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ankoles [38]
3 years ago
9

A ball has a circumference of 9.42 cm what is the diameter ​

Mathematics
1 answer:
lyudmila [28]3 years ago
6 0

Answer:

2.998

Step-by-step explanation:

Area for the circumference of a circle: C=2pir

9.42=2pir

r=1.499

d=2r

d=2.998

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The average price of a gallon of gas increased by 12% in 2010 and by 10% in 2011. By what percentage did the average price of a
Leto [7]

Answer:

16.67% increase

Step-by-step explanation:

finding the percentage price increase

we need to find the difference in percentage price between the 2 years

12%-10% = 2%

2%/12% x 100% = 100%/6 = 16.67%

20% increase between January 1st 2010 and January 1st 2011

7 0
3 years ago
Find the distance between two points<br> (2, -3) and (2,4).
Damm [24]

Answer:

The distance between the two points is 7 units

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(2, -3) and (2,4)

substitute the values in the formula

d=\sqrt{(4+3)^{2}+(2-2)^{2}}

d=\sqrt{(7)^{2}+(0)^{2}}

d=7\ units

6 0
3 years ago
Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e^5x and z = e^2x. Th
xenn [34]

Answer:

The solutions are linearly independent because the Wronskian is not equal to 0 for all x.

The value of the Wronskian is \bold{W=-3e^{7x}}

Step-by-step explanation:

We can calculate the Wronskian using the fundamental solutions that we are provided and their corresponding the derivatives, since the Wroskian is defined as the following determinant.

W = \left|\begin{array}{cc}y&z\\y'&z'\end{array}\right|

Thus replacing the functions of the exercise we get:

W = \left|\begin{array}{cc}e^{5x}&e^{2x}\\5e^{5x}&2e^{2x}\end{array}\right|

Working with the determinant we get

W = 2e^{7x}-5e^{7x}\\W=-3e^{7x}

Thus we have found that the Wronskian is not 0, so the solutions are linearly independent.

3 0
3 years ago
On July 3rd, a family left for vacation. They drove 431.2 miles on the first day, then they drove an average of 826.4 miles each
Alexxx [7]
431.2+826.4d=2910.4
431.2 is only the first day therefore it doesn't need the variable because the variable represents the number of days. 826.4 even says "each remaining day" referring to what the variable represents.
6 0
3 years ago
A rectangle has a length of 14 inches more than twice its height. If the perimeter of a rectangle is 370 inches, find its dimens
Triss [41]
The length equals: 28 then height equals 13.2 because you do perim divide by length which gives you height, then u check and do 13.2 times 28 and get 369.6 then you just round the 6.
7 0
3 years ago
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