Answer:
D 40,000nm
Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um
Therefore in 40 microns there are:
40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm
The human hair is 40,000 nanometers wide.
Option D is the correct answer.
Given,
A human hair is approximately 40 microns (um) wide.
1 um is equal to [tex]10^{-6}[/tex] meters (m)
1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.
We need to find how many nanometers wide is human hair.
How do we add exponents?We can add the exponents if we have the same base.
Example:
a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]
[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]
We have,
Human hair = 40 microns (um) wide.
And,
1 um = [tex]10^{-6}[/tex] m
1 nm = [tex]10^{-9}[/tex] m
[tex]10^{-9}[/tex] m = 1 nm
Multiplying by 10³ on both sides.
[tex]10^{-9}[/tex] x 10³ = 10³ nm
[tex]10^{(-9+3)}[/tex] = 10³ nm
[tex]10^{-6}[/tex] m = 10³ nm
1 um = [tex]10^{-6}[/tex]m
1 um = 10³ nm
Human hair = 40 um
1 um = 10³ nm
Multiplying 40 on both sides.
40 x 1 um = 40 x 10³ nm
40 um = 40 x 1000 nm
40 um = 40,000 nm
Thus human hair is 40,000 nanometers wide.
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What is the equation of the line that passes through the point (- 1, - 5) and has a slope of -1
Answer:
y = -x - 6
Step-by-step explanation:
Slope = m = -1
Equation of line: y = mx + b
y = - x + b
Plugin x = -1 and y = -5 in above equation
-5 = -(-1) + b
-5 = 1 + b
-5 - 1 = b
b = -6
Equation of the line: y = -x - 6
Help me with problem plz
Answer:
It is SAS (side - angle - side)
Step-by-step explanation:
Both BCA and DCE cross from side then the angle and lastly side.
Graph this equation on the coordinate plane.
y=−2x+4
Select two points on the line to graph the line.
Answer:
(0,4) and (1,2)
Step-by-step explanation:
The standard equation of a straight line is given as y = mx + b
m is the slopeb is the y-inteceptGiven the equation y = -2x + 4
The slope is -2 and the intercept is 4.Is x = 0, then;
y = -2(0) + 4
y = 4
One of the point on the graph is (0,4)
If x = 1, then;
y = -2(1) + 4
y = -2 + 4
y = 2
Hence the second point is (1, 2)
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what is the x intercept to x+4y=8
Answer:
The x-intercept is 8.
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x
x + 4y = 8
x + 4(0) = 8
x + 0 = 8
x = 8 The x-intercept is 8
chứng minh: x(4+1/3*x+48)=1440
Step-by-step explanation:
1
3 x2+52x=1440
Step 2: Subtract 1440 from both sides.
1
3 x2+52x−1440=1440−1440
1
3 x2+52x−1440=0
For this equation: a=0.3333333333333333, b=52, c=-1440
0.333333x2+52x+−1440=0
Step 3: Use quadratic formula with a=0.3333333333333333, b=52, c=-1440.
x=
−b±√b2−4ac
2a
x=
−(52)±√(52)2−4(0.333333)(−1440)
2(0.333333)
x=
−52±√4624
0.6666666666666666
x=24,−180
Answer:
x=24,−180
plz help. The ratios of M&M's to skittles in the candy dish is 4 to 1. given this ratio, which two sets of candy counts are possible?
simplify (3 ^-2)^4
This would help so much, i have to finish this 200 point exam by tonight. THANK YOU IF YOU HELP
Answer:
Simplify the expression.
Exact Form:
1/6561
Decimal Form:
0.00015241
…
Step-by-step explanation:
1/6561
Answer:
1/6561
Step-by-step explanation:
(3^-2)^4
multiply the exponents:-8
3^-8
then make the 3 a fraction to remove the negative 1/3^8 then multiply 1/3, 8times so the answer is 1/6561
Fill in the blank statement to make it true. -3 x _ =12
What is an
equation of the line that passes through the points (3, 1) and (4,4)?
Answer:
y=-5x+16
Step-by-step explanation:
What is the probability of spinning red on and then yellow
Which of the following can be used to solve for X
• Sine
•cosine
•tangent
•inverse sine
•inverse cosine
•inverse tangent
Solve for X
_________
Step-by-step explanation:
Sine
Are the triangles congruent?
-yes by SSS
-yes by SAS
-yes by ASA
-yes by AAS
-yes by HL
Answer:
yes by SAS
it is Side angle Side
What does m equal and what is the slope
Answer:
The slope (m) = 2/3
Step-by-step explanation:
Taking any two points on the line:
(0,-2) & (3,0)
Using the slope formula to calculate the slope (m):
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
= (0-(-2))/(3-0)
= (0+2)/3
= 2/3
Hence, the slope (m) is 2/3.
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
- (05.03)
An equation is shown below:
3/2x+ 7/2=2^x
What is the solution to the equation? (4 points)
x = 1
x = 3
x = 5
X = 8
Answer: x = 3
Step-by-step explanation:
Perform the operation. Enter your answer in scientific notation.
9 x 10^*8-5.3 x 10^*8=
Answer:
Not a possible math equation, sorry.
How do i solve this???
[tex]\bf x-17=-25[/tex]
[tex] \green{ \rule{50cm}{0.01cm}}[/tex]
[tex] \red{ \rule{50cm}{0.01cm}}[/tex]
[tex] \green{ \rule{50cm}{0.01cm}}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is :
[tex] - 8[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
let's solve ~
[tex]x - 17 = - 25[/tex][tex]x = - 25 + 17[/tex][tex]x = - 8[/tex][tex] \green{ \rule{50cm}{0.01cm}}[/tex]
[tex] \red{ \rule{50cm}{0.01cm}}[/tex]
[tex] \green{ \rule{50cm}{0.01cm}}[/tex]
On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.
The height of the escalator is as calculated using trigonometric ratios.
We know that in a right angled triangle the trigonometric ratios are
tan θ = perpendicular ÷ base
For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .
Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.
Now using the trigonometric ratio of tanθ
tan θ = 2 / 3
Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .
Now, the height is given as h .
∴ tan θ = h / 90
or, 2 / 3 = h / 90
or, h = 60 feet
Therefore the height of the escalator is 60 feet.
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A car is traveling at 65 mi/hour. What is the car's speed in feet per second?
Answer:
65 mph = 95.3 feet per second
whats the numerator for the following rational expression 8/y+3/y=?/y
Answer:
11/y
Step-by-step explanation:
Becasue you gave a formula with a common denominator, you only have to focus on adding the numerators 8 and 3
8 + 3 = 11 so than 11 goes over 'y' as 11/y
Hope this helps!
Which function represents the graph below?
Answer:
b
Step-by-step explanation:
Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4
Answer:
b) 2x - y = -4
Step-by-step explanation:
The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.
The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.
Next, we need to determine which of the given options matches the graph. It helps to transform each of them into their slope-intercept form, y = mx +b:
a) 2x + y = 42x - 2x + y = - 2x + 4
y = -2x + 4 (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).
b) 2x - y = - 42x - 2x - y = - 2x - 4
-y = -2x - 4
Divide both sides by -1:
[tex]\frac{-y}{-1} = \frac{-2x - 4}{-1}[/tex]
y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.
We could easily disregard the last two options because both of their y-intercept is 0.
Therefore, the correct answer is Option b) 2x - y = - 4
given the graphs of f and g below, find the following. give the exact if defined.
Answer:
looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.
Step-by-step explanation:
a) 2
b) 1
which statements are true ? —4 < — 1
2 < —4
—4 = 4
— 1 < 4
Answer:
-4<-1 and -1<4
Step-by-step explanation:
Sharon called 4 friends on Friday. On Saturday, each of those 4 friends called 4 different friends. On Sunday, each person who was called on Saturday called 4 different people.
Answer:
it [tex]4^{3}[/tex]
Step-by-step explanation:
i took a test
if you were born 10 years ago how old would you be:
Step-by-step explanation:
Add 10 to the age you are now and get an answer.
Your age will be 10 years old.
What is riddle?A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.
Riddles are of two types: enigmas, which are problems generally expressed in metaphorical or allegorical.
Given that we need to find if you were born 10 years ago how old would you be,
So, you will be 10 years old.
It because when you born 10 years ago, The same as your age.
Thats the puzzle when someone's questions, that called Riddle.
A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.
Hence Your age will be 10 years old.
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Help me please Asap
Answer:
it is the last one {-4, -1, 0, 1, 2}
Step-by-step explanation:
C-12=-4show me step by step
Answer:
C = 8
Step-by-step explanation:
Rearrange the equation to make C the subject.
C - 12 = -4
Add 12 to both sides.
C - 12 + 12 = -4 + 12
C = -4 + 12
C = 8
Check it:
C = 8
So substitute the new found value into the original equation:
C - 12 = -4
8 - 12 = -4
-4 = -4
All good.
Answer:
C = 8
Hope this helps!
Step-by-step explanation:
C - 12 = -4
C - 12 + 12 = -4 + 12 ( Add both sides by 12 )
C = 8 ( Simplify )
Selesaikan persamaan linear serentak berikut.
2x + y = -5
3x - 4y = 9
Answer:
(-1;-3)
Step-by-step explanation:
[tex]\left \{ {{4(2x+y)=4*(-5)} \atop {3x-4y=9}} \right. \ => \ \left \{ {{8x+4y=-20} \atop {3x-4y=9}} \right. \ => \ \left \{ {{11x=-11} \atop {2x+y=-5}} \right. \ => \ \left \{ {{x=-1} \atop {y=-3}} \right.[/tex]
On a snow day, Kayden created two snowmen in his backyard. Snowman A was built to a height of 59 inches and Snowman B was built to a height of 34 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 7 inches per hour and Snowman B's height decreased by 2 inches per hour. Let AA represent the height of Snowman A tt hours after sunrise and let BB represent the height of Snowman B tt hours after sunrise. Write an equation for each situation, in terms of t,t, and determine the interval of time, t,t, when Snowman A is taller than Snowman B.
A=
B=
Snowman A is taller than Snowman B when tt ___ __ ___
Answer:
AA=59-7t
BB=34-2t
t<5
Step-by-step explanation:
AA=59-7t
BB=34-2t
Snowman A is taller than Snowman B while 59-7t > 34-2t
25>5t
t < 5 hrs
Find the sample standard deviation and the population standard deviation of the data set.
17, 37, 56, 16, 12, 16, 19, 45, 14, 37, 21, 26, 43, 46, 42
a.
5 - 13.97
5 - 3.73
0= 14.46
0 - 3.61
b.
d.
5 - 14.46
5-3.61
0-13.97
0 - 3.73
Please select the best answer from the choices provided
А
Answer:
Step-by-step explanation:
a