Answer:
255
Step-by-step explanation:
use calculator
Answer:
255
Step-by-step explanation:
∑ᵢ₌₁⁸ 2ⁱ⁻¹
Using brute force method:
S = 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷
S = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128
S = 255
Using formula:
S = a₁ (1 − rⁿ) / (1 − r)
S = 1 (1 − 2⁸) / (1 − 2)
S = 255
Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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Find the number of integers n that satisfy n^2 < 100.
Answer:
n=-9,-8,-7
Step-by-step explanation:
n<100
but that is the positive square root
\(-10 n is between the negative and positive square root of 100
thus, n=-9,-8,-7
The solution of the inequality n² < 100 will be less than 10.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The inequality is given below.
n² < 100
Simplify the equation, then we have
n² < 100
n² < 10²
n < 10
The solution of the inequality n² < 100 will be less than 10.
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A Gallup poll conducted in November of 2011 asked the following question, “What would you say is the most urgent health problem facing this country at the present time?” The choices were access, cost, obesity, cancer, government interference, or the flu. The responses were access (27%), cost (20%), obesity (14%), cancer (13%), government interference (3%), or the flu (less than 0.5%).
The following is an excerpt from the Survey Methods section. “Results for this Gallup poll are based on telephone interviews conducted Nov. 3-6, 2011, with a random sample of 1,012 adults ages 18 and older, living in all 50 U.S. states and the District of Columbia. For results based on a total sample of national adults, one can say with 95% confidence that the maximum margin of sampling error is ±4 percentage points.”
The results show that the most common response was access, with 27% of the respondents choosing it as the most urgent health problem.
Cost came in second place, with 20% of the respondents choosing it. Obesity and cancer followed closely behind, with 14% and 13% of the respondents choosing them, respectively. Government interference and the flu were the least common responses, with only 3% and less than 0.5% of the respondents choosing them, respectively.
The margin of sampling error for the poll is ±4 percentage points, which means that if the poll was conducted multiple times, 95% of the time, the results would be within 4 percentage points of the actual population values.
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Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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Convert the measurement:
3 inches to centimeters
O 7.00 cm
0 2.78 cm
O 8.21 cm
O 7.62 cm
Step-by-step explanation:
ans is 7.62
1 inch =2.54cm
2.54 multiplied by 3=7.62
what's the answer for this equation
x^3 - 3x^2 + 3x - 1 > 3/2x(x - 1)
hello
the answer to the question is:
x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->
(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->
(1/2)x < - 1 ----> x < 2
35. Two bags contain discs.
Bag A contains 12 discs.
5 of the discs are red, 6 are blue and 1 is
white.
Bag B contains 25 discs.
n of the discs are red and the rest are blue.
James takes at random a disc from Bag A.
Lucy takes at random a disc from Bag B.
Given that the probability that James and
Lucy both take a red disc is
15
2
(i) find the value of n, the number of red discs
in Bag B.
(ii) Hence calculate the probability that James
and Lucy take discs of different colours.
Answer:35. Two bags contain discs.
Bag A contains 12 discs.
5 of the discs are red, 6 are blue and 1 is
white.
Bag B contains 25 discs.
n of the discs are red and the rest are blue.
James takes at random a disc from Bag A.
Lucy takes at random a disc from Bag B.
Given that the probability that James and
Lucy both take a red disc is
15
2
(i) find the value of n, the number of red discs
in Bag B.
(ii) Hence calculate the probability that James
and Lucy take discs of different colours.
Step-by-step explanation:
Which of these expressions is equivalent to (2/3)⁵
A.10/15
B.25/35
C.5²/5³
D.2⁵/3⁵
what is 2 divided by 10 plus 5
Answer:
5.2
Step-by-step explanation:
2/10 + 5
the L.C.M = 10
(2+50)/10 =52/10
= 5.2
Four different exponential functions are represented below.
Drag the representation of each function into order from greatest y-intercept to least y-
intercept.
The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.
How to solve
We have the 4 functions as shown in the image attached.
The y - intercept is the point where the graph intercepts the y - axis.
Function [1] -
y = 4 + 2x
y - intercept is 4
Function [2] -
y = 5ˣ + 1
y - intercept is 2.
Function [3] -
the y-intercept is 1.
Function [4] -
the y - intercept is at -1.
Therefore, the greatest y-intercept is of function -
f(x) = 2x + 4
and the least y-intercept is of the function shown in graph [4] or function [4].
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Answer:
Carlos puts $3 into his bank account and it grows by 50% each year
f(x)=4^x+1
(The Table)
(The Graph)
Thirty-four percent of workers in the Unites States are college graduates. Suppose a random sample of 120 workers is obtained and 35 of them have a college degree.
a) What are the mean and standard deviation of the number of workers with a college degree respectively?
b) What is the probability that the number of workers with a college degree is at least 35?
The mean number of workers with a college degree is 40.8, and the standard deviation is 5.37.
The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.
Given Sample size (n) is 120 workers
Proportion of workers who are college graduates (p): 34% or 0.34
a) Mean and Standard Deviation:
The mean (μ) of a binomial distribution is given by μ = np, and the standard deviation (σ) is given by σ =√np(1 - p).
Substituting the values:
μ = 120 ×0.34 = 40.8
σ = √120 × 0.34 × (1 - 0.34)) = 5.37
To find the probability that the number of workers with a college degree is at least 35
we need to calculate the cumulative probability of the binomial distribution from 35 to the maximum possible value, which is 120 in this case.
Using a binomial probability calculator or a statistical software, we can find this probability.
Assuming a binomial distribution with parameters n = 120 and p = 0.34, the probability can be calculated as follows:
P(X ≥ 35) = 1 - P(X < 35)
The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.
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Decide whether the statement is possible or impossible.
sin^2θ+cos^2θ=8
Is the statement possible or impossible, and why? Show all work and reasoning for answer.
The statement sin²Ф + cos²Ф = 8 is impossible.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
sin²Ф + cos²Ф = 8 ____(1)
The standard formula is sin²Ф + cos²Ф = 1 _____(2)
Now,
Comparing (1) and (2).
sin²Ф + cos²Ф = 8 is never possible unless 8 is on both sides.
i.e
8 (sin²Ф + cos²Ф) = 8
Thus,
The statement is impossible.
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Stacy is 3 years younger than twice her sister’s age. Which equation can be used to determine her sister’s age if Stacy is 13 years old? A. 2x – 3 = 13 B. 3 – 2x = 13 C. 2(x – 3) = 13 D. 2(3 – x) = 13
Answer:
Option A is the correct answer.
Step by step explanation :
It's given that Stacy is 3 years younger than twice her sister's age.
Let's consider her sister's age to be 'x'
So Stacy's age = 2x - 3
Since Stacy's age is 13, we get
13 = 2x - 3
Or 2x - 3 = 13
Solve for x.
2x/3 + 1 = 3
x = 1
x = 2
x = 3
x = 6
Answer:
The correct answer is x=3 trust me. Im good at math got 1st place on 1v1 equations in my school hope this helped.
Step-by-step explanation:
Answer:
\(\boxed {\tt x=3}\)
Step-by-step explanation:
We want to solve for x, therefore we must isolate the variable.
We are given the equation:
\(\frac{2x}{3} +1=3\)
1 is being added to 2x/3. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.
\(\frac{2x}{3}+1-1=3-1\)
\(\frac{2x}{3} =2\)
2x is being divided by 3. The inverse of division is multiplication. Multiply both sides by 3.
\(3*\frac{2x}{3} =2*3\)
\(2x=2*3\)
\(2x=6\)
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
\(\frac{2x}{2} =\frac{6}{2}\)
\(x=\frac{6}{2}\)
\(x=3\)
The solution to the equation is x=3.
Irene y Alejandro tienen 73 libros irene tiene el doble que Alejandro mas 1 cuantos libros tiene cada uno?
Irene has 49 Books, and Alejandro has 24 books.
Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:
1. Irene has twice as many books as Alejandro plus 1:
x = 2y + 1
2. The total number of books between Irene and Alejandro is 73:
x + y = 73
We can now solve this system of equations to find the values of x and y.
Substituting the value of x from equation (1) into equation (2), we have:
(2y + 1) + y = 73
3y + 1 = 73
3y = 72
y = 24
Now, we can substitute the value of y into equation (1) to find x:
x = 2(24) + 1
x = 49
Therefore, Irene has 49 books, and Alejandro has 24 books.
To verify our solution, we can check if the sum of their books equals 73:
49 + 24 = 7
So, our solution is correct.
In conclusion, Irene has 49 books, and Alejandro has 24 books.
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an employee at a factory is paid $9.25 per hour plus a $8.00 bonus for every 20 transformers assemble.
Answer:
Step-by-step explanation
Answer:
$13.47 per hour
Step-by-step explanation:
Total earnings = 9.25 (h) + 8 (t/20)
Where h is the number of hours and t is the number of transformers.
Since he worked for 36 hours and assembled 380 transformers:
Total earnings = 9.25 (36) + 8 (380/20)
Total earnings = 333+152 = $485
Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):
485/36 = $13.47 per hour.
List all elements in A. A={x EZ: (2x-2)
Answer:
it's a that is the right answer
Answer:
Step-by-step explanation:
A={x EZ: (2x-2)} is a set notation that describes the set of all integers x that satisfy the condition (2x-2).
To find all the elements in this set, we can substitute in integers for x and check which ones satisfy the condition.
2x - 2 = 0
2x = 2
x = 1
So, the element in set A is {1}.
The set A contains only one element, which is x = 1, as it is the only integer value that satisfies the condition (2x-2) = 0.
It's also worth noting that a set can also be empty, in that case it would be written as a empty set and denoted by {}.
42+32 / 4 step by step
Answer:
21.25 is your answer
Step-by-step explanation:
42 + 32 = 84
84 divided by 4 = 21.25
Hope this helps you :)
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What is the equation of the line that passes through the point (4, 6) and has an
undefined slope?
Answer: x=4
Step-by-step explanation:
In a class of 25 students, there were 13 math majors, 10 were computer science majors, and 6 were dual majors in both.
How many were in math only?
How many were not majoring in computer science?
How many were not math or computer science?
Answer:
How many were in math only?7
How many were not majoring in computer science?9
How many were not math or computer science?2
Step-by-step explanation:
Total students 25
-math major 13
-Science major 10
_______________
2 not majoring in math or CS majors
math major 13 -6 dual majors = 7 major in math only
math major 7+ not math or CS 2 = 9 not majoring in CS
Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0
The radius of a circle is 19 cm. Find the area
Answer: 1134.11
A=3.14*r^2
Step-by-step explanation:
Answer:
a ≈ 1134.11 cm2
Step-by-step explanation:
The formula:
\(a=\pi r^{2}\)
\(a=\pi (19)^{2} =361\pi\)
\(a=1134.11cm^{2}\)
Hope this helps
· The list price of an article is 25% above the selling price and the cost
price is 40% below the list price. Find the rate of discount and profit?
Answer:
p=25%
discount=25%
Step-by-step explanation:
Cost Price = 1.25 x - .4(1.25x)= 1.25x- .5x
Cost Price = .75x
S P = C+P
Profit = Selling price - Cost price
= x - 0.75x
=0.25x
the Profit is 25 %
Discount is 25 %
Helps please !!!!!! ASAP
Answer:
23/3 this the mixed number hope this helps
Samira wants to carpet her bedroom. She wants
to know the amount of carpeting in square
meters needed to cover the empty space in the
room. The dimensions of the bed and closet are
given in the table.
Samira will need 14.1 square meters of carpeting to cover the empty space in her bedroom.
Samira wants to carpet her bedroom, and she wants to know the amount of carpeting in square meters needed to cover the empty space in the room. The dimensions of the bed and closet are given in the table.
To determine the amount of carpet needed to cover the empty space in the bedroom, we must first calculate the area of the room. To do this, we will multiply the length and width of the room, excluding the bed and closet.
The width of the room is 3.6 m and the length is 5.2 m. The area of the room is therefore: Area of room = length × widthArea of room = 5.2 m × 3.6 mArea of room = 18.72 m²To determine the amount of carpet needed to cover the empty space in the bedroom, we must subtract the area of the bed and closet from the area of the room.
Area of bed = length × width Area of bed = 2 m × 1.5 mArea of bed = 3 m²Area of closet = length × width Area of closet = 1.8 m × 0.9 mArea of closet = 1.62 m²Total area of bed and closet = 3 m² + 1.62 m²Total area of bed and closet = 4.62 m²Area of empty space = area of room - total area of bed and closet Area of empty space = 18.72 m² - 4.62 m²Area of empty space = 14.1 m²
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Calculate the bearing of Y from X
Answer:
074°
Step-by-step explanation:
the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY
∠ NXY = 180° - 106° = 74°
the 3- figure bearing of Y from X is 074°
Kaitlyn is trying to put in a water pipe underneath the
ground for her pool. The pipe will run from point G(c,6) to
point H(-5,d) on the coordinate grid. Which expression
represents the shortest distance between M and N in
units.
The shortest distance between the two points is √[(c + 5)² + (6 - d)²]
How to determine the shortest distance between the two points?From the question, we have the following points that can be used in our computation:
G = (c, 6) and H = (-5, d)
The distance between the two points can be calculated using the following distance equation
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (c, 6) and (-5, d)
Substitute (x, y) = (c, 6) and (-5, d) in distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
distance = √[(c + 5)² + (6 - d)²]
Hence, the distance expression is √[(c + 5)² + (6 - d)²]
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If 2x=4(5−2x), then x =
Answer:
here's your answer
hope this helped you
please mark as the the brainliest(ㆁωㆁ)
Step-by-step explanation:
2x=4(5-2x)2x=20-8x2x+8x=2010x=20x=2Do not put any punctuation (other than a necessary decimal place) or spaces into your answer.
When Claudia borrowed $6400 at 11% compounded semiannually for three years, the value of the rate per period was
Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.
What is compound interest?
compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.
Capital(p) = $6400
Rate of interest(r) = 11%
Years(n) = 3
The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).
Now
\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)
The entire amount (Capital+interest) is equal to $8752.8384.
If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)
Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.
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