Answer:
slope = -6 and y intercept=0
Step-by-step explanation:
find all values of x such that (6, x, −11) and (5, x, x) are orthogonal. (enter your answers as a comma-separated list.)x = ___
The values x such that (6, x, −11) and (5, x, x) are orthogonal is 6,5.
The orthogonal vectors have dot product to be zero. Thus, the formula to be used is -
a . b = a1b1 + a2b2 + a3b3, where a1, a2 and a3 are components a vector and b1, b2 and be are components of b vector.
Keep the values in formula -
a . b = 6(5) + x² + (-11)x
a . b = 30 + x² - 11x = 0
So, x² - 11x + 30 = 0
x(x - 6) - 5(x - 6) = 0
(x - 6) (x - 5) = 0
So, the value of x is 6,5.
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Write the standard form of the equation of the line described:
through:(-1,-4), parallel to x = 0
Answer:
X = -1
IM NOT SURE
help me please I have a few minutes left
Answer:
.
Step-by-step explanation:
1st option. -27. is the answer
Answer: -22.5
Step-by-step explanation:
-12.5+(-10)=
-12.5-10=
-22.5
the demand curve for original iguanawoman comics is given by q = (469 − p)2 150 (0 ≤ p ≤ 469), where q is the number of copies the publisher can sell per week if it sets the price at $p.
These points the boundaries of the demand curve a price of $0 the maximum number of copies per week is (469² / 150).
To analyze the demand curve for Original Iguana woman comics,
q = (469 − p)² / 150
In this equation, q represents the number of copies the publisher can sell per week if they set the price at $p.
The equation is quadratic, with (469 - p)² as the numerator and 150 as the denominator. The numerator represents the decreasing relationship between price and quantity demanded, indicating that as the price increases, the quantity demanded decreases.
To better understand the demand curve, examine a few key points:
When p = 0:
q = (469 - 0)² / 150
= 469² / 150
When p = 469:
q = (469 - 469)²/ 150
= 0² / 150
= 0
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Translate □CAR using the Rule (x +7, y -3)
Reflect ☆C' A' R' over the x-axis make C" A" R"
PLSS DO TOMORROW BUT U CAN DO IT!!!!!
Which one is the bigger number 3.5F or 5F.
Answer: 5F is the bigger one, because a whole number is bigger than the decimal
Answer: 5F is the answer.
Step-by-step explanation:
Drew pls mark me brainiest!!!
A 7 digit code can’t start with a 1 or 2 and no numbers can be repeated. how many different codes are possible?
Answer:
9 is correct
Step-by-step explanation:
please tell fast plzzzzzz
Which choice is correct?
Answer:
3rd one
Step-by-step explanation:
What is the answer to 4^-5 x 4^2?
The Answer Is :
0.015625
For an economy the following functions have been given: C = 100 + 0.8Y S = -100 + 0.2Y I = 120 – 5r Ms = 120 Md = 0.2Y – 5r Calculate the following: (a). IS equation (5) (b). LM equation (5) (c). equilibrium level of income (5) (d) equilibrium level of interest rate.
To solve for the IS-LM equilibrium in an economy, we need to calculate the IS equation, LM equation, equilibrium level of income, and equilibrium level of interest rate. Given the functions for consumption (C), saving (S), investment (I), money supply (Ms), and money demand (Md), we can derive these values.
(a) IS equation:
The IS equation represents the equilibrium condition in the goods market. It is derived by equating national income (Y) with aggregate demand (C + I + G), where G represents government spending. In this case, the equation is:
Y = C + I
Substituting the given consumption and investment functions, we have:
Y = (100 + 0.8Y) + (120 - 5r)
Simplifying the equation, we get:
Y = 220 + 0.8Y - 5r
(b) LM equation:
The LM equation represents the equilibrium condition in the money market. It is derived by equating money supply (Ms) with money demand (Md). In this case, the equation is:
Ms = Md
Substituting the given money supply and money demand functions, we have:
120 = 0.2Y - 5r
(c) Equilibrium level of income:
To find the equilibrium level of income, we solve the IS equation for Y. Rearranging the IS equation from part (a), we get:
0.2Y = 220 - 5r
Y = (220 - 5r) / 0.2
(d) Equilibrium level of interest rate:
To find the equilibrium level of interest rate, we solve the LM equation for r. Rearranging the LM equation from part (b), we get:
5r = 0.2Y - 120
r = (0.2Y - 120) / 5
By substituting the equilibrium level of income (Y) into the LM equation, we can find the corresponding equilibrium level of interest rate (r). Similarly, by substituting the equilibrium level of interest rate (r) into the IS equation, we can find the corresponding equilibrium level of income (Y). These values represent the IS-LM equilibrium in the economy.
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PLSSS HELPP I BEGG What is the solution to the system of linear equations graphed below?
Answer:
No solution
Step-by-step explanation:
because the are parallel lines they never meet so they are inconsistent so there is no solution
Nicole can pick forty bushels of apples in
15 hours. Carlos can pick the same amount
in 11 hours. How long would it take them
if they worked together?
Step-by-step explanation:
Given:
Work = 40 Bushels of Apples
Time of Nicole = 15 Hours
Time of Carlos = 11 Hours
Unknown:
N = Nicole's Rate
C = Carlos' Rate
Equation:
W = r * t
Solution:
First, get Nicole's Rate
40 = N * 15
N = 40 / 15
Second, get Carlos' Rate
40 = C * 11
C = 40/11
Then, get the time
40 = ( N + C ) * t
40 = ( 40/15 + 40/11 ) * t
40 = 208/33 t
40 / (208/33) = t
t = 165 / 26 or 6.3462 Hours
Statement:
Therefore, it would take them approxmately 6.35 hours if they worked together.
What is the equation of the line through 1 2 which makes equal intercepts on the axis?
The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)
The equation of the line through (1,2) makes an equal intercept on the axis
The formula of the intercept form is
\(\frac{x}{a} +\frac{y}{b} =1\)
If they make an equal intercept
\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)
Put the value of the point in the axis, and we get.
\(1+2=a\\a=3\)
Put the value in the equation, and we get.
\(x+y=3\)
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Find the area of the pumpkins I will mark the brainiest answer
Answer:
10x^3 + 29x^2 - 4
Step-by-step explanation:
5x 2
2x^2 10x^3 4x^2
5x 25x^2 10x
-2 -10x -4
Answer: 10x^3 + 29x^2 - 4
Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d=∣a∣∣a×b∣ where a=QR and b=QP Use the above formula to find the distance from the point to the given line. (5,2,−1);x=2+t,y=1−3t,z=4−2t d=
The distance from the point (5, 2, -1) to the line defined by
x=2+t,
y=1-3t,
z=4-2t is given by
d = √(6) √(9t² - 6t + 5) / √(10).
To find the distance between the point (5, 2, -1) and the line defined by x=2+t,
y=1-3t,
z=4-2t, we can use the formula
d=|a|/|a×b|, where a is the vector QR and b is the vector QP.
Find the vectors a and b:
Vector a = QR
= (2+t - 2, 1-3t - 2, 4-2t - (-1))
= (t, -3t-1, 5-2t)
Vector b = QP
= (5 - (2+t), 2 - (1-3t), -1 - (4-2t))
= (3-t, 3t-1, -5+2t)
Calculate the cross product of a and b:
a × b = [(3t-1)(-5+2t) - (5-2t)(3t-1)]i - [(5-2t)(t) - (3-t)(-5+2t)]j + [(5-2t)(-3t-1) - (3-t)(3t-1)]k
= (-2t² - 11t + 5)i + (3t² - 8t + 5)j + (-6t² - 6t + 8)k
Find the magnitudes of a and a × b:
|a| = √(t² + (-3t-1)² + (5-2t)²) = √(9t² - 6t + 6)
|a × b| = √((-2t² - 11t + 5)² + (3t² - 8t + 5)² + (-6t² - 6t + 8)²)
= √(45t⁴ + 90t³ - 30t² - 20t + 90)
Calculate the distance:
d = |a|/|a × b| = √(9t² - 6t + 6) / √(45t⁴ + 90t³ - 30t² - 20t + 90)
Therefore, the distance from the point (5, 2, -1) to the line
x=2+t,
y=1-3t,
z=4-2t is given by
d = √(9t² - 6t + 6) / √(45t⁴ + 90t³ - 30t² - 20t + 90).
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The Emotional Intelligence Quotient (EQ) score of a grade 8 class is normally distributed with a mean of 80 and a standard deviation of 20. A random sample of 36 grade 8 learners is selected. Let X be EQ score score of a grade 8 class. It is further known that the probability that the mean EQ score is between x and the population mean is 0.4918. Determine the value if x such that P(x << 80) = 0.4918. Choose the correct answer from the list of options below.
a. 84
b. 80
C. 78
d. 76
e 72
The given is the Emotional Intelligence Quotient (EQ) score of a grade 8 class is normally distributed with a mean of 80 and a standard deviation of 20, and a random sample of 36 grade 8 learners is selected. The value of x is to be determined such that P(x << 80) = 0.4918.
The population mean is given by μ = 80.The standard deviation of the sample is given by:σ/√n = 20/√36 = 20/6.∴ Standard Error = σ/√n = 20/6 ≈ 3.33.Now, we have to find the z-score associated with a tail probability of 0.4918/2 = 0.2459.Using the standard normal distribution table, we get that the z-value associated with a tail probability of 0.2459 is approximately 0.67.
Now, using the formula for z-score: z = (x - μ) / Standard Error 0.67 = (x - 80) / 3.33 0.67 x 3.33 = x - 80 2.2301 + 80 = x 82.2301 = xThus, the value of x is 82.2301. Therefore, the option (a) 84 and the solution is provided above.
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Compute the objective function value for the following problem: Min \( 120 \mathrm{X}+ \) \( 150 Y \) subject to : \( 2 X>=0 ; 8 X+10 Y=80 ; X+Y>=0 \) a. unbounded b. \( 81.200005 \) c. infeasible d.
Answer:
D
Step-by-step explanation:
839 / 41
hurry I need it now
Answer:
20.4634146
Step-by-step explanation:
Rounded it be 20.46 or 20.5
Answer:
20.46
Step-by-step explanation:
just divide :)
have a nice day
8* x + y + y; use x=9, and y = 10
Answer:
92
Step-by-step explanation:
8* x + y + y
Where
x=9, and y = 10
Solution=8×9+10+10
=72+20
=92.
So the answer is 92
Answer:
92
Step-by-step explanation:
plz refer the photo i have attached
If your family goes for a bike ride each weekend, what are you likely to do when you are living on your own?
We will likely do exercise regularly as part of your weekly schedule.
What are exercises?Exercise is defined as any bodily activity that improves or maintains physical fitness as well as overall health and wellness.It is done for a variety of reasons, including aiding growth and improving strength, developing muscles and the cardiovascular system, honing athletic skills, weight loss or maintenance, improving health, or simply for fun. Many people prefer to exercise outside, where they can congregate in groups, socialize, and improve their physical and mental health.In terms of health benefits, the amount of exercise recommended depends on the goal, the type of exercise, and the person's age. Even a small amount of exercise is preferable to none.As there are so many benefits of exercise, so we will likely do exercise regularly as part of your weekly schedule.
Therefore, we will likely do exercise regularly as part of your weekly schedule.
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Which equation matches: what number is 10% of 20?
Answer: 2
Work: I just did 20 times .10 (You do .10 because everytime you multiply by any percent, you move the decimal back two spots). And after doing the multiplication, I got 2
I hope this helps, and Happy Holidays! :)
1.4.
Which scatter plot shows a negative linear association between x and y?
A.
B.
y
y
C.
D.
..
..
.
●
●
.
●
Answer:
need more details
Step-by-step explanation:
...
Lines l and m are parallel.
Which statement is always true?
Group of answer choices
A 90° rotation will map line l onto line m.
Line l can be reflected over a horizontal line to map onto line m.
Line l can be reflected over a vertical line to map onto line m.
Line l can be translated to map onto line m.
Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.
Do you have any explanations as to why the lines L and m are parallel?L and m are not parallel because the sum of the co-interior angles on the same side of the transversal does not equal 180 degrees.In the event when two lines, l and m, are in the same plane but do not cross, they are said to be parallel.We are aware that the equivalent angles are equal if they are parallel and a transversal is drawn to intersect them both. Accordingly, these are x and y. As a result, we can conclude that x and y are equivalent if l and m are parallel.If two lines, l and m, are in the same plane and do not cross one another, then they are parallel.To learn more about Lines refer to:
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Write the area as a product:
3x^2 - 7x - 6
Answer:
product is a ⋅ c = 3 ⋅ − 6 = − 18 and whose sum is b = − 7 .
Step-by-step explanation:
Factor
− 7 out of − 7 x .
3 x 2 − 7 ( x ) − 6
Rewrite
−7 as 2 plus −9
3 x 2 + (2−9) x −6
Apply the distributive property.
3 x 2 + 2 x − 9 x − 6
What is the equation of the line?
A: y = -4/5x + 3/2
B: y = -5/4x + 5/4
C: y = -4/5x + 5/4
D: y = -5/4x + 3/2
Answer:
A: y = -4/5x + 3/2 i believe is the correct answer
Step-by-step explanation:
One of the tallest ferris wheels in the world is in las vegas. It has a diameter, , of 520 feet. The circumference of the ferris wheel represents the distance traveled by a passenger after one full rotation. The circumference can be determined using the expression. What is the distance traveled, in feet, by passengers on each rotation of the ferris wheel? record your answer to the nearest tenth of a foot.
Answer:
Below
Step-by-step explanation:
Circumference of a circle = pi * diameter
circumference of ferris wheel = 3.14159 * 520=1633.6 ft
need help i dont now
Answer:
15 is 30% of 50 :D
Step-by-step explanation:
Does someone mind helping me with this problem? Thank you!
Answer:
-64Step-by-step explanation:
Given sequence is -1/2, -1, -2, -4,...
We get, a1 = -1/2
r = 2
n = 8 a8 = a.r^(n-1)
a8 = -1/2 * 2^(8-1)
a8 = -1/2 * 2^7
a8 = -1/2 * 128
a8 = -64
Find the volume of the sphere.
The volume of the sphere with a diameter of 6 mi is approximately 113.04 cubic miles.
What is the volume of the sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).
From the image:
Diameter d = 6 mi
Radius r = diamter/2 = 6/2 = 3 mi
Plug the value into the above formula and solve for the volume:
Volume = (4/3)πr³
Volume = (4/3) × 3.14 × (3 mi)³
Volume = (4/3) × 3.14 × 27 mi³
Volume = 113.04 mi³
Therefore, the volume is 113.04 cubic miles.
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statistics computed for larger random samples are less variable than the statistic computed for smaller random samples
Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.
This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.
The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.
In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.
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