what is the value of the expression (36 1/2)^2
Northlake high scores to lunch. Soon can eat their lunch in the cafeteria or on an outside patio about 35% of students who have first lunch eat outside compare this with a percenta
Answer:
The proportion of second lunch students who eat outside is more than that for the first lunch students.
Step-by-step explanation:
The complete question is:
Points Northlake High School has two lunch periods. Students can eat their lunch in the cafeteria or on an outside patio. About 35% of students who have first lunch eat outside. Compare this with the percentage of second-lunch students who eat outside.
Eat Outside Eat Inside Total
First Lunch 0.19 0.35 0.54
Second Lunch 0.22 0.24 0.46
Total 0.41 0.59 1.00
Solution:
The conditional probability of an event B given that another event A has already occurred is:
\(P(B|A)=\frac{P(A\cap B)}{P(A)}\)
The probability of students who have second lunch (S) and eat outside (O) is:
P (S ∩ O) = 0.22
The probability of students who have second lunch (S) is:
P (S) = 0.41
Compute the proportion of student who eats outside given they have second lunch as follows:
\(P(O|S)=\frac{P(S\cap O)}{P(S)}\)
\(=\frac{0.22}{0.41}\\\\=0.536583\\\\\approx 0.54\)
The proportion of second lunch students who eat outside is more than that for the first lunch students.
Use the drop-down menus to choose steps in order to correctly solve
4k−6=−2k−16−2 for k.
Answer:
down menus to choose steps in order to correctly solve
down menus to choose steps in order to correctly solve4k−6=−2k−16−2 for k.
Anw.
-2
ep.
4k - 6 = -2k - 16 -2
4k - 6 = -2k - 18
4k - 6 + 2k = -18
4k - 2k = -18 + 6
6k = -18 + 6
6k = -12
k = -2
how could a western district become a state?
Answer:
What are you looking at ᭙єɨᏒᗡꪮ
Explanation:
The most significant int It provided that at least three buWisconsin. A portion (about a third) of wo part of the territory.
hehehehehehe
brb expression using exponents
we use exponents to show how many times does a number multiply by itself
then
\(b\times b\times b\)is the multiplication between b's 3 times, then the expression using exponents is
\(b^3\)which value for x makes the sentence true? 1/40 + x = 1/8
Answer:
x = 1/10
Step-by-step explanation:
1/40 + x = 1/8
Subtract 1/40 from each side
1/40-1/40 + x = 1/8-1/40
x = 1/8 - 1/40
Get a common denominator
x = 1/8 *5/5 - 1/40
x = 5/40 - 1/40
x = 4/40
Simplify
x = 1/10
PLEASE HELP THIS IS DUE TMRW!!
9. On January 18, 2002, the temperature in Charlottetown, Prince
Edward Island, was – 21°C; in Sydney, Nova Scotia, it was -23°C;
in Point Lepreau, New Brunswick, it was -22°C. Which place was
the warmest Coldest? How do you know?
Answer:
Sydney, Nova Scotia
Step-by-step explanation:
Out of all 3 Sydney, Nova Scotia would be the coldest because -23 degrees is lower than -21 and -22. When using a thermometer the lower it is the colder, so Nova Scotia would be your answer.
Answer:
Charlottetown, Prince Edward Island, is the warmest. Sydney, Nova Scotia is the coldest. The larger the negative number the more cold it is while the lower the negative number, it becomes warmer.
Step-by-step explanation:
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. What is the maximum area of a Norman window whose perimeter is 9 feet?
The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:
πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:
A = (πr^2)/2 + rh
To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:
r = (9 - 2h)/(π)
Now we can rewrite the area function in terms of h only:
A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)
Simplifying this equation, we get:
A = (1/2)(9h - h^2/π)
To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:
dA/dh = 9/2 - h/π = 0
Solving this equation, we find:h = 9π/2
Substituting this value of h back into the area function, we get:
A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4
Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
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Solve for y 35 = 11y
Answer:
y=35/11
or
3.18 repeating
Step-by-step explanation:
Answer: 3.18181818182y
Step-by-step explanation:
You would do 11y divided by 11. Then 35 divided by 11.
That would get you 3.18181818182=y
The coldest temperature
recorded in Buffalo was-39°F. This was 12°F
warmer than the coldest temperature recorded
in Chicago. Which equation can be used to find
the coldest temperature recorded in Chicago?
What is the coldest temperature recorded in
Chicago?
A. C-12-39; -51°
B. C+12=-39; -27°
C. C-12-39; -27°
D. C+12=-39; -51°
Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°
What is the temperature at its coldest in Chicago?When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.
The formula would therefore be:
C = -39 + 12
Making the Buffalo temperature the subject gives;
C - 12 = -39
The coldest temperature in Chicago is:
= -39 + 12
= -27°F
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(x-8)x(-7x-17) - simplify
Answer:
-7x^3+39x^2+136x
Step-by-step explanation:
= x(x-8) (-7x - 17)
( x - 8 ) ( -7 x - 17) : -7x^2 + 39x+136
= x( -7x^2 + 39x + 136)
= x( -7x^2) + x * 39x * 136
= -7x^3 + 39x^2 + 136x
Given that an investment into a college fund is represented by A=12,000e^(0.023*12) , match each value to the correct description of the value in the context of the question. 12,000 The amount of money in the account at the end of the time given. e
The initial amount of money invested into the college fund 0.023
The interest rate.
The interest is compounded continuously.
The amount of years the money is invested.
As per compound interest, the account balance at the end of 12 years is approximately $17,217.
Compound interest is an important concept in finance and investing, and it plays a critical role in understanding how your money can grow over time. When you invest money, your initial investment earns interest, and over time, that interest can also earn interest, resulting in exponential growth.
In the context of this question, the investment into a college fund is represented by the equation
=> \(A = 12,000e^{0.023*12}\)
where A is the amount of money in the account at the end of the time given. Let's break down the different components of this equation and see how they relate to compound interest.
First, we have the initial investment, which is not explicitly given in the equation, but we can infer that it is 12,000. This is the amount of money that is initially invested into the college fund.
Next, we have the interest rate, which is 0.023.
Finally, we have the amount of time that the money is invested, which is 12 years in this case. The longer the money is invested, the more time there is for compound interest to work its magic and grow the account balance.
Putting all of these components together, we can use the equation
=> \(A = 12,000e^{0.023*12}\)
to calculate the amount of money in the college fund at the end of 12 years.
By plugging in the values for the initial investment, interest rate, and time, we can see that the account balance at the end of 12 years is approximately $17,217.
This represents the power of compound interest and how it can turn a modest initial investment into a substantial sum over time.
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Find the missing angle
RPQ= __________
The value of angle RPQ in the circle is 115 degrees.
How to find the angle in the circle?Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)
arc angle RQ = 175 degrees
arc angle SA = 55 degrees
Hence,
∠RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
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Answer: 115 degrees
Step-by-step explanation:∠
RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
X over 21 equals 12/18
Answer:
14
Step-by-step explanation:
x/21=12/18
18x=252
14
Bobby learned that there are 44,678 species of spiders in the world he also learned that there are about 22,599 species of ants if the total number of spiders ant and grasshopper species in approximately 77,281 how many species of grasshoppers are there
If x = 8 units, y = 5 units, and h = 3 units, then what is the area of the parallelogram shown above?
Answer:
Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....
Using Diagonals: A = ½ × d1 × d2 sin (y)
Using Base and Height: A = b × h
Using Trigonometry: A = ab sin (x)
Which statement is not always true for a parallelogram?
Answer:
A.
Step-by-step explanation:
The angles are not always congruent as the only way for them to all be congruent is if it were to be a square, and not all parallelograms are squares.
Solve tan x + 1 = 0 on the interval [0, 2n).Ο π 5π4' 4π 5π6' 63π43π3π 7π44.
The question is given by:
\(\tan x+1=0\)\(\lbrack0.2\pi)\)The solution is given by:
\(\tan x=-1\)Now this value is possible only if
\(x=\frac{3\pi}{4},\frac{7\pi}{4}\)So the answer is option D
The length of a rectangular yard is 5 less than twice the width. The perimeter of the yard is 80 meters. Find
the dimensions of the yard
how do i solve 1-(1+.04/12)^-12x10
To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.
Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).
Step 3: Add 1 to 0.0033333 to get 1.0033333.
Step 4: Raise 1.0033333 to the power of -120.
Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.
Step 6: Subtract the value obtained in Step 5 from 1.
1 - 0.742657 = 0.257343 (approximately).
Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.
It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.
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Help pldssssssss………………..
The missing value for the quadratic function is given as follows:
y = -3.
How to obtain the quadratic function?As a function of it's roots x* and x**, the quadratic function is defined as follows:
y = a(x - x*)(x - x**)
In which a is the leading coefficient.
The roots of the function are the values of x when y = 0, hence:
x* = -4, x** = -2.
Thus:
y = a(x + 4)(x + 2)
y = a(x² + 6x + 8).
When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:
8a = -8
a = -1.
Hence:
y = -x² - 6x - 8;
The missing value is the value of y when x = -1, hence:
y = -(-1)² - 6(-1) - 8
y = -3.
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The temperature at 4pm one day was -11° Celsius by 11 pm the temperature had risen by 16 degrees find the temperature at 11 pm the temperature at 11 pm was (blank) ° C
The temperature at 11 pm is 5 degrees
Here, we want to find the temperature at 11 pm
The temperature rose by 16 degrees from -11 degrees . By rising, we mean an increase in the positive direction
Mathematically, that would be;
-11 + 16 = 5 degrees
help please i can't find anything
Answer:
The answer is -40
Step-by-step explanation:
Answer: 19x - 216/6
Explanation: Hope this helps!
Find area of trapezoid
The area of the trapezoid is equal to 45 square units.
How to determine the area of a trapezoid
Herein we find the area of a part of given curve, representing a trapezoid, that must be determined by means of the following formula:
A = 0.5 · h · (B + b)
Where:
A - Areab - Lesser baseB - Greater baseh - HeightIf we know that B = 20, b = 10, h = 3, then the area of the trapezoid is:
A = 0.5 · (20 + 10) · 3
A = 0.5 · 30 · 3
A = 15 · 3
A = 45
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Pls help i need this ASAP!
The solution for the given inequalities are as follows
(17)k≥1 ,(18)c > 14 ,(20)y ≥ 2 ,(21)z < 9 ,(23)x < 1 ,(24)v ≤ -1 .
In the question ,
it is given that
(17) the inequality
3(k-5)+9k≥-3
3k-15+9k ≥ -3
12k -15 ≥ -3
12k ≥ 15-3
12k ≥ 12
k≥1
(18) the inequality
-(7c-18)-2c > 0
-7c+126-2c>0
-9c+126>0
-9c > -126
c > 126/9
c > 14
(20)given the inequality
-4 ≤ 4(6y-12)-2y
-4 ≤ 24y - 48 -2y
-4 ≤ 22y - 48
48-4 ≤ 22y
44/22 ≤ y
y ≥ 2
(21) given the inequality
30 > -(5z+15)+10z
30 > -5z -15 +10z
30 > 5z-15
45 > 5z
45/5 > z
z < 9
(23) given the inequality
4x+3 < 3x+6
4x-3x < 6-3
3x < 3
x < 1
(24) given the inequality
4v+8 ≥ 6v+10
-10+8 ≥ 6v-4v
-2 ≥ 2v
-2/2 ≥ v
-1 ≥ v
v ≤ -1
Therefore , the solution for the given inequalities are (17)k≥1 ,(18)c > 14 ,(20)y ≥ 2 ,(21)z < 9 ,(23)x < 1 ,(24)v ≤ -1 .
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Hi! Can anyone help please, I have been trying this problem for the past hour and I got slope-intercept equation like this but I don't know what to do y=1/2x+5
The graph of a function g is shown below. Find the following:
g(10)
Answer: 8
Step-by-step explanation:
A really simple way to solve these problems is to think of g(whatever number) as the y coordinate on your graph. Therefore the question is basically asking you if x is 10, what is y. If we find 10 on the x axis, we can count up the y axis until we reach the line. So, the answer is 8
Yes you found it correct as per slope intercect form y=mx+b
Here
y=1/2x+5Slope=m=1/2
Y intercect=5
Now.
for g(10)
The coordinate is (10,8)
So
g(10)=8
Write the algebraic expression that represents the following:
a. The difference between six times a number and two
b. Five less than the quotient of nine and a number
c. One half of the sum of six times a number and twenty-two
d. Nine less than twice the difference between a number and seven
e. Eleven less than a number squared
14. y = -(x - 2)² + 1 graphed
Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.
How do you draw a graph ?\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)
Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)
Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)
Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .
Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .
The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.
There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.
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What is the pattern for the sequence 1.3, 8.3, 27.3, 64.3,…?
The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3
Calculating the pattern for the sequenceThe pattern in the question is given as
1.3, 8.3, 27.3, 64.3,…
In the above expressions and pattern, we can see that
The decimal part remain unchangedThe digit before the decimal is the cube of its positionFrom the above, we have the following
Current term = (n)³.3
Note that the decimal does not represent product
And also the pattern is a geometric sequence
Hence, the pattern for the sequence is f(n) = (n)³.3
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please help me with trigonometry
The length of the guy wire to the nearest foot would be = 10 ft.
How to calculate the length of the guy wire?The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.
The distance from the stake to the pole (opposite) =a = 5 ft
The distance from the pole to the tower (adjacent) =b= 9ft
The length of the guy wire= c = X
Using the Pythagorean formula:
c² = a² + b²
c² = 5² + 9²
c² = 25+81
c² = 106
C = √106
C= 10 ft ( to the nearest foot)
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Complete question:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.