Answer:
a) constant of proportionality is 3/5
b) 3.5cm per 1 minute
c) 21 cm water in trough after 6 min
d) 70 cm
Step-by-step explanation:
d) 21 / 6 = x / 20
7 / 3 = x / 20
2x = 140
x = 70
Please help explanation if possible
Answer:
y<x+5
Step-by-step explanation:
Inequalities are just like equations with equals signs.
Using that y intercept you use on the graph you can input it as b in the y=mx+b slope intercept equation.
On this line, the y-intercept is 5. If it were a regular equation with the slope of 1. m=1 and b=5 the answer would be y=x+5. The inequality doesn't do much when looking at the graph (besides the shading) so the inequality is y<x+5.
I can find the missing leg length
?
7
12.21
— — — — — — — — — —
We can find the length of the missing side of the right triangle using the Pythagorean Theorem.
As you can see in the attached image, we are looking for b or the longer side/leg of the right triangle. (See the attached image for the right triangle.)
Using the formula c² = a² + b².
we let c=12.21 and a=7
\( c {}^{2} = {a}^{2} + {b}^{2} \)\( {12.21}^{2} = {7}^{2} + {b}^{2} \)\( {149.0841} = {7}^{2} + {b}^{2} \)By transposition/adding the additive inverse of 49.
\( {b}^{2} = {149.0841} - 49\)The difference of 149.0841 - 49 is 100.084
\( {b}^{2} = {100.084}\)\( {b}= \sqrt{100.084 \: } \)\( b = 10.0042\)\( b \approx \underline{ \boxed{ \blue{ 10}}}\)Hence, the measures of the longer side/leg is 10 units.
— — — — — — — — — —
We can also find the longer leg of the right triangle using the formula
\( \underline{ \boxed{b = \sqrt{ c²-a² \: }}}\)\( \sf \: \bold{ Given: } \: c = 12.21 \: ; \: a=7 \: ; \: b= \: \red ?\)Substitute the given values of a and c to the given formula above, to get the unknown value (b).
\(b = \sqrt{ c²-a² \: }\)\(b = \sqrt{ 12.21²-7² \: }\)\(b = 10.0042\)\(b \approx \orange{ 10}\)_______________∞_______________
At maturity, the U.S. Rule, the interest calculated from the last partial payment
if the answers are 1. Subtracted from adjusted balance 2. Added to beginning balance 3. Subtracted from beginning balance 4. Added to adjusted balance 5. None of these. What would it be?
At maturity, using the U.S. rule, the interest calculated from the last partial payment is subtracted from beginning balance added to adjusted balance.
Here, we have,
The payment of money above the principal amount (the amount borrowed) at a predetermined rate to a lender or depositor by a borrower or deposit-taking financial institution is referred to as paying interest in the fields of finance and economics.
It is different from a fee that the borrower may pay to the lender or another entity.
It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.
To learn more about interest, visit:
brainly.com/question/26457073
#SPJ1
1. A ride in a cab costs $0.60 plus $0.14 per mile.
a. Write an equation for traveling x miles in the cab.
b. The cab charges $0.88 for a ride of how many miles?
c. How much does the cab charge for a trip of 8 miles?
The equation for traveling x miles in the cab can be written as:
Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.
a. The equation for traveling x miles in the cab can be written as:
Cost = $0.60 + $0.14 * x
b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:
$0.88 = $0.60 + $0.14 * x
Subtracting $0.60 from both sides, we get:
$0.88 - $0.60 = $0.14 * x
$0.28 = $0.14 * x
Dividing both sides by $0.14, we find:
x = $0.28 / $0.14
x = 2 miles
Therefore, the cab charges $0.88 for a ride of 2 miles.
c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:
Cost = $0.60 + $0.14 * 8
Cost = $0.60 + $1.12
Cost = $1.72
Therefore, the cab charges $1.72 for a trip of 8 miles.
For more such questions on charges , Visit:
https://brainly.com/question/30478263
#SPJ11
you can determine if the inverse of a polynomial function is a function by using the ____ line test on the inverse.
You can determine if the inverse of a polynomial function is a function by using the Horizontal Line Test on the inverse.
The Horizontal Line Test is a graphical method that can be used to determine whether a given function is one-to-one, meaning that for each output value, there is at most one input value that maps to it.
If the inverse of a polynomial function is a function, it must pass the Horizontal Line Test, meaning that no horizontal line intersects the graph of the inverse more than once.
In other words, if the inverse of a polynomial function passes the Horizontal Line Test, it is guaranteed to have an inverse, which will be a function itself. If the Horizontal Line Test fails, then the inverse is not a function and does not have an inverse.
To know more about Inverse function:
https://brainly.com/question/2541698
#SPJ4
To produce x units of a religious medal costs C(x) = 11x + 36. The revenue is R(x) = 23x. Both cost and revenue are in dollars. a. Find the break-even quantity. b. Find the profit from 470 units. c. Find the number of units that must be produced for a profit of $120. a. ___ units is the break-even quantity. (Type an integer) b. The profit for 470 units is $___ c. ___ units make a profit of $120. (Type an integer.)
The break-even quantity is 3 units. The profit for producing 470 units is $5624. 13 units must be produced for a profit of $120.here both cost and revenue are in dollars.
(a) To find the break-even quantity, we set the cost function C(x) equal to the revenue function R(x) and solve for x:
\(11x + 36 = 23x\)
\(36 = 12x\)
\(x = 3\)
Therefore, the break-even quantity is 3 units.
(b) The profit for producing 470 units can be calculated by subtracting the cost from the revenue:
\(Profit = Revenue - Cost\)
\(Profit = R(470) - C(470)\)
\(Profit = 23(470) - (11(470) + 36)\)
\(Profit = 10810 - 5186\)
\(Profit = $5624\)
The profit for producing 470 units is $5624.
(c) To find the number of units that must be produced for a profit of $120, we set the profit equation equal to $120 and solve for x:
\(Profit = Revenue - Cost\)
\($120 = R(x) - C(x)\)
\($120 = 23x - (11x + 36)\)
\($120 = 12x - 36\)
\(12x = 156\)
\(x = 13\)
Therefore, 13 units must be produced for a profit of $120.
Learn more about profit here:
https://brainly.com/question/12634106
#SPJ11
two angles are complementary and one exceeds the other by 24 degrees. Calculate the measure of the sum of the supplementary angle of the first and the supplementary angle of the second
Answer:
The supplementary angle of the first angle is 180 degrees minus the measure of the angle, which would be 156 degrees. The supplementary angle of the second angle is 180 degrees, so the sum of the two supplementary angles is 336 degrees.
the function is not one-to-one. delete part of the domain so that the function that remains is one-to-one. find the inverse function of the remaining function and give the domain of the inverse function.
According to the concept of inverse function, the domain of the function is explained below.
The term inverse function is defined as a function which is a square of a linear function.
Here we have know that we will restrict the domain of the function so that the function is one to one.
And then we will find the inverse and then we will find the domain of the inverse function.
Here we have given that the function is not one-to-one and then delete part of the domain so that the function that remains is one-to-one.
As we all know that a function is the set of inputs accepted by the function.
To know mire about function here.
https://brainly.com/question/28193995
#SPJ4
3
Antonio's Pizza Shop charges
$12 for a large cheese pizza
plus $0.50 for each topping added.
Write an equation Antonio can use
to be able to determine the total (y)
for any large pizza no matter the
number of toppings ordered (x).
Answer:
C = 12 + 1.5t
Step-by-step explanation:
Answer:
$12 + x = y
Step-by-step explanation:
x = number of topping
y = total cost of pizza
Hope this helps :)
Solve the system of equations using subtraction.
2x−4y=−4
2x+ y =11
Answer:
(4, 3 )
Step-by-step explanation:
2x - 4y = - 4 → (1)
2x + y = 11 → (2)
subtract (2) from (1) term by term to eliminate x
(2x - 2x) + (- 4y - y) = - 4 - 11
0 - 5y = - 15
- 5y = - 15 ( divide both sides by - 5 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (2)
2x + 3 = 11 ( subtract 3 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
solution is (4, 3 )
The population of Lake Ronkonkoma, NY, is approximately 2 times 10 Superscript 4 Baseline people. The population of New York City, NY, is approximately 8 times 10 Superscript 6 Baseline people. Question How many times as great is the approximate population of New York City as the approximate population of Lake Ronkonkoma? Enter the answer in the box.
Answer:
The population of Lake Ronkonkoma is approximately 2 × 10^4 people, and the population of New York City is approximately 8 × 10^6 people. To find out how many times as great the population of New York City is compared to Lake Ronkonkoma, we need to divide the population of New York City by the population of Lake Ronkonkoma:
Population of New York City / Population of Lake Ronkonkoma = (8 × 10^6) / (2 × 10^4)
Simplifying the expression by canceling out the common factor of 10^4, we get:
Population of New York City / Population of Lake Ronkonkoma = (8 × 10^2) / 2
Dividing 8 by 2, we get:
Population of New York City / Population of Lake Ronkonkoma = 4
Therefore, the population of New York City is 4 times as great as the population of Lake Ronkonkoma.
(Please could you kindly mark my answer as brainliest and a follow to my account would be really helpful.)
C 48 cm 14 cm What is the length of the hypotenuse? If necessary, round to the nearest tenth C = centimeters
Answer:
Using the Pythagorean theorem:
c^2 = a^2 + b^2
where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Plugging in the given values:
c^2 = 48^2 + 14^2
c^2 = 2304 + 196
c^2 = 2500
Taking the square root of both sides:
c = √2500
c ≈ 50
Therefore, the length of the hypotenuse is about 50 cm (rounded to the nearest tenth).
Desmond made a scale drawing of a shopping center. In real life, a bakery in the shopping center is 64 feet long. It is 176 inches long in the drawing. What scale did Desmond use for the drawing?
The scale that Desmond used in the drawing is 11 inches : 4 feet
How to determine the scale that Desmond used in the drawing?From the question, we have the following parameters that can be used in our computation:
Actual length of shopping center is 64 feet long
Scale length of shopping center is 176 inches long
using the above as a guide, we have the following:
Scale = Scale length : Actual length
substitute the known values in the above equation, so, we have the following representation
Scale = 176 inches : 64 feet
Simplify the ration
Scale = 11 inches : 4 feet
Hence, the scale that Desmond used in the drawing is 11 inches : 4 feet
Read more about scale drawing at
https://brainly.com/question/29229124
#SPJ1
chegg Suppose that you select a random sample of 200 totally random audits and that 90% of all the returns filed would result in no-change audits. What is the probability that the sample has
You can substitute the value of x into the formula to calculate the probability for any specific number of no-change audits.
To determine the probability that the sample has a specific number of no-change audits, we can use the binomial probability formula.
The binomial probability formula is given by:
\(P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)}\)
Where:
P(X = k) is the probability of having exactly k successes (in this case, no-change audits),
n is the sample size,
k is the number of successes,
p is the probability of success in a single trial (in this case, the probability of a no-change audit), and
C(n, k) is the binomial coefficient, also known as "n choose k," which represents the number of ways to choose k successes from n trials.
In this scenario, n = 200 (sample size) and p = 0.9 (probability of no-change audit). We want to calculate the probability of having a specific number of no-change audits. Let's say we want to find the probability of having x no-change audits.
\(P(X = x) = C(200, x) * 0.9^x * (1 - 0.9)^{(200 - x)}\)
Now, let's calculate the probability of having a specific number of no-change audits for different values of x. For example, if we want to find the probability of having exactly 180 no-change audits:
\(P(X = 180) = C(200, 180) * 0.9^{180} * (1 - 0.9)^{(200 - 180)}\)
To know more about probability visit:
brainly.com/question/31828911
#SPJ11
is 3/10 = 15/60 a equivalent ratios?
Answer: No.
Step-by-step explanation:
3 x 5 = 15,
but 10 x 5 = 50.
In order for the ratios to be equivalent, they would have to be written like this:
3/10 = 15/50
Therefore, it is not equivalent.
Hope this helps!
Why do we prefer Logistic Regression over Linear Regression for classification problems? O (1), (2) & (3) The predicted values are much more interpretable as they lie in the range of 0 to 1. The sigmoid curve fits the data better than a straight line. Linear regression minimizes the mean squared error whereas logistic regression uses maximum likelihood estimation to estimate parameters.
Logistic Regression is preferred over Linear Regression for classification problems for several reasons.
Firstly, the predicted values in Logistic Regression are much more interpretable as they lie in the range of 0 to 1, which represents the probability of a certain outcome occurring. In contrast, Linear Regression predicts continuous values which are difficult to interpret as probabilities.
Secondly, the sigmoid curve used in Logistic Regression fits the data better than a straight line used in Linear Regression. This is because the sigmoid curve captures the non-linear relationships between the input variables and the output variable, which is often the case in classification problems.
Lastly, Logistic Regression uses maximum likelihood estimation to estimate parameters, whereas Linear Regression minimizes the mean squared error. Maximum likelihood estimation is a more appropriate method for estimating parameters in classification problems as it takes into account the binary nature of the output variable. Linear Regression, on the other hand, does not consider this binary nature and may not produce accurate results in classification problems.
In summary, Logistic Regression is preferred over Linear Regression for classification problems because of its interpretable predicted values, better fit to non-linear relationships, and appropriate method of estimating parameters using maximum likelihood estimation.
We prefer Logistic Regression over Linear Regression for classification problems for the following reasons:
1) Predicted values in Logistic Regression are more interpretable as they lie in the range of 0 to 1, representing probabilities of class membership, while Linear Regression predicts continuous values which may not directly indicate class membership.
2) The sigmoid curve in Logistic Regression fits the data better for classification problems, as it represents a natural threshold between classes, while a straight line from Linear Regression may not provide clear separation between classes.
3) Logistic Regression uses maximum likelihood estimation to estimate parameters, which makes it more suitable for classification problems as it finds the best fit for the probability of class membership. Linear Regression minimizes the mean squared error, which focuses on minimizing the distance between predicted and actual values, but does not directly optimize for class membership probabilities.
Learn more about Linear Regression:
brainly.com/question/29665935
#SPJ11
Convertir 1 milla a metros
Answer: 1 mile=1609.34 meters
Step-by-step explanation:
Multiply the mile amount by 1609.
Please help me i am struggling only do the left side
Answer:
1. Y = -1/4x + 1
3. Y = 2/5x + 1
5. Y = 4/5x + 5
7. Y = -x + 5
9. Y = -5/2x - 16
Step-by-step explanation:
Find the slope using the formula
Use the slope and one of the points to find the y-intercept
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
aaron and baron are playing a game with coins. suppose that aaron has a coin with probability of getting heads and baron has a coin with probability of getting heads. in each round, aaron and baron independently flip their coins at the same time. if no one gets heads, they play again. the game ends when either aaron or baron gets heads. the winner is the first one to get heads. the game may end in a tie if they both get heads in the same round. let denote the number of rounds aaron and baron play. what distribution is r?
R follows a geometric distribution with parameter p, the probability of either aaron or baron getting heads in a given round.
The number of rounds r follows a geometric distribution with parameter p, the probability of either aaron or baron getting heads in a given round. This is because the probability of r rounds occurring before either aaron or baron gets heads is equal to p^r, where p is the probability of either one of them getting heads in a given round. The probability of a tie is equal to p^2.
The geometric distribution is a discrete probability distribution that models the number of successes that occur in a sequence of independent Bernoulli trials before a specified (non-random) number of failures occur. The geometric distribution is the only discrete memoryless probability distribution, meaning that the probability of success in the next trial is independent of the previous outcomes. In the case of aaron and baron's coin game, the geometric distribution can be used to model the number of rounds that will occur before either aaron or baron gets heads. The probability of a given number of rounds occurring before either aaron or baron gets heads is equal to p^r, where p is the probability of either one of them getting heads in a given round. The probability of a tie is equal to p^2. Therefore, the number of rounds r follows a geometric distribution with parameter p.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
how would 4,258,145,397 be shown in written form?
Answer:
four billion two hundred fifty-eight million one hundred forty-five thousand three hundred ninety-seven
Step-by-step explanation:
Answer:
Word form-
four billion, two hundred fifty-eight million, one hundred forty-five thousand, three hundred ninety-seven.
Step-by-step explanation:
help me cause I'm stuck as heck
Answer:
dil krai chu chai chu chai chuu
i will list the question below!
Please read the entire question then work out the problem. SHOW YOUR WORK. You will NOT receive credit if you do not show your work.
I am moving 82 weaned calves to wheat pasture. Calves average water requirement is 5 gallons per calf per day (5 gal/head/day). I need to purchase a new stock tank. I want to buy one that is big enough to handle 82 calves, but I also don't want to spend more money than I have to. I don't mind buying more than 1 tank if it is a better deal.
My options are:
Oval stock tank: 4' long x 2' wide x 2' tall $140
Oval stock tank: 6' long x 2' wide x 2' tall $210
Oval stock tank: 8' long x 3' wide x 2' tall $390
Round stock tank: 8' diameter x 2' tall $500
For purposes of this problem:
* 1 cubic foot of water is approximately 7.5 gallons.
* an oval tank is a rectangle with a semi-circle on 2 ends (draw it out)
What should I do??
In the above scenario, the best option would be to purchase two of the 4' x 2' x 2' oval tanks for a total cost of $280. Note that this is a decision making math prompt.
What is the rationale for the above response?To determine which stock tank to purchase, we need to calculate the total volume of water required for the 82 calves and compare it to the volume of each tank. We can use the following formula to calculate the volume of a rectangular tank:
Volume = length x width x height
For the oval tanks, we need to break the tank down into a rectangle and two semi-circles, and then use the formula:
Volume = (length x width x height of rectangle) + (π x radius^2 x height of semi-circle)
Let's start by calculating the total water requirement for the 82 calves:
Total water requirement = 82 calves x 5 gal/head/day = 410 gallons/day
To determine the volume of each tank, we can use the formulas above and convert the result to gallons using the given conversion factor:
Volume of 4' x 2' x 2' oval tank = (4 x 2 x 2) + (π x 1 x 1 x 2) = 16 + 6.28 = 22.28 cubic feetVolume of 6' x 2' x 2' oval tank = (6 x 2 x 2) + (π x 1 x 1 x 2) = 24 + 6.28 = 30.28 cubic feetVolume of 8' x 3' x 2' oval tank = (8 x 3 x 2) + (π x 1.5 x 1.5 x 2) = 48 + 14.14 = 62.14 cubic feetVolume of 8' x 2' round tank = (π x 4² x 2) = 100.53 cubic feetUsing the given conversion factor, we can convert the volumes to gallons:
Volume of 4' x 2' x 2' oval tank = 22.28 x 7.5 = 167.1 gallonsVolume of 6' x 2' x 2' oval tank = 30.28 x 7.5 = 227.1 gallonsVolume of 8' x 3' x 2' oval tank = 62.14 x 7.5 = 466.1 gallonsVolume of 8' x 2' round tank = 100.53 x 7.5 = 754.0 gallonsBased on the calculations, the 8' x 2' round tank has the largest volume and can hold enough water for the 82 calves. However, it is also the most expensive option at $500.
If cost is a consideration, we could purchase two of the 4' x 2' x 2' oval tanks for a total cost of $280, which can hold a total of 334.2 gallons, more than enough for the 410 gallons/day requirement. This would save us $220 compared to the round tank.
Therefore, the best option would be to purchase two of the 4' x 2' x 2' oval tanks for a total cost of $280.
Learn more about Decision Making at:
https://brainly.com/question/13244895
#SPJ1
which statement is false
4320 is divisible by 3 9 10
Answer:
All of the above
Step-by-step explanation:
Divide 4320 by 3, 9, and 10 and see if you have a real number. (There's also a rule for finding this, but I can't remember TwT)
4320/3=1440
4320/9=480
4320/10=432
-hope it helps
How many numbers between 1 and 10000 have exaly 1 8 and 1 9.
Answer:
9811
Step-by-step explanation:
2020 7th grade academic rate of change unit 5 test answers please
What is the set of integers?
Answer:
The set of counting numbers, their opposites, and 0 is the set of integers. Integers are counting numbers, their opposites, and zero.
Step-by-step explanation:
The combined perimeter of an equilateral triangle and square is 13.
Find the dimensions of the triangle and square that produce a minimum total area.
The measurement of square on each side
The measurement of triangle on each side
Find the dimensions of the triangle and square that produce a maximum total area.
The measusrement of square on each side
The measurement of triangle on each side
To minimize the total area of an equilateral triangle and square, the side length of the square should be 2.167 and the side length of the triangle should be 3.833.
To find the dimensions that minimize the total area, we can set up equations based on the given information. Let's denote the side length of the square as 's' and the side length of the equilateral triangle as 't'. The perimeter of the square is 4s, and the perimeter of the equilateral triangle is 3t. Given that the combined perimeter is 13, we have the equation 4s + 3t = 13.
To minimize the total area, we need to consider the formulas for the areas of the square and equilateral triangle. The area of the square is given by A_square = \(s^2\), and the area of the equilateral triangle is given by A_triangle = (\(\sqrt{(3)}\)/4) *\(t^2\).
To find the values that minimize the total area, we can substitute s = (13 - 3t)/4 into the equation for A_square and solve for t. By finding the derivative of the total area with respect to t and setting it equal to zero, we can find the value of t that minimizes the area.
Similarly, to find the dimensions that maximize the total area, we follow the same process but this time maximize the total area by finding the value of t that maximizes the area.
Performing the calculations, we find that to minimize the total area, the side length of the square is approximately 2.167 and the side length of the triangle is approximately 3.833. To maximize the total area, the side length of the square is approximately 4.333 and the side length of the triangle is approximately 1.667.
Learn more about equilateral triangle here:
https://brainly.com/question/30176141
#SPJ11
Which ordered pair represents point D? Responses
(-4, -4)
(4, -4)
(4, 4)
(-4, 4)
The ordered pair which represents the points D is (-4, -4). So option A is correct.
What is the Cartesian coordinate system?Every point in a plane using a Cartesian coordinate system is uniquely identified by a pair of numerical coordinates.
Given here : the Point D in the graph.
An ordered pair of numbers, known as an x-coordinate and a y-coordinate respectively, can be used to represent each point in a graph. Parentheses are used to indicate ordered pairings (x-coordinate, y-coordinate).
The starting point is at (0,0).
It is easy to see that the point D is located to the right of the x-axis, -4 units and -4 points from the y-axis, respectively.
In the coordinate plane, it is likewise located in the third quadrant.
Hence, The point must be (-4,-4)
To know more about co-ordinate system here:
brainly.com/question/29762404
#SPJ1
Simplifique a expressão [5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]²
Answer:
5^43
Step-by-step explanation:
[5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]² =
= [5² . 5² . 5³. 5³ . (5³)³ ]³ : [(5²)² . 5² . 5]²
= [5² . 5² . 5³. 5³ . 5^9 ]³ : [5^4 . 5² . 5]²
= [5^19]³ : [5^7]²
= 5^57 : 5^14
= 5^43