The magnitude of vector u will 39.
the magnitude (also known as the length, norm or absolute value) of a vector \($\mathbf{v} = (v_1, v_2, \dots, v_n)$\) in an n-dimensional vector space is a scalar quantity defined as:
\($|\mathbf{v}| = \sqrt{v_1^2 + v_2^2 + \cdots + v_n^2}.$\)
The magnitude of a vector is always non-negative and represents the length or size of the vector. Geometrically, the magnitude of a vector is the distance from the origin to the tip of the vector when it is viewed as an arrow in space. The magnitude of a vector is also related to the dot product of two vectors by the following formula:
\($|\mathbf{v}| = \sqrt{\mathbf{v} \cdot \mathbf{v}}$\)
Given that vector u is defined as u = <-36,-15>,
the magnitude of vector u can be calculated as follows: |u| = √((-36)² + (-15)²)
|u| = √(1296 + 225)
|u| = √1521
|u| = 39
Therefore, the magnitude of vector u is 39.
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3m + 13, which value can variable m have ?
Answer:
Any Variable unless we are missing information that you didn't give us
Step-by-step explanation:
m is a variable, and since there is nothing but the single expression m could techincally be anything
You only gave us 3m + 13 which is an expression aka no = sign, but if there is one then that will change things / etc as m will have to be a certian value :D
Hope this helps, have a nice day :))
y = 2x^2
y = 3x^2 - 4
Graph the quadratic functions y =-2x^2 + 4 on a separate piece of paper. Using those graph, compare and contrast the shape and position of the graphs.
Answer:
y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)
Step-by-step explanation:
all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)
If a is positive then the parabola opens up,
the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises
the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis
When calculating npv, the present value of the nth cash flow is found by dividing the nth cash flow by 1 plus blank______ rate raised to the nth power.
The discount rate raised to nth power.
What is NPV?NPV is defined as Net Present Value. It is mainly used in capital budgeting and investment planning for the purpose of analyzing the project profit. NPV is the difference between the present value of cash inflows and the present value of cash outflows in a period of time. The occurrence of cashflows in a series at different times is termed as NPV. NPV is a measure widely used in finance and commercial real estate. It is used to help taking decisions in accounting calculation. The cashflow that is discounted can be termed as NPV.
A simple example for NPV is, If a security offers a series of cashflows with an NPV of $30,000 and an investor pays exactly $30,000 for it, then the investor's, NPV is $0.
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The probability of spinning blue, flipping heads, then spinning a 1 is
.
Answer:
\( \sqrt{32 \div 2 = } 82 \\ \)
Can someone pls help?
Answer:
D
Step-by-step explanation:
If you think of the x-axis as your horizontal line, you can see that there is more than one value for x for y=0.
For instance, (-2,0), (0,0), (0,2).
João emprestou R$ 1000,00 a seu amigo José. Para que José conseguisse o empréstimo com o amigo, foram definidas as seguintes condições de pagamento: prazo de 6 meses e taxa de juros simples de 10% ao trimestre. Sendo assim, passados os seis meses do empréstimo, quanto o amigo José terá de pagar ao amigo João? a) R$ 100,00 b) R$ 1.100,00 c) R$ 200,00 d) R$ 1.200,00 e) R$ 1.400,00
Answer:
La opción correcta es;
d) R $ 1.200,00
Step-by-step explanation:
El monto que Joao prestó a José = R $ 1.000,00
La duración del préstamo = 6 meses
El plazo de interés del préstamo = interés simple del 10% por trimestre
La cantidad que José tiene que pagarle a Joao después de 6 meses viene dada por la siguiente fórmula de interés simple;
A = P · (1 + r · t)
A = La cantidad que José tiene que pagarle a Joao después de 6 meses
P = La cantidad que Joao prestó a José = R $ 1.000,00
r = La tasa de interés = 10% / trimestre = 10% / (3 meses) = 0.1 / (3 meses)
t = La duración del préstamo = 6 meses
Por lo tanto, al sustituir los valores anteriores en la fórmula de interés simple, tenemos;
A = R $ 1.000,00 × (1 + 0,1 / (3 meses) × 6 meses) = R $ 1.000,00 + R $ 200,00 = $$ 1.200,00
El monto que José debe pagar a Joao después de 6 meses = R $ 1.200,00
simplify
6 ÷ 3 + 32 · 4 − 2
Answer:
128 <33
Step-by-step explanation:
6 ÷ 3 + 32 • 4 - 2 = 128
▪︎▪︎▪︎▪︎▪︎▪︎
how large a sample should be taken in order to estimate the proportion to within 4% with a 95.44% level of confidence?
Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Step-by-step explanation:
EDGE2021
k/8-1=-3. pls anawear this paper due tomorrow
Answer: k = 32
Step-by-step explanation:
k/8 - 1 = 3 We add 1 on both sides
+1 +1
k/8 = 4 Now we have to multiply by both sides to isolate the k
x8 x8
k = 32
You deposit $1500 in an account that earns simple interest (i=prt) at an annual rate of 3%. a: solve the formula for t. b: how long must you leave the money in the account to earn $900 in interest?
You must leave the money in the account for(Time) 20 years to earn $ 900 in Simple interest.
To calculate the simple interest use formula :-
I = (P×R×T)/100 , I is the Simple Interest ,where P is the principal amount, R is the rate of interest and T is time (in years).
Given : P= $1500 ; R = 3%= 3/100 and I =$900
To find : Time
From the above formula , we have
900 = (1500 ×3×T)/100
900 = 1500 × 0.03T
T = 900/(1500×0.03) = 20
T= 20 years
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hen reading a buret with graduated markings at every 0.1 ml, your recorded volume should read to which place? hundredths. thousandths. tenths.
When reading a buret with graduated markings at every 0.1 ml, your recorded volume should read to a) hundredths place.
Definition and Function of the BuretteA burette is a long tube-shaped glass instrument with scale lines like a measuring pipette or measuring cup with the same cross section from top to bottom. At the bottom of this tool is equipped with a faucet as a place for the solution to come out at the mouth of the burette.
The function of the burette is as a tool to measure the solution based on the volume released. The burette size usually has a volume of 25 / 50 ml.
If the burette is being used, it must be supported firmly with a stand equipped with clamps to clamp the burette. Make sure that when clamping the burette in the stand and clamp the position of the burette must be perpendicular so that the scale reading is correct and does not cause paralax errors.
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The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. The probability that her trip will take longer than 80 minutes is Group of answer choices 1.00. 0.40. 0.20. 0.80.]
The probability that her trip will take longer than 80 minutes is 0.20.
The probability that the trip takes longer than 80 minutes is equal to the area of the uniform distribution to the right of 80. Since the distribution is uniform, the area to the right of 80 is equal to the proportion of the total area that is to the right of 80.
The total area under the uniform distribution is equal to the length of the interval, which is (90 - 40) = 50.
The area to the right of 80 is equal to (90 - 80) = 10.
So the probability that the trip takes longer than 80 minutes is:
10 / 50 = 0.2
Therefore, the answer is 0.20.
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please help its geometry. Solve for x
Answer
the answer is x = 9 root 3
The sum is 16 and the difference is 12 what is the answer
Answer:
14 and 2 maybe?
Answer:
14, 2
Step-by-step explanation:
a + b = 16
a - b = 12
------------------
2a = 16 + 12
2a = 28
a = 14
14 + b = 16
b = 2
A certain sports car comes equipped with either an automatic or a manual transmission, and the car is available in one of four colors. Relevant probabilities for various combinations of transmission type and color are given in the table below.COLORTRANSM?SS?ON TYPE white blue black redA 13 10 11 11M 15 07 15 18Let A = {automatic transmission}, B = { black } , and C = { white }. a) Calculate P(A), P(B), and P(A ? B). b) Calculate both P(A | B) and P(B | A), and explain in context what each of these probabilities represent. c) Calculate and interpret P(A | C) and P(A | C').
P(B) = P(black and A) + P(black and M) = (11+15+15)/80 = 41/80
P(A ? B) = P(black and A) = 41/80
we have P(A) = 1, P(B) = 41/80, and P(A ? B) = 41/80.
P(B | A) = P(A and B) / P(A) = (11+15+15) / (13+10+11+11+15+7+15+18) = 41/80. This represents the probability of a randomly selected black car having an automatic transmission.
P(A | C') = P(A and C') / P(C') = (10+11+15+18) / (10+11+15+18+7+11+11+15) = 54/73. This represents the probability of a randomly selected non-white car having an automatic transmission.
a) From the table, we can calculate the following probabilities:
P(A) = P(A and white) + P(A and blue) + P(A and black) + P(A and red) = (13+10+11+11+15+7+15+18)/80 = 80/80 = 1
P(B) = P(black and A) + P(black and M) = (11+15+15)/80 = 41/80
P(A ? B) = P(black and A) = 41/80
So, we have P(A) = 1, P(B) = 41/80, and P(A ? B) = 41/80.
b) We can calculate the following conditional probabilities:
P(A | B) = P(A and B) / P(B) = (11+15+15) / (11+10+11+15+7+15+18) = 41/77. This represents the probability of a randomly selected car having an automatic transmission, given that it is black.
P(B | A) = P(A and B) / P(A) = (11+15+15) / (13+10+11+11+15+7+15+18) = 41/80. This represents the probability of a randomly selected black car having an automatic transmission.
c) We can calculate the following conditional probabilities:
P(A | C) = P(A and C) / P(C) = (13+15) / (13+10+11+15) = 28/49. This represents the probability of a randomly selected white car having an automatic transmission.
P(A | C') = P(A and C') / P(C') = (10+11+15+18) / (10+11+15+18+7+11+11+15) = 54/73. This represents the probability of a randomly selected non-white car having an automatic transmission.
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The probability values are
(a) P(A) = 9/20, P(B) = 13/50, P(A and B) = 11/100(b) P(A | B) = 11/26, P(B | A) = 11/45(c) P(A | C) = 13/28, P(A | C') = 4/9How to calculate the probabilitiesGiven that
COLOR
TRANSMISSION TYPE white blue black red
A 13 10 11 11
M 15 07 15 18
Also, we have
A = Automatic transmissionB = BlackC = WhiteFor the probabilities, we have
(a) P(A) = (13 + 10 + 11 + 11)/(13 + 10 + 11 + 11 + 15 + 07 + 15 + 18)
P(A) = 9/20
P(B) = (11 + 15)/100
P(B) = 13/50
P(A and B) = 11/100
(b) P(A | B) = P(A and B)/P(B)
P(A | B) = (11/100)/(13/50)
P(A | B) = 11/26
This means that the probability that a car is automatic given that it is black is 11/26
P(B | A) = P(A and B)/P(A)
P(B | A) = (11/100)/(9/20)
P(B | A) = 11/45
This means that the probability that a car is black given that it is automatic is 11/45
(c) P(A | C) = P(A and C)/P(C)
Where P(A and C) = 13/100 and P(C) = 28/100
So, we have
P(A | C) = (13/100)/(28/100)
P(A | C) = 13/28
This means that the probability that a car is automatic given that it is white is 13/28
P(A | C') = P(A and C')/P(C')
Where P(A and C') = 32/100 and P(C') = 72/100
So, we have
P(A | C') = (32/100)/(72/100)
P(A | C') = 4/9
This means that the probability that a car is automatic given that it is not white is 4/9
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Anyone know how to do this
The length of AD is approximately 9.2 units.
Describe Triangles?A triangle is a geometric figure that is formed by three line segments joining three non-collinear points in a plane. It is a three-sided polygon and the most basic two-dimensional shape. A triangle has three interior angles and three vertices. The sum of the interior angles of a triangle is always 180 degrees, and each angle is measured in degrees. Triangles can be classified based on the length of their sides and the measures of their angles. There are several types of triangles such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles are used in various fields such as engineering, architecture, mathematics, and physics, and they are an essential part of many geometric calculations and constructions.
To solve this problem, we can use the angle bisector theorem which states that if a line bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the adjacent sides.
Let AD = x. Then we can set up the following proportion:
AC/CD = AB/BD
Substituting the given values, we get:
24/x = 15/(18 - x)
Simplifying this equation, we get:
360 - 15x = 24x
39x = 360
x = 9.23 (rounded to the nearest tenth)
Therefore, the length of AD is approximately 9.2 units.
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which statement is true about the result considering a significance level of 5%?
oA. the result is not statistically significant, which implies that this results could me due to random chance.
oB. The result is statistically significant which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate
oC. The result is not statistically significant which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate
oD. The result is statistically certificate which implies that spraying the corn plants with the new type of fertiliter does increase the growth rate
If the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
What is the meaning of significance level?The term significance level has to do with the probability of rejecting the null hypothesis even though it is true.
The significance level tells us if a result is statistically significant. Thus, if the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.'
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A)The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Did the project
hi i need the answer to this
Answer:
She forgot about the negative sign in front of the 3.7, therefore, she added 3.7 to -3.3 which is equals to 0.4
Parallelogram P Q R S is rotated about point Q 180 degrees to form parallelogram P prime Q prime R prime S prime. Parallelogram P prime Q prime R prime S prime is reflected across line of reflection l to form parallelogram P double-prime Q double-prime Q double-prime S double-prime. Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"? Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?
The composition of transformations that maps figure PQRS to figure P"Q'R"S" is a rotation of 180 degrees about point Q, followed by a reflection across the line of reflection l.
In general, when applying multiple transformations to a figure, we need to perform them in a specific order to get the desired result. This order of transformations is known as the composition of transformations.
In this case, the rotation of 180 degrees about point Q followed by the reflection across line l can be written as a composition of transformations:
R = Rl ∘ RQ
where RQ is the rotation of 180 degrees about point Q and Rl is the reflection across line l.
The order of transformations matters, so Rl ∘ RQ is not the same as RQ ∘ Rl.
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A button machine produces one button in 0. 15 seconds. How many buttons are produced in 48. 6 seconds?
Answer: 324
Step-by-step explanation:
Ratio--> 1/0.15=x/48.6
Do the butterfly method of multiplying
0.15x=48.6
Divide by 0.15 on both sides
48.6/0.15=324
Find the equation of the straight line RS. A)y = -2x + 3 B)y = -2x + 6 C)y = 2x + 3 D)y = 2x + 6
The equation of the line passing through the points (0, 6) and (3, 0) is y = -2x + 6.
What is the slope of the equation?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
To find the equation of the line passing through the points (0, 6) and (3, 0), we can use the two-point form:
y - y1 = m(x - x1)
where (x1, y1) is one of the given points, and m is the slope of the line.
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the given points, we get:
m = (0 - 6) / (3 - 0)
= -6 / 3
= -2
Substituting this value for m and the coordinates of one of the given points into the two-point form, we get:
y - 6 = -2(x - 0)
Combining like terms and multiplying through the parentheses, we get:
y = -2x + 6
Hence, the equation of the line passing through the points (0, 6) and (3, 0) is y = -2x + 6.
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Martin tracked the amount of water he drank for an entire week. The bar graph shown here displays the information about his water consumption.
What is the mode of the daily data?
A) 8
B) 10
C) 12
D) 14
Answer:
c) 12
Step-by-step explanation:
since on the bar graph 12 occurs the most that is the mode so hope this helps!
Five identical rectangular pieces of cloth of different prints when arranged as shown form a square patch. If the perimeter of each rectangular piece is 48 cm, what is the perimeter of the square patch?
(With explanation)
Answer:
Perimeter of the square patch is 240 cm.
Step-by-step explanation:
If the perimeter of each rectangular piece is 48 cm, then the length of each side of each rectangular piece is 12 cm. When the rectangular pieces are arranged to form a square patch, the patch will have 5 rows and 5 columns of rectangular pieces. Since the rectangular pieces are identical, the length of each side of the square patch will be 5 times the length of one side of a rectangular piece. Therefore, the length of each side of the square patch will be 5 * 12 cm = 60 cm.
The perimeter of the square patch is the sum of the lengths of all four sides of the patch. Since all sides of the patch have the same length, the perimeter of the square patch will be 4 * 60 cm = 240
sketch the region enclosed by the given curves. y = cos(x), y = sin(2x), 0 ≤ x ≤ 2
To sketch the region enclosed by the curves y = cos(x) and y = sin(2x) for the interval 0 ≤ x ≤ 2, we can follow these steps:
1. Plot the graphs of the two functions separately on the given interval.
For y = cos(x):
- Start by marking key points on the graph: (0, 1), (π/2, 0), (π, -1), (3π/2, 0), (2π, 1).
- Connect the points smoothly to create a curve that oscillates between 1 and -1.
For y = sin(2x):
- Start by marking key points on the graph: (0, 0), (π/4, 1), (π/2, 0), (3π/4, -1), (π, 0), (5π/4, 1), (3π/2, 0), (7π/4, -1), (2π, 0).
- Connect the points smoothly to create a curve that oscillates between 1 and -1, but with twice the frequency of the cosine curve.
2. Identify the region enclosed by the curves.
- The region enclosed by the curves is the area between the two curves from x = 0 to x = 2.
3. Shade the region enclosed by the curves.
- Shade the area between the two curves on the interval 0 ≤ x ≤ 2.
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Please answer this question for me
I GOT THIS ANSWER
IS THIS RIGHT?
(3) The table shows some values of the linear
function f(n). Find the linear equation of f(n)
n f(n)
6-1
4 2
2 5
The linear equation of f(n) would be -3/2 n + 4.
What is linear function f(n) ?
A linear function is one with the equation f(x) = ax + b, where a and b are real values. The gradient of the line is represented by a, while the y-axis intercept is represented by b. (which is sometimes called the vertical intercept).
A linear equation can be represented as f(n) = mn + b, where m is the slope and b is the y-intercept.
To find m and b, we can use two points from the table.
Let's use the points (6, -1) and (4, 2).
The slope, m, can be found using the formula:
m = (f(n2) - f(n1)) / (n2 - n1)
Plugging in the values from the points, we get:
m = (2 - (-1)) / (4 - 6)
m = 3 / (-2)
m = -3/2
Now that we have m, we can use one of the points and the slope to find b. Let's use the point (6, -1).
f(n) = mn + b
-1 = (-3/2)(6) + b
Solving for b, we get:
b = -1 + (3)(3) = 4
So the linear equation of f(n) is:
f(n) = -3/2 n + 4
Thus, The linear equation of f(n) would be -3/2 n + 4.
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Work out the value of 5 to the power of a if it equal 1/125
Answer:
a = -3
Step-by-step explanation:
Step 1: Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:
5^a = 1/125
Step 2: Take the log of both sides
log(5^a) = log(1/125)
Step 3: According to the power rule of logs, we can bring a down and multiply it by log(5):
a * log(5) = log (1/125)
Step 4: Divide both sides by log(5) to solve for a:
(a * log(5) = log(1/125)) / log(5)
a = -3
Optional 5: We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:
5^-3 = 1/125
1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator
1/125 = 1/125
when xyz is trading at 40, an xyz 30 put sold at 3 would be a) at parity. b) at the money. c) out of the money. d) in the money.
The correct answer is (d) in the money. The XYZ 30 put sold at 3 is in the money because the strike price is lower than the current market price of XYZ, indicating the potential for the option holder to gain if they were to exercise the option.
To determine the status of an XYZ 30 put option sold at 3 when XYZ is trading at 40, we need to understand the concepts of "at parity," "at the money," "out of the money," and "in the money" in options trading.
- At parity: An option is said to be at parity when its market price is equal to its intrinsic value. Intrinsic value refers to the amount by which an option is in the money. If an option is at parity, there is no inherent gain or loss in holding the option.
- At the money: An option is considered at the money when the strike price of the option is equal to the current market price of the underlying asset. In this case, the XYZ 30 put would be considered at the money if the XYZ stock is trading at 30, which is not the case in this scenario.
- Out of the money: An option is out of the money when the strike price is higher for a put option (or lower for a call option) than the current market price of the underlying asset. In this scenario, since the XYZ 30 put has a strike price of 30 and XYZ is trading at 40, the put option is out of the money.
- In the money: An option is in the money when the strike price is lower for a put option (or higher for a call option) than the current market price of the underlying asset. In this case, since the XYZ 30 put has a strike price of 30 and XYZ is trading at 40, the put option is in the money.
Therefore, the correct answer is (d) in the money. The XYZ 30 put sold at 3 is in the money because the strike price is lower than the current market price of XYZ, indicating the potential for the option holder to gain if they were to exercise the option.
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A metal with a specific heat of 0.900 J/g °C requires 1,040 J of heat to
raise the temperature (the change in temperature) by 5 °C. What is
the mass of the metal
PLEASE HELP GIVING OUT BRAINLEST
Answer:
231.1 gm
Step-by-step explanation:
1040 J / .9 j/(gm-C) / 5C = 231.1 gm
The mass of the metal is 231.111 gram.
What is specific heat?The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.
The formula for heat is given by the formula,
Q = mC(ΔT)
Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,
Q = mC(ΔT)
1,040 = m × 0.900 × 5
m = 1040/(0.900×5)
m = 231.111 g
Hence, the mass of the metal is 231.111 gram.
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Dad is getting food ready for my birthday party! Including me, there will be 16 people at the party. Dad is baking cookies for us! He can bake 20 cookies per batch.
How many batches should I tell Dad to make so we can each have 3 cookies?
Answer:
he has to cook 3 batches of cookies