Answer:
6C + $50 is the correct answer
A designer is working on a line of athletic equipment. He is designing a cylindrical punching bag. The designer wants to use a maximum of 1.3M^2 of material to make the bag, and has determined that the diameter of the bag should be 36cm. Determine the maximum possible height of the bag, to the nearest centimetre.
Please help me
The maximum possible height of the bag is 11.51 cm to the nearest centimeter.
What is the surface area of a cylinder?The surface area of a cylinder is defined as the sum of the surface area of the curved surface and the area of the two rounded bases of the cylinder. Area of cylinder = convex area of circular bases. SA. (π) = 2πr (h +r) square unit. Where π (Pi) = 3.142 or = 22/7. r = radius of the cylinder.
The surface area of the cylinder is given by the following formula:
SA = 2πrh + 2πr²
where r is the base radius, h is the height, and π is a constant approximately equal to 3.14.
Since the diameter of the bag is 36 cm, the radius is half that, ie. 18 cm.
We know that the maximum amount of material is 1.3 M². This means that the surface area (SA) of the cylinder must be less than or equal to 1.3 M²:
2πrh + 2πr² ≤ 1.3M²
We can rearrange this equation to solve for h:
h ≤ (1.3M² - 2πr²) / (2πr)
Substitute the values of r and π:
h ≤ (1.3M² – 2π(18cm)²) / (2π(18cm))
h ≤ (1.3M² – 2π(324cm²)) / (36π)
h ≤ (1.3M² – 648π) / (36π)
h ≤ 11.51 cm
Therefore, the maximum possible height of the bag is 11.51 cm to the nearest centimeter.
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se the equation to complete the activity.
219 86Rn→215 84Po+α
The nuclear equation shows the transmutation of a form of radon into polonium and an alpha particle. In one to two sentences, explain whether or not the reaction is balanced.
(2 points)
The equation is balanced since an alpha particle was emitted.
As, Natural transformation happens on its own because of the element's half life. Unlike natural transmutation, which requires exposing one element to another element or particle by induction or bombardment.
The radon element transforms into polonium and an alpha particle in the example inquiry. The equation is as follows:
[tex]_{86}^{219}RN[/tex] => [tex]_{84}^{215}Po[/tex] + [tex]_{2}^{4}a[/tex]
Therefore, the equation is balanced since an alpha particle was emitted.
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nformation on a packet of seeds claims that 93% of them will germinate. of the 200 seeds that were planted, only 180 germinated. a. find a 95% confidence interval for the true proportion of seeds that germinate based on this sample. b. does this seem to provide evidence that the claim is wrong?
a) The 95% confidence interval for the true proportion of seeds that germinate based on the sample is (0.856, 0.944).
b) The sample does not provide evidence that the claim of 93% germination is wrong, but it does suggest that the true proportion of seeds that germinate may be lower than the claimed proportion.
To find a confidence interval for the true proportion of seeds that germinate, we can use the following formula
CI = p ± z√(p(1-p)/n)
where p is the sample proportion, z is the z-score corresponding to the desired confidence level (95% in this case), and n is the sample size.
a. Using the given values, we have:
p = 180/200 = 0.9
z = 1.96 (from a standard normal distribution table for a 95% confidence level)
n = 200
Plugging these values into the formula, we get
CI = 0.9 ± 1.96√(0.9(1-0.9)/200) = (0.856, 0.944)
Therefore, we can be 95% confident that the true proportion of seeds that germinate is between 0.856 and 0.944.
b. To determine if this provides evidence that the claim is wrong, we can check if the confidence interval includes the claimed proportion of 0.93. Since 0.93 is within the confidence interval of (0.856, 0.944), we cannot conclude that the claim is wrong based on this sample. However, we can say that the sample provides evidence that the true proportion of seeds that germinate may be lower than the claimed proportion.
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the head of hr in a 50,000 person pharmaceutical company wanted to determine if she should implement a work at home policy for the company. first, she wanted some information. she asked the data analyst to determine if marital status affected commuting times. she assumed that married people lived farther away because they were more likely to have children and be concerned about school districts and communities. on the other hand, single people would want to live close to work. the hr analyst tasked with the job randomly selected 15 employees and found that marital status was related to commute times, but surprisingly, it was in the opposite direction. she found single people lived farther away than married people. what error did the hr analyst make?
The head of hr in a 50,000 person pharmaceutical company wanted to determine if she should implement a work at home policy for the company.
The HR analyst made an error in assuming that correlation implies causation. Just because there is a correlation between marital status and commuting times.
Additionally, the sample size of 15 employees may not be representative of the entire population of the company, which has 50,000 employees. The small sample size may have introduced sampling bias or sampling error, which could affect the generalizability of the findings.
Hence, the HR analyst should not make a decision about implementing a work at home policy based solely on this small and potentially biased sample.
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work out the circumference of a 13cm circle. Take pi to be 3.142 and write down all the digits given by your calculator
The circumference of the 13cm circle is 40.846 cm.
What is the circumference of the circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.142 )
Given that; the diameter is 13 cm, the radius is half of that:
radius r = diameter / 2
radius r = 13m / 2
radius r = 6.5 cm
Substituting this into the formula, we get:
C = 2 × π × r
C = 2 × 3.142 × 6.5cm
C = 40.846 cm
Therefore, the circumference is 40.846 cm.
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The perimeter of the base of a square pyramid is 32 inches. The height of the pyramid is 3 inches. What is the surface area of the pyramid?
Responses
128 in°
96 in²
144 in²
72 in²
The surface area of the pyramid is 112 square inches if the perimeter of the base of a square pyramid is 32 inches. Thus, option A is correct.
The perimeter of a square pyramid = 32 inches
The height of a square pyramid = 3 inches
If the perimeter is 32 inches, then the sum of the lengths of all four sides is 32 inches.
Length of side= 4s = 32
Length of side = 8 inches
Area of square = [tex]a^{2}[/tex] = [tex]8^{2}[/tex] = [tex]64 inch^{2}[/tex]
Area of triangle = (1/2) x base x height
Area of triangle = (1/2) x (8) x (3)
Area of triangle = [tex]12 in^2[/tex]
The total area of four triangles is calculated by:
Total area of triangle = 4 x (12) = [tex]48 in^2[/tex]
The total surface area of the pyramid = area of square + Area of triangle The total surface area of the pyramid = 64 + 48 = 112 in^2
Therefore, we can conclude that the surface area of the pyramid is 112 square inches.
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The complete question is:
The perimeter of the base of a square pyramid is 32 inches. The height of the pyramid is 3 inches. What is the surface area of the pyramid?
Responses
a. 112 in°
b. 96 in²
c. 144 in²
d. 72 in²
Find the measure of the smallest angle
Answer:
44°
Step-by-step explanation:
We Know
The sum of three angles in a triangle must add up to 180°.
Let's solve
3x + 15 + 4x - 12 + 79 = 180°
7x + 82 = 180°
7x = 98°
x = 14
Now we put 14 in for the x and find the other 2 missing angles.
3x + 15
3(14) + 15
42 + 15
57°
4x - 12
4(14) - 12
56 - 12
44°
So, the measure of the three angles are: 44°, 57°, and 79°. So, the measure of the smallest angle is 44°
Susan rolled a die 744 times. Which of the following would be a good estimate of the number of times she rolled the number 3 on the die?
a data analyst wants to create a visualization that demonstrates how often data values fall into certain ranges. what type of data visualization should they use?1 pointhistogramline graphcorrelation chartscatterplot
A data analyst who wants to create a visualization that demonstrates how often data values fall into certain ranges should use option A: histogram.
The distribution of a continuous variable is depicted by a histogram, a form of bar graph, by splitting the data into intervals, or bins, and charting the number of observations that fall within each bin. The range of values being measured are shown on the x-axis as intervals or bins, and the frequency or count of observations inside each bin is shown on the y-axis.
When presenting a distribution's shape, such as whether it is symmetrical or skewed, and when locating outliers or data gaps, histograms are especially helpful. They are frequently used to analyze and show data in disciplines including statistics, data science, and quality control.
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Correct question:
a data analyst wants to create a visualization that demonstrates how often data values fall into certain ranges. what type of data visualization should they use?
histogram
line graph
correlation charts
catter plot
Please answer soon! Also can you tell me how to hove brainliest? I want to reward the people that answer my question
Answer:
C
Step-by-step explanation:
How we got this answer was by looking at the problem and looking for similar LOOKING answers and after that we are left with c and d then we have to look and see how far the sign goes and we see C is the same or equivalent to the problem
PLS GIVE BRAINLIST MEAN THE WORLD all you have do is when two people answer if app it should be by rating if web should be on top of the question
HAVE A NICE DAY!
Construct a box-and-whisker plot for the following data:
7, 8, 15, 19, 22, 24, 31, 35, 49, 49
Hint: Remember the five-number summary.
Minimum, Q1, Median, Q3, Maximum
Median = 23
Q1 = 11.5
Q3 = 42
Minimum = 7
Maximum = 49
We have,
To construct a box-and-whisker plot for the given data, we first need to find the five-number summary, which consists of the minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum values.
Arrange the data in order from smallest to largest:
7, 8, 15, 19, 22, 24, 31, 35, 49, 49
Find the median, which is the middle value of the data:
Median = (22 + 24) / 2 = 23
Find Q1, which is the median of the lower half of the data:
Q1 = (8 + 15) / 2 = 11.5
Find Q3, which is the median of the upper half of the data:
Q3 = (35 + 49) / 2 = 42
Find the minimum and maximum values:
Minimum = 7
Maximum = 49
Thus,
Median = 23
Q1 = 11.5
Q3 = 42
Minimum = 7
Maximum = 49
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Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters.Is the relationship between the radius of a circle and the distance around the circle the same for all circles?
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
Using this formula, we can find the circumferences of Circle A and Circle B:
Circumference of Circle A = 2π(21) = 42π meters
Circumference of Circle B = 2π(28) = 56π meters
To answer the second part of the question, yes, the relationship between the radius of a circle and the distance around the circle (circumference) is the same for all circles. The formula for the circumference of a circle, C = 2πr, shows that the circumference is directly proportional to the radius. This means that if we double the radius, we will also double the circumference, and if we triple the radius, we will also triple the circumference, and so on. This relationship holds true for all circles, regardless of their size or location.
On a certain hot summer's day, 574 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1180.00. How many children and how many adults swam at the public pool that day?
Answer:
Let c be the number of children and a be the number of adults.
1.75c + 2.25a = 1,180->1.75c + 2.25a = 1,180
c + a = 574->1.75c + 1.75a = 1,004.5
-------------------------------
.5a = 175.5
a = 351, so c = 223
So there were 351 adults and 223 children that day.
Triangle A’B’C’ is a dilation of triangle ABC. What is the scale factor of the dilation?
The scale factor used in the dilation is 1/2
Determining the scale factor used.From the question, we have the following parameters that can be used in our computation:
ABC with vertices at A(-2, 6)A'B'C' with vertices at A'(-1, 3)The scale factor is calculated as
Scale factor = A'/A
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (-1, 3)'/(-2, 6)
Evaluate
Scale factor = 1/2
Hence, the scale factor is 1/2
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I need help with geometry, finding the measures for angles, it tells me one angle is 63, another is (2x+8), and another is (x+7)
Answer:
63, 41, and 76
Step-by-step explanation:
A triangle is equal to 180 degrees. So, its angles must be equal to 180 degrees. So, we set 63+2x+8+x+7 equal to 180. Combining like terms, we get 78+3x=180. We want to isolate x, so, we subtract 78 from both sides to get 3x=102. Then we divide by 3 on both sides, x=34. Now, that we have x, we plug it into (2x+8) and (x+7). 2(34)+8= 76 and (34+7)= 41.
Which is the value of x?
The calculated value of x in the circle is 18 degrees
Which is the value of x?From the question, we have the following parameters that can be used in our computation:
The circle
The angle at a semicircle is 90 degrees
using the above as a guide, we have the following:
5x = 90
Divide by 5
So, we have
x = 18
Hence, the solution for x is 18 degrees
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Bank of America's Consumer Spending Survey collected data on annualcredit card charges in seven different categories of expenditures:transportation, groceries, dining out, household expenses, homefurnishings, apparel, and entertainment (U.S. AirwaysAttache, December 2003). Using data from a sample of 42 creditcard accounts, assume that each account was used to identify theannual credit card charges for groceries (population 1) and theannual credit card charges for dining out (population 2). Using thedifference data, the sample mean difference was = $850, and the sample standard deviationwas sd = $1,123.
a. Formulate the null abd alternative hypothesis to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.
b. Use a .05 level of significance. Can you can conclude that the population mean differ? what is the p-value?
At the 0.05 level of significance, we can conclude that there is a significant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. The exact p-value is not provided, but since the t-statistic falls in the rejection region, we can infer that the p-value is less than 0.05.
a. The null hypothesis (H0) is that there is no significant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. The alternative hypothesis (Ha) is that there is a significant difference between the two population means.
b. To test the null and alternative hypotheses, we need to use a two-tailed t-test since we do not have any prior knowledge about the direction of the difference. We will use a level of significance of .05.
Using the formula for the t-test, we get:
t = (x1 - x2) / [s / sqrt(n)]
where:
x1 = sample mean for groceries
x2 = sample mean for dining out
s = sample standard deviation
n = sample size
Plugging in the values, we get:
t = (0 - 850) / [1,123 / sqrt(42)] = -4.72
The degrees of freedom (df) for this test is (n1 + n2 - 2) = 40.
Using a t-distribution table with df = 40 and a level of significance of .05, we find the critical values to be ±2.021. Since our calculated t-value (-4.72) is outside the critical values, we reject the null hypothesis.
The p-value for this test is the probability of getting a t-value as extreme or more extreme than our calculated t-value (-4.72) under the null hypothesis. Using a t-distribution table with df = 40, we find the p-value to be less than .0001. Therefore, we can conclude that there is a significant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.
a. The null and alternative hypotheses can be formulated as follows:
Null hypothesis (H 0): μ1 - μ2 = 0 (There is no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out)
Alternative hypothesis (H 1): μ1 - μ2 ≠ 0 (There is a difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out)
b. Given the information provided, we have:
Sample mean difference (d) = $850
Sample standard deviation (sd) = $1,123
Sample size (n) = 42
Level of significance (α) = 0.05
To test the hypothesis, we need to calculate the t-statistic:
t = (d - 0) / (sd / √n) = (850 - 0) / (1123 / √42) ≈ 5.46
Using a two-tailed t-test with a level of significance of 0.05 and 41 degrees of freedom (n-1), the critical values are approximately -2.02 and +2.02.
Since the calculated t-statistic (5.46) is greater than the critical value (+2.02), we reject the null hypothesis.
Conclusion: At the 0.05 level of significance, we can conclude that there is a significant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. The exact p-value is not provided, but since the t-statistic falls in the rejection region, we can infer that the p-value is less than 0.05.
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Which expression is equivalent to -3(2x - 8) + 4x?
A
B
C
D
-2x-8
-2x + 24
-10x8
-10x + 24
Answer:
-2x+24
Step-by-step explanation:
given,
= -3(2x-8)+4x
= -6x+24+4x
= 2x+24
therefore 2x+24 is the required equation.
hope it helps!
x>
–
4
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.
The graph of the inequality expression x > -4 is added as an attachment
How to graph the inequality expressionFrom the question, we have the following parameters that can be used in our computation:
x>
–
4
Express the inequality properly
So, we have
x > -4
Next, we plot the graph using a graphing tool
The graph is added as an attacment
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The diameter of a circular cookie cake is 14 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.
615.44 square inches
307.72 square inches
153.86 square inches
76.93 square inches
Answer:
Step-by-step explanation:
The area of a circle is given by the formula:
area = π x (radius)²
where the radius is half of the diameter. In this case, the radius of the cookie cake is:
radius = 14 / 2 = 7 inches
Using π = 3.14, the area of the entire cookie cake is:
area = 3.14 x 7² = 3.14 x 49 ≈ 153.86 square inches
To find half of the cookie cake, we need to divide this area by 2:
half area = 153.86 / 2 = 76.93 square inches
Rounding the answer to the nearest whole number, we get:
half area ≈ 77 square inches
Therefore, the answer is approximately 77 square inches. The closest option is D) 76.93 square inches.
Question 2 (1 point) (08.01 MC) Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the solution to the system of equations and explains why? (1 point) a (2, 8), because both lines pass through this point b (2, 8), because the point does not lie on any axis c (4, 14), because one of the lines passes through this point d (4, 14), because the point lies between the two axes
Answer:
423
Step-by-step explanation:
easy i did it
Do larger sample sizes increase the certainty of the statistical test? why or why not?
Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results.
larger sample sizes generally increase the certainty of the statistical test. This is because larger samples provide more information and reduce the likelihood of chance variations affecting the results. The estimated parameter becomes more stable and accurate with a larger sample size. Additionally, larger sample sizes allow for the detection of smaller effect sizes and greater statistical power. However, it is important to note that sample size alone does not guarantee the validity of the statistical test. Other factors such as sampling methods, data quality, and appropriate statistical analysis must also be considered.
Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results. Additionally, larger sample sizes decrease the margin of error and increase the statistical test's power, allowing for better detection of true differences or relationships in the population. Overall, larger sample sizes lead to more reliable and valid conclusions in statistical tests.
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Write the ratio as a fraction in simplest form.
213 feet : 412 feet
Answer:213/412
Step-by-step explanation:
To get a ratio to fraction, make first number numerator and second number as denominator.
213/412 has no LCM, which means it cannot be simplified
Two milk containers contains 398 l and 436 l of milk. The milk is to be
transferred to another container with the help of a drum. While
transferring to another container 7l and 11l of milk is left in both the
containers respectively. What will be the maximum capacity of the drum
Answer:
Two milk containers = 398 +436= 834L
Left in both containers= 18L
Step-by-step explanation:
so maximum capacity of drum= 834-18=816L
Find the area of the shaded polygon. ASAP PLease
Answer: 10.24
Step-by-step explanation:
Broke up top into trapezoid, then another trapezoid and 3 triangles
A1 = 2.75
A2=3.5
A3=1
a4=2
a5=1
what is the anwser to this
The graph of the piecewise function in this problem is given by the image presented at the end of the answer.
How to graph the piecewise function?A piecewise function is a function that has different definitions, based on the input of the function.
The intervals of the piecewise function for this problem are given as follows:
x < 2 -> left of x = 2.x > 5 -> right of x = 5.For the first interval, the function is a constant horizontal line at y = -3.
For the second interval, we have a linear function with a slope of 1, hence two points are given as follows:
(5, -2), as when x = 5, y = 5 - 7 = -2.(7, 0), as when x = 7, y = 7 - 7 = 0.More can be learned about piecewise functions at https://brainly.com/question/19358926
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The arithmetic mean of the monthly salaries of two people is $4360. One person earns $3479 per month. What is the monthly salary of the other person?
If arithmetic mean of the monthly salaries of two people is $4360. One person earns $3479 per month then the monthly salary of the other person is $5241
The arithmetic mean of the monthly salaries of two people is $4360
One person earns $3479 per month
We have to find the monthly salary of the other person
Arithmetic mean = a+b/2
4360 = 3479+b/2
4360×2 = 3479+b
8720 = 3479+b
Subtract 3479 from both sides
8720-3479 =b
$5241 =b
Hence, $5241 is the monthly salary of the other person.
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The tables represent the points earned in each game for a season by two football teams.
Eagles
3 24 14
27 10 13
10 21 24
17 27 7
40 37 55
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14
Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Eagles; they have a larger median value of 21 points
Falcons; they have a larger median value of 24 points
Eagles; they have a larger mean value of about 22 points
Falcons; they have a larger mean value of about 20.9 points
The team that has best overall record for the season is the falcons because they have a larger mean value of 20.9 points
What is mean value?The mean is the sum of all values divided by the total number of values. Therefore mean can be expressed as;
mean = sum of item /number of item
The mean value of Eagles = (3+24+14+27+10+13+10+21+24+17+27+7+40+37+55)/15
= 310/15 = 20.67
The mean value of falcons = (24+24+10+7+30+28+21+6+17+16+35+30+28+24+14)/15
= 314/15 = 20.93
Therefore since the mean value of falcons is higher than eagles, falcons has the best overall performance.
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Spring break homework due tonight!! Please help!!
The names of the angles, vertices and sides are listed below
Naming the vertex and the sides of the anglesThe vertex is the point where two sides meet; and at this vertex, an angle is formed
Using the above definition as a guide, we have
Vertex: D; Sides: CD and DEVertex: R; Sides: QR and RSVertex: P; Sides: OP and PQVertex: J; Sides: MJ and JKNaming the angles in four waysThe names of the angles in four ways are
∠EFG, ∠GFE, ∠F and ∠S∠RST, ∠TSR, ∠S and ∠J∠GHJ , ∠JHG, ∠H and ∠S∠MNO, ∠ONM, ∠N and ∠SNaming the angles with the vertex VUsing the definition of vertex above, the names of the angles are
∠KVL and ∠JVK∠CVD, ∠DVE, and ∠EVF∠QVR and ∠RVS∠OVP, ∠PVQ and ∠QVRRead more about angles at
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HELP ITS THE BIGGEST GRADE IF THE YEAR In a science experiment, a scientist records the wavelengths of six waves. The wavelengths, in nanometers, are listed below.
0.0001
5/100
10^-3
1.0001
1/1,000
2x10^-2
Part A: Which two wavelengths are equal?
Part B: Which wavelength is the shortest?
To find the speed of a wave, the scientist uses the formula shown below.
speed = (wavelength) • (frequency)
The wave with wavelength 10^-3 nanometer has a frequency of 10^x .The speed of the wave is 10^y .where y > 3.
C. Write an inequality in terms of x to represent all possible values of x.
The wavelength of a seventh wave is recorded. The wavelength is greater than 2x10^-2 nanometer and less than
5/100 nanometer.
D. Write a possible wavelength, in nanometers, for the seventh wavelength. Write the possible wavelength as a fraction with a denominator of 100.
Answer:
Sure, I can help you with that.
Part A:
The wavelengths 0.0001 and 10^-3 are equal. This is because 0.0001 = 10^-3.
Part B:
The shortest wavelength is 0.0001 nanometers. This is because it is the smallest number in the list.
Part C:
The speed of the wave is 10^y, where y > 3. This means that y must be greater than 3. Therefore, the inequality in terms of x to represent all possible values of x is x > -3.
Part D:
The wavelength of the seventh wave is greater than 2x10^-2 nanometers and less than 5/100 nanometers. This means that the wavelength is between 0.004 and 0.05. A possible wavelength for the seventh wave is 4/100, which is equal to 0.04 nanometers.
Here is a table summarizing the answers:
Step-by-step explanation: