Answer:
B. )r ≤ −24. 32
Step-by-step explanation:
find the image point when the indicated transformation is applied to the given pre-i
image point
The image point of the point is (-12,8)
How to determine the image pointA dilation is a transformation that changes the size of a figure but not its shape.
In a dilation with respect to the origin, a point (x, y) is transformed to a point (kx, ky) where k is a scale factor.
In this case, the point (-3, 2) is transformed under a dilation of 4 with respect to the origin.
So the image point is (kx, ky) = (-34, 24) = (-12, 8)
So the image point of (-3,2) under a dilation of 4 with respect to the origin is (-12,8)
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Complete question
find the image point when the indicated transformation is applied to the given pre-image point
(-3,2) under a dilation of 4 with respect to the origin
Which sport is the most popular in
the word?
Answer:
Football/Soccer
The simple sport of soccer only needing a ball and two goals, is a fun easy game to do. And nationally, soccer has the most positive impact on people
Answer:
association football also known as soccer
Question 9 of 10
How many dimensions does a point have?
OA. Zero
B. Two
C. Three
D. One
SUB
Answer: A
Step-by-step explanation: took the quiz got it right
12y x 7.5 So what do you think the answer is?
Answer:
I believe it's 90y
Step-by-step explanation:
12 × 7 = 84, then you add 6, which is half of 12, to get 90.
Please let me know if I'm wrong.
When testing the differences between means, the _____ hypothesis suggests that population means are not equal.
Answer: Research
Step-by-step explanation:
kim averages 3km/h in her wheelchair. how many kilometers can her wheelchair in 20 minutes
Answer: 1 km
Step-by-step explanation: For this question, you need to first convert the 20 minutes into hours. You know that an hour is 60 minutes, so dividing 20 by 60 leaves you with 1/3 of an hour. The question says that she can go 3 km/h in her wheelchair, so 3 x 1/3 = 1 km.
Simple math problem
*Multiple choice*
Answer:
I believe its A
Step-by-step explanation:
Found the answer and its A, good luck.
Drag the tiles to the correct boxes to complete the pairs.
Match each equation with its solution. Log(x-1)+log5x=2
Answer:
see attached
Step-by-step explanation:
We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.
__
The applicable rules of logarithms are ...
log(a) +log(b) = log(ab) . . . for logs of any baselog(a) = b ⇔ 10^b = aln(e^a) = alog(a) = log(b) ⇔ a = b . . . . for a > 0 and b > 0We can apply these rules to the given expressions to solve for x algebraically.
__
log(x-1) ...Taking antilogs, we have ...
(x -1)(5x) = 10^2 = 100
x(x -1) = 20 . . . . . . . . . . . divide by 5
x² -x -20 = 0 . . . . subtract 20, put in standard form
(x -5)(x +4) = 0 . . . . factor
x = 5 or x = -4 . . . . . . the latter is an extraneous solution
x = 5 only
__
ln(x +5) ...Taking antilogs, we have ...
x +5 = (x +1)(x -1)
x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form
(x -3)(x +2) = 0 . . . . factor
x = 3 or x = -2 . . . . . . the latter is an extraneous solution
x = 3 only
__
e^x² ...Taking natural logarithms, we have ...
x² = 4x +5
x² -4x -5 = 0 . . . . . write in standard form
(x -5)(x +1) = 0 . . . . factor
x = 5 or x = -1 . . . . values that make the factors zero
__
log₄(5x² ...Taking antilogs, we have ...
5x² +2 = x +8
5x² -x -6 = 0 . . . . . write in standard form
(5x -6)(x +1) = 0 . . . . factor
x = 6/5 or x = -1 . . . . values that make the factors zero
_____
Additional comment
A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)
We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.
Do the lines given by the equations below intersect at the point (4,-6)? Explain why or why not.
2x - y = 14
x - 3y = 22
A. No, (4, -6) is not a point of intersection because it is not a solution to x - 3y = 22.
B. Yes, (4, -6) is a point of intersection because it is a solution to both equations.
C. No, (4 ,-6) is not a point of intersection because it is not a solution to 2x - y = 14.
D. No, (4, -6) is not a point of intersection because it is not a solution to either equations.
Answer:
B. Yes, (4, -6) is a point of intersection because it is a solution to both equations.
Step-by-step explanation:
In order to find if a certain point exists on a line or not, we can simply substitute in the values, and see if the result is valid. Here we are given the point (4,-6), this means our x=4 and our y=-6. If this point lies on a line, then substituting in the values should result in a valid equation. Let's try the first one:
2x-y=14
2(4)-(-6)=14
8+6=14
14=14
This equation is valid which means the point (4,-6) is indeed a point on the first given line equation.
Now for the second one:
x-3y=22
(4)-3(-6)=22
4+18=22
22=22
This is also a valid equation meaning the point (4,-6) also exists on the second line equation. Since this point exists on both lines, they will intersect each other on a graph. Therefore the best answer here is B. Yes, (4, -6) is a point of intersection because it is a solution to both equations.
Hope this helped!
What is the slope of the data from the table?
х
11
15
19
у
2
10
18
Answer:
first it's adding 4 then it starts adding 8
Step-by-step explanation:
Answer:
If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate
X = 11 15 19
Y = 2 10 18
m = (y2 -y1)/(x2 - x1)
m = (10 - 2)/(15 - 11)
M = 8/4 = 2
I hope you find this useful.
If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate
X = 11 15 19
Y = 2 10 18
m = (y2 -y1)/(x2 - x1)
m = (10 - 2)/(15 - 11)
M = 8/4 = 2
I hope you find this useful.
Step-by-step explanation:
Questions are from: Gerald and Wheatly, Applied Numerical Analysis 1) 10. A sky diver jumps from a plane, and during the time before the parachute opens, the air resistance is propor- tional to the power of the diver's velocity. If it is known that the maximum rate of fall under these condi- tions is 80 mph, determine the diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2. Neglect horizontal drift and assume an initial velocity of zero.
The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
Given data: Initial velocity, u = 0 ft/sec
Acceleration, a = g = 32.2 ft/sec²
The maximum rate of fall, vmax = 80 mph
Time, t = 2 seconds
Air resistance constant, Ar = 0.2
We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.
The governing equation for the velocity of the skydiver is given by the following:
ma = -m * g + k * v²
where, m = mass of the skydive
r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.
The equation can be written as,
v' = -g + (k / m) * v²
Here, v' = dv/dt = acceleration
Hence, the modified Euler's formula for the velocity can be written as
v1 = v0 + h * v'0.5 * (v'0 + v'1)
where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²
As the initial velocity of the skydiver is zero, we can write
v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))
v1 = 62.732 mph
Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
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Hong sells 50.5 ounces of lemonade for a total of $20.20. Find the unit price in dollars per ounce. If necessary, round your answer to the nearest cent.
To get the unit price, divide the price for 50.5 ounces of lemonade by those 50.5 ounces, as following:
\(\frac{20.20\text{ dollars}}{50.5oz}\rightarrow0.40\text{ dollars per ounce}\)This way, we can conclude that each ounce costs $0.40
A calculator is broken so that the only keys that still work are the sin, cos, tan, cot, sin^-1, cos^-1, and tan^-1 buttons. The display initially shows 0. In this problem, we will prove that given any positive rational number q, show that pressing some finite sequence of buttons will yield q. (Assume that the calculator does real number calculations with infinite precision. All functions are in terms of radians.)
(a) Find a sequence of buttons that will transform x into 1/x.
(b) Find a sequence of buttons that will transform sqrt(x) into sqrt(x+1).
A calculator is broken so that the only keys that still work are the \sin, \cos, \tan, \cot, \sin^{-1}, \cos^{-1}, and \tan^{-1} buttons. The display initially shows 0. In this problem, we will prove that given any positive rational number q, show that pressing some finite sequence of buttons will yield q. (Assume that the calculator does real number calculations with infinite precision. All functions are in terms of radians.)
(a) Find a sequence of buttons that will transform x into \frac{1}{x}.
(b) Find a sequence of buttons that will transform \sqrt x into \sqrt{x+1}.
(c) Now show that you can get any positive rational number.
Trigonometric relations can be used to transform p to q.
To transform x into 1/x, you can press the following sequence of buttons:
1. Press the sin button.
2. Press the cos^-1 button.
3. Press the tan button.
To transform \(\sqrt[2]{x}\) to \(\sqrt[2]{x+1}\), you can press the following sequence of buttons:
1. Press the sin^-1 button.
2. Press the cos button.
3. Press the tan button.
To show that you can get any positive rational number, you can use the fact that any positive rational number can be expressed as a ratio of two positive integers, say p and q. Then, you can press the following sequence of buttons:
1. Press the sin button q times.
2. Press the cos button p times.
3. Press the tan button.
By pressing this sequence of buttons, the calculator will display the desired positive rational number q.
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A backyard is 40.5 feet long and 25 feet wide. In order to install a pool, the yard needs to be reduced by a scale of One-third. What is the area of the reduced yard?
Answer:
112.5 feet
Step-by-step explanation
Length = (40.5 ft) x (1/3) = 13.5 ft
Width = (25 ft)(1/3) = 25/3 ft
Area of the yard = (13.5 ft)(25/3) = 112.5 ft²
the final area of the yard is equal to 112.5 ft².
Find w ду X and Əw ду at the point (w, x, y, z) = (54, − 2,3, − 3) if w = x²y² + yz - z³ and x² + y² + z² = 22. Z
Given w = x²y² + yz - z³ and x² + y² + z² = 22, we have to find w ду X and Əw ду at the point (w, x, y, z)
= (54, − 2,3, − 3).
w ду X = 2xy² + z and Əw ду = (2xy² + z, 2x²y + 1, 2yz - 3z², x² + 2y + 2z)
Given w = x²y² + yz - z³ and x² + y² + z² = 22
Differentiating w = x²y² + yz - z³
with respect to x, we get:
w ду X = 2xy² + z
Differentiating w = x²y² + yz - z³
with respect to x, y, and z, we get:
Əw ду = (2xy² + z, 2x²y + 1, 2yz - 3z², x² + 2y + 2z)
Putting (w, x, y, z) = (54, − 2,3, − 3) in the above equations, we get:
w ду X = -36 and Əw ду = (-36, -23, -21, 19)
Therefore, w ду X is -36 and Əw ду is (-36, -23, -21, 19).
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PLEASE HELP
this is due by tomorrow :O
Answer:
Your answer is 15 which is your rate of change/slope
Step-by-step explanation:
To calculate rate of change/slope which also means the gradient we need any two points from the figure for the formula
\(m=\frac{y_2-y_1}{x_2-x_1}\)
I took the points (2,30) and (4,60)
so we put the values in our formula
\(m=\frac{60-30}{4-2}\)
\(m=\frac{30}{2} \\m=15\)
A student says that the function f (x) = –x² – 9 has the x-intercepts (-3,0) and (3,0). Is the student correct? If not, expl.
why.
Answer:
No
Step-by-step explanation:
The student is wrong because the function has no solutions.
You cannot factor it because the x² is negative.
If it was x² - 9 instead, you could factor it into (x-3)(x+3) which would get you the x-intercepts (-3,0) and (3,0).
But instead, -x² - 9 cannot be factored at all and has no x-intercepts/solutions.
5. Texas Highway Patrol Officers determine the speed a car was traveling when the driver slammed on the brakes by
measuring the length of the skid marks left by the tires. The speed of a car on dry pavement can be determined using the
function f (x)= 242 where x is the length of the skid marks in feet. The graph below shows the length of skid marks
for several cars.
Answer:
they skided 242 feet
Step-by-step explanation:
Answer:
20x20)(20)20000)$yes
What are three Rational numbers between 3 and 3.10
Answer & Step-by-step explanation:
A rational number is created by dividing two integers.
Three rational numbers between 3 and 3.1 are 3.02, 3.04, and 3.07. These can be written as fractions as follows: 151/50, 76/25, 307/100. Because these numbers can be written as fractions, they are rational.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)a circle plane figure bounded by a curved line called the
Answer:
Circle
Step-by-step explanation:
There are 12 red gummy bears in a jar of 60 gummy bears what is the percentage of the gummy bears in the jar that are red
1. Draw a circuit diagram that contains the following: a series battery with four cells, two light bulbs connected in parallel, a voltmeter across each light bulb, an ammeter that measures the main current.
An electric circuit is a closed course that consists of all of the additives linked to finish the go with the drift of modern-day.
The circuit underneath is composed of:
A battery as a supply of direct modern-day which materials electricity within side the circuit for modern-day to go with the drift. Direct modern-day affords uni-directional modern-day. Here it has cells. Here 4 cells are linked in collection for the battery.
Two bulbs A and B linked in parallel connection. Each bulb has been parallel connected with a voltmeter.
A voltmeter measures the voltage throughout the element that it's miles linked with. It is continually linked in parallel with the additives.
Main circuit has an ammeter in collection with the battery and connection of bulb.
An ammeter measures the modern-day flowing within side the circuit. It is continually linked in collection.
Therefore, an electric circuit is a closed course that consists of all of the additives linked to finish the go with the drift of modern-day.
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Darius and Khadija are learning to play chess. Darius's ratio of wins to losses is 5 to 13. Khadija's ratio of wins to losses is 3 to 9. Who has the better winning record?
Answer:
Darius
Step-by-step explanation:
Darius has played a total of 18 games so divide that by the five wins and you can see how many wins he would get on average wich is 0.28. Khadija won 3 out of 12 games so he/she has 0.25 average
let be a differentiable function where 9 and 4 and 3. if we change by -0.7 and we change by 0.3 then we can expect the value of to change by approximately what amount
If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.
Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"
Using the linear approximation formula, we have:
\(Δf(x) ≈ f'(9) Δx\)
where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.
We can rearrange the formula to solve for Δf(x):
\(Δf(x) ≈ f'(9) Δx\)
Δf(x) ≈ 3(-0.7)
Δf(x) ≈ -2.1
This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.
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solve 2<2x+4<10 for x
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Hi my lil bunny!
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Let's solve your inequality step-by-step.
\(2<2x+4<10\)
\(2 + -4 < 2x + 4 + -4 < 10 + -4\) (Add -4 to all parts)
\(-2 < 2x < 6\)
\(\frac{-2}{2} < \frac{2x}{2} < \frac{6}{2}\) (Divide all parts by 2)
\(-1 < x < 3\)
So the answer is : \(-1 < x < 3\)
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
PQ= RQ and PS= RS a=?
The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.
What are interior angles?In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.
Given:
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle a:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)
\(\angle\text{Q}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-60\)
\(\angle\text{R}=60^\circ\)
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)
\(\angle\text{S}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-90\)
\(\angle\text{R}=45^\circ\)
Step 4 - Now, the measure of angle a is calculated as:
\(\angle\text{a}=60-45\)
\(\angle\text{a}=15\)
The measure of angle a is 15 degrees.
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What is the value of x in the equation: 3x – 5x + 10 = 36
Answer:
-13
Step-by-step explanation:
3x-5x+10=35
-2x+10=36
-2x=36-10
-2x\-2=26\-2
x=-13
Find the values for k so that the intersection of x = 2k and 3x + 2y = 12 lies in the first quadrant.
Answer:
0 < k < 2
Step-by-step explanation:
In the first quadrant both of x and y get positive values, so
x > 0 and y > 0x = 2k, k > 0And replacing x with 2k in the second equation:
3x + 2y = 123*2k + 2y = 122y= 12 - 6ky = 6 - 3kSince y > 0:
6 - 3k> 02 - k > 0k < 2Combining both k > 0 and k < 2, we get:
0 < k < 2Answer:
0 < k < 2
Step-by-step explanation:
The intersection will lie in the first quadrant when the solution has the characteristics: x > 0, y > 0.
For x > 0, we require ...
x = 2k
x > 0
2k > 0 . . . . substitute for x
k > 0 . . . . . divide by 2
__
For y > 0, we require ...
y = (12 -3x)/2
y = (12 -3(2k))/2 = 6 -3k . . . . . substituted for x and simplify
y > 0
6 -3k > 0 . . . . . . substitute for y
2 -k > 0 . . . . . . . divide by 3
k < 2 . . . . . . . . . add k
So, the values of k that result in the intersection being in the first quadrant are ...
0 < k < 2
Three farmers compare their corn production, in bushels, and the area of their farms, in acres. The table below shows their data.
Select all true statements.
The true statements are: A. Farm X produces 15% more bushels of corn per acre than Farm Z, and E. Farm Y produces 16.8% fewer bushels of corn per acre than Farm X.
To determine the true statements, let's compare the corn production per acre for each farm:
How to compare the corn production per acre for each farm?To compare the corn production per acre for each farm, we first divide the corn production by the acre of the farm for each farmer:
Farm X produces 38,808 / 210 = 184.8 bushels per acre.
Farm Y's production = 20,160/ 120 = 168 bushels per acre
Farm Z produces = 41,600 / 260 = 160 bushels per acre
Next, we compare statements based on the calculation above:
A. Farm X produces 15% more bushels of corn per acre than Farm Z.
This is true because Farm Z produces 41,600 / 260 = 160 bushels of corn per acre, and 184.8 is 15% more than 160.
B. Farm Y produces 10% fewer bushels of corn per acre than Farm X.
The statement is false because Farm Y produces 20,160 / 120 = 168 bushels of corn per acre, and 168 is only 9.1% less than 184.8.
C. Farm Y produces 5% more bushels of com per acre than Farm Z.
This is false since Farm Y produces less bushels of corn per acre than Farm Z, as shown.
D. Farm X produces 15.5% more bushels of corn per acre than Farm Z.
This is false because Farm X produces only 15% more bushels of corn per acre than Farm Z.
E. Farm Y produces 16.8% fewer bushels of corn per acre than Farm X.
This statement is true since 168 is 16.8% less than 184.8.
Therefore, the true statements are:
A. Farm X produces 15% more bushels of corn per acre than Farm Z.
E. Farm Y produces 16.8% fewer bushels of corn per acre than Farm X.
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A. Calculate the p-value of the test of the following hypotheses given that p-hat = .63 and n = 100:
H0:p = .60
H1:p > .60
B. Repeat part (a) with n = 200
C. Repeat part (a) with n = 400
D. Describe the effect on the p-value of increasing the sample size.
A. Using the table z-value greater than 1.5 is approximately 0.0668. B. The p-value of the test is 0.0170. C. The p-value of the test is 0.0013. D. The standard error of the sample proportion is reduced.
What is p-value?The likelihood of receiving outcomes from a statistical hypothesis test that are at least as extreme as the actual results, assuming the null hypothesis is true, is known as the p-value in statistics. The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by stronger evidence when the p-value is lower.
The statistic for p-value is determined using the formula:
z = (p-hat - p) / sqrt(p * (1 - p) / n)
Substituting the value p-hat = 0.63, p = 0.60, and n = 100 we have:
z = (0.63 - 0.60) / sqrt(0.60 * 0.40 / 100) = 1.5
This is a right-tailed test (H1: p > 0.60), we need to find the probability of observing a z-value greater than 1.5 under the standard normal distribution.
Using the table z-value greater than 1.5 is approximately 0.0668.
B. For n = 200 we have:
z = (0.63 - 0.60) / sqrt(0.60 * 0.40 / 200) = 2.12 = 0.00170.
C. For n = 400:
z = (0.63 - 0.60) / sqrt(0.60 * 0.40 / 400) = 3.00 = 0.0013.
D. The standard error of the sample proportion is reduced as the sample size is increased, and the estimate of the true proportion is more precisely calculated. As a result, there is a greater z-value for a given difference between the sample percentage and the hypothesised proportion and a smaller sampling distribution. As a result, the p-value of the test falls as sample size increases, presuming all other variables stay the same.
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