Answer:
Using vector concepts, it is found that:
1. The horizontal component of the vector is 5.
2. The magnitude is of 14.87.
3. The vertical component of the vector is 2.
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A vector (x,y) has x as horizontal component and y as vertical component.
The magnitude is
Given two points, a vector is formed by the subtraction of the endpoint by the start point.
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Item 1:
The horizontal component of the start is -3.
The horizontal component of the end is 2.
Thus, the horizontal component of the vector is
-------------
Item 2:
Starts at (1,9), ends at (6,-5), thus, the coordinates are:
The magnitude is:
The magnitude is of 14.87.
-------------
Item 3:
The vertical component of the start is -10.
The vertical component of the end is -8.
Thus, the vertical component of the vector is
Step-by-step explanation:
Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−[infinity], [infinity]). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} = $$ Correct: Your answer is correct. Determine whether f1, f2, f3 are linearly independent on the interval (−[infinity], [infinity]).
9514 1404 393
Answer:
(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of tNOT linearly independentStep-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
True or false? Please help.
Answer:
True
Step-by-step explanation:
Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.
Answer:
True
Step-by-step explanation:
Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.
Blanca is considering selling her blossoming art business, but is unsure what fair value would be. A friend in accounting told her she could help if she can calculate her EBIT. She has sold 120 art collages for $300. Her expenses are minimal since she usually uses recycled materials. She estimates it costs her about $4 per collage and she has created 200 collages this year. Help her calculate her EBIT. Annual Revenue Annual Expenses, and EBIT
Answer: 15x-4956
Step-by-step
this is
8x - 8 - x = 3 (6 - 2x)
Answer:
x = 2
Step-by-step explanation:
8
−
8
−
=
3
(
6
−
2
)
{\color{#c92786}{8x}}-8{\color{#c92786}{-x}}=3(6-2x)
8x−8−x=3(6−2x)
7
−
8
=
3
(
6
−
2
)
What graph represents a function with a growth factor of 5?
Answer:
The answer should be C!
Step-by-step explanation:
When you multiply the y value 0.04 and 5 it comes out as 0.02.
Match the following sentences on the left with their algebraic expression on the right.
a. The product of 5 and the sum of a number and 8
Product means multiplied, so that means 5 multiplied by some number plus 8, thus, 5(x+8)
b. A number less than 12
12-x would equal less than
c. The product of five and a number divided by 2
Again, product means multiplied, so its saying 5 times something, all divided by 2, thus, 5x/2
Please give brainliest :) hope this helps!
Answer:
A number less than twelve = 12 - x = b
The product of five and a number divided by two = 5x/2 = c
The product of five and the sum of a number and eight = 5(x+8) = a
Step-by-step explanation:
A number less than twelve
12 minus a number
12 - x
The product of five and a number divided by two
A number times 5 divided by 2
5x/2
The product of five and the sum of a number and eight
A number plus 8 times 5
(x+8)*5
5(x+8)
A sea lion jumped out of the water to a height of 3 feet above sea level. The number line shows the location of the sea lion at the top of its jump. From this location, the sea lion dove down 9 feet. Describe how to use the number line to find the new location of the sea lion.
Answer: on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think that kind of exsplains it step by step there but let me know if you information :) please leave a thanks and five stars I need some for my own quiz! Thank you!
Step-by-step explanation:
__% of 4 is 7
Please answer its due today
Answer:
175%
hope that helps. :)
Negative 1/3 in decimal form
Answer:
-0.3333334
Step-by-step explanation:
common sense
Answer:
-0.33
Step-by-step explanation:
Explicit Formula for 10,12,14,16,18
15. Reid earns $15 for each lawn he cuts. He wants to buy a new bike that costs
$109. How many lawns will he need to cut in order to have enough money?
100 Points. Help solve.
Answer:
Step-by-step explanation:
[tex]\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}[/tex]
Answer:
the second option/x = 4, y = 8√3
Step-by-step explanation:
out of the tree options, the second one makes sense
What value of x is in the solution set of -5x-15x> 10+20x
The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
(a) Show that k satisfies k^2+2k-3>0
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
To show that k satisfies k² + 2k - 3 > 0 ,the discriminant is given as Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
How to prove the expressionTo have two distinct real roots, the discriminant of the quadratic equation must be positive. The discriminant is given by;
Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
For two distinct real roots, Δ > 0. So, we have k² + 2k - 3 > 0. Thus, k satisfies the inequality k² + 2k - 3 > 0.
In summary, for the quadratic equation x² + (k - 3)x + (3 - 2k) = 0 to have two distinct real roots, the value of k must satisfy the inequality k² + 2k - 3 > 0
Learn about quadratic equations at: https://brainly.com/question/1214333
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what are all the questions?♀️ step by step please
Answer:
which questions pls, where are they
need help with this plz
Answer:
[tex]x = \frac{ - 24 \pm \sqrt{ - 288} }{4} \\ = \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\ = \frac{ - 24 \pm \sqrt{ - 1} \sqrt{ {12}^{2} } \sqrt{2} }{4} \\ = \frac{ - 24 \pm i 12\sqrt{2} }{4} \\ =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\= - 6 \pm \: i3 \sqrt{2} [/tex]
You deposit $400 in an account earning 8% interest compounded annually. How much will you have in the account in 15 years?
Answer:
you will gain 280,462.92 in peso.but you convert in in dollar you will gain $5,520.00
The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and seven years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) P < x < =
Using the normal distribution, we have that:
a) The sketch of the situation is given at the end of this answer.
b) The probability is:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 4.1 years, thus [tex]\mu = 4.1[/tex].Standard deviation of 1.3 years, thus [tex]\sigma = 1.3[/tex].Item a:
The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.
Item b:
The probability is the p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8, thus:
X = 7:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7 - 4.1}{1.3}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a p-value of 0.9871.
X = 2.8:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.8 - 4.1}{1.3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.9871 - 0.1587 = 0.8284, thus:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
A similar problem is given at https://brainly.com/question/25151638
Please help me... it would be great!
3) 1 1/2 gallons for 3/4 of the room
Answer; 2 gallons for 4/4 of the room
4) 12 1/2 gallons drives 325 miles
Answer; 1 gallon drives 26 miles
30 miles in 4 hours in simplest form
Answer:
15/2
Step-by-step explanation:
30/4=7.5convert the decimal to a fraction7.5 would give you 15/2 in fraction formsince you can't simplify 15/2 anymore, 15/2 would be your answer.Jane went on a 50-minute bicycle ride. Choose the graph that best matches the given key features. Y-intercept: Jane starts at 0 miles from her house…… PLEASE HELP ILL MARK BRAINLIEST
Explanation: the correct answer is C.
9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.
Answer:
11400000
Step-by-step explanation:
1 whale = 380000 lbs
30 whale weighs 380000×30
30 whales = 11400000
What is the value of k?
2k+9=7−3k
k=−2
k=−0.4
k = 2
k = 3.2
PLEASE HELP !!!!!
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]k = -0.4[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]2k+9=7-3k\\\rule{150}{0.5}\\\rightarrow 2k + 9 = 7-3k\\\\\rightarrow 2k + 3k + 9 = 7 - 3k + 3k\\\\\rightarrow 5k + 9 = 7\\\\\rightarrow5k + 9 - 9 = 7 - 9\\\\\rightarrow 5k = -2\\\\\rightarrow \frac{5k=-2}{5}\\\\\rightarrow \boxed{k = -\frac{2}{5} = -0.4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
S= 2LW + 2LH + 2WH
solve for W
Rewrite the equation as
2lw+2lh+2wh=a.2lw+2lh+2wh=a
Subtract
2lh
from both sides of the equation.
2lw+2wh=a−2lh
Factor
2w out of 2lw+2wh.
2w(|+h)=w−2lh
Divide each term by
2(l+h)
and simplify.
.w=a−2lh2(l+h)
Given matrices A and B shown below, find (3)A+(8)B.
Answer:
[tex]\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]
4) Which number is a factor
of 24 but not a multiple
of 6?
The standard deviation of a population is 13.
What is the margin of error?
Given the value of the standard deviation of population, if the critical value is 0.65, the Margin of error will be 0.65.
What is margin of error?Margin of error simply shows how many percentage points a results will differ from the real population value.
It can be expressed as;
Margin of error = Critical value × Standard deviation
Given that;
Standard deviation S = 13Margin of error = ?Margin of error = Critical value × Standard deviation
Lets take critical value to be 0.05
Hence,
Margin of error = 0.05 × 13
Margin of error = 0.65
Therefore, given the value of the standard deviation of population, if the critical value is 0.65, the Margin of error will be 0.65.
Learn more about margin of error here: https://brainly.com/question/10501147
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TIME REMAININO
58:40
Which graph could represent a constant balance in a bank account over time?
Daily Balance
Daily Balance
Daily Balance
de
10
$
1378
Time (day)
1 2 3 4 5
Time day)
O
Daily Balance
35
Save and Exit
NE
Suband
Mark this and return
If y varies directly with x which equation describes x = 72 and y = 36?
Answer:
k = 1/2
Step-by-step explanation:
direct variation equation is y = kx where 'k' is the constant of variation
substitute 36 for 'y' and 72 for 'x' to get:
36 = 72k
solve for 'k' to get:
k = 36/72 or k = 1/2
