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
katrin [286]
3 years ago
5

1. Meteorologists can determine the duration of a storm by using the function defined by T(D)= 0.07D3/2, where D is the diameter

of the storm in miles and T is the time in hours. Find the duration of a storm with a diameter of 16 mi. Round your answer to the nearest tenth of an hour.
2. The threshold weight T, in pounds, for a person is the weight above which the risk of death increases greatly. The threshold weight in pounds for men aged 40 – 49 is related to height h in inches by the function defined by h(T)=(1860.867T)1/3. What height corresponds to a threshold weight of 200 lb for a 46 yr – old man? Round your answer to the nearest inch and then to the nearest tenth of a foot.
Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

1. 4.48 hours

2. 72 inches and 6 feet.

Step-by-step explanation:

1. The function defined byT(D) = 0.07D^{\frac{3}{2}} helps Meteorologists to determine the storm duration, where D is the diameter of the storm in miles and T is the time in hours.

So, the song duration in hours for a storm diameter of 16 miles will be

T(16) = 0.07(16)^{\frac{3}{2}} = 4.48 hours. (Answer)

2. The threshold weight (T), in pounds for men aged 40 – 49 is related to height h in inches by the function defined by h(T) = (1860.867 T)^{\frac{1}{3} }.

Therefore, the height in inches corresponding to a threshold weight of 200 lbs for a 46 yr-old man will be

h(200) = (1860.867 \times 200)^{\frac{1}{3}} = 71.93 inches ≈ 72 inches (to the nearest inches)

= 5.994 feet ≈ 6 feet ( to the nearest tenth of a foot) (Answer)

You might be interested in
If m ∥ k and m ∥ ℓ, then _____
saul85 [17]

Answer:

\large\huge\boxed{\text{If}\ m\ ||\ k\ \text{and}\ m\ ||\ l,\ \text{then}\ k\ ||\ l}

4 0
3 years ago
What is the simplified form of the following expression √1/169
kiruha [24]
1/13 

Hope this helps :)


6 0
3 years ago
Read 2 more answers
The inhabitants of the island of jumble use the standard kobish alphabet ($20$ letters, a through t). each word in their languag
rjkz [21]
We know that

<span>1. The number of all 4-letter words written using the alphabet of 20 symbols (from A to T) is 
20</span><span>^4=160,000
</span><span>
 2. The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is 
19</span><span>^4=130,321
</span><span>
 3. The difference represents exactly the number of all words of the inhabitants of the island of Jumble
difference=</span>(160,000-130,321)= 29679.

the answer is
29679
7 0
3 years ago
Which figure is the image produced by applying the composition T 0,3 o R0,90 to figure R?
Lyrx [107]

We are given original image R.

It is being translated by (0,3) first and then rotated by a positive angle 90 degrees.

Translation by (0,3) represents (x,y) --> (x, y+3) rule.

Positive 90 degree rotation represents, counterclockwise rotation.

The rule for counterclockwise rotation is (x,y) --> (-y,x).

Therefore, final rule for would be

(x,y) --> ( -y,x+3 )

Let us take a coordinate of R on y-axis as (0,-4).

Now if we apply rule (x,y) --> ( -y,x+3 ) we get

(0,-4)  --> (-(-4), 0+3) = (4,3).

Let us check the figure with coordinate (4,3).

We can clearly see that Figure H has transformed coordinate (4,3).

<h3>Therefore, correct option is first option A. figure H.</h3>
8 0
3 years ago
Need fast in plz help me quick
Eva8 [605]
6)x-7+10 7)3+x+1 8)8x-16 9)x/2-9
5 0
3 years ago
Read 2 more answers
Other questions:
  • Destiny designs necklaces.
    14·1 answer
  • if the length of the rectangle is twice the width and the perimeter of the rectangle is 30 centimeters what is the length of the
    6·1 answer
  • Tarik has completed 25% of the MAP assessment. If there are 56 total questions on the test. How many has he completed
    9·1 answer
  • 8/3 = 2+X what is the single step answer
    8·2 answers
  • [2(cos15° + isin15°)]^4
    10·1 answer
  • A sequence is given by rule 4n-5 generate the first 5 terms of the sequence​
    15·2 answers
  • 3÷ 1/2 1÷1/4 1/2÷2 1/3=4 2÷ 1/6 1/4÷3​
    9·1 answer
  • Find the equation of a parabola with a focus at (0,–1) and a directrix at y = 4.
    13·1 answer
  • So I’ve got 7th grade math homework and I don’t really get this
    5·1 answer
  • 14.62 rounded to the nearest number
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!