9514 1404 393
Answer:
a = {1, 2, 3}, b = (2, 4, 7}, c = (-3/14, -3/7, 5/14}
Step-by-step explanation:
For the above vectors, ...
a × b = a × c = (2, -1, 0)
__
Here, c is found to be a scaled version of (a×(a×b)).
Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.
a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .
Answer:
A) M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f'(1) = e' [sin(1) + cos(1) ]
D) g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
Step-by-step explanation:
Attached below is the detailed solution of the problem
A) m(w) = 3w^17 * 4^w
M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h(t) = [sin(t) + cos(t) ] t^4
h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f(x) = e^x sin (x). at a = -1
f'(1) = e' [sin(1) + cos(1) ]
D) g (x) = ( x^2 + x ) 2^x .
g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.
Answer:
18 weeks
Step-by-step explanation:im gay
Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.
Answer:
X= 32 Y= 35
Step-by-step explanation:
We know FOB is parralel to AOE meaning x= 32
also, COH = 90 so GOD is also 90.
a straight angle is 180, so
23+90+x or 32= 145,
180-145=35,
y=35
Answer:
X=32
Y=35
Step-by-step explanation:
We know x is 32 because FOB is parrallel to AOE.
We also know that DOG is 90 because COH is 90, and parallel to DOG
So, we can do:
90 + 23 + 32 =145
180-145=35, which is Y
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reason why JKL and MNO?
Answer: I hope this helps
You can use LL, HL and SAS theorems to prove that triangles are congruent.
The right triangle leg leg congruence Theorem (LL) is a theorem for right triangles that says if the two corresponding shorter legs of two right triangles are congruent, then the two triangles are congruent.
The hypotenuse leg Theorem (HL) states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The side angle side Postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Answer: correct choices are B, C and E
b.LL
c. HL
e.SAS
Answer:
LL, SAS and, HL
Step-by-step explanation:
which is expression is equivalent to 1/5÷1/2
Answer:
2.5
Step-by-step explanation:
The population of China is approximately 1.381x10^9, and the population of the US is approximately 3.23x10^8. About how many people live in both countries combined? Answer in scientific notation
Answer:
1.704 x 10⁹ people
Step-by-step explanation:
Population of China = 1.381 x 10⁹
Population of US = 3.23 x 10⁸
Problem:
Number of people in both countries combined = ?
Solution
To solve this problem, simply add them together;
Let us make the exponents the same for easy addition;
Population of China = 1.381 x 10⁹ = 13.81 x 10⁸
Poplation of US = 3.23 x 10⁸
Adding both:
(13.81 x 10⁸) + (3.23 x 10⁸)
⇒ (13.81 + 3.23) x 10⁸
⇒ 17.04 x 10⁸
⇒ 1.704 x 10⁹
Divide.
636-3
The quotient is
and the remainder is
Answer:
212
Step-by-step explanation:
3 goes into 6 = 2 times
3 goes into 3 = 1 time
3 goes into 6 = 2 times
2 → 1 → 2 = 212
A line with slope -3 passes through the points (5,2) and (9,y). Find y. (and yes I know this is a repost but the other one was wrong its not y=5)
9514 1404 393
Answer:
y = -10
Step-by-step explanation:
Using the point-slope form of the equation for a line, we can write the equation as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -2 = -3(x -5)
Using the values for the other point, this becomes ...
y -2 = -3(9 -5)
y = -3(4) +2
y = -10
Two parallel lines are crossed by a transversal,
What is the value of x?
x = 21
x = 28
x=35
115
x 37
The solution is, the value of x is, 115, as Angle x = angle 115°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Given : Two parallel lines are crossed by a transversal.
To find : What is the value of x.
Solution : We have given Two parallel lines are crossed by a transversal.
Corresponding angles : A pair of angle that lies on the same side of the transversal line one lies on interior angle and other lies on exterior.
Corresponding angle are equal.
Then , angle x = angle 115 are corresponding.
Therefore, angle x = angle 115.
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explain how you would use the communitive property of multiplication to aswer 7x3.
Answer:
since 7 times 3 is 21
Step-by-step explanation:
it would be 7+7+7 becuase you do seven times 3
hope that helped!
I need help !!!!!!!
Given , KM = 22
Then JL =
This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,
KM = JL ( the diagonals in an isosceles trapezoid are congruent )
22 = JL
JL = 22
Therefore , JL = 22 .
Solution (6) :Given , DF = 8.7
Then , EG =
Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,
DF = EG ( the diagonals in an isosceles trapezoid are congruent )
8.7 = EG
EG = 8.7
Therefore , EG = 8.7 .
10/3 = x/ (-5/2) what does x equal
The answer to the equation is [tex]x=-\frac{25}{3}[/tex]
First, you must cross multiply the fractions.
[tex]10*-\frac{5}{2} =x*3[/tex]
[tex]-25=3x[/tex]
Then, you must flip the equation.
[tex]3x=-25[/tex]
Finally, divide 3 on each side
[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]
[tex]x=-\frac{25}{3}[/tex]
What is the value of name and tell the value of the underline digit. The number is 25,678 the underline digit is 5.
The angle of a triangle are in ratio 4:5:6.what is the angle of the triangle?
Answer:
48, 60 and 72
Step-by-step explanation:
Given;
The ratios of the angle in the triangle = 4:5:6;
Unknown:
The angle of the triangle = ?
Solution:
We must understand that the sum of angles in a triangle is 180°
So as ratios; 4:5:6 denotes some certain multiples that sums up to 180°
Let the multiple number = x; so
4x : 5x : 6x
4x + 5x + 6x = 180
15x = 180
= 12
The angles in the triangles are:
4(12) : 5(12) : 6(12)
48 : 60 : 72
These angles are 48, 60 and 72
Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?
what is 0.067 reccuring as a fraction
Answer:
67/1000
Step-by-step explanation:
How to translate 0.067 to a fraction:
So you can there is the tenths place (which is considered 0 on the decimal behind the point.) The hundredths place (where the 6 is placed), and the thousandths place (where the 7 is placed.)
Since the 7 is placed at the thousandths place, that means the denominator would be 1000. The number behind the point is .067.
So the fraction would be this:
67/1000
(Also it's at it's simplest form.)
What is the perimeter of the building foundation uncovered by the archaeologists?
Answer:
Wall of Jericho
Step-by-step explanation:
The Wall of Jericho was a Pre-Pottery Neolithic A (PPNA) defensive or flood protection wall suggested to date to approximately 8000 BC.[1] If interpreted as an "urban fortification", the Wall of Jericho is the oldest city wall discovered by archaeologists anywhere in the world.[2] It is built of undressed stones and is located at the archaeological mound known as Tell es-Sultan, in the city of Jericho on the West Bank.
The topic of this article is the unique Neolithic-age stone wall, the earliest one of its kind. Other walls, such as contemporary house walls, or later, Bronze and Iron Age city walls, are only mentioned for the sake of context.
Write each phrase as an expression.
Double the sum of x and 4.
your answer should be 2(x+4)
Write 1 fifth (1|5)
as a decimal.
Answer:
The answer is 0.2
Step-by-step explanation:
=1/5
=1 Divided by 5
=0.2
list four advantages and disadvantages of measures of location
Step-by-step explanation:
Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.
Vladimir buys 1.20 pounds of Skittles, 3 1/2 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and the pretzels cost $1.10 a pound, how much did Vladimir spend?
Answer: 12.2408
Step-by-step explanation: This is what I got I hope I got it right:)
This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 66 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into nn sub-intervals. On the previous problem, you found the probability pp of one arrival during a single sub-interval for each n given. Now, compute the (estimated) probability that there will be, in fact, exactly 6 arrivals during a 30 minute interval, with each probability model:
a. Using Binomial with n=30, the chance of 6 arrivals is estimated as:__________
b. Using Binomial with n=60, the chance of 6 arrivals is estimated as:__________
c. Using Binomial with n=100n=100, the chance of 6 arrivals is estimated as:________
d. Using Poisson, the chance of 6 arrivals is estimated as:________
Required:
Use a probability calculator, and enter answers in decimal form, rounded to at least four places after the decimal.
Answer:
1. 0.1795
2. 0.1693
3. 0.1657
4. 0.1606
Step-by-step explanation:
This problem was solved using the binomial distribution
1.
N = 30
P = 6/30 = 0.2
Using binomial distribution
30C6 x 0.2⁶ x 0.8²⁴
= 593775 x 0.000064 x 0.004722
= 0.1795
2.
N = 60
P = 6/60 = 0.1
60C6 x 0.1⁶ x 0.9⁵⁴
= 50063860 x 0.000001 x 0.00338139
= 0.1693
3.
N = 100
100C6 x 0.06⁶ x 0.94⁹⁴
= 1192052400 x 0.000000046656 x 0.00297864
= 0.1657
4.
Poisson distribution was used here
e^-6(6)⁶/6!
= 0.1606
Rewrite using i. Show your work.
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 =1/4 (x – 12). What
is the standard form of the equation for this line?
Answer: y=1/4x - 2
Step-by-step explanation: The easiest way to solve this would be to graph it in point-slope form then find the slope and y-intercepts. Try using desmos for that method. There are multiple ways to convert point-slope to standard, however, and I would suggest talking to your teacher to see which method s/he prefers you use. Let me know, and I can help you more if you need it.
Hope this helps,
Lacia :))
Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?
Answer:
Mr watts needs 7 weeks
Step-by-step explanation:
The average expense per presentation = $20,000
Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000
Also the cost of meals, motels, jet travel, and support personnel total $60,000 per week. Hence the total cost per week is:
Total cost = $140000 + $60000 = $200000
The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:
Revenue per week = $40 per person × 1000 people × 7 days = $280000
Let assume the number of weeks needed to earn $560000 be x. Hence:
280000x - 200000x = 560000
80000x = 560000
x = 7
Which of the following numbers is irrational?
Which of these steps will eliminate a variable in this system? 4x-9y=8 2x+3y=24
For eliminate a variables we need addition method or elimination method.
Define the term Variable?In an equation or formula, a variable is a symbol or letter that stands in for an unknowable or varying quantity or value.
We can multiply the second equation by -2, so that the coefficient of x in both equations will be the same but with opposite signs:
⇒ 4x - 9y = 8
⇒ -4x - 6y = -48
Add the two equations together: ⇒ -15y = -40
⇒ y = 8/3
Substitute this value of y back into either equation to solve for x.
⇒ 4x - 9(8/3) = 8
⇒ 4x - 24 = 8
⇒ x = 8
Therefore, the steps to eliminate a variable in this system using the addition method are to multiply the second equation by -2, add the two equations together to eliminate the x variable, solve for y, and then substitute that value back into either equation to solve for x.
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What is
What is the measure of angle B?
A. 30°
C. 35°
Answer:
A
Step-by-step explanation:
Evaluate the following question:f(x) = 3x - 7 for f(10)
Answer:
f(10) = 23
Step-by-step explanation:
you plug in 10 for the x in the equation and then solve. So 3 x 10 = 30 then minus 7
Answer:
x=-1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=−1
Claire wants to determine how her math score 690 on a standardized college entrance exam compared to her mother score 680 what she took the exam 20 years earlier the year Clair took the exam the mean math score was 510 with a standard deviation of 110 points on Claires mother took the exam the mean math score was 490 with a standard deviation of 100 points who has the better relative performance
Answer:
Claires mother did better because her z score was greater than Claires
Step-by-step explanation:
I j took the quiz
Claire's mother did better because her z-score was greater than that of Claires.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
As per the given information, the solution would be as
Here is Claire's data:
ц₁ = 510
σ₁ = 110
X₁ = 690
⇒ z-score = (X₁-ц₁ )/σ₁
Substitute the values,
⇒ z-score = (690 - 510)/110
⇒ z-score = 180/110
⇒ z-score = 1.636
Here is Claire's mother's data:
ц = 490
σ₂ = 100
X₂ = 680
⇒ z-score = (X₂-ц )/σ₂
Substitute the values,
⇒ z-score = (680 - 490)/100
⇒ z-score = 190/100
⇒ z-score = 1.9
So Claire's mother's z-score > Claire's z-score
Therefore, Claire's mother did better because her z-score was greater than that of Claires.
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