Answer:
-7
Step-by-step explanation:
[tex]f(10) = 5-g(10)\\=5-(2(10)-8)\\=5-(20-8)\\=5-(12)\\=-7[/tex]
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times?
The required probability of the coin landing tails up at least two times is 15/16.
Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
In the given question,
let's approach inverse operation,
The probability of all tails = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
= 1 - 8 / 128
= 120 / 128
= 15 / 16
Thus, the required probability of the coin landing tails up at least two times is 15/16.
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What is the maximum value of the transformed function, y = -3cos (2x - 8) + 5
A. 3 units
B. 5 units
C. 8 units
D. 11 units
Answer:
C. 8 units.
Step-by-step explanation:
The maximum value of the cosine ( cos) function is 1
So, for y = 3cos(2x - 8) + 5
Maximum value is 3 *1 + 5 = 8.
y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.
Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→[infinity] (5x − ln(x))
The limit of lim x→[infinity] (5x − ln(x)) by using L'hospital rule is ∞.
According to the given question.
We have to find the limit of [tex]\lim_{x \to \infty} 5x - lnx[/tex]
As we know that L'hospital rule is a theorem which provides a technique to evaluate limits of indeterminate forms.
And the formual for L'hospital rule is
[tex]\lim_{x \to \ c} \frac{f_{x} }{g_{x} } = \lim_{x \to \ c} \frac{f^{'}( x)}{g^{'} (x)}[/tex]
[tex]\lim_{x \to \infty} 5x - lnx[/tex] can be written as
[tex]\lim_{x \to \infty} 5x - lnx\\= \lim_{x \to \infty} x(5 - \frac{lnx}{x})[/tex]
If we put the value of limit in lnx/x we get an indeterminate form ∞/∞.
Therefore, [tex]\lim_{x \to \infty} \frac{lnx}{x} = \frac{\frac{1}{x} }{1}[/tex]
[tex]\implies \lim_{x \to \infty} \frac{1}{x} = 0[/tex] (as x tends to infinity 1/x tends to 0)
So,
[tex]\lim_{x \to \infty} 5x - lnx\\= \lim_{x \to \infty} x(5 - \frac{lnx}{x})[/tex]
[tex]= \lim_{x \to \infty}x(5 -0)[/tex]
[tex]= \lim_{n \to \infty} 5x \\= \infty[/tex](as x tends to ∞ 5x also tends to infinity)
Therefore, the limit of lim x→[infinity] (5x − ln(x)) by using L'hospital rule is ∞.
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If you were a travel agent and a client asked about the daily cost of renting a condominium on maui, what average would you use? explain.
The average mean cost used for the condominium on maui is 132.5
According to the statement
we have given that the some data values and we have to find the mean of the data and tell the how much expensive is condominium on maui.
So, The given data set is
89 50 68 60 375 55 500 60 50 250 45 45 125 235 1 40 350 65 60 120
So, For this purpose we know that the
Average Mean is a middle point or something (as a place, time, number, or rate) that falls at or near a middle point
Formula to calculate mean is sum of terms / total number of terms.
So,
Mean = 89+ 50+ 68+ 60+ 375+ 55+ 500+ 60+ 50+ 250+ 45+ 45+ 125+ 235+ 1+ 40+ 350+ 65+ 60+ 120 / 20
Mean = 2643 / 20
Mean = 132.5
So, The average mean cost used for the condominium on maui is 132.5
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Maui Vacation How expensive is Maui? If you want a vacation rental condominium
(up to four people), visit a Maui tourism web site. The Maui News gave the following costs in dollars per day for a random sample of condominiums located throughout the island of Maui.
89 50 68 60 375 55 500 60 50 250 45 45 125 235 1 40 350 65 60 120
what average mean would you use?
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
○ [tex]F = \frac{S + 24}{3}[/tex]
Step-by-step explanation:
We know that:
[tex]S = 3F -24[/tex],
where F is the length of the foot of a person, and S is their shoe size.
To solve for the length of a person's foot, we have to rearrange the given equation to make F the subject:
[tex]S = 3F -24[/tex]
⇒ [tex]S + 24 = 3F[/tex] [adding 24 to both sides]
⇒ [tex]\frac{S + 24}{3} = F[/tex] [dividing both sides by3]
⇒ [tex]F = \frac{S + 24}{3}[/tex] [swapping the sides]
50 points!!!
Someone help pls, I can’t understand it and it’s due tomorrow :c
[tex]{\large{\textsf{\textbf{\underline{\underline{Question \: 1 :}}}}}}[/tex]
[tex]\star\:{\underline{\underline{\sf{\purple{Solution:}}}}}[/tex]
❍ Arrange the given data in order either in ascending order or descending order.
2, 3, 4, 7, 9, 11
❍ Number of terms in data [n] = 6 which is even.
As we know,
[tex]\star \: \sf Median_{(when \: n \: is \: even)} = {\underline{\boxed{\sf{\purple{ \dfrac{ { \bigg (\dfrac{n}{2} \bigg)}^{th}term +{ \bigg( \dfrac{n}{2} + 1 \bigg)}^{th} term } {2} }}}}}[/tex]
[tex]\\[/tex]
[tex] \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ { \bigg (\dfrac{6}{2} \bigg)}^{th}term +{ \bigg( \dfrac{6}{2} + 1 \bigg)}^{th} term } {2} }[/tex]
[tex]\\[/tex]
[tex] \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ \bigg( \dfrac{6 + 2}{2} \bigg)}^{th} term } {2} }[/tex]
[tex]\\[/tex]
[tex] \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ \bigg( \cancel{ \dfrac{8}{2}} \bigg)}^{th} term } {2} }[/tex]
[tex]\\[/tex]
[tex] \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ {3}^{rd} term +{ 4}^{th} term } {2} }[/tex]
• Putting,
3rd term as 4 and the 4th term as 7.
[tex]\longrightarrow \: \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ 4 + 7 } {2} }[/tex]
[tex]\longrightarrow \: \sf Median_{(when \: n \: is \: even)} ={ \dfrac{ 11} {2} }[/tex]
[tex]\longrightarrow \: \sf Median_{(when \: n \: is \: even)} = \purple{5.5}[/tex]
[tex]\\[/tex]
[tex]{\large{\textsf{\textbf{\underline{\underline{Question \: 2 :}}}}}}[/tex]
[tex]\star\:{\underline{\underline{\sf{\red{Solution:}}}}}[/tex]
❍ Arrange the given data in order either in ascending order or descending order.
1, 2, 3, 4, 5, 6, 7
❍ Number of terms in data [n] = 7 which is odd.
As we know,
[tex]\star \: \sf Median_{(when \: n \: is \: odd)} = {\underline{\boxed{\sf{\red{ { \bigg( \frac{n + 1}{2} \bigg)}^{th} term}}}}}[/tex]
[tex]\\[/tex]
[tex] \sf Median_{(when \: n \: is \: odd)} = {{ \bigg(\dfrac{ 7 + 1 } {2} \bigg) }}^{th} term[/tex]
[tex]\\[/tex]
[tex] \sf Median_{(when \: n \: is \: odd)} = { \bigg(\cancel{\dfrac{8}{2}} \bigg)}^{th} term[/tex]
[tex]\\[/tex]
[tex] \sf Median_{(when \: n \: is \: odd)} ={ 4}^{th} term[/tex]
• Putting,
4th term as 4.
[tex]\longrightarrow \: \sf Median_{(when \: n \: is \: odd)} = \red{ 4}[/tex]
[tex]\\[/tex]
[tex]{\large{\textsf{\textbf{\underline{\underline{Question \: 3 :}}}}}}[/tex]
[tex]\star\:{\underline{\underline{\sf{\green{Solution:}}}}}[/tex]
The frequency distribution table for calculations of mean :
[tex]\begin{gathered}\begin{array}{|c|c|c|c|c|c|c|} \hline \rm x_{i} &\rm 3&\rm 1&\rm 7&\rm 4&\rm 6&\rm 2 \rm \\ \hline\rm f_{i} &\rm 4&\rm 6&\rm 2&\rm 2 & \rm 1&\rm 1 \\ \hline \rm f_{i}x_{i} &\rm 12&\rm 6&\rm 14&\rm 8&\rm 6&\rm \rm 2 \\ \hline \end{array} \\ \end{gathered} [/tex]
☆ Calculating the [tex]\sum f_{i}[/tex]
[tex] \implies 4 + 6 + 2 + 2 + 1 + 1[/tex]
[tex] \implies 16[/tex]
☆ Calculating the [tex]\sum f_{i}x_{i}[/tex]
[tex] \implies 12 + 6 + 14 + 8 + 6 + 2[/tex]
[tex]\implies 48[/tex]
As we know,
Mean by direct method :
[tex] \: \: \boxed{\green{{ { \overline{x} \: = \sf \dfrac{ \sum \: f_{i}x_{i}}{ \sum \: f_{i}}}}}}[/tex]
here,
• [tex]\sum f_{i}[/tex] = 16
• [tex]\sum f_{i}x_{i}[/tex] = 48
By putting the values we get,
[tex]\sf \longrightarrow \overline{x} \: = \: \dfrac{48}{16}[/tex]
[tex]\sf \longrightarrow \overline{x} \: = \green{3}[/tex]
[tex]{\large{\textsf{\textbf{\underline{\underline{Note\: :}}}}}}[/tex]
• Swipe to see the full answer.
[tex]\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}[/tex]
The average of three numbers, p, q and 27 is 28.The average of five numbers p, q, r, s and 27 is 31.Find the average of r and s.
Using the given information, the average of r and s is 35.5
Calculating AverageFrom the question, we are to determine the average of r and s
From the give information,
The average of p, q and 27 is 28.
That is,
(p + q + 27)/3 = 28
p + q + 27 = 3×28
p + q + 27 = 84
p + q = 84 - 27
p + q = 57
Also,
The average of p, q, r, s and 27 is 31
That is,
(p + q + r + s + 27)/5 = 31
p + q + r + s + 27 = 5 × 31
p + q + r + s + 27 = 155
Thus,
57 + r + s + 27 = 155
r + s = 155 - 57 - 27
r + s = 71
The average of r and s is (r + s)/2
(r + s)/2 = 71/2
(r + s)/2 = 35.5
Hence, the average of r and s is 35.5
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Kwame must earn more than 16 1616 stars per day to get a prize from the classroom treasure box. Write an inequality that describes S SS, the number of stars Kwame must earn per day to get a prize from the classroom treasure box.
The inequality that describes the number of stars S that Kwame must earn per day to get a prize from the classroom treasure box is: S > 16.
What is the inequality that models this situation?The number of stars that he earns is represented by the variable S. He must earn more than 16 stars to earn a prize from the classroom treasure box, hence the inequality that represents the desired amount is given as follows:
S > 16.
Which is read as:
S is greater than 16, which is derived from the Fact that Kwame must earn more than 16 stars per day to get a prize, as stated in the problem.
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In a charity triathlon, Mark ran half the distance and swag a quarter of the distance. When he took a quick break to get a drink of Gatorade, he was just starting to bike the remaining 17 miles. What was the total distance of the race?
Answer:
68 miles
Step-by-step explanation:
The total distance can be determined from the fractions.
SolutionLet d represent the total distance of the race.
The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.
Remaining = total distance - distance running - distance swimming
17 mi = d -1/2d -1/4d = 1/4d . . . . . . . . use known fractions
68 mi = d . . . . . . . multiply by 4
The total distance of the race is 68 miles.
__
Additional comment
This would be a very difficult race. A typical "iron man" race has a swimming distance under 2.5 miles, less than 1/10 of the distance running. The biking distance is typically about 4 times the running distance of "only" 26 miles. An iron man race can take about 17 hours to complete.
This race has a 17-mile swimming segment, which would take a fast swimmer on the order of 8 hours, by itself. (This is 2.7 times the length of a "marathon" swim.) Here, the running distance is 34 miles, about 30% longer than a marathon.
How do you graph x < 5 on a number line and is the circle open or not? Where's the number line going? Thanks!
The inequality sign < means "less than." If there is a line underneath the inequality sign that means "less than or equal to."
To graph x < 5, we first need to understand what the inequality is saying. In this case, x must be less than 5. So, a number that will make this inequality true will be less than, but not equal to, 5.
Start by putting an open circle on the number 5. An open circle indicates that 5 is not a value that works in this inequality. Then, we know that our values that make this inequality true are less than 5, so we'll draw an arrow from the circle to the left as numbers to the left of 5 are less than it.
Hope this helps!
A lampshade made from a piece of sheet plastic has a radius of the inner circle to be 7cm and that of the outer circle is 28cm. if its arc subtends an angle of 315 degree at the center, what is the area of the plastic used to form the lampshade
The area of the plastic used to form the lampshade is 2021.25 square centimeters
How to determine the area of the plastic used to form the lampshade?The given parameters in the question are:
Outer radius, R = 28 cm
Inner radius, r = 7 cm
Angle, ∅ = 315
The area of the plastic used to form the lampshade is calculated using the following area of sector formula
A = ∅/360 * π(R² - r²)
Substitute the known values in the above equation
A = 315/360 * 22/7 * (28² - 7²)
Evaluate the exponents
A = 315/360 * 22/7 * (784 - 49)
Evaluate the difference
A = 315/360 * 22/7 * 735
Evaluate the product
A = 2021.25
Hence, the area of the plastic used to form the lampshade is 2021.25 square centimeters
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A point having a negative abscissa and negative ordinate is in quadrant ____.
Answer:
III
Step-by-step explanation:
This is a fact - A point having a negative abscissa and negative ordinate is in quadrant III.
Exponential Growth
Find f(4), where f(x) = 3x.
f(x) = 3^x
f(4) = 3^4
f(4) = 3 * 3 * 3 * 3
f(4) = 9 * 9
f(4) = 81
Hope this helps!
Jenny packaged 108 eggs in 9 cartons. Write this statement as a ratio
Answer:
12:1
Step-by-step explanation:
each pack contains 12 eggs
108/9 = 12
Hope this helps
Find the value of x
a. 13 b. 14/5 c. 5 d. 8
Answer:
C. 5
Step-by-step explanation:
The product of chord segment lengths is the same for the two crossing chords.
ApplicationOne chord has segment lengths 4 and 10; the other has segment lengths x and 8.
(4)(10) = (x)(8)
40/8 = x = 5 . . . . . . . divide by the coefficient of x
The value of x is 5, making option C the right choice, using the chord theorem.
The chord theorem, also known as the intersecting chords theorem, is a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal.
In the question, we are asked to find the value of x.
Using the chord property, we know that:
8*x = 4*10,
or, 8x = 40,
or, x = 40/8,
or, x = 5.
Thus, the value of x is 5, making option C the right choice, using the chord theorem.
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Alan's bamboo plant adds some flair to his apartment. In four weeks, Alan has trimmed a total of inches off the top of the plant. What is the rate of change in the plant's height in terms of inches per week? Ignore the growth rate of the plant.
The rate of change in the plant's height in terms of inches per week will be 1 2/3 inches.
How to calculate the rate?Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable.
The calculation for the rate of change is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period.
The change in y (y being the height of the plant) over 4 weeks was 6 2/3 inches and there are four weeks. Therefore, the average height will be:
= 6 2/3 ÷ 4
= 1 2/3 inches
The average rate of change of the plant growth per week was 1 2/3 inches.
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Complete question:
Alan's bamboo plant adds some flair to his apartment. In four weeks, Alan has trimmed a total of 6 2/3 inches off the top of the plant. What is the rate of change in the plant's height in terms of inches per week? Ignore the growth rate of the plant.
a.+1 2/3B)-1 2/3C)+3/5D)-5/2
Graph Y equals |x|-5
Answer:
graph C
Step-by-step explanation:
when X= 0
Y ---> -5
so , answer is graph C
Answer:
c
Step-by-step explanation:
the graph of | x | has its vertex at the origin and has shape V
the graph of | x | - 5 is the graph of | x | translated 5 units vertically down.
That is graph c represents | x | - 5
I need help cancelling units. please help
Hello and Good Morning/Afternoon:
Let's take this problem step by step:
Let's write out the equation we would hypothetically use to convert 410 kilometers to meters:
[tex]410 kilometers * \frac{1000 meters}{1 kilometers}[/tex]
Let's see if there are any errors:
there are 1000 meters in 1 kilometerwhen converting kilometer --> meter⇒ we want to get rid of the kilometer symbol
⇒ which is done in this problem
[tex]410 kilometers * \frac{1000 meters}{1 kilometers}=\frac{410 kilometers}{1 kilometers}*1000 meters = 410000meters[/tex]
Thus the answer is true
Answer: True
Hope that helps!
Which equation is represented by the graph below?
The equation of the graph, in slope-intercept form, is: C. y = 2/3x + 6.
How to Write a Linear Equation in Slope-Intercept Form?The linear equation of a graph in slope-intercept form is expressed as y = mx + b. Where the variable in the equation are as follows:
b = y-intercept (this is the point on the y-axis where the line intercepts).m = slope (this is the rise/run along the line = change in y / change in x).Considering the graph given, to write the linear equation it represents, find the slope (m) and the y-intercept (b) of the line.
Slope (m) = rise/run = 2 units/3 units
Slope (m) = 2/3.
The line intercepts the y-axis at y = 6, thus, the y-intercept (b) would be 6. b = 6.
Substitute m = 2/3 and b = 6 into the slope-intercept form equation, y = mx + b:
y = 2/3x + 6
Thus, the equation, in slope-intercept form, that represents the linear graph as shown in the image given is: C. y = 2/3x + 6.
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Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls.
The ratio
describes the part-to-whole relationship for boys.
The ratio
describes the part-to-whole relationship for girls.
Geometry: fill in the blanks (ASAP! It’s urgent)
a. altitude = CE
b. bisector = BD
c. exterior angle = ∠ABE
d. median = CF
e. remote interior angles = ∠BCE and ∠CEB
GeometryFrom the question, we are to fill in the blanks
In ΔBCE, we have that ∠BCE is a right angle
Thus,
a. altitude = CE
Also, we have that
∠EBD ≅ ∠CBD
Thus, BD is a bisector
b. bisector = BD
The exterior angle of the triangle is ∠ABE
c. exterior angle = ∠ABE
From the given information,
BF ≅ EF
∴ F is the midpoint of BE
NOTE: Median is a line segment joining the vertex of one side of the triangle to the midpoint of its opposite side.
The median of the triangle is CF
d. median = CF
The remote interior angles of the triangle are ∠BCE and ∠CEB
e. remote interior angles = ∠BCE and ∠CEB
Hence,
a. altitude = CE
b. bisector = BD
c. exterior angle = ∠ABE
d. median = CF
e. remote interior angles = ∠BCE and ∠CEB
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how do you solve this?
we are given x here, so we already know that our first coordinate is equal to -2.
in order to find the next coordinate, we have to substitute x for -2 in the y=mx+b equation.
the equation is
[tex]y = \frac{2}{3} x + 23[/tex]
so in substituting x for -2 we get
[tex]y = \frac{2}{3} ( - 2) + 23[/tex]
all we need to do is multiply ⅔ by -2, which gives us -1,3333.
we now have
[tex]y = - 1.3333 + 3[/tex]
so we add them together and get :
[tex]y = 1.666666[/tex]
hope this helps!!<3
Which characteristic is necessary to create a table that compares two functions?
Answer:
Which characteristic is necessary to create a table that compares two functions :
Choose the same values for each function [tex]\huge \checkmark[/tex]
How would you find the area or perimeter of this shape?
The perimeter of a given shape implies the sum of all its sides. While the area of a given shape is the total value of space it would cover on a 2-dimensional plane.
The perimeter of the shape is 104 cm.
The area of the shape is 640 [tex]cm^{2}[/tex].
The perimeter of a given shape implies the sum of all its length of sides., such that the value of each individual side is summed to a total value.
The area of a given shape is the total value of space it would cover on a 2-dimensional plane. The area of shapes depends on the type of shape.
In the given question, the given shape has 12 sides. Some of these sides can sum up to a given length as shown in the diagram.
So that;
perimeter = 2 + 32 + 10 + 10 + 2 + 32 + 8 + 8
= 104 cm
Thus, the perimeter of the shape is 104 cm
ii. The area of the shape = length x width
= 32 x 20
= 640 [tex]cm^{2}[/tex]
Therefore, the area of the given shape is 640 [tex]cm^{2}[/tex].
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Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.
The figure shows right triangle J K L with right angle L. The length of leg L J is equal to 7 point 2 units. The length of leg K L is equal to 3 units. The length of hypotenuse J K is equal to 7 point 8 units.
In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).
In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.
The side opposite to angle J is KL, which has a value of 3 units.
The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.
Thus, sin J can be calculated as:
sin J = KL/JK = 3/7.8 = 5/13 = 0.39.
Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
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math help please right now!!!!
Answer:
The second answer is correct.
Step-by-step explanation:
The height of an equilateral triangle is 4 startroot 3 endroot. what is the perimeter of the equilateral triangle?
Answer:
perimeter = 24
Step-by-step explanation:
formula:
In an equilateral triangle with sides of lengths ‘a’
The height of the triangle is equal to :
[tex]= \frac{\sqrt{3} }{2} a[/tex]
……………………………………………
Calculating ‘a’ :
We have to solve the equation:
[tex]4\sqrt{3} =\frac{\sqrt{3} }{2} a[/tex]
[tex]\Longleftrightarrow 4=\frac{1 }{2} a[/tex]
[tex]\Longleftrightarrow a = 8[/tex]
Calculating the perimeter:
= 3a
= 3 × 8
= 24
The following figure is made of 2 triangles.
9
5
A
Figure
Triangle A
Triangle B
Whole figure
7
B
Find the area of each part of the figure and the whole figure.
Area (square units)
area is 1/2 times base times height
triangle A
1/2 times 7 times 9
answer 31.5
Triangle B
1/2 times 7 times 5
answer 17.5
Which of the following measurements would be MOST likely to have a negative exponent in scientific notation?
a. The distance the Earth is from the sun in meters.
b. The length of a needle in millimeters
c. The length of a football field in inches.
d. The length of an amoeba in meters.
The measurements which would most likely to have a negative exponent in scientific notation is the length of an amoeba in meters.
Given four measurements:
The distance the Earth is from the sun in meters.The length of a needle in millimetersThe length of a football field in inches.The length of an amoeba in meters.We are required to choose one measurement which would most likely to have a negative exponent in scientific notation.
A negative exponent is defined as the multiplicative inverse of the base,raised to the power which is of the opposite sign of tthe given power.It is expressed as [tex]e^{-x}[/tex].
We know that exponent shows continuous growth or continuous decay.
Among all the measurement the measurement which is most likely to have a negative exponent in scientific notation is the length of an amoeba in meters because among all the option amoeba can grow continously or decay continuously.
Hence the measurements which would most likely to have a negative exponent in scientific notation is the length of an amoeba in meters.
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The speed of sound is approximately 1,225 kilometers
per hour. When an object travels faster than the speed of
sound, it creates a sonic boom.
Write an inequality that describes s, the speeds at
which a moving object creates a sonic boom.
Enter your inequality without a thousands separator.
s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.
Find the required inequality:From the question it is given that:
speed of sound is approximately 1225 km/hra moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boomFrom the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.
This clearly means that sonic booms are produced when s is greater that s
There are three possible situations in the given scenario:
Speed of light can be less than 1225 km/hr ⇒ s < 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)s = 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)s > 1225 km/hr ⇒ sonic boom is created (assumption is correct)Since we are looking for the true equation of creation of sonic waves,
it would be only the last one (s > 1225 km/hr).
Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.
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s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.
Find the required inequality:
From the question it is given that:
speed of sound is approximately 1225 km/hr
a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom
From the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.
This clearly means that sonic booms are produced when s is greater that s
There are three possible situations in the given scenario:
Speed of light can be less than 1225 km/hr ⇒ s < 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)
s = 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)
s > 1225 km/hr ⇒ sonic boom is created (assumption is correct)
Since we are looking for the true equation of creation of sonic waves,
it would be only the last one (s > 1225 km/hr).
Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.
Learn more about inequality here:
brainly.com/question/3696197
#SPJ1