Answer:
For 1: The wave speed of the wave is 30 m/s
For 2: The wave speed of the wave is 5 m/s
For 3: The frequency of the wave is 40 Hz
For 4: The frequency of the wave is 400 Hz
For 5: The frequency of the wave is 300 Hz
For 6: The wavelength of the wave is 0.773 m
For 7: The wavelength of the wave is 0.386 m
For 8: The wavelength of the wave is 0.625 m
For 9: The wave speed of the wave is 100 m/s
For 10: The wave speed of the wave is 50 m/s
Step-by-step explanation:
Wave speed is defined as the product of its wavelength and frequency.
Mathematically,
[tex]\text{Wave speed}=\lambda\times \nu[/tex]
where,
[tex]\lambda [/tex] = wavelength of the wave
[tex]\nu [/tex] = frequency of the wave
For 1:We are given:
[tex]\lambda =0.30m\\\\\nu=100Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.30\times 100=30m/s[/tex]
Hence, the wave speed of the wave is 30 m/s
For 2:We are given:
[tex]\lambda =0.10m\\\\\nu=50Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.10\times 50=5m/s[/tex]
Hence, the wave speed of the wave is 5 m/s
For 3:We are given:
[tex]\lambda =0.50m\\\\\text{Wave speed}=20m/s[/tex]
Putting values in above equation, we get:
[tex]20/s=0.50m\times \nu\\\\\nu=\frac{20}{0.50}=40s^{-1}[/tex]
Hence, the frequency of the wave is 40 Hz
For 4:We are given:
[tex]\lambda =0.20m\\\\\text{Wave speed}=80m/s[/tex]
Putting values in above equation, we get:
[tex]80/s=0.20m\times \nu\\\\\nu=\frac{80}{0.20}=400s^{-1}[/tex]
Hence, the frequency of the wave is 400 Hz
For 5:We are given:
[tex]\lambda =0.40m\\\\\text{Wave speed}=120m/s[/tex]
Putting values in above equation, we get:
[tex]80/s=0.20m\times \nu\\\\\nu=\frac{120}{0.40}=300s^{-1}[/tex]
Hence, the frequency of the wave is 300 Hz
For 6:We are given:
[tex]\nu =440Hz\\\\\text{Wave speed}=340m/s[/tex]
Putting values in above equation, we get:
[tex]340/s=\lambda\times 440\\\\\lambda=\frac{340}{440}=0.773m[/tex]
Hence, the wavelength of the wave is 0.773 m
For 7:We are given:
[tex]\nu =880Hz\\\\\text{Wave speed}=340m/s[/tex]
Putting values in above equation, we get:
[tex]340/s=\lambda\times 880\\\\\lambda=\frac{340}{880}=0.386m[/tex]
Hence, the wavelength of the wave is 0.386 m
For 8:We are given:
[tex]\nu =400Hz\\\\\text{Wave speed}=250m/s[/tex]
Putting values in above equation, we get:
[tex]250/s=\lambda\times 400\\\\\lambda=\frac{250}{400}=0.625m[/tex]
Hence, the wavelength of the wave is 0.625 m
For 9:We are given:
[tex]\lambda =2.0m\\\\\nu=50Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=2.0\times 50=100m/s[/tex]
Hence, the wave speed of the wave is 100 m/s
For 10:We are given:
[tex]\lambda =0.50m\\\\\nu=100Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.50\times 100=50m/s[/tex]
Hence, the wave speed of the wave is 50 m/s
PLEASE HELP ASAP!!!
A circular sinkhole has a circumference of 75.35 meter. A week later, it has a circumference of 150.42 meters.
a.) Estimate the diameter of the sinkhole each week
b,) How many times greater is the diameter of sinkhole now compared to the previous week?
Please explain your anwser ( i didn't understand the part about EACH WEEK)
Thanks in advance!
Final answer:
Using the circumference formula, the estimated diameters of the sinkhole are approximately 24 meters for the first week and 48 meters for the second week. The diameter in the second week is 2 times greater than in the first week.
Explanation:
The question asks for the estimation of diameters of a circular sinkhole at two different times based on their circumferences and how much greater the diameter is in the second week as compared to the first week.
To estimate the diameter of the sinkhole, we use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter. We rearrange the formula to solve for the diameter, giving us d = C/π. Using π ≈ 3.14, we calculate the diameter for each week. In the first week, the diameter is approximately 75.35 meters/3.14 = 24 meters, and in the second week, it's approximately 150.42 meters/3.14 = 48 meters.
To find how many times greater the second diameter is compared to the first, we divide the second diameter by the first diameter: 48 meters/24 meters = 2. This means the diameter of the sinkhole in the second week is 2 times greater than the first week.
If the profits in your consulting business increase by 5% one year and decrease by 3% the following year, your profits are up by ____% over two years. How do I solve this question?
Final answer:
To calculate the change in profits over two years with a 5% increase followed by a 3% decrease, the successive percentage change formula was used which resulted in a value 1.85% (approximately).
Explanation:
To solve the question, we need to consider the successive percentage changes in profits over two years. If profits increase by 5% one year and decrease by 3% the following year, we can calculate the overall percentage change using the formula for successive percentage changes.
Let's assume the initial profit is $100. After increasing by 5%, the profit becomes $105. Then, after decreasing by 3%, the profit becomes $105 * (1 - 0.03) = $105 - $3.15 = $101.85. Therefore, over two years, profits are up by 1.85% (approximately).
What is the solution to this equation
Answer with explanation:
⇒The given equation of line in two variable is :
y = 10 x + 15
If we have to find the solution of the equation of a unique line,as on a line there are infinite number of points lying on it.
So, Line, y=10 x + 15, has infinite number of solution.
Substituting different value of , x we will get different value of y,and by Substituting Different values of y, we will get different values of x.
→→If, x=k, then solution set of line, y=10 x + 15 ,will be,
(x,y)=All the points lying on the line, that is of the form,(k, 10 k +15).
Select three equations that have no solution.
A.19 + b + 12b – 8 – 5b = 2b – 7 + 3b + 3b – 4
B.4b – 9b – 13 – 6 + 16b = 1 – 8 + 6b + 5b – 12
C.7 + 7b – 2 – 15b + b = 4b – 5 – 11b + 2 + 10
D.10b + 8b + 9 – 18b + 3 = 5 + 6b – 2b – 12 + 7
E.9 – 19b – 9 – 2b + 7b = 4b + 3 + 14 – 4b – 17
F.8b – 10 + b + 3b + 2 = 7 + 2b + 10b – 18 – 3
The three equations that have no solutions are A ,C and F
What is Linear Equation in 1 variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution
Given data ,
A )
19 + b + 12b – 8 – 5b = 2b – 7 + 3b + 3b – 4
On Simplifying , we get
8b + 11 = 8b - 11
Hence , the option has no solution
B )
4b – 9b – 13 – 6 + 16b = 1 – 8 + 6b + 5b – 12
On Simplifying , we get
11b - 19 = 11b - 19
Adding 19 on both sides , we get
11b = 11b
Divide by 11 on both sides , we get
b = b
Hence , the option has a solution
C )
7 + 7b – 2 – 15b + b = 4b – 5 – 11b + 2 + 10
On Simplifying , we get
- 7b + 5 = - 7b + 7
Hence , the option has no solution
D )
10b + 8b + 9 – 18b + 3 = 5 + 6b – 2b – 12 + 7
On Simplifying , we get
0 + 12 = 4b + 0
4b = 12
Divide by 4 on both sides , we get
b = 3
Hence , the option has a solution
E )
9 – 19b – 9 – 2b + 7b = 4b + 3 + 14 – 4b – 17
On Simplifying , we get
0 - 14b = 0
b = 0
Hence , the option has a solution
F )
8b – 10 + b + 3b + 2 = 7 + 2b + 10b – 18 – 3
On Simplifying , we get
12b - 8 = 12b - 12
Hence , the option has no solution
Therefore , the three equations that have no solutions are A ,C and F
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anyone can help make sure my answers is right. Thanks
If a large Rubik's cube has a volume of 1331 cubic inches what is its surface area ?
Which expression represents the calculation “subtract 30 from 40, then multiply by 4"? A) (30 − 40) × 4 B) 40 − (30 × 4) C) 4 − (40 × 30) D) 4 x (40 − 30)
Hanshvsbajsbhsjsndbjs
The table shows the electric current produced by a solar cell in different amounts of sunlight (light intensity). Answer the questions using the data. I only need help on 5 and 6
To find the current in milliamperes produced by the solar cells of a pocket calculator, divide the charge passing through the calculator by the time. In this case, the current is 0.00111 milliamperes.
Explanation:The current in milliamperes produced by the solar cells of a pocket calculator can be found using the equation:
Current (in mA) = Charge (in C) / Time (in s)
In this case, the charge passing through the calculator is given as 4.00 C and the time is given as 4.00 h (which can be converted to seconds by multiplying by 3600). Substitute these values into the equation to find the current.
Current = 4.00 C / (4.00 h * 3600 s/h) = 0.00111 mA
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Wayne went on a 4km hike. He took a break at 4/3 k. He took a drink of water at 10/3. Show Wayne's hike on the number line. Include his starting and finishing Place, and the 2 points where he stopped
Taylor recycled 3600 bottles and cans. She recycled 8 times more cans than bottles . How many more cans than bottles did she recycle?
The sketch shows two parallel lines cut by a transversal. Angle 1 is 58°. What is the measure of angle 7?
The measure of angle 7 for the given set of parallel lines with given measure of angle 1 as 58 degrees is equal to 122°.
Here line m is parallel to line n and 'q' is the transversal.
In general, when two parallel lines are cut by a transversal, any pair of corresponding exterior angles are congruent.
Angles 1 and 5 are corresponding pair of exterior angles, which are always congruent.
So, the measure of angle 5 is the same as the measure of angle 1, which is 58°.
And measure of angle 5 and angle 7 are linear pair .
This implies,
Measure of ( angle 5 + angle 7 ) = 180°
⇒Measure of angle 7 = 180° - 58°
⇒Measure of angle 7 = 122°
Therefore, the measure of the angle 7 is equal to 122 degrees.
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The above question is incomplete, the complete question is:
The sketch shows two parallel lines cut by a transversal. Angle 1 is 58°. What is the measure of angle 7?
Attached figure.
A recent survey of 2500 seventh graders from across the state shows 2 out of 5 of them do not eat breakfast. How many of the students surveyed do not eat breakfast?
Out of the 2500 seventh graders surveyed, 1000 of them do not eat breakfast, based on the proportion of 2 out of 5.
To find out how many seventh graders surveyed do not eat breakfast, we can use the proportion of students who do not eat breakfast from the survey results.
Given:
- Total number of seventh graders surveyed: 2500
- Proportion of seventh graders who do not eat breakfast: [tex]\( \frac{2}{5} \)[/tex]
To find the number of seventh graders who do not eat breakfast, we multiply the total number of seventh graders surveyed by the proportion who do not eat breakfast:
[tex]\[ \text{Number of students not eating breakfast} = \frac{2}{5} \times 2500 \]\[ \text{Number of students not eating breakfast} = \frac{2 \times 2500}{5} \]\[ \text{Number of students not eating breakfast} = \frac{5000}{5} \]\[ \text{Number of students not eating breakfast} = 1000 \][/tex]
Therefore, out of the 2500 seventh graders surveyed, 1000 of them do not eat breakfast.
If you built a a sidewalk around a lion's den and it had a radius of 11 m on the outer edge of the sidewalk and a radius of 9 m and the inner edge of the sidewalk . write and simplify the expression for the exact area of the sidewalk, and find the approximate area of the sidewalk using 3.14 to approximate pi.
A recipe calls for 2 cup so of flour, 1/4 cup sugar, 1/3 cup milk. What Ismaili the total volume of the three ingredients?
You buy a watch for $60. There is a 6% sales tax. What is your total cost for the watch?
write the function:
[tex]f(x) = - 5 {x}^{2} - 60x - 181[/tex]
in vertex form, and identity its vertex
What is the surface area of the figure shown? (Use 3.14 for π.)
A. 178.98 in.2
B. 178.98 in.3
C. 235.5 in.2
D. 235.5 in.3
By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?
Categorize these samples as representative or not representative of the given populations.
Answer:
1) Tina interviews the school's soccer team about the exercise habits of the students at her school. (implying all the students). This means that Tina only goes to the soccer team instead of the whole school to find out the whole school's exercise habit.
2) Alana also counts as representatives, because she did not interview ALL of the teachers, rather just a selected majority (in this case)
5) For Jeremy, he only interviews 5 students from each class rather than all students
Not Representatives: Each person is given a choice of opinion and does not affect other people.
3) Joe talks to fathers of high school students, which could be larger than just 'representatives', and implies a larger group of people, and is not as selective as having representatives
4) Social Media constitutes of a large group of people, generally larger than a school, and if people take time to take the survey, it will generate a larger test-group. Also, everybody answering the survey would take time to think about themselves, and only represent themselves, and not others.
Step-by-step explanation:
hope dis help no cap facts gang gang
when 6 less than 3 lots of a number is doubled the result is 18
The unknown number is 5.
Let's represent the unknown number as "x."
The statement "6 less than 3 lots of a number" can be written as 3x - 6.
The next part of the statement is "doubled the result is 18," which translates to 2 * (3x - 6) = 18.
Now, we can solve for "x" using the equation:
2 * (3x - 6) = 18
Expand the expression on the left side:
6x - 12 = 18
Next, isolate "6x" by adding 12 to both sides:
6x = 18 + 12
6x = 30
Now, solve for "x" by dividing both sides by 6:
x = 30 / 6
x = 5
Therefore, the unknown number is 5.
To verify:
"6 less than 3 lots of 5" is (3 * 5) - 6 = 15 - 6 = 9.
"Double the result" of 9 is 2 * 9 = 18, which matches the given result. Hence, the solution is correct.
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Help me asap please!!
please help i will mark brailiest
Answer:
its 49
Step-by-step explanation:
Josh book has 64 pages. Josh read 27 pages in the morning He reads 18 more pages that night How many pages does josh need to read to finish the book
Final answer:
Josh has read a total of 45 pages after reading 27 pages in the morning and 18 at night. With 64 pages in the book, he needs to read 19 more pages to finish it.
Explanation:
Josh's book has 64 pages in total. He read 27 pages in the morning and 18 more pages at night. To calculate the number of pages Josh still needs to read to finish the book, we do some quick math:
Add the number of pages read in the morning to the number read at night: 27 pages + 18 pages = 45 pages.Subtract the total number of pages read from the total number of pages in the book: 64 pages - 45 pages = 19 pages.Therefore, Josh needs to read 19 more pages to finish his book.
Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25, 0.75) , B′(0.75, 1.75) , and C′(0.25, 1) . The center of dilation is the origin.
What is the scale factor of the dilation?
A.) 0.25
B.) 0.5
C.) 2
D.) 4
Dustin, a truck driver, has a delivery to make that is 866 miles away. If Dustin drives at a steady rate of 70 miles per hour for 540 minutes, how many more miles does he have to go?
A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.
How much fencing will he need?
Round to the nearest foot.
Answer: the answer is 96
Step-by-step explanation:
I am a number less than 3000. When you divide me by 32, my remainder is 30. When you divide me by 58, my remainder is 44. What number am I?
Please helpp!!! ASAP
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation S² = 3V / H so s is by itself on one side of the equation.
Zachary is solving the following equation
3/4(x - 8)= 12
Which is the best first step to begin to simplify the equation?
A.Multiply both sides of the equation by 3/4
B.Divide both sides of the equation by 4/3
C.Distribute 3/4 over (x - 8)
D.Distribute 4/3 over (x - 8)
Answer:
C. Distribute 3/4 over (x - 8)
Step-by-step explanation:
There are multiple ways to begin solving this problem.
If we want to cancel the 3/4 without using the distributive property, we would divide both sides by 3/4. Dividing by 4/3 will not cancel it.
When dividing by fractions, we multiply by the reciprocal; this would be multiplying both sides by 4/3. Multiplying by 3/4 will not cancel it.
Using the distributive property, we multiply (x-8) by the number in front of parentheses, 3/4. We cannot distribute 4/3, since it is not part of the equation.