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nadya68 [22]
3 years ago
9

The price of a car was decreased by 40% to £750. What was the price before the decrease?

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0
60% = 750
10% = 125
1000% = 1250

Price before decrease is £1250
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Is 6.34 repeating a rational or irrational number?
Alchen [17]

Step-by-step explanation:

i think that is a irational number

5 0
3 years ago
Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
.........help.......me.......please
jeyben [28]

Answer:

33

Step-by-step explanation:

since the whole thing is a right angle=90 you just subtract it from 57 and that's 33

6 0
3 years ago
Read 2 more answers
Someone please help me
Troyanec [42]
Pythagorean theorem is a^{2} + b^{2} = c^{2}
and using that sin is opposite/hypotenuse, you can find the third side of the triangle.
11^{2}+(adjacent)^{2} = 61^{2} \\ 121+ (adjacent)^{2} = 3721 \\ (adjacent)^{2}=3600 \\ adjacent = 60
now you know adjacent is 60, so cos=60/61
4 0
3 years ago
(4^4)^5 the answer in simplest terms
Ipatiy [6.2K]

Answer:

2^40.

Step-by-step explanation:

(4^4)^5

= 4^(4*5)

= 4^20

= (2^2)^20

= 2^40.

4 0
3 years ago
Read 2 more answers
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