Given the following equation, we have: $$||0|| = 2$$$$||w|| = 2$$. The angle between v and w is 0.3 radians.
(a) v.W = |v|.|w|.cos(0.3)
We can write the above equation as: $$v.W = 2|v| cos(0.3)$$
Since the length of vector W is 2, we have: $$v.W = 4 cos(0.3)|v|$$$$v.W = 3.94|v|$$$$|v| = \(\frac{v.W}{3.94}\$\$\)
(b) To find ||v + 4w||, we have: $$||v + 4w|| = \(\sqrt{(v+4w).(v+4w)}\$\$\$\$||v + 4w|| = \sqrt{v^2 + 16vw + 16w^2}\$\$\)
We know that $$v.W = 4 cos(0.3)|v|$$
Thus, we can rewrite ||v + 4w|| as: $$||v + 4w|| = \(\sqrt{v^2 + 16cos(0.3)|v|w + 16w^2}\$\$\)
(c) To find ||v - 4w||, we have: $$||v - 4w|| = \(\sqrt{(v-4w).(v-4w)}\$\$\$\$||v - 4w|| = \sqrt{v^2 - 16vw + 16w^2}\$\$\)
We know that $$v.W = 4 cos(0.3)|v|$$
Thus, we can rewrite ||v - 4w|| as: $$||v - 4w|| = \(\sqrt{v^2 - 16cos(0.3)|v|w + 16w^2}\$\$\)
Hence, we can use these equations to calculate the values of (a), (b), and (c).
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An oil is well produced 2356 barrels per day. How many barrels would it produce in april
Answer:
The oil would produce 70,680 barrels in April.
Step-by-step explanation:
There are 30 days in April.
2356 x 30 = 70,680
Why is it not possible to have 100% confidence? Explain. Question content area bottom Part 1 Choose the correct answer below. A. A 100% confidence interval is not possible only if an absurdly wide interval of estimates is provided. B. A 100% confidence interval is not possible only if the entire population is sampled. C. A 100% confidence interval is not possible unless either the entire population is sampled or an absurdly wide interval of estimates is provided. D. None of the above
The correct answer is C, A 100% confidence interval is not possible unless either the entire population is sampled or an absurdly wide interval of estimates is provided.
A confidence interval is a statistical range that provides an estimate of the true population parameter with a specified level of confidence. The confidence level represents the proportion of times the interval will contain the true parameter if repeated sampling is done.
However, achieving a 100% confidence level would require either sampling the entire population (which is often impractical or impossible) or providing an absurdly wide interval that covers all possible values. In reality, there is always a degree of uncertainty and variability in sampling, and the sample may not fully represent the entire population. Therefore, a 100% confidence interval is not possible in most practical situations.
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in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4. in how many ways can places 1 through 4 be determined?
In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.
Define permutation.The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. Combinations exist when the order doesn't matter, but permutations exist when it does. A permutation could be described as an ordered combination. The following formula determines how many permutations of n objects, taken r at a time: P(n,r)=n!
Given,
Ways 7 runners can places 1 through 4 be determined:
By using permutation:
7!
7 ×6 × 5 ×4×3×2×1
5040
In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.
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What is a percentage multiplyer
I don't have a question i just need brainly points:)
Sooooooooo
Vote as brainlyest!!
Answer:
Ok
Step-by-step explanation:
Answer:
That's not how you get brainliest haha
Step-by-step explanation:
You get brainliest when you answer a question. If the creator of the question thinks that your answer was great and it helped them, then they can mark it brainliest!
Hope this helps :)
A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? a. 2
b. 4
c. 6.5
d. 7
The bug changes direction at t = 4. This can be answered by the concept of velocity.
To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.
To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.
Therefore, the bug changes direction at t = 4.
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Monique pagou a compra de três camisetas com uma nota de R$50,00. Cada camiseta custou R$10,75. Quanto ela recebeu de troco?
Step-by-step explanation:
31,25 reais de troco linda
Which of the expressions shown evaluate to negative rational numbers? Select all that apply. Multiple select question. cross out A) ( − 9 ) 4 cross out B) ( − 4 5 ) 3 cross out C) ( − 3 8 ) 2 cross out D) 3 5 − 10 4 cross out E) ( 9 . 8 ) 2 − 10 2
The negative rational numbers are -9/ 4, -20/ 3 . Option A and B
What are rational numbers?A rational number can be defined as a number that is expressed as a fraction where both the numerator and the denominator are integers.
Examples of rational numbers are;
-1/ 2, 3/ 5, 9/ 2 -3/ 5
Given the expressions;
(-9)/ 4 = -9/4(-4 5) /3 = - 20/ 3(-3 8 ) /2 = -24/ 2 = -12(3 5) - 10/ 4 = 15 - 10/ 4 = 5/ 4(9. 8)2 - 10(2) = 72(2) - 20 = 144 - 20 = 124The rational numbers are -9/4 , -20/ 3 , 5/4
Thus, the negative rational numbers are -9/ 4, -20/ 3 . Option A and B
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Hannah has liabilities totaling $30,000 (excluding her mortgage of $100,000 ). Her net worth is $45,000. What is her debt-to-equity ratio? 0.75 0.45 0.67 1.30 1.00
Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.
Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.
We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.
We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.
Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.
Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)
Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.
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1) Use the TI-84 calculator to find the z-score for which the area to its left is 0.73. Round the answer to two decimal places. The z-score for the given area is __. 2) Use the TI-84 calculator to find the z-score for which the area to its right is 0.06. Round the answer to two decimal places. The z-score for the given area is __.
A z-score (or standard score) represents the number of standard deviations a data point is from the mean of a distribution. 1)The z-score for the given area is 0.61, rounded to two decimal places. 2) The z-score for the given area is 1.56.
To find the z-scores using a TI-84 calculator, follow the steps below:
1. To find the z-score for which the area to its left is 0.73, follow these steps:
Press the 2ND key and then press the VARS key to access the DISTR menu.Select option "3: invNorm(".Enter the area to the left (0.73) followed by a closing parenthesis: invNorm(0.73).Press ENTER to calculate the z-score.The z-score for the given area is approximately 0.61, rounded to two decimal places.
2.To find the z-score for which the area to its right is 0.06, follow these steps:
The z-score for the given area is approximately 1.56, rounded to two decimal places.
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In the equation IX=b, if b<0, then how many solutions are there for x? Think about this: b is a number less than 0
If we assume x and b are real numbers:
|x| = √(x²)
So:
√(x²) = b
Where b<0
x will be always positive, because every number squared is positive
So, the left hand side of the equation will be positive. And since the right hand side of the equation will be always negative, because they tell us that b<0, we can conclude that it is absurd:
√(x²) ≠ b
Therefore, no solutions exist
The answer is Zero
an anchor weighing 100 lbs in water is attached to a chain weighing 3 lb/ft in water. find the work done to haul the anchor and chain to the surface of the water from a depth of 25 ft.
In linear equation, 3437.5 feet - lbs is the work done to haul the anchor .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Anchor weighing = 100 lbs
given 3 lb/ft
the combined weight = 3( 25 -y ) + 100
= 175 - 3y
the workdone on small solution is = (175 - 3y)Δy
w = ∫₀²⁵ (175 - 3y) dy
= 175[y]²⁵₀- 3/2[y²]²⁵₀
= 175 [ 25 - 0 ] - 3/2 [ 25²- 0²]
= 3437.5 feet - lbs
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Guerby ran 10 miles in 2 hrs, how many miles did he run in 1hr?
Answer:
5 not including rests and what speed.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Joanne deposited $10,000 into an account that earns 5.5% compound interest, compounded annually. How much interest will Joanne earn after 10 years
Answer:
55.0%
Step-by-step explanation:
I used a calculator
The Phillips curve describes the relationship between... a. The output gap and potential GDP. O b. The money supply and interest rates. C. The unemployment rate and the rate of change of wages. O d. A
The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.
What is Phillips curve?
The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.
According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."
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Find the probability of landing on yellow, the probability of the complement, and the sum of the event and the complement. Type your answers without any spaces.
We can write the probabilities as -
P{yellow} = 0.2
P'{yellow} = 0.8
P{yellow} + P'{yellow} = 1
What is probability?The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%Given is to find the probability of landing on yellow.
Area covered by yellow = {72°/360°} x πr²
Total area = πr²
We can write the probability as -
P{yellow} = {72/360} x πr²/πr²
P{yellow} = {72/360}
P{yellow} = 0.2
P'{yellow} = 1 - P{yellow}
P'{yellow} = 1 - 0.2
P'{yellow} = 0.8
P{yellow} + P'{yellow} = 0.2 + 0.8 = 1
P{yellow} + P'{yellow} = 1
Therefore, we can write the probabilities as -
P{yellow} = 0.2
P'{yellow} = 0.8
P{yellow} + P'{yellow} = 1
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A factory process requires 3 steps to finish a product. The steps each have a mean completion time of μ=10 seconds and a standard deviation of σ=5 seconds. The time it takes to complete each step is independent from the other steps. Let T be the total completion time of the 3 steps on a randomly chosen product.
Find the mean of T.
Answer:
The mean of T is 10 seconds
Step-by-step explanation:
The given parameters are;
The mean completion time of each step, μ = 10 seconds
The standard deviation, σ = 5 seconds
Each step is independent from the other steps
The variable that represents the total completion time for the three steps = T
We have the mean of T, \(\overline T\), given by the combined mean as follows;
\(\overline T = \dfrac{n_1 \cdot \overline x_1 + n_2 \cdot \overline x_2 + n_3 \cdot \overline x_3 }{n_1 + n_2 + n_3 }\)
Where;
\(The \ mean \ completion \ time \ for \ each \ step \ is \ \overline x_1 = \overline x_2 = \overline x_3 = 10 \ seconds\)
n₁ = n₂ = n₃ = 1, each step is taken only once, we have;
\(\overline T = \dfrac{1 \times 10 + 1 \times 10 + 1 \times 10 }{1 + 1 + 1 } = \dfrac{30}{3} = 10 \ seconds\)
Therefore, the mean of T = 10 seconds
Using the normal distribution, it is found that the mean of T is of 30 seconds.
A normal distribution has two parameters: Mean \(\mu\) and standard deviation \(\sigma\).
For n instances of a normal variable, the mean is \(n\mu\) and the standard deviation is \(s = \sigma\sqrt{n}\).In this problem, the mean is \(\mu = 10\) and the standard deviation is \(\sigma = 5\).
For the total completion, there are 3 instances, hence \(n = 3, n\mu = 3(10) = 30\), hence, the mean of T is of 30 seconds.
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Find the volume of the rectangular prism.
To find the volume, you need to multiply all the values together.
1/3 x 5/6 x 2/3 = 5/27
Examine the figure of two parallel lines cut by a transversal.
(2x + 10)°
What is the value of x?
(2x-30)
©2017 StrongMind. Created using GeoGebra
The value of x will be;
⇒ x = 50
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
Two parallel lines cut by a transversal.
Now,
Since, Two parallel lines cut by a transversal.
Hence, By definition of co-interior angle, we get;
The sum of co-interior angle in supplementary.
Hence, We get;
⇒ (2x + 10)° + (2x - 30)° = 180°
⇒ 4x - 20 = 180
⇒ 4x = 180 + 20
⇒ 4x = 200
⇒ x = 200/4
⇒ x = 50
Thus, The value of x = 50
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Gina has 440 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Answer:
THerefore, the area would be 12,100 square yardsStep-by-step explanation:
Let the length be x and the width be y
The perimeter of a rectangle is give as ; 2 ( L + B) , that is
We know the perimeter formula would be 440=2x+2y. And the area will be A=x*y
We can to take the derivative of the area formula to find where it is a max but we must first substitute something in from the first formula so we only have one variable.
440-2x=2y
220-x=y
A=(x)*(220-x)
A=220x-x^2
Now we take the derivative:
A'=220-2x (set equal to 0 and solve)
0=220-2x
2x=220
x=110
Then when we plug this into the perimeter formula, we can solve for y
440=2x+2y
440=2(110)+2y
440=220+2y
220=2y
y=110
So both the length and width are 110 yards, and the area would be 12,100 square yards
THerefore, the area would be 12,100 square yardsA weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of −8°C per hour. What was the temperature 1 hour ago?
Answer:
Step-by-step explanation:
Absolute zero, the lowest temperature possible, is defined as being exactly 0 K and −273.15 °C. Until 19 May 2019, the temperature of the triple point of water was defined as exactly 273.16 k
plese help thank yous
solve the equation for the given variable.-8+5m-14=-5+m+7m=
We have the following equation given:
\(-8+5m-14=-5+m+7m\)And we need to solve for m. So we can start aggrupating the terms like this:
\(-22+5m=-5+8m\)Now we can subtract 5m from both sides of the equation and we got:
\(-22=-5+3m\)And now we can add 5 in both sides of the equation and we got:
\(-17=3m\)And dividing by 3 got this:
\(undefined\)How is 80.106 written in expanded form?
A. (8×10)+(1×110)+(6×1100)
B. (8×10)+(1×110)+(6×11,000)
C. (8×10)+(1×1100)+(6×11,000)
D. (8×10)+(1×1100)+(6×110,000)
3 Jazmin is mailing two packages. One package weighs 3 pounds, and the other package weighs 20 ounces. What is the total weight of both packages? (1 pound = 16 ounces)
Answer:
68oz
Step-by-step explanation:
1) 3lbs x 16oz = 48
Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.
2) 48 + 20 = 68oz
3) The total weight of both packages is 68 ounces.
Jesus loves ya, have a great day!
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John 8:12 - When Jesus spoke again to the people, he said, "I am the light of the world. Whoever follows me will never walk in darkness, but will have the light of life."
What is x-intercept of y=-3x+5
Answer:
To find x intercept, u graph it
the x intercept is 1.67
Step-by-step explanation:
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Which two representations are considered to be only partial representations
Answer:
Option D is correct.
The only partial representations of the given information are the table and the graph.
This is because, on their own, they do not provide the corresponding value of y for every given x.
Step-by-step explanation:
Complete Question
Four representations of the same data are shown below.
- Verbal Description
Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.
- Equation
y = x + 4
- Table
- Graph
Cell Phone Bill
Which two representations are considered to be only partial representations?
A) the equation and the verbal description
B) the verbal description and the graph
C) the table and the equation
D) the graph and the table
Solution
A complete representation would give the total amount Stay pays in a month, given the number of minutes. There would be no domain of x (minutes charges on her phone) where there is a solution, that the complete representation wouldnt give the corresponding y (total amount of money she would pay.
Taking each of the representations one at a time.
- Verbal Description
The verbal description alone explains the subject matter to us in details. With the explanation from the verbal description, the value of y is always just there to obtain.
- Equation
y = x + 4
The equation too, alone, will give the value of y for every given value of x. So, it is also a complete representation of the subject matter all on Its own.
- Table
Although, the values of the table aren't all presented above, but it is evident that the table, no matter how long, can only give the corresponding values of y given x, to an extent. A table, on its own, would not give all the values of y, for every value of x, one can think of. Unless one of the other methods of representation has already been given, the table alone is a partial representation of the subject matter.
- Graph
Just like the table is absent Too, the graph too cannot be attached, to avoid question deletion due to violating community guidelines. But the graph Too, on its own just shows a straight line graph of y and x, over a limited range of values. It stops after that and on its own, the graph wouldn't be able to outrightly represent the subject matter as we don't know if the relationship is linear forever, or not, from just seeing a graph of y against x over a very limited range.
Hence, it is evident that the table and the graph represent partial representations of the subject matter because, on their own, they do not provide the corresponding value of y for every given x.
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This year, Zachary has been babysitting his young cousins after school for $70 a month. His uncle also
gave him an extra bonus of $100 for his excellent work. Since school started, Zachary has earned more
than $500. How many months ago did school start?
Answer:
8
Step-by-step explanation: