1. C because 3×3=9
9×3=27
27×3=81.....
2. Answer is C explaination in picture number 2
3. D explaination in picture number 1
Algebra 2
The first one please
The co-terminal angle to 5π/6 in the unit circle is C. 17π/6
What are co-terminal angles in a unit circle?Co-terminal angles in a unit circle are angles that share the same terminal point
Given the angle 5π/6, we desire to find the angle that shares the same terminal point in the unit circle. We proceed as follows.
We know that x = 5π/6 + 2π
Taking the L.C.M which is 6, we have that
x = (12π + 5π)/6
x = 17π/6
So, the angle is C. 17π/6
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Construct a polynomial function with the following properties: third degree, only real coefficients, – 3 and2 + i are two of the zeros, y-intercept is – 75.
ANSWER:
\(-5x^3+5x^2+35x-75\)STEP-BY-STEP EXPLANATION:
We can calculate the polynomial function like this:
\(f(x)=a\cdot(x-x_1)\cdot(x-x_2)\cdot(x-x_3)\)We replace the zeros, to construct the polynomial, like this:
\(\begin{gathered} f(x)=a\cdot(x-(-3))\cdot(x-(2+i))\cdot(x-(2-i)) \\ f(x)=a\cdot(x+3)\cdot(x-2-i)\cdot(x-2+i) \\ (x-2-i)\cdot(x-2-i)=x^2-2x+ix-2x+4-2i-ix+2i+i^2=x^2-4x+5 \\ f(x)=a\cdot(x+3)\cdot(x^2-4x+5) \\ (x+3)\cdot(x^2-4x+5)=x^3-4x^2+5x+3x^2-12x+15=x^3-x^2-7x+15 \\ f(x)=a\cdot(x^3-x^2-7x+15) \end{gathered}\)We plug in y-intercept to calculatea a:
\(\begin{gathered} -75=a\cdot(0^3-0^2-7\cdot0+15)^{} \\ 15a=-75 \\ a=-\frac{75}{15} \\ a=-5 \\ \text{ replacing} \\ f(x)=-5\cdot\mleft(x^3-x^2-7x+15\mright) \\ f(x)=-5x^3+5x^2+35x-75 \end{gathered}\)5x – (1 + i) = (9 + 41)
Answer:
x=3
i=74
That is my answer. I think, not 100% sure though.
Write an expression for the highlighted region.
The expression (A ∪ C) - (A∩B) + (A∩B∩C) can be represented by the shaded area in the Venn diagram
Venn diagram with three overlapping circles
The union of sets A and C, denoted by A ∪ C, is the shaded area that includes all elements in either A or C or both. The intersection of sets A and B, denoted by A ∩ B, is the shaded area that includes only the elements that are common to both A and B.
To find (A ∪ C) - (A∩B), we start with the shaded area of A ∪ C and then subtract the shaded area of A ∩ B. This gives us the shaded area that includes all elements in either A or C or both, but excludes the elements that are common to both A and B.
Next, we add the intersection of sets A, B, and C, denoted by A∩B∩C, which is the shaded area that includes only the elements that are common to all three sets.
Therefore, the expression (A ∪ C) - (A∩B) + (A∩B∩C) can be represented by the shaded area in the Venn diagram that includes all elements in either A or C or both, excludes the elements that are common to both A and B, and includes the elements that are common to all three sets.
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The net income for General Electric (GE) for the period 2005-2010 could be approximated by P (t) =-20t2 + 6.6t + 16 billion dollars (0 < t < 5) where t is the time in years since 2005. According to this model, what was the highest net income earned by GE over the given period? Round answer to the nearest $ billion.
The highest net income earned by General Electric (GE) over the given period can be calculated from the given information below:$$P(t)=-20t^2+6.6t+16$$Where P(t) is the net income earned by GE, and t is the time.
in years since 2005. The value of t is in the range 0 to 5, thus; \($$P'(t)=\frac{d}{dt} (-20t^2+6.6t+16)=-40t+6.6$$$$P'(t)=0\ rightarrow -40t+6.6=0$$$$t=\frac{6.6}{40}=0.165\approx0.17$$\)
To verify that this is a maximum, we can use the second derivative of P. \($$P''(t)=-40<0$$\). Thus, the highest net income earned by GE over the given period is attained at t = 0.17 and can be calculated as follows:\($$P(0.17)=-20(0.17)^2+6.6(0.17)+16$$$$P(0.17) \approx \boxed{18}$$\)
The highest net income earned by GE over the given period is approximately $18$ billion income .
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get those points sis
Answer:
thanks
Step-by-step explanation:
K
Consider a study conducted in 2018 to estimate the percentage of people from a certain region who do not use the
Internet. Complete parts (a) through (c) below.
a. If a 99% confidence level is used, how many people should be included in the survey if the researchers wanted to
have a margin of error of 7%?
There should be people included in the survey.
(Round up to the nearest person as needed.)
rred
The number of people who must be included in the survey, that is, the sample size should be 340.
We assume the sample size to be n.
The confidence interval required is 99%.
The Z-score corresponding to the 99% confidence interval is (Z) 2.58.
The true proportion (p) of the sample is not given, so we assume it to be 50% or 0.5.
The margin of error for the sample (E) is given to be 7% or 0.07.
By the formula of margin of error, we know that:
E = Z√[{p(1 - p)}/n].
Putting in the values, we have, we get:
0.07 = 2.58√[{0.5*0.5}/n],
or, (0.07/2.58)² = 0.25/n,
or, n = 0.25/{(0.07/2.58)²} = 339.6122449 ≈ 340.
Thus, the number of people who must be included in the survey, that is, the sample size should be 340.
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To plot (5,- 9), in which direction do you move
first?
Answer: You are gonna want to move right 5 times then down nine times!
Step-by-step explanation:
Answer:
if you are doing a number line then you start at 0 then go to right 5 times go to the left 7 times which would give you -2
Step-by-step explanation:
Benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed -- What is the value of the expression? options---
18, 36, 38, or 20-- ANSWER FAST!!!
Answer:
36
Step-by-step explanation:
1^3 + 2^3 + 3^3= 1+8+27
9+27= 36
What is 24/240 as a decimal
Answer:
0.1
Step-by-step explanation:
Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator
Solve the system. 6x + 6y + 5z = - 134 3x9y+ 92 = 15 - 8x +9y2z = 7
The solution to the system is x = 11.28, y = -6.16, z = -14.64.
To solve the system:
6x + 6y + 5z = -134
3x + 9y + 92 = 15
-8x + 9y + 2z = 7
We can use the second equation to solve for x in terms of y:
3x + 9y = -77
x = (-77 - 9y)/3
Substituting this expression for x into the first and third equations, we get:
6(-77-9y)/3 + 6y + 5z = -134
-8(-77-9y)/3 + 9y + 2z = 7
Simplifying these equations:
-154 - 54y + 6y + 5z = -134
616 + 72y + 9y + 2z = 7
-48y + 5z = 20
81y + 2z = -609
We can solve for z in terms of y from the first equation:
z = (48y + 20)/5
Substituting this expression for z into the second equation:
81y + 2((48y+20)/5) = -609
405y + 96y + 40 = -3045
501y = -3085
y = -6.16
Then substituting y into the expression for z:
z = (48(-6.16) + 20)/5 = -14.64
Finally, substituting y and z into the expression for x:
x = (-77 - 9(-6.16))/3 = 11.28
Therefore, the solution to the system is x = 11.28, y = -6.16, z = -14.64.
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Pls find equation of parabola
Answer:
y = - 3x² + 6x + 9
Step-by-step explanation:
given the zeros of a parabola x = a , x = b , then the factors are
(x - a) , (x - b)
here the zeros are x = - 1 and x = 3 , then
factors are (x + 1) and (x - 3)
the equation of the parabola is then the product of the factors, that is
y = a(x + 1)(x - 3) ← a is a multiplier
to find a substitute the point (0, 9 ) into the equation
9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
- 3 = a
then equation is
y = - 3(x + 1)(x - 3) ← expand factors using FOIL
= - 3(x² - 2x - 3) ← distribute parenthesis by - 3
y = - 3x² + 6x + 9
What is the product of -6x3 and 2x5?
Answer:
for the first one it's going to be -30 and the second one is 10
If -4x-3+5x=24, then x=12
Answer:
Hi Jamal
Step-by-step explanation:
-4(x - 3) + 5x = 24
-4x + 12 + 5x = 24
x = 24 - 12
x = 12
The probability of passing the math class of Professor Chesley is 58%, the probability of passing Professor Lacava's physics class is 24%, and the probability of passing both is 19%What is the probability of passing one or the other?
The probability of passing one test or the other is given by:
0.63 = 63%.
What is a Venn probability?In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" between these two events is given by the rule presented as follows:
P(A or B) = P(A) + P(B) - P(A and B)
In the context of this problem, these events are given as follows:
Event A: Passing the math class of Professor Chesley.Event B: Passing the physics class of Professor Lacava.The probabilities of each event and the and probability are listed as follows:
P(A) = 0.58, P(B) = 0.24, P(A and B) = 0.19.
Hence the probability of passing one test or the other is calculated as follows:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.58 + 0.24 - 0.19 = 0.63 = 63%.
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A certain television is advertised as a 37-inch TV (the diagonal length). If the width of the TV is 12 inches, how many inches tall is the TV?
Answer:
35 inches
Step-by-step explanation:
Suppose that the scores of golfers on the PGA tour have a mean of 67.15 and a standard deviation of 3.084. A random sample of 30 is taken from the population. What is the distribution of the sample mean
The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)
The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.
Therefore, for this problem, the distribution of the sample mean can be represented as:
X ~ N(67.15, 3.084/√30)
where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.
This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.
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Help me solve the volume for the sphere?
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
We are given that:
Radius of circle = 2.1 yd
When we substitute the radius in the formula, we get;
⇒ 4 × π × (2.1)³/3
Let π be substituted as 3.14. Then;
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
When evaulating the cube of 2.1, we get;
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
When simplified, we get;
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
Plzzzz help worth 30 points plzzzz help
Answer:
$0.70
Step-by-step explanation:
A square solar panel has an area of 16 square feet. Write the area as a power. Then find the side lengths of the panel.
The area of the solar panel written as power is
square feet.
The side lengths of the solar panel are
feet.
Answer:
area = 4^2
side lengths 4 ft
Step-by-step explanation:
Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?
The most appropriate choice for revenue and profit will be given by-
Profit expected from a 100-well drilling program = $\(146.2\)
What is revenue and profit?
Total income generated by sale of goods and service is called revenue.
If \(p\) is the cost of producing one unit of a commodity and \(q\) is the number of units of the commodity, then the product of \(p\) and \(q\) gives the revenue.
If the revenue obtained by selling a commodity is more than the cost, difference between revenue and cost gives the profit.
Here,
Number of economic wells = 11
An economic well produces an average income of $23
Revenue obtained = $\($\)\((23 \times 11)\)
Number of dry wells = \(100 - 11\)
= \(89\)
Average cost of a dry hole is $1.2 million
Cost of 89 dry holes = $\($\)\((89 \times 1.2)\)
= $\(106.8\)
Profit = Revenue - cost
= $\((253-106.8)\)
= $\(146.2\)
Profit expected from a 100-well drilling program = $\(146.2\)
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Complete Question
The diagram has been attached
Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?
density of 222.50 g and 25.00 cm3
Answer:
8.9 grams per centimeters cubed
Step-by-step explanation:
The formula for density is D=M÷V
Just divide 222.50 by 25.00 and you are done.
If y is inversely proportional to x and y = 5, when x = 7, find the value of y when x = 70
Answer:
y = \(\frac{1}{2}\)
Step-by-step explanation:
Given y is inversely proportional to x then the equation relating them is
y = \(\frac{k}{x}\) ← k is the constant of variation
To find k use the condition y = 5 when x = 7, then
5 = \(\frac{k}{7}\) ( multiply both sides by 7 )
35 = k
y = \(\frac{35}{x}\) ← equation of variation
When x = 70, then
y = \(\frac{35}{70}\) = \(\frac{1}{2}\)
Jack is 12 years older than Brian. Two years from now, Jack will be twice as old as Brian. How old is Brian?
Please don't add a link.
Answer:
Step-by-step explanation:
a. Translate the following statements to their corresponding SYMBOLIC expressions. Be sure to use statement indicators and connective indicators in your translation to produce conditional statements. A TRANSLATION KEY MUST BE PROVIDED FOR EACH EXERCISE (see above for an example).
1) If it is raining, then Jack will not go to the baseball game.
2) I eat, if I'm hungry.
3) Jack watches football on T.V. only if the Ohio State team is playing.
4) Janet plays with weird pets unless it is a tarantula.
5) When I watch a baseball game, I eat several hot dogs.
b. For these five statements above, identify the antecedent and the consequent for each conditional.
If it rains, Jack will not attend the baseball game.
P: It is raining.
Q: Jack will not be attending the baseball game.
P is the antecedent, and Q is the consequent.
(If P is true, then Q is true.)
If it rains, Jack will not be able to attend the baseball game.
What is symbolic expression?Symbolic expression (plural figurative expressions) (computing) A method of representing semi-structured data in human-readable text form that is mostly made up of symbols and lists and is widely used in the Lisp programming language.
Symbolic speech consists of nonverbal, nonwritten forms of communication such as flag burning, arm band wearing, and draught card burning.
A literary symbol is an object, a person, a situation, or an action in a story that has a literal meaning but implies or represents other meanings.
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Seven apple women possessed respectively 20,40,60,80,100,120,and 140 apples, went to market and sold all their apples at the same price,and each received the same sum of monkey.What was the price?
Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.
Step-by-step explanation:
given data:
20,
40,
60,
80,
100,
120,
140.
solution.
first woman 20 apples
= 2 + 3 * 6¢.
= 20¢.
second woman 40 apples
= 5 + 5 * 3¢.
= 20¢.
third woman 60 apples
= 8 + 4 * 3¢.
= 20¢.
fourth woman 80 apples
= 11 + 3 * 3¢.
= 20¢.
fifth woman 100 apples
= 14 + 2 * 3¢.
= 20¢.
sixth woman 120 apples
= 17 + 1 * 3¢.
= 20¢.
seventh woman 140 apples
= 20 * 1¢.
= 20¢.
0.6 ft.
216 in.
0.6 ft.
0.6 ft.
B
A
Given the conversion factor 17th, which has the
larger volume?
Answer:
B because of her size
I hope
what equation represents the line that passes through the points (3, -2) and (-1, 10)
Answer:
y=-3x-9
Step-by-step explanation:
Let's find the slope of the line
m=-2-10/3--1
m=-12/4=-3
The equation is given as
y-y1=m(x-x1)
y--2=-3(x-3)
y+2=-3x+9-2
y=-3x-7-2
y=-3x-9
a theater is staging a series of 12 different plays. you wawnt to attend at least 3 of the plays. how many different combinations of plays can you attend?
You can attend 4,941 different combinations of plays at the theater.
To find the different combinations of plays that you can attend, we need to use the combination formula. Since you want to attend at least 3 plays, we can calculate the combinations for attending 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12 plays.
For attending 3 plays, the number of combinations is 220.
For attending 4 plays, the number of combinations is 495.
For attending 5 plays, the number of combinations is 792.
For attending 6 plays, the number of combinations is 924.
For attending 7 plays, the number of combinations is 792.
For attending 8 plays, the number of combinations is 495.
For attending 9 plays, the number of combinations is 220.
For attending 10, 11, or 12 plays, there is only one combination each.
Therefore, the total number of different combinations of plays that you can attend is:
220 + 495 + 792 + 924 + 792 + 495 + 220 + 1 + 1 + 1 = 4,941
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12a-3b2. When a=9 b=4