Answer:
.45$
Step-by-step explanation:
2.70 ÷ 6
Answer:
$0.45
Step-by-step explanation:
If 6 cans of iced tea costs $2.70,
1 can would cost ($2.70 ÷ 6)
Review the proof of de Moivre’s theorem (not in order).
Proof of de Moivre's Theorem
[cos(θ) + isin(θ)]k + 1
A = [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
B = cos(kθ + θ) + isin(kθ + θ)
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
E = cos[(k + 1)θ] + isin[(k + 1)θ]
Which steps must be switched to put the proof in order?
steps B and C
steps B and D
steps C and D
steps C and E
Answer:
steps B and D
Step-by-step explanation:
the correct chart is below :)
The steps which must be switched to put the proof in order are steps B and D
Since [cos(θ) + isin(θ)]k + 1
= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
= cos(kθ + θ) + isin(kθ + θ)
= cos[(k + 1)θ] + isin[(k + 1)θ]
Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.
So, steps B and D must be switched.
The steps which must be switched to put the proof in order are steps B and D.
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The Fashion Store has $6000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately 1000 women will see each newspaper ad, 800 will hear each radio ad, and 14,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?
9514 1404 393
Answer:
7 TV ads4 radio adsStep-by-step explanation:
The audience per dollar is ...
Newspaper: 1000/$200 = 5/$
Radio: 800/$100 = 8/$
TV: 14000/$800 = 17.5/$
So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...
(7 ads)($800/ad) = $5600
With $5600 spent on TV ads, the remaining advertising budget is ...
$6000 -5600 = $400
The next most cost-effective medium is radio. The remaining $400 budget allows for ...
$400/($100/ad) = 4 ads
__
To maximize exposure, the advertising budget should be spent this way:
TV: 7 ads for $5600, exposure of 98000Radio: 4 ads for $400, exposure of 3200I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/
Answer:
28 weeks
Step-by-step explanation:
It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.
1. $42 x 3 = $126
2. $126/$4.5 = 28
3. The answer is Sharon has been saving her allowance for 28 weeks.
Hope this helps!
-Jerc
Answer:
She has been saving her money up for 28 weeks.
Step-by-step explanation:
1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 42•3=126
2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.
What Is It HomeWork*.
Answer:
sumthing that we hate doing
Step-by-step explanation:ughhhhhhhhhh
when writing fraction from a graph does the x axis number go on top or bottom
Answer:
x ax-s can be horizontal and top
y axis is bottom
Step-by-step explanation:
Write 310,763,029 expanded form
Answer:
300,000,000
10,000,000
700,000
60,000
3,000
20
9
Step-by-step explanation:
Please help...
Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]
Answer:
x=½, -2
x= 0.5, -2
possibly im not perfect
Linearize the data. Then find the least squares regression equation
Answer:
C
Step-by-step explanation:
Explain how sample size affects statistical significance.
Answer:
More formally, statistical power is the probability of finding a statistically significant result, given that there really is a difference (or effect) in the population. ... So, larger sample sizes give more reliable results with greater precision and power, but they also cost more time and money.
Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2
[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]
[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]
[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]
[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]
Round 1.24236 to the nearest hundredth
Answer:
1.24
Step-by-step explanation:
A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesirable behavior. The test is normed so that it has a mean of 140 and a standard deviation of 40. Suppose an individual is in the 67th percentile in this exam.What is his or her corresponding recidivism score
Answer:
157.6
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
Mean = 140
Standard deviation = 40
Recidivism score = x score = ??
z = z score of 67th percentile = 0.44
Hence,
0.44 = x - 140/40
Cross Multiply
0.44 × 40 = x - 140
17.6 = x - 140
x = 140 + 17.6
x = 157.6
Therefore, his corresponding recidivism score is 157.6
f(n)= 4n+4
g(n)= n + 1
Find (f + g)(n)
Simplify the following expression, 3/8 divided by 1/4
The required simplified product is 3/2.
Given that fractions 3/8 ÷ 1/4.
To divide two fractions by multiplying the first fraction with the reciprocal of the second fraction.
Let a, b, c and d be any real numbers. Consider a/b ÷ c/d that gives
[tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{c}{d}[/tex].
That implies, [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{8}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{3}{2}[/tex].
Hence, the required simplified product is 3/2.
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If p = 5, q = 4, and r = 1, what is the value of p - r ?
a. 3
b. 4
c. 6
d. 1
determine the range of the following graph:
Answer:
(-15)
Step-by-step explanation:
(-7) - 8 = (-15) (Range is the difference between Max and Min Value)
please follow me and mark as brainliest
I WILL BRAINLIST ITS ONLY ONE PROBLEM !!!!!!!!!!!!!!!
Answer:
11/200
Step-by-step explanation:
This is the correct answer boo
The product of the number g and the opposite of 7 is equal to k.
Change to an algebraic expression
A florist must make 5 identical
bridesmaid bouquets for a wedding. The budget is
$160, and each bouquet must have 12 flowers. Roses
cost $2.50 each, lilies cost $4 each, and irises cost
$2 each. The florist wants twice as many roses as the
other two types of flowers combined.
Answer:
A. 40x + 10y + 10z = $160
B. 8 Roses, 2 lilies and 2 irises
C.
1. 20x + 5y + 5z = $80
2. 4x + y + z = $16
3. 8x + 2y + 2z = $32
Step-by-step explanation:
Cost for each flower = $160/5 = $32
So we have $32 for each bouquet consisting of 12 flowers each.
Roses = x = $2.50 each
lilies = y = $4 each
irises = z = $2 each
8x + 2y + 2z = $32
8($2.50) + 2($4) + 2($2) = $32
$20 + $8 + $4 = $32
$32 = $32
a. Maximum budget is $160
40x + 10y + 10z = $160
40($2.50) + 10($4) + 10($2) = $160
$100 + $40 + $20 = $160
$160 = $160
b. From above
8x + 2y + 2z = $32
8 Roses, 2 lilies and 2 irises
c. No. There are other solutions If total cost is not limited
1. 20x + 5y + 5z
20($2.50) + 5($4) + 5($2)
$50 + $20 + $10
= $80
2. 4x + y + z
4($2.50) + $4 + $2
$10 + $4 + $2
= $16
3. 8x + 2y + 2z
8($2.50) + 2($4) + 2($2)
$20 + $8 + $4
= $32
fplzz ans my question
factorize p^4+4
Answer:
Step-by-step explanation:
(p²)²+2²
(p²+2)²-2p²2
(p²+2)²-4p²
(p²+2)²-(2p)²
(p²+2-2p)(p²+2+2p)
Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X
Complete question :
Find the standard deviation of the following data. Round your answer to one decimal place.
X: 0 1 2 3 4 5
P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2
Answer:
1.833
Step-by-step explanation:
Given the data :
X: 0 1 2 3 4 5
P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2
Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]
E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2
Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²
Sqrt(8.2 - 4.84) = 1.833
If A is the least common multiple of 12, 24, and 36, and B
is the lowest prime number, what is the sum of A and B ?
F.
3
G.
4
H.
73
J.
74
K.
145
Answer:
74
Step-by-step explanation:
A= Least common multiple of 12,24,36
Factors of 12 = 2*2*3
Factors of 24 = 2*2*2*3
Factors of 36 = 2*2*3*3
A = 2*2*2*3*3 = 72
B = Lowest prime number = 2
A+B = 72+2 = 74
Find the values of x and y.
x=
1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!
Answer:
124.35 X 6.75
Step-by-step explanation:
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?
The percentage is the value per hundredth.
It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.
The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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There are (26)3⋅ 20 bacteria in a sample. What is the total number of bacteria in the sample? (1 point)
Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560
Step-by-step explanation:
What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10
Answer:
1) 20
Step-by-step explanation:
40% percent of this number is only a small amount.
20
Step-by-step explanation:
40 percent of this number is a small amount
adult men weights mean of 190 30 3 random men mean weight
Answer:
is this the question ?
Step-by-step explanation:
What is 86.929 rounded to the nearest tenth ?
Answer:
86.9
Step-by-step explanation:
This is because after the decimal point, it goes to the tenths place and then the thousands place, therefore, if you round it, it would be 86.9.
Suppose that you roll a die 8 times. What is the probability that you roll a six three or fewer times
Answer:
0.96
Step-by-step explanation:
Given that the a die is rolled 8 number of times.
[tex]n[/tex] = 8
Probability of getting a 6 on roll of a die, [tex]p=\frac{1}{6}[/tex]
Probability of not getting a 6 on roll of a die, [tex]q=1-p=1-\frac{1}{6}=\frac{5}{6}[/tex]
Probability of getting 6 three or fewer times:
[tex]P(r \le 3)=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]
Formula:
[tex]P(r=k)=_nC_k.p^k.q^{n-k}[/tex]
Putting the values using this formula:
[tex]P(r \le 3)=_8C_0.\frac{1}{6}^0.\frac{5}{6}^{8-0}+_8C_1.\frac{1}{6}^1.\frac{5}{6}^{8-1}+_8C_2.\frac{1}{6}^2.\frac{5}{6}^{8-2}+_8C_3.\frac{1}{6}^3.\frac{5}{6}^{8-3}\\\Rightarrow P(r \le 3)=1.\frac{5}{6}^{8}+8.\frac{1}{6}.\frac{5}{6}^{7}+28.\frac{1}{36}^2.\frac{5}{6}^{6}+56.\frac{1}{216}.\frac{5}{6}^{5}\\\Rightarrow P(r \le 3)=0.23+0.37+0.26+0.1=\bold{0.96}[/tex]