Answer:
4
Step-by-step explanation:
y = 4 sin (3x)
The amplitude is the coefficient in front of sin
4 is the amplitude
I WILL CHOOSE BRAINIEST AND 5 STARS AND A THANKS... A "necklace" is a circular string with several beads on it. It is allowed to rotate a necklace but not to turn it over. How many different necklaces can be made using 13 different beads?
Answer:
479,001,600 ways
Step-by-step explanation:
When looking at this problem, there are 13 beads that can be put on first, 12 that can be put on second as the first one was already used, 11 put on third, and so on. This means the amount of necklaces you can make are 13*12*11...*2*1, or 13 factorial (13!). But since you can rotate the necklace this means that there are each combination has 12 others just like it, just rotated(13 in total). This means we must divide 13! by 13, which makes it 12!. 12! is equal to 479,001,600, which is the answer.
Answer:
6,227,020,800 different necklaces.
Step-by-step explanation:
To start making the necklace, you will have to choose one of the 13 beads. For the next bead, you will have 13 - 1 = 12 beads to choose from. For the next bead, you will have 12 - 1 = 11 beads to choose from, and so on and so forth, until all 13 beads are used.
So, you will have 13! different necklaces, since you would have 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 156 * 110 * 72 * 42 * 120 = 17160 * 362880 = 6227020800.
So, you will have 6,227,020,800 different necklaces.
Hope this helps!
A 5-pound bag of flour costs $9.60. What is the price per ounce?
Answer:
A 5-pound of flour costs $4.80. For this bag of flour, what is the cost of flour per ounce? (1 pound = 16 ounces) a. $0.06.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
In each pound there are 16 ounces. We can divide $9.60 by 5 to get the cost of one pound of flour, and then divide the result of that by 16 to get the price of flour by the ounce.
$9.60 can be converted to 960 cents to make it easier to divide.
960 ÷ 5 = 192
192 ÷ 16 = 12
Simplify
81^5 = 3^x
x=
Answer:
Step-by-step explanation:
(3^4)^5=3^(4*5)=3^20
3^20=3^x
x=20
Answer:
20
Step-by-step explanation:
which of the following fractions is closest to 5/8. 2/3, 13/20 or 11/16
A fraction is a way to describe a part of a whole. The fraction that is closest to 5/8 is 13/20.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Know the fraction that will be close to 5/8 can be found by taking the LCM of denominators. Therefore, the LCM of 8, 3, 20, and 16 is 240.
Thus, the fractions can be rewritten as,
5/8 = (5/8) × (30/30) = 150/240
2/3 = (2/3) × (80/80) = 160/240
13/20 = (13/20) × (12/12) = 156/240
11/16 = (11/16) × (15/15) = 165/240
Now as it can be seen that 156/240 is closest to 150/240, therefore, the fraction that is closest to 5/8 is 13/20.
Learn more about Fraction:
https://brainly.com/question/1301963
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i) The sum of two consecutive odd numbers is 68. Find the numbers.
Answer:
The numbers are 35 and 35.
Step-by-step explanation:
Let one odd number be x.
The next greater odd number is x + 2.
x + x + 2 = 68
2x + 2 = 68
2x = 66
x = 33
x + 2 = 35
The numbers are 35 and 35.
Help fast will mark you the brainlest
Answer:
55°
Step-by-step explanation:
x°+35° is a right angle
so x°+35°= 90°
then : x° = 90°-35° = 55°
Answer: x = 20
Step-by-step explanation:
This problem makes use of Supplementary Angles. Supplementary Angles states that all angles that makes up a straight line are equal to 180. Thus, 125+35+x=180
First add
160+x=180
Then subtract
x=20
Hope it helps <3
Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: –5.7 –4 –1 –0.7
Answer:
-5.7
Step-by-step explanation:
OUR EQUATION IS A QUADRATIC EQUATION
Let Δ be our dicriminant :
a= 1b= 5c= -4Δ= 5²-4*1*(-4) =25 +16 =41≥0so we have two solutions x and y x= (-5-√41)/2 = -5.7The volume of a cube is 681472 cubic cm. Find the side of the cube.
Answer:
[tex]l = 88 cm[/tex]
Step-by-step explanation:
Volume of Cube = [tex]l*l*l[/tex]
Volume of Cube = [tex](Length)^3[/tex]
Where volume = 681472 cubic cm
=> [tex]l^3 = 681472[/tex]
Taking square root on both sides
=> [tex]l = \sqrt{681472}[/tex]
=> [tex]l = 88 cm[/tex]
Factorise x^2 + 10x + 16
Answer: [tex](x+2)(x+8)[/tex]
Step-by-step explanation:
1) First, we need to see which number multiplies to 16 and adds up to 10.
By looking at the factors of 16, we can see that only 2 and 8 will work.
2) Now, we need to arrange them in the factorized equation, which is always
(x+r)(x+q).
3) This will give us our final equation:
[tex](x+2)(x+8)[/tex]
If you want the roots, just do the negation of r and q and you will get it!
Plz help me solve these problems
Answer: CAN YOU PLS MARK AS BRAINLIEST??
a.x=11/4
b.x=6
c.x=21/2
d.x=0
Step-by-step explanation:
-2+3x+x=9-x
-2+3x+x=9
4x=9+2
4x=11
x=11/4
when you move a numerator to the other side it becomes a denominator
x+2=3/4x6
x+2=3/24
x=8-2
x=6
5-2x-12=14
2x=14-5+12
2x=21
x=21/2
1/2x=-3-1/2x+4-1
1/2x+1/2x=-3+4-1
x=0
380 students in key stage 3. 240 students in key stage 4. 110 students in key stage 5. She needs a sample of 100 students stratified by key stage. Work out the number of students from key stage 3
Answer:
52
Step-by-step explanation:
Number of Students in Key Stage 3 =380
Number of Students in Key Stage 4 =240
Number of Students in Key Stage 5 =110
Total = 380+240+110=730
Since a sample of 100 students stratified by key stage is needed.
The number of students that would be taken from Key Stage 3
[tex]=\dfrac{380}{730}\times 100\\\\=52.1\\\approx 52 $ (to the nearest whole number)[/tex]
How does the slope of g(x) compare to the slope of f(x)?
The slope of g(x) is the opposite of the slope of f(x).
The slope of g(x) is less than the slope of f(x).
The slape of g(x) is greater than the slope of f(x).
The slope of g(x) is equal to the slope of f(x).
What is the solution to this system of linear equations? 2x + y = 1 and 3x - y = -6
Answer:
(- 1, 3 )
Step-by-step explanation:
Given the 2 equations
2x + y = 1 → (1)
3x - y = - 6 → (2)
Adding the 2 equations term by term eliminates the y- term, that is
5x = - 5 ( divide both sides by 5 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(- 1) + y = 1
- 2 + y = 1 ( add 2 to both sides )
y = 3
Solution is (- 1, 3 )
Answer: (-1,-3) or A on the quiz
Got it right
Have a nice day
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula
Answer:
a. 1350
b. 4%
Step-by-step explanation:
here is the complete question :
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:
V = 1350 x 1.04^t
Answer questions a & b
a - How much money did Toni invest in pounds
b - What rate of compound interest is paid each year
the formula for calculating compound interest is given by :
V = P (1 + r)^t
P = Present value -= amount invested = 1350
R = interest rate = 4%
N = number of years = t
i hope my answer helps you
find the quotient the picture is the qestion
Answer:
A) 6/7
Step-by-step explanation:
Remember that two negatives will cancel to make a positive. Also, 6 ÷ 7 is 6/7
can someone please help me ASAP!
Answer:
D.
Step-by-step explanation:
x ={-1, 0, 2, 4, 7}
We see every x value only one time, so given pairs (x,y) is a function.
Answer is D.
A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the water from a point B on the shore. Point B is 4 mi down shore from the power station at A. It costs $5000 per mile to lay the power line under water and $3000 per mile to lay the line underground. At what point S down shores from A between the cities?
Answer:
Given :
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Introduction to Linear Functions: Which table represents a linear function?
Answer:
The table in the top right
Step-by-step explanation:
That table represents the equation y=-2x-1. It is the only table that represents a linear equation.
To be a linear equation it has to consistently add the same amount up and right OR down and right (depending on if it's a positive or negative equation)
I have included a picture of the graph with the equation and all points on it (click/tap on it to see the full picture.)
If this helped please rate, thanks, and mark brainliest :)
The table which represents a linear function is one on the top-right corner.
What is linear function?A linear function is a mathematical relation which is characterized by a constant slope otherwise known as the rate of change of the function.
Upon evaluation of the slope of each table; only the top-right corner table has a constant slope.
slope, m = (-5-(-3))/(2-1)m = -2/1 = -2.Ultimately, a linear function is characterized by a constant slope as observed in the top-right corner table in discuss.
Read more on linear function;
https://brainly.com/question/15602982
Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. Write an equation to represent this situation.
Answer: 5s -3 = s -3 + 24 5s -3 = s + 21
Step-by-step explanation:
Father f
Son s . present: f = 5s use this equation to substitute the equal value
3 years ago . f-3 = s-3 + 24
Substitute 5s for f in the second equation
5s -3 = s-3 + 24
works out as 5s -s = - 3 +3 + 24
4s = 24
4s/4 = 24/4
s = 6
The son's age is 6, The father is 30
Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.
Answer:
6n^4-10n^2+10n
Step-by-step explanation:
4 n^4+2n^4-3n^2-7n^2+9n+n
6n^4-10n^2+10n
Answer:
[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]
Step-by-step explanation:
[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]
[tex]\sf Remove \ brackets.[/tex]
[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]
[tex]\sf Group \ like \ terms.[/tex]
[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]6n^4- 10n^2 + 10n[/tex]
1. What is the area of the figure below?
7 cm
18 cm
22 cm
O A 154 cm2
OC 459 cm2
OB 396 cm?
D 522 cm2
c. because when you di the math it adds up
Find the solution set.8x^2-2x=3 separate the two values with a comma.
Answer:
x = -1/2, 3/4
Step-by-step explanation:
Step 1: Isolate everything to 1 side
8x² - 2x - 3 = 0
Step 2: Factor
(4x - 3)(2x + 1) = 0
Step 3: Find roots
4x - 3 = 0
4x = 3
x = 3/4
2x + 1 = 0
2x = -1
x = -1/2
PLEASE HELP!!!
It says to find the area of the shaded sector rounded to the nearest hundredth
Answer:
402.12 cm²
Step-by-step explanation:
45 degrees is 1/8 of a circle
πr² = whole circle
1/8*(3.1415926....)(32)² = 402.12 cm²
what is the inequality to 4-3x≥7
Answer:
Step-by-step explanation:
4-3x≥7
4-7≥3x
-3≥3x
or
3x≤-3
x≤-1
The distance from New York to Los Angeles is about 2820 miles. Each of Hannah steps measures about 2 feet long. Which is the best estimate of the number of steps Hannah would take if she walked from New York to Los Angeles? A) 30,000,000 B) 2,500,000 C) 15, 000,000 D) 7,500,000
Answer:
D
Step-by-step explanation:
convert miles to feet :
1 mile 5280 foot
2820*5280=14889600 ft
14889600/2=7444800 close to 7500000
D
Urn A contains seven white balls and five black balls. Urn B contains four white balls and six black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was black given that the second ball drawn was black
Answer:
P(X/Y) = 0.4545
Step-by-step explanation:
Let's call X that the transferred ball is black, X' that the transferend ball is white and Y the event that the second ball drawn is black.
The probability that the transferred ball was black given that the second ball drawn was black is equal to:
P(X/Y) = P(X∩Y)/P(Y)
Where P(Y) = P(X∩Y) + P(X'∩Y)
Then, the probability P(X∩Y) that the transferred ball is black and the second ball drawn is black is equal to:
P(X∩Y) = (5/12)*(7/11) = 0.2651
Because the urn A has 12 balls and 5 of them are black, then if the transferred ball is black, the urn B will contain 11 balls and 7 of them will be black balls.
At the same way, the probability P(X'∩Y) that the transferred ball is white and the second ball drawn is black is equal to:
P(X'∩Y) = (7/12)*(6/11) = 0.3181
Because the urn A has 12 balls and 7 of them are white, then if the transferred ball is white, the urn B will contain 11 balls and 6 of them will be black balls.
So, P(Y) and P(X/Y) are equal to:
P(Y) = 0.2651 + 0.3181
P(Y) = 0.5832
P(X/Y) = 0.2651/0.5832
P(X/Y) = 0.4545
Find each difference.
(32mn2 + 50mn2) - (10mn2 - 16m2 + 64)
PLEASE HELP!!! ASAP!!!
Answer:
144mn + 32m - 64
:)
Step-by-step explanation:
Please help me with this math problem
Answer:
D. 36 miles
hope this helps :)
Camila comprou um quilo de bolo de morango e dois quilos de bolo de chocalate por R$ 72,00 se o quilo do bolo de morango custa R$ 18,00 qual é o valor do quilo do bolo de chocolate?
Answer:
R$ 27,00
Step-by-step explanation:
R $ 72,00 = Um bolo de morango + dois quilos de bolo de chocalate
Um bolo de morango = R$ 18,00
R $ 72,00 = R$ 18,00 + Dois quilos de bolo de chocalate
Dois quilos de bolo de chocalate = R$72,00 - R$18,00
= R$54,00
Dois (2) quilos de bolo de chocalate = R$54,00
Um (1) quilo de bolo de chocalate = x
2x = R$ 54,00
x = R$ 54,00/2
x = R$ 27,00
Um quilo do bolo de chocolate = R$27,00
Which expression represents a difference of squares? A. 4x2 − 16x B. t2 + 100 C. 25k − 64 D. 81 − 49y2
Answer:
I believe it would be C, not 100% sure though
Answer:
81-49y^2
Step-by-step explanation: