The amount of time (t) in minutes it takes Tracy to mow an average-sized yard is related to (n) the number of yards mowed. The equation is t = 2n + 12. How many lawns does Tracy mow if it takes 30 minutes?
9 yards
7 yards
4 yards
None of these choices are correct.
Answer:9
Step-by-step explanation: 30= 2n + 12
Subtract 1Subtract12 from both sides
Divide both sides by 2
A train moves at constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?
Answer:
1.5 miles per minute
Step-by-step explanation:
4 x 5-10 - 2 (1-2) + 5=
Answer:
\(17\)
Step-by-step explanation:
\(4\cdot \:5-10-2\left(1-2\right)+5\)
\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)
\(=4\cdot \:5-10-2\left(-1\right)+5\)
\(=20-10-2\left(-1\right)+5\)
\(=20-10-\left(-2\right)+5\)
\(20-10=10\)
\(=10-\left(-2\right)+5\)
\(-\left(-2\right)=+2\)
\(=10+2+5\)
\(10+2=12\)
\(=12+5\)
\(12+5=17\)
\(=17\)
Hi, can someone please explain to me in further detail or
providing a working example of how to setup a bicubic polynomial
using this formula? thanks
\( =\left[C_{00} u^{0} v^{0}+C_{01} u^{0} v^{\prime}+C_{02} u^{0} v^{2}+C_{03} u^{0} v^{3}\right]+ \) \( \left[c_{10} u^{\prime} v^{0}+c_{11} u^{\prime} v^{\prime}+c_{12} u^{\prime} v^{2}+c_{13} u^{\p
The bicubic polynomial formula you provided is used for interpolating values in a two-dimensional grid. It calculates the value at a specific point based on the surrounding grid points and their coefficients.
The bicubic polynomial formula consists of a series of terms multiplied by coefficients. Each term represents a combination of powers of u and v, where u and v are the horizontal and vertical distances from the desired point to the grid points, respectively. The coefficients (C and c) represent the values of the grid points.
To set up the bicubic polynomial, you need to know the values of the grid points and their corresponding coefficients. Let's take an example where you have a 4x4 grid and know the coefficients for each grid point. You can then plug in these values into the formula and calculate the value at a specific point (u, v) within the grid.
For instance, let's say you want to calculate the value at point (u, v) = (0.5, 0.5). You would substitute these values into the formula and perform the calculations using the known coefficients. The resulting value would be the interpolated value at that point.
It's worth noting that the coefficients in the formula can be determined through various methods, such as curve fitting or solving a system of equations, depending on the specific problem you're trying to solve.
In summary, the bicubic polynomial formula allows you to interpolate values in a two-dimensional grid based on the surrounding grid points and their coefficients. By setting up the formula with the known coefficients, you can calculate the value at any desired point within the grid.
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a survey of 400 non-fatal accidents showed that 173 involved faulty equipment. find a point estimate for p, the population proportion of accidents that involved faulty equipment
Based on a survey of 400 non-fatal accidents, where 173 involved faulty equipment, the point estimate for the population proportion (p) of accidents that involved faulty equipment is 173/400 = 0.4325.
To calculate the point estimate for the population proportion, we divide the number of accidents involving faulty equipment (173) by the total number of accidents surveyed (400).
This gives us a ratio of 0.4325, which represents the estimated proportion of accidents involving faulty equipment in the population.
A point estimate is a single value that serves as an approximation or best guess for an unknown population parameter.
In this case, the population proportion (p) represents the proportion of all accidents that involved faulty equipment. The point estimate of 0.4325 suggests that approximately 43.25% of non-fatal accidents may involve faulty equipment based on the sample data.
It's important to note that this point estimate is subject to sampling variability and may not perfectly reflect the true population proportion. To obtain a more precise estimate with a measure of uncertainty, one would need to consider confidence intervals or conduct hypothesis testing using statistical methods.
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The feet S and T of two verticL poles SR and TP are in line with a point Q on the same level ground. SR and TP are 5m and 9m respectively. S lies between Q and T and is 25m from Q. The angle of elevation of P from R is 30°. Calculate: the angle of elevation of P from Q correct to one decimal place
The angle of elevation from P to Q is 14.8°
How to calculate the angle of elevationThe angle of elevation of point P from point Q can be discovered by using the concept of similar triangles. Let's consider the right triangles QSR and QTP.
In triangle QSR, we have:
QS = 25m (given)
SR = 5m (given)
Utilizing the Pythagorean hypothesis, able to discover QR:
QR = sqrt(QS^2 + SR^2) = sqrt(25^2 + 5^2) = sqrt(650) ≈ 25.5m
Presently, in triangle QTP, we have:
QT = QR + RT = 25.5m + 9m = 34.5m (since SR and TP are in line)
We are given that the angle of elevation of P from R is 30°. This implies that point PRT is 30°.
Utilizing trigonometry in triangle QTP, able to discover the angle of elevation of P from Q:
tan(angle PQT) = TP / QT
tan(angle PQT) = 9m / 34.5m
point PQT = arctan(9m / 34.5m) ≈ 14.8°
Hence, the angle of elevation of P from Q is 14.8°, redress to one decimal place.
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Which statement is true about the function shown in the graph?
\(f(x) = 2 \sqrt{x + 4} \)
A. The function is strictly increasing.
B. The function is strictly decreasing.
C. The function is increasing and decreasing.
D. The function is constant.
Answer:
Function is slightly increasing
Step-by-step explanation:
PLATO
Can someone answer this please
Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
Replace all Xs with 3
This measure of central tendency can be considered the most precise.
a. mode
b. median
c. mean
d. average
This measure of central tendency can be considered the most precise in option c. mean
The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.
The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.
However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.
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Nathan is building a toolshed with a rectangular floor. The area of a rectangle is given by the formula / - w, where I represents the length,
and w represents the width. The floor of the shed will have measurements of either / = 9 and w = 5 or 1 = 7 and w=7. What is the area
of the larger floor?
49
O
35
63
45
Answer:
45
Step-by-step explanation:
if l=9 , w is 5
then area is 9*5=45
if l=7 , w is 7
then area is 7*7=49
49 is greater than 45
but it is not a rectangle. It is a square.
Therefore the correct answer is 45.
when analyzing survey results from a two-way table, the main distinction between a test for independence and a test for homogeneity is the number of columns in the two-way table. the number of rows in the two-way table. how the expected counts are calculated. the number of samples obtained. how the degrees of freedom are calculated.
Expected counts are calculated by the test of independence and also by using Homogeneity.
The main difference between a test of independence and a test of uniformity when analyzing voting results from a two-page table is how the expected count is calculated.
The test of independence calculates expected frequencies assuming no relationship between the two variables analyzed and is based on the marginal totals of the two-way table.
Independence tests are used to know whether there is a significant association between two variables or not.
Homogeneity tests, on the other hand, compute expected frequencies assuming that the two groups being compared have the same distribution for the variable being analyzed, based on the row sums of a two-way table.
Homogeneity tests are used to know whether there is a difference in the distribution of a categorical variable between groups.
The number of columns and rows in the two-way table and the number of samples obtained are important factors to consider when performing both tests.
However, how the expected count is calculated is the main difference between the two tests. The degrees of freedom are also calculated differently for the two tests, but this is secondary.
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have u ever seen 2 pretty besfrens??
yea once
they ain't friends no more
bc I stole one
and now there ain't 2 pretty best frens no more
given the points (2,k) and (0,-6) for whick values of k would the distance between points sqaure root of 5
Given the points (2, k) and (0, -6), and the distance is √5
The distance between two points is calculated by the formula:
\(\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ \text{where,} \\ (x_1,y_1)=(2,k) \\ (x_2,y_2)=(0,-6) \\ d=\sqrt{5} \end{gathered}\)Hence,
\(\begin{gathered} \sqrt[]{5}=\sqrt[]{(-6-k)^2+(0-2)^2} \\ \sqrt[]{5}=\sqrt[]{(-6-k)^2+(-2)^2} \\ \sqrt[]{5}=\sqrt[]{(-6-k)^2+4} \\ \text{squaring both sides} \\ 5=(-6-k)^2+4 \\ (-6-k)(-6-k)+4=5 \\ 36+6k+6k+k^2+4=5 \\ k^2+12k+36+4-5=0 \\ k^2+12k+35=0 \\ \text{factorize completely,} \\ (k^2+5k)+(7k+35)=0 \\ k(k+5)+7(k+5)=0 \\ (k+7)(k+5)=0 \\ k+7=0 \\ k=-7 \\ k+5=0 \\ k=-5 \end{gathered}\)Therefore, the values of k would be -5 or -7 [option A is correct]
for problems 7–21, verify that the given function is a solution to the given differential equation (c1 and c2 are arbitrary constants), and state the maximum interval over which the solution is valid. 8. y(x)
The function y(x) = c₁ cos 2x + c₂ sin 2x is a valid solution to the differential equation y'' + 4y = 0. The solution is valid for all values of x, unless specific initial conditions or constraints are given that limit its interval.
To verify if the given function y(x) = c₁ cos 2x + c₂ sin 2x is a solution to the differential equation y'' + 4y = 0, we need to substitute the function into the differential equation and check if it satisfies the equation for all values of x.
First, let's find the first and second derivatives of y(x):
y'(x) = -2c₁ sin 2x + 2c₂ cos 2x
y''(x) = -4c₁ cos 2x - 4c₂ sin 2x
Now, substitute y(x), y'(x), and y''(x) into the differential equation:
y''(x) + 4y(x) = (-4c₁ cos 2x - 4c₂ sin 2x) + 4(c₁ cos 2x + c₂ sin 2x)
= -4c₁ cos 2x - 4c₂ sin 2x + 4c₁ cos 2x + 4c₂ sin 2x
= 0
As we can see, the expression simplifies to zero, which means that y(x) = c₁ cos 2x + c₂ sin 2x is indeed a solution to the differential equation y'' + 4y = 0.
The maximum interval over which this solution is valid depends on the initial conditions or any other constraints provided in the problem. In general, since the given solution contains periodic functions (cosine and sine), it can be defined for all real values of x.
The complete question is:
For Problems 7-21, verify that the given function is a solu- tion to the given differential equation c₁ and c₂ are arbitrary constants), and state the maximum interval over which the solution is valid.
8. y(x) = c₁ cos 2x + c₂ sin 2x, y'' + 4y = 0
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Which of the following functions best represents the graph
Step-by-step explanation:
The zeroes of f(x) are -2, -3 and 2.
Hence f(x) = (x + 2)(x + 3)(x - 2) = (x + 3)(x² - 4) = x³ + 3x² - 4x - 12.
Zapisz w postaci ułamka dziesiętnego: A)224/10=....... B)5315/10=...... C)3783/100=...... D)34502/1000...... Proszę o szybką odpowiedź Daje naj i 20 punktów
Answer:
\(\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502\)
Step-by-step explanation:
To solve the problem, we need to write each fraction in decimal form.
Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.
\(\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502\)
help plzzzzzz it should be easy
Answer:
uh
Step-by-step explanation:
l
Answer
1.< 2.>
Step-by-step explanation:
1. 9x4/5= 7.2<9
2. 4x6/5= 4.8>4
40 Points!!!!!!!!!!
For the polynomial, list each real zero and its multiplicity. Determine whether the graph
crosses or touches the x-axis at each x -intercept.
f(x) = 3(x + 7)(x + 3)^2?
A? B? C? D?
Answer:
B
Step-by-step explanation:
You find the multiplicity by looking at the power of the original root. You can imagine it as \((x+7)^1(x+3)^2\). Now set those equal to 0 to find the value of them as roots.
\(x+7=0\\x+3=0\)
Solve them both and you get:
\(x=-7\\x=-3\)
Now as we saw in the origin of the roots above that (x + 7) was raised to the first power. That means it has a multiplicity of one, which also means it crosses when it reaches the x-axis. (x + 3) however had a multiplicity of 2, since it was squared. That means that (x + 3) will touch and turn the x-axis.
Therefore the answer is B since that agrees with everything we said.
A flight from Baltimore to San Joe took 5 hour and covered 3,010 mile. What wa the plane’ average peed?
The plane's average speed is 602 miles/hour.
What is the average speed?
The overall distance the object covers in a given amount of time is its average speed. It can be calculated by:
Average Speed = (Total distance)/(Total Time)
Given, Total distance traveled = 3010 miles
Total time taken = 5 hours
Now, the average speed is given by:
average speed = (3010/5) miles/hour
= 602 miles/hour
Hence, the plane's average speed is 602 miles/hour.
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The product of two positive number is 108. If one one number is treble of other number, find those number
Please help me with this Geometry Question
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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HELP PLEASEEEEEEE!!!!!!!!!!!!!!!!
Anoop is a lawyer. He charges clients $72 per hour for his services. If Anoop charges a client $612, which equation is set up and solved correctly to determine the number of hours (h) Anoop provided legal services? Responses
The equation that can be used to determine the number of hours that Anoop provided legal services is h = $612 / $72 .
What is the equation?
Division is the mathematical process used in grouping a number into equal parts using another number. The result of the division process is known as the quotient. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
In order to determine the number of hours that Anoop provides legal services, divide the total amount that he charges the client by the charge per hour.
Number of hours that Anoop worked = total amount he charges the client / charge per hour
h = $612 / $72
h = 8.5 hours
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Sami is making necklaces for a craft show. each necklace is 33.4 centimeters long. if she has 233.8 centimeters of cord, how many necklaces can Sami make?
Sami can make 7 necklaces from the cord
What is a length?Length is defined as the measurement or extent of something from end to end
To find the number of necklaces Sami can make
We divide the Total centimeter of chord with the centimeter of one cord
Total cord=233.8centimter
Each necklace = 33.4centimeters
Therefore, Total cord/Each necklace
=233.8/33.4
=7necklaces
Hence, Sami can make 7 necklaces from 233.8centimeters of cord
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eight points are chosen on a circle, and chords are drawn connecting every pair of points. no three chords intersect in a single point inside the circle. how many triangles with all three vertices in the interior of the circle are created? asdf
The number of triangles with all three vertices in the interior of the circle that are created Since we have chosen 8 points on a circle and every pair of points is connected with a chord, the total number of chords will be 28 (by choosing any two points from 8 points.
We get the number of chords which is given by the formula $\frac{n(n-1)}{2}$). Also, no three chords intersect in a single point inside the circle. Therefore, every triangle will be formed by selecting 3 chords from the total 28 chords. But, we need to remember that some of these triangles will lie on the circle.
We know that if we choose three points on a circle, then a triangle will lie on the circle. Thus, to find the number of triangles that lie on the circle, we need to choose any three points from 8 points on the circle. Thus, the number of triangles with all three vertices in the interior of the circle that are created is:$$\ large 3520-56=3464$$ Hence, the main answer is 3464.
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Which statement about numbers is true?
All whole numbers are rational numbers.
All rational numbers are integers.
All rational numbers are whole numbers.
All integers are whole numbers. HELP
Answer:
The 2nd one is the answer
Step-by-step explanation:
because All rational numbers are integers
Answer:
i think its B
Step-by-step explanation:
(07.03 MC) Given r = 10i - 5j and s = -2i + 6j, what is r + s?
The sum of vectors r and s is given by r + s = 8i + j. the sum of vectors r and s, we simply add the corresponding components of the two vectors
To find the sum of vectors r and s, we simply add the corresponding components of the two vectors.
Given r = 10i - 5j and s = -2i + 6j, we can add the i-component and j-component separately.
The i-component of the sum (r + s) is obtained by adding the i-components of r and s:
i-component: 10i + (-2i) = 10i - 2i = 8i
The j-component of the sum (r + s) is obtained by adding the j-components of r and s:
j-component: (-5j) + 6j = -5j + 6j = j
Combining the i-component and j-component, we have:
r + s = 8i + j
Therefore, the sum of vectors r and s is given by r + s = 8i + j.
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Find the zeros of F(x) = 256X^4 - 81
Answer:
x=\(\frac{3}{4}\), - \(\frac{3}{4}\)
Step-by-step explanation:
Which student correctly used guess and check to solve for the unknown number?
The difference between a number and five is fifteen.
Answer:
Aida's work is correct
Step-by-step explanation:
5 x 3 = 15 so the difference is 3!
Answer:
Aida's work is correct
Step-by-step explanation: the guy above me is right :)
the endpoints of line GH are G(0,4) and H(-6,2). find the coordinates of the midpoint M
Answer: The point G is G(18,-9)
Step-by-step explanation:
Midpoint:
Write the formula for midpoint of the A(x_1,y_1) and B(x_2,y_2).
[(x_1+x_2)/2,(y_1+y_2)/2]
G(x,y), H(-2,9)
(8,0) =[(x+(-2))/2,(y+9)/2]
(x+(-2))/2 =8
(x+(-2))=16
x-2 =16
x =18
(y+9)/2=0
y+9=0
y=-9
The point G is G(18,-9)
(answer found from user homeworkhelp on mathskey.com)