Answer:
The slope is still -3x. (-3)
Step-by-step explanation:
If a line is parallel to another line, all that's different about it is the location including the y intercept. This means the slope stays the same.
Daniel bought a van for Rs258 750.This price included a VAT of 15%.Calculate the price of the van without VAT
Answer:
Step-by-step explanation:
price with vat=258750
VAT %=15%
let original price be x
CP+VAT%*CP= Rs258750
x+15/100*x= Rs258750
100x+15x= Rs258750*100
115x= Rs25875000
x= Rs25875000/115
x= Rs225000
Step-by-step explanation:
is answer
Daniel bought a van for Rs258 750.This price included a VAT of 15%.Calculate the price of the van without VAT
Use your function rule to complete each statement. Type the correct answer in each box. Use numerals instead of words.
After 3.5 days, the height of the plant is ____ centimeters.
The height of the plant is 6.25 centimeters after ____ days.
Hii!
After 3.5 days, the height of the plant is 5.75 centimeters.
h = 0.5(3.5) + 4
h = 1.75 + 4
height = 5.75 cm after 3.5 days.
The height of the plant is 6.25 centimeters after 4.5 days.
6.25 = 0.5d + 4
6.25 - 4 = 0.5d - 4
2.25 = 0.5d
2.25/0.5 = 0.5d/0.5
4.5 = d
days = 4.5
Thus, the height of the plant is 6.25 centimeters after 4.5 days.
After 3.5 days, the height of the plant is 5.75 centimeters and the height of the plant is 6.25 centimeters after 4.5 days.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
The equation of the line is:
h = 0.5d + 4
After rewriting the function:
f(x) = 0.5x + 4
Plug x = 0
f(0) = 4 cm
f(1) = 4.5 cm
f(2) = 5 cm
f(3) = 5.5 cm
f(4) = 6 cm
f(5) = 6.5 cm
Plug x = 3.5 days
f(3.5) = 5.75 cm
Plug f(x) = 6.25
6.25 = 0.5x + 4
2.25 = 0.5x
x = 4.5 days
Thus, after 3.5 days, the height of the plant is 5.75 centimeters and the height of the plant is 6.25 centimeters after 4.5 days.
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PLEASSE, PLZZ HELP MEEEE.
What is the solution of the system? Use elimination.
5x-6y=-32
3x+6y=48
Answer:
x=2 y=7
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Easy !
Quick !
Easy.
Answer:
2/5 or 40%
Step-by-step explanation:
there are 10 possible ways to choose 2 cards:
19,13
19,10
19,14
19,22
10,13
14,13
22,13
10,14
10,22
14,22
there are only 4 pairs whose sum is greater than 32:
19,14
19,22
13,22
14,22
Answer:
3/5
Step-by-step explanation:
Graph and write true or false. The points (2, 4) and (-5, 1) represent a proportional relationship?
Answer:
False, the (8,27) ordered pair throws it off. It would need to be (8,24).
Step-by-step explanation:
Can someone help me simplify this?
Step-by-step explanation:
you didn't post question
The volume of a right cone is 21 pie units?. If its diameter measures 6 units, find its height
The height of the right cone is \(7 \ units\).
To find the height of the right cone, we can use the formula for the volume of a cone:
Volume = \(\frac{1}{3} \times \pi \times r^{2} \times h\)
where \(\pi\) is the mathematical constant pi (approximately \(3.14159\)), r is the radius of the base of the cone, and h is the height of the cone.
Given that the volume is \(21 \ \pi\) units and the diameter is \(6\) units, we can find the radius:
Radius (r) =
\(\frac{diameter}{2} \\= \frac{6}{2} \\= 3\)
Substituting the known values into the formula, we have:
\(21 \pi = \frac{1}{3} \times \pi \times 3^{2} \times h\)
Simplifying the equation:
\(21 = (\frac{1}{3}) \times 9 \times h\)
Multiplying both sides by \(3\):
\(63 = 9h\)
Dividing both sides by \(9\\\):
\(h = \frac{63}{9} \\ = 7 units\)
Therefore, the height of the right cone is \(7 \ units\).
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ABCD is a trapezium with AB parallel to DC.
DC= 15 cm and AB= x cm
The perpendicular distance between AB and DC is 3 cm less than the length of AB. The area of ABCD is 75 cm square.
i) show that x2 + 12x - 195= 0
Answer:
Step-by-step explanation:a or b ?
Match each value of a to its equation.
Answer:1.24
2.7 27/56
3.3/4
4.1 2/3
Step-by-step explanation:
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Answer: 26 inches is equivalent to 660.4 millimeters.
Step-by-step explanation:
You will multiply the inches by the conversion.
\(26in*25.4mm=660.4mm\)
Therefore, the answer is 660.4 millimeters.
I hope this helps!! Pls mark brainliest :)
Can someone help me finish this ?
Will mark brainliest ❤️
Answer:
2 to the power of 6 x 3 to the power of 3
Step-by-step explanation:
Answer:
b. 2 to the power 6 . 3 cubed
c. 12 cubed
Number of band members beyerhighschool in Orange County
Answer:
its answer is in high school is ten
in the standard (x, y) coordinate plane, if the x-coordinate of each point on a line is 5 more than half the y-coordinate, what is the slope of the line?
The slope of the line is B.
What is slope of the line ?In mathematics, the slope of a line is the change in y-coordinate with respect to the change in x-coordinate.
The net change in the y coordinate is denoted by Δy and the net change in the x coordinate is denoted by Δx.
So the change in the y coordinate for a change in the x coordinate is:
The slope of a straight line can also be expressed as:
In general, the slope of a line is a measure of its steepness and direction. The slope of the line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points.
CalculationIf the x-coordinate of each point on a line is 5 more than half the y-coordinate, then x= y2+5.
To find the slope of the line, solve for y and put the equation in slope-intercept form (y = mx + b, where m is the slope).
To do so, first subtract 5 from both sides, then multiply the entire equation by 2 to get y = 2x − 10.
The slope is 2.
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The tables below show four sets of data:
Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
For which set of data will the scatter plot represent a negative nonlinear association between x and y?
Set A
Set B
Set C
Set D
Answer:
its not c i got it wrong on the test
Step-by-step explanation:
help meeeeeeeeeeeeeeeeee please
Answer:
x + x + 2 = x + 3
2x + 2 = x + 3
x = 1
x + 2 = 3
x + 3 = 4
= = [P] Given the points A (3,1,4), B = (0, 2, 2), and C = (1, 2, 6), draw the triangle AABC in R3. Then calculate the lengths of the three legs of the triangle to determine if the triangle is equilateral , isosceles, or scalene.
The triangle AABC can be visualized in three-dimensional space using the given points A(3, 1, 4), B(0, 2, 2), and C(1, 2, 6).
To determine if the triangle is equilateral, isosceles, or scalene, we need to calculate the lengths of the three sides of the triangle. The lengths of the sides can be found using the distance formula, which measures the distance between two points in space.
Calculating the lengths of the sides:
Side AB: √[(3-0)² + (1-2)² + (4-2)²] = √(9 + 1 + 4) = √14
Side AC: √[(3-1)² + (1-2)² + (4-6)²] = √(4 + 1 + 4) = √9 = 3
Side BC: √[(0-1)² + (2-2)² + (2-6)²] = √(1 + 0 + 16) = √17
By comparing the lengths of the three sides, we can determine the nature of the triangle:
- If all three sides are equal, i.e., AB = AC = BC, then the triangle is equilateral.
- If any two sides are equal, but the third side is different, then the triangle is isosceles.
- If all three sides have different lengths, then the triangle is scalene.
In this case, AB = √14, AC = 3, and BC = √17. Since all three sides have different lengths, the triangle AABC is a scalene triangle.
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h(x)=x2+2x g(x)=-2x+4 Find(h-g)(x)
O x2+3x+1
O x2+4x-4
O x2-4x-4
O -x2-4x+4
Answer:
Step-by-step explanation:
x^2 + 2x + 2x - 4
x^2 + 4x - 4
Option 2 is the answer
Segment-Part of a ____ (line,point,plane) bounded by two_____ (line,point,plane)
suppose a sales manager wants to compare different sales promotions. he chooses 5 different promotions and samples 10 random stores for each different promotion. the f value is 3.4. using jmp, find the correct p-value. group of answer choices .1060 .001 .0163 .40
For an F-value of 3.4, the correct p-value is 0.0163 which is evaluated using the statistical tables or software.
Finding the correct p-value for a given F-value of 3.4 requires the use of statistical tables or software. Assuming a two-sided test and a significance level of 0.05, you can use JMP to calculate the p-value as follows:
Open JMP and click Analyze > Match Y to X.
In the dialog box, select a response variable (eg: sales) and a factor variable (eg: promotion).
Click Options and select ANOVA from the list.
Click Run to generate the ANOVA table. Find the F Ratio and Prob > F columns in the ANOVA table.
The p-values in the Prob > F column correspond to the probability of the F value being observed in the extreme, or observed more extreme than the observed value, given the null hypothesis to be true.
In this case, with an F value of 3.4, degrees of freedom of the numerator 4, and degrees of freedom of the denominator 45 (based on 5 groups and 50 samples in total), the p-value is 0.0163.
therefore, for an F-value of 3.4, the correct p-value is 0.0163.
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The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X=time to pass the kidney stone. Round all answers to two decimal places. A. X ~ N( , ) B. Find the probability that a randomly selected person with a kidney stone will take longer than 21 days to pass it. C. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
A. The distribution is given as follows: X ~ N(14, 6).
B. The probability that a randomly selected person with a kidney stone will take longer than 21 days to pass it is given as follows: 0.121 = 12.1%.
C. The minimum value of the upper quartile is given as follows: 18.05 days.
How to obtain probabilities using the normal distribution?We first must use the z-score formula, as follows:
\(Z = \frac{X - \mu}{\sigma}\)
In which:
X is the measure.\(\mu\) is the population mean.\(\sigma\) is the population standard deviation.The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and can be positive(above the mean) or negative(below the mean).
The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure represented by X in the distribution.
The mean and the standard deviation for this problem are given as follows:
\(\mu = 14, \sigma = 6\)
The probability of a time greater than 21 days is one subtracted by the p-value of Z when X = 21, hence:
Z = (21 - 14)/6
Z = 1.17
Z = 1.17 has a p-value of 0.879.
1 - 0.879 = 0.121.
The upper quartile is X when Z = 0.675, hence:
0.675 = (X - 14)/6
X - 14 = 6 x 0.675
X = 18.05.
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Part C
How many books will the company have to produce and sell to start making an overall profit? Hint: Remember to account for the one-time editing
cost.
A Mass Of 1 Slug, When Attached To A Spring, Stretches It 2 Feet And Then Comes To Rest In The Equilibrium Position. Starting At T = 0, An External Force Equal To F(T) = 2 Sin 4t Is Applied To The System. Find The Equation Of Motion If The Surrounding Medium Offers A Damping Force That Is Numerically Equal To 8 Times The Instantaneous Velocity. (Use G =
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at
t = 0,
an external force equal to
f(t) = 2 sin 4t
is applied to the system. Find the equation of motion if the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity. (Use
g = 32 ft/s2
for the acceleration due to gravity.)
The general solution will depend on the values of k, m, and the damping coefficient 8/m. To find the equation of motion for this system.
We can use Newton's second law:
F = ma
where F is the net force acting on the system, m is the mass of the object, and a is the acceleration.
The net force in this case is the sum of the external force and the force due to the spring:
F = f(t) - kx
where k is the spring constant and x is the displacement from equilibrium.
The damping force is given as 8 times the instantaneous velocity, which we can write as:
F_damp = -8v
where v is the velocity of the object.
Putting everything together, we get:
m(d^2x/dt^2) = f(t) - kx - 8v
Substituting in the given values, we have:
1(d^2x/dt^2) = 2 sin 4t - kx - 8(dx/dt)
To simplify this equation, we can use the fact that x is a displacement and therefore the second derivative of x with respect to time is the acceleration. So we can rewrite the equation as:
a = (2/g)sin(4t) - (k/m)x - 8v/m
where g = 32 ft/s^2 is the acceleration due to gravity.
To solve for x, we can use the fact that the velocity is the derivative of displacement with respect to time:
v = dx/dt
Taking the derivative of the equation for velocity, we get:
a = d^2x/dt^2 = dv/dt = d/dt(dx/dt) = d/dt(v) = d/dt(-8v/m - (k/m)x + 2/g sin(4t))
Simplifying this expression, we get:
a = -8/m(dv/dt) - k/m(dx/dt) + (8/g)cos(4t)
Substituting in the value of a from the previous equation, we have:
(2/g)sin(4t) - (k/m)x - 8v/m = -8/m(dv/dt) - k/m(dx/dt) + (8/g)cos(4t)
Rearranging and simplifying, we get:
d^2x/dt^2 + (k/m + 8/m)dx/dt + k/mx = (16/g)cos(4t) - (2/g)sin(4t)
This is a second-order differential equation that we can solve using standard techniques, such as the method of undetermined coefficients or Laplace transforms. The general solution will depend on the values of k, m, and the damping coefficient 8/m.
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A researcher is interested in comparing two teaching methods for slow learners. In particular, the researcher wants to determine if a new method of teaching is better (gives higher scores) than the standard method currently used. Type I error rate is set at alpha=0.05. Ten slow learners are taught by the new method and 12 by the standard method. The results of a test at the end of the semester are given below (assume that the normal distribution with equal variances assumptions are satisfied)
Test scores (new method): 80, 76, 70, 80, 66,85, 79,71,81,76. Test scores (standard method): 79,73,72,62, 76, 68, 70, 86,75, 68, 73,66. What is the appropriate research hypothesis? (assume mu_1 = true mean of all scores under new method, and mu_2=true mean of all scores under standard method) - sample mean scores of the new method is higher than that of the standard method - mu_1 - mu_2 is "not equal to zero - mu_1 - mu 2 > 0 - mu_1-mu 2 < 0
The appropriate research hypothesis in this case is: "The sample mean scores of the new teaching method are higher than those of the standard teaching method."
To clarify, let's define the hypotheses more explicitly:
- Null Hypothesis (H0): The true mean of the scores under the new teaching method (mu_1) is equal to or less than the true mean of the scores under the standard teaching method (mu_2). H0: mu_1 <= mu_2
- Alternative Hypothesis (H1): The true mean of the scores under the new teaching method (mu₁ is greater than the true mean of the scores under the standard teaching method (mu₂). H1: mu_1 > mu_2
In other words, the researcher wants to determine if the new teaching method leads to higher scores compared to the standard method.
The alternative hypothesis suggests that there is a difference in favor of the new method, specifically that the true mean of the scores under the new method is greater than the true mean of the scores under the standard method.
The type I error rate, alpha, is set at 0.05, which means that if the p-value (the probability of observing the data given that the null hypothesis is true) is less than or equal to 0.05, we will reject the null hypothesis in favor of the alternative hypothesis.
It's worth noting that this is a one-sided test because we are only interested in determining if the new method is better (i.e., leads to higher scores) than the standard method.
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find the slope of (12,-18),(11,12)
When an uncertain event is expressed as a set of possible values, these values are often combined with their respective probabilities into a single mean value called what
When an uncertain event is expressed as a set of possible values, these values are often combined with their respective probabilities into a single mean value called the expected value or the mathematical expectation.
The expected value is a concept used in probability theory and statistics to represent the long-term average outcome of a random variable or uncertain event. It is calculated by multiplying each possible value of the event by its corresponding probability and summing up these products. The result is a single value that represents the average or mean outcome of the event.
The expected value provides a way to summarize the overall outcome of an uncertain event in a single numerical value. It serves as a useful tool in decision-making and risk analysis, as it helps to assess the potential outcomes and evaluate the potential gains or losses associated with different probabilities. By considering the expected value, individuals or organizations can make informed decisions based on the average outcome of the event and weigh the potential risks and rewards.
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y=2x+5,y=0.5x-1 solve
Answer:
y=2x+5............(1)
y=0.5x-1...........(2)
Step-by-step explanation:
equalizing equation (1)&(2),we get
2x+5=0.5x-1
2x-0.5x=-1-5
1.5x=-6
x=-6/1.5=-4
substituting value of x in equation (1),we get
y=2×-4+5=-8+5=-3
plz help with thsi Homework
Answer:
3818
Step-by-step explanation:
how to find magnitude of a vector with 3 components
In order to find the magnitude of a vector with three components, use the formula:
|V| = sqrt(Vx^2 + Vy^2 + Vz^2)
where Vx, Vy, and Vz are the components of the vector along the x, y, and z axes respectively.
To find the magnitude, you need to square each component, sum the squared values, and take the square root of the result. This gives you the length of the vector in three-dimensional space.
Let's consider an example to illustrate the calculation.
Suppose we have a vector V = (3, -2, 4). We can find the magnitude as follows:
|V| = sqrt(3^2 + (-2)^2 + 4^2)
= sqrt(9 + 4 + 16)
= sqrt(29)
≈ 5.385
Therefore, the magnitude of the vector V is approximately 5.385.
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