A teacher working's day is 7 1/2 hours long. one certain day, he spent 3 1/2 hours teaching and 2 1/2 hours marking student assignment. What fraction did he spend (a) Teaching (b) Marking.​

Answer:

The circumfrence is 150pi.

Step-by-step explanation:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

Answer:

20 cm

Step-by-step explanation:

Given that :

P = 1/25 r²h

P = price = 240 ; h = height = 15cm

Inputting values into the equation :

240 = 1/25 * r² * 15

25 * 240 = 15r²

6000 = 15r²

6000 / 15 = r²

400 = r²

Square root of both sides

20 = r

Radius = 20cm

Answer:

Hello! answer: 4.5

Step-by-step explanation:

The answer is 4.5 because 4.5 × 8 = 36 So 4.5 is our height! Hope this helps!

Answer:

4

Step-by-step explanation:

area = base * height

36 = 8 * height

4 = height

Answer:

it should be c. 5/8

Step-by-step explanation:

Since the spinner is out of 8 and the probability is asking for above 3, subtract the 3 from the 8, and you get 5/8

im not too sure if this makes sense, or if it works for everything, but it does help with this. Hope i helped :)

Answer:

C. 5/8

Step-by-step explanation:

Answer:

C. 50.24 feet

Step-by-step explanation:

The formula for circumference is 2rπ (two times radius times pi)

2 * 8  * 3.14 = 50.24

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

Answer:

[tex]y = 30x+290[/tex]

Step-by-step explanation:

Given

[tex]y=-x^2+65x+256[/tex]

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =1[/tex]

[tex]y=-(1)^2+65*1+256[/tex]

[tex]y=-1+65+256[/tex]

[tex]y=320[/tex]

This implies:

[tex](x_1,y_1) = (1,320)[/tex]

On day 34, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =34[/tex]

[tex]y=-(34)^2+65*34+256[/tex]

[tex]y=-1156+2210+256[/tex]

[tex]y=1310[/tex]

This implies:

[tex](x_2,y_2) = (34,1310)[/tex]

To calculate the linear function of the competitor, we have:

[tex](x_1,y_1) = (1,320)[/tex]

[tex](x_2,y_2) = (34,1310)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{1310 - 320}{34-1}[/tex]

[tex]m = \frac{990}{33}[/tex]

[tex]m = 30[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 30 * (x - 1) + 320[/tex]

Open bracket

[tex]y = 30x - 30 + 320[/tex]

[tex]y = 30x+290[/tex] --- This represents the linear function of the competitor's website

The  linear function of the competitor's website is represented by y=30x-290.

We have given that,the function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched.

We have to find the linear function of a competitor's website.

For the day 1, both websites have the same subscribers.

This implies that

[tex]y=-x^2+65x+256[/tex]

x represent the value of day

so plug x=1 we get

[tex]y=(-1)^2+65+256[/tex]

[tex]y=-1+65+256\\y=320[/tex]

Therefore we get the point

[tex](x_1,y_1)=(1,320)[/tex]

On day 34, both websites have the same subscribers.

[tex]y=-x^2+65x+256[/tex]

x=34

[tex]y=-(34)^2+65\times 34+256[/tex]

[tex]y=-1156+2210+256\\y=1310[/tex]

[tex](x_2,y_2)=(34,1310)[/tex]

[tex](y_2-y_1)=m(x_2-x_1)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{1310-320}{34-1} \\m=\frac{990}{33} \\m=30[/tex]

Now slope point form is

[tex]y-y_1=m(x-x_1)[/tex]

Theefore we get

[tex]y=30(x-1)+320[/tex]

[tex]y=30x-290[/tex]

Therefore, the linear function of the competitor's website is represented by y=30x-290.

To learn more about the linear model visit:

https://brainly.com/question/25987747

Answer:

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

xy - plane    (x, y, z) = (2, -1, 0)

yz - plane    (x, y, z) = (0, 5, -8)

xz - plane     (x, y, z) = (5, 0, 12)

Step-by-step explanation:

The given point (x, y ,z) = (4, 1, 8)

The plane x -y + 4z = 2

Normal vector (n) = < 1, -1, 4 >

The equation of line through point (4, 1, 8) and the plane is:

(x(t), y(t), z(t)) = (4, 1, 8) + t(1, -1, 4)

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

Any point on the line P(x, y, z) = ( 4 + t, 1 - t, 8 + 4t)

xy-Pane ⇒ z = 0

8 + 4t = 0

4t = - 8

t = -8/4

t = -2

∴

(x, y, z) = (4 - 2, 1 - 2, 8 + 4(-2))

(x, y, z) = (2, -1, 0)

yz-plane ⇒ x = 0

4 + t = 0

t = -4

∴

(x, y, z) = (4 + (-4) , 1-(-4), 8 + 4(-4)

(x, y, z) = (0, 5, -8)

xz-plane ⇒ y = 0

1 - t = 0

-t = -1

t = 1

∴

(x, y, z) = ( 4 + 1, 1 - 1, 8 + 4(1) )

(x, y, z) = (5, 0, 12)

The probability that more than 4 of the flips turn up tails will be 6.10%.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

The probability that out of n trials, there'd be x successes is given by

P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ ⁻ ˣ

A fair coin is flipped 14 times.

Then the probability that more than 4 of the flips turn up tails.

The probability of success will be

P = 1/2

P = 0.5

n = 14

x = 4

Then we have

P(X = 4) = ¹⁴C₄ (0.5)⁴ x (1 - 0.5)⁽¹⁴ ⁻ ⁴⁾

P(X = 4) = ¹⁴C₄ (0.5)⁴ x (0.5)¹⁰

P(X = 4) = 0.061

P(X = 4) = 6.10%

Learn more about binomial distribution here:

https://brainly.com/question/13609688

#SPJ1

Answer:

17cm

Step-by-step explanation:

Answer:

[tex]\huge\boxed{a\in\mathbb{R}}[/tex]

Step-by-step explanation:

[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]

Answer:

See the Image below:)

ITS TRUE

SOLUTION ALL REAL NUMBERS

Step-by-step explanation:

Answer

Check the question and complete it. It ain't complete

Answer: 2123.72

Step-by-step explanation:

Answer:

Step-by-step explanation:

Form for Cylinder- V=πr^2h

π=3.14

r=6.5

h=16

π × 6.5^2 × 16 =2123.71663383

Rounded 2123.72

Hope this helps! Brainiest please!:)

Answer:

8 , 32 AND 14

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

8x - 2 = -9 + 7x

8x - 7x = -9 + 2

x = -7

Answer:

x= -7

Step-by-step explanation:

First, just add 2 units to both sides of the equation (this would cancel the 2)

Then we get 8x= -7+7x

Next, subtract 7x from both sides to cancel the 7x.

Finally, you get x= -7

Hope this helps! :)

Answer:

the two triangles that are congurent are D and F

Answer:

7 is the correct answer. brainliest plese

Answer: x=7

4,7=28

28-10 =

18

THIS IS RIGT I PROMIS

or to do it yourself do

10 plus 18

then divide it by 4

Answer:

125x^3 cm^3

Step-by-step explanation:

The volume of a cube of side length s is V = s^3.

If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3

Answer:

look at s d g

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  72 cm²

Step-by-step explanation:

The area of the central horizontal rectangle is ...

  (2+3+2+3)(6) = 60 . . . . cm²

The total area of the two top and bottom "wings" is ...

  2(2)(3) = 12 . . . . cm²

Then the total area of all of the rectangles in the figure is ...\

  60 cm² + 12 cm² = 72 cm² . . . . surface area of the prism

Answer:

height is =area  dived by base

Step-by-step explanation:

156 divide 13 is 12

so the answer of height is 12.......hope u understand dear

Answer:

area 156                    base 13

Answer:

Step-by-step explanation:

yes

no

no

yes

no

Answer:

255m^2

Step-by-step explanation:

You multipliy 15 and 34. Then you divide by 2