Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much
Answers
To make them even so we compare, divide 54 by 2
So,
: 27 feet in 2 seconds
: 38 feet in 2 seconds
Next, subtract
38 - 27 = 11
So, the red car was faster by 11 feet
Related Questions
Divide the polynomials.
Your answer should be a polynomial.
x²-16
/
x+4
Answers
Answer:
x - 4
Step-by-step explanation:
The quickest way to do this is to Factor and "cancel". (Cancelling is not a mathematical term--it really is dividing)
x^2 - 16 is the difference of two squares. Its super-beneficial to recognize a difference of two squares and its factored form:
(x - 4)(x + 4)
Now you have:
(x - 4 )(x + 4) / x+4
The x+4 term "cancels" and you end up with x-4 as your answer.
You could also do this division problem using long division or synthetic division. You will get the same answer.
Estimate the perimeter of the figure to the nearest whole number.
perimeter: about units
Answers
you would have to give us the shape to figure it out
The sum of two positive real numbers x and y is 12. Find an x and y among these such that the product xy² is maximal.
X=
y =
Answers
Step-by-step explanation:
Hope you have understood the sum
Write the other side of this equation so its true for no values of x
1/2(10x-6)-x=
Answers
The equivalent equation of the linear equation given is 4x - 3
Linear EquationA linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
The equation given is 1/2(10x - 6) - x. This can rewritten as
5x - 3 - x = 4x - 3
The equivalent equation is 4x - 3
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Please help !!!!!! 20 points
Answers
The value of x in the polygon will be 13.25 degrees.
The value of x is 10.
We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.
How to calculate the valueThe sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.
Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees
Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:
Measure of one angle = 3960/24 = 165 degrees
165 = 12x + 6
159 = 12x
x = 13.25
Therefore, the value of x is 13.25 degrees.
Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.
Therefore, we have:
731x+86° = 7380°
Solving for x, we get:
731x = 7294°
x = 10
Therefore, the value of x is 10.
The equation that can be used to find the value of x is:
(9x+48)° + (15x-24)° = (n-2)*180°
24x + 24 = (n-2)*180°
Dividing both sides by 24, we get:
x + 1 = (n-2)*15°
Subtracting 1 from both sides, we get:
x = (n-2)*15° - 1
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Calculate the sector area: 16 in 90°
Answers
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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Lorenzo and his sister, Mariana, are decorating gingerbread houses. They want to make grass, so they turn their icing green by mixing yellow and blue food coloring. Both of them use the same amount of yellow food coloring, but Mariana adds less blue food coloring than Lorenzo. Whose icing is a darker shade of green?
Answers
Answer:
lorenzo
Step-by-step explanation:
because he has added more blue shade which will make the icing darker , Mariana's icing will be lighter as she added less blue shade :)
Answer:
Lorenzo's icing.
Step-by-step explanation:
They both used the same amount of yellow icing, but if Mariana adds less blue food coloring, then Lorenzo's icing will be darker because he added more blue than Mariana.
What is the area of this figure?
Answers
Answer:
cover an area of 404 area
Step-by-step explanation:
23*8+11*20=404(area)
PLS PLS PLS PLS PLS PLS PLS PLS HELP ME write the ratios 25:4 and 45:10 as a complex fraction
Answers
Writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.
How to calculate the value?From the information, it should be noted that we want to write the ratios 25:4 and 45:10 as a complex fraction.
It should be noted that we simply have to convert the numbers to fractions. This will be:
25:4 = 25/4 = 6 1/4
45:10 = 45 / 10 = 4 5/10 = 4 1/2.
Therefore, writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.
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2. Factory in Seattle
Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and
materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar
power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at
the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of
course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the
cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units per
day.
() = {
0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − (
200,000) 20,000 < ≤ 42,000
Student Guide (continued)
a) Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the
axes and any endpoints where the graph breaks.
b) Describe the function over each part of its domain. State whether it is constant,
increasing, or decreasing, and state the slope over each part.
Answers
a) The graph of the cost function for the Seattle factory starts with a flat line segment, then increases with a positive slope, and finally decreases with a negative slope. b) The specific values for the slopes and endpoints depend on the exact calculations based on the given function, but this general description should provide an understanding of the cost structure over the specified domain.
a) To sketch a graph of the cost function for the Seattle factory, we'll use the given piecewise function and the specified domain [0, 42000].
First, we'll plot three points on the graph to represent the different parts of the function.
At 8000 units, the cost is 0.35.
At 20000 units, the cost is 0.75.
At 42000 units, the cost is 0.83 - (42000/200000).
Next, we'll connect the points with appropriate lines or curves based on the function's behavior over each part of the domain.
From 0 to 8000 units, the cost is constant at 0.35. This part of the graph will be a horizontal line segment at y = 0.35.
From 8000 to 20000 units, the cost increases. We'll draw an increasing line segment connecting the point (8000, 0.35) to the point (20000, 0.75). This represents a positive slope.
From 20000 to 42000 units, the cost decreases. We'll draw a decreasing line segment connecting the point (20000, 0.75) to the point (42000, 0.83 - (42000/200000)). This represents a negative slope.
b) Over each part of its domain, we can describe the function as follows:
From 0 to 8000 units, the cost is constant at 0.35. The function is constant with a slope of 0.
From 8000 to 20000 units, the cost increases. The function is increasing with a positive slope.
From 20000 to 42000 units, the cost decreases. The function is decreasing with a negative slope.
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The statement "tane = -1/2/2, e is in quadrant 3": CSC8 = 13, and the terminal point determined by theta is in quadrant 3
Answers
The correct answers are Options: B and C as both are applicable in this case.
How to determine the correct option?The terminal point determined by theta can not be in quadrant 3 since tan theta is greater than zero in this quadrant.
In addition, if tan theta =-12/5 then csc theta = ±13/12 since the terminal point determined by theta can be in quadrant 2 where sine theta and consequently csc theta would be positive or in quadrant 4 where csc theta would be negative.
In conclusion, we chose Options: B and C as correct answers as both are applicable in this case.
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Corrected Question
The statement "tan theta=-12/5 , csc theta = -13/5 , and the terminal point determined by theta is in quadrant 3":
A. cannot be true because tan theta must be less than 1.
B. cannot be true because tan theta is greater than zero in quadrant 3.
C. cannot be true because if tan theta = -12/5 , then csc theta = +/- 13/12
D. cannot be true because 12^2 + 5^2 ≠ 1
find a polynomial function with the leading coefficient one or negative 1 that has the given zeros multiplicity and degrees 01 multiplicity to 03 multiplicity to degree 4
Answers
The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).
Find a polynomial function ?The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).
It then crosses the -6 root to turn positive until it again crosses the -2 root.
(It crosses because the odd multiplicity of both roots)
The function remains negative from -2 until root 4, where it crosses into the positive, where it does not cross since there is an even multiplicity.
In light of the aforementioned, only the first option makes sense. because the leading coefficient is positive and the highest degree is odd (9) the function is negative for (-inf, -6).
Then it crosses the -6 root to become positive until it crosses again the root -2.
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Peter lives in an apartment and pays the following expenses each month: electric bill, $34.80; TV streaming service,
$27.99; and rent, $614.85. Estimate his total expenses for the month by first rounding each value to the nearest tens
place.
Answers
Answer:
680
Step-by-step explanation:
add al you can add all of them and then my total came to 67 7.64 rounded to the nearest should be around 680
The total expenses for the month including electric bills, TV streaming service and rent is $677,6.
What is summation?Summation is basically the result obtained by addition of all the numbers whose summation is to be obtained. The symbol used is ∑ for summation.
How to calculate total expenditure?The expenditures done by Peter who lives in an apartment are:
Electric bill=$34.80
TV streaming service=$27.99
Rent=$614,85
Total expenditure incurred by Peter on electric bill, TV streaming service and rent =34.80+27.99+614.85
=$677.64
After rounding off we will get $677.6.
Hence the total expenses done by Peter on electric bill, tv streaming service, rent is $677.6.
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d) How is copying a line segment similar to copying an angle?
Answers
Answer: Each of the 2 geometric figures only has one measurement, and that is what must remain the same when the figure is copied
Step-by-step explanation:
I have never seen this question before, but here is how I would answer it.
They are similar in that each of the 2 geometric figures only has one measurement, and that is what must remain the same when the figure is copied.
Specifically -
A line segment has only one measurement - its length - and that must be duplicated in the copy.
An angle has only one measurement - the span of the angle - and that must be duplicated in the copy. It doesn't matter which unit of measure (degrees or radians), nor does it matter whether you measure the angle the 'short way around' or the 'long way around', the answer remains the same - the one measurement must be duplicated to make a copy.
I hope this is the answer they are looking for.
Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?
Answers
Answer:
16.05
Step-by-step explanation:
first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer
A two-day environmental clean up started at 9AM on the first day. The number of workers fluctuated as shown in the following figure.
graph of number of workers vs. time; between t=0 hours and t=8 hours the graph behaves as a sine curve with centerline 30, amplitude 10 and period 16; between t=12 and t=20, the graph is constant at 20. Then, at t=20 the graph becomes a sine curve again, starting at its minimum and completing one period between t=20 and t=36. The graph is then constant at 20 until t=44, before increasing as a sine again until t=48.
Suppose that the workers were paid 15 dollars per hour for work during the time period 9 am to 5 pm and were paid 22.5 dollars per hour for work during the rest of the day. What would the total personnel costs of the clean up have been under these conditions?
total cost =
dollars
Answers
The total personnel costs of the cleanup would be $8,625.
How to determine?Between 9AM and 5PM, a total of 8 hours, the workers are present during the interval t=0 to t=8. During this interval, the number of workers is given by:
f(t) = 30 + 10sin((2π/16)t)
We can calculate the number of workers for each hour using this formula:
f(0) = 30 + 10sin(0) = 30
f(1) = 30 + 10sin(π/8) ≈ 38.66
f(2) = 30 + 10sin(π/4) = 40
f(3) = 30 + 10sin(3π/8) ≈ 38.66
f(4) = 30 + 10sin(π/2) = 40
f(5) = 30 + 10sin(5π/8) ≈ 38.66
f(6) = 30 + 10sin(3π/4) = 30
f(7) = 30 + 10sin(7π/8) ≈ 21.34
f(8) = 30 + 10sin(π) = 20
So, during the first 8 hours, the number of workers fluctuates between 20 and 40.
Between 5PM and 9AM the next day, a total of 16 hours, the workers are present during the intervals t=8 to t=12, t=20 to t=36, and t=44 to t=48. During these intervals, the number of workers is given by:
Between t=8 and t=12, the number of workers is decreasing from 40 to 20. We can approximate this by a linear function:
f(t) = 40 - 5t
Between t=20 and t=36, the number of workers is constant at 20.
Between t=44 and t=48, the number of workers is increasing from 20 to 40. We can use the same linear function as before, but with t shifted by 44:
f(t) = 40 - 5(t-44)
We can now calculate the total personnel costs by multiplying the number of workers at each time interval by the appropriate hourly rate:
From 9AM to 5PM (8 hours): 30 workers on average, at a rate of $15 per hour:
8 × 30 × 15 = $3,600
From 5PM to 9AM the next day (16 hours):
From t=8 to t=12 (4 hours): average of 30 workers, at a rate of $22.5 per hour:
4 × 30 × 22.5 = $2,700
From t=20 to t=36 (16 hours): constant 20 workers, at a rate of $22.5 per hour:
16 × 20 × 22.5 = $7,200
From t=44 to t=48 (4 hours): average of 30 workers, at a rate of $22.5 per hour:
4 × 30 × 22.5 = $2,700
The total cost is the sum of the costs for each time interval:
$3,600 + $2,700 + $7,200 + $2,700 = $16,200
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simplify -3(2g - 6) +4g
Answers
-3-2g+6+4g
3+2g
hope it helps
Answer:
-2g + 18
Step-by-step explanation:
-3(2g - 6) + 4g
First we use distributive property.
-3 × 2g = -6g
-3 × -6 = 18
now we have
-6g + 18 + 4g
Now we combine the like terms
-6g + 4g = -2g
Finally we have
-2g + 18
and they are not like terms so we leave them and the equation is solved.
a. 7 + 3 x 2 + 4 = 25
7+ 3x2+4 =25
Answers
Answer:
False
Step-by-step explanation:
The sides are not equal.
In a survey, 27.5% of those questioned chose swimming as their favorite form of exercise. If 11 people chose swimming, then how many people were surveyed?
Answers
Answer:
40 people
Step-by-step explanation:
\(.275p = 11\)
\(p = 40\)
A coach asked her athletes if they enjoy running. Fifty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.
The tree diagram shows athletes branching off into two categories, enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories, enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two subcategories, enjoys cycling and does not enjoy cycling.
What is the total percentage of the athletes who enjoy cycling?
9%
25.5%
55%
74.5%
Answers
Answer:
75%
Step-by-step explanation:
To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.
According to the information provided:
55% of the team does not like to run.
Of those who do not like to run, 70% enjoy cycling.
Of those who enjoy running, 80% also enjoy cycling.
To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.
Percentage of athletes who do not like to run and enjoy cycling:
= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)
= 55% * 70% = 38.5%
Percentage of athletes who enjoy running and enjoy cycling:
= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)
= (100% - 55%) * 80% = 45% * 80% = 36%
Total percentage of athletes who enjoy cycling:
= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling
= 38.5% + 36% = 74.5%
Therefore, the correct answer is:
74.5%
which of the following is an identity?
Answers
Answer:
B
Step-by-step explanation:
Tanx=sinx/cosx
Cotx=cosx/sinx
Calculate the arithmetic mean 24, 36, 52, 48, 64, 40.
Answers
Answer:
Mean: 44
Step-by-step explanation:
1. 24 + 36 + 52 + 48 + 64 + 40 = 264
2. 264 divided by 6 = 44
(I divided it by 6 because there are 6 numbers (data points).)
Rewrite the following equation in exponential form.
log525 = 2
The first 5 is really small
Answers
Answer:
5² = 25
Step-by-step explanation:
log5 25 = 2
log(b) (x) = (y)
make b^(y) = (x)
5² = 25
I hope this helps!
Irene y Alejandro tienen 73 libros irene tiene el doble que Alejandro mas 1 cuantos libros tiene cada uno?
Answers
Irene has 49 Books, and Alejandro has 24 books.
Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:
1. Irene has twice as many books as Alejandro plus 1:
x = 2y + 1
2. The total number of books between Irene and Alejandro is 73:
x + y = 73
We can now solve this system of equations to find the values of x and y.
Substituting the value of x from equation (1) into equation (2), we have:
(2y + 1) + y = 73
3y + 1 = 73
3y = 72
y = 24
Now, we can substitute the value of y into equation (1) to find x:
x = 2(24) + 1
x = 49
Therefore, Irene has 49 books, and Alejandro has 24 books.
To verify our solution, we can check if the sum of their books equals 73:
49 + 24 = 7
So, our solution is correct.
In conclusion, Irene has 49 books, and Alejandro has 24 books.
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20 POINTS NEED HELP ASAP
Answers
Answer: x=7
Step-by-step explanation:
13x+14=11x+28 ---> Corresponding Angles Postulate
2x=14 ---> Simplify
x=7 ---> Division Property of Equality
This is about scatter plots and association i just need number 1
Answers
The form of association that would be found in the variables would be:
Positive association No association Negative association How to find the association ?As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.
The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.
As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.
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The basic rate pay is K8.20. If the overtime is paid at time-and-a-quarter, what is the overtime rate of pay?
Answers
The overtime rate of pay is K10.25.
The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.
To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.
By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.
Therefore, the overtime rate of pay is K10.25.
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What is two 2/3÷1 1/6
Answers
Answer:
0.57142857142
Step-by-step explanation:
Answer:
The answer is 4/11 or 0.36
Step-by-step explanation:
06.07 equivalent expressions module six project 1 part2
Answers
Answer:
go to utube.com/RyStone and sub he has the answers
Step-by-step explanation:
Hes op
A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)
Answers
Answer:
The exponential model n(t) is \(n(t) = 46(1.1487)^t\)
Step-by-step explanation:
Exponential model of population growth:
An exponential model for population growth has the following model:
\(n(t) = n(0)(1+r)^t\)
In which n(0) is the initial value and r is the growth rate, as a decimal.
Observed to double every 5 hours.
This means that \(n(5) = 2n(0)\)
We use this to find 1 + r. So
\(n(t) = n(0)(1+r)^t\)
\(2n(0) = n(0)(1+r)^5\)
\((1+r)^5 = 2\)
\(\sqrt[5]{(1+r)^5} = \sqrt[5]{2}\)
\(1 + r = 2^{\frac{1}{5}}\)
\(1 + r = 1.1487\)
So
\(n(t) = n(0)(1+r)^t\)
\(n(t) = n(0)(1.1487)^t\)
Initially has 45 bacteria
This means that \(n(0) = 45\). So
\(n(t) = n(0)(1.1487)^t\)
\(n(t) = 46(1.1487)^t\)
The exponential model n(t) is \(n(t) = 46(1.1487)^t\)