Answer:
3 is the slope of the line
Step-by-step explanation:
2 is the y-intercept:)
Hope I helped a little! I wish you lcuk with all my heart!
This is a multi-part question. Once an answer is submitted, you will be unable to return to this part Find the value of given function. Match the given functions. 10.17 [3] + [1+ 31 (-0.1] [2.99] Match each of the options above to the items below. 1, 3,2,-1
Therefore, the matching is as follows: Option 1: Not given and Option 2: Not linear and Option 3: Not quadratic and Option -1: Not exponential.
Given the function 10.17[3]+[1+31(-0.1)][2.99] and we are required to find its value.
The options provided are 1, 3, 2, -1.
To find the value of the function, we can substitute the values and simplify the expression as follows:
10.17[3] + [1+ 31(-0.1)][2.99] = 30.51 + (1 + (-3.1))(2.99) = 30.51 + (-9.5) = 21.01
Therefore, the value of the given function is 21.01.
Now, to match the given functions to the options provided:
Option 1: The given function is a constant function. It has the same output for every input. It can be represented in the form f(x) = k. The value of k is not given here. Therefore, we cannot compare this with the given function.
Option 2: The given function is a linear function. It can be represented in the form f(x) = mx + c, where m and c are constants. This function has a constant rate of change. The given function is not a linear function.
Option 3: The given function is a quadratic function. It can be represented in the form f(x) = ax² + bx + c, where a, b, and c are constants. This function has a parabolic shape.
The given function is not a quadratic function.
Option -1: The given function is an exponential function. It can be represented in the form f(x) = ab^x, where a and b are constants. The given function is not an exponential function.
Therefore, the matching is as follows:
Option 1: Not given
Option 2: Not linear
Option 3: Not quadratic
Option -1: Not exponential
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Is y= -2/x a linear equation
Answer:
no
Step-by-step explanation:
linear means straight line.
Consider this scaled figure of a swimming pool. The dimensions of the original pool are 24 feet wide by 36 feet long. A rectangle has a width of 6. 4 feet and width of question mark feet. Use the measurements of the original and of the scaled figure to find the scale factor and the missing length. What is the scale factor? What is the missing length of the scale model?.
The scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.
How to calculate the scale factor?Suppose the initial measurement of a figure was x units.
And let the figure is scaled and new measurement is of y units.
Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.
Then we have:
\(s \times x = y\\s = \dfrac{y}{x}\)
Thus, scale factor is the ratio of the new measurement to the old measurement.
For this case, we're specified that:
Dimensions of the original pool = 24 feet wide by 36 feet long
The scaled rectangle's dimension: 6.4 feet width and L feet length (we assume the length be L units).
So, in scale drawing, 24 feet was converted to 6.4 feet. Let the scale factor be 's', then:
\(6.4 = s \times 24\\\\s = \dfrac{6.4}{24} = \dfrac{4}{15}\)
Thus, since length is also scaled by same factor(as the whole figure is scaled by constant scale factor assumingly), we get:
Scaled length = s times original length
\(L = \dfrac{4}{15} \times 36 = 9.6 \: \rm feet\)
Thus, the scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.
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Find the surface area of the prism 12in 7in 5in
Answer:
Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula
Step-by-step explanation:
What percent of 80 is 48? Round your answer to the nearest hundredth if necessary.
Answer:
60%
Step-by-step explanation:
Solve the proportion below. X/12=12/72
Answer:
x=2
Step-by-step explanation:
2/12 is equal to 12/72
Answer:
its 2
Step-by-step explanation:
For the given parametric equations, find the points (x, y) corresponding to the parameter values t = -2, -1, 0, 1, 2. x = In(8t2 + 1), t y = t +9 t = -2 (x, y) = ( 3.5, 7 t = -1 (x, y) = 2.2, - 1 1 8 x t = 0 (x, y) = (0.0 t = 1 (x, y) = 2.2. 1 10 X t = 2 (x, y) = -(3.5, 11 X
The corresponding points (x, y) for the given parameter values t = -2, -1, 0, 1, 2 are:
(-ln(33), 11), (ln(9), 8), (0, 9), (ln(17), 10), (ln(33), 7).
To find the corresponding points (x, y) for the given parameter values, we substitute the values of t into the given parametric equations:
For t = -2:
x = ln(8(-2)^2 + 1) = ln(33)
y = -2 + 9 = 7
So, the point is (ln(33), 7).
For t = -1:
x = ln(8(-1)^2 + 1) = ln(9)
y = -1 + 9 = 8
So, the point is (ln(9), 8).
For t = 0:
x = ln(8(0)^2 + 1) = ln(1) = 0
y = 0 + 9 = 9
So, the point is (0, 9).
For t = 1:
x = ln(8(1)^2 + 1) = ln(17)
y = 1 + 9 = 10
So, the point is (ln(17), 10).
For t = 2:
x = ln(8(2)^2 + 1) = ln(33)
y = 2 + 9 = 11
So, the point is (-ln(33), 11).
Therefore, the corresponding points (x, y) for the given parameter values t = -2, -1, 0, 1, 2 are:
(-ln(33), 11), (ln(9), 8), (0, 9), (ln(17), 10), (ln(33), 7).
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3
Period
Date
5. If a teacher were to distribute sheets of
paper so that each student got two
sheets, there would be 8 sheets
remaining. However, if three sheets
were given to each student, the teacher
would be 11 sheets short. Which
equation could be used to find how
many students are in the class?
If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11.
A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b
where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).
Let number of students in class be denotes as "x",
If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,
If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,
So, the equation which is used to find number of students in class is 2x+8=3x-11,
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?
(a) 2(x - 8) = 3(x + 11)
(b) 2(x + 8) = 3(x - 11)
(c) 2x-8 = 3x + 11
(d) 2x+8 = 3x - 11
what percent of flights are expected to meet the 20 minute "time to carousel"?
that it is difficult to determine an exact percentage of flights that are expected to meet the 20 minute "time to carousel" as it can vary depending on factors such as airport size, number of passengers, and baggage handling procedures. However, according to the Department of Transportation, the average wait time for baggage retrieval at major airports in the United States is around 30 minutes.
In explanation, the time it takes for baggage to reach the carousel after a flight lands is affected by several factors. These include the size of the airport, the number of passengers on the flight, the efficiency of baggage handlers, and any delays or issues that may occur during the transportation of the luggage from the plane to the carousel.
while it is difficult to provide an exact percentage of flights that meet the 20 minute "time to carousel" goal, it is clear that wait times for baggage retrieval can vary and can sometimes exceed 30 minutes. Factors such as airport size and efficiency of baggage handling can contribute to this variation.
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A rowing team rowing with the current traveler 18 km in 2 hours. Rowing against the current, the team rowed 16 km in the same amount of time. Find the rate of the rowing team in clam water and the rate of current.
The rate of the rowing team in clam water and the rate of current is 8 km/hour and 9 km/hour respectively.
Given information:
Distance traveled in clam water = 16 km
Time Taken = 2 hour
Rate in Clam water = Distance/Time = 16/2 = 8 km/hour
Distance traveled against the current = 18 km
Time Taken = 2 hour
Rate of current = Distance/Time = 18/2 = 9 km/hour
Hence, The rate of the rowing team in clam water and the rate of current is 8 km/hour and 9 km/hour respectively.
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please help me its math
The value of f(x) = 3x² - 2x at x = 4 is 40.
What is function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
Here, the given function;
f(x) = 3x² - 2x
put the value of x = 4, we get
f(4) = 3 X 4² - 2 X 4
f(4) = 3 X 16 - 8
f(4) = 48 - 8
f(4) = 40
Thus, the value of f(x) = 3x² - 2x at x = 4 is 40.
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Seven less than the product of a number and -4 is 41
the unknown number is -12, 41+7=48
48/-4=-12
Help please with this bath problem the picture above
Answer:
a relation that is a function
Step-by-step explanation:
the ____ format specifier is used to denote a signed decimal integer.
The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.
When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.
For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.
Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.
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HELP FOR 20 POINTSSS
x =3 ; y=8.4
x = 3 ; y = 15
x = 6 ; y =7.5
x = 6; y =18
Answer:
The first one.
Step-by-step explanation:
solving for x:
5/2 = 7.5/x
cross multiply
2 ×7.5 =5x
x= 2×7.5/5
x= 3
solving for y:
values of the small triangle over the bigger triangle-
5/6 =7/y
cross multiply and solve for y
y= 8.4
therefore (x= 3; y= 8.4)
YOU ARE VERY WELCOME!
Colin and April both thought of six numbers. Colin's first number was 0, and April's first number was 10. Colin added 1 each time to get his other numbers. April subtracted 2 each time to get her other numbers. Which statements are correct? Select three that apply.
Answer:
Step-by-step explanation:
aprils second answer was 8
Which statement describes graph
Answer:
Step-by-step explanation:
There are no statements here
I need help with 4-5
The lines that are parallel and the converse theorem that justifies each statement are:
4. a. x║y
b. AEA converse.
5 a. a║b
b. CIA converse.
What is the Alternate Exterior Angles Converse (AEA)?If two alternate exterior angles on two lines are said to be congruent to each other, the two lines they lie on are proven to be parallel lines based on the alternate exterior angles converse (AEA).
What is the Consecutive Interior Angles Converse (AEA)?If two interior angels on the same side of a transversal are congruent to each other, the lines they are found on can be proven to be parallel lines based on the consecutive interior angles converse (CIA).
Therefore, we have the following deductions:
4. a. If <9 ≅ <15, then the lines that are parallel are, x║y
b. The correct justification for this is, AEA converse.
5 a. If m<3 + m<10 = 180°, then the lines that are parallel are, a║b
b. The correct justification for this is, CIA converse.
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Tanvi opened a savings account and deposited $400.00 as principal. the account earns 13%
interest, compounded annually. what is the balance after 7 years?
p(1+)",
use the formula a = p 1 + where a is the balance (final amount), p is the principal
(starting amount), r is the interest rate expressed
as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
round your answer to the nearest cent.
The amount of the money after 7 years with a rate of 13% with an initial amount of $400 will be $ 941.04.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Tanvi opened a savings account and deposited $400.00 as principal.
The account earns 13% interest, compounded annually.
Then the balance after 7 years will be
We know the compound interest formula.
A = P (1 + r)ⁿ
We have
P = $ 400
r = 13%
n = 7 years
Then we have
A = 400 x (1 + 0.13)⁷
A = 400 x 1.13⁷
A = 400 x 2.3526
A = $ 941.04
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(1 point) During the time that a car travels \( 3.5 \) miles, its tires make 2000 revolutions. What is the radius of the tires in inches? inches : help (numbers) You have attempted this problem 0 time
The radius of the tires can be determined by using the formula for the circumference of a circle, which is given by \( C = 2\pi r \), where \( C \) is the circumference and \( r \) is the radius.
In this problem, we are given that the car travels \( 3.5 \) miles and the tires make 2000 revolutions. To find the radius of the tires, we need to convert the distance traveled into the circumference of the tires.
Since the circumference of the tires is equal to the distance traveled, we can write:
\( C = 3.5 \) miles
Now, we need to convert the distance from miles to inches because the radius needs to be in inches. We know that 1 mile is equal to 5280 feet, and 1 foot is equal to 12 inches. So, we can use these conversion factors to convert the distance:
\( C = 3.5 \) miles = \( 3.5 \times 5280 \) feet = \( 3.5 \times 5280 \times 12 \) inches
Next, we can divide the circumference by the number of revolutions to find the distance traveled per revolution:
\( \text{Distance per revolution} = \frac{{C}}{{\text{Number of revolutions}}} \)
\( \text{Distance per revolution} = \frac{{3.5 \times 5280 \times 12}}{{2000}} \) inches
Finally, since the distance per revolution is equal to the circumference of the tires, we can use the formula for the circumference to find the radius:
\( \text{Circumference} = 2\pi r \)
\( \frac{{3.5 \times 5280 \times 12}}{{2000}} = 2\pi r \)
Now, we can solve for the radius:
\( r = \frac{{\frac{{3.5 \times 5280 \times 12}}{{2000}}}}{{2\pi}} \) inches
Calculating this expression will give us the radius of the tires in inches.
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Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49.
How many small dogs did Ryan walk?
Ryan walked
small dogs.
Answer:
He walked 5 small dogs and 3 large dogs.
Step-by-step explanation:
We'll represent the number of small dogs Ryan walked 'x,' and the number of large dogs Ryan walked '8-x.'
49 = 5x + 8(8-x)
x=5
8-5=3
Therefore, Ryan walked 5 small dogs and 3 large dogs.
I hope this helps! ^-^
solve the equation z2 = 4
Answer:
z=2,−2
Step-by-step explanation:
Given that 2x-7y=30
Find Y when X=-3
Give your answer as an improper fraction, in its simplest form.
Answer:
y = - \(\frac{24}{7}\)
Step-by-step explanation:
Substitute x = - 3 into the expression
2x - 7y = 30
2(- 3) - 7y = 30
- 6 - 7y = 30 ( add 6 to both sides )
- 7y = 36 ( divide both sides by - 7 )
y = \(\frac{36}{-7}\) = - \(\frac{36}{7}\)
A newly appointment school district superintendent releases a plan for the next 20 years that affects the schools within the boundaries of the district. In this plan, there is new policy that states that if a high school has less than 100 students, then the school will be shut down. Calamanco High School has a population of 1,417 students, but it is losing students at an average rate of 109 students per year. This school used to house more than 5,000 students but the district has been struggling in recent years and losing people to more affluent nearby districts and cities. Some communities are concerned about this decreasing rate because there will be a time when the district may shut the school down. Let x represent the number of full years that the school is operational.
Answer:1417-109x<100
Step-by-step explanation:
3. Which of these numbers is greater
than 4.598 and less than 4.603?
A 4.597
B 4.599
C4.604
D 4.7
Answer:
B
Step-by-step explanation:
4.598 4.599 4.603
The middle number is 0.001 larger than the first number and 0.004 smaller than the second number.
Answer: A 4.597
Step-by-step explanation:
It is one one thousandth more than 4.598 and is less the 4.603.
The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
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What is £21,067 divided by 12 to 2 decimal places
(-3,-2) and (-8,4)
what is the distance between them in radical form
Answer:(-4,5)
Step-by-step explanation:If you put (-3,2) and (-8,4) on a number line then it would be (-4,5).
The expression -50x + 100 represents the balance, in dollars, of the bank account after x months.
What is the rate of change in dollars per month, of the bank account balance?
Answer:
\(-50\)
Step-by-step explanation:
In the \(1\text{st}\) month the balance will be \(-50(1) +100\) which is \(50 \). In the \(2\text{nd}\) month, the balance will be \(-50(2) +100\) which is \(0 \). In the \(3\text{rd}\) month, the balance will be \(-50(3) +100\) which is \(-50\).
We can see that for every increase of \(1\) month, the balance of the bank account will decrease by \(50\).
A farmer has asked you for advice on the best strategy for planting wheat and corn on her 500-acre farm. To make it through harvest time, each acre of wheat she plants will require 1 person-day of labor and other expenses of $20. Each acre of corn she plants will require 5 person-days of labor and expenses of $30. The farmer has $11,400 and 1480 person-days of labor available, and she expects to make a profit of $90 per acre of wheat and $120 per acre of corn. If x = acres of wheat and y = acres of corn, which of the following is NOT a constraint?
x + y ≤ 500
20x + 30y ≤ 11,400
y ≥ 5x + 30
x + 5y ≤ 1480
The constraint that is NOT valid is " \(y > = 5x + 30\) "
To determine the constraints, we analyze the given information. The farmer has a 500-acre farm, and she wants to optimize her planting strategy for wheat and corn. Each acre of wheat requires 1 person-day of labor and $20 in expenses, while each acre of corn requires 5 person-days of labor and $30 in expenses. The farmer has a budget of $11,400 and 1480 person-days of labor available.
To maximize profit, we consider the profit per acre for each crop, which is $90 for wheat and $120 for corn. Let x represent the acres of wheat and y represent the acres of corn.
The constraints are as follows:
\(x + y < = 500\) : This constraint ensures that the total planted area does not exceed the farm size.\(20x + 30y < = 11,400\) : This constraint represents the budget limitation.\(y > = 5x + 30\) : This constraint is NOT valid because it suggests that the number of acres of corn must be greater than or equal to 5 times the number of acres of wheat plus 30. However, there is no information provided to support this relationship.\(x + 5y < = 1480\) : This constraint limits the total available person-days of labor.By considering these constraints, the farmer can determine the optimal combination of wheat and corn planting to maximize profit while adhering to resource limitations.
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