If [tex]a=48Tg\pi[/tex] then [tex]g=\frac{a}{48T\pi}[/tex].
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
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
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 = -5.7Which 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:
Figure abcd is a square. Find the measure of < ABE
Answer:
45 degrees
Step-by-step explanation:
Because the shape is a square, all of the sides are equal and all of the angles are 90 degrees. From there you simply divide 90 by 2.
Answer:
∠ ABE = 45°
Step-by-step explanation:
The diagonals of a square bisect the angles, thus
∠ ABC = 90°, so
∠ ABE = 0.5 × 90° = 45°
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
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.
what is the solution to the following system of equations {3x-2y=12{6x-4y=24
Answer:
There is an infinite number of solutions.
All points on line 3x - 2y = 12 are solutions.
Step-by-step explanation:
3x - 2y = 12
6x - 4y = 24
Divide both sides of the second equation by 2:
3x - 2y = 12
Both equations are the same equation, so there is an infinite number of solutions. All points on line 3x - 2y = 12 are solutions.
Hey there! :)
Answer:
Infinite solutions.
Step-by-step explanation:
Solve this system of equations by subtracting the first equation from the second:
6x - 4y = 24
3x - 2y = 12
Multiply the bottom equation by 2 to make the terms with the y variable equivalent:
6x - 4y = 24
6x - 4y = 24
Subtract:
0x + 0y = 0
0 = 0
Therefore, there are infinite solutions to the system of equations.
6. Find the total bill:
5 golf clubs at $18.65 each
60 golf balls at $16.50 per dozen
I pair of golf shoes at $75.80
Sales tax at 15% is added to the total cost.
hers who cach pay $
First multiply all the items up with their correct prices.
5 Golf Clubs = 18.65 each
5 x 18.65 = 93.25
60 Golf Balls = 16.50 per dozen
60 = 5 dozen
5 x 16.50 = 82.5
1 pair of golf shoes = 75.80
1 x 75.80 = 75.80
Now, add them all up.
93.25 + 82.5 + 75.80 = 251.55
Lastly, multiply by 1.15 to add the 15% sales tax.
251.55 x 1.15 = 289.28
Thus, the total cost of all the equipment with tax is $289.28
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!
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
Which describes the range of the parent absolute value function?
Answer:
C
Step-by-step explanation:
Just did the Unit Review
Can someone answer this question for me? Thank you.
Answer:
[tex]\boxed{\sf \ \ \ 3x^3-9x^2-30x=3x(x-5)(x+2) \ \ \ }[/tex]
Step-by-step explanation:
hello
step 1 - put 3x in factor
[tex]3x^3-9x^2-30x=3x(x^2-3x-10)[/tex]
step 2 - factorise the quadratic form
product of zeros are -10 and the sum is 3, the roots are 5 and -2, as below
[tex]x^2-3x-10=x^2+2x-5x-10=x(x+2)-5(x+2)=(x-5)(x+2)[/tex]
so the answer is
[tex]3x^3-9x^2-30x=3x(x-5)(x+2)[/tex]
hope this helps
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
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
a square has an area of 64cm^2 find the perimeterofthe square
Answer:
perimeter of the square is 256
I believe.
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:
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
Indicate whether each of the three reciprocal functions (cosecant, secant, and cotangent) is a periodic function. If so, state the period of each
Answer:
They are all periodic and have a period of 2π.
Step-by-step explanation:
This is also true of sine, cosine and tangent.
1. What percent of the players finished the walk in less than 2 hours? Show your work.
2. What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.
3. What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours? Show your work.
4. What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?
5. What might you observe if the number of participants increased or decreased?
Answer:
The answer is given below
Step-by-step explanation:
Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.
Answer:
Given that:
the mean μ = 2.6 hours and a standard deviation(σ) of 0.3 hour.
The z score is a measure used in probability to determine the number of standard deviation the raw score is above or below the mean, it is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
1) What percent of the players finished the walk in less than 2 hours.
To calculate this, we use x as 2 hours and then find the z score.
[tex]z=\frac{x-\mu}{\sigma}=\frac{2-2.6}{0.3}=-2[/tex]
From the normal probability distribution table, P(x < 2) = P(z < -2) = 0.0228 = 2.28%
2) What is the probability that two randomly chosen players completed the walk in 2.9 hours or more
To calculate this, we use x as 2.9 hours and then find the z score.
[tex]z=\frac{x-\mu}{\sigma}=\frac{2.9-2.6}{0.3}=1[/tex]
From the normal probability distribution table, P(x > 2.9) = P(z > 1) = 1-P(z<1) = 1 - 0.8413 = 0.1587
3. What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours
To calculate this, we first use x as 1.7 hours and then find the z score.
[tex]z=\frac{x-\mu}{\sigma}=\frac{1.7-2.6}{0.3}=-3[/tex]
For x as 2.9 hours and then find the z score.
[tex]z=\frac{x-\mu}{\sigma}=\frac{2.9-2.6}{0.3}=1[/tex]
From the normal probability distribution table, P(1.7 < x < 2.9) = P(-3 < z < 1) = P(z<1) - P(z < -3) = 0.8413 - 0.0013 = 0.84
4. What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?
To calculate this, we use x as 3.5 hours, number of samples (n) = 1200 and then find the z score.
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{3.5-2.6}{0.3/\sqrt{1200} }=104[/tex]
From the normal probability distribution table, P(x > 3.5) = P(z > 104) = 1-P(z<104) = 1 - 1 = 0
5. What might you observe if the number of participants increased or decreased?
if the number of participants increased , the probability would increase while if they decreased, the probability would decrease
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:
What is the value of 4n(n =2)^3
when n = -8?
Answer:
2
Step-by-step explanation:
Question 7 of 10
10 Points
What is the area of a parallelogram if the coordinates of its vertices are (0, -2).
(3, 2), (8, 2), and (5,-2)?
A. 12
B. 15
C. 20
D. 24
Reset Selection
Answer:
The answer is C. 20
Step-by-step explanation:
C=L×H
4×5
=20
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
Round 89.83450 to the underlined place.
Answer:
89.835
Step-by-step explanation:
Since the question asks to round to four, the number right to four is five so you round up 89.83450 to 89.835.
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
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).
You have in your pocket 10 coins.9 of them are ordinary coins with one tail and one head and the 10th coin has two heads. You randomly pick one coin from your pocket.What is the probability that this coin will land on heads? A. 0.45 B. 0.48 C. 0.55 D. 0.52 PLZ EXPLAIN, PLZ HELP!!!
Answer: C. 0.55
Step-by-step explanation:
You have 9/10 fair coins and 1/10 double heads.
The probability of throwing a head is (9/10*1/2)+(1/10*2/2)
=11/20 which is equal to 0.55
HOPES THIS HELP
Which expressions are equivalent to 3x+3(x+y)3x+3(x+y) A:6x+3y B:3(x+x+y) C:3xy
Answer:
it is a & b on the quiz
Step-by-step explanation:
I just answered the question, and I believe the other person who answered was incorrect.