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Rudiy27
2 years ago
15

The function C (t) = StartFraction 4 t Over t squared + 2 EndFraction models the cost per student of a field trip when x student

s go on the trip. How is the parent function On a coordinate plane, 3 curves are shown. One curve opens up and to the right in quadrant 1 and goes through (2, 4) and (4, 1). Another curve approaches x = negative 2 in quadrant 2, changes direction at (0, 0), and then decreases in quadrant 4 and approaches y = 2. The third curve opens down and to the left in quadrant 3 and goes through (negative 4, negative 1) and (negative 2, negative 4). transformed to create the function On a coordinate plane, 2 curves are shown. One curve opens up and to the left in quadrant 2 and goes through (negative 4, 8) and (negative 6, 6). Another curve opens down and to the right and goes through (negative 1, negative 3), (0, 0), and (6, 3).?
It is vertically stretched by a factor of 200.
It is vertically stretched by a factor of 200 and shifted 10 units leftt.
It is vertically stretched by a factor of 200 and shifted 10 units up.
It is vertically stretched by a factor of 200 and shifted 10 units right.
Mathematics
1 answer:
choli [55]2 years ago
7 0

Answer:

C. It is vertically stretched by a factor of 200 and shifted 10 units up.

Step-by-step explanation:

<3

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Grandpa ernie is shrinking! Over the past 4 years, his hight decressed by a total of 2.4cm. It decresed by the same amount each
dolphi86 [110]

Answer: 0.6 cm

Step-by-step explanation:

Given : Over the past 4 years, Grandpa Ernie's height decreased by a total of 2.4 cm.

If  the height is decreased by the same amount each year.

Then, the change in Grandpa Ernie's height each year will be =

Total decrease in height ÷ 4

= 2.4 cm  ÷  4  = 0.6 cm

Hence, the  change in Grandpa Ernie's height each year = 0.6 cm

4 0
2 years ago
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Hey ^-^ can someone please help me with this problem:
soldi70 [24.7K]

Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2        

   Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

    = 4 so the semicircle area is

   (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

  First of all, angle ACB is a right angle ( i.e. 90 degrees).

    * This is the Theorem of Thales from elementary Plane Geometry. *

 so by Pythagoras

   AC^2 + BC^2 = AB^2

But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

Substituting these in Pythagoras gives

   AC^2 + 4^2 = 8^2 or

   AC^2 = 8^2 - 4^2- = 64 - 16 = 48

   Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

  (1/2) b * h = (1/2)  BC * AC = (1/2) 4 * (4 * sqrt(3)) =  8 sqrt(3)

We conclude the area area of the shaded part is

 8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!

6 0
2 years ago
Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabel
serious [3.7K]

Answer:

286

Step-by-step explanation:

Given : Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabelle back in U.S. dollars.

To Find:  If the foreign exchange rate between the U.S. dollar and the euro is 1:0.7, how much should Myra pay Annabelle?

Solution:

Since Annabelle paid 200 euros

And Myra wants to pay Annabelle back in U.S. dollars.

Let Myra paid amount to Annabelle in U.S. dollar be x

We are also given that  the U.S. dollar and the euro is 1:0.7

⇒\frac{1}{0.7}=\frac{x}{200}

⇒\frac{1*200}{0.7}=x

⇒\frac{200}{0.7}=x

⇒285.7=x

⇒285.7≈286

Thus Myra should pay $286 to Annabelle



6 0
2 years ago
A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those
const2013 [10]

Answer:

The two stadiums are approximately 3115.1 meters away from each other

Step-by-step explanation:

Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.

In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:

tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx  290.6\,\,meters

and for the other one:

tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx  3405.7\,\,meters

The the distance between the stadiums is the difference:

b - a = 3405.7  - 290.6 meters = 3115.1  meters

8 0
2 years ago
Find the derivative of f(x) = 11x2 + 5x at x = 9.
Yakvenalex [24]
F(x) = 11x² + 5x 

f'(x) = 22x + 5

Hence,

f'(9) = (22 * 9) + 5 = 198 + 5 = 203
3 0
2 years ago
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