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3 years ago

11

A pine tree grows about 18 inches per year. After how many years will the tree be 90 inches tall? [Type your answer as a number.

]

1 answer:

Monica [59]3 years ago

3 0

5 years because when you divide 90 by 18 to get how many years it takes the tree to grow to 90 inches tall, you get 5.

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What value in place of the question mark makes the polynomial below a perfect square trinomial 9x^2+?x+64

timurjin [86]

Answer:

The middle term would be 48x

Step-by-step explanation:

In order to find this, we need to take the squares of the end terms and put them in a perfect square. Then we can distribute to find the middle term.

(3x + 8)^2

(3x + 8)(3x + 8)

9x^2 + 24x + 24x + 64

9x^2 + 48x + 64

7 0

4 years ago

A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area inside of the pen will be

irina [24]

Answer:

Dimensions of the pen:

x = 11 ft

y = 6 ft

Step-by-step explanation:

Let call "x" and "y" dimensions of the rectangular pen and x > y, so the interior fences will be equal to y.

The exterior length is 2*x + 2*y and its cost is (2*x + 2*y ) *20.40

The interior fences are 2*y and its cost is 2*y* 17

Total cost C = (2*x + 2*y ) *20.40 + 2*y* 17 (1)

Now area inside the pen is 66 ft² and it is equal to:

A = x*y ⇒ 66 = x*y ⇒ y = 66/x

Plugging that value in equation (1) will give C as a function of x

C(x) = [ 2*x + 2* (66/x) ]* 20.40 + 2* (66/x) * 17

C(x) = ( 2*x + 132/x ) 20.40 + 2244/x

C(x) = 40,80*x + 2692.8/x + 2244/x

C(x) = 40.80*x + 4936,8/x

Taking derivatives on both sides of the equation we get

C´(x) = 40.80 - 4936,8/x²

C´(x) = 0 ⇒ 40.80 - 4936,8/x² = 0 ⇒ 40.80 *x² = 4936,8

x² = 4936,8 / 40.80 ⇒ x² = 121 ⇒ x √121

x = 11 ft

And y = 66/x ⇒ y = 66/11 ⇒ y = 6 ft

3 0

4 years ago

Name the plane represented by each surface of the box.<br><br> the top

nydimaria [60]

Answer:

Hello the required image is missing attached below is the missing box

answer : FHGE

Step-by-step explanation:

The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.

6 0

3 years ago

When randomly selecting an adult, A denotes the event of selecting someone with blue eyes. What do Upper P (Upper A )P(A) and U

bezimeni [28]

Answer:

P(A): It is the probability of selecting someone with blue eyes.

$P(\bar{A})$ : It is the probability of selecting someone who does not have blue eyes

Step-by-step explanation:

We are given the following in the question:

A: event of selecting someone with blue eyes.

Probability:

The probability of an event tells the chances of happening of that event.

It is mathematically defined as:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

Complement of an event:

It is the event that consist of all outcomes not happening in A.

It is represented by $\bar{A}$

$P(A) + P(\bar{A}) = 1$

We have to explain the representation:

a) P(A): It is the probability of selecting someone with blue eyes.

It gives us the chances of someone having blue eyes.

b) $P(\bar{A})$ : It is the probability of selecting someone who does not have blue eyes

It is the chances of selecting someone who does not have blue eyes.

4 0

3 years ago

Can someone help me?

frutty [35]

To multiply a fraction with another fraction, we multiply the numerators the denominators:

(5/2) x (2/3) = (5 x 2) / (6 x 3) = 10/18 = 5/9

8 0

3 years ago