The frequency of red light is 4 x 10¹⁴ Hz. The correct answer is option D.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The given that when the frequency of an electromagnetic wave is 400,000,000,000,000 Hz, it results in red light.
The choices given are in scientific notation form, where the coefficient is multiplied by 10 raised to a certain power of 10.
To convert 400,000,000,000,000 Hz into scientific notation, we need to move the decimal point 14 places to the left to obtain a coefficient between 1 and 10.
This gives us 4.0 as the coefficient, and since we moved the decimal point 14 places to the left, the power of 10 is -14.
Therefore, the frequency of red light is 4 x 10¹⁴ Hz.
Learn more about the Scientific Notation here :
brainly.com/question/20533245
#SPJ3
Are ratios 7/4 and 42/24 equivalent
42/24 = 42/24 or 7/4 = 42/24 so yes
Step-by-step explanation:
they're equivalent
42 and 24 are multiple of 6
so 42/24
42/6 is 7
24/6 is 4
fraction is 7/4 so YES
Someone help Solve 1/3/5 = a/20
10²÷0.00541 helpssssss
Answer:
The answer would be 18484.2883549
Step-by-step explanation:
Firstly, you'll simplify 10².
10²÷0.00541 ---> 100 ÷ 0.00541
Then, you'll divide 100 by 0.00541.
100 ÷ 0.00541 ---> 18484.2883549
Answer:
18484.28835
Hope this helps
-Amelia The Unknown
How to write an expression to represent a number g divided by 5
Answer:
g ÷ 5
Step-by-step explanation:
Variable: g
Operation: Division (represented as ÷)
Constant: 5
Put together the equation:
g ÷ 5
Hope this helps :)
Help, please! Image + question. below!
Answer: The answer is 4) 4x*3 +4x^2 where x = 6,13
4x^3 = 6.13 x 6.13 x 6.13 =230 +4x^2 =
=232.7+ 49.04 = 282.1 cube
The answer is 281.1 when x=6.13
Step-by-step explanation:
Answer:
A, B & C
Step-by-step explanation:
Edge 2020 assignment
what is the equation of the line that passes through (5;-2) and (-3;4
Step-by-step explanation:
Given points are: [tex] (5, - 2) =(x_1,\:y_1) \:\&\: (-3, 4)=(x_2,\:y_2)[/tex]
Equation of line in two point form is given as:
[tex] \frac{y -y_1 }{y_1 - y_2} = \frac{x -x_1 }{x_1 - x_2} \\ \\ \therefore \: \frac{y -( -2 ) }{ - 2 - 4} = \frac{x -5 }{5 - ( - 3)} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{5 + 3} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{8} \\ \\\therefore \: \frac{y + 2 }{ - 3} = \frac{x -5 }{4} \\ \\\therefore \: 4(y + 2 ) = - 3(x - 5) \\ \\ \therefore \: 4y + 8 = - 3x + 15 \\ \\ \therefore \: 3x + 4y + 8 - 15 = 0 \\ \\ \huge \: \orange{ \boxed{\therefore \: 3x + 4y - 7 = 0}} \\ \: \: is \: the \: required \: equation \: of \: line[/tex]
The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet?
Answer:
Rotations of tire to travel 500 feet: 95.54
Step-by-step explanation:
Circumference = 20 x 3.14 = 62.8 in
500 feet = 500 x 12 inches = 6,000 in
Rotations = 6000 / 62.8 = 95.54 rotations of tire
1) 4x - 5y = -22
-2x + 5y = 26
Complete the statements below that show y = x2 + 2x - 1 being converted to vertex form.
Answer: (-1,-2) Sowwy if im wrong
Step-by-step explanation:
Answer:
1 and 1
Step-by-step explanation:
und
circumference - 150 m
What is the measure of its radius?
Answer:
The radius is 75m
Answer:
[tex]2\pi \times r = 150 \\ 6.2831r = 150 \\ \frac{6. 2831r}{6.2831} = \frac{150}{6.831} \\ r = 23.87cm[/tex]
plzzzzzzzz help i dont understand
it is y=2 because both points have a y value of 2
what is the measure of its complementary angle.
Answer:
78.6 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees. So just take 11.4 from 90.
90 - 11.4 = 78.6
Archaeologists want to determine the probability of a certain number of students finding a fossil during an expedition.
The probability of an individual finding a fossil is 22%. What determines the number of successful trials in this study?
the probability of an individual finding a fossil
the probability of an individual not finding a fossil
the number of individuals surveyed who found a fossil
the number of individuals whom the archaeologists surveys
Step-by-step explanation:
A local hamburger shop sold a combined total of 518 hamburgers and cheeseburgers on Tuesday. There were 68 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Tuesday?
hamburgers
Final answer:
To find the number of hamburgers sold, we set x as the number of hamburgers and x + 68 as the number of cheeseburgers, given that the total sold was 518. The equation x + (x + 68) = 518 is solved to find that 225 hamburgers were sold.
Explanation:
To solve this problem, let's use algebra. Let x be the number of hamburgers, then the number of cheeseburgers would be x + 68 since there were 68 more cheeseburgers sold than hamburgers. Given that the total number of hamburgers and cheeseburgers sold is 518, we can set up the following equation:
x + (x + 68) = 518
Solving for x we get:
2x + 68 = 518
2x = 518 - 68
2x = 450
x = 225
So, the hamburger shop sold 225 hamburgers on Tuesday.
What is the area of the figure?
Enter your answer in the box.
The area of the figure is 112 square inches.
Step-by-step explanation:
Step 1:
To calculate the value of the composite shape we first divide it into shapes that we know.
In this case, the composite shape consists of a triangle and a square attached below it.
If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.
Step 2:
The triangle has a base length [tex]=10-6=4[/tex] inches and the height is [tex]16-10=6[/tex] inches.
The area of the triangle [tex]= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.[/tex]
The area of the triangle is 12 square inches.
Step 3:
The area of a square is the square of its side length. The given square has a side length of 10 inches.
The area of the square [tex]= a^{2} = 10^{2} = 100.[/tex]
The area of the square is 100 square inches.
Step 4:
Now we calculate the area of the entire figure by adding the areas of the triangle and the square.
Area of the figure [tex]= 100 + 12 = 112.[/tex]
So the area of the figure is 112 square inches.
What is the first step in financial planning?
A.
maintaining a log of all your expenses
B.
understanding what you want
C.
preparing a balance sheet
D.
attaching a goal cost to every goal
E.
attaching a time frame to every goal
Reset Next
Answer:
I think E hope it can help
None of this makes sense
The volume of the cone is:
V=Sb×h/3=(pi×r²)×h/3, where Sb is the area of the base (circle of radius r) and h is the height.
V=pi×r²×h/3=pi×1.5²×5/3=11.775in³
The closest indicated value is the first one, 11.78in³
f (x) = -3x – 4.
f (2/3)=
Answer:
f(2/3)=-6
Step-by-step explanation:
f(x) =-3x-4
x=2/3 then
f(2/3)=-3*(2/3)-4=-6/3-4=-2-4=-6
A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?
Answer:
[tex]\text{A)}\qquad (x-2)^2+(y+1)^2=16[/tex]
Step-by-step explanation:
The formula for a circle of radius r centered at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...
(x -2)^2 +(y -(-1))^2 = 4^2
(x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A
A 1,000 gallon pool (no top) with a rectangular base will be constructed such that the length of the base is twice the width. Find the dimensions (length, width, and height) of the pool that minimize the amount of material needed to construct it.
Answer:
W = 4.646 ft
L = 9.292 ft
H = 3.097 ft
Step-by-step explanation:
Let's say the L is the length, W is the width, and H is the height.
The volume of the pool is:
V = LWH
The area of the pool is:
A = LW + 2LH + 2WH
L = 2W, so substituting:
V = (2W)WH
V = 2W²H
A = (2W)W + 2(2W)H + 2WH
A = 2W² + 4WH + 2WH
A = 2W² + 6WH
Solving for H in the first equation and substituting into the second:
H = V/(2W²)
A = 2W² + 3V/W
Find dA/dW and set to 0.
dA/dW = 4W − 3V/W²
0 = 4W − 3V/W²
4W = 3V/W²
4W³ = 3V
W = ∛(¾V)
V = 1000 gallons or 133.7 ft³.
W = ∛(¾(133.7 ft³))
W = 4.646 ft
So L = 9.292 ft and H = 3.097 ft.
You are adding 6[tex]\frac{3}{4}[/tex] + 3[tex]\frac{2}{3}[/tex] using fraction strips. Explain how you rename the fraction part of the sum.
Answer:
10 5/12
Fraction part: 5/12
Step-by-step explanation:
6¾ + 3⅔
6 + 3 + ¾ + ⅔
9 + [3(3) + 4(2)]/12 12 is the LCM
9 + (9+8)/12
9 + 17/12
9 + (12+5)/12
9 + 1 + 5/12
10 5/12
What is the measure of
Answer:
Angle QPU = 110
Step-by-step explanation:
Since angle QPU & RPQ are supplementary angles, they add up to 180 degrees. So take 180 - 70 which gives you 110.
Answer:
Step-by-step explanation:
Note, line UPR is a straight line
Also, angle on a straight line is 180
Therefore,
<QPU and <QPR are supplementary
<QPU+<QPR=180
Given that <QPR=70°
<QPU+70=180
Subtract 70° from both sides of the equation
<QPU=180 -70
<QPU=110
• (1) Which of the following are AP’s ? If they form an AP, find the common difference d and write 3 more terms.
• (a) 2,4,8,16……
• (b) -1.2, -3.2,-5.2,-7.2,…..
• ©2, 5/2 ,3, 7/2…..
• (d)-10,-6,-2.2, ……
Answer:
Option (b) -1.2, -3.2,-5.2,-7.2,….. is AP
The common difference = -2
3 more terms are ⇒ -9.2 , -11.2 , -13.2
Option (c) 2, 5/2 ,3, 7/2….. is AP
the common difference = 1/2
3 more terms are ⇒ 4 , 9/2 , 5
Step-by-step explanation:
AP ⇒ arithmetic progression is a sequence of numbers provide that the difference of any two successive members is a constant.
So, we will check the options:
• (a) 2,4,8,16……
The difference between 2 , 4 = 4 - 2 = 2
The difference between 4 , 8 = 8 - 4 = 4
So, option a is not AP
• (b) -1.2, -3.2,-5.2,-7.2,…..
The difference between -1.2 , -3.2 = -3.2 - (-1.2) = -3.2 + 1.2 = -2
The difference between -3.2 , -5.2 = -5.2 - (-3.2) = -5.2 + 3.2 = -2
So, option b is AP
The common difference = -2
3 more terms are ⇒ -9.2 , -11.2 , -13.2
• (c) 2, 5/2 ,3, 7/2…..
The difference between 2 , 5/2 = 5/2 - 2 = 1/2
The difference between 5/2 , 3 = 3 - 5/2 = 1/2
So, option c is AP
The common difference = 1/2
3 more terms are ⇒ 4 , 9/2 , 5
• (d) -10,-6,-2.2, ……
The difference between -10 , -6 = -6 - (-10) = -6+10 = 4
The difference between -6 , -2.2 = -2.2 - (-6) = -2.2 + 6 = 3.8
So, option d is not AP
So, the options that form an AP are b and c
is 419108 divisible by 4?
Answer:
419,108 is divisible by 4
Step-by-step explanation:
419,108 is divisible by 4, if there is an integer 'n' such that 419,108 = 'n' × 4.
Answer:
yes
Step-by-step explanation:
At the end of the number 419108 the last 2 digits 08 which is 8 can be divided by 4.
This is a rule the last 2 digits e.g 1,248 the 48 can be divided by 4.
Solve this problem : (X-3)^2
Answer:
x^2 - 6x + 9
Step-by-step explanation:
(x - 3)^2
(x - 3)(x - 3)
x^2 - 3x - 3x + 9
x^2 - 6x + 9
Answer:x^2-6x+9
Step-by-step explanation:
(x-3)^2=(x-3)(x-3)=x^2-3x-3x+9
Collect like terms
X^2-6x+9
Given: 2x + 3y = 6. When x has a value of zero, the y value is 2.
The statement is true. When x has a value of zero, the y value is 2. So option (a) is correct.
To determine whether the statement is true or false, let's first analyze the given equation:
2x + 3y = 6
We're given that when x = 0, y = 2. We can use this information to solve for y:
2(0) + 3y = 6
0 + 3y = 6
3y = 6
y = 6/3
y = 2
This confirms that when x = 0, y does indeed equal 2. So, the given information is consistent with the equation. Therefore, the statement "When x has a value of zero, the y value is 2" is true.
To summarize:
Given the equation 2x + 3y = 6, when x = 0, y = 2.
Proof:
2(0) + 3(2) = 6
0 + 6 = 6
6 = 6
Thus, when x is 0, y is indeed 2, verifying the statement as true.
Complete Question:
Given: 2x+3y=6. When x has a value of zero, the y value is 2.
(a) True
(b) False
what is the answer to 8/3 divided by 10/3?
Answer:
24/30
Step-by-step explanation:8/3 times 3/10. Multiply across. Always flip the 2nd fraction when dividing fractions then multiply
Answer:
4/5
Step-by-step explanation:
8/3 divided by 10/3
Remember, Keep Change Flip.
8/3 x 3/10
= 24/30
= 4/5
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
no solution
Step-by-step explanation:
no solution
a cone shaped pile of saw dust has a base diameter of 26 feet and is 10 feet tall find the volume of the pile
The formula to the volume of cone is πr²h. Pi x 13² x 10 = 5309.29158457.
The sum of four consecutive even integers is-28
Answer:
-10, -8, -6, -4
Step-by-step explanation:
Perhaps you want to know what they are.
__
The odd number between the middle two is their average value: -28/4 = -7.
The integers are -10, -8, -6, -4.
Answer: The even integers are -10, -8, -6 and -4
Step-by-step explanation:
Let the smallest of the even integers be represented by x, the other three will therefore be x +2, x +4 and x+6
Thus, x + (x+2) + (x+4) + (x+6) = -28
4x + 12= -28
Make x the subject of the equation
4x= -28 - 12
4x= -40
x = -10,
since the x = -10,
x + 2= -10 + 2= -8
x + 4= -10 +4 = -6
x + 6= -10 + 6= -4
I hope this helps.