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gregori [183]
3 years ago
11

Twice the sum of Paloma's age and 15 is 106. How old is Paloma?

Mathematics
2 answers:
Ivanshal [37]3 years ago
7 0

Answer:

121

Step-by-step explanation:

fredd [130]3 years ago
4 0

Answer: 121

Step-by-step explanation:

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An acute angle theta is in a right triangle with cos theta = 5/6. What is the value of sec theta?
pochemuha

Answer:

  • sec=1/cos

Step-by-step explanation:6/5

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3 years ago
Arrange the complex numbers in order according to the quadrant in which they appear, starting with the first quadrant. 3 − 4i -1
chubhunter [2.5K]
A+bi is the form of a complex number. a is on the x axis, bi is on the y axis:
3-4i ( x positive, y negative) Q4
-1-3i (both x, y negative) Q3
4+i ( both x, y positive) Q1
-2+2i (x neg, y pos) Q3
6 0
3 years ago
Suppose z equals f (x comma y ), where x (u comma v )space equals space 2 u plus space v squared, y (u comma v )space equals spa
barxatty [35]

z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}

We're given that f_x(6,1)=3 and f_y(6,1)=-1, and want to find \frac{\partial z}{\partial v}(1,2).

By the chain rule, we have

\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}

and

\dfrac{\partial x}{\partial v}=2v

\dfrac{\partial y}{\partial v}=-1

Then

\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)

(because the point (x,y)=(6,1) corresponds to (u,v)=(1,2))

\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}

4 0
3 years ago
PLZZ HELP!
dezoksy [38]
For the first one it’s h=6 and the second one is h=-3
4 0
3 years ago
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $
Mila [183]

Answer:

  $2.72

Step-by-step explanation:

The increase from last week is the fraction ...

  (new price)/(old price) -1 = (1.82/1.65) -1 = 17/165

so the amount of increase Sally will pay this week is ...

  17/165×$26.40 = $2.72

_____

<em>Comment on the working</em>

We could work this several ways. Perhaps most straightforward would be to determine how many gallons Sally bought last week, and multiply that by the change in price. Or, the number of gallons could be multiplied by the new price per gallon and the difference from the old purchase amount found.

If you look at the numbers, you see that we have effectively done it the first way. The change in price is $0.17 per gallon, and the number of gallons Sally bought is $26.40/$1.65.

8 0
3 years ago
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