Answer:
The diameter of an atom is 25000 times the diameter of a pearl.
Step-by-step explanation:
Given that,
The diameter of a pearl is [tex]4\times 10^{-14}\ cm[/tex]
The diameter of an atom is [tex]10^{-11}\ m=10^{-9}\ m[/tex]
Taking the ratio,
[tex]\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000[/tex]
So, the diameter of an atom is 25000 times the diameter of a pearl.
Can someone please help me? I need to get 10 of these right and I don’t understand them
9514 1404 393
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
About Algebra
All of Algebra is based on a few simple rules:
adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equalWhen we solve equations by substitution, we make use of these facts.
__
About Substitution
Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.
Finding the Expression to Substitute
In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.
Let's choose to substitute for y. This means we need an equation of the form ...
y = <some expression involving x>
The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...
5x -y +y = 4 +y
5x = 4 + y . . . . . . . . . simplified
Subtracting 4 (from both sides) gets us the form we want.
5x -4 = 4 -4 + y
5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y
Using the Expression to Substitute
Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:
-x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation
-x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses
19x -16 = 3 . . . . . . collect terms
This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.
19x -16 +16 = 3 +16
19x = 19 . . . . simplify
Now, we can divide by 19 (to both sides) to get x by itself.
(19x)/19 = 19/19
x = 1 . . . . almost done; we still need to find y
Finishing Up
Using the equation for y that we used for substitution, we can find y from our value of x.
y = 5x -4 = 5×1 -4 = 5-4
y = 1
So, the solution is x = 1, y = 1, or (x, y) = (1, 1).
_____
Additional comment
In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.
__
Alternate Solution
If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.
For example, we could solve the first equation for x:
x = (4 +y)/5
Substituting that into the second equation gives ...
-(4 +y)/5 +4y = 3
-4/5 -y/5 +4y = 3
(3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms
Now, you get to divide by 3 4/5 to get ...
y = (3 4/5)/(3 4/5) = 1
Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.
x = (4 +1)/5 = 1 . . . . finishing up
Answer these 2 Questions for 10 points
1) Find the slope of the line that passes through these two points:
(13, 1) and (1, 10)
2) Find the slope of the line that passes through these two points:
(14,-14) and (10,-14)
Given f(x) = -2 and g(x) = 5x - 6, find h(x) = f(x) ⋅ g(x)
h(x) = _____ x _____ _____
Answer:
10x+12 is the answer in my calculation.
please solvee :))
5/24 × 69
Answer:14.37500
Step-by-step explanation:
Answer:
14.375
Step-by-step explanation:
answer for points what is the last problem answer
Answer:
8. 95
Step-by-step explanation:
The last equation 37 + 58 can be best solved by solving it vertically. Put 37 and 58 side to side vertically to add easier on a piece of paper. The first digit answer is 15, carry the 1 to the second digit and add it with 3 and 5. Your final answer should be 95.
The property that you should use is the Associative Property where you can switch the numbers to put the larger number on top and the smaller number on the bottom. No matter how it is changed, you should get the right answer.
Answer:
8. 95
Step-by-step explanation:
8h + (-6.7d) - 15+ 4d-2.6h.
Answer:
5.4h-2.7d-15
Step-by-step explanation:
8h minus 6.7d minus 15 plus 4d minus 2.6h
using the knowledge or principle of algebra
5.4h minus 2.7d minus 15
need a quick answer please
What is the opposite of -1/2
Answer: 1/2
Step-by-step explanation:
Just remove the negative
PLEASE HELP
Given the roots or x-intercepts -2 and 3, when expanded, the quadratic equation is:
Answer:
you're correct! the answer is c
Step-by-step explanation:
the factors would be (x+2)(x-3) and when you solve that you get c
Answer:
6
Step-by-step explanation:
-2/100 x x/3
I need the answer to this please thank you
Answer:
[tex]m(\widehat{WXZ})[/tex] = 160°
Step-by-step explanation:
By angle sum postulate,
m∠WYX + m∠XYZ = m∠WYZ
m∠WYZ = 50° + 30°
= 80°
Since, inscribes angle (∠WYZ) = [tex]\frac{1}{2}\times (\text{Intercepted arc WXZ})[/tex]
80° = [tex]\frac{1}{2}(\widehat{WXZ})[/tex]
[tex]m(\widehat{WXZ})[/tex] = 160°
What is the image of the point (6,-2) after a rotation of 90° counterclockwise about
the origin?
The point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
It is given that a point (6,-2) is rotated 90° counterclockwise about origin.
We have to find the new point after rotation.
What do you mean by rotation counterclockwise ?
If something is moving counterclockwise that meant it is moving in the opposite direction to the direction in which the hands of a clock move.
As per the question ;
A point (6,-2) is rotated 90° counterclockwise about origin.
Let's assume (6,-2) = (x , y)
If we rotate it 90°counterclockwise ; then the point will be inverted ; i.e.,
(x , y ) ⇒ ( y , x)
So ;
(6 , -2) = (-2,6)
So ;
The new point will be ;
= (-2 , 6)
Thus , the point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
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Need help with this question!
A stake is to be driven into the ground 38 feet from the base of a pole, as shown in the diagram below. A wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation of 52º. What will be the length of the wire from the stake to the top of the pole, to the nearest hundredth of a foot.
Answer:
you have to do 52 divided by cos of 38 to get the answer of 65.99ft
Write 54.039 in word form
Answer:
54.039 in word form is: fifty-four and thirty-nine thousandths.
Step-by-step explanation:
The word "thousandth" represents the order of an element in a set that occupies the position equivalent to the number thousand. In this case, the symbol "." Between the numbers shows us that there is a number in the position equivalent to the number thousand, so we must add the word "thousandth" when the number shown in the question needs to be written in word form. Thus, we can conclude that the correct way to write 54,039 in word form is "Fifty-four and thirty-nine thousandths."
Over the past 15 years, a business owner has made at most $4,000 in profits each week .Which graph represents the business owner's possible profits each week ?
Answer:
3,120,000
there are 52 weeks in a year:
52 x 15 = 780
Now multiply the salary to it:
780 x 4,000 = 3,120,000
I think this is correct
Answer:
d
Step-by-step explanation:
I got it correct so it must be correct
1. A baseball coach graphs some data and finds the line of
best fit. The equation for the line of best fit is
y=0.32x - 20.51, where x is the number of times at bat and
y is the number of hits.
How many hits should he expect from a player who is at bat
175 times?
A) 35 hits
B) 49 hits
C) 609 hits
D) 62 hits
A
B
D
The graph of a proportional relationship is given along with an
equation for a different relationship. Which situation has a greater
unit rate?
Answer:
i thnk its a...but i could be wrong..
Step-by-step explanation:
Answer:
The answer should be B cuz it's different relationship
Step-by-step explanation:
what is the solution for this
Answer:
(-2,4)
Step-by-step explanation:
Since this is a system of equations, just look where the two lines intersect.
In this case, the intersecting pair is: (-2, 4)
4-141.
Find the perimeter and area of each figure.
a.
15 km
b.
inch
4 km 4
7 km
10 km
inch
Answer:
Step-by-step explanation:
Solving One Step Equations. SHOW YOUR WORK
14b = -56 solve for b
Answer:
b=-4
Step-by-step explanation:
basically divide both sides by 14 which equal -4
The solution to the equation 14b = -56 is b = -4.
To solve the equation 14b = -56 for b, we can divide both sides of the equation by 14 to isolate the variable b.
14b ÷ 14 = -56 ÷ 14
Simplifying:
b = -56 ÷ 14
b = -4
Therefore, the solution to the equation 14b = -56 is b = -4.
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Identify the number of solutions for the equation below:
sidh is making fruit salad. His recipe calls for pound of watermelon. He wants
to make of the amount of fruit salad in the recipe. How much watermelon
does Sidh need?
more than pound
less than 2 pound
exactly 1 pound
exactly pound
My Progress >
Answer:
it will be 3/4
1.Evaluate: 144/16
2.Evaluate: 13.5 x 17
PLSSSS HELP
Answer:
1. 144 : 16 = 9
2. 13.5 x 17 = 229.5
please help and show work
Answer:
The second one is rectangle.
It is because it have the following properties;
1) Opposite side are equal.
2) Opposite angles are equal.
3) Diagonals bisect each other.
4) Diagonals are equal.
5) Each angle is a right angle (90⁰).
I hope this will help you
Leah is purchasing a condominium and is financing $515,000 with a 20-year 5/1 ARM at 5.25% with a 1/12 cap structure. What will her payments be at the beginning of year 6? (3 points) a $3155.38 b $3701.45 c $3470.30 d $2908.95
Answer:
$3701.45. I hope this helps :)
Step-by-step explanation:
if cube has total surface area 150cm sweet, find the volume of the cube
Answer:
i edgggg g t g h tr fe erfg bh hnhy r hrh r r t hth
Step-by-step explanation:
125 cm ans
may be it is helpful
Please help me with Math and show how you got the answer.
Answer:
Step-by-step explanation:
2.5:3.5 = 1:1.4
1 3/4 : 2 11/12 = 1:5/3
5/3 > 1.4 so megan gets more cookies
so kaitlyn uses more
For binomials of the form (x - y) ^ n explain how to determine the sign of a term without writing out the entire expansion
Answer:
When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.
For example:
(x - y)² = x² − 2xy + y²
(x - y)³ = x³ − 3x²y + 3xy² − y³
(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴
etc.
Find a solution to y=4x+2 if x=-1
Answer:
necesito más información
Answer:
(-1,-2)
Step-by-step explanation:
What is the length of the missing leg?
Answer:
it all depends on the length of the adjoining leg
Step-by-step explanation:
Tyler bought snacks for his team's practice. He bought a bag of oranges for $1.94 and a 24-pack of juice bottles. The total cost before tax was $43.22. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Equation:
Answer: X =
Answer:
Step-by-step explanation:
hblhhbbhbbhubulvt
Equation: 43.22 = 24x + 1.94
43.22 = 24x + 1.94
-1.94 -1.94
41.28 = 24x
/24 /24
1.72 = x
Answer: $1.72 per bottle of juice