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Dmitry_Shevchenko [17]
3 years ago
12

What was the purpose of the Pendleton Act?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

The act was signed into law by President Chester A. Arthur.

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A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 2 inches. The va
nadezda [96]
The volume of water in the vase is the difference of volume of cylinder and that of the marbles. 
            Vcylinder = πr²h = π(6 in)²(12 in) = 432π in³
            Vmarbles = 9(4πr³/3) = 9(4π(3 in)³/3) = 324 π in³
The difference of the volumes is 108π in³. 
7 0
3 years ago
How to solve this equation
sweet-ann [11.9K]

Set up an equation for each store by multiplying the cost of the basketball by the number of basketballs bought (b) and add the cost of the hoop:

Hoops House: total = 20b + 200

Baller Basement: total = 15b + 250

Now to solve for b, set the two equations equal to each other:

20b + 200 = 15b + 250

Subtract 15b from both sides:

5b + 200 = 250

Subtract 200 from both sides:

5b = 50

Divide both sides by 5:

B = 10

The answer is 10 basketballs

6 0
3 years ago
In an arithmetic sequence, a_17 = -40 and a_28 = -73. Please explain how to use this information to write a recursive formula fo
Vinvika [58]

An arithmetic sequence

a_1,a_2,a_3,\ldots,a_n,\ldots

is one in which consecutive terms of the sequence differ by a fixed number, call it <em>d</em>. This means that, given the first term a_1, we can build the sequence by simply adding <em>d</em> :

a_2=a_1+d

a_3=a_2+d

a_4=a_3+d

and so on, the general pattern governed by the recursive rule,

a_n=a_{n-1}+d

We can exploit this rule in order to write any term of the sequence in terms of the first one. For example,

a_3=a_2+d=(a_1+d)+d=a_1+2d

a_4=a_3+d=(a_1+2d)+d=a_1+3d

and so on up to

a_n=a_1+(n-1)d

In this case, we're not given the first term right away, but the 17th. But this isn't a problem; we can use the same exploit to get

a_{18}=a_{17}+d

a_{19}=a_{17}+2d

a_{20}=a_{17}+3d

and so on, up to the next term we know,

a_{28}=a_{17}+11d=-40+11d

(Notice how the subscript of <em>a</em> on the right and the coefficient of <em>d</em> add up to the subscript of <em>a</em> on the left.)

The 28th term is -73, so we can solve for <em>d</em> :

-73=-40+11d\implies -33=11d\implies d=-3

To get the first term of the sequence, we use the rule found above and either of the known values of the sequence. For instance,

a_{17}=a_1+16d\implies-40=a_1-16\cdot3\implies a_1=8

Then the recursive rule for this particular sequence is

\begin{cases}a_1=8\\a_n=a_{n-1}-3&\text{for }n>1\end{cases}

7 0
3 years ago
(3x-60)° or (x+50)° please help.
Schach [20]

Step-by-step explanation:

Combine like terms: 40 + 60 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50.

5 0
3 years ago
A group of friends chartered a deep-sea fishing boat out of Destin, FL. The graph below represents the total cost, in dollars, o
liq [111]

Answer:

D: $26.25 I just took the assessment and got it right

5 0
3 years ago
Read 2 more answers
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