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Stolb23 [73]
3 years ago
10

The height of a sunflower can be modeled by the expression H (1.02)t where t represents the number of years since it was planted

and H represents the height when the sunflower was planted. What is the yearly growth of the sunflower?
Mathematics
1 answer:
Irina18 [472]3 years ago
3 0

Answer:

2%

Step-by-step explanation:

Giveb the model expression :

H = (1.02)^t

General relation:

H = (1 + rate)^t

Rate = yearly growth rate of sunflower

1 + rate = 1.02

Rate = 1.02 - 1

Rate = 0.02

Hence yearly growth rate of sunflower is :

0.02 * 100%

= 2%

2% growth per year.

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KiRa [710]

Answer:

It has a scalar factor of 2.5

Step-by-step explanation:

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You can also see one of the side square

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4 years ago
Select the choice containing all of the congruent sides from the two triangles.
Lynna [10]

Answer:

B.

Step-by-step explanation:

The order of the letters in the side's name should correspond to their position  in the name of the triangle.

5 0
4 years ago
Find the solution of the given initial value problem in explicit form. y' = (1 – 11x)y?, y(0) = -1 Enclose numerators and denomi
Tanya [424]

Answer:

y(x)=-e^{x-(\frac{11*x^{2} }{2}) }

Step-by-step explanation:

This is a separable equation. First divide both sides by y:

\frac{dy(x)}{\frac{dx}{y(x)} } =-11x+1\\\frac{dy}{y}=(-11x+1)dx

Integrate both sides:

\int\ \frac{dy}{y} \ =\int\ (-11x+1) \, dx

log(y)=-(\frac{11*x}{2} )+x+ c_1

Solve for y taking exp to both sides:

y(x)=c_1*e^{x-(\frac{11*x^{2} }{2}) }

Where c_1 is an arbitrary constant

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y(0)=c_1*e^{0-(\frac{11*0^{2} }{2}) } =-1

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Finally, replacing c_1 in the differential equation solution:

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8 0
3 years ago
g A catering service offers 7 %E2%80%8b Appetizers, 9 main%E2%80%8B courses, and 5 desserts. A banquet committee is to select 2
Feliz [49]

Answer:

945 ways

Step-by-step explanation:

<u>Total</u>

  • Number of Appetizers = 7
  • Number of main courses = 9
  • Number of desserts =5

<u>Required Selection</u>

  • Number of Appetizers = 2
  • Number of main courses = 8
  • Number of desserts =4

2  Appetizers out of 7 can be selected in ^7C_2 ways

8 main courses out of 9 can be selected in ^9C_8 ways

4 desserts out of 5 can be selected in ^5C_4 ways

Therefore, the number of ways this can be done

=^7C_2 \times ^9C_8 \times ^5C_4

=945 ways

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Answer:

The final balance is $1,692.94.

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4 years ago
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