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aleksandrvk [35]

3 years ago

5

What is the range of function of y-1=(x+3)^2

1 answer:

andreyandreev [35.5K]3 years ago

6 0

$The\ vertex\ form\ of\ a\ quadratic\ function:y=a(x-h)^2+k\\\\where\ (h;\ k)-the\ vertex\\---------------------------\\\\y-1=(x+3)^2\ \ \ \ |add\ 1\ to\ both\ sides\\\\y=(x+3)^2+1\\\\a=1;\ h=-3;\ k=1\\\\a=1 > 0\ therefore\ parabola\ op ens\ upward\\\\vertex\ (-3;\ 1)\\\\therefore\ the\ range\ of\ this\ function\ is\ equal\ [1;\ \infty)\\\\graph\ on\ the\ picture.$

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Ronch [10]

Answer:

<em><u>1 and 5</u></em>

Step-by-step explanation:

The squares have a side length of 10 and 1 square side is the radius of the half-circles. Since there are two half-circles, find the circumference for one full circle:

$C=2\pi r$

Insert the radius:

$r=10\\C=2\pi *10$

Simplify pi:

$C=2*3.14*10$

Simplify multiplication:

$C=6.28*10\\C=62.8$

The circumference of the circles is 62.8. Now find the perimeter of the exposed squares with side length 10. There are 4 exposed sides, which equals one square. Find the perimeter:

$P=10+10+10+10\\P=10+10+20\\P=10+30\\P=40$

Add the perimeter of the circle and the square together:

$P=62.8+40=102.8$

Now see which of the options gives you the perimeter:

1. $40+20\pi =102.8$ ****

2. $unavailable$

3. $120+20\pi =182.8$

4. $300+100\pi =614.2$

5. $10+10+10\pi +10+10+10\pi =102.8$ ****

Finito.

7 0

3 years ago

Josie can solve 4/3 rubix cubes in 1/6 of an hour. How many rubix cubes can she solve an in hour please help

777dan777 [17]

Answer:

5

Step-by-step explanation:

So 1/6 of an hour is 10 minutes and 3/4 of a Rubiks cube is technically 1 1/4 so in an hour she can solve five in an hour

3 0

3 years ago

If 433 = 100% then what percent does 383 equal

Goryan [66]

Answer:

88.46%

Step-by-step explanation:

433 - 383 = 50

50 ÷ 433 = 0.1154

0.1154 x 100 = 11.54%

100% - 11.54% = 88.46%

<u>Check work:</u>

433 x 88.46% = 383

5 0

3 years ago

Please help meeeeeeeeee

castortr0y [4]

Answer:

37.3% is the take off

Step-by-step explanation:

so an easy route is to subtract the price after the reduction

89.99-56.49= 33.5 that is 37.3 percent

because 62.78% of 89.99 is 56.486723 round i and you get 56.49 so this is a check your work

4 0

3 years ago

At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

$d*sin(\theta) = m\lambda$

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle

At the first-order maximum (m=1) at 20.0 degrees we have:

$\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342$

Now, to produce a second-order maximum (m=2) the angle must be:

$sin(\theta) = \frac{\lambda}{d}*m$

$\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}$

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.

I hope it helps you!

6 0

3 years ago