Flora is using two different rectangular tiles for her kitchen flooring. The area A of Tile 1 is given by the equation A = 2x², where x is the width of the tile in inches. The area A of Tile 2 is given by the equation A = x² + 5x, where x is the width of the tile in inches
a. Write a polynomial equation for the total area of tile T in square inches if Flora uses ten of Tile 1 and six of Tile 2.
b. Predict the total area of the tile from part a if the width of each tile is 3 inches.
pls show work
Answers
The polynomial equation is 26x² + 30x represents the total area and of the tile from part, a is 324 square inches.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
The area A of Tile 1 is given by the equation A = 2x²
The area A of Tile 2 is given by the equation A = x² + 5x
a)
Total area = 10(Tile 1) + 6(Tile 2)
Total area = 10(2x²) + 6(x² + 5x)
Total area = 20x² + 6x² + 30x
Total area = 26x² + 30x
b) Plug x = 3 inches in the equation 26x² + 30x
A = 26(3)² + 30(3)
A = 324 square inches
Thus, the polynomial equation is 26x² + 30x represents the total area and of the tile from part, a is 324 square inches.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ1
Related Questions
A researcher wants to compare the performance of three types of pain relievers in volunteers suffering from arthritis. Because people of different ages may suffer arthritis of varying degrees of severity, the subjects are split into two groups: under 60 and over 60. Subjects in each group are randomly assigned to take one of the medications. Twenty minutes later they rate their levels of pain. Which of the following is true about this study?
a.
.
It has two factors, medication and age.
B.
It has one factor (age) blocked by type of medication.
C.
It uses matched pairs.
D.
It is completely randomized.
E.
It has one factor (medication) blocked by age.
Answers
The following is true about the study: e. It has one factor (medication) blocked by age.
In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.
In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.
Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.
In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.
In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.
To learn more outcome, refer below:
https://brainly.com/question/27292589
#SPJ11
select all the ordered pairs that satisfy the function: y=1/2x-1
a.(0,-1)
b.(8,7)
c.(-3,-11)
d.(-4,-3)
please and thank you
Answers
Answer:
a 0,-1 d -4,-3 hope this helps
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
what does the y intercept represent?
a. Tammy initially had $10 pay
b. Tammy will type for 10 m8nutes each day
c. Tammy initially had $4 pay
d. Tammy will type for 4 minutes each day
Answers
The correct option is C. Tammy initially had $4 pay when the graph shows the number of hours Tammy spends typing for work, x, and the amount of income she earns, y.
The y-intercept represents "How much Tammy is getting paid for each hour she works".
Assuming that the graph displays Tammy's earnings, y, and the number of hours she spends typing for a living, x. The number of hours worked is shown on the x-axis, and the pay in dollars is shown on the y-axis in a graph titled Tammy's Pay.
We can find what the y-intercept represents.
The line on the graph displays the ratio of how much she is paid for each hour of labour if y is the amount she is paid.
Learn more about y-intercept on: brainly.com/question/14180189
#SPJ4
Question 10 (1 point) Saved Consider 12 points, where no three of them are collinear. How many quadrilaterals can be formed using the points as vertices?
Answers
495 quadrilaterals can be formed using the given 12 points as vertices.
To answer this question, we can apply the formula to find out the number of quadrilaterals that can be formed by n points which is:
A number of quadrilaterals that can be formed = nC4 where nC4 = n!/(n - 4)! * 4!
Now, the number of points given is 12.
Using the formula above, we can get:
Number of quadrilaterals that can be formed
= nC4
= 12C4
= 12!/(12 - 4)! * 4!
= 495
495 quadrilaterals can be formed using the given 12 points as vertices.
Know more about quadrilaterals here:
https://brainly.com/question/29635320
#SPJ11
One reason a sample may fail to represent the population of interest is _____.
a. statistical inference
b. measurement error
c. sampling error
d. population proportion
Answers
One reason a sample may fail to represent the population of interest is sampling error.
The correct answer is an option (c)
We know that the sampling error is a statistical error that occurs when an analyst does not select a sample which represents the entire population of data.
So, the results found in the sample and the results obtained from the entire population would be different.
This error occurs when the sample used in the study is not representative of the entire population.
A sampling error is nothing but a deviation in the sampled value vs. the true population value.
Even randomized samples might have some degree of sampling error because in randomized samples, sample is only an approximation of the population from which it is drawn.
There are different categories of sampling errors.
- Population-Specific Error
- Selection Error
- Sample Frame Error
- Non-response Error
- Eliminating Sampling Errors
Therefore, One reason a sample may fail to represent the population of interest is sampling error.
The correct answer is an option (c)
Learn more about the sampling error here:
https://brainly.com/question/15375591
#SPJ4
compute u x v if u=6 and v 9 and the angle between u and v is 2pi/3
Answers
The magnitude of the cross product u x v is \(27\sqrt{3}\).
To compute the vector product (cross product) of u and v, we can use the formula:
u x v = |u| |v| sin(θ) n
Where:
|u| and |v| are the magnitudes of vectors u and v,
theta is the angle between u and v, and
n is the unit vector perpendicular to the plane formed by u and v.
Given:
u = 6
v = 9
θ = 2\(\pi\)/3
To find the magnitude of the cross product, we can use the formula:
|u x v| = |u| |v| sin(θ)
Plugging in the values, we get:
|u x v| = 6 * 9 * sin(2\(\pi\)/3)
= 54 * \(\sqrt{3}\)/ 2
= 27 \(\sqrt{3}\)
So the magnitude of the cross product is 27 \(\sqrt{3}\).
To determine the direction of the cross product, we can use the right-hand rule. Since the angle between u and v is 2\(\pi\)/3 (or 120°), the cross product will be perpendicular to the plane formed by u and v, pointing in a direction determined by the right-hand rule.
In conclusion, the vector product of u and v is 27 \(\sqrt{3}\), and its direction is perpendicular to the plane formed by u and v.
Learn more about cross product here:
brainly.com/question/29097076
#SPJ11
John is an expert horseshoe thrower who only misses 15% of the time. Choose the expression that correctly represents the probability John will miss fewer than 50 times if he throws 400 horseshoes.
Answers
To determine the probability that John will miss fewer than 50 times if he throws 400 horseshoes, we can use the binomial probability formula.
The formula for the probability of getting exactly x successes in n trials with a success probability of p is:
P(X = x) = (nCx) * (p^x) * ((1 - p)^(n - x))
In this case, John's success probability (p) is 0.85 (since he only misses 15% of the time), the number of trials (n) is 400, and we want to find the probability of missing fewer than 50 times.
The expression that correctly represents the probability John will miss fewer than 50 times is:
P(X < 50) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 49)
This expression represents the cumulative probability of John missing 0 times, 1 time, 2 times, and so on up to 49 times.
Note that if you have access to a statistical software or calculator, you can directly calculate this probability using the binomial distribution function.
To know more about binomial probability refer here:
https://brainly.com/question/12474772?#
#SPJ11
3. [8 points] The 30-mile 1-287 corridor near Tarrytown, New York, is heavily traveled and is a major interstate transportation link. The Tappan Zee Bridge is part of this road network and is in need of structural repairs. Approximately 140000 vehicles cross this bridge every day. Transportation officials have decided to conduct a hypothesis test and will raise tolls to fund planned repairs if there is evidence to suggest that the mean number of cars per day using this bridge has increased. [2 points each] (a) Write the null and alternative hypotheses about , the mean number of cars per day that cross the Tappan Zee Bridge, that the transportation officials would want to test. (b) For the hypotheses in part (a), describe the Type I and Type II crrors in the context of the problem. (c) If a Type I error is committed who is more angry, the transportation officials or drivers, and why? (d) If a Type II error is committed who is more angry, the transportation officials or drivers, and why?
Answers
The consequences of Type I and Type II errors in this context have different impacts on the transportation officials and the drivers, and their levels of anger would vary depending on the error committed.
What is the mean and standard deviation?
The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.
(a) The null hypothesis (H₀) and alternative hypothesis (Ha) can be formulated as follows:
Null hypothesis (H₀): The mean number of cars per day that cross the Tappan Zee Bridge has not increased.
Alternative hypothesis (Ha): The mean number of cars per day that cross the Tappan Zee Bridge has increased.
(b) Type I error: In the context of the problem, a Type I error would occur if the null hypothesis (H₀) is rejected, indicating that the mean number of cars per day has increased when it actually has not. This means that the transportation officials would conclude that the tolls need to be raised to fund repairs based on incorrect evidence.
Type II error: A Type II error would occur if the null hypothesis (H₀) is not rejected, indicating that the mean number of cars per day has not increased when it actually has. In this case, the transportation officials would fail to raise the tolls despite the actual increase in the number of cars crossing the bridge, potentially leading to insufficient funding for the repairs.
(c) If a Type I error is committed, the transportation officials would be more angry. This is because they would have mistakenly raised tolls based on incorrect evidence, which could lead to public backlash, dissatisfaction, and criticism. The drivers, on the other hand, may also be frustrated by increased tolls, but they would not be as directly affected by a Type I error as the transportation officials.
(d) If a Type II error is committed, the drivers would be more angry. This is because the transportation officials would have failed to raise tolls despite the actual increase in the number of cars crossing the bridge. This could lead to delays in repair funding and potentially worsen the condition of the bridge, causing inconvenience and safety concerns for the drivers who rely on it.
The transportation officials may also face criticism for not taking appropriate action in a timely manner, but the direct impact on the drivers would be more significant in this case.
Therefore, the consequences of Type I and Type II errors in this context have different impacts on the transportation officials and the drivers, and their levels of anger would vary depending on the error committed.
To learn more about the mean and standard deviation visit:
brainly.com/question/475676
#SPJ4
When using elimination, when should you add the equations, and when should you subtract the equations?
Answers
Answer:
In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
You're very welcome my sir or ma'am
Please help me answer these questions and explain why... I will mark you brainliest and rate you five stars
Answers
How you calculate this is this:
So, any two given sides much be greater than the other side.
7. The answer is no. 1 plus 5 is 6 right? 6 is less than 11, so it can never be a triangle.
8. The answer is yes. 3 plus 6 is greater than 7. 3 plus 7 is greater than 6. 6 plus 7 is greater than 3.
9. The answer is yes. 9 plus 11 is greater than 12. 9 plus 12 is greater than 11. 11 plus 12 is greater than 9.
Suppose a graph passes the horizontal line test: No horizontal line can be drawn that touches the graph in more than one location. Does this mean that the graph represents a function? If not, is there anything special about a graph that passes the horizontal line test? Share your ideas with a classmate.
Answers
Answer:
Step-by-step explanation:
If a function passes the horizontal line test, then we may conclude that the inverse of the function exists and can be found.
The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY)
Answers
Answer:
XY = 13 cm
Step-by-step explanation:
Area of a triangle formula:
area = base × height / 2
a = bh / 2
Plug numbers into equation:
32.5 = b × 5 / 2
Multiply both sides by 2 to isolate the variable
65 = b × 5
Divide both sides by 5 to isolate the variable
13 = b
Check your work:
32.5 = 13 × 5 / 2
32.5 = 65 / 2
32.5 = 32.5
Correct
Answer:
13
Step-by-step explanation:
Area=½×b×h
32.5=½×b×5
32.5=5/2b
To get be multiply each side by reciprocal of 5/2 which is 2/5
b =13
Reflect the triangle over the y-axis. What are the coordinates of A'?
Answers
In ΔWXY, y = 8.6 cm, x = 8.5 cm and ∠X=100°. Find all possible values of ∠Y, to the nearest 10th of a degree.
Answers
The possible value of ∠Y to the nearest tenth of a degrees in triangle WXY is 85.1 degrees.
How to find angle of a triangle using sine rule
Let's find angle Y using sine rule,
Hence,
x / sin X = y / sin Y
where
x = 8.5 cmy = 8.6 cm∠X = 100°8.5 / sin 100° = 8.6 / sin Y
cross multiply
8.5 sin Y = 8.6 sin 100°
sin Y = 8.6 sin 100° / 8.5
sin Y = 8.4693466759 / 8.5
Y = sin ⁻¹ 0.99639372657
Y = 85.1325941735
∠Y = 85.1°
learn more on triangle here: https://brainly.com/question/23998296
There are 140 cars in a parking lot.Bob looks at 15 cars and finds out that 2 cars are gray-colored. Approximately how many cars in the parking lot are gray-colored?
Answers
Answer:
about 18.7
Step-by-step explanation:
Find the distance from the vector (1, 2, 3, 4) to the
subspace of R^4 spanned by the vectors (1, −1, 1, 0) and (3, 2, 2,
1).
Answers
The distance from the vector (1, 2, 3, 4) to the subspace of R^4 spanned by the vectors (1, -1, 1, 0) and (3, 2, 2, 1) can be calculated as the length of the orthogonal projection of (1, 2, 3, 4) onto the subspace.
To find the distance, we first need to determine the orthogonal projection of the vector (1, 2, 3, 4) onto the subspace spanned by (1, -1, 1, 0) and (3, 2, 2, 1).
The orthogonal projection of (1, 2, 3, 4) onto the subspace can be obtained by projecting (1, 2, 3, 4) onto each of the spanning vectors and then summing those projections. Using the projection formula, we find that the projection of (1, 2, 3, 4) onto the first spanning vector (1, -1, 1, 0) is (5/3, -5/3, 5/3, 0), and the projection onto the second spanning vector (3, 2, 2, 1) is (3/2, 1, 1, 1/2).
Next, we calculate the difference vector between (1, 2, 3, 4) and the sum of the two projections: (1, 2, 3, 4) - [(5/3, -5/3, 5/3, 0) + (3/2, 1, 1, 1/2)] = (2/6, 13/6, 7/6, 7/2).
Finally, we find the length of the difference vector, which represents the distance between (1, 2, 3, 4) and the subspace: √[(2/6)^2 + (13/6)^2 + (7/6)^2 + (7/2)^2] = √(242/9).
Therefore, the distance from the vector (1, 2, 3, 4) to the subspace of R^4 spanned by (1, -1, 1, 0) and (3, 2, 2, 1) is √(242/9).
To learn more about orthogonal click here:
brainly.com/question/32196772
#SPJ11
Which of the following statements about rational numbers is not correct? А All whole numbers are also rational numbers. B All rational numbers can be written in the form where b=0. b.wh C Rational numbers cannot be negative. D All integers are also rational numbers.
Answers
Step-by-step explanation:
1736-8166x71662=8177103 :D13th term of the geometric sequence 1, 2, 4
Answers
Answer:
The 13th term of the geometric sequence is 4096---------------------
First, find the common ratio:
r = 2/1 = 4/2 = 2Next, use the formula for the nth term of a geometric sequence:
aₙ = a₁ * rⁿ⁻¹ where a₁ is the first term and r is the common ratioPlugging in the values we have:
a₁₃ = 1 * 2¹³⁻¹ = 1 * 2¹² = 4096b) Factorise fully.
8x² + 12x
Answers
Answer:
76x
Step-by-step explanation:
a sphere has a radius of 6.69 meters. what is the cross-sectional area that passes through its center?
Answers
The cross-sectional area of a sphere that passes through its center is a circle with a diameter equal to the diameter of the sphere. In this case, the diameter of the sphere is 6.69 meters * 2 = 13.38 meters.
The formula for the area of a circle is: A = π * r^2, where r is the radius.
Therefore, the cross-sectional area of the sphere that passes through its center is: A = π * (13.38/2)^2 = π * (6.69)^2 = 136.57 square meters.
A sphere is a three-dimensional shape that has a uniform, rounded surface that is symmetrical in all directions. When you cut a sphere through its center, you get a cross-sectional area that is a circle.
This is because a sphere can be thought of as a set of circular cross-sections that are concentric with each other and with the center of the sphere.
The cross-sectional area of the sphere that passes through its center is called the central cross-section of the sphere. It has the same diameter as the sphere itself and its area can be calculated using the formula for the area of a circle: A = π * r^2, where r is the radius of the circle.
In this case, the sphere has a radius of 6.69 meters, which means that its diameter is 6.69 * 2 = 13.38 meters.
The radius of the central cross-section of the sphere is half of the diameter, which is 6.69 meters. Therefore, the area of the central cross-section of the sphere is: A = π * (6.69)^2 = 136.57 square meters.
To know more about Geometry
https://brainly.com/question/24375372
#SPJ4
Find the indicated side of the right triangle.
Answers
See the rest in the photo
which statement about equations and expressions is true? an example of an equation is because it shows that two expressions are equal. an example of an expression is because it shows that two equations are equal. an example of an equation is because it is a mathematical phrase represented by numbers, a variable, and an operation. an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.
Answers
The statement that is true about equations and expressions is that an example of an equation is because it shows that two expressions are equal.
While an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.
An equation is a mathematical statement where two expressions are equal. It's important to note that an equation has an equals sign, so the left side of the equation is equal to the right side of the equation.
Expressions are combinations of numbers, symbols, and operators that represent a value. A symbol or letter that represents a value is a variable. It's important to note that an expression does not have an equals sign, so the value of the expression is not defined.Why is an example of an equation true?An equation can be written in the form x = y. The equals sign indicates that x and y are equal. This means that two expressions, x and y, are equal. Therefore, an equation shows that two expressions are equal.
An example of an equation is 3x + 4 = 10. This equation is an example of an equation because it shows that two expressions, 3x + 4 and 10, are equal. The left side of the equation (3x + 4) equals the right side of the equation (10). Therefore, this statement is true: "An example of an equation is because it shows that two expressions are equal."
Learn more about algebraic expressions and equations:https://brainly.com/question/4344214
#SPJ11
can u please give me the answer
Answers
Answer:
mine is wrong go to the other guy its c
Answer:
C. -2x < 5
Step-by-step explanation:
-2(8) < 5
-16 < 5
-16 is less than 5 so it is true.
True
False
The objective function in the linear programming always consists of either maximizing or minimizing some value.
Answers
True, The objective function in linear programming is formulated to either maximize or minimize a specific value or quantity.
The goal of linear programming is to optimize this objective function by finding the optimal values for the decision variables within the given constraints. Whether it is maximizing profit, minimizing cost, maximizing production, or minimizing waste, the objective function is designed to achieve the desired optimization outcome.
The objective function in linear programming serves as the goal or target to be achieved. It can involve maximizing profits, minimizing costs, maximizing efficiency, minimizing waste, or any other measurable quantity. The objective function guides the optimization process by defining the objective to be pursued in the linear programming problem.
Learn more about linear programming at
https://brainly.com/question/30763902
#SPJ4
Consider what you know about the sampling distribution of the sample proportion. This sampling distribution has a shape that is skewed to the right, regardless of sample size. is a collection of the parameters of all possible samples of a particular size taken from a particular population. Will become more variable as the sample size increases. will have a center equal to the population proportion, orp. Will be Normal in shape only if the sample size is at least 100 .
Answers
As per the sampling technique, consider the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.
The sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.
Here for the given question, let us check all the given statements in the options
Here we know that the shape is approximately normal. Then the given option will be false.
Next, it is the collection of all samples taken from the population, So the given option will be false
Standard Deviation
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Now, the sample size increases, the value of n increases. where n is the value on the denominator of the equation of standard deviation.
Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.
Then the less standard deviation means a small variance.
Therefore, as a result, as the sample size grows, the variation will be minimal.
So, the center is the same as the sample proportion p.
Therefore, this is correct.
To learn more about Sampling Distribution visit:
brainly.com/question/13501743
#SPJ4
In one year, a bluefin tuna releases 300% more eggs than an Atlantic sturgeon. The bluefin tuna releases about 10,000,000 eggs. About how many eggs does the Atlantic sturgeon release?
Answers
Answer:
2,500,000
Step-by-step explanation:
If the bluefin tuna releases 300% more than the atlantic sturgeon, it releases 400% times the atlantic sturgeon. (Think about it like this: 300% more of something is 300% plus the 100% of that something, so it is 400%). To find how many eggs the atlantic sturgeon produces, divide 10,000,000 by 400% or 4 10,000,000/4 is 2,500,000.
The demand for product Q is given by Q=100−.25P and the total cost of Q by: STC=3000+40Q−5Q ^2 + 1/3Q ^3 g. At what positive level of Q is marginal profit maximized? You found the profit function in (e) above. Marginal profit is the first derivative of the profit function (e). Next, find the derivative of marginal profit, set it equal to zero, and solve for Q. This is the Q that maximizes marginal profit. h. What price per unit should be charged for each unit of Q found in (g)? Simply plug the Q you got in (g) into the same price function you found in (a) and also used in (d).
Answers
a) To find the profit function, we must first determine the revenue and cost functions and then subtract the cost from the revenue.
Given that the demand function is Q = 100 - 0.25P, we can determine the revenue function by multiplying this by P. R(Q) = PQ
= P(100 - 0.25P)
L= 100P - 0.25P² The total cost of Q is given by: STC
= 3000 + 40Q - 5Q² + (1/3)Q³g. We can find the cost function by taking the derivative of STC with respect to Q. C(Q)
= 40 - 10Q + (1/3)Q² Marginal profit is the derivative of the profit function.
The profit function is given by P(Q) = R(Q) - C(Q). P(Q)
= 100P - 0.25P² - (40 - 10Q + (1/3)Q²) Marginal profit is the first derivative of the profit function. MP(Q)
= dP/dQ MP(Q)
= 100 - 0.5P - (10 + (2/3)Q) Setting the marginal profit equal to zero and solving for Q: 100 - 0.5P - (10 + (2/3)Q)
= 0 90 - 0.5P
= (2/3)Q Q
= (135/2) - (3/4)P To find the price per unit, we can plug the value of Q into the demand function: Q
= 100 - 0.25P (135/2) - (3/4)P
= 100 - 0.25P (7/4)P
= 65 P
= 260/7
(g) Marginal profit is maximized at Q = (135/2) - (3/4)P, and price per unit should be $260/7.
To know more about function, visit:
https://brainly.com/question/21145944
#SPJ11
harry is 14 years old ,and larry is 7. how many times older is harry than larry? what is known and the unknown
Answers
Answer:
Harry is 7 more years older then larry
Step-by-step explanation:
Harry is 7 more years older then larry because if you sutract 7-14 you get 7
What is the answer and how to answer
Answers
DONT CLICK THE LINKS
Please Help Me with my homwork
Answers
Answer:
first blank is -3/2
Step-by-step explanation:
second blank is 2