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3 years ago

The rate of change of y with respect to t is proportional to 50 - y

1 answer:

3 0

We can write and solve the differential equation that fits the statement given;
dy/dt = k(50-t)
∫dy = ∫ k(50-t)dt
= ∫ (50k - kt) dt
therefore;
y = 50kt - k/2(t²) + C
Alternatively, can be written as
y = - k/2 (50-t)² + C)

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Whoever answers I’ll mark brainliest

Andre45 [30]

Answer:

x is 60⁰ because 180 - 40 is 120 divide it by 2 because the bottem angles are equal and u get 60

5 0

2 years ago

What is the square root of 96 Follow my new brainly at: fol

Ugo [173]

Answer:

4√6

Step-by-step explanation:

For right now, I will assume that the "Follow my new brainly at.." part is irrelevant.

Anyways, to find the square root of a number, usually the best way is to find its prime factorization first:

96 : $2^5\cdot \:3$

We can rewrite that as:

$\sqrt{2^4\cdot \:2\cdot \:3}$

Simplify!

$2^{\frac{4}{2}}\sqrt{2\cdot \:3}$

Since $2^{\frac{4}{2}}\sqrt{2\cdot \:3}$ is the same thing as $4\sqrt{6}$ , that is our answer.

Thusly, as seen above, the answer is $\boxed{4\sqrt{6}}$ .

Hope this helps! ((;

3 0

3 years ago

Count the left handed and right handed spirals on the cacti in the photograph you should get two consecutive terms of the Fibona

lana [24]

You can count the spirals because they are coloured.

The left handed spirals are in red and you can count 13.

The rifht hanged spirals are in yellow and you can count 21.

Fibonacci sequence is: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... From 2 the next number is the sum of the two previous numbers:

2 = 1 + 1

3 = 2 + 1

5 = 3 + 2

8 = 5 + 3

13 = 8 + 5

21 = 13 + 8.

Fibonacci numbers are found in many structures in nature.

We have just found that these cacti enclose Fibonacci numbers 13 and 21.

Answer: 13 and 21

8 0

3 years ago

If x=12 in, y=16, and z=20 in, what is the surface area of the geometric shape formed by this net?

maria [59]

Given:

x = 12 in, y = 16 in and z = 20 in

To find:

The surface area of the geometric shape.

Solution:

Area of top rectangle = z × z

= 20 × 20

Area of top rectangle = 400 in²

Area of middle rectangle = z × y

= 20 × 16

Area of middle rectangle = 320 in²

Area of bottom rectangle = z × x

= 20 × 12

Area of bottom rectangle = 240 in²

Area of left triangle = $\frac{1}{2}yx$

$$=\frac{1}{2}\times16\times12$

Area of left triangle = 96 in²

Area of right triangle = $\frac{1}{2}yx$

$$=\frac{1}{2}\times16\times12$

Area of right triangle = 96 in²

Surface area = 400 + 320 + 240 + 96 + 96

= 1152

The surface area of the geometric shape is 1152 in².

3 0

2 years ago

two trains leave towns 480 km apart at the same time and travel toward each other. one train travels 18 km/h faster than the oth

KonstantinChe [14]

$\begin{gathered} \text{Let assume one train spe}ed\text{ is x km/h} \\ \text{Second train spe}ed\text{ is }\Rightarrow(x+18)\text{ km/h} \\ \text{They m}eet\text{ in 2 hour,so} \\ 2=\frac{480}{x+x+18} \\ 2x+18=\frac{480}{2} \\ 2x=240-18 \\ x=\frac{222}{2} \\ x=111\text{ km/h (1st train spe}ed) \\ x+18=111+18=129\text{ km/hr (2nd rain sp}eed)\text{ } \end{gathered}$

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1 year ago