -2 o 2 4. -2 4

Alla [95]

Answer:

y= -2x-3

Step-by-step explanation:

this is because the y intercept is at negative 3 and the rise over run is down 1 over 2

3 0

3 years ago

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va

Black_prince [1.1K]

Answer:

3 solutions:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

therefore:

$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

$cos(\frac{\theta}{2})=0$

$\frac{\theta}{2}=cos^{-1}(0)$

$\frac{\theta}{2}=\frac{\pi}{2}+\pi n$

or

$\theta=\pi+2\pi n$

we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so:

$\theta\neq \pi$

having said this, we can now start solving the equation:

$tan(\frac{\theta}{2})=sin(\theta)$

we can start solving this equation by using the half angle formula, such a formula tells us the following:

$tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}$

so we can substitute it into our equation:

$\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)$

we can now multiply both sides of the equation by $sin(\theta)$

so we get:

$1-cos(\theta)=sin^{2}(\theta)$

we can use the pythagorean identity to rewrite $sin^{2}(\theta)$ in terms of cos:

$sin^{2}(\theta)=1-cos^{2}(\theta)$

so we get:

$1-cos(\theta)=1-cos^{2}(\theta)$

we can subtract a 1 from both sides of the equation so we end up with:

$-cos(\theta)=-cos^{2}(\theta)$

and we can now add $cos^{2}(\theta)$

to both sides of the equation so we get:

$cos^{2}(\theta)-cos(\theta)=0$

and we can solve this equation by factoring. We can factor $cos(\theta)$ to get:

$cos(\theta)(cos(\theta)-1)=0$

and we can use the zero product property to solve this, so we get two equations:

Equation 1:

$cos(\theta)=0$

$\theta=cos^{-1}(0)$

$\theta={\frac{\pi}{2}, \frac{3\pi}{2}}$

Equation 2:

$cos(\theta)-1=0$

we add a 1 to both sides of the equation so we get:

$cos(\theta)=1$

$\theta=cos^{-1}(1)$

$\theta=0$

so we end up with three answers to this equation:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

7 0

3 years ago