Rate 2 tells us that for every 1 unit of x, we have 2 units of y.
What is double number line?
A double number line is a diagram that shows a proportional relationship between two quantities by representing them as two parallel lines marked with tick marks at regular intervals. The tick marks on one line represent the values of the first quantity, while the tick marks on the other line represent the values of the second quantity.
To write rates for the ratios shown by the double number line, we need to identify two corresponding values on each line and express the ratio between them.
For example, consider the following double number line:
0 1 2 3 4
|-------|-------|-------|-------|-------|
0 10 20 30 40 50
|-------|-------|-------|-------|-------|
x y
We can write two rates for the ratio between x and y as:
Rate 1: x units per y units
Rate 2: y units per x units
For example, if x is 15 and y is 30, we can write:
Rate 1: 15/30 = 1/2
Rate 2: 30/15 = 2/1
These rates tell us how much of one quantity is associated with a given amount of the other quantity. For instance, Rate 1 tells us that for every 2 units of y, we have 1 unit of x. Similarly, Rate 2 tells us that for every 1 unit of x, we have 2 units of y.
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In the equation y = $7.20x + $790, "y" represents Select one: A. variable costs/unit. B. total fixed costs. C. total costs. D. none of the above
In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.
The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.
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lowkey urgent please help
Answer: hmmm can we see the answer choices because I think I. Ight know the answer
Step-by-step explanation:
A jetski races down the river at a constant speed for t seconds, covering m metres. How long, in
minutes, will it take for the jetski to cover n metres at the same speed?
It will take a time of n/60m minutes for the jetski to cover n metres at the same speed.
Define the term linear speed?The measurement of a moving object's actual distance travelled is called linear speed. Linear speed is the rate of motion of an object along a straight line.Thus, the angular speed times the r-dimensional distance equals the linear speed of such a point located on the object. The measuring unit is metres per second and metres per second. = the rate of change in radians per second.Speed = distance/ time
Speed = m/s
For the distance of n meters.
distance = speed * time
n = m/s*time
n = m /s* time
Time = n(m/sec)
Time = n/m * sec
Time = n/60m min
Thus, it will take n/60m minutes for the jetski to cover n metres at the same speed.
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Nicole wants to plant grass in her backyard. Her backyard is in the shape of a rectangle. Its length is 28 and its width is 25 feet. Suppose each pack of seed covers 14 square feet. How many packs of seed will she need to cover the backyard ?
Answer:
50 packs of seed
Step-by-step explanation:
The back yard is a rectangle
Length is 28 ft
Width is 25 ft
The area of a rectangle is equal to the length times the width
area = length * width
So plugging in our numbers
area = 28 ft * 25 ft
area = 700 sqft
sqft means square feet or ft^2
We know each pack of seeds will cover 14 sqft, so the question is, how many times does 14 go into 700?
number of packs = 700 sqft / 14 sqft per pack
number of packs = 50 packs
Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x - 6)^2 - 5 = 0
\(\boldsymbol{\sf{(x-6)^{2}-5=0 }}\)
Take the square root of both sides to eliminate the exponent on the left side.\(\boldsymbol{\sf{x-6=\pm\sqrt{5} }}\)
The complete solution is the result of the positive or negative portions of the solution.First, use the positive value of ± to find the first solution.\(\boldsymbol{\sf{x-6=\sqrt{5} }}\)
Add 6 to both sides of the equation.\(\boldsymbol{ \sf{x=\sqrt{5}+6 }}\)
Then use the negative value of ± to find the second solution.\(\boldsymbol{\sf{x-6=-\sqrt{5} }}\)
Add 6 to both sides of the equation.\(\boldsymbol{\sf{x=-\sqrt{5}+6 }}\)
The complete solution is the result of the positive or negative portions of the solution.\(\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}\)
\(\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}\)
SkandarPlease see screenshot.
Could someone help?
Answer:
56/100
Step-by-step explanation:
The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.
Pls Help! Will Mark Brainliest!!!
Step-by-step explanation:
it is a bit unclear to me how the cups are stacked on each other.
are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.
then each additional cup really adds only the height of the rim to the total height of the cup tower.
so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.
32,400 = 2.4x + 13.6
let's get rid of the decimals by multiplying everything by 10.
324,000 = 24x + 136
323,864 = 24x
x = 323,864/24 = 13,494.33333...
so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).
Are A and B parallel?
Answer:
Gradient of line A = 0.8
Gradient of line B = 0.75
Therefore the lines are not parallel
Step-by-step explanation:
1. Rearrange the equation of line A into the form Y=mX + C in order to find the gradient of line A which m in the equation represents the gradient.
2. Use the gradient formula, (y2-y1)/(x2-x1) to find the gradient of line B
Since the both have different gradient. It means that they are not parallel
The photo is shown below, please help!
Answer/Explanation:
The formula for a rectangular prism is Length x Width x Height
With this information we can multiply 6x8x2 and get 96 ft³.
This is the volume of the original prism.
Doubling the dimensions means multiplying each side by 2.
The new dimensions would be a.16 b.4 c.12
Use the formula to find volume. 12x16x4=768
The volume of the enlarged prism is 768 feet³
For bonus question, divide 768 by 96.
The scale factor is 8.
-7x=-91 i dont understand this question
Answer:
x=-13
Step-by-step explanation:
divide each term by -7 and simplify I think I hope that works let me know if it's not right
Find the product. Enter your answer in simplest form.
What is the BEST estimate of the expression 398 divided by 9. 9 times 1 5/6 plus (-22)
To estimate the expression 398 divided by 9, we can use compatible numbers. Compatible numbers are numbers that are close to the actual numbers, making estimation more manageable.The value of the expression 9 times 1 5/6 plus (-22) is -8.
We can look for a multiple of 9 that is close to 398. 9 × 40 = 360, which is less than 398, while 9 × 50 = 450, which is greater than 398. Therefore, we can estimate that 398 divided by 9 is somewhere between 40 and 50.We can find a more precise estimate by dividing 398 by 9 using long division:We can see that the quotient is 44 with a remainder of 2.
Therefore, the best estimate of the expression 398 divided by 9 is 44, with a possible range of 40 to 50, depending on how exact an estimate is needed. As for the expression 9 times 1 5/6 plus (-22), we can simplify it as follows:9 times 1 5/6 equals 16 because 9 times 1 is 9, and 9 times 5/6 is 5, so 9 times 1 5/6 equals 9 + 5 = 14. 9 times 1 5/6 plus (-22) equals 14 - 22 = -8. Therefore, the value of the expression 9 times 1 5/6 plus (-22) is -8.
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A machine can pump 15 litres of water in one minute.
How long does it take to pump 900 litres of water
Answer:
900 liters of water is pumped in 1 hour
Step-by-step explanation:
Time taken to pump 15 liters of water = 1 minute.
Time taken to pump 1 liters of water = 1/15 minute
\(\sf \text{Time taken to pump 900 liters of water=$\dfrac{1}{15}*900$}\)
= 60 minutes
= 1 hour
I will give you the crown (brainlist) and 5 stars! These are 2 DIFFERENT questions.
Answer:
number 1 the answer is B
Select all that apply.
Segments RS.
ST
QT
BR
RQ
CD
CS
The line segments perpendicular to RS will be RB , RQ , ST , SC.
What are perpendicular lines?Two lines are said to be perpendicular if they intersect each other at 90 degrees.
Given is is the segment RS.
The line segments perpendicular to RS will be -
RB , RQ , ST , SC
Therefore, the line segments perpendicular to RS will be RB , RQ , ST , SC.
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Find the other endpoint for the midsegment of the given trapezoid.
Applying the midpoint formula, the endpoints for the midsegment are (-0.5, 0.5) and (-5/2, -7/2).
What is a Midsegment of a Trapezoid?The midsegment of a trapezoid is the line segment that intersects the two legs of the trapezoid at their midpoints.
Hence, to find the endpoint for the midsegment of the other leg of the trapezoid, apply the midpoint formula, M[(x2 + x1)/2, (y2 + y1)/2].
Find the midpoint between A(-2, -5) and B(-3, -2):
A(-2, -5) = (x1, y1)
B(-3, -2) = (x2, y2)
Plug in the values
M[(-3 + (-2))/2, (-2 + (-5))/2]
M(-5/2, -7/2)
Therefore, using the midpoint formula, the endpoints for the midsegment are (-0.5, 0.5) and (-5/2, -7/2).
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Answer:
-2.5,-3.5
Step-by-step explanation:
is 1.25 the same as 25%?
Answer:
No
Step-by-step explanation:
1.25 as a percentage is 125%.
25% as a decimal is 0.25.
a survey of 300 college students shows the average number of minutes that people talk on their cell phones each month. round your answer to at least four decimal places. less than 600 600-799 800-999 1000 or more men 37 14 17 19 women 59 133 13 8 if a person is selected at random, find the probability that the person talked less than 600 minutes if it is known that the person was a man. the probability is approximately .
The probability is approximately 0.4253.
To find the probability that a person talked less than 600 minutes given that the person is a man, we need to use conditional probability.
The total number of men surveyed is 37 + 14 + 17 + 19 = 87.
The number of men who talked less than 600 minutes is 37.
Therefore, the probability that a randomly selected person talked less than 600 minutes given that the person is a man is:
P(Less than 600 | Man) = Number of men who talked less than 600 minutes / Total number of men surveyed
P(Less than 600 | Man) = 37 / 87
P(Less than 600 | Man) ≈ 0.4253
Rounding to four decimal places, the probability is approximately 0.4253.
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Marko can bike at an average speed of 534 minutes per mile. He bikes at this speed for 8614 minutes.
How many miles does Marko bike?
Answer:
Marko bikes approximately 16.13 miles.
A very slow rate.
Step-by-step explanation:
average speed = 534 minutes per mile
time taken = 8614
d = t/s
distance = 8614 / 534
= 16.13 miles
7x + 3y + 2x
Please help me out!!
(simplify please)
Answer:
Step-by-step explanation:
9x+3y
Answer:
9x+3y
Step-by-step explanation:
You combine like terms witch are the 7x and the 2x so you add them and you get 9x and then you add the 3y so now you have 9x+3yDescribe what happens to the concentration of sugar in the tank as more time increases without bound; by answering the following question. [Enter your answer as a single number in decimal form.] lim C(t) = t18 Describe what happens to the concentration of sugar in the tank as more time increases without bound; by answering the following question. [Enter your answer as a single number in decimal form.] lim C(t) =
As time increases without bound, the concentration of sugar in the tank increases infinitely.
The limit of C(t) as time t increases without bound is given as lim C(t) = t^18.
As t increases without bound, the concentration of sugar in the tank approaches infinity. This means that the concentration of sugar keeps increasing without any upper bound or limit. The value t^18 grows exponentially as t increases, indicating that the concentration of sugar in the tank becomes increasingly larger over time.
In summary, as time increases without bound, the concentration of sugar in the tank increases infinitely.
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Non self supporting ladders must be placed or positioned at an angle where the horizontal distance.
When using non-self supporting ladders, it is essential to ensure they are positioned at an appropriate angle to provide the necessary stability and safety for the user.
The angle at which the ladder is placed is critical because it determines the distance between the base of the ladder and the wall or surface it is resting against, In general, non-self supporting ladders must be positioned at an angle where the horizontal distance is no less than 1/4 of the ladder's working length.
For example, if you are using a 12-foot ladder, the base of the ladder should be positioned 3 feet away from the wall or surface it is leaning against. This ensures that the ladder is stable and will not slip or tip over during use.
The angle of the ladder is also important because it affects the amount of force and pressure exerted on the ladder and the surface it is resting against. If the ladder is placed at too steep of an angle, the weight of the user can cause the ladder to slide or fall backward. Conversely, if the ladder is placed at too shallow of an angle, the weight of the user can cause the ladder to slide or fall forward.
Therefore, it is crucial to position non-self supporting ladders at an appropriate angle to ensure the safety of the user. Always follow the manufacturer's guidelines and safety instructions when using ladders and avoid taking unnecessary risks. Remember to take your time and stay focused on the task at hand to avoid accidents and injuries.
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Find the volume of the pyramid.
7 yd
A. 280 yd'
OB. 204 yd'
OC. 226 yd¹
OD. 840 yd'
answer: D.840 yards
Step-by-step explanation:
as to find volume of any 3 d shape we multiply l×b×h to find the volume
7×10×12=840
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escribe una ecuación parábola del foco (0,4) y directriz y = -4
Answer:
This is an English server
Step-by-step explanation:
Evaluate the limit: \( \lim _{x \rightarrow 0^{+}}\left(x^{2} \cdot \ln x^{2}\right) \)
We can write the limit as follows:
\(lim_{x \rightarrow 0^{+}} \left( x^{2} \cdot \ln x^{2} \right) = lim_{x \rightarrow 0^{+}} \left( x^{2} \cdot 2 \ln x \right)\)
We can now use L'Hopital's Rule, which states that the limit of the quotient of two functions is equal to the limit of the quotient of their derivatives, as long as the derivatives exist and are not equal to zero at the limit point. In this case, the functions are x² and 2lnx, and their derivatives are 2x and x²
Applying L'Hopital's Rule, we get:
\(lim_{x \rightarrow 0^{+}} \left( x^{2} \cdot 2 \ln x \right) = lim_{x \rightarrow 0^{+}} \frac{2x}{2/x} = lim_{x \rightarrow 0^{+}} x^{2} = 0\)
Therefore, the limit of the expression is equal to 0.
Note that we could have also evaluated the limit directly, without using L'Hopital's Rule. To do this, we would have plugged in the value of x=0 into the expression, and gotten the answer of 0.
However, using L'Hopital's Rule is a more general method that can be used to evaluate limits of expressions that do not have a defined value at the limit point.
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samples of size 10 are selected from a manufacturing process. the mean of the sample ranges is 0.8. what is the estimate of the standard deviation of the population? (round your answer to 3 decimal places.)
The estimated standard deviation of the population is approximately 0.133 (rounded to 3 decimal places).
To estimate the standard deviation of the population, we will use the formula of the standard deviation using the sample means, also known as the standard error. The formula gives the standard error (SE):
SE = (s / √n)
Where:
s is the standard deviation of the sample means
n is the sample size
In this case, we know, the mean of the sample ranges is 0.8, but we don't have the exact sample data. As a result, we are unable to calculate the standard deviation (s).
However, we can an assumption that the sample ranges are normally distributed, which gives us the idea to use the relationship between the range and the standard deviation. For normally distributed data, the range is approximately equal to 6 times the standard deviation. Mathematically, we can express this as:
Range ≈ 6s
Given that the mean of the sample ranges is 0.8, we have the following:
0.8 ≈ 6s
Now, let's solve for s:
s ≈ 0.8 / 6 ≈ 0.133
So, the estimate of the population's standard deviation is approximately 0.133 (rounded to 3 decimal places).
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how do i factor this
3x-6
Answer:
divide the 3x by the 6
Step-by-step explanation:
hdududhr
Answer:
3(x-2)
Step-by-step explanation:
hope i helped <3 :P
What is the equation of a line in slope intercept form that is perpendicular to the line y=2x+7 and passes through the point (-2,4)
It is given that the line is perpendicular to the line y=2x+7.
Slope of given line=2.
Let the slope of required line be m.
Since the required line is perpendicular to the given line, so it follows:
\(m=-\frac{1}{2}\)Since the product of slopes of perpendicular lines is -1.
It is also given that the line passes through (-2,4) so by slope-point form, the equation is given by:
\(\begin{gathered} y-4=-\frac{1}{2}(x-(-2)) \\ 2y-8=-(x+2) \\ 2y-8=-x-2 \\ x+2y-6=0 \end{gathered}\)So the equation is x+2y-6=0.
Match the rule on the left with its correct description on the right
Answer:
a - neither
b - dilation
c - rigid Motion
d - neither
Step-by-step explanation:
Dilation is when all variables are multiplied by the same value.
Rigid Motion is when all variables are increased or decreased by the same value.
Question A has a variable multiplied to and the other increased and is, therefore, neither due to both actions only occurring once.
Question B is a dilation because both variables are multiplied by the same number.
Question C is a Rigid Motion because the same number increases both variables.
Question D is neither because only one variable is changed.
find area will mark brainlist
Answer:
I hope this helps you
Step-by-step explanation:
A = 1/2 h (a+b)
= 1/2 × 8 (15+21)
= 1/2 × 36 × 8
= 36×4
= 144
Answer:
29
Step-by-step explanation:
18+15=23 8+21=29