Answers
Answer:
D. r ≤ − 1
good luck, i hope this helps :)
Answer:
Step-by-step explanation:
Hello,
1. Follow PEMDAS, for instance, which is Parentheses, Exponents, Mult., Div., and so on.
This will help you simplify on each side of the inequality sign.
2. Signs of inequalities will switch (> becomes <, and < becomes >) when dividing by a negative number on both sides of an inequality.
Try to work with this first. If you need more help, let me know.
Related Questions
: How many different 6-letter words can be made a. if the first letter must be E, W, or Q and no letter may be repeated? b. if repeats are allowed (but the first letter is E, W, or Q)? c. How many of the 6-letter words (starting with E, W, or Q) with no repeats end in R?
Answers
Total number of 6 letter words starting with E, W, or Q (repeats allowed)= 3 × 26^5= 10155936.Total number of 6 letter words starting with E, W, or Q and with no repeatedlett ers= 3 × 23C5= 3 × 33649= 10094.
In this case, the first letter must be E, W, or Q and no letter may be repeated.To form a 6 letter word from these, first, choose any one letter from E, W, or Q which can be done in 3 ways.
Then, choose 5 letters from the remaining 23 letters which can be done in 23C5 ways.So, the main answer is:Total number of 6 letter words starting with E, W, or Q and with no repeatedlett ers= 3 × 23C5= 3 × 33649= 10094.
In this case, the first letter must be E, W, or Q and repeats are allowed.
To form a 6 letter word from these, first, choose any one letter from E, W, or Q which can be done in 3 ways. Then, the remaining 5 letters can be chosen from the remaining 26 letters (including E, W, and Q) which can be done in 26^5 ways.
So, the main answer is:Total number of 6 letter words starting with E, W, or Q (repeats allowed)= 3 × 26^5= 10155936
In this case, we have to count the number of 6 letter words (starting with E, W, or Q) with no repeats end in R.To form such a word, first, the letter R has to be the last letter.
This can be done in 1 way. Now, there are only 22 letters remaining (excluding R and any one of E, W, and Q which is the first letter).From these, choose 4 letters which can be done in 22C4 ways.
Also, the first letter can be any one of E, W, or Q which can be done in 3 ways.So, the main answer is:Total number of 6 letter words starting with E, W, or Q with no repeats end in R= 3 × 22C4= 3 × 7315= 21945.
The total number of different 6-letter words can be made in three different cases; if the first letter must be E, W, or Q and no letter may be repeated, the total number of 6 letter words is 100947, if repeats are allowed (but the first letter is E, W, or Q), the total number of 6 letter words is 10155936, and if the 6 letter words (starting with E, W, or Q) with no repeats end in R, the total number of 6 letter words is 21945.
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awscalculate mse for each region. is the variability·around the fitted regression line approxi- mately the same for the four regions? discuss.
Answers
In order to calculate the Mean Squared Error (MSE) for each region, you will need to have a dataset with values for each region.
Once you have this dataset, you can calculate the MSE using the following formula:
MSE = 1/n x ∑(yi - ŷi)²
where n is the number of data points in the region, yi is the actual value for the ith data point, and ŷi is the predicted value for the ith data point. Once you have calculated the MSE for each region, you can compare the values to determine if the variability around the fitted regression line is approximately the same for each region.
If the MSE values are similar for each region, then the variability around the fitted regression line is approximately the same. If the MSE values are different for each region, then the variability around the fitted regression line is not the same for each region.
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Help me shoe work on this question please
Answers
The line /TV/ that we have been asked to find from the information is the question is obtained as 7.
What is the sine rule?The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.
We know that the missing angle U is obtained from;
180 - (58.3 + 80)
= 41.7°
Then;
8.9/Sin 58.3 = /TV//Sin 41.7
/TV/ = 8.9 Sin 41.7/Sin 58.3
/TV/ = 5.9/0.85
= 7
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Figure A is a scale image of figure B.
Figure A
10.5
Figure B
2
Figure A maps to figure B with a scale factor of
3
What is the value of x?
PLSSS HURRYYYYY
Answers
10.5*(2/3)=7
I’m not sure myself but following the logic it should be this, hope it helps :)
Please help explanation if possible
Answers
$g? Gggzb d
Answer:
Hello,
Step-by-step explanation:
slope of the line=3/7
slope of the perpendicular = -7/3
equation of the perpendicular:
y-3=(x-3)*(-7/3)
or
y=-7/3*x +7+3
or
y=-7/3*x+10
Lines AB and CD (if shown) are straight lines. Find x .
Answers
By using properties of angles, it is obtained that
x = 20°,
What is an Angle?
When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.
Here,
\(m\angle DOB =m\angle DOE +m\angle EOB\) [ Addition of two angles]
\(m\angle DOB =90+x\) [ Substitution]
\(m\angle AOC = m\angle DOB\) [Vertically opposite angle]
\(110 = 90 + x\) [ Substitution]
\(x = 20^{\circ}\) [Algebra]
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In a recent algebra 2 class, davis and his team did a lab in which they sharpened pencils to different lengths and weighed them. they were to investigate the relationship between the length of weight the painted part of the pencil to the weight of the pencil (sound familiar?).
Answers
The y-intercept is unlikely to be zero, as pencils have a certain weight even if there is no painted part.
In this experiment, the independent variable is the length of the painted part of the pencil, and the dependent variable is the weight of the pencil. When graphing the relationship between these variables, the y-intercept represents the weight of the pencil when the length of the painted part is zero.
Since pencils have a certain weight even if there is no painted part, it is unlikely that the y-intercept would be zero. It is possible that the y-intercept could be close to zero, but it would depend on the specific pencils being used in the experiment. It is important to note that the y-intercept alone does not determine the validity or usefulness of the relationship between the variables being investigated.
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The give question is incomplete, the complete question is:
In a recent algebra 2 class, Davis and his team did a lab in which they sharpened pencils to different lengths and weighed them. they were to investigate the relationship between the length of weight the painted part of the pencil to the weight of the pencil (sound familiar?). should the y intercept be zero ?
sketch the curve with the given polar equation. θ = −π/6
Answers
We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).
In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.
Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.
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What value of m would make parallelogram wxyz a square.
Answers
To make parallelogram WXYZ a square, the value of m should be 90 degrees.
A square is a special type of parallelogram in which all angles are right angles (90 degrees). In a parallelogram, opposite angles are congruent, which means they have the same measure. To transform the parallelogram WXYZ into a square, we need to make sure that all angles of the parallelogram are right angles.
By setting m = 90 degrees, we ensure that all four angles of parallelogram WXYZ are right angles. This condition will make the parallelogram into a square. A square has congruent sides and diagonals that bisect each other at right angles.
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the polygons in each pair are similar. find the scale factor of the smaller figure to larger figure.
Answers
Answer:
Scale factor = \(\frac{1}{2}\)
Step-by-step explanation:
From the picture given in the question,
If the larger figure is dilated to form the smaller figure,
Scale factor by which a figure is dilated with is determined by the expression,
Scale factor = \(\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}\)
= \(\frac{3}{6}\)
= \(\frac{1}{2}\)
Simplify 3(-6+8i)-(2-12i)
Answers
Answer:
-20+12i
Step-by-step explanation:
(-18+24i)-(2-12i)
-20+24i-12i
-20+12i
i = -1.666 or -1 and 2/3
Answer:
-20+11i
Step-by-step explanation:
3(-6+8i)-1 (2-12i)
-18+24i -2-13i
-20+11i
a medical researcher surveyed a large group
Answers
The probability that the person selected will be someone whose response is never and who is a woman is 0.0636 = 6.36%.
A probability of an occurrence in the context of a problem is calculated by dividing the desired outcomes in the problem by the entire number of outcomes in the problem.
In the context of this problem, these outcomes are given as follows:
Desired outcomes: people whose response is never and who are women.
Total outcomes: all participants.
Hence, as all participants represent the desired outcomes, the probability that the person selected will be someone whose response is never and who is a woman is the relative frequency of people who are women and who respond never, which is: 0.0636 = 6.36%.
Missing question:
(Refer to the image for the complete question)
One person surveyed will be selected at random:
What is the probability that the person selected will be someone whose response is never and who is a woman?
What is the probability that the person selected will be someone whose response is never 0r who is a woman?
What is the probability that the person selected will be someone whose response is never given and that the person is a woman?
For the people surveyed are the events of being a person whose response is never and being woman independent?
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a worker A finishes a project on his own in 12 days. the worker completes the same work alone in 16 days. the two workers started working together, but after 3 days A leaves and B. continues on his own. How many days will B need to finish the rest of the work?
Answers
Answer:
Worker B needs 9 days to finish the rest of the work
Step-by-step explanation:
Proportions
Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.
Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do
\(\frac{1}{12}+\frac{1}{16}=\frac{7}{48}\)
After 3 days they have completed:
\(3*\frac{7}{48}=\frac{7}{16}\)
parts of the project, this means it still remains:
\(1-\frac{7}{16}=\frac{9}{16}\)
parts of the project and it is done by B alone. Since B does \(\frac{1}{16}\) per day, he now takes
\(\displaystyle \frac{\frac{9}{16}}{\frac{1}{16}}=9\)
days to complete the project.
Worker B needs 9 days to finish the rest of the work
please hurry in test rn! dont reply if you not giving answer
Answers
Answer:
The slope is 3 and the y-intercept is -5
If you need to y-intercept in coordinate form, then it's (0, -5)
Step-by-step explanation:
y = mx + b, the m is the slope and the b is the y-intercept
Answer:slope is 3. Y-intercept is 5
Step-by-step explanation: y=mx+b, m is slope and b is y-intercept
Square root of
3a^2/10b^6
Answers
Answer:
Step-by-step explanation:
Rewrite
3
a
2
10
b
6
as
(
a
b
3
)
2
3
10
.
√
(
a
b
3
)
2
3
10
Pull terms out from under the radical.
a
b
3
√
3
10
Rewrite
√
3
10
as
√
3
√
10
.
a
b
3
⋅
√
3
√
10
Combine.
a
√
3
b
3
√
10
Multiply
a
√
3
b
3
√
10
by
√
10
√
10
.
a
√
3
b
3
√
10
⋅
√
10
√
10
Combine and simplify the denominator.
√
3
√
10
b
3
⋅
10
Simplify the numerator.
Tap for more steps...
a
√
30
b
3
⋅
10
Move
10
to the left of
b
3
.
a
√
30
10
b
3
Step-by-step explanation:
\({ \tt{ \sqrt{ \frac{3 {a}^{2} }{10 {b}^{6} } } }} = { \tt{ \frac{ {(3a {}^{2}) }^{ \frac{1}{2} } }{ {(10b {}^{6} )}^{ \frac{1}{2} } } }} \\ \\ = { \tt{ \frac{a \sqrt{3} }{ {b}^{3} \sqrt{10} } }} \\ \\ = { \tt{ \frac{a \sqrt{3} }{ {b}^{3} \sqrt{10} } }}\)
PLS ANSWER !! QUICKLY !!
Answers
Answer:
Step-by-step explanation:
A). In this case, the five-number summary of the data set would be:
Minimum: 16
Q1 (also known as the lower quartile): 22
Median: 25
Q3 (also known as the upper quartile): 43
Maximum: 50
B.) are those the only two box plots listed?
the points of this 3-by-3 grid are equally spaced horizontally and vertically. how many different sets of three points of this grid can be the three vertices of an isosceles triangle?
Answers
The number of different sets of three points of this grid can be the three vertices of an isosceles triangle is 36.
An isosceles triangle is one with two equal sides. The two angles that face the two equal sides are also equal. An isosceles triangle, in other words, is a triangle whose two sides are equal in length.
By using the Permutation formula,
Number of isosceles triangle to be formed is,
9!/(7!x2!) = 9x8x7!/7!x2!
= 9x8/2
= 36
So number of isosceles triangle that can be formed of this 3-by-3 grid is 36.
When a square is described as a 3 x 3 Magic square, it has three rows and three columns. An illustration of a 3 by 3 magic square with the magic constant.
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pt=3x+3 and tq=5x-7
pt=
Answers
Answer:
3x+7=5x-7
Subtract 3x on both sides, 7= 2x-7
Add 7 on both sides, 14=2x
Divide 2 on both sides, x=7
Find the function which is parallel to y = 2x + 9.
5x-2y=8
O 7x+2y = 14
4y - 8x = 24
All of the choices
Answers
Answer:
4y - 8x = 24
Step-by-step explanation:
4y -8x = 24 Add 8x to both sides
4y = 8x + 24 Divide both sides by 4
y = 2x + 6
This slope is 2 which would great a line parallel to y = 2x + 9
Desmos is a free program that can help you graph. See the picture below. You just type in the equation and it graphs it for you. Cool
evaluate the expression for z = -3
-15 -6z = ?
Answers
Answer:
3
Step-by-step explanation:
-15+18=3
:)
Answer:
z=3
Step-by-step explanation:
-15-6(-3)
-15+18
3
the integral jest to show that the series below converges. Then: 1. Find an upper bound for R₁, the remainder, in terms of n; 2. Find how many terms are needed to ensure that the remainder is less t
Answers
Now, we will test the convergence of the series. For that, we will apply the Integral Test. To apply the Integral test, we need to compare this series with the integral of the function .
Putting the values in the integral: Since the integral is convergent, so the given series is also convergent. Now, we will find an upper bound for R₁ in terms of n. To do this, we will use the formula of the remainder is a decreasing function, so we can apply the Integral test again.
Next, we will find how many terms are needed to ensure that the remainder is less than 0.001.To find the number of terms, we need to find n, such that Thus, we need at least n = 2 terms to ensure that the remainder is less than 0.001. Now, we will test the convergence of the series. For that, we will apply the Integral Test.
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A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft. what is the period of simple harmonic motion?
Answers
The period of simple harmonic motion is T = 4.19 seconds:
For given question,
A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft.
So, we have mass (m) = 16 pounds
spring constant (k) = 36 lb/ft.
Let T be the period of simple harmonic motion.
Using the formula for the period of simple harmonic motion,
⇒ T = 2π√(m/k)
⇒ T = 2 × π × √(16/36)
⇒ T = 2 × π × √(0.444)
⇒ T = 2 × π × 0.666
⇒ T = 1.333 × π
⇒ T = 4.19 seconds
Therefore, the period of simple harmonic motion is T = 4.19 seconds
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Which equation represents the same proportional relationship as the graph? On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6). Group of answer choices y = five-thirds x x y = three-fifths y = three-fifths x x y = five-thirds
Answers
Based on the line and the points that it goes through, the equation with the same proportional relationship as the graph is y = three-fifths x.
How to find the relationship of the graph?To find the relationship of the points on the line in the coordinate plane, you need to find the slope of the line. The slope can be found by the formula:
= Change in y / Change in x
Solving for the slope gives:
= (3 - 0) / (5 - 0)
= 3 / 5
For equations to be proportional, they need to have the same slope. With the slope of the line being 3/5, the equation that would have the same proportional relationship is:
y = 3/5x
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There is a probablity of ____ that any individual at a random from
a population will fall (plus or minus) one standard deviation of
the mean.
Answers
Step-by-step explanation:
I hope this answer is helpful ):
Using the following set of data (the same as in the previous problem), find the sample standard deviation: 12,7,6,4, 11 Select the correct answer below. O 3.4 O 6.4 O 9.4 O 8.4 O 5.4
Answers
The sample standard deviation of 12,7,6,4 and 11 will be 3.4.
According to the question,
We have the following set of data:
12,7,6,4 and 11
Now, we know that the following formula is used to find the sample standard deviation for a set of data:
Sample standard deviation = \(\sqrt[]{\frac{sum of (xi - mean)^{2} }{n-1} }\)
whereas n is the number of data set and xi is the different numbers of the data set
Number of scores in data set = 5
So, we have the mean:
(12+7+6+4+11)/5
40/5
8
Now, subtracting each number from the mean:
12-8 = 4
7-8 = -1
6-8 = -2
4-8 = -4
11-8 = 3
Now, we will square these numbers:
4*4 = 16
-1*-1 = 1
-2*-2 = 4
-4*-4 = 16
3*3 = 9
Now, we have the following step for sample standard deviation:
(16+1+4+16+9)/(5-1)
46/4
11.5
Now, the square root of this number will be final answer:
\(\sqrt{11.5}\)
3.4
Hence, the correct option is A.
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Find an equation for the plane that passes through the point (3,8,3) and contains the line given by x=6+4t,y=6+3t,z=8+1t Find an equation for the line where the planes 5y+z=−7 and 4x+5y−6z=−28 intersect.
Answers
This represents the line of intersection between the planes 5y + z = -7 and 4x + 5y - 6z = -28 in parametric form.
To find an equation for the plane that passes through the point (3, 8, 3) and contains the line given by x = 6 + 4t, y = 6 + 3t, z = 8 + t, we can use the point-normal form of the equation for a plane.
First, let's find the direction vector of the line. Since the line is given by parametric equations, the coefficients of t will give us the direction vector. In this case, the direction vector is <4, 3, 1>.
Next, we need to find the normal vector of the plane. Since the plane contains the line, the normal vector of the plane will be perpendicular to the direction vector of the line. We can find the normal vector by taking the cross product of the direction vector and any vector that lies in the plane. Let's choose two points on the line, for example, when t = 0 and t = 1.
When t = 0, the point on the line is (6, 6, 8), and when t = 1, the point on the line is (10, 9, 9). Using these points, we can find two vectors lying in the plane: v1 = <10 - 6, 9 - 6, 9 - 8> = <4, 3, 1> and v2 = <6 - 6, 6 - 6, 8 - 8> = <0, 0, 0>. Note that v2 is the zero vector since it is the difference between the same point.
Now, we can find the normal vector by taking the cross product of v1 and v2:
n = v1 x v2 = <4, 3, 1> x <0, 0, 0> = <0, 0, 0>.
The resulting normal vector is the zero vector, which means the direction vector and normal vector are parallel, indicating that the line and the plane are coincident.
Therefore, the equation for the plane that passes through the point (3, 8, 3) and contains the line x = 6 + 4t, y = 6 + 3t, z = 8 + t is 0x + 0y + 0z = 0, which simplifies to 0 = 0.
Now, let's find the equation for the line where the planes 5y + z = -7 and 4x + 5y - 6z = -28 intersect. To find the intersection, we need to solve the system of equations formed by the two planes.
5y + z = -7 (Equation 1)
4x + 5y - 6z = -28 (Equation 2)
To eliminate one variable, let's multiply Equation 1 by 6 and Equation 2 by 5, and then add them:
30y + 6z = -42 (Equation 3)
20x + 25y - 30z = -140 (Equation 4)
Now, let's eliminate y by multiplying Equation 3 by 25 and Equation 4 by 6, and then subtract them:
750y + 150z = -1050 (Equation 5)
-120x - 150y + 180z = 840 (Equation 6)
Adding Equation 5 and Equation 6, we get:
-120x + 330z = -210
Dividing by 30, we have:
-4x + 11z = -7
This equation represents the intersection line of the planes 5y + z = -7 and 4x + 5y - 6z = -28. Therefore, the equation for the line of intersection is:
-4x + 11z = -7
To express the equation in parametric form, we can solve for one variable in terms of the other. Let's solve for x:
-4x = -11z - 7
x = (11z + 7) / 4
Similarly, let's solve for z:
z = z (keeping z as a parameter)
Now, we can express the equation in parametric form:
x = (11z + 7) / 4
y = y (keeping y as a parameter)
z = z
This represents the line of intersection between the planes 5y + z = -7 and 4x + 5y - 6z = -28 in parametric form.
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a data set is symmetrical with a mean of 100 and a standard deviation of 5. About what percent of the data is between 90 and 105?
Answers
Here, we want to know the percentage that is 1 standard deviation above the mean and 1 standard deviation below the mean
Planes A and B intersect in line s. If point Vis a point on line s, then it lies on:
O plane A only
plane B only
both plane A and B
neither plane A or B
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that planes A and B intersect in line s.
It means, all points lie on the line s must be lie on both plane A and B because s is the line of intersection of both plane A and B.
It is given that V is a point on line s.
Since, the point V lies on line s, therefore it is also lies on both plane A and B.
Hence, the correct option is C.
$22 haircut; 20% tip
help..
Answers
Answer:
20% tip = $4.40; total = $26.4
Step-by-step explanation:
20 % = 0.20 ------> 22 * 0.20 = 20% of 22
20% of $22.00 = $4.40
total = $22.00 + $4.40
total = $26.40
Reflect about the line x=5
Answers
Step-by-step explanation:
sori po kailangan ko po ng points sori po talaga