1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lerok [7]
3 years ago
12

A forest fire covers 1600 acres at time t=0. the fire is growing at a rate of 9\sqrt{t} acres per hour, where t is in hours. how

many acres are covered 16 hours later?
Mathematics
1 answer:
babymother [125]3 years ago
5 0
To solve this problem you must apply the proccedure shown below:

 1. You have that the forest fire covers 1600 acres at time t=0. the fire is growing at a rate of 9√t<span> acres per hour. Therefore, you have:
</span>
 1600+∫(9√t)dt (from 0 to 16)

 2. Then, when you solve it, you obtain:

 1600+6t^3/2=1984

 3. Therefore, as you can see, the answer is: 1984 acres. 
You might be interested in
The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: D
Igoryamba

Answer:

Fraction = \frac{19}{50}

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area = \frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}

                                                                     = \frac{38}{100}

                                                                     = \frac{19\times 2}{50\times 2}

                                                                     = \frac{19}{50}

Decimal form of the shaded area = \frac{38}{100} =  0.38

Percent of the shaded area = \frac{38}{100} = 38%

7 0
2 years ago
Expand the expression −11(3c−2d)<br> using the Distributive Property.
Sladkaya [172]

Answer:

-33c+22d

Step-by-step explanation:

=(−11)(3c+−2d)

=(−11)(3c)+(−11)(−2d)

5 0
2 years ago
What is the probability of flipping two coins and both landing on heads
prisoha [69]

Answer:

The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25. The second useful rule is the Sum Rule.

3 0
3 years ago
Read 2 more answers
Please help asap<br><br> solve x^4+5x^2+4=0
const2013 [10]

Answer:

x=\pm i\text{ or }x=\pm2i

Step-by-step explanation:

So we have the equation:

x^4+5x^2+4=0

Let's let u be equal to x². So:

u^2+5u+4=0

Factor:

(u+1)(u+4)=0

Zero Product Property:

u+1=0\text{ or } u+4=0

Subtract:

u=-1\text{ or }u=-4

Replace:

x^2=-1\text{ or }x^2=-4

Take square root:

x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4

Simplify:

x=\pm i\text{ or }x=\pm2i

7 0
2 years ago
Joshua randomly selects a vehicle to test drive. There are 12 cars, 9 trucks, and 4 vans on the lot. What is the probability Jos
eimsori [14]

Step-by-step explanation:

<em>The</em><em> </em><em>number</em><em> </em><em><u>of</u></em><em><u> </u></em><em><u>vehicle</u></em><em><u>s</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>2</u></em><em><u>5</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>no</u></em><em><u>.</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>truck </u></em><em><u>is</u></em><em><u> </u></em><em><u>9</u></em><em><u> </u></em><em><u>so</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>probability </u></em><em><u>is</u></em><em><u> </u></em><em><u>9</u></em><em><u>/</u></em><em><u>2</u></em><em><u>5</u></em>

4 0
3 years ago
Other questions:
  • Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] <img src="https://tex.z-dn.net/?f=Find%20the
    11·1 answer
  • The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and
    9·1 answer
  • Original price: $50; markdown: 2.2%; retail price:
    7·1 answer
  • Please help!....! this is due today !
    15·1 answer
  • 40 80 100 how many triangles can you make
    5·1 answer
  • The value of 2 in2,783 is what timesthe value of 2 in 7,283
    7·2 answers
  • PLEASE ASAP! Answer the questions to compare the mean number of deliveries for the three companies.
    8·1 answer
  • Find the whole. 140% of____ is 56.<br><br><br> for homework i need help asap
    9·1 answer
  • Plot the following points: A (-2, 2) B (-4,-4) C(1,-4) D (3, 2) Connect the points. What is the name of the polygon? How long is
    5·1 answer
  • Write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!