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V125BC [204]
2 years ago
16

The graph shows the function representing the recommended amount of mulch, in cubic yards, for circular flowerbeds based on the

radius of the flowerbed in feet. If the vertex of the function is at the point (0, 0.5), what is the recommended amount of mulch for a flowerbed with a radius of 20 feet? Round to the nearest tenth if necessary. 7 cubic yards 13 cubic yards 25.5 cubic yards 31 cubic yards
Mathematics
1 answer:
MAVERICK [17]2 years ago
4 0

Answer: 13

Step-by-step explanation:

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A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h crosswind blowing due east
crimeas [40]

Answer:

Step-by-step explanation:

v = {[(20sin36°)i + (20cos36°)j] + 10i} mi/h

 

vE = 20sin36º + 10 = 21.76 mi/h

 

vN = 20cos36° = 16.18 mi/h

 

v = √(vE2 + vN2) = √(21.762 + 16.182) mi/h = 27.12 mi/h

 

θ = tan-1(vN/vE) = tan-1(16.18/21.76) = 36.6º north of east

3 0
1 year ago
The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain
Amiraneli [1.4K]

Answer:

The domain is (-∞ , ∞)

The domain is continuous

Step-by-step explanation:

Here, we want to identify the domain of the linear function

The domain in this case can be represented by the set of all real numbers.

When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis

Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books

Thus, the domain here will be (-∞ , ∞)

On if the domain is discrete or continuous, we can see that the domain is continuous.

The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous

8 0
1 year ago
A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi
sergey [27]

Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.

7 0
1 year ago
Find the slope of the line on the graph write your answer as a fraction or a whole number not a mixed number or decimal.
Scorpion4ik [409]

Answer: 1

Step-by-step explanation:

Change in y/change in x

starting at y intercept. up 1 unit (change in y) and over 1 unit (change in x) to get to next point on line.

slope is 1/1 which reduces to 1.

3 0
1 year ago
Read 2 more answers
Is the sum of the areas of two smaller squares equal to the area of a large square if the sides lengths of the squares are 8 fee
77julia77 [94]
No.
The sum of the areas of the two smaller squares is 5^2 + 3^2 = 34
The area of the larger square is 8^2=64
34 does not = 64
5 0
1 year ago
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