Find the value of x and y if 50=x+y

A cylindrical tube 9.5 cm high and 0.85 cm in diameter is used to collect blood samples. How many cubic decimeters (dmଷ ) of blo

Brums [2.3K]

Answer: 0.539 cubic decimeters of blood can be hold by the cylinder.

Step-by-step explanation:

Volume of cylinder= volume of blood it can hold = $\pir^2h$

Given :

Height of cylinder (h) = 9.5 cm

Diameter of cylinder (d) = 0.85 cm

Thus radius of cylinder (r) = $\frac{\text {Diameter of cylinder}}{2}=\frac{0.85cm}{2}=0.425cm$

Putting the values we get:

Volume of cylinder= volume of blood it can hold = $3.14\times (0.425cm)^2\times 9.5cm=5.39cm^3=0.539dm^3$ [tex] (1cm=0.1dm)

Thus 0.539 cubic decimeters of blood can be hold by the cylinder.

4 0

3 years ago

Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9

11111nata11111 [884]

Answer:

2.4

Step-by-step explanation:

To find the mean absolute deviation, find how much each value is away from the mean, and divide it by the number of numbers you have. In this case, the mean is 5, and the deviation of each number is 4, 2, 0, 2, and 4. Add these up and you get 12. Divide 12 by the number of numbers which you have, which is 5, to get 2.4.

3 0

3 years ago

D=7.9cm. what is the circumference and area of the circle?

In-s [12.5K]

Circumfrence: pi times diameter
7.9* $\pi$
circumfrence is approximatley 24.806

area: $\pi r^2$
a= $\pi$ *(1/2(d))^2
a= 48.99

8 0

3 years ago

Read 2 more answers

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Daniella is interviewing for a job. She wants her take-home pay to be at least $51,000

Lilit [14]

Okay. So Daniella wants to have a take-home pay of at least $51,000, but she ahs to pay 15% income tax, which means 15% of what she earns will be gone. To find out the least amont of salary she needs to make, we can write and solve a proportion. Set it up like this:

51,000/x = 85/100

This is because we are looking for the amount of money made overall, but the $51,000 is only part of the salary earned, and even though you pay 15% income tax, you still take home 85% of your salary. Cross multiply the valyes in order to get 5,100,000 = 85x. Divide each side by 85 to isolate the variable. 5,100,000/85 is 60,000. Let's check this by multiplying by 85% (0.85). 60,000 * 0.85 is 51,000. There. x = 60,000. Daniella will need to make at least $60,000.

5 0

3 years ago