. The internal telephone numbers in the phone system on a campus consist of five digits, with the first digit not equal to zero. How many different numbers can be assigned in this system

Answer:

Step-by-step explanation:

using pythagoras theorem

h^2=p^2+b^2

h^2=3^2+3^2

h^2=9+9

h^2=18

h=[tex]\sqrt{18}[/tex]

h=3[tex]\sqrt{2}[/tex]

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-1, 4) and (0, 2)

[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]

Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept

[tex]y=-2x+b[/tex]

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

[tex]y=-2x+2[/tex]

I hope this helps!

Answer:

33.3%

Step-by-step explanation:

6/10 x 5/9 which equals 1/3 when simplified, or 33.3%

Answer:3.38

Step-by-step explanation:

Count, N: 5

Sum, Σx: 18

Mean, μ: 3.6

Variance, σ2:  11.44

Steps

(10 - 3.6)2 + ... + (2 - 3.6)2

5

=  

57.2

5

=  11.44

σ =  √11.44

=  3.38

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

[tex]\frac{3}{12}\cdot \frac{4}{11}[/tex][tex]=\frac{1}{11}[/tex]

Hope this helped! :)

Answer:

3/4 of a pizza is left.

Step-by-step explanation:

4 pizzas minus (2 and 7/12 plus 2/3). Change 2/3 to 8/12 by multiplying the numerator and denominator by 4 to get both denominators the same. 4 pizzas minus (2 and 7/12 plus 8/12 or 2 and 15/12 or 3 and 3/12 or 3 and 1/4). Restated 4 pizzas minus 3and 1/4 pizzas 3/4 pizzas. 3/4 of a pizza is left.

Answer:

The muscles of the small intestine mix food with digestive juices from the pancreas, liver, and intestine, and push the mixture forward for further digestion. The walls of the small intestine absorb water and the digested nutrients into your bloodstream.

Answer & Explanation:

When humans chew food, it is chemically and physically broken down into smaller molecules. Your teeth physically crush the food and enzymes in your saliva break down the food into smaller pieces. Then your food goes through your esophagus and begins the digestion process. When the food reaches the stomach, the stomach walls pound the food to make it into smaller chunks of food. Hormones secreted in the stomach walls release acids and enzyme juices that chemically dissolve the food into even smaller pieces. The liver, pancreas, and gallbladder are major parts of the digestive process as well. They produce digestive juices and transfer bile to prepare for the next stage. After the food has been in the stomach for three hours, the food is now a liquid called chyme and is ready to move into the small intestine! The liver sends the bile to the gallbladder that secretes it into the duodenum. Then it dissolves the fats in the chyme so they can be digested by the juices from the pancreas and intestines. The enzyme juices break down the fat molecules in the chyme into fatty acids. The enzymes carry out the final deconstruction of proteins into amino acids. This happens in the small intestine lower region that is coated with villi. The villi maximizes molecule absorption and transfers it into the bloodstream. The blood then feeds it to the body’s organs and tissues.

That is whole process of digestion. Hope this helps! :3

Answer:

7 I think

Hope's ti helps

Answer:

Step-by-step explanation:

Area of sides:

Area of the bottom:

Total area:

Paint needed:

Answer:

The answer is 3/2

Step-by-step explanation:

5/6+4/6= 9/6

simplified is 3/2

Answer:  1  1/2

Step-by-step explanation:

Answer:

147°

Step-by-step explanation:

180 - 33 = 147

Answer:

147

Step-by-step explanation:

x is on a straight line so the whole line equals 180

180-33= 147

I think that's correct

Answer:

105 dollars after a year

Step-by-step explanation:

I = (100)(0.05)(1)

I = 5

Answer:

9.82 feet

Step-by-step explanation:

the perimeter of the window is the circumference of a semi-circle with a diameter of 5

P = (πd)/2     (divided in half because it's only half a circle)

P ≈ 3.14(3.5) which is approx 11

11 is closest to 9.82

Answer:

9.82 Is the Closest

Step-by-step explanation:

First of all, you can see its a half circle, meaning if we make it a full circle, the length of the center is 5, so the full circle's area is about 19.5-20. Now to find the area of the half circle/windows we get 9.75 - 10. The only number between that is 9.82, which should be you answer.

Have a nice day!

If this answer helped you, please give Brainliest.

Answer:

caste system, they were commonly used to show the groups of people in their social hierarchies

Answer:

.......................

Step-by-step explanation:

Answer:

16/52

Step-by-step explanation:

A U B= A + B - A ∩ B

A= 4/52

B= 13/52

A∩B= 1/52 (it's 1/52 because there is only one 7 of diamonds in the deck)

4/52+13/52-1/52= 16/52

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

d² = (x2  - x1)² + (y2 - y1)²

d² = (-2 - 4)² + (-4 - 4)²

d² = (-6)² + (-8)²

d² = 36 + 64

d² = 100

d = 10

Answer:2x(2yz + 5)

Step-by-step explanation:

Answer:

substitute the value of y into the equation 7x+3y = 35

7x + 3(x+5) = 35 (distribute 3 through the parenthesis)

7x + 3x + 15 = 35

collect the like terms

7x + 3x = 35 - 15

10x = 20 (divide both sides by 10)

x = 2

substitute x = 2 into the equation y = x + 5

y = 2 + 5

y = 7

Answer:

The cost per widget will never be greater than $25

Answer:

SA ≈ 434.5 cm²

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

The surface area (SA) is calculated as

SA = 4πr²

To find r use the volume formula

[tex]\frac{4}{3}[/tex]πr³ = 850 ( multiply both sides by [tex]\frac{3}{4}[/tex] to clear the fraction )

πr³ = 637.5 ( divide both sides by π )

r³ = [tex]\frac{637.5}{\pi }[/tex] ( take the cube root of both sides )

r = [tex]\sqrt[3]{\frac{637.5}{\pi } }[/tex] ≈ 5.88 cm ( to 2 dec. places )

Then

SA = 4π × 5.88² ≈ 434.5 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

The surface area is a sum of areas of four triangles with base of 8 m and hight of 12 m and areas of five squares with sides of 8 m.

Answer:

x = 40

Step-by-step explanation:

x + 10 = 2x - 30

    40 = x

40 + 10 = 2(40) - 30

      50 = 50

The sum angle of triangle is 180°

The angle of line is 180°

The right angle is 90°

x=180-115

x=65°

y=180-65-90

y=90-65

y=25

Answer:

A. They are both Solutions

Step-by-step explanation:

Answer:

Both are solutions

Step-by-step explanation:

5x8 is less than 52, and so is 5x10