MATHEMATICS HIGH SCHOOL

What is answer to the question

Answers

Answer 1

Answer:

Answer:

V = 825

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

The radius is 1/2 d = 1/2 (10) =5

Using 3 for pi

V = 3 ( 5)^2 * 11

V = 825

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Is y = 3x+4 and y=3x-5 parallel, perpendicular or neither?

Answers

Answer: These Lines are Parallel

Step-by-step explanation: For two lines to be parallel, they must have the same slope with different y-intercepts. Both of the lines above have a slope of 3 and differing y-intercepts of 4 and -5. Therefore, these lines must be parallel to one another.

Answer:

one sec sorry

Step-by-step explanation:

The sum of three consecutive numbers is 117. find the largest of the numbers

Answers

consecutive means right after each other
difference of 1
numbers are
x,x+1,x+2
their sum is 117
x+x+1+x+2=117
add
3x+3=117
subtract 3 form both sides
3x=114
divide both sides by 114
x=38
largest number is x+2
38=x
x+2=38+2=40

largest number is 40

Divide 117 by three to get the middle name number, then you subtract one and add one to 1 of the three 39's to get your numbers as 38, 39, 40. And the largest number. Is 40. Hope this helped.

There were 3 times as many baby dinosaurs as adult dinosaurs. what does that mean?

Answers

It means , however, many dinos there are times it by 3 to get your answer for the baby dinos

Answer:

Times how ever many adult dinosaurse by 3 to get how ever many baby dinos there are

Step-by-step explanation:

Which set of ordered pairs has point symmetry with respect to the origin (0,0) 1- (-12,5), (-5,12)
2- (-12,5), (12,-5)
3- (-12,5), (-12,-5)
4- (-12,5), (12,5)

Answers

$(x;\ y)\xrightarrow {S_((0;0))}(-x;-y)\n\n(-12;\ 5)\xrightarrow{S_((0;0))}(12;-5)\n\nAnswer:2$

A certain type of bacteria doubles every 8 hours. A culture begins with 30 000. Without use of given equation, use the help of your ability to set up a pattern to determine how many bacteria are there after a) 8 hours b) 16 hours c)d days

Answers

Not sure what you mean by "without use of given equation".
At time 0hrs, there is 30 000.
Since it doubles every 8hrs, at time 8hrs there is 60 000 or 30 000 x 2
In another 8hrs, it will double again, so at time 16hrs, it will be 120 000 or 30 000 x 2 x 2
In another 8hrs, double again, so at time 24hrs, it will be 240 000 or 30 000 x 2 x 2 x 2
This is also 30 000 x 8 as 2x2x2=8. I'll come back to this later.

You add an extra x 2 for each 8 hrs. By the end of the 2nd day, it would be
30 000 x2 x2 x2 x2 x2 x2
This is also
30 000 x8 x8
Every day we add an extra x8
We use powers to specify this.
30 000 x 8^d
So after 4 days
30 000 x 8^4 = 30 000 x8 x8 x8 x8
Note that this is NOT the same as 30 000 x 8 x 4

One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost of 2 apple and the cost of 1 pear.

Answers

Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
   = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.

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