Answer:
Mass of proton (m) = 1.67×10^(-27) kg
Step-by-step explanation:
Mass of proton (m) = 1.67×10^(-27) kg.
Since, 1 kg = 1000 g
Therefore, m = 1.67x10^(-27+3) g = 1.67x10^(-24) g
Let N no. of protons be present in 1 g. Hence, Nxm = 1 g
So, N = 1 / m = 1 / (1.67x10^(-24))
N = 6x10^(23) (approx.)
Exact mass of proton gives N = 6.022 x 10^(23).
That is a very special no. In fact, it is the Avogadro’s constant used frequently in chemistry. Avogadro’s no. is actually the number of atoms in exactly 12 g of C-12 isotope of carbon. Since, the atomic mass of C-12 is 12 u (unified mass), then again the no. of carbon atoms turn out to be N.
Find three equivalent fractions for 2/3 by multiplying by 3/3, 5/5 and 6/6. What property of multiplication do we use to find equivalent fractions?
The equivalent fractions for 2/3 are 6/9, 10/15, and 12/18 because multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
2/3 by multiplying by 3/3, 5/5, and 6/6.
= (2/3)(3/3)
= 6/9
= (2/3)(5/5)
= 10/15
= (2/3)(6/6)
= 12/18
The multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.
The numerator and denominator of a fraction are multiplied by the same number for determining equivalent fractions.
Thus, the equivalent fractions for 2/3 are 6/9, 10/15, and 12/18 because multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.
Learn more about the fraction here:
brainly.com/question/1301963
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In the figure below, points A, E, F, and C lie in plane X.
Points B and D do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
B
(a) FC and
are distinct lines that intersect.
A.
X
C
E
F
(b) B. I, and I are distinct points that are collinear.
(c) Another name for plane X is plane I.
(d) E, I, I, and I are distinct points that are coplanar.
Answer:
a) FC ←→ and BD ←→ are distinct lines that intersect.
b) B , C and D are distinct points that are collinear.
c) Another name for plane [tex]X[/tex] is plane AEF.
d) E , A , F and C are distinct points that are coplanar.
Step-by-step explanation:
The first step to solve this question is to look carefully at the picture.
For a) :
We can see that the line FC and the line BD intersect at the point C.
We can write :
a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→ or AE ←→).
For b) :
We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).
We can write :
b) B , C and D are distinct points that are collinear.
For c) :
We can name any plane using three points which are contain in the plane but this three points must not be collinear points.
We can name the plane [tex]X[/tex] using the points A , E and F (this is a possible solution).
We can write :
c) Another name for plane [tex]X[/tex] is plane AEF.
Finally, for d) :
Two or more points are coplanar wherever they belong to the same plane.
In the picture, the points A , E , F and C belong to the plane [tex]X[/tex].
We can write :
d) E , A , F and C are distinct points that are coplanar.
I need help with this solving equations X + 9 = -16
Answer:
Step-by-step explanation:
x + 9 = -16
Subtract 9 form both sides
x + 9 - 9 = - 16 - 9
x = -25
Answer:
X= -25
Step-by-step explanation:
Subtract 9 from both sides.
-3x + y = 22
-12x – 10y=-10
Answer:
x = -5, y = 7Step-by-step explanation:
-3x + y = 22 ⇒ y = 3x + 22
-12x - 10y = -10 and y = 3x + 22
-12x - 10(3x + 22) = -10
-12x - 30x - 220 = -10
+220 +220
- 42x = 210
÷(-42) ÷(-42)
x = -5
y = 3(-5) + 22 = -15 + 22 = 7
There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?
Answer:
y = 28 - b
Step-by-step explanation:
you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.
write an equation to represent m varies inversely as the square of q ?
Answer:
m = [tex]\frac{k}{q^2}[/tex]
Step-by-step explanation:
Given m varies inversely as q² then the equation relating them is
m = [tex]\frac{k}{q^2}[/tex] ← k is the constant of variation
6(1 + 5n) − 6n = 174
Answer:
N=7
Step-by-step explanation:
1. Distribute the 6 into the parentheses
6+30n-6n=174
2.combine like terms
6+24n=174
3. Subtract 6 on both sides
24n=168
4.now divide
24/24 cancels out 24/168 is what 7 soooo
n=7
What is the solution to this equation?
16x- 8x-12 = 24 + 20
O A. x = 5
O B. x=7
O c. x = 4
O D. x = 6
Answer:
x=7
Step-by-step explanation:
16x-8x-12= 24+20
(16x-8x)-12= 24 +20
8x - 12= 24 +20
8x = 24+ 20 + 12
8x = 54
x = 54/8
x= 7
Answer:
x=7
Step-by-step explanation:
1. combine like terms
2. isolate x
3. divide by 8 to get x
Find the domain and range of the following absolute value functions. fx)=|x-1|+2 I’ll mark brainliest to whoever answers first
Answer:
Domain is All Real x.
Range is f(x) ≥ 2.
Step-by-step explanation:
The vertical lines about the x - 1 means the Absolute value ( always positive).
|x - 1| will always be positive or 0 and it's graph is shaped like a V with the vertex at (1, 0)
The + 2 will move the graph up 2 units so the vertex becomes (1, 2).
what is the answer to -3x+5= -16
Answer: 7
Step-by-step explanation: First you subtract 5 from both sides to single out the -3x. Then you will have -3x = -21. You will then divide both sides by negative three because you want to single out the x. After that, you will have the answer of x = 7
Answer:
x = 7
Step-by-step explanation:
-3x+5=-16
-5 -5
-3x=-21
-3x/3 = -21/-3
x=7
1. There are 4 quarters in 1 dollar.
a) Shades 1/2 of a dollar.
b) How many cents is 1/2 of a
dollar?
-3(4a + 3) + 4(6x + 1) = 43
Answer:
-3(4a+3)+4(6x+1)
12a+(-9)+24x+5
12a-4+24x
Step-by-step explanation:
Because you can't add 12a & 24x bc they're different variables ( a & x ) & -9+5 you always minus it and it's going to be a negative because -9 is bigger than 5
If u=18, x=−10, and y=8 what is the value of u+xy?
Answer:
u+xy=18+(-10)8
=18-80
= -62
On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G
hey how do i solve this problem i’m clueless and don’t know how to do it. if you can could you explain it please?
(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.
6^2 = 36
(g^4)^2 = g^8
(h^5)^2= h^10
The final answer: 36g^8h^10
Jill sold half her comics and then bought sixteen more. She now has 36. How many did she begin.
Answer: 10 I think
Step-by-step explanation: Jill sold half and you dont know how much it is you know that now she has 36, but before she bought 16 so 36 - 16 = 20 but she sold half
Answer:10 magazines
Step-by-step explanation:
36-16/2=m
20/2=m
10=m. m=magazine
Evaluate the following expression for x = 4.
1+3(x-1)-2x
Answer:
2
Step-by-step explanation:
1+3(x-1)-2x
Substitute the value of x into the equation:
1 + 3(4-1) -2 (4)
1 + 3(3)- 8
1 + 9 - 8
2
Write an equation of the parabola in intercept form that passes through (-2,0.05) with x-intercepts of -7 and -3.
Answer:
y = 0.01(x +7)(x +3)
Step-by-step explanation:
For intercepts p and q, the equation will be ...
y = a(x -p)(x -q)
For the given intercepts, the equation is ...
y = a(x +7)(x +3)
We can find the value of 'a' by using the given point:
0.05 = a(-2+7)(-2+3) = 5a
0.01 = a . . . . divide by 5
The complete equation is ...
y = 0.01(x +7)(x +3)
How do I find the domain and range of a graph?
The domain is the x-axis and the range is the y-axis.
To find the domain, you measure or count the widest part of this oval horizontally. So that is 3 units to the right of 0 and 3 units to the left of 0. I counted it exactly on the axis because that is the widest part of the oval.
To find the range, you again count or measure the widest part of the oval vertically. So that is 4 units above 0 and 4 units below 0.
Final Answer
D: -3 ≤ x ≤ 3
R: -4 ≤ x ≤4
Round 45.396 to the nearest tenth
Answer:
Step-by-step explanation:
45.396
tenth place is 3
on the right of 3 is 9. 9 is higher than 5. Therefore 3 becomes a 4.
the answer is 45.4
A horizontal line has points D, B, C. A line extends vertically from point B to point A.
Given that Ray B A bisects ∠DBC, which statement must be true?
a) m∠ABD = m∠ABC
b) AB ≅ BC
c) B is the midpoint of DC.
d) m∠DBC = 90°
Answer:
a) m∠ABD = m∠ABC
Step-by-step explanation:
The meaning of angle bisector is that each of the created angles is congruent to the other:
m∠ABD = m∠ABC
Answer:
A: m∠ABD = m∠ABC
if f(x) = 5x -1 find f(1)
f(1)= 5(1)-1
f(1)= 5-1
f(1)= 4
Answer: 4
Let f(x)=2x-5 and g(x)=x^2
Perform the function operation (f-g)(x)
Answer:
2x - 5 - x²
Step-by-step explanation:
note (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 2x - 5 - x²
-x^2 where x = -5
algebra 2
Step-by-step explanation:
if if you put x equals to -5
it becomes -(-5)^2 which is equal to -25
Answer:
-25
Step-by-step explanation:
1) The equation is -(-5)^2
2) When you square a negative number, it will be a positive
3) So in this equation it would be -(25)
4) However, there's another negative sign in front.
5) So the answer therefore is -25
Hope this helps!
Find the sum of 4x^2
-4x + 10 and 2x^2+ 5x – 8.
Answer:
6x2+x+2
Step-by-step explanation:
Mark Brainliest?
True Or False The Solution to an equation is the ONE number that makes it true.
Answer:
True.
Step-by-step explanation: If you substitute the solution into the original equation, it is the only number that will make the equation balanced or have an equal value on both sides of the equals sign.
The midpoint of segment AB is (1,4). The coordinates of point A are (-2, -3). Find the coordinates of point B.
A)
(3,7)
B)
(4, 11)
(4, -10)
D)
(-5, -10)
Answer:
B) (4,11)
Step-by-step explanation:
Plot the points and count how far point A is to the midpoint.The rise is 7 and run is 3 so count 3 right and 7 up from point AB to get B.
If h = -19 and j = 16, what is
[tex] \sqrt{j - h} [/tex]
Answer:
[tex]\sqrt{35}[/tex]
Step-by-step explanation:
h =-19
j =16
[tex]\sqrt{j-h} = ?[/tex]
Substitute values into the given equation
[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]
A little help here thank you!!!
Answer:
∠B = 82°
Step-by-step explanation:
(see attached for reference)
recall the property that an exterior angle of a triangle is equal to the sum of its two remote interior angles.
in our case, the exterior angle is obtuse ∠A = 143°
the two remote interior angles are ∠C and ∠B
hence according to our definition above:
143° = ∠C + ∠B (we are given that ∠C =61°)
hence
143° = 61° + ∠B
143° - 61° = ∠B
∠B = 82°
Find the midpoint of the line segment joining the points (-1, -2) and (-3, 13).
The midpoint is
(Simplify your answer. Type an ordered pair)
midpoint =(X1+X2)/2 ,(Y1+Y2)/2
therefore=
( -1+-3)/2, (-2+13)/2
=(-4/2,11/2)
=(-2,5.5)