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3 years ago

B(t)=4*e^0.8t, How many hours will it take for the population to grow to 400?

1 answer:

7 0

Given: "<span>B(t)=4*e^0.8t, How many hours will it take for the population to grow to 400?" Set B(t) = 400. Then:

400=4*e^(0.8t), or

100 = e^(0.8t)

Take the natural log of both sides, obtaining
ln 100
ln 100 = 0.8t. Then t = ----------- = 5.76 hours.
0.8</span>

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Drawing it out would be best can you help me please

leva [86]

Answer:

$z_1+z_2$ = (-2,5)

Step-by-step explanation:

To Find: $z_1+z_2$

Solution :

Referring the given graph

We can find the coordinates of $z_1$ and $z_2$

Coordinates of $z_1$ = (-7,1)

Coordinates of $z_2$ = (5,4)

Thus Coordinates of $z_1+z_2$ = (-7+5,1+4) = (-2,5)

Thus $z_1+z_2$ = (-2,5)

So, the point $z_1+z_2$ = (-2,5) is shown on the attached graph file

6 0

3 years ago

Can somebody tell me how to solve these kind of problems?

Ugo [173]

Answer: 918km^2

Step-by-step explanation:

$area(a): 1700km^2\\percentage(p): 5.75 = \frac{5.75}{100}=0.0575\\years(y): 8$

Let x be the new dimension of the area;

$x=a-(a*p*y)$

$x=(1700km^2)-(1700km^2*0.0575*8)\\x=1700km^2-782km^2\\x=918km^2$

6 0

3 years ago

Please help I am horrible at math! Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 mi

vesna_86 [32]

Answer:

<em>y=-0.2x+5. Correct choice: A)</em>

Step-by-step explanation:

<u>Modeling With Equations</u>

Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:

After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)

After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)

A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct

Testing the second point (15,2): y=-0.2*15+5=2. Correct

This is the correct choice.

B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct

Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect

Incorrect choice.

C) This equation is equal to the choice B), thus this one is incorrect.

D) y=5x-0.2. The first point (5,4) yields to:

4=5*5-0.2=24.8 Incorrect.

6 0

3 years ago

Read 2 more answers

1 1/10 divided by 1 1/5

Black_prince [1.1K]

Answer:

11/12

Step-by-step explanation:

(1 1/10)/(1 1/5) = 1.1/1.2 = 11/12

You can also work this using improper fractions:

(1 1/10)/(1 1/5) = (11/10)/(6/5) = 11/10×5/6 = (11×5)/(6×10)

= (11×5)/(6×2×5) = 11/(6×2) = 11/12

6 0

3 years ago

Read 2 more answers

You are standing at point C, 45 feet from the Point State Park fountain in Pittsburgh, PA. The distance from you to a point of t

bearhunter [10]

The tangent line DC is perpendicular to the radius of the park

The length of AC is 245 feet

<h3>How to determine the distance AC?</h3>

To calculate the distance AC, we start by calculating the length of AB using:

DC^2 = (BC + AB) * BC

So, we have:

105^2 = (45 + AB) * 45

Evaluate the exponent

11025 = (45 + AB) * 45

Divide both sides by 45

245 = 45 + AB

Rewrite as:

AB + 45 = 245

From the figure, we have:

AC = AB + 45

Substitute AB + 45 = 245

AC = 245

Hence, the length of AC is 245 feet

Read more about line of tangents at:

brainly.com/question/6617153

6 0

3 years ago