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Related Questions
Consider the following vectors.
u = i + 4 j − 2 k, v = 4 i − j, w = 6 i + 7 j − 4 k
Find the scalar triple product u · (v ⨯ w).
u · (v ⨯ w) =
Are the given vectors coplanar?
Yes, they are coplanar.
No, they are not coplanar.
Need Help? Read It
Answers
The scalar triple product is 0.
If v = 4i - j and w = 6i + 7j - 4k, then their cross product is
v × w = (4i - j) × (6i + 7j - 4k)
v × w = 24 (i × i) + 28 (i × j) - 16 (i × k) - 6 (j × i) - 7 (j × j) + 4 (j × k)
v × w = 28k - 16 (-j) - 6 (-k) + 4i
v × w = 4i + 16j + 34k
and
u • (v × w) = (i + 4j - 2k) • (4i + 16j + 34k)
u • (v × w) = 4 + 64 - 68
u • (v × w) = 0
Yes, they are coplanar.
The vectors v and w together span a plane. v × w is a vector that is perpendicular to this plane. Since the dot product of u with this vector is 0, this means u is perpendicular to v × w, which in turn means that u is in the same plane as v and w.
You get paid $10 an hour. How many hours do you gotta work till you make $5000
Answers
Answer:
500 hrs equal to 5000 dollars
A spinner has 5 equally
sized sections, 3 of which are gray and 2 of which are blue. The spinner is spun twice. What is the probability that the first
spin lands on gray and the second spin lands on blue ?
Write your answer as a fraction in simplest form.
DO
х
5 ?
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Look at the two graphs. Make two statements that compare/contrast the two graphs.
Answers
Answer:
both same as in the diffecnce of the number of addition
Step-by-step explanation:
7. Michael deposited $200 into his bank account. He then wrote checks for
$20 and $30. Then he deposited $40 dollars more. Which of the following
represents the changes in the value of Michael's account?
a) 200 - 20-30 + 40
b) 200 - 20 + 30 + 40
c) 200 + 20 - 30 - 40
d) 200+ 20 - 30 + 40
Answers
Answer:
a) 200-20-30+40
Step-by-step explanation:
represents the changes in the value of Michael's account is d) 200 + 20 - 30 + 40.
Step-by-step explanation:
Known :
Michael deposited $200 into his bank account, He then wrote checks for $20 and $30, Then he deposited $40 dollars more.Asked :
Which of the following represents the changes in the value of Michael's account?
Answered :
$200 + $20 - $30
= 200 + 20 - 30 + 40.
what is the value of y
a cannot be determined
b 120°
c 60°
d 66°
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All 3 Angles = 180
60 + 60 + x = 180
120 + x = 180 (subtract 120 from each side)
X = 60
Can someone help me with this one please
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Answer:
1.)no
2.)yes
3.)yes
4.)no
5.)yes
6.)no
7.)yes
8.)yes
9.)no
10.)no
11.)yes
12.)yes
13.)yes
14.)no
15.)no
16.)yes
17.)no
18.)yes
19.)no
20.)no
21.)yes
22.)yes
23.)yes
24.)yes
Step-by-step explanation:
i hope that helps..
Which number is a perfect cube?
03
O 15
064
0 567
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3+2-1+[(5+2-3+10-4)+(2+7-6):(5+2-8)+3]
Answers
Answer:
= 14/1
= 14
Step-by-step explanation:
The number of workers w(t) for each Medicare beneficiary (each person receiving Medicare benefits) is approximated by the function w(t)=-0.05 t+4,$ where t is the number of years after 2000. Use an inequality to determine those years for which there will be less than 2 workers for each Medicare beneficiary.
Answers
Step-by-step explanation:
In 2020, 62.6 million people were enrolled in the Medicare program, which equates to 18.4 percent of all people in the United States. Around 54 million of them were beneficiaries for reasons of age, while the rest were beneficiaries due to various disabilities.
Write the equation of the line that passes through the points (3,-2) and (-2,8).
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find the slope (m) of line passing through points (3 , -2) and (-2 , 8) :
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{ - 2 - 8}{3 - ( - 2)} [/tex][tex] \dfrac{ - 10}{5} [/tex][tex] - 2[/tex]slope (m) = -2
now, let's plug the value of slope (m) and coordinates of point (3 , -2) to find c (y - intercept)
[tex]y = mx + c[/tex]
[tex] - 2 = (3 \times - 2) + c[/tex][tex] - 2 = - 6 + c[/tex][tex]c = - 2 + 6[/tex][tex]c = 4[/tex]Y - intercept of the given line is 4, so the required equation will be :
[tex]y = - 2x + 4[/tex]Please help me with this question now
Answers
Answer:
1. Cheque and Debit card
2. Saving account and Chequing account
3. Routine transaction and Transaction register
4. NSF cheque
5. Overdraft protection
6. Financial situation
Step-by-step explanation:
Help?
Slope= 9, (-5,2)
Answers
y = 9x + 47
Explanation: slope intercept equation is represented by y = mx + b. M represents slope and B represents the y-intercept (which is the place where the graph crosses the y-axis.) So using the info we know about the graph going through (-5, 2) and that the slope is 9 (or m = 9) then we could determine that the y-intercept is 47. Now, using everything we have found thus far, we can fill in the slope intercept equation.
The graph is shown below:
at what ordered pair do the lines x=4 and y=-3 intersect?
Answers
y = -3 is a horizontal line. Similarly, the y-coordinate will always stay the same regardless of any x-coordinate paired with it.
Therefore, they will intersect at point (4, -3).
since 1995, the daily cost of patient care in community hospitals in the US has increased about 4% pee year. in 1995, such hospital costs were an average of $968 per day. Write an Equation to model the cost of hospital care since 1995.
Answers
Answer:
answer below
Step-by-step explanation:
y = 968(1 + 0.04)^t. This is before adding it
y = 968(1.04)^26. This is after adding it and including the years for t = time.
I hope this helps, sorry if it doesn't
The base of a trangle with a height of 7 units is represented by the formula b+2/7A. The base or a triangle is less than 10 units. Write and solve an Inrquality that represents the possible area A of the triangle
Answers
Step-by-step explanation:
hdhebrvd0jdjbrvrbdjxjdndbxbdje I veebjdxhyxhdnebeve
What is cos(338)? Solve by hand, no calculator.
Correct answer gets BRAINLIEST.
Answers
9514 1404 393
Answer:
0.927184
Step-by-step explanation:
Assuming you want cos(338°), it is equal to cos(22°). This value is an irrational root of a 26th-degree polynomial. (Neither the polynomial, nor the root are easy to find by hand.)
The values of trig functions for 30° and 45° are well-known, as are half-angle and angle sum/difference formulas. The nearest angle for which cosine is relatively easy to find is 22.5°. A 2nd-order Maclaurin series expansion of the cosine function about that angle gives the approximation ...
cos(x) ≈ cos(π/8)(1 -π²/128) +π/8·sin(π/8) +(π/8·cos(π/8) -sin(π/8))x -1/2·cos(π/8)x²
For your angle of 22°, the value of x needed in this expression is 11π/90. The values of cos(π/8) and sin(π/8) are the irrational numbers ...
cos(π/8) = √(2 +√2)/2 ≈ 0.92387953
sin(π/8) = √(2 -√2)/2 ≈ 0.38268343
If you use the approximation pi ≈ 355/113, both for the above formula and for the angle of interest, this reduces to the sum ...
cos(22°) ≈ 71√(2-√2)/16272 +132383951√(2+√2)/264777984
This would be tedious to calculate by hand, but is not impossible. The value this sum produces will be correct when rounded to 7 decimal digits.
__
Before calculators, trig function values were found in published tables. These days, tables are available on-line. Previously, they were published in books, usually along with information that helped with interpolation between table values, when necessary. The attachment shows a portion of an online cosine table suitable for answering your question.
_____
Additional comment
Before calculators, mathematicians spent lifetimes calculating accurate trig tables. For all but a very few angles, the cosine function of rational degree values will be an irrational number, as it is for cos(22°).
Hey ! Can anyone help with this question please and thanks
Answers
Answer:
x=9
Therefore angles 7x-4 = 6x-4 = 59 degree
Step-by-step explanation:
7x-4 = 6x-4 Findings; alternate angles
Although any coefficient angles can be set = to each other.
7x-6x-4 = +5 Subtract 6x from both sides
x -4 = 5
x = 5+4 Add 4 to each side
x = 9
Find the angle degree
6(x) + 5 = 7(x) - 4 Plug 9 in to x
6(9) + 5 = 7 (9) - 4
54 + 5 = 63-4
59 = 59
x = 59 degree.
HELP PLEASE
will mark brainliest
Answers
Explanation: :b
please help asap!!!!!!
Answers
Answer:
56
Step-by-step explanation:
1. We can use the exterior angle theorem to find the value of y. The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two remote sides. This means that (y - 25) + (y + 12) = y + 43
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex]y + 43 = y - 25 + y + 12[/tex] [tex]y + 43 = (y+y)+(-25+12)[/tex] [tex]y + 43 = 2y -13[/tex]Step 2: Subtract 2y from both sides.
[tex]y + 43 - 2y = 2y - 13 - 2y[/tex] [tex]-y + 43 = 13[/tex]Step 3: Subtract 43 from both sides.
[tex]-y + 43 - 43 = 13 - 43[/tex] [tex]-y = -56[/tex]Step 4: Divide both sides by -1.
[tex]\frac{-y}{-1} = \frac{-56}{-1}[/tex] [tex]y = 56[/tex]Step 5: Check if solution is correct.
[tex](56) + 43 = (56) - 25 + (56) + 12[/tex] [tex]109 = 31 + 56 + 12[/tex] [tex]99 = 87 +12[/tex] [tex]99 = 99[/tex]Therefore, y = 56.
Suppose the value of x varies from x = a to x = b . There are at least two ways of thinking about what percent x changed by. We'll explore two of them here. For each of the following questions, write an expression in terms of a and b to answer the question. Method 1 b is how many times as large as a ? times as large Therefore, b is what percent of a ? % Hence, if x varies from x = a to x = b , x changes by what percent?
Answers
The change in the value of x, as a percentage, is given by:
[tex]\frac{b - a}{a} \times 100\%[/tex]
The percentage change is given by the change multiplied by 100% and divided by the initial value.
In this question, x varies from [tex]x = a[/tex] to [tex]x = b[/tex], which means that the initial value is a, and the change is b - a. Then, the percentage chance in the value of x is given by:
[tex]\frac{b - a}{a} \times 100\%[/tex]
A similar problem is given at https://brainly.com/question/24729807
Answer:
Step-by-step explanation:
i. b is how many times as large as a?
b/a
ii. Therefore, b is what percent of a?
b/a*100
iii. Hence, if x varies from x=a to x = b, x changes by what percent?
(100b)/a-100
Note that a change can be an increase or a decrease.
For an increase, use a positive number.
For a decrease, use a negative number.
(a) Laura pumped 7 gallons of water into her pool each minute for 14 minutes. What was the total change in the amount of water in the pool?
Answers
Answer:
7 gal/min * 14 min = 98 gallons
Step-by-step explanation:
Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = x^3 + 10x^2 + 15x – 14
Answers
9514 1404 393
Answer:
±1, ±2, ±7, ±14
Step-by-step explanation:
The rational root theorem tells you any rational roots will be of the form ...
±(divisor of the constant)/(divisor of the leading coefficient)
For this function, that means rational roots will be of the form ...
±(divisor of 14)
Those divisors are 1, 2, 7, 14. Possible rational roots are ...
±1, ±2, ±7, ±14
_____
Additional comment
The graph shows this function has 3 irrational roots.
Describe how to graph a line using the slope amen y intercept
Answers
Answer:
The Slope-Intercept form of the equation of a line is: y=mx + b
where m=slope (often called 'rise over run')
b = y-intercept (the point on the y-axis when x=0)
Two baseball teams are playing each other twice. Enter the values to complete the possible outcomes for one team. Use W for a win and L for a loss. Then enter the number of outcomes in the sample space.
Answers
First game W second L
First game L second L
First game L second W
Answer:
2+2+2 x 2 so 12
Step-by-step explanation:
well since there’s two teams either of thme could win or lose or tie I think I’m I wrong though I’m really tired so
Find the LCD for the list of rational expressions . 2/(9x), 16/(3x + 6)
Answers
Answer:
9×(×+2)
Step-by-step explanation:
i think its ur choice if ur gonna copy the answer
pls answer fast I don't know how to do this stuff
Answers
Answer:
it is 1024 terabytes or 1 million gigabytes. It is 2 to the 50th power. 3 to the 11th power for this example. 179622.425146 or 3*10^15
pls mark brainliest
7. A caterer knows there is one broken egg in every 3 cartons. A carton contains 12 eggs.
A caterer plans to serve 1200 eggs. What is the best estimate the number of cartons the caterer should buy?
Answers
9514 1404 393
Answer:
103
Step-by-step explanation:
For 1200 eggs, the caterer needs ...
(1200 eggs)/(12 eggs/carton) = 100 cartons
of unbroken eggs.
The rate of broken eggs is 1 in 3×12 = 1 in 36, so the caterer must buy 36 eggs for each 35 unbroken eggs delivered.
Then the number of cartons that must be purchased is ...
(100 cartons)(36/35) = 102 6/7 cartons
The caterer should buy 103 cartons of eggs.
help me I don't get this ?
Answers
Answer:
Solution: (3,5)
Step-by-step explanation:
y = x + 2 and
y = - x + 8
y = y
x + 2 = -x + 8
x + x = 8 - 2
2x = 6
x = 6/2
x = 3
Substitute x for 3 in one of the equations to find y.
y = 3 + 2
y = 5
Can anyone help me with this question
Answers
Answer:
The last one.
Step-by-step explanation:
Just do the things inside the ()'s first. Then work your way out. Hope this helped!