Answer:
(a) p → q
Step-by-step explanation:
The problem statement tells us that ...
p is false; a rectangle is not a triangleq is true; a rectangle has four sidesTruth tablesThe attachment shows the truth tables for each of the answer choices. When p is false and q is true, the one expression that is true is ...
p → q
When p is false and q is true, the one expression that is true is p → q. Therefore, the correct option is option A.
What is rectangle?All four vertices of a rectangle are 90 degrees apart, making it a type of quadrilateral with parallel sides that are equal to one another. As a result, it is also known as an equilateral quadrilateral. A parallelogram is another name for a rectangle because its opposite sides are parallel and equal.
A square shape is a two-layered level shape. A rectangle can be easily represented in an XY plane because the arms of the x-axis and the arms of the y-axis show the rectangle's length and width, respectively.
p is false; a rectangle is not a triangle
q is true; a rectangle has four sides
When p is false and q is true, the one expression that is true is p → q
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What is 16,850 rounded to the nearest ten thousands
Answer:
20,000
Step-by-step explanation:
To round numbers to the nearest ten thousand, make the numbers whose last four digits are 0001 through 4999 into the next lower number that ends in 0000. For example 54,424 rounded to the nearest ten thousand would be 50,000.
work out m and c for the line: y = 6x
After using equation of line the value of m = 6 and c = 0.
The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.
Given that,
The equation of line
y = 6x
Compare the given equation by the standard equation of line.
y = mx+c
m = 6 and c = 0
Hence, The value of m = 6 and c = 0.
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help plz I think the first one is correct but I'm not sure
The left side 10x+25 is the cost expression for Black Diamond, while the right hand side 5x+50 is for Bunny Hill. The x is the number of hours.
−12 = −0.6k solve for k
Answer:
-20
Step-by-step explanation:
Step-by-step explanation:
-12=-0.6k
divide both sides by -0.6
k=20
lmk if this is right
If J=91 ,L=16 , and K=73 , list the sides of triangle JKL in order from smallest to largest
A. JL, KJ, LK
B. LK, JL, KJ
C. KJ, JL, LK
D. KJ, LK, JL
JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.
How are the angles arranged, from greatest to smallest?JKL, where K is the specified angle, is an example.Acute Angles are the smallest angles. An acute angle is a particular kind of angle that measures less than 90°.an acute angle. The planar surface typically produces obtuse angles.Straight angle. Right angle.Subtract the squares of the other sides, then calculate the square root to determine the shorter side.Reflex angle at its widest point.JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.To learn more about smallest angle refer to:
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What is the MEAN of the data set below?(0.2,0.8,0.4,0.3,0.4,0.4,0.4,0.8,1.3)
Answer:
5/9
Step-by-step explanation:
we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9
Aaron took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2 plus $3.50 per mile. The total fare was $58, not including the tip. Which equation could be used to determine xx, the number of miles in the taxi ride?
Answer:
58 = 3.5x + 2
Step-by-step explanation:
Since $3.50 is charged for every mile, we multiply x by 3.5 like this: 3.5x
$2 is already added on as a free so + 2
$58 is the total amount of money for all of the charges including the per mile and pick-up fee.
This was we can solve for the number of miles, x
58 = 3.5x + 2
- 2 - 2
56 = 3.5x
56/3.5 = 3.5x/3.5
x = 16
The taxi drove a total of 16 miles
Name:
1.
O
a) Is the graph linear?
b) What is the domain?
c) What is the range?
d) What are the x and y intercepts?
e) Does the graph have symmetry? Type?
f) What are the extrema and end behavior? 20 points
The Graph is not linear.
To graph f, we graph the equation y = f(x). To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2−x−6 0 = x2−x−6 0 = (x−3)(x+2) factor x−3=0 or x+2=0 x = −2,3 So we get (−2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x = 0. Using function notation, this is the same as finding f(0) and f(0) = 02 − 0 − 6 = −6. Thus the y-intercept is (0, −6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right. y x f(x) (x, f(x)) −3 6 (−3,6) −2 0 (−2,0) −1 −4 (−1,−4) 0 −6 (0, −6) 1 2 3 4 5 6 7 −3−2−11 2 3 4 1 −6 (1, −6) 2 −4 (2, −4) 3 0 (3, 0) 4 6 (4, 6)
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Geometry
Problem 1
Billy is flying a kite and has let out 110 feet of string. The kite gets tangled on the
roof of a 40-foot tall house.
1. What is the angle of elevation of Billy's kite?
2. How far is Billy from the house?
Hey does this help you by any chance
The table shows the inputs and corresponding outputs for the function f(x) = (1/8)(2)^x
Answer:
yes
Step-by-step explanation:
a taxi driver fills the gas tank and. calculates that the car traveled 356.25 miles using 9.5 gallons of gas how many miles per gallon did the car get?do not enter label,only the number part of the answer
Answer:
37.5 Miles Per Gallon
Step-by-step explanation:
You find the unit rate of miles per gallon by dividing the miles by the gallons
356.25/9.5
= 37.5
Factorise these expressions
a.
\( {x}^{2} + 20x + 19\)
b.
\( {z}^{2} - 2z + 1\)
c.
\(9(x - 1) - 3x\)
Answer:
a. (x+19)(x+1)
b. (z-1)(z-1)
c. 3(2x-3)
Step-by-step explanation:
a. x^2+20x+19
(x+19)(x+1)
b. z^2-2z+1
(z-1)(z-1)
c. 9(x-1)-3x
9x-9-3x
6x-9
3(2x-3)
calculate a 90% confidence interval for a sample mean of 15 with a sample standard deviation of 5 and a sample size of 25. the answer should be accurate to the nearest decimal. given t
The 90% confidence interval for the sample mean is (13.289, 16.711). This means that we can be 90% confident that the true population mean lies within this interval based on the given sample.
To calculate a 90% confidence interval for a sample mean, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
First, we need to determine the critical value for a 90% confidence level. Since we have a sample size of 25, we can use a t-distribution. Consulting a t-table or calculator, for a 90% confidence level and 24 degrees of freedom (sample size minus 1), the critical value is approximately 1.711.
Next, we calculate the standard error using the formula:
Standard Error = Sample Standard Deviation / √(Sample Size)
Plugging in the values, we get:
Standard Error = 5 / √(25) = 1
Now, we can calculate the confidence interval:
Confidence Interval = 15 ± (1.711 * 1) = (13.289, 16.711)
The 90% confidence interval for the sample mean is (13.289, 16.711). This means that we can be 90% confident that the true population mean lies within this interval based on the given sample.
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two 99 percent confidence intervals will be constructed to estimate the difference in means of two populations, r and w. one confidence interval, i9 , will be constructed using samples of size 9 from each of r and w, and the other confidence interval, i81 , will be constructed using samples of size 81 from each of r and w. when all other things remain the same, which of the following describes the relationship between the two confidence intervals?A The width of Ig1 will be the width of Ig. B The width of 1x1 will be the width of Ig. C The width of 181 will be equal to the width of Ig. D The width of 181 will be 3 times the width of Ig. E The width of 181 will be 9 times the width of Ig.
The relationship between the two confidence intervals will be that the width of i81 will be 3 times the width of i9. So, the correct answer is option D.
What are confidence intervals?In statistics, a confidence interval is a range of values that is used to estimate the unknown population parameter. They are used to express the degree of uncertainty associated with a sample estimate of a population parameter.
Two 99 percent confidence intervals are going to be constructed to estimate the difference in means of two populations, r and w. One confidence interval, i9, is going to be constructed using samples of size 9 from each of r and w.
The other confidence interval, i81, is going to be constructed using samples of size 81 from each of r and w. When all other things remain the same, the width of 181 will be 3 times the width of Ig.
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The Willis Tower (formerly known as the Sears Tower) in Chicago is about 1454 feet tall . A model of it has a scale of 2 in = 45 feet. How tall is the model?
1. Let's review the information given to us to answer the question correctly:
Height of the Willis Tower in Chicago = 1,454 feet
Scale of the model = 2 inches : 45 feet height
2. How tall is the height?
For answering that question, we will use the following expression:
Height of the model = Height of the Willis Tower in Chicago/Scale in feet * Scale in inches
Replacing with the real values, we have:
Height of the model = 1,454/45 *2
Height of the model = 32.31 * 2 = 64.62 inches
64.62 inches/12 = 5.39 feet
The model is 64.62 inches of height or 5.39 feet
A company makes a bracelet that is designed to repel mosquitos so people don't have to wear bug spray. Researchers at the company are designing an experiment where volunteers will be assigned either the bracelet or bug spray to use at their homes. The researchers want to use a randomized block design. How should the researchers form the block? (Choose one and explain why, please also explain why other methods wouldn't work).
a. Both the volunteers and researchers should be kept blind as to which block the volunteers are in.
b. Each block should consist of volunteers who live in similar environments when it comes to mosquitos.
c. Each block should consist of volunteers who live in different environments when it comes to mosquitos.
d. Each volunteer should be randomly assigned to a block.
e. Volunteers in one block should use the bracelet, while volunteers in the other block should use bug spray.
The correct answer is b. Each block should consist of volunteers who live in similar environments when it comes to mosquitoes.
Explanation:
In a randomized block design, blocks are formed to control for potential confounding factors or sources of variation that may affect the outcome of the experiment. By forming blocks based on similar environments when it comes to mosquitoes, the researchers ensure that any differences in the effectiveness of the bracelet and bug spray are not solely due to variations in mosquito exposure.
If the researchers were to choose option a (both the volunteers and researchers should be kept blind as to which block the volunteers are in), it would be related to blinding the participants and researchers to the treatment assignment, not forming blocks. This method does not address the need for controlling potential confounding factors.
Option c (each block should consist of volunteers who live in different environments when it comes to mosquitoes) would not be suitable because it would introduce additional variability and make it difficult to compare the effectiveness of the bracelet and bug spray.
Option d (each volunteer should be randomly assigned to a block) is not recommended in this case because it does not take into account potential confounding factors related to mosquito exposure.
Option e (volunteers in one block should use the bracelet, while volunteers in the other block should use bug spray) does not control for potential confounding factors, as individuals in different blocks may have different levels of mosquito exposure.
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Let f be the function defined by f(x)=x3 x. If g(x)=f−1(x) and g(2)=1, what is the value of g′(2)?.
Answer:
1/6
Step-by-step explanation:
Given the function
f(x)=x^3+x^2+x
Get the inverse. Let y = f(x)
y = x^3+x^2+x
Replace y with x
x = y³+y²+y
Differentiate with respect to x
1 =3y²dy/dx + 2ydy/dx + dy/dx
1 = (3y²+2y+1)dy/dx
dy/dx = 1/3y²+2y+1
g'(x) = 1/3(g(x))²+2g(x)+1
If x = 3
g'(3) = 1/3(g(3))²+2g(3)+1
g'(3) =1/3(1)²+2(1)+1
g'(3) = 1/3+2+1
g'(3) = 1/6
Hence g'(3) = 1/6
is 6/3*6=18 true or false?
Answer:
false
Step-by-step explanation:
6/3 is 2 and that times 6 is 12 not 18
Answer:
nope its 12 g
Step-by-step explanation:
write the equation in spherical coordinates. (a) x2 + y2 + z2 = 81
The equation in spherical coordinates is:
\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)
What is Equation in Spherical Coordinates?
A mathematical equation that is represented in terms of the spherical coordinates of a point is known as an equation in spherical coordinates. A three-dimensional coordinate system known as spherical coordinates makes use of two angles, typically represented by symbols and a radial distance (r), and a coordinate system to find points in space.
\($r^2 = 81$\)
To represent the equation in spherical coordinates, we substitute the Cartesian coordinates \($x = r\sin(\phi)\cos(\theta)$, $y = r\sin(\phi)\sin(\theta)$, and $z = r\cos(\phi)$\) into the equation. After substitution and simplification, we have:
\($r^2\sin^2(\phi)\cos^2(\theta) + r^2\sin^2(\phi)\sin^2(\theta) + r^2\cos^2(\phi) = 81$\)
Since \(r^2 = 81,\) we can substitute it into the equation:
\($81\sin^2(\phi)\cos^2(\theta) + 81\sin^2(\phi)\sin^2(\theta) + 81\cos^2(\phi) = 81$\)
Finally, we divide the equation by 81 to simplify:
\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)
So, the equation in spherical coordinates is:
\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)
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you and a friend are making jewelry for your friends. Bracelets cost $2.25 to make and
you spent $21.50 on supplies for necklaces. You only have $45 total to spend on supplies. Can you make bracelets for at least 10 friends? Explain your reasoning and show your work.
The fact that $45 is enough to make bracelets for 10.44 persons means that the we can make bracelets for 10 friends
What is the total necklace cost function?
The total cost of necklaces that can be made within the total budget of $45 can be modeled using a straight-line equation, which considers the fixed cost of necklace supplies of $21.50 and the total variable cost of supplies, the cost per necklace multiplied by the total number of necklaces possible, defined as x
45=21.50+2.25x
let solve for x to determine whether we can make bracelets for 10 friends
45-21.50=2.25x
23.50=2.25x
x=23.50/2.25
x=10.44
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A sprinkler that sprays water in a circular area can spray up to a radius of 22ft what is the maximum area of lawn that can be watered by the sprinkler use 3.14 to approximate date for Pie enter your answer as a decimal rounded to the nearest tenth in the Box
[ ] ft^2
To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:
A = πr^2
Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:
A = 3.14 * (22)^2
A ≈ 3.14 * 484
A ≈ 1519.76
Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
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What are the zeros of f?
A graph of f(x) = 6x2 - 11x + 3 is shown on the grid.
A 3
A
B
2 and 9
C
1 1/2 품
11
12
1
IX
6
1
2
3
4
5
-6 -5 -4 -3 -2 -1
D
and
1 2 3 4
Answer:
x= 1/3 , 3/2
step by step
that should be the right answer
See Picture below. Thanks
Answer:
The angle of DGC is 90 degrees
the value of x is positive 8
Step-by-step explanation:
xoxo brooke
If n is proportional to M squared and n) 27 when m=3 what is the formula for n in terms of M and what is the value of n given m=6
Answer:
n=9M, when m is 6,n=18
Step-by-step explanation:
If n is proportional to M
n=kM
27=3k
k=27/3
k=9
the formula on terms of n and M is
n= 9M
2) If m= 6,
n= 3M
n=3(6)
n=18
Answer:
n = 108
Step-by-step explanation:
given n is proportional to m² then the equation relating them is
n = km² ← k is the constant of proportion
to find k use the condition n = 27 when m = 3 , then
27 = k × 3² = 9k ( divide both sides by 9 )
3 = k
n = 3m² ← equation of proportion
when m = 6 , then
n = 3 × 6² = 3 × 36 = 108
The cost after the coupon is $21. 25 she decides to add a 20% tip. How much is she adding for a tip
If the cost after the coupon is $21.25 and she decides to add a 20% tip, she will be adding $4.25 for the tip.
Find out how much a 20% tip would be on a cost of $21.25 after applying a coupon.
Identify the total cost after the coupon.
In this case, the cost is $21.25.
Determine the percentage for the tip.
The tip percentage is given as 20%.
Convert the percentage to a decimal.
To do this, divide the percentage by 100. So, 20% divided by 100 is equal to 0.2.
Multiply the total cost by the tip percentage in decimal form.
Now, multiply $21.25 (total cost) by 0.2 (tip percentage as a decimal).
$21.25 x 0.2 = $4.25
Calculate the tip amount.
The tip amount is $4.25.
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Find the balance in an account at the end of 12 years if $4000 is invested at an interest rate of 9% that is compounded continuously
Answer:
7250.66
Step-by-step explanation:
list all of the elements of the set (multiples of 4 less than 20)
Answer:
A(4,8,12,16) is the answer
let and be points in the plane. define as the region in the first quadrant consisting of those points such that is an acute triangle. what is the area of the region ?
The area of the region is (3/4)ab.
Given: Let A and B be points in the plane. The region S is defined in the first quadrant consisting of those points such that ∆ABC is an acute triangle.
In a coordinate plane, let A be (0,a) and B be (b,0).
Let C be a point (x,y) in the first quadrant so that the ∆ABC is acute.
Then the slope of AB is -a/b and the slope of AC is y/x.
The angle ∠BAC is acute if and only if -a/b . y/x < -1, i.e. ab > xy.
Since we want the region in the first quadrant consisting of those points such that ∆ABC is an acute triangle, we need to graph the set of all points in the first quadrant that satisfy the inequality ab > xy.
Area of the region S = area of first quadrant - area of shaded region
Area of first quadrant = a * b
Area of shaded region = (1/2) * b * a/2 = ba/4
Thus, the area of the region S is given by a*b - ba/4 = (3/4)ab
Therefore, the area of the region is (3/4)ab.
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What is the mean of the given distribution, and which type of skew does it exhibit?
Since 3 has the highest frequency, the mode is 3.Now, the curve is positively skewed if mean is bigger than mean.
Describe total number?Total number is a term used to refer to the sum of two or more individual elements. It is commonly used in the context of mathematics and can refer to the result of addition, subtraction, multiplication, or division. For example, the total number of apples in a basket could be five, the total number of days in a week could be seven, and the total number of people in a family could be four. In any case, the total number is the sum of all the individual elements that are being considered.
Presented to us is a distribution:
{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
We must determine the mean.
Mean is equal to the sum of all observations divided by the total number of observations.
Mean = 52/16
Mean = 3.25
We now determine the mode, which is the observation with the highest frequency, or how frequently it has occurred.
observations per unit of time
4.5 2
3 4
1 2
2 3
4 3
6 1
5 1
Since 3 has the highest frequency, the mode is 3.
Now, the curve is positively skewed if mean is bigger than mean.
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Complete questions as follows-
What is the mean of the given distribution, and which type of skew does it exhibit?
{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
WHAT IS THE MEAN? and WHAT TYPE OF SKEW EXHIBITS? negative, positive, symmetric, zero etc..
En una circunferencia señalamos diez puntos. ¿Cuál es la diferencia entre el número de heptágonos y el de triángulos cuyos vértices son algunos de esos puntos?
Answer:
ok wirrudi 123 alf8 434 21 3dis w