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Nastasia [14]
3 years ago
9

A field is to be fertilized at a cost of $0.08 per square yard. The rectangular part of the field is 95 yards long and the diame

ter of each semicircle is 49 yards. Find the cost of fertilizing the field. Use 3.14 for π

Mathematics
1 answer:
dem82 [27]3 years ago
6 0

this gives
total area of the field = 4655 sqyrd + 1884.79 sqyrd = 6539.79 sqyrd
 cost of fertilising 1 sqyrd = $ 0.08
 so cost of fertilising 6539.79 sqyrd = 6539.79 * $ 0.08 = $ 523.18

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Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls.
densk [106]
Since there are 14 boys and the whole class has 31 students
We get, the ratio of the part-to-whole relationship for boys is 14/31.

And since there are 17 girls
We get, the ratio of the part-to-whole relationship for girls is 17/31.
7 0
1 year ago
William,Jan and Greg have a total of $26. Greg has the most money. Jan has twice as much money as William. Greg has $11 dollars.
Alexeev081 [22]

Answer:

$10

Step-by-step explanation:

Greg's amount of money =  $11

26-11 = 15 =  

Jan's amount of money = $10

William's amount of money = $5

5x2 = 10

6 0
3 years ago
How to solve these 3 problems
Bingel [31]

Answer:

  1. a. decay; b. growth; c. decay; d. neither
  2. r = 4; a = 1; y = 1·4^x
  3. a. an = 3(5^(n-1)); b. f(x) = (3/5)(5^x); c. exponential growth; d. y-intercept: 3/5; first term: 3.

Step-by-step explanation:

There are two kinds of exponential problems here.

  1. exponential functions of the form f(x) = a·b^x
  2. exponential sequences of the explicit form an = a1·r^(n-1)

The second problem gives you a table that suggests the sequence form, but it asks for the exponential function form. The third problem does something similar.

__

<h3>1.</h3>

In an exponential function of the form f(x) = a·b^x, the function grows if b>1 and decays if b<1. Using this check, we can easily answer ...

  a. 0.4 < 1 . . . decay

  b. 1.3 > 1 . . . growth

  c. 1/2 < 1 . . . decay

  d. 1 = 1 . . . neither growth nor decay; the function is constant: j(x) = 1.

__

<h3>2.</h3>

The value of x is given starting at 1, so we can consider this a geometric sequence. The common ratio is r = 16/4 = 4. The first term is a1 = 4, so the explicit formula for the sequence is ...

  an = 4·4^(n-1)

When this is expanded to get rid of the constant in the exponent, we have ...

  an = 4·(4^n)·(4^-1) = 1·4^n

We recognize this form as matching the functional form f(x) = a·r^x. The multiplier of the exponential factor is a=1. In summary, ...

  r = 4; a = 1; f(x) = 1·4^x

__

<h3>3.</h3>

The first term of this geometric sequence is a1 = 3. The common ratio is r = 15/3 = 5. Using the explicit formula, we have ...

 a. explicit form: an = 3·5^(n-1)

Using the method of question 2 to write the functional form, we find ...

  an = 3(5^n)(5^-1) = (3/5)(5^n)

  b. functional form: f(x) = (3/5)(5^x)

  c. function family: exponential growth functions

 d. y-intercept: (3/5) . . . . read this from the f(x) form

     1st term: the first term listed in the given sequence is 3

_____

<em>Additional comment</em>

The "y-intercept" of a sequence is irrelevant (undefined), as the sequence term numbering starts with 1, not 0. The domain of the explicit formula is <em>natural numbers</em>, which does not include 0.

Similarly, the "first term" of a function f(x) needs further definition. Here, we've answered the question by saying the first term is f(1). There is no conventional definition of a "first term" for a continuous function.

3 0
2 years ago
3/n of 32 is 24 solve for n
Sonbull [250]

Answer:

n=4

Step-by-step explanation:

Of means multiplying so,

\frac{3}{n}×32=24

Multiply by n on both sides to get rid of the n denominator.

3×32=24n

Simplify the equation.

96=24n

Divide by 24.

n= 4

6 0
3 years ago
Read 2 more answers
Multiplicaciones que den 35
tester [92]

Multiplications that give 35

7*5

3 0
2 years ago
Read 2 more answers
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