Answer:
x = -150
Step-by-step explanation:
x/15 = -10
Multiply both sides by 15.
Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
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on a circle of radius 4 and center (0, 0), find the x and y coordinates at angle 180 degrees (or π in radian measure).
On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.
At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function. Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).
Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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what makes 3+7+2= +2true?
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
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What is the equation of the line that passes through the points (4,7) and (-3,7)
Answer: y-7 =0
Step-by-step explanation: after applying m=y1-y2/x1-x2 you get 0/-7 which means that the slope is 0
R^2 shows which one of the following choices?
A. the proportion of the variation of the independent variable explained by the dependent variable
B. the proportion of the variation of the dependent variable explained by the independent variable
C. the proportion of the variation of the independent variable not explained by the dependent variable
D. the proportion of the variation of the dependent variable not explained by the independent variable
B. the proportion of the variation of the dependent variable explained by the independent variable. R^2, also known as the coefficient of determination, measures the goodness of fit of a regression model.
It represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. In other words, R^2 indicates how well the independent variable(s) account for the observed variation in the dependent variable. The correct answer, choice B, states that R^2 represents the proportion of the variation of the dependent variable explained by the independent variable.
It quantifies the strength of the relationship between the independent and dependent variables and provides an assessment of how well the regression model fits the observed data. A higher R^2 value indicates a better fit, as it indicates that a larger proportion of the variation in the dependent variable can be attributed to the independent variable(s).
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Write a simplified expression for the area of the rectangle.
Length: 9.6x+7
Width: 2.5
Answer:
\(a = l \times w \\a=(9.6x + 7) \times 2.5 \\ a = ( \frac{48}{5} x + 7) \times \frac{5}{2} \\ a = \frac{121}{10} x + \frac{35}{2} \\ a = 12.1x + 17.5 \: \: units ^{2} \)
Step-by-step explanation:
hopefully this makes sense
:)
a car is traveling at a 3 of 57 miles per hour. What is the car's speed in miles per minute? how many miles will the car travel in 20 minute? (do not round your answer)
The speed of car is found as : 1 of 1140 miles per minutes.
The total number of miles the car will travel in 20 minutes is: 1 / 50 miles.
Explain about the unit conversions?The same attribute is expressed using a unit conversion, but in a diverse unit of measurement.
For e.g., time can be highlighted in minutes rather than hours, and distance can be verbalized in kilometers, feet, or another comparable measurement unit instead of miles.
Speed of car = 3 of 57 miles per hour.
Speed of car = 3 mi / 57 hr
We know, 1 hour = 60 minutes;
So,
Speed of car = 3 mi / 57*60 min
Speed of car = 1 mi / 57*20 min
Speed of car = 1 mi / 1140 min
Thus, the speed of car is found as : 1 of 1140 miles per minutes.
In 20 minute:
Number of miles = 1 mi / 1140 min * 20 min
Number of miles = 20 / 1140 min
Number of miles = 1 / 50 miles
Thus, the total number of miles the car will travel in 20 minutes is: 1 / 50 miles.
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Find the missing number in the equation. 3+6+5= 20-(4+_)
The missing number is 2
To solve the equation 3+6+5=20-(4+_), we first consider the missing term as x, which means that we don't know what the value of the term is, so we use a variable to represent it.
We can then simplify the left-hand side of the equation by adding 3, 6, and 5, which gives us a sum of 14. We can then substitute this value into the equation, giving us:
14 = 20 - (4 + x)
We can then simplify the right-hand side of the equation by adding 4 and x, giving us:
14 = 20 - 4 - x
Simplifying further, we can subtract 20 from both sides of the equation, which gives,
-6 = -4 - x
To isolate x, we add 4 to both sides of the equation, which
-2 = -x
Finally, we multiply both sides of the equation by -1 to isolate x
2 = x
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Is the question ''how many cars were sold each day this month'' statistical or not?
Doug's teacher told him that the standardized score (z-score) for his mathematics
exam, as compared to the exam scores of other students in the course, is 1.20.
Which of the following is the best interpretation of this standardized score? (4
points)
1) Doug's test score is 120.
2)
Doug's test score is 1.20 times the average test score of students in the
course.
3) Doug's test score is 1.20 above the average test score of students in the
course.
O 4) Doug's test score is 1.20 standard deviations above the average test score of
students in the course.
5) None of the above gives the correct interpretation.
Answer:
Doug’s test score is 1.20 standard deviations above the average test score of the students in the course.
I just took the test and got it right :)
Step-by-step explanation:
help me please someone. I will give brainliest.
Answer:
D
Step-by-step explanation:
Because 20000 is the power of ten and i wrote it down on paper
Answer:
C .0001
Step-by-step explanation:
if u put the numbers .0001 into the calculator then u will get the number
1 x 10^-4.
jeremy has 18 marbles he loses 6 of them what fraction of the marbles dose he have left
Ok so we first have 18/18 when he doesn't loose any.
Lets take off 6 from the numerator which is.. 12/18
So.. your answer is 12/18 marbles left.
BUT!! if it were to be simplified... it would be. 2/3
ONLY USE 2/3 IF IT ASKS FOR SIMPLIFIED!!
Hope this helps. :)
if a storage facility charges $1 per cubic yard and the storage space is 32 ft. by 160 ft. by 10 ft. high, how much is the storage charge?
If a storage facility charges $1 per cubic yard and the storage space is 32 ft. The storage charge is $1999.97.
What is mathematical conversions?
Mathematical conversions refer to the process of changing one unit of measurement to another unit of measurement that is equivalent in value.
First, we need to convert the dimensions from feet to yards, since the rate is given per cubic yard.
32 feet = 10.6667 yards (dividing by 3)
160 feet = 53.3333 yards (dividing by 3)
10 feet = 3.3333 yards (dividing by 3)
Next, we can calculate the volume of the storage space in cubic yards by multiplying the three dimensions:
Volume = 10.6667 yards x 53.3333 yards x 3.3333 yards
Volume = 1999.97 cubic yards (rounded to two decimal places)
Finally, we can calculate the storage charge by multiplying the volume by the rate:
Charge = 1999.97 cubic yards x $1/cubic yard
Charge = $1999.97
Therefore, the storage charge is $1999.97.
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11.2 in.
13.3 in.-
3.1 in.
Answer:
It is trapezium.
Step-by-step explanation:
1÷2×h[b1+b2]
Write by what rule you know the triangles are congruent, or write CNBD for "Cannot be determined." Segments and angles are congruent only if marked congruent.
Answer:
Can not be determined
Step-by-step explanation:
A line passes through the point (–2, 7) and has a slope of –5.
A coordinate plane.
What is the value of a if the point (a, 2) is also on the line?
–7
–1
1
7
Based on the fact that the line passes through (-2, 7) and the slope, the value of a can be found to be -1
How to find the value of a?To find the value of a, you first need to find the y-intercept to complete the linear equation which takes the form:
y = slope (x) + y-intercept
7 = -5(-2) + y-intercept
7 = 10 + y-intercept
y-intercept = 7 - 10
y-intercept = -3
The line equation is:
y = -5x - 3
The line y = -5x - 3 is passing through the point (a,2) is:
2 = -5(a) - 3
3 + 2 = -5a
a = 5 / -5
a = -1
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Answer:
the answer is -1
Step-by-step explanation:
There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?
Answer:
46 total
Step-by-step explanation:
32 on large bus
30% on small bus
32 =70%
100%=32/70 x(100)=46
You may need to use the appropriate appendix table or technology to answer this question The life expectancy of a particular brand of tire is normally distributed with a mean of 50,000 miles and a standard deviation of 5,000 miles. What percentage of tires will have a life of 45,000 to 55,000 miles 15.87% 31.73% 68,27% 84.13%
The percentage of tires that will have a life of 45,000 to 55,000 miles is 68.27%. So the correct option is 68.27%.
To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.
First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation
For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1
For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1
Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.
The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.
Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.
Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826
Converting this to a percentage, we get:
0.6826 * 100 = 68.26%
So the correct answer is 68.27%.
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Can anyone help with my homework it would be greatly appreciated.
Does the table define y as a function of x?
In the given table to determine if the relation is a function we need to check if each input (x) maps to exactly one output (y).
In other words, if the x-values are not repeated then it is a function.
In the table there is not x-values repeated, so, the table define y as a function of x.
The answer is yes.
tree growth an evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. the growth rate during those 6 years is approximated by where is the time in years and is the height in centimeters. the seedlings are 12 centimeters tall when planted (a) find the height after years. (b) how tall are the shrubs when they are sold?
(a) The height after t years is given by: h(t) = 0.75t^2 + 5t + 12
(b) The shrubs are 54 centimeters tall when they are sold.
To solve this problem, we need to integrate the given differential equation dh/dt = 1.5t + 5 with respect to t to obtain an expression for h in terms of t. Then we can use this expression to answer the questions asked.
Integrating both sides of the equation with respect to t, we get
∫dh = ∫(1.5t + 5) dt
h = 0.75t^2 + 5t + C
where C is the constant of integration. To find C, we use the initial condition that the seedlings are 12 centimeters tall when planted, i.e., h(0) = 12. Substituting t = 0 and h = 12 in the above equation, we get
12 = 0.75(0)^2 + 5(0) + C
C = 12
Therefore, the expression for h in terms of t is
h = 0.75t^2 + 5t + 12
(a) To find the height after t years, we simply substitute the value of t in the above equation
h(t) = 0.75t^2 + 5t + 12
(b) The shrubs are sold after 6 years of growth and shaping. Therefore, we need to find h(6) to determine their height at the time of sale
h(6) = 0.75(6)^2 + 5(6) + 12
= 54 cm
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The given question is incomplete, the complete question is:
Tree growth an evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. the growth rate during those 6 years is approximated by dh/dt = 1.5t + 5 where t is the time in years and h is the height in centimeters. the seedlings are 12 centimeters tall when planted (a) find the height after years. (b) how tall are the shrubs when they are sold?
One of the video editors in your company is worried that he may lose a lot of data if his hard drive fails. He has asked you to come up with a solution. To do this, you have decided to implement a RAID 10 solution on his desktop workstation.Which of the following is the MINIMUM number of hard disks that can be used?a. 6b. 5c. 4d. 3e. 2
The minimum number of hard disks that can be used for implementing a RAID 10 solution is four (option c).
The minimum number of hard disks that can be used for implementing a RAID 10 solution on the video editor's desktop workstation is four (option c). RAID 10, also known as RAID 1+0, combines elements of RAID 1 (mirroring) and RAID 0 (striping) to provide both data redundancy and improved performance.
In RAID 10, data is mirrored across multiple drives to ensure redundancy. To implement RAID 10, we need at least two sets of mirrored drives, where each set contains a minimum of two hard disks.
The data is striped across these mirrored sets to enhance performance.
With four hard disks, you can create two mirrored sets, each consisting of two drives.
The data is then striped across these mirrored sets, providing both redundancy and improved read/write speeds.
If one drive fails in each mirrored set, the system can still function without data loss due to the mirroring.
This setup provides a balance between data protection and performance.
While more hard disks can be used in RAID 10 for larger capacities and better performance, the minimum requirement is four hard disks.
Using fewer drives would not allow for the necessary mirrored sets and striping required for RAID 10.
By implementing a RAID 10 solution with four hard disks on the video editor's workstation, you can help safeguard against data loss in case of drive failure, ensuring the integrity and availability of important video editing data.
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Jessie set up a lemonade stand for three days.
• On Saturday, she sold 10 2⁄3 gallons of lemonade.
• On Sunday, she sold 3 1⁄3 gallons more than she sold on Saturday.
• On Monday, she sold 2 2⁄3 gallons less than she sold on Sunday.
How many gallons of lemonade did Jessie sell on Monday?
Answer: 11 1/3 gallons of lemonade
The histogram to the right represents the weights (in pounds) of members of a certain high-school mathmath team. How many team members are included in the histogram?
Answer:
13 team members are included in the histogram.
Step-by-step explanation:
Consider the provided information.
The required histogram is shown in the figure.
We need to find the team members included in the histogram.
For this, we will add the frequency or the height of each bar.
2+1+1+5+1+3=13
Hence, 13 team members are included in the histogram.
What is the percent of increase from 37.5 to 73.2?
HELP ASAP! WILL MARK BRAINLIEST
Answer:
it will be the first the 5th the 2nd and the 3rd
Some spiders can spin a web at 3 cm per second. Convert this rate to meters per minute. (100 cm = 1 m)
Answer:
1.8m per minute
Step-by-step explanation:
Answer:
\(\frac{1.8 \ m}{1 \ min}\) ; (1.8 meters per minute)
Step-by-step explanation:
Use dimensional analysis to solve this problem.
The proper units of conversion are given in parentheses on this question: 100 cm = 1 m.
Start with the given value, 3 centimeters/1 second.
\(\frac{3 \ cm}{1\ sec}\)Convert this rate to meters/minute by multiplying 3 cm/1 sec by 1 m/100 cm.
\(\frac{3 \ cm}{1 \ sec} * \frac{1 \ m}{100 \ cm}\)The top and bottom units should cancel out, so that's how you know to put the cm units on the bottom to cancel out with the 3 cm on the top.
Multiply the fractions together. The "cm" units cancel out.
\(\frac{3\ m}{100 \ sec}\)Now you want to make the bottom units = minutes. There are 60 seconds in 1 minute, so you can use \(\frac{60 \ sec}{1 \ min}\) to multiply with \(\frac{3\ m}{100 \ sec}\).
\(\frac{3\ m}{100 \ sec} * \frac{60 \ sec}{1 \ min}\)The "seconds" unit cancels out, so you are left with meters on the top and minutes on the bottom. Multiply the fractions together.
\(\frac{180 \ m}{100 \ min}\)We want the rate to be meters per minute (1), so completely simplify this fraction and divide the fraction by (100/100), so the denominator is 1 min.
\(\frac{180 \ m}{100 \ min} \div \frac{100}{100}= \frac{1.8 \ m}{1 \ min}\)the sum of lisa's age and myra's age is 40. in to years, lisa will be 3 times as old as myra. how old is each person now?
The age of Lisa and Myra now is 35 years old and 5 years old, respectively.
To determine how old each person now, use algebraic expression and equation.
Let x = current age of Lisa
y = current age of Myra
If the sum of Lisa's age and Myra's age is 40, then we can express it as:
x + y = 40
x = 40 - y
If in 10 years, Lisa will be 3 times as old as Myra, then we can express it as:
x + 10 = 3(y + 10)
x + 10 = 3y + 30
x - 3y = 20
Substitute the equation for x into the 2nd equation and solve for y.
x - 3y = 20
(40 - y) - 3y = 20
40 - 4y = 20
4y = 20
y = 5
Substitute the value of y into the equation for x and solve.
x = 40 - y
x = 40 - 5
x = 35
Therefore, Lisa is 35 years old while Myra is 5 years old.
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need help ASP. find the inverse function of f(x)=3x-4
Answer:
f (x) = 1
substitute 1 for x
f (1) = 3 (1) - 4
= 3 - 4
= -1
Answer:
\(y = \frac{ x + 4}{3} \)
Step-by-step explanation:
Let f(x) =y
y= 3x-4
[interchanging variables]
x=3y-4
[making y the subject]
3y=x+4
Therefore the inverse of the function is
\(y = \frac{x + 4}{3} \)
he+interest+charged+on+a+$408000,+90-day+note+payable,+at+the+rate+of+8%,+would+be+(hint:+use+360+days+for+calculation)++$32640.+$2719.+$8160.+$18131.
The interest calculations yielded $8160 interest .
Given,
Principal amount = $408000
Rate of interest = 8%
Time = 90 days
So,
According to the formula of interest ,
Interest = Principal * Rate of interest * time
Interest charged on note = Note amount * interest rate * 90/360
Interest charged on note = 408000*8%*90/360= $8160
Thus total interest earned on a sum of $408000 is $8160 .
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