The numbers ordered from least to greatest are: 5.1 × 10⁻⁴ ,2.2 × 10⁻²,5.5 × 10⁻²,4.4 × 10², 6 × 10², 3.5 × 10⁴. This ordering is based on comparing the exponents of 10 first and then the coefficients where the exponents are equal.
To order the numbers 5.5 × 10⁻², 6 × 10², 4.4 × 10², 3.5 × 10⁴, 2.2 × 10⁻², and 5.1 × 10⁻⁴ from least to greatest, you must understand scientific notation. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It's commonly used for very large or very small numbers.
5.1 × 10⁻⁴ : The smallest exponent of 10 and a small coefficient.
2.2 × 10⁻² : Next smallest exponent with a small coefficient.
5.5 × 10⁻² : Slightly larger coefficient but same exponent as the previous.
4.4 × 10² : Positive exponent and the smaller coefficient of the positive exponents group.
6 × 10² : Larger coefficient than the previous, but same exponent.
3.5 × 10⁴ : The largest exponent and a large coefficient, makes it the largest number.
8x+10=12x-18
Find the value of x
Is it possible for two integers to have no common factors
Final answer:
Two integers can have no common factors, making them coprime or relatively prime.
Explanation:
Yes, it is possible for two integers to have no common factors. When two integers have no common factors, they are considered relatively prime or coprime. For example, 15 and 28 are coprime because the only positive integer that divides both numbers is 1.
Two squares are drawn. The larger Square has area of 400 in.². The area of the two squares have a ratio of 1 to 4. What is the side length S of the smaller square?
Answer: S=10 in
Step-by-step explanation:
The first thing we must do in this case is to find the area of the smallest square.
For this, we use the following relationship:
A1 / A2 = 4/1
Substituting:
400 / A2 = 4/1
From here, we clear A2:
A2 = (1/4) * (400)
A2 = 100 in ^ 2
We now look for the side of the small square, we use the following relationship:
A = S ^ 2
We cleared S:
S = root (A)
S = root (100)
S = 10 in
I copied the guy above me 4 points
what other information do you meed to prove ΔABE≌ΔEDA by SSS .5pts
In an orchard, there are 15 apple trees,27 orange trees,,and a cherry tree.what is the ratio of orange trees?
Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3).
The first thing I'll do is solve "5y = 2x + 20" for "y=", so that I can find my reference slope:
y = (2/5)x + 4;
So the reference slope from the reference line is m = 2/5;.
Now I need to find two new slopes, and use them with the point they've given me; namely, with the point (-1, 3). They want me to find the line through (4, –1) that is parallel to 5y = 2x + 20; that is, through the given point, they want me to find a line that has the same slope as the reference line.
Since a parallel line has an identical slope, then the parallel line through (-1, 3) will have slope m = 2/5. Now I have a point and a slope! So I'll use the point-slope form to find the line: y - 3 = (2/5)( x + 1);
Finally, y = (2/5)x + 17/5;
What is the area of a sector with a central angle of 3π5 radians and a diameter of 21.2 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
Samuel paid $720 for a new music system. The list price for the music system was $800. What was his rate of discount?
Samuel received a 10% discount on the music system, calculated by finding the difference between the list price ($800) and the sale price ($720), then dividing that by the list price and multiplying by 100.
Explanation:The question at hand is about calculating the rate of discount Samuel received on his new music system. Initially, the list price of the music system was $800, but Samuel paid $720 for it. To find the rate of discount, we first need to determine the discount amount which is the difference between the list price and the sale price.
List Price = $800Sale Price = $720Discount Amount = List Price - Sale Price = $800 - $720 = $80Next, to find the rate of discount, we use the formula:
Rate of Discount = (Discount Amount / List Price) × 100
Substituting the values we have:
Rate of Discount = ($80 / $800) × 100 = 10%
Therefore, Samuel received a 10% discount on the music system.
What is the length of z ?
Answer:
The length of z is [tex]3\sqrt{3}[/tex] unit
Step-by-step explanation:
First Label the diagram as shown in the attachment:
In right [tex]\triangle ABC[/tex];
first find the value of y:
Use Pythagoras theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides.
In [tex]\triangle ABC[/tex]
length of AB =6 unit , length of BC =y unit and the length of AC = 3+9 =12 unit
Now, using Pythagoras theorem to get the value of y;
[tex]AB^2+BC^2=AC^2[/tex]
[tex]6^2+y^2=12^2[/tex] or
[tex]36+y^2=144[/tex] or
[tex]y^2=144-36[/tex]=108 or
[tex]y=\sqrt{108}[/tex]
on simplify we get, [tex]y=6\sqrt{3}[/tex] unit
Therefore, the length of BC is [tex]6\sqrt{3}[/tex] unit.
now, in [tex]\triangle BDC[/tex]
using Pythagoras theorem to find the value of z;
[tex]BD^2+CD^2=BC^2[/tex]
Putting the values of BD = z units , BC = [tex]6\sqrt{3}[/tex] unit and DC = 9 units we have,
[tex]z^2+9^2=(6\sqrt{3})^2[/tex] or
[tex]z^2+81=108[/tex] or
Simplify:
[tex]z^2=27[/tex] or
[tex]z=\sqrt{27} = 3 \sqrt{3}[/tex]
Therefore, the value of length z is [tex]3\sqrt{3}[/tex] unit
The product of 0.1400 × 6.02 × 1023 will have how many significant figures?
Answer:
3
Step-by-step explanation:
We are given that an expression
[tex]0.1400\times 6.02\times 10^{23}[/tex]
We have to find the number of significant figures in the product .
In 0.1400 , there are 4 significant figures
In [tex]6.02\times 10^{23}[/tex], there are three significant figures
[tex]0.1400\times 6.02\times 10^{23}[/tex]
[tex]0.8428\times 10^{23}[/tex]
In multiplication, we have to precise the final answer to least significant figures.
Therefore, the final answer=[tex]0.843\times 10^{23}[/tex]
Hence, three significant figures in the product.
How do I answer this equation? -3x+y=12. I'm supposed to find the function for it bt I don't know how. Can you guys help me out please
Answer:
[tex]y=3x+12[/tex]
Step-by-step explanation:
We have been given an equation in standard form [tex]-3x+y=12[/tex]. We are asked to write our given equation as a function.
We know that the function represents a relationship between input and output, where each input gives exactly single output.
To write our given equation as a function we need to convert our given equation into slope-intercept form of equation because in slope-intercept form, there is exactly one y output for each input of x.
[tex]y=mx+b[/tex], where,
m = Slope,
b = The y-intercept.
To convert our given equation into slope-intercept form, we need to get y on left side of our equation.
[tex]-3x+3x+y=3x+12[/tex]
[tex]y=3x+12[/tex]
Now our equation is in form of a function, where each value of x gives exactly one y value.
(−3)∙(3a−2b)−6(2a−4b)
Which image that would portray the rotation of the given preimage and the rotation arrow.
Pre-image (1st picture shown):
Image (the following 4 pictures are the options):
Answer:
First figure as shown below is the correct option.
Step-by-step explanation:
We are given that,
The pre-image is rotated in the direction of the arrow to form an image.
It is required to find the image formed.
Since, the arrow is rotating counter-clockwise, we get that,
The star in the pre-image will rotate upwards towards the left.
So, according to the options, we have,
The first image where the star is at the highest height will be the image after rotating the pre-image.
Hence, the first figure as shown below is the correct option.
What is the measure of angle C?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
36.87
Step-by-step explanation:
Just took the k12 test!!
15.21–3.9–4.7+6.79 Calculate in the fastest way possible!
Answer:
13.4
Step-by-step explanation:
=15.21-3.9-4.7+6.79
=15.21+6.79-3.9-4.7
=22-3.9-4.7
=18.1-4.7
=13.4
Please help me please
Solve please This is Composite Figures :)
WILL GIVE BRAINLIEST
WILL GIVE BRAINLIEST AND 50 points
out of a port departed a steam boat with a speed of 36.8km/h. In 1.75 hours out of the same port and going the Sam direction departed a speed boat. In 1.8 hours after the the department of the speed boat, the distance between the speed boat and the steam boat was 86.9km. What was the speed boats speed in km/h?
Answer: the speed boats speed in km / h is:
v = 3062.8 Km / h
WILL GIVE BRAINIEST!! I need your help!
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?
.
(07.01)
Four polynomials are shown below:
A. 3 − 7x5 + x2
B. 5x3 + 5 − 3x
C. 3x + 2x3 − x2 + 6 + 2x
D. 3x3 − 5 + 2x5 + x + 2x2
Which of the above polynomials is a 5th degree trinomial?
Answer: The answer you are looking for is option A which would be 3 - 7x^5 +x^2
Step-by-step explanation: It is a 5th degree trinomial because, there are three terms in this equation being 3, 7x^5, and x^2; this makes it a trinomial becuase there are three terms. What makes this a 5th degree is the fact that the highest exponet is 5.
Help!! does x = 2??
An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step.
What is the wavelength of an earthquake wave if it has a speed of 7 km/s and a frequency of 3 Hz?
Answer: Our wavelength will be 2333.3 m.
Step-by-step explanation:
Since we have given that
Wave speed = 7 km/ s
Frequency = 3 Hz
We need to find the wavelength of an earthquake wave:
As we know that :
[tex]Frequency=\dfrac{Wave\ speed}{wavelength}[/tex]
First we convert km/sec to m/sec.
So, 7 km/sec= 7000 m/sec
so, our wavelength becomes
[tex]\dfrac{Wave\ speed}{frequency}\\\\\\=\dfrac{7000\ m/sec}{3\ Hz}\\\\\\=2333.33\ m[/tex]
So, our wavelength will be 2333.3 m.
Which number produces an irrational number when added to 0.4
To find an irrational number when added to 0.4, you need to add an irrational number. One example is adding the square root of 2 to 0.4.
To find a number that produces an irrational number when added to 0.4, let's consider a rational number like 0.6.
Irrational numbers are infinite in nature and cannot be represented accurately as a finite decimal or fraction. They exist along with rational numbers, forming the set of real numbers on the number line.
0.4 + 0.6 = 1, which is rational.Rational + Irrational = Irrational, so to get an irrational number, you need to add an irrational number.One example of an irrational number you can add to 0.4 to get irrational is √2 - 0.4, where √2 is irrational.Linwood has 38 nickels, 32 dimes, 11 quarters, and 17 fifty-cent pieces. How much money does he have?
A. $16.35
B. $15.15
C. $14.85
D. $16.65
What are the equations of the horizontal asymptotes of y = (4e^x+7)/(e^x-1) in the xy plane?
Final answer:
The horizontal asymptotes of the function y = (4e^x+7)/(e^x-1) are y = 4 and y = -7, occurring as x approaches positive and negative infinity respectively.
Explanation:
The equations of the horizontal asymptotes of the given function y = (4e^x+7)/(e^x-1) can be found by analyzing the behavior of the function as x approaches positive or negative infinity. In this function, as x approaches infinity, e^x grows much faster than any constant, so the constants can be considered negligible. Thus, the behavior of the numerator and denominator is dominated by the terms involving e^x. As x tends towards infinity, the function approaches the ratio of the coefficients of e^x, which is 4/1, meaning the horizontal asymptote is y = 4. As x tends towards negative infinity, e^x approaches zero, and the function approaches 7/(-1), so there is also an asymptote at y = -7.
It is given that there is a vertical asymptote at x = -1, where the denominator becomes zero and hence "blows up".
Please help! How did the failure of the League of Nations help contribute to instability in Europe?,
Graph y = sin(x) on the graphing calculator. Use the graph to determine the height of the barnacle with respect to water level as the boat has traveled the given distance. When the boat has traveled 7 meters, the height of the barnacle is approximately:
Answer:
The height of the barnacle is approximately is, 0.657 meters.
Step-by-step explanation:
Given the graph below of y =sin(x) ......[1]
Let y be the height of the barnacle and x be the distance the boat has traveled
Given: The boat has traveled 7 meters
i.e, x = 7 meters
to find the height y :
Substitute the value of x =7 meters in [1] we have;
y = sin(7) ≈0.657.
Therefore, the height of the barnacle is approximately is, 0.657 meters.
you can see also in the graph as shown below:
Answer:
1st is C 2nd is B
Step-by-step explanation:
A magazine published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by??? 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S.??? drivers? Why or why??? not?
What is the equation of the axis of symmetry for the parabola y equals start fraction one over three end fraction left parenthesis x plus one right parenthesis squared minus three?