Answers
Answer:
i) 66
ii) 536
Step-by-step explanation:
Check attachement(s) for solution.
Attachment - 1: Solution (i)Attachment - 2: Solution (ii)
Related Questions
(0 points)
4A is an acute angle in a right triangle.
If cos A = 15/17, find the ratio for the sin A.
Explain how you solved the problem in 2-3 sentences or show your steps.
Answers
Answer:
sin A = 8/17.
Step-by-step explanation:
As cos A = 15/17 one leg of the triangle = 15 and the hypotenuse = 17.
The side length 15 is the adjacent side to angle A.
First find the length of other side of the right triangle, using the Pythagoras
Theorem:
Opposite side to ange A = √(17^2 - 15^2)
= √64
= 8 units.
sin A = opp side / hyp
= 8/17.
Find the value of m if 13m + 24m = 41m
Answers
Answer:
m=0
Step-by-step explanation:
Add
13m
and
24m
.37
m=
41m
Move all terms containing m
to the left side of the equation.
8ntergrate by parts |x^3 e^-x dx
Answers
I assume the integral is
[tex]\displaystyle \int x^3 e^{-x} \, dx[/tex]
Integrate by parts with
[tex]u = x^3 \implies du = 3x^2 \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
so that
[tex]\displaystyle \int u \, dv = uv - \int v \, du[/tex]
i.e.
[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \int x^2 e^{-x} \, dx[/tex]
Integrate by parts again, this time with
[tex]u = x^2 \implies du = 2x \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
and so
[tex]\displaystyle \int x^2 e^{-x} \, dx = -x^2 e^{-x} + 2 \int x e^{-x} \, dx[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \left(-x^2 e^{-x} + 2 \int x e^{-x} \, dx\right)[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \int x e^{-x} \, dx[/tex]
Once more, with
[tex]u = x \implies du = dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
[tex]\displaystyle \int x e^{-x} \, dx = -xe^{-x} + \int e^{-x} \, dx[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \left(-xe^{-x} + \int e^{-x} \, dx\right)[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} + 6 \int e^{-x} \, dx[/tex]
Finally,
[tex]\displaystyle \int e^{-x} \, dx = -e^{-x} + C[/tex]
and so
[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} - 6 e^{-x} + C[/tex]
or equivalently,
[tex]\displaystyle \int x^3 e^{-x} \, dx = \boxed{-(x^3+3x^2+6x+6) e^{-x} + C}[/tex]
We can also approach the integral more generally by considering
[tex]I_n = \displaystyle \int x^n e^{-x} \, dx[/tex]
Integrate by parts with
[tex]u = x^n \implies du = nx^{n-1} \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
Then
[tex]\displaystyle I_n = -x^n e^{-x} + n \int x^{n-1} e^{-x} \, dx = -x^n e^{-x} + n I_{n-1}[/tex]
We can solve the recurrence using the initial "value" [tex]I_0 = -e^{-x}+C[/tex] to find a general formula for [tex]I_n[/tex]. Then we get the integral we want [tex]I_3[/tex] "for free".
You walk 3/8 miles to a grocery store.Then you walk another 1/3 miles to a music store.How many miles have you walked in all
Answers
Answer:
At this point, you have walked 17/24 miles in all.
Hope this helps
I WILL GIVE BRAINLY
Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.
Answers
mark as brainliest please :)
Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geometric sequences? III only O Il and me II and IV O I and IV
Answers
A sales representative is paid a commission of N5 on every N100 sale he makes. If his commission for the week is N10,000.00, how much sales has he made
Answers
10,000/5 = 2000
2000 sales * 5 = 10,000 commision
brayden saves 1500 at a yearly simple interest rate of 2.5. how many years doess it take for the amount he has served to be double the original
I WILL GIVE U 100 POINTS
Answers
Answer:
80 years
Step-by-step explanation:
(.025)*n = 2 solve for n
The radius of a circle is 5 meters. What is the length of a 180° arc?
Answers
Answer:
10 meters
Step-by-step explanation:
180° arc makes semi circle then it's diameter equal to its arc .
The cost of 5 pounds of apples is $12.45. What will be the cost of 12 pounds of apples if the
cost varies directly with the number of pounds purchased.
Edit View Insert Format Tools Table
Answers
Answer: 29.88
Step-by-step explanation: if 5 pounds = $12.45,
then 12 pounds = x
Therefore, Cross-multiply
5 x = 12 (12.45)
5x=149.4
x=149.4/5
x=29.88
Answer:
Step-by-step explanation:
Equation
Cost = k*weight
Givens
weight = 5 pounds
Cost = 12.45
12 pounds
Find k
Cost = k*weight
cost = 12.45
weigh = 5 pounds Substitute these values into the equation
12.45 = k * 5 Divide by 5
12.45 /5 = k*5/5
2.49 = k
Solve for 12 pounds
k = 2.49weight = 12 poundsCost = 2.49 * 12
Cost = 29.88
Answer
Cost = 29.88
if a man is 6"2 in height and shrinks 3 inches how tall is he now?
Answers
Answer:
5"11
Step-by-step explanation:
6 foot 2 inches minus 3 inches is 5 foot 3 inches
Answer:
5'11
Step-by-step explanation:
Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).
Answers
Equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 36x+9
Thirty six times of x plus nine.
In the expression x is the variable and plus is the operator.
Equivalent expressions are expressions that work the same even though they look different.
The equivalent expression of 36x+9 are 9(4x+1)
and 9.4x +(9.1) we get this factoring the expression.
Now the other expression is 36x-9
Thirty six times of x minus nine.
Minus is the operator in the expression.
The equivalent expressions are 9(4x-1) and 9.4x-(9.1)
Hence, equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)
To learn more on Expressions click:
https://brainly.com/question/14083225
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Use the quadratic formula to solve for x.
3x2 + 2x - 6 = 0
Answers
Answer:
x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))
Step-by-step explanation:
Solve for x over the real numbers:
3 x^2 + 2 x - 6 = 0
Using the quadratic formula, solve for x.
x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:
x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6
Simplify radicals.
sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):
x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6
Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).
Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):
x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6
In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.
(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:
x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6
Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).
Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):
x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))
In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.
(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:
Answer: x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))
Currently, the lowest tax bracket in the United States is
Α. 0%
Β. 15%
C. 1%
D. 10%
Answers
Answer:
D 10%
Step-by-step explanation:
Which fraction is equal to 0.3?
Answers
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
AB = 13 meters
Step-by-step explanation:
AB is congruent to AC and AC is 13 meters so that's what AB would be
giving branly to the frist one to answer and give the best and right answer
Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0, 6).
Explain Paul’s mistake and write the
correct ordered pair for the new location of............................ your answer
Answers
Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Initially, researching the problem on the internet, it is found that the market is at position (3,8).
Then, it was shifted 2 units left and 3 units down, hence the new position is given by:
(3 - 2, 8 - 3) = (1,5).
His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
More can be learned about translation concepts at https://brainly.com/question/4521517
3. At the school dance the ratio of
students who bought snacks to the
students who did not buy snacks is 4 to 6.
Based on this ratio, how many of these
students would buy a snack if there were
a total of 180 students that attended the
dance?
Answers
Answer:
120 students did not buys a snack :)
Step-by-step explanation:
The easiest way to do this is divide :)
Now lets solve!!
180/6 = 30
Now we multiply!!
30 x 4 = 120
Have an amazing day!!
Please rate and mark brainliest!!
The sum of two numbers is 55. Their difference is −1. Find the numbers.
Answers
Step-by-step explanation:
lets say the first is x and the second is y then we can say
x+y=55 ......1
x-y= -1 .......2
by adding 1 with 2 then
x+y+x-y=55+(-1)
==> 2x= 55-1=54
==> x= 54/2=28
if we put x=28 in the 2nd equation then
28-y= -1
==> y=29
Multiply: (3x+7)(5x^2-3x+6)
Answers
Answer:
15x^3+26x^2-3x+42
Step-by-step explanation:
(3x+7)(5x^2-3x+6)
15x^3-9x^2+18x+35x^2-21x+42
15x^3-9x^2+35x^2+18x-21x+42
15x^3+26x^2-3x+42
Answer:
15x³ + 26x² - 3x + 42
Step-by-step explanation:
Hi there!
We are given the polynomials 3x+7 and 5x²-3x+6
We want to multiply them together
(3x+7)(5x²-3x+6)
To that, we need to distribute each term of the binomials to each other, and then add them together.
What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.
So, let's first start by multiplying 3x by everything:
3x * 5x² = 15x³
3x * -3x = -9x²
3x * 6 = 18x
Add them together: 15x³ + -9x² + 18x
Now with 7:
7 * 5x² = 35x²
7 * -3x = -21x
7 * 6 = 42
Add them together: 35x² + -21x + 42
Now add 15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42
Combine like terms:
15x³ + 26x² - 3x + 42
Hope this helps!
AYUDAAA PORFA , se entrega a las 4 porfavorrrrrr
Answers
Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment
Answers
Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Gross domestic producta. Consumption
Private S = ( Y – T – C )
C = Y - T - Private S
C = $12 - $3.6 - $1.5 =$6.9 trillion
b. Government purchases
Public S = ( T - G )
G = T - Public S
G = $12 - $0.8
G = $11.2 trillion
c and d. National saving and investment
National savings = Public S + Private S
National savings = $0.8 + $1.5
National savings =$2.3 trillion
Investment=Savings=$2.3 trillion
Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Learn more about GDP here:https://brainly.com/question/1383956
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answers
Answer:
Start are cooler when in the color Red.
Step-by-step explanation:
Answer:
the answer would be red
Step-by-step explanation:
7. A hippopotamus weighs 1.5 tons. What is its weight in ounces
Answers
Question 8(Multiple Choice Worth 1 points)
(07.04 HC)
Right triangle ABC is located at A (-1, 4), B (-1, 1), and C (-5, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
O(x + 1)2 + (y - 4)2 = 9
(x + 5)2 + y - 1)2 = 25
(x + 5)2 + (y - 1)2 = 16
(x + 1)2 + (y - 4)2 = 25
Answers
Answer:
(d) (x + 1)^2 + (y - 4)^2 = 25
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
Circle A has its center at point A, so the left side of this equation will look like ...
(x -(-1))² +(y -4)² = r² . . . . . . using (h, k) = (-1, 4)
where r is the length of segment AC. One way to find the value of r² is to use point C for (x, y):
(-5 +1)² +(1 -4)² = r²
16 +9 = r² = 25
Then the equation of the circle is ...
(x +1)² +(y -4)² = 25
Ray YL bisects ZAY B. Find the measurement of
ZBYL.
B
(7x + 17)
(3(4x - 1))
Y
0 90
0 45
0 None of the above
0 20
Answers
Answer:
B. 45
Step-by-step explanation:
YL is the angle bisector of ∠AYB, so the two angles are congruent:
∠AYL ≅ ∠BYLSubstitute and solve for x:
7x + 17 = 3(4x - 1)7x + 17 = 12x - 312x - 7x = 17 + 35x = 20x = 4Find the value of ∠BYL:
3(4*4 - 1) = 3(16- 1) = 3(15) = 45
This is matching the answer option B.
The red angles must be equal as YL is bisector
7x+17=3(4x-1)7x+17=12x-317+3=12x-7x20=5xx=4<BYL
3(4(4)-1)3(16-1)3(15)45Option B
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
Answers
Answer:
I think it would be 9 meters.
Step-by-step explanation:
5x2=10
28-10=18
18(divided by)2=9 meters
Answer:
9 meters long
Step-by-step explanation:
the perimeter is 28 meters. itts 5 meters wide and itt is recttangle so itt have two of the same width. so now 5x2=10 and 28-10=18 now 18/2=9. please mark me brainliest if i got it correct
Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?
What is the recursive rule?
Answers
Mr. Blue' salary is an illustration of a geometric sequence
The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000How to determine the explicit formula?Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
How to determine the recursive formula?The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
Read more about arithmetic sequence at:
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Which equation represents a line which is perpendicular to the line y = – 4/5+ 2
5x + 4y = 28
4x - 5y =-25
4y – 5x = -12
4x + 5y = -30
Answers
Add opposite sign x to the other side.
Divide by coefficient of y.
Y equals 7 minus 5/4X
Y equals 5 minus 4/5x
Y equals -3 plus 5/4X
Y equals -6 minus 4/5x
Perpendicular line is opposite slope.
Have -4/5 so want 5/4 as slope.
Only one is possible because of + sign.
The answer is the third one.
Mark as the best answer!
Roger ran eight laps around a 1/4 mile track during PE on Monday. How many feet did roger run in completing eight laps? (Remember there are 5280 feet in a mile)
Answers
Answer:
10,560
Step-by-step explanation:
8 x 1/4 --> 8/1 x 1/4
= 8/4 or 2
5,280 x 2 = 10,560