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bearhunter [10]

2 years ago

12

Zack has 18 socks in his drawer. 6 are blue, 6 are red, and 6 are green. How many socks will he need to pull out to be sure he g

ets a pair of blue socks?

1 answer:

JulsSmile [24]2 years ago

3 0

Step-by-step explanation:

two sock make one pair ..... so 2 blues socks

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A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th

Softa [21]

<u>Answer-</u>

$\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}$

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So $f(0)=150$

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

$\Rightarrow f(1)=0.8(150)+10$

$\Rightarrow f(1)=0.8(f(0))+10$ $(\because f(0)=150)$

Again after one month total number of laptops in the store,

$\Rightarrow f(2)=0.8\times (0.8(150)+10)+10$

$\Rightarrow f(2)=0.8(f(1))+10$ $(\because f(1)=0.8(150)+10)$

Analyzing the pattern, the recursive function f(n) will be,

$f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0$

3 0

2 years ago

Read 2 more answers

The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, wher

Romashka [77]

Answer:

$y = -0.1x^2 + 250 ft$

Step-by-step explanation:

Because this quadratic equation would have the curve-down form of:

$y = -ax^2 + b$

where a and b are positive coefficient.

If we let the peak (250 ft) of the curve be at x = 0. Then

$y = -a0^2 + b = 250$

$b = 250$

Also at the begins and ends, thats where y = 0, the 2 points are separated by 100 ft. So let the begin at -50 ft and the end at 50ft. We have

$-a(\pm 50)^2 + 250 = 0$

$-a2500 = -250$

$a = 250/2500 = 0.1$

Therefore, the model quadratic equation of our path would be

$y = -0.1x^2 + 250 ft$

8 0

3 years ago

A circle has a radius of 4 ft. What is the area of the sector formed by a central angle measuring 3π2 radians? Use 3.14 for pi.

Vikki [24]

Answer:

The answer is 37.68 I just took the test.

5 0

2 years ago

Read 2 more answers

A sealed-tube manometer can be used to measure pressures below atmospheric pressure. The tube above the mercury is evacuated. Wh

sp2606 [1]

The <u>correct answers</u> are:

6.5 cm = 65.00001052 torr
6.5 cm = 8665.93 Pa
6.5 cm = 0.08552632119 atm

Explanation

The conversion rate from centimeters mercury (cm Hg) to torr is
1 torr = 0.099999983814461 cm.

We have 6.5 cm; this means to convert we divide:
6.5/0.099999983814461 = 65.00001052

The conversion rate from cm Hg to Pascals (Pa) is
1 cm = 1333.22 Pa

We have 6.5 cm; this means to convert we multiply:
6.5(1333.22) = 8665.93

The conversion rate from cm Hg to atmospheres (atm) is
1 atm = 75.999995199606 cm

We have 6.5 cm; this means to convert we divide:
6.5/75.999995199606 = 0.08552632119

7 0

3 years ago

Read 2 more answers

Help please and thank you!

Usimov [2.4K]

Answer:

Option A

Explanation:

$\rightarrow \sf sin\left(\dfrac{7\pi }{6}\right)$

$\rightarrow \sf \sin \left(\pi +\dfrac{\pi }{6}\right)$

$\rightarrow \sin \left(\pi \right)\cos \left(\dfrac{\pi }{6}\right)+\cos \left(\pi \right)\sin \left(\dfrac{\pi }{6}\right)$

$\rightarrow \sf 0 * \dfrac{\sqrt{3}}{2}+\left(-1\right) * \dfrac{1}{2}$

$\rightarrow \sf -\dfrac{1}{2}$

7 0

2 years ago