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liq [111]
4 years ago
8

-8(-2d+2) please help

Mathematics
1 answer:
Valentin [98]4 years ago
3 0

Answer:

16d-16

Step-by-step explanation:

You need to distribute -8 throughout. Doing this gives you +16d-16

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Juanita is making bread. She
Sever21 [200]

Answer:14   1/4  cups

Step-by-step explanation:

3 1/2=14/4

(14/4) / (1/4) = 14

6 0
4 years ago
. The London Eye is a popular tourist attraction in London, England and is one of the largest Ferris Wheels in the world. It has
astra-53 [7]

Answer:

y=-67.5[cos(\frac{\pi}{15}t)-1]

Step-by-step explanation:

We can start solving this problem by doing a drawing of London Eye. (See attached picture).

From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

y=-Acos(\omega t)+b

where:

A=amplitude

\omega = angular speed.

t= time (in minutes)

b= vertical shift.

In this case:

A= radius = 67.5 m

\omega=2\pi f

where the frequency is the number of revolutions it takes every minute, in this case:

f=\frac{1}{30} rev/min

so:

\omega=2\pi (\frac{1}{30})

\omega=\frac{\pi}{15} rad/min

and

b= radius, so

b=A

b=67.5m

so we can now build our equation:

y=-67.5cos(\frac{\pi}{15} t)+67.5

which can be factored to:

y=-67.5[cos(\frac{\pi}{15}t)-1]

You can see a graph of what the function looks like in the end on the attached picture.

3 0
3 years ago
What is the domain and range for {(0,-5),(1,3),(2,2),(0,4)(-5,6),(3,4)}
Inga [223]
The domain are the x values and the range are the y values.
Domain {0, 1, 2, -5, 3}
Range {-5, 3, 2, 4, 6}

Note: you do not repeat a number if it is already in the domain or range.
7 0
3 years ago
Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.
rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed  as:

y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}

Thus, the area of the surface is as follows:

\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA

= \iint_D \sqrt{x^2 +y^2 +1 } \ dA

= \int^{2 \pi}_{0} \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr \ d \theta

=2 \pi \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr

= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0

= 2 \pi \times \dfrac{1}{3}  \Bigg [ (37)^{3/2} - 1 \Bigg]

= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]

3 0
3 years ago
What is the slope intercept formula for an equation
Alecsey [184]
The slope intercept form is written like this:-

y = mx + b

'M' is the slope
'b' is the y intercept 
8 0
4 years ago
Read 2 more answers
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