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3 years ago

Each year, a daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula

Mathematics

1 answer:

nikitadnepr [17]3 years ago

7 0

Answer:

600

Step-by-step explanation:

We can solve the recursive formula for the previous term in terms of the present one:

a[n-1] = (a[n] +100)/1.5

Working backward, we find ...

a[4] = (a[5] +100)/1.5 = (2225 +100)/1.5 = 1550

a[3] = (1550 +100)/1.5 = 1100

a[2] = (1100 +100)/1.5 = 800

a[1] = (800 +100)/1.5 = 600

There were 600 daylilies on the farm after the first year.

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Directions: Find each missing measure. please help me find T and U

adoni [48]

Answer:

m∠U = 54°

m∠T = 72°

Step-by-step explanation:

The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:

m∠S = m∠U

m∠S = 54°

m∠U = 54°

All angles in a triangle add up to 180°:

m∠S + m∠U + m∠T = 180°

54° + 54° + m∠T = 180°

108° + m∠T = 180°

m∠T = 72°

8 0

3 years ago

Joyce had business cards made through a printing company. They charge an initial fee of $12 and $3.99 for each box of 100 busine

saw5 [17]

Answer:

$31.95

Step-by-step explanation:

The total cost is the initial fee plus the cost of the boxes.

12 + 5×3.99 = 31.95

4 0

3 years ago

Can someone help me with this

Paladinen [302]

C is the answer you are looking for.

3 0

3 years ago

Read 2 more answers

How do you find the volume of the solid generated by revolving the region bounded by the graphs

d1i1m1o1n [39]

Answer:

About the x axis

$V = 4\pi[ \frac{x^5}{5}] \Big|_0^2 =4\pi *\frac{32}{5}= \frac{128 \pi}{5}$

About the y axis

$V = \pi [4y -y^2 +\frac{y^3}{12}] \Big|_0^8 =\pi *\frac{32}{3}= \frac{32 \pi}{3}$

About the line y=8

$V = \pi [64x -\frac{32}{3}x^3 +\frac{4}{5}x^5] \Big|_0^2 =\pi *(128-\frac{256}{3} +\frac{128}{5})= \frac{1024 \pi}{5}$

About the line x=2

$V = \frac{\pi}{2} [\frac{y^2}{2}] \Big|_0^8 =\frac{\pi}{4} *(64)= 16\pi$

Step-by-step explanation:

For this case we have the following functions:

$y = 2x^2 , y=0, X=2$

About the x axis

Our zone of interest is on the figure attached, we see that the limit son x are from 0 to 2 and on y from 0 to 8.

We can find the area like this:

$A = \pi r^2 = \pi (2x^2)^2 = 4 \pi x^4$

And we can find the volume with this formula:

$V = \int_{a}^b A(x) dx$

$V= 4\pi \int_{0}^2 x^4 dx$

$V = 4\pi [\frac{x^5}{5}] \Big|_0^2 =4\pi *\frac{32}{5}= \frac{128 \pi}{5}$

About the y axis

For this case we need to find the function in terms of x like this:

$x^2 = \frac{y}{2}$

$x = \pm \sqrt{\frac{y}{2}}$ but on this case we are just interested on the + part $x=\sqrt{\frac{y}{2}}$ as we can see on the second figure attached.

We can find the area like this:

$A = \pi r^2 = \pi (2-\sqrt{\frac{y}{2}})^2 = \pi (4 -2y +\frac{y^2}{4})$

And we can find the volume with this formula:

$V = \int_{a}^b A(y) dy$

$V= \pi \int_{0}^8 2-2y +\frac{y^2}{4} dy$

$V = \pi [4y -y^2 +\frac{y^3}{12}] \Big|_0^8 =\pi *\frac{32}{3}= \frac{32 \pi}{3}$

About the line y=8

The figure 3 attached show the radius. We can find the area like this:

$A = \pi r^2 = \pi (8-2x^2)^2 = \pi (64 -32x^2 +4x^4)$

And we can find the volume with this formula:

$V = \int_{a}^b A(x) dx$

$V= \pi \int_{0}^2 64-32x^2 +4x^4 dx$

$V = \pi [64x -\frac{32}{3}x^3 +\frac{4}{5}x^5] \Big|_0^2 =\pi *(128-\frac{256}{3} +\frac{128}{5})= \frac{1024 \pi}{5}$

About the line x=2

The figure 4 attached show the radius. We can find the area like this:

$A = \pi r^2 = \pi (\sqrt{\frac{y}{2}})^2 = \pi\frac{y}{2}$

And we can find the volume with this formula:

$V = \int_{a}^b A(y) dy$

$V= \frac{\pi}{2} \int_{0}^8 y dy$

$V = \frac{\pi}{2} [\frac{y^2}{2}] \Big|_0^8 =\frac{\pi}{4} *(64)= 16\pi$

6 0

3 years ago

Help I need to get this done I have 15 questions

ivanzaharov [21]

Answer:

8 cm

Step-by-step explanation:

(See the image attached for details)

The blue segment measures 15 cm
The green segment measures 7 cm
The green and yellow segment when added form the blue segment
So: ? + 7 = 15

Solve:

? + 7 = 15

Subtract 7 on both sides:

? + 7 = 15

-7 -7

? = 8 cm

Therefore, the yellow segment, or the missing side length, measures 8 cm.

4 0

3 years ago