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3 years ago

PLZZZZZZ HELP ME I'M GIVING BRAINLIEST AND 14 POINTS

Mathematics

1 answer:

tiny-mole [99]3 years ago

5 0

Answer:

D. 2x - 2 + 3x

Step-by-step explanation:

First, add 2x and 3x. Then you get 5x. Then you get the equivalent expression 5x-2.

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A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation $A=45e^{-0.05t}$ .

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate $A=15$ and solve for t as:

$15=45e^{-0.05t}$

$\frac{15}{45}=\frac{45e^{-0.05t}}{45}$

$\frac{1}{3}=e^{-0.05t}$

Now we will switch sides:

$e^{-0.05t}=\frac{1}{3}$

Let us take natural log on both sides of equation.

$\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})$

$-0.05t\cdot (1)=\text{ln}(\frac{1}{3})$

$-0.05t=\text{ln}(\frac{1}{3})$

$t=\frac{\text{ln}(\frac{1}{3})}{-0.05}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}$

$t=-\text{ln}(\frac{1}{3})\cdot 20$

$t=-(\text{ln}(1)-\text{ln}(3))\cdot 20$

$t=-(0-\text{ln}(3))\cdot 20$

$t=20\text{ln}(3)$

Therefore, it will take $20\text{ln}(3)$ years for area of the glacier to decrease to 15 square kilo-meters.

6 0

3 years ago

How to do pathagorean triple

poizon [28]

Idek how to do that omg but 3 is a triangles sides and wdym by “do”

5 0

3 years ago

Read 2 more answers

PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST The radius of a circle is x+6 and its diameter is 3x+5. What is the circumfe

Rzqust [24]

Answer:

The circumference of the circle = 26π unit.

Step-by-step explanation:

Given:

Radius of the circle, r = "x+6"

Diameter of the circle, d = "3(x)+5"

We have to find the circumference of the circle in terms of pi.

Formula to be used:

Circumference of a circle = 2πr or πd

As we know that:

Radius = Half of diameter

So,

⇒ $radius=\frac{diameter}{2}$

⇒ $x+6=\frac{3x+5}{2}$

⇒ $2\times (x+6)=\frac{3x+5}{2}\times 2$

⇒ $2x+12=3x+5$

⇒ $12-5=3x-2x$ ...<em>Arranging variables and constants. </em>

⇒ $7=x$

Plugging x = 7 we will find the radius and the diameter.

⇒ Radius = "x+6" = "7+6" = 13

⇒ Diameter = "3(x)+5" = 3(7)+5 =26

Lets find the circumference of the circle.

⇒ Circumference = $2\pi r= 2\pi (13) = 26 \pi$ Or

⇒ Circumference = $\pi d=\pi (26)=26\pi$

The circumference of the circle = 26π unit.

4 0

3 years ago

Melissa working alone could clean one third of the area in one hour how much of the area could she clean in half of an hour.

docker41 [41]

Melissa could clean one sixth of the area in half and hour because you divide by 2 since 60 divided by 2 is 30 and she has half as much time

5 0

3 years ago

Can someone pls help me!

Dimas [21]

Answer:

hello I'll explain

Step-by-step explanation:

if u look you can see that the least amount for n is 1 .

put one in ur function you'll have

$f(1) = f(1 - 1) - 5 \\ f(1) = f(0) - 5$

f(0) is given to you so

$f(1) = - 20 - 5 = - 25$

hope you understand

5 0

2 years ago