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I am Lyosha [343]
2 years ago
9

3 1/4 divided by 2 2/3 (convert to mixed number)

Mathematics
1 answer:
Olin [163]2 years ago
6 0

Answer:

3 1/8

Step-by-step explanation:

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CAN SOMEONE PLEASE HELP ME WITH MY GEOMETRY HOMEWORK!!!! I DON'T UNDERSTAND WHAT I'M SUPPOSED TO DO SO CAN SOMEONE PLEASE HELP M
MAVERICK [17]

Answer:

  see attached

Step-by-step explanation:

Dilation is the transformation that changes the size of something. When you choose ×110% on a copy machine, you are making all the dimensions in the copy equal to 1.1 times the dimensions of the original, for example. That is dilation by a factor of 1.1, or 110%.

Here, you're asked to dilate triangle ABC by a factor of 3. That means all of the dimensions on the dilated figure will be 3 times their length on the original.

The center of dilation is point P. That means all the distances from point P are multiplied by 3.

In the attached figure, a gray arrow has been drawn from point P to each of the points A, B, and C. Then two more arrows of the same length are drawn in the same direction. The total distance at the end of the 3 arrows is 3 times the original distance from point P. These are the points A', B', and C' you are asked to draw. Connecting these points gives the dilated triangle A'B'C'.

___

You could think of point P (the center of dilation) as having coordinates (0, 0). Then points A, B, and C would have coordinates A(-4, 0), B(0, -3), and C(-4, -3). To dilate these points by a factor of 3, multiply each coordinate value by 3: A'(-12, 0), B'(0, -9), C'(-12, -9). You will see that these are the coordinates of the vertices of the dilated triangle.

4 0
3 years ago
2.75 + negative 1.5
MAVERICK [17]

Answer:

1.25

Step-by-step explanation:

type in your calculator:

-1.5+2.75 OR 2.75-1.5

you should get the same answer

6 0
2 years ago
Read 2 more answers
uppose that​ Mary's utility function is​ U(W) = W0.5​, where W is wealth. She has an initial wealth of​ $100. How much of a risk
Stels [109]

Note that U(W) = W^{0.5}

Answer:

Mary's risk premium is $0.9375

Step-by-step explanation:

Mary's utility function,  U(W) = W^{0.5}

Mary's initial wealth = $100

The gamble has a 50% probability of  raising her wealth to $115 and a 50% probability of lowering it to $77

Expected wealth of Mary, E_w

E_{w} = (0.5 * $115) + (0.5 * $77)

E_{w} = 57.5 + 38.5

E_{w} = $96

The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375

Mary's risk premium is $0.9375

7 0
3 years ago
Solve.<br><br> Log8 (6x) = Log8 2 + Log8 (x-4)
Romashka-Z-Leto [24]

Write both sides as powers of 8, then simplify:

8^{\log_86x}=8^{\log_82+\log_8(x-4)}=8^{\log_82}8^{\log_8(x-4)}

\implies6x=2(x-4)

\implies6x=2x-8

\implies4x=-8

\implies x=-2

However, on the left hand side, this would mean we'd have, \log_8-12, which is undefined (assuming the real-valued logarithm), so this equation has no real solution.

7 0
3 years ago
The number of visitors to an art museum increases each year. The function V(t) = N(1 + r)t represents the number of visitors to
IrinaVladis [17]

Answer:

Option A - The number of visitors is multiplied by (1+r) each year

Step-by-step explanation:

Given : The number of visitors to an art museum increases each year. The function V(t) = N(1 + r)^t represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.  

To find : Select the correct statement?

Solution :

We have given an exponential function,

The function V(t) = N(1 + r)^t represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.  

As In year 0,

The initial visitors is V(t) = N(1 + r)^0=N

In year 1,

V(t) = N(1 + r)^1=N(1+r)

In year 2,

V(t) = N(1 + r)^2

So, According to this the number of visors is multiplied by (1+r) each year.

Therefore, Option A is correct.

7 0
3 years ago
Read 2 more answers
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