After 4 hours, the distance between Jasmine and Ron is increasing at a rate of 54 mi/h.
To find the rate at which the distance between Jasmine and Ron is increasing after four hours, we need to use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the distance between them and their respective speeds.
The distance between them after 4 hours is given by the square root of the sum of the squares of their respective distances traveled:
[tex]\sqrt{((42 * 4)^2 + (56 * 4)^2)}[/tex]
The rate at which this distance is increasing is equal to the magnitude of the velocity vector of their relative motion, which can be found using the hypotenuse formula:
[tex]\sqrt{(42^2 + 56^2)} = \sqrt{(2916) }= 54 mi/h[/tex]
So, after 4 hours, the distance between Jasmine and Ron is increasing at a rate of 54 mi/h.
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help (50) points
Sam had seven eighths of a pizza. He ate two-fourths of it for dinner. How much of the pizza did Sam eat for dinner?
nine-twelfths
fourteen thirty-seconds
sixteen twenty-eighths
twenty-eight sixteenths or one and twelve-sixteenths
Answer:
nine-twelfths
Step-by-step explanation:
what is the effect of increasing sample size on the cost of collecting data and the quality of the data collected?
The relationship between sample size and data quality is likewise straightforward; the quality of the data will increase as the sample size increases and vice versa.
It is typically impossible, or at least impractical, to collect data from all of the subjects you are interested in when conducting research on your clients, patients, or products. Instead, we take a sample (or subset) of the relevant population and try to learn as much as we can about the population from that sample.
Numerous factors can impact how well our sample represents the population, and hence, how valid and dependable our results will be. In this blog post, we discuss some of the important ideas that should be taken into account while conducting a survey, such as power, effect sizes, and confidence intervals and margins of error.
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8,502,000,000,000
In scientific notation??
Josh multiples the number 6 by another number and the product is more than 6. Which of these could be the number that Josh multiples 6 by?
Josh multiplies 6 with number 2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given,
Josh multiples the number 6 by another number and the product is more than 6.
Let the number be x
Equation becomes
6 × x = 6 + 6
6x = 12
x = 12/6
x = 2
Hence, 2 is the number that Josh multiplies 6 by.
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Convert the following quadratic to vertex form:
y = 2(x – 4) (x – 2)
Options:
A. y=2x2–12x+16
B. y=2(x–3)2−2
C. y=2(x–3)2−1
D. y=2(x2–6x+8)
Answer: It's B
Step-by-step explanation: I cheated but it's right ;-;
The area of a hexagon is equal to the sum of the areas of its 6 internal triangles.
Using the given measurements, what is the area, in square inches, of the regular hexagon shown above?
The area of the regular hexagon given in the figure is 360 inches²
What is the area of a triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.
Given here: A hexagon with six triangles inscribed in it with height 10 inches and base 12 inches.
We know all the triangles must be congruent as we know that all of the sides are of equal length. Therefore, all 6 of the triangles (we get from drawing lines to opposite vertexes) are congruent triangles.
Thus area of the hexagon= 6×area of a triangle
A= 6×1/2×10×12
=360 inches²
Hence, The area of the regular hexagon given in the figure is 360 inches²
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Add. 6/38/45+2/5/9 Enter your answer in the box as a mixed number in simplest form.
Step-by-step explanation:
the correct answer is= 103
note that the horizontal axis represents time elapased (in minutes) since passing mile marker 291 and the vertical axis represents the disance traveled (in miles) since passing mile marker 291 . how does the distance traveled and time elapsed compare for nicole and justin as they traveled from mile marker 291 to mile marker 298 ?
It is impossible to determine how the distance traveled and time elapsed compare for Nicole and Justin based on the information provided.
The graph only shows the horizontal axis representing time elapsed and the vertical axis representing the distance traveled, but does not provide any data points or information about Nicole and Justin's specific journeys.
The information given in the statement only provides the axes of a graph but does not provide any actual data points or information about Nicole and Justin's journeys. To compare the distance traveled and time elapsed between Nicole and Justin, we would need to know the specific data points or information about their journeys, such as the starting and ending mile markers, and the corresponding time elapsed and distance traveled for each person. Without this information, it is not possible to determine how the distance traveled and time elapsed compare for Nicole and Justin.
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pls help! i need helppp!
The given system of equations has no solution.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given system of linear equations are,
5x + y = -2
-5x - y = -1
We solve this by Elimination method.
Adding these two equations,
0 = -3
This means that the system has no solution.
Hence the given system of equations does not have a solution.
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Let sets A and B be defined as follows.
A is the set of integers greater than or equal to -9 and less than or equal to - 3
B=1-29, -26, -23, 30}
(a) Find the cardinalities of A and B.
n(A) =
n (B) =
The cardinalities:
n(A) = 3
n (B) = 1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
Let sets A and B be defined as follows.
A is the set of integers greater than or equal to -9 and less than or equal to - 3
A = {n ≥ -9 or n ≤ -3}
B = {1-29, -26, -23, 30}
B = {-28, -26, -23, 30}
The cardinalities:
n(A) = 3
n (B) = 1.
Therefore, n(A) = 3 and n (B) = 1.
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Sandra Beal opened a new credit card in January. She paid a membership fee of $15 and a balance transfer fee of 5% when she moved $823.46 from her old card to her new card. During the year, she paid these finance charges: February $3.56; May, $5.82; July, $4.92; and September $2.18. What was the total annual cost of the card to Sandra?
The total annual cost of the card to Sandra is $72.65
How to find the total annual cost of the card to Sandra?To find the total annual cost of the card to Sandra, we have to add all the money Sandra paid for the new credit card for the year. This can be calculated as follow:
Membership fee = $15
Balance transfer fee of 5% of $823.46 = 5/100 * $823.46 = $41.17
February $3.56; May, $5.82; July, $4.92; and September $2.18
Total annual cost = $15 + $41.17 + $3.56 + $5.82 + $4.92 + $2.18 = $72.65
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a full circle has 360° or 2π radians. given this, how many degrees are in 1 radian?
Answer:
1 radian ≈ 57.2958
Suppose a spherical astroid has a radius of approximately 8.5 x 10^2 m. Use the formula 4/3 π r^3 to find the approximate volume of the asteroid.
2.57 x 10^9 m^3
1.07 x 10^4 m^3
2.54 x 10^10 m^3
4.51 x 10^10 m^3
A spherical astroid has a radius of approximately 8.5 x 10^2 m. Using the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
a spherical astroid has a radius of approximately 8.5 x 10^2 m.
we know,
the volume = 4/3 π r^3
so, by calculating, we get.
volume = 2.57 x 10^9 m^3
Hence, a spherical astroid has a radius of approximately 8.5 x 10^2 m. Using the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.
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The value of d in millimeters is
what is 2/3-5/6x8 as an simplified fraction
Answer:
-5
Step-by-step explanation:
2/3-5/6x8
8/6 =4/3
2/3 - 5/3*4 =2/3 - 17/3 =-15/3 =-5
HELP ME PLEASE
Write the equation of the table in
slope-intercept for function form.
X= -10,-20,-30
Y= 10,20,30
Step-by-step explanation:
please refer to the attached for details
define a positive integer n to be a factorial tail if there is some positive integer m such that the base-ten representation of m ! ends with exactly n zeros. how many positive integers less than 1992 are not factorial tails?
The number of positive integers which are less than 1992 and not factorial tails are 396.
Positive integer are defined as the all the integers greater then zero.There are positive integers, zero, and negative integers.
Let for some positive integer with exactly n zeros be m
Number at the end of zeros of m! be f(m)
f(m) = ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) + ....
Here 'm' is multiple of 5
So ,f(m) = f( m + 1) = f( m + 2) = f( m + 3 ) = f( m + 4 )
And f(m) ≤ ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) +...
= m / 4.03
= m / 4
Value of m greater than 7964 such that f(m) = 1991
f( 7975 ) = 1991
Number of distinct positive integer 7975 / 5 = 1595 less than 1992
Number of positive integers less than 1992 and they are not factorial tails are equal to
= 1991 - 1595
= 396.
Therefore, there are 396 positive integers which are less than 1992 and are not factorial tails.
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I need help please :(
Answer:
A
Step-by-step explanation:
z = 1 - i
z³ = z² × z = (1 - i)²×z = (1 - 2i - 1)×(1 - i) =
= (-2i)×(1 - i) = -2i - 2
so, both parameters are -2. therefore, A is correct
b) in a distribution of scores, is it possible for more than half of the scores to have values that are below the mean? why or why not?
It is possible for more than half of the scores to have values below the mean, as the mean is given by the sum of all the values divided by the number of scores, hence a high outlier would cause a mean higher than more than half the scores.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
Suppose a data-set given as follows:
1, 1, 1, 1, 20.
The mean is given as follows:
Mean = (1 + 1 + 1 + 1 + 20)/5
Mean = 4.8.
Which is greater than 4 out of 5 scores, that is, greater than 80% of the data-set, meaning that 80% of the data-set has values below the mean, as the observation 20 is a high outliers.
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Which of the following is the equation that represents the graph?
. y equals negative three halves times x minus 3
y equals negative three halves times x minus 2
y equals negative two thirds times x minus 3
y equals negative two thirds times x minus 2
The equation of the line representing the graph is y = - (3/2)x - 3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given information the line passes through the points
(- 2, 0) and (0, - 3).
Slope(m) = (- 3 - 0)/(0 + 2).
Slope(m) = - 3/2.
Now, - 3 = - (3/2)(0) + b.
b = - 3.
y = - (3/2)x - 3.
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What do you put on the X axis of an ogive?
The X-axis (horizontal axis) often represents a "class boundaries" of such an ogive, whereas the Y-axis (vertical axis) typically shows the frequency count.
Explain about the ogive graph?A sort of frequency polygon that displays cumulative frequencies is an ogive, often known as a cumulative frequency polygon.
In other words, the graph adds the cumulative percents from left to right.On an ogive graph, "class boundaries" are shown along the x-axis while cumulative frequency is shown on the y-axis. Comparable to a histogram, an ogive features a single point that indicates in which the top right corner of the rectangular would be located in place of rectangles. This type of graph is typically simpler to make from such a frequency table.Thus, The X-axis (horizontal axis) often represents a class boundaries being measured of such an ogive.
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A family went on a cross-country road trip for their summer vacation. The following table shows the number of days and the total amount of miles their car had driven.
Number of Days 1 3 7 10 15
Miles Driven 380 984 1,986 2,251 3,623
Which of the following graphs is most appropriate to construct for the data given in the table to observe how the miles change over a certain number of days? Explain.
A scatter plot, because it would show how a variable changes over time between each individual data point
A scatter plot, because it would show the association, or relationship, between the two variables
A line graph, because it would show how a variable changes over time between each individual data point
A line graph, because it would show the association, or relationship, between the two variables
Answer:
Based on the information, the most appropriate graph to construct with the data given in the table to observe how miles change over a certain number of days would be a line graph because it would show how a variable changes over time between each individual data point. .
What is the appropriate graph for this data?
To select the appropriate graph for these data we must take into account the following aspects. The data being linked.
In accordance with the above, we want to relate data of days with distance. Therefore, the best option would be the line graph since it allows us to relate two data and in turn contrast the difference with other points.
So the correct answer would be a line graph because it would show how a variable changes over time between each individual data point (option A).
Step-by-step explanation:
-3[tex]\sqrt{-49}[/tex]
ude is a full-time student working in the library at sioux city college in sioux city, iowa. what is the minimum hourly wage that jude may receive?
The minimum hourly wage that Jude may receive per hour in Sioux City is $7.25. It depends on the applicable federal and state minimum wage laws in effect in Sioux City, Iowa.
As of my knowledge cut-off in 2021, the federal minimum wage is $7.25 per hour. However, some states, including Iowa, have set a higher minimum wage. As of 2021, the minimum wage in Iowa is $7.25 per hour.
It's worth noting that the minimum wage may have changed since my training data cut-off, so I would advise checking the current laws in your area to determine the exact minimum wage that Jude may receive. Therefore the average wage per hour in Sioux City is $7.25.
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The correct question for the answer is
Jude is a full-time student working in the library at Sioux city college in Sioux city, Iowa. what is the minimum hourly wage that Jude may receive?
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Factors to consider when selecting criteria for decision rules includeI. The decision maker's attitudeII. The nature of the situationI and II
Factors to consider when selecting criteria for decision rules include: III. (I) The decision maker's attitude and (II) The nature of the situation
Both the decision maker's attitude and the nature of the situation must be considered when selecting criteria for decision rules.
When selecting criteria for decision rules, it is important to consider both the decision maker's attitude and the nature of the situation. The decision maker's attitude includes their preferences, goals, and values. The nature of the situation includes the resources available to them, the timeframe, and the costs and benefits associated with the decision. Both of these factors must be taken into account in order to make an informed decision.
Here's the full task:
Factors to consider when selecting criteria for decision rules include:
Choose the right option:
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Triangle RST and triangle XYZ are shown.
Based on the diagrams, which information is true for triangle RST and triangle XYZ?
a. The measure of R is congruent to Y, and the measure of S is congruent to Z. If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles are also congruent. Therefore, RST and XYZ are not similar because the sides appear to be different lengths.
b. The measure of R is congruent to Y, and the measure of S is congruent to Z. If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles are also congruent. Therefore, RST and XYZ are similar.
c. RST and XYZ are similar because they have two pairs of congruent angles and the lengths of the sides are different.
d. RST and XYZ are not similar because although two pairs of angles are congruent, the third pair does not have to be congruent.
The information that is true for triangle RST and triangle XYZ is that:
The measure of R is congruent to Y, and the measure of S is congruent to Z. If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles are also congruent. Therefore, RST and XYZ are not similar because the sides appear to be different lengths. (option A)
What are similar triangles?Similar triangles are triangles that have the same shape and angle but their sizes may vary.
angle R is congruent to angle Y and
angle T is congruent to and Y.
This means that angle S is congruent to angle Z
therefore the angle in the two triangles are thesame, thus ,they are similar.
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Solve for m (type out your work and the answer)
M/8 =11
Answer: 44
Step-by-step explanation:
44/4 = 11
Answer:
88
Step-by-step explanation:
M/8 = 11
Cross multiply
M = 8×11
M = 88
write a congruence statement for the quadrilateral you created in figure AFEKJB and the image of the quadrilateral in figure MBJKGH
One of the congruence statement can be written as AFEB = MBJH.
What are Quadrilaterals?Quadrilaterals are four sided polygons which also have four vertices and four angles.
Sum of all the interior angles of a quadrilateral is 360 degrees.
Given is a figure.
First we have to draw a line segment to make two quadrilaterals out of this figure.
We can join line EB and JH to form the quadrilaterals AFEB and MBJH.
These two quadrilaterals are congruent to each other as
FA = BM
FE = BJ
EB = JH
AB = MH
Hence the congruence statement can be written as AFEB = MBJH.
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The complete question is :
Figure MBJKGH is the image of figure AFEKJB after being rotated 90 degrees counterclockwise about point K.
Imagine drawing a segment in figure AFEKJB to create a quadrilateral and also the image of the segment when rotated 90 degrees counterclockwise about point K.
Write a congruence statements for the quadrilateral you created in figure AFEKJB and the image of the quadrilateral in figure MBJKGH.
on a recent quiz, the class mean was 71 with a standard deviation of 4.2. calculate the z-score (to 4 decimal places) for a person who received score of 73.
The calculated value of z-score for the mean 71 and standard deviation 4.2 with person score 73 is equal to 0.4762( upto to four decimal place)
Mean of the data 'μ' = 71
Standard deviation of the data 'σ ' = 4.2
Score obtained by a person 'X' = 73
Formula for the z-score is equal to :
Z-score = ( X - μ ) / σ
Substitute the value of mean , standard deviation , and person score to get the value of z-score we have,
⇒ Z-score = ( 73 - 71 ) / 4.2
⇒ Z-score = ( 2 ) / 4.2
⇒ Z-score = 0.47619
⇒ Z-score = 0.4762
Therefore, the value of z-score as per the given mean and standard deviation is equal to 0.4762.
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A company makes two types of electronic devices: laptops and tablets. Its business
plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets,
per day. The total number of devices it must make per day according to the plan
ranges
from 150 to 220. Given that x is the number of laptops made per day, and y
is the number of tablets made, what are the daily constraints that the plan places on
the company? What is the maximum profit
The constraints for the company are -
70<x<130, 50<y<110 and 150<x + y<220
The objective function for maximizing profit is z = 65x + 45y.
What are business constraints?
Constraints can be business or technical in nature and are defined as restrictions or limitations on possible solutions.
Considering that x is the number of laptops and y is the number of tablets.
According to the information provided, there are between 70 and 130 laptops.
Additionally, there are between 50 and 110 tablets.
Specifically, 70<x<130 and 50<y<110.
Between 150 and 220 devices make up the total number of x + y.
This equals 150<x + y<220.
These are all limitations on daily production.
Since each laptop makes $65 in profit and each tablet makes $45.
As a result, the overall profit for laptops is $65x and for tablets it is $45y.
Consequently, the objective function z for calculating total profit is -
z = 65x + 45y
Maximize z = 65x + 45y to make the most profit.
Therefore, the constraints and maximum profit is obtained.
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A company makes two types of electronic devices: laptops and tablets. Its business plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. Given that x is the number of laptops made per day, and y is the number of tablets made, what are the daily constraints that the plan places on the company? The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit?