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rusak2 [61]
2 years ago
12

A small sphere shaped jar has a 8 cm radius.what is the volume of the bowl

Mathematics
1 answer:
blondinia [14]2 years ago
3 0
To find the volume of a sphere you have to use the equation
V = 4/3 π r³         Substitute in the r value (8)
V = 4/3 π 8³        Simplify the exponent
V = 4/3 π 512     Multiply 4/3 and 8 (In other words ; (4 x 512) / 3)
V = 682.67 π      Multiply
V = 2143.5838 cm³
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A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s.
Alex777 [14]

Answer:

Sequence = 120

Step-by-step explanation:

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

7 0
2 years ago
Which triangle is similar to ΔJKL? ΔJKM, ΔMKL, ΔKML, ΔLJK.
kirill [66]
The answer would be ΔKML because the right angle of ΔKML is in the same place as <span>ΔJKL</span>
7 0
2 years ago
Read 2 more answers
The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find
fenix001 [56]

Answer:

y2 = (6x + 7)/36 + (Dx + E)e^x

Step-by-step explanation:

The method of reduction of order is applicable for second-order differential equations.

For a known solution y1 of a 2nd order differential equation, this method assumes a second solution in the form Uy1 which satisfies the said differential equation. It then assumes a reduced order for U'' (w' = U'').

The differential equation becomes easy to solve, and all that is left are integration and substitutions.

Check attachments for the solution to this problem.

6 0
2 years ago
Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is
Anna007 [38]

As given,  

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

45000\times\frac{8.5}{100} = $3825  (this is yearly)

And for 1st month it will be = \frac{3825}{12}=  $318.75  

As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.

Hence, the new principle after the 1st month is $71.85 less than $45000

= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0
2 years ago
The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 e
ki77a [65]

Let s represent number of shirts and h represent number of hats.

We have been given that the organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each.

The cost of s shirts would be 10s and cost of h hats would be 8h. The cost of s shirts and h hats should be less than or equal to 1800. We can represent this information in an inequality as:

10s+8h\leq 1800

We are also told that organizers plan to buy at least 5 times as many shirts as hats. This means that number of shirts should be greater than or equal to 5 times hats. We can represent this information in an inequality as:

s\geq 5h

Therefore, the second inequality should be s\geq 5h and option C is the correct choice.

6 0
2 years ago
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