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lesya [120]
2 years ago
9

Determine the value of base x if (211)x = (6A)16

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
4 0
211_x=2x^2+x+1
6A_{16}=106_{10}

\implies 2x^2+x+1=106\iff 2x^2+x-105=(x-7)(2x+15)=0

This has two solutions, x=7 and x=-\dfrac{15}2.
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Sketch the region of integration for the following integral. ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ
solong [7]

Answer:

The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

Step-by-step explanation:

We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line  x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

3 0
2 years ago
2.5 kg of cabbages cost £1.20<br><br> Work out the cost of 3.75 kg
s2008m [1.1K]
Thank you for your question!

In order to get the cost of 1 kg of cabbage, divide the cost by the quantity:

1.20/2.5
0.48

Now, multiply the amount for 1 kg to 3.75, because you need 3.75 times the amount.

0.48 * 3.75
1.80

So, it would cost 1.80 pounds for 3.75 kg.
Hope this helped!


8 0
2 years ago
If 25% of 150 is equal to 700 percent of n, then n is equal to what number?
adelina 88 [10]
25% of 150 = 37.5
700% of x = 37.5
x = 5.35714285
5 0
2 years ago
A factory bottles 360 bottles of juice in 5 minutes. Find the factory's unit rate of bottles per minute.
castortr0y [4]

Find the unit rate by dividing 360 bottles by 5 minutes:

360 bottles

-------------------- = 72 bottles/minute

5 minutes

3 0
2 years ago
Binks needs to raise at least $3600. He was given $200 and plans to save $50 a week. Select all of the inequalities that represe
kherson [118]

Answer:

I'm pretty sure it is 50n+200 <u><</u> 3600

Step-by-step explanation:

Im to fully sure tho

5 0
1 year ago
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