The portion of a student’s ballpoint pen that contains the ink is a cylinder with a diameter of 0.400 cm and a height of 11.5 cm. If the ink lasts 7 weeks, what is the volume of ink that the student uses each week?

Answers

Answer 1
Answer: Volume of all of the ink is (0.2^{2})* \pi  * 11,5 = 0.46 cm^{3} . When we divide the volume by 7, we get 0.0657142857 cm^{3} of ink

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What polynomial when divided by 2y^5 yields 4y^2-2y+9 as a quotient?
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Please need help asap!!

Answers

Draw a line from Y through the center of the circle to the opposite edge. Label the opposite edge T. ZYT = 90o. That's a property of a tangent line and a diameter touching the tangent point.

ZYX = 60o Given

TYX + ZYX = 90o Property of a diameter and circles. That's

TYX = 90 - 60

TYX = 30.

The arc measurement between T and X = 60o Property of a central angle and an angle whose vertex is on the circumference sharing the same endpoints of chord are related by a ratio of 2:1.

The rest of the arc = 120o. The rest of the arc is 180 - 60 = 120. The rest of the arc is XYZ which is 120o

Arc XYZ is bisected by YW. Therefore Arc XW = 120/2 = 60

The answer is A.


A function is shown in the table.. . . xg(x). −22. −1−3. 02. 117. . . Which of the following statement is a true for this function? The function is increasing from x = −2 to x = −1..
The function is increasing from x = 0 to x = 1..
The function is decreasing from x = −1 to x = 0..
The function is decreasing from x = 0 to x = 1..

Answers

Only one statement is correct:
B ) The function is increasing from x = 0 to x = 1
Explanation: g ( 0 ) = 2, g ( 1 ) = 17,  2 < 17. 

Answer:

The statement that is true for the function is:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

We are given a table of values for the function g(x) as:

              x                g(x)

              -2                 2

               -1                 -3

                0                 2

                1                  17

    By looking at the table of values of the function g(x) we have:

The function g(x) is firstly decreasing from x=-2 to x=-1

Then it is increasing from x=-1 to x=1.

Hence, the statement that holds true from the given set of values of function g(x) is:

The function is increasing from x = 0 to x = 1.

( Since, the function takes the value at x=0 as g(x)=2

and the function takes the value at x=1 as g(x)=17)

If ladybugs have 30 cm x 10 cm rectangles for pumpkins each pumpkin needs exactly 25 square centimeters of space how many pumpkins can they plant

Answers

To calculate how many pumpkins can be planted in a given space, you need to know the total area available and the area required for each pumpkin.

You mentioned that each pumpkin needs a rectangular space of 30 cm x 10 cm, which is an area of (30 cm) * (10 cm) = 300 square centimeters.

Now, if you have the total area available, you can divide it by the area required for each pumpkin:

Total Area Available / Area Required for Each Pumpkin = Number of Pumpkins

If you provide the total area available, I can help you calculate how many pumpkins can be planted.
Ans 12

Explaination
Area = 30*10cm= 300cm^2
Each pumpkin= 25cm^2
No. Of pumpkin that can be planted= 300/25= 12

Can anyone help?? Please

Answers

3O=12/3   Divide both sides by 3.
/3

O=4

♢+2=5(4)
♢+2=20
    -2  -2      Subtract 2

 ♢=18

 2(4)+18=2∆
8+18=2∆
26=2∆
/2     /2      Divide by 2

∆=13
The circle is worth 4 because it's being multiplied by 3. Then the diamond is 18 and the triangle is -5.

What is X? 3(4x−3)= -4+7

Answers

x = 1

Step-by-step explanation:

3(4x - 3) =  - 4 + 7

Expand:

3(4x - 3) = 12x - 9 \n 12x - 9 =  - 4 + 7

Simplify:Addvalues

12x - 9 = 3

Collect like terms and simplify

12x = 3 + 9 \n 12x = 12

Divide both sides of the equation by12

(12x)/(12)  =  (12)/(12)

Simplify

x = 1

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

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Solve the proportion.

s+1/4 = 4/8
s=

Answers

Answer:

8 = 16

Step-by-step explanation:

1/4  =  4 /8

 

Cross multiply:

1 * 8 = 4 * 4

Simplifying

1 * 8 = 4 * 4

Multiply 1 * 8

8 = 4 * 4

Multiply 4 * 4

8 = 16

Solving

8 = 16