Answer:
a. t = 2.25
b. h = 91
c. t = 4.635
Step-by-step explanation: I used my graphing calc
Which of the following is the solution to the following system of inequalities?
x+2y<4
3x-y >2
The solution will be the point of intersection of the two lines. The solution to the system is (1.1, 1.3)
Inequality graphsInequalities are expression not separated by an equal sign. Given the following inequalities
x+2y<4
3x-y >2
They are both written in standard form. The first line will be a dashed line and shaded below the graph while the second line will be a dashed line and shaded above.
The solution will be the point of intersection of the two lines as attached
Learn more on inequality graph here: https://brainly.com/question/11234618
#SPJ1
Answer:
Graph D is the correct one.
Step-by-step explanation:
Consider the wave packet: ψ(x)=[ 2πa 2
1
] 1/2
exp[− 4a 2
(x−⟨x⟩) 2
+i ℏ
px
]. Calculate the uncertainties ⟨Δx 2
⟩=⟨( x
^
−⟨x⟩) 2
⟩ and ⟨Δp 2
⟩=⟨( p
^
−⟨p⟩) 2
⟩, where ⟨ A
^
⟩ denotes the expectation value ⟨ψ∣ A
^
∣ψ⟩ of the observable A
^
on the state ∣ψ>.
The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.
The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.
To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.
Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
Learn more about Expressions
brainly.com/question/28170201
#SPJ11
13. Find the measure of ∢1.
The measure of ∢1 is 40 degrees.
What is the measure of angle?
The measure of an angle is a numerical value that represents the amount of rotation of one ray around a common endpoint, called the vertex, compared to another ray. The measure of an angle is usually measured in degrees (°).
The measure of an angle can be found by using the following formula:
Measure of ∢1 = 180 - (measure of ∢2 + measure of ∢3)
In this case, we are given the measures of ∢2 and ∢3:
∢2 = 102 degrees
∢3 = 38 degrees
So, we can substitute these values into the formula:
Measure of ∢1 = 180 - (102 + 38) = 180 - 140 = 40 degrees
Therefore, the measure of ∢1 is 40 degrees.
To learn more about measure of angle, Visit
https://brainly.com/question/25716982
#SPJ1
the people who are familiar with a problem and help verify the results of data analysis are called subject-matter experts. what are their roles in the process? select all that apply.
Roles in the process is provide understanding of the business issue.
Define data analysis.Data analysis is a corpus of techniques that aid in fact description, pattern detection, explanation development, and hypothesis testing. The mathematical sciences as a whole place great weight on mathematical analysis, which connects several branches of pure mathematics to practical fields. For instance, algebra and applied mathematics have substantial relationships. A snapshot of what students know, what they ought to know, and what can be done to suit their academic needs can be obtained through data analysis. Education professionals can make well-informed decisions that have a beneficial impact on student outcomes by conducting the proper data analysis and interpretation.
Given,
The people who are familiar with a problem and help verify the results of data analysis are called subject-matter experts.
Roles in the process are:
Provide understanding of the business issue.
Verify the decisions being made.
Find contradictions in the analysis.
To learn more about data analysis, visit:
https://brainly.com/question/15416001
#SPJ4
Proportional or non proportional help!!
the numerator of a certain fraction is 5 less than the denominator if the fraction is equal to 3/4 what is
The denominator of the fraction is 20.
Assume the fraction’s denominator is represented by “x”. The numerator is 5 less than the denominator, based on the information provided. This may be written as (x – 5). And we are told that the fraction is equal to 3/4. As a result, we may write the equation as
⇒(x – 5) / x = 3/4
To remove the fraction, cross-multiply the equation. Multiply the denominator of the left fraction by the numerator of the right fraction and vice versa:
⇒4(x – 5) = 3x
⇒4x – 20 = 3x
⇒4x – 3x = 20
⇒x = 20
Therefore, the denominator of the fraction is 20.
Learn more about Cross-multiply at:
brainly.com/question/28308012
The correct question is-
The numerator of a certain fraction is 5 less than the denominator if the fraction is equal to 3/4 what is the denominator of this fraction?
You put $10,000 in a mutual fund, with the current value being at $10,500. What is the
gain/loss, and the ROI?*
it's gain because 10,500 is bigger than 10,000
A baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of$458. How many apples pies did they sell and how many blueberry pies did they sell
The total number of apple pies is 22 and the total number of blueberry pies is 17.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of $458.
Asumme the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.
The linear equation that represents the total number of pies is:
x + y = 39
x = 39- y --- (1)
The linear equation that represents the total amount collected is:
10x + 14y = 458--- (2)
Substitute the value of 'x' in equation (2).
10(39- y) + 14y = 458
y = 17
Then Substitute the value of 'y' in the equation (1).
x = 39 - 17
x = 22
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ5
PLS HELP ASAP PLS I RLLY NEED HELP.
Answer:
THE ANWSER IS A
Step-by-step explanation:
YOU JUST DEVIDE THE REGULAR FRACTION AND PUT IT IN ORDER FROM THERE
Graph the function
f(x) = -log - 6. You must plot the
asymptote and any two points with whole number coordinates.
Answer:
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then ... graphing showing vertical asymptote at x = 1 ... Next, I'll find any x- or y- intercepts.
the following is a summary of a one-way between-subjects anova: f(2, 37) = 3.42, p < .05, η 2 = .12. how many pairwise comparisons need to be made for this anova result?
a.2
b.3
c.4
d.12
The pairwise comparisons that need to be made for this anova result will be b.3
How to calculate the valueIn order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:
N = (k * (k-1)) / 2
Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.
Plugging in the values:
N = (3 * (3-1)) / 2
N = (3 * 2) / 2
N = 6 / 2
N = 3
Learn more about ANOVA on
https://brainly.com/question/25800044
#SPJ4
A vet measured the mass of two birds. The mass of the robin was 76.58 grams. The mass of the blue jay was 81.05 grams.
Estimate the difference in the masses of the birds.
The estimated difference in masses of the two birds is grams.
Answer:
a) 4.47
b) 4.47 g
Step-by-step explanation:
The masses of the birds are given as;
The mass of the robin =76.58 grams.
The mass of the blue jay = 81.05 grams.
Difference in the masses of the birds is : 81.05 - 76.58 =4.47
Difference in masses of the two birds is grams is : 81.05g - 76.58g =4.47g
Please enter the missing number: 3, 5, 18, 72, ?
A. 144
B. 214
C. 272
D. 360
E. 432
Please explain precisely
Step-by-step explanation:
18 and 5 are both missing if that's what you mean
Answer:
D. 360
Step-by-step explanation: It's being multiplied by plus one more every time you move on to a new term.
So 2*3=6, 6*3=18, 18*4=72, 72*5=360
Determine the y-intercept of the equation -x + 2y = 10a. 1b.-10C. 5d. 2
Determine the y-intercept of the equation -x + 2y = 10
a. 1
b.-10
C. 5
d. 2
__________________________________________
y-intercept is (0, b)
y = mx +b
-x + 2y = 10
2y = x +10
y = 1/2 x + 5
______________
if x= 0
y= 1/2 *0 +5
y= 5
____________________
The y-intercept is (0, 5 )
The answer is c
solve the equation by using substitution method X + 2 Y equal to 8 equation first 2 x minus 2 equal to 10 equation second
Answer:
(6, 1)
Step-by-step explanation:
x + 2y = 8
1. subtract 2y to get x alone -- x = -2y + 8
2. insert (-2y + 8) as x
2x - 2 = 10
2(-2y + 8) -2 = 10
3. distribute the 2
-4y + 16 - 2 = 10
4. combine like terms
-4y + 14 = 10
5. subtract 14 from both sides
-4y = -4
6. divide by -4
y = 1
7. plug y into any of the two original equations
x + 2(1) = 8
8. simplify
x + 2 = 8
x = 6
9. check answer with second equation
2(6) - 2 = 10
12 - 2 = 10
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
Please help school is ending soon!
Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.
How many strings of 12ternary digits (0, 1, or 2) are there that contain exactly three 0s, five 1s, and four 2s?
There are 27720 strings.
Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 = 531,441 ternary strings of length 12.
There are
C(12,3) = 12! / (9! 3!) = 12 * 11 * 10/ 3 * 2 = 220 possible combinations of positions for the three 0s.
Of the 9 remaining positions, there are
C(9,4) = 9! / (5! 4!)
= 9 * 8 * 7 * 6/ (4 * 3 * 2 * 1)
= 126 possible combinations of positions for the four 2s.
The remaining 5 places are, of course, occupied by the five 1s.
So there that contain exactly three 0s, five 1s, and 4 2s are 220 * 126= 27720 such strings.
Learn more about strings here: https://brainly.com/question/27128699
#SPJ4
Kim put $8,000.00 in a savings account that offers 66 interest compounded annually Kim makes no additional deposits with Which amount is closest to the interest she will have earned at the end of 10 years?
Amount earned by Kim at the end of 10 years is 52800 $.
Amount invested by Kim, P = 8000 $
Interest compounded annually, r = 0.66
Time of investment, t = 10 years.
Therefore
Amount earned by Kim finally, I = Prt
I = 8000 x 0.66 x 10
I = 52800 $
To learn more about interest, click:
https://brainly.com/question/14019511
#SPJ1
convert 4.9 litres to kilograms and grams
How to convert litres into grams?
Mrs. Rouse has three times as many gladiolus as Mrs. Leal together they have 128 gladiolus write the system of equations for this situation ?
A special type of bar graph in which data are grouped into intervals of equal width
first two letters hi
Answer:
histogram
Hope that helps.
The map shows the location of the mall, library, and school in the city; Brittany travels from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles to Britney travel than Alice? A. 8 miles B. 9 miles C. 10 miles D. 12 miles
Answer:A) 8 miles
Step-by-step explanation:
8 miles
If cos A= -4/5 and A is in the second quadrant, then cos 2A = ?
Answer:
i think its second pythagreom therom
Step-by-step explanation:
because
Which of the following have both 2 and -5 as solutions.a. x2 + 3× - 10 = 0b. x2- 3x -10=0c. x2 + 7× +10=0d. x2 -7x +10=0
the equation (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions. Therefore the correct option is a.
To determine which equation(s) have both 2 and -5 as solutions, substitute these values into each equation and see if they satisfy the equation. Let's check each option:
a. \(x^2 + 3x - 10 = 0\)
Substituting x = 2:
\((2)^2 + 3(2) - 10 = 4 + 6 - 10 = 0\)
Substituting x = -5:
\((-5)^2 + 3(-5) - 10 = 25 - 15 - 10 = 0\)
Both 2 and -5 satisfy the equation, so option a has both 2 and -5 as solutions.
b. \(x^2 - 3x - 10 = 0\)
Substituting x = 2:
\((2)^2 - 3(2) - 10 = 4 - 6 - 10 = -12\)
Substituting x = -5:
\((-5)^2 - 3(-5) - 10 = 25 + 15 - 10 = 30\)
Neither 2 nor -5 satisfy the equation, so option b does not have both 2 and -5 as solutions.
c. \(x^2 + 7x + 10 = 0\)
Substituting x = 2:
\((2)^2 + 7(2) + 10 = 4 + 14 + 10 = 28\)
Substituting x = -5:
\((-5)^2 + 7(-5) + 10 = 25 - 35 + 10 = 0\)
Only -5 satisfies the equation, so option c does not have both 2 and -5 as solutions.
d. \(x^2 - 7x + 10 = 0\)
Substituting x = 2:
\((2)^2 - 7(2) + 10 = 4 - 14 + 10 = 0\)
Substituting x = -5:
\((-5)^2 - 7(-5) + 10 = 25 + 35 + 10 = 70\)
Only 2 satisfies the equation, so option d does not have both 2 and -5 as solutions.
In conclusion, the equation in option a (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions.
To learn more about equation
https://brainly.com/question/17482667
#SPJ11
How fast is the bicycle traveling if the rear wheel is rotating at a rate of 260 revolutions per minute
The bicycle is traveling at a speed of 13 m/s.
In one rotation of the wheel of the bicycle, the distance covered by the bicycle = the circumference of the wheel of the bicycle
Now, according to the question,
Number of rotations of the wheel of the bicycle in 1 minute = 260
∴ Number of rotations of the wheel in 1 second = 260 ÷ 60
= 13/3
∴ Distance traveled by bicycle due to the rotation of the wheel in 1 minute = 260 × circumference of the wheel of the bicycle
Or, distance traveled by bicycle in 1 second = 13/3 × circumference of the wheel of the bicycle.
= 13/3 × 3 m
= 13 m
Hence, the bicycle is traveling at a speed of 13 m/s.
For more questions on rotation and speed,
https://brainly.com/question/14703849
#SPJ1
The complete question is -
How fast is the bicycle traveling if the rear wheel is rotating at a rate of 260 revolutions per minute and the circumference of the wheel is 3 meters.
in a binomial experiment, the number of successes can never exceed the number of trials. true/false
Answer:
True
Step-by-step explanation:
An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.
Whats the answer to this ??
answer is 4
it is the cube root of 4
4×4×4 = 64
The answer of value is 4.
Use the equation k = x÷ y to find the constant of proportionality for the set of values
below. Then, complete the table with three more values. Graph the points on the
coordinate plane, draw a line through the points, and answer the question.
How does the graph show that the change of rate is constant
The constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
VariationFrom the question, we are to determine the constant of proportionality
The given equation is
k = x ÷ y
From the given information,
When x = 1, y = 3
∴ k = 1 ÷ 3
k = 1/3
Thus, the constant of proportionality is 1/3
Now, we will determine the values of y for the values x = 3, x = 4, and x = 5
Since
k = x ÷ y
Then,
y = x ÷ k
When x = 3
y = 3 ÷ 1/3
y = 3 × 3
y = 9
When x = 4
y = 4 ÷ 1/3
y = 4 × 3
y = 12
When x = 5
y = 5 ÷ 1/3
y = 5 × 3
y = 15
Hence, the constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
Learn more on Variation here: https://brainly.com/question/19641181
#SPJ1
6. Juliana's Beach Ball Company produces two sizes of beach balls. The small beach ball has a volume of905 in^3 and the giant size beach ball has a volume of 7,240 in^3 How many times longer is the diameterof the giant beach ball than the smaller beach ball?
The beach balls are spherical.
\(\begin{gathered} \text{volume of the small beach ball=905 inches}^3 \\ ^{}\text{volume of the large beach ball 7}240inches^3 \end{gathered}\)Therefore
\(\begin{gathered} \text{volume}=\frac{4}{3}\pi r^3 \\ r=\frac{d}{2} \\ \text{volume of the small ball=}\frac{4}{3}\pi r^3 \\ 905=\frac{4}{3}\pi(\frac{d}{2})^3 \\ 905=\frac{4}{3}\times\pi\times\frac{d^3}{8} \\ 905=\frac{4\pi^{}d^3}{24} \\ 21720=4\pi d^3 \\ d^3=\frac{21720}{4\pi} \\ d^3=\frac{5430}{\pi} \\ d^3=\sqrt[3]{\frac{5430}{\pi}} \end{gathered}\)The diameter of the giant beach ball can be found below
\(undefined\)