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Musya8 [376]
3 years ago
9

34,515 is divisible by a. 3 b. 9 c. 5 Explain your reasoning for your choice(s).

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

a b and c

Step-by-step explanation:

a) a number is divisible by 3 if the sum of its dígits is divisible by 3:

3+4+5+1+5=18

<em>18 is divisible by 3 (6*3=18), then 34515 is divisible by 3 too.</em>

b)a number is divisible by 9 if the sum of its dígits is divisible by 9:

3+4+5+1+5=18

<em>18 is divisible by 9 (9*2=18), then 34515 is divisible by 9 too.</em>

c) a number is divisible by 5 if its last digit is 5 or 0

then, <em>34515 is divisible by 5</em>

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Use the comparison test to determine whether the series is convergent or divergent
Lunna [17]

Answer:

b) diverges

Step-by-step explanation:

Given is a series with the terms

\frac{25}{3} +\frac{125}{9} +\frac{625}{27} +...

We find that this series follows a pattern such that each term is multiplied by 5/3 to get the next term.

In other words, this is a geometric series with  I term=25/3 and common ratio=5/3

Sum of geometric series upto n terms

=\frac{a(r^n-1}{r-1} =\frac{25}{3} (\frac{(\frac{5}{3} )^n-1}{\frac{5}{3}-1 } )\\

Since r>1, we find that this series diverges to infinity

Hence answer is

B) divergent


4 0
3 years ago
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A deli has five types of meat, two types of cheese,
german

Answer:

Step-by-step explanation:

6 0
2 years ago
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If the circumference of the circle is 37.68 units, what is the area? (Use 3.14 for pi .)
solniwko [45]

Answer: 113.04

Step-by-step explanation: The equation for the area of a circle is pi r squared so you have to find the radius first. To find the radius, find the diameter first. A way to do this which was easiest for me was dividing 37.68 by pi (3.14), which is 12. Divide the diameter by 2 to find the radius, 6.

Now use the equation from the beginning, pi r squared. So plug in pi as 3.14, then the radius as 6. It is important to always square the radius first, which would be 36. Now multiply 36 by 3.14, and there should be your answer.

7 0
3 years ago
The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the
babunello [35]

Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

P = 334 ft

L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

334 = 2(47 + 2W)

334 = 94 + 4W

334 - 94 = 4W

240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft

6 0
2 years ago
A golfer wants to determine if the type of driver she uses each year can be used to predict the amount of improvement in her gam
Black_prince [1.1K]

Answer:

The type of driver

Step-by-step explanation:

The term known as '' response variable'' is use in describing a variable that changes when you alter an examination or a test. Just like its name implies, it is the ''response'' that one gets when the other variable that is the Explanatory Variable are being altered.

In this question, the golfer will have to be changing the type of drivers that she is using in order to be able to know whether these changes in drivers will increase her game performance. Hence, the Explanatory Variable is the type of driver in which the golfer changes which is being use to define the performance of the golfer.

4 0
2 years ago
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