which line is perpendicular to a line that has a slope of 1/2​

Answer:

The first one is A

The second one is B

Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%

Step-by-step explanation:

1) Students playing atleast one sport = 28 - 6 = 22

2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)

N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4

3) Number of students playing both basketball and baseball = 4

Total number of students = 28

Probability of a student playing both basketball and baseball is 4/28

4/28= 0.1428571429 x 100%= 14.3%

Answer:4/28

Step-by-step explanation:4/28

Answer:

Atomic mass unit-

It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.

Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.

1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.

Atomic mass of an element = mass of one atom of the element / 1 amu

Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.

For ex-

Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.

Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.

Average Atomic weight (Mass)-

“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”

Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.

Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100

= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100

Average atomic mass= 12.011 amu

Molar volume –

Molar volume of a substance is volume occupied by 1 mole of that substance .

Molar volume of solid or liquid = molar mass / density

Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.

Gram atomic mass(weight) or gram atom –

“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”

Ex –

mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm

Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.

Hence, Gram atomic weight of oxygen = 16 gm.

No. of gram atoms = mass of element in gm / atomic mass of element in gm.

Answer:

I think that the answer is D

Step-by-step explanation:

Answer:

x = 11/c

Step-by-step explanation:

cx - 4 = 7

Add 4 to each side

cx - 4+4 = 7+4

cx = 11

Divide each side by c

cx/c = 11/c

x = 11/c

Answer:

I think its 11x/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]

Answer:

t=1.58 seconds

Explanation:

The equation which models the height h of the seashell above water after t seconds

Height of seashell above water after t seconds; h = 40 - 8t²

Time that seashell is in air; t = 1.58 s

The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;

S = ut + ½gt²

Since it was dropped from a height and not the ground, then;

h = height of shell from ground

h_o = height from which the shell was dropped.

Thus, we have;

h - h_o = ut + ½gt²

We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;

h_o = 40 ft

It was dropped from rest and so; u = 0 ft/s

Acceleration due to gravity is; g = -32ft/s² (since it is free fall)

Thus;

h - 40 = 0(t) + ½(-32t²)

h = 40 - 8t²

The time that the seashell in the air will be after it has hit the surface which will be when h = 0.

Thus;

0 = 40 - 16t²

16t² = 40

t² = 40/16

t² = 2.5

t = √2.5

t = 1.58 s

Read more at; brainly.com/question/17576926

Answer:

-28

Step-by-step explanation:

6 2/3*-4 1/5=

20/3*-21/5=

4/3*-21/1=

4/1*-7/1=

-28

Answer:

−2<x<4

Step-by-step explanation:

Answer:

Company B

Step-by-step explanation:

Given. That :

Company A:

Initial charge = $215

Charge per square foot = 0.50

Company B:

Initial charge = $100

Charge per square foot = 0.75

Which company if installing 400 square feet of carpet :

Company A:

Total bill:

$215 + 0.50(400) =$415

Company B:

Total bill:

$100 + 0.75(400) = $400

Hence, Company B will be a better option as the total cost is cheaper than company As cost.

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] of [tex]\frac{4}{5}[/tex]

"of" translates to a multiplication symbol in math.

So it's asking for: [tex]\frac{3}{4}[/tex] x [tex]\frac{4}{5}[/tex]

You could cross out both fours getting to the answer of [tex]\frac{3}{5}[/tex]

Answer:

110.9 cm²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex]  ( s is the side length )

Here s = 16, thus

A = [tex]\frac{16^2\sqrt{3} }{4}[/tex]

   = [tex]\frac{256\sqrt{3} }{4}[/tex] = 64[tex]\sqrt{3}[/tex] ≈ 110.9 cm² ( to 1 dec. place )

Answer:

9

Step-by-step explanation:

180÷20=9.

Could I please have BRAINLIEST?

Answer:

it is false

Step-by-step explanation:

Answer:

If you wanna know how many beats are in a full minute, the answer is 156 beats

Step-by-step explanation:

1/6*6=1

26*6=156

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.

Answer:

n+(n+2)+(n+4)=15

Step-by-step explanation:

Let n= the smallest odd integer

n+(n+2)+(n+4)=15

n=3

Answer:

the answer is b between 6 and 7

Step-by-step explanation:

i say this because the square root of 41 is 6.4031.

6.4031 is in between 6 and 7.

hope this helps :)

Answer:

d

Step-by-step explanation:

Answer:

I rlly don't know how to help you bruh

Step-by-step explanation:

Why I can't understand the question and as to what they mean by if you fold it as shown though i know they probably mean where the shapes on the side are I say find someone else or take a wild guess.

Answer:

i got this on edg its b

Step-by-step explanation:

Answer:

C 12 is the best estimate

Step-by-step explanation:

Answer:

That is like 3x5 which is 15

Step-by-step explanation:

Step-by-step explanation:

Answer:

I get 92 but not really sire

Answer:

$23.63

Step-by-step explanation:

Your just adding decimals if I understood the question. So basically you just multiply 6.95 by 3 which gets you 20.85.

And then you divide 6.95 by 10 which is .695, and then multiply that by 4 which gets you to 2.78.

So now you just add those two up

20.85 + 2.78 = 23.63

Your welcome :)

Yours truly, Madison Estrella

Answer: 2:D     3: 1/3 of the fruit, or 80 oranges

Step-by-step explanation:

Answer:

Step-by-step explanation: 5x105.2=526 75% of 105.2 is 78.9 so 105.2+78.9=184.1