The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
The English teachers at Baker High School added a new class in creative writing. The teachers
expected 20 students to sign up, so they were very surprised when 45 students actually
enrolled. What is the percent error for their estimate?
Lillian bought a $600 laptop using a credit card. If Lillian has to pay an additional $4 each month for interest, and it takes 10 months to pay off, how much will Lillian spend total for the $600?
Answer: $640
Step-by-step explanation:
4 x 10 (months)
= 40
$600 + $40
= $640
Mr. Anderson decides to visit a childhood friend. His car gives him 24.8 miles to the gallon. Mr. Anderson has 7 gallons of fuel. Which of the following is true? A.
Mr. Anderson can travel 173.6 miles.
B.
Mr. Anderson can travel 86.8 miles.
C.
Mr. Anderson can travel 124.6 miles.
D.
Mr. Anderson can travel 222.6 miles.
Answer:
A
Step-by-step explanation:
24.8 x 7 = 173.6
Risk must be determined by assessing both the magnitude (or severity) and the probability (or likelihood) of harm. Both elements must be considered. Although the probability that an individual subject could be identified is low, the magnitude of the possible harm is high given the sensitivity of the information.
Magnitude refers to the severity of the harm, while probability is the likelihood of it occurring. In the given scenario, even though the probability of identifying an individual subject is low, the high magnitude of harm due to the sensitive nature of the information makes it necessary to consider both elements when determining overall risk.
When determining risk, it is important to take into account both the magnitude and probability of harm. The magnitude refers to the severity or level of harm that could occur, while probability refers to the likelihood of harm occurring. In mathematics, the size or size of a mathematical object is a property that determines whether that object is larger or smaller than other objects of its kind. More formally, the size of an object is the result of identifying (or ranking) the category of objects to which it belongs.
In the given scenario, even though the probability of an individual being identified is low, the magnitude of harm is high due to the sensitivity of the information. Therefore, it is crucial to consider both elements when assessing risk in order to make informed decisions and take necessary precautions.
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If sin theta = -4/5 and theta is in quadrant 4, the value of sec theta is _____. If necessary, use the slash mark (/) for a fraction bar.
Answer:
\( \frac{5}{3} \)
Step-by-step explanation:
What we need to find
We are given that sin theta=-4/5It is also in the 4th quadrant.Our problem is that there isn't a known or straight to identity invlonlving sin and sec so we need to use a series of trig identies to find this answer.Sec and cos are reciprocal identies and sin and cos are pythagorean identies so we can use those.Use the pythagorean identies to find cosine.
\( \sin {}^{2} (x) + \cos {}^{2} (x) = 1\)where x is theta.
Plug in -4/5 for x in sin squared.
\( \sin {}^{2} ( - \frac{4}{5} ) + \cos {}^{2} (x) = 1\)
\( \sin( \frac{16}{25} ) + \cos {}^{2} (x) = 1\)
\( \cos {}^{2} (x) = 1 - \frac{16}{25} \)
\( cos {}^{2} (x) = \frac{9}{25} \)
\( \cos(x) = \frac{3}{5} \)
cosine in the 4th quadrant is positve so 3/5 is cosine of theta.
Cosine and secant are reciprocal so just flip the numbers to find the secant.
\( \sec(x) = \frac{5}{3} \)
Answer:
5/3 is the correct answer
Step-by-step explanation:
a p e x
If given points A at (6, 3) and B at (-1,4), determine AB
HELP ASAP
Answer:
AB = 5\(\sqrt{2}\)
Step-by-step explanation:
Calculate the distance using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = A(6, 3) and (x₂, y₂ ) = B(- 1, 4)
AB = \(\sqrt{(-1-6)^2+(4-3)^2}\)
= \(\sqrt{(-7)^2+1^2}\)
= \(\sqrt{49+1}\)
= \(\sqrt{50}\)
= 5\(\sqrt{2}\) ← exact value
≈ 7.07 ( to 2 dec. places )
which angle is supplementary to angle EOB
Answer:
Angle BOC
Please mark brainliest!!! Thanks.
12(5x + 10x²) = 256 + 60x
How do I solve this equation
Answer:
30
Step-by-step explanation:
idek
Find the amount accumulated after
investing a principal P for t years at an
interest rate compounded k times per year.
k = 365
P = $3,350 r = 6.2% t = 8
Hint: A = P (1+)kt
A = $[?]
Hence, after investing $3,350 for 8 years at a 6.2% interest rate, compounded 365 times a year, the total amount is roughly $4,865.25.
what is amount ?In mathematics, the term "amount" typically refers to a number or a thing's numerical value. It can stand in for anything that can be counted or measured, such as the amount of money in a checking account, the time needed to finish a task, or the concentration of a specific item in a solution. Several branches of mathematics, such as arithmetic, algebra, and calculus, all depend on the idea of amount.
given
With a principal of P and an interest rate of r compounded k times annually, the amount amassed after t years is calculated as follows:
\(A = P(1 + r/k)^(kt) (kt)\)
Putting in the specified values
P = $3,350
r = 6.2%
t = 8
k = 365
\(A = $3,350(1 + 0.062/365)^(365*8)\)
A ≈ $4,865.25 (rounded to the nearest cent) (rounded to the nearest cent)
Hence, after investing $3,350 for 8 years at a 6.2% interest rate, compounded 365 times a year, the total amount is roughly $4,865.25.
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Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?
Please please help me with this!
Answer:
the first one (:
Step-by-step explanation:
PLEASE HELP! 10 points!
Step-by-step explanation:
It easy isn't it my friend
Determine whether the given set is a function or not. Explain.
{(6,-1), (-4,2), (5,2), (4,6), (6,5)}
Answer: No.
Step-by-step explanation: A function means that for every x, there is only ONE y value. In this case, 6 can be either -1 or 5, which is more than one value.
Answer:
The given set is NOT a function
Step-by-step explanation:
A function is a given set of data in which no x values repeat, where y values may or may not repeat. Since this given set does have a x value that repeats, it is not a function!
A science club at Emily’s middle school has 25 members. Only 40% of the members attended Saturday meetings. What is the number of members that attended the Saturday meetings?
A. 6
B. 9
C. 10
D. 15
(Will give brainliest and a heart)
lol i’m using this app to check my work
The average error rate of a typesetter is one in every 500 words typeset. A typical page contains 300 words. What is the probability that there will be no more than two errors in five pages
The probability of having no more than two errors in five pages, with an average error rate of one in every 500 words typeset and each page containing 300 words, can be calculated using the binomial distribution. The probability is approximately 0.9947, or 99.47%.
Let's calculate the probability step by step. The average error rate is given as one error in every 500 words typeset. Therefore, the probability of making an error on a single word is 1/500, and the probability of not making an error on a single word is 499/500.
Since each page contains 300 words, the probability of not making an error on a single page is \((499/500)^{({300)\), as the events are independent. The probability of making at least one error on a page is the complement of not making any errors, which is 1 - \((499/500)^{({300)\).
Now, we need to calculate the probability of having no more than two errors in five pages. We can use the binomial distribution to find this probability. The formula for the binomial distribution is
P(X ≤ k) = ∑(i=0 to k) (n choose i) * p^i * (1-p)^(n-i), where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose i) is the binomial coefficient.
In this case, n = 5 (number of pages), k = 2 (maximum number of errors), and p = 1 - \((499/500)^{({300)\). By calculating the sum using the binomial distribution formula, we find that the probability of having no more than two errors in five pages is approximately 0.9947, or 99.47%.
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suppose that you have declared an array as follows: num values[4] = 0, 0, 0, 0. which of the following is an allowed operation?
One allowed operation on this array is assigning values to its elements. For example, you could write:
```
values[0] = 5;
values[1] = 2;
values[2] = 9;
values[3] = -3;
```
Assigning values to array elements: You can assign new values to individual elements of the array. For example, you can set values[0] = 10 to change the value of the first element to 10.
Accessing array elements: You can access the elements of the array using their index. For example, you can retrieve the value of the third element by accessing values[2].
Comparing array elements: You can compare the values of different elements within the array using comparison operators such as ==, >, <, etc. For example, you can check if values[0] == values[1] to compare the first and second elements.
Performing arithmetic operations: You can perform arithmetic operations on the array elements individually or between different elements. For example, you can add two elements together like values[0] + values[1] to obtain their sum.
This would result in the array `values` containing the values `{5, 2, 9, -3}`. Other allowed operations could include passing the array as an argument to a function, or using a loop to iterate over its elements. However, attempting to access elements outside the range of the array (e.g. `values[4]` or `values[-1]`) would result in undefined behavior.
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Help me ASAP!!!! Please asap!!! I will give 50 points for the correct answer!
Answer:
10
Step-by-step explanation:
The equation of a triangle is that all the angles add up to 180°.
So,
180 = 90 + 27 + (6x+3)
180 = 117 + (6x+3)
( Subtract 117)
63 = (6x+3)
( Subtract 3)
60 = 6x
( Divide by 6)
10 = x
How do you find an equation for the line tangent to the graph of x²+y²=25 at point (3,4)?
Answer:
3x +4y = 25
Step-by-step explanation:
You want the equation of the tangent to the graph of x² +y² = 25 at the point (3, 4).
TangentThe given equation is that of a circle of radius 5 centered at the origin. For some point (x, y) on the circle, the radius to that point will have a slope of m = y/x. This means the tangent will have a slope of ...
-1/m = -1/(y/x) = -x/y
For the given point, the slope of the tangent is -3/4.
InterceptThe y-intercept in the slope-intercept form equation for a line is 'b'. We can solve for that ...
y = mx +b
b = y - mx
For (x, y) = (3, 4) and m = -3/4, the y-intercept is ...
b = 4 -(-3/4)·3 = 4 +9/4 = 25/4
Slope-intercept equationUsing the values of m and b we found, the slope-intercept form equation for the tangent is ...
y = -3/4x +25/4
Standard formIn standard form, the equation becomes ...
4y = -3x +25
3x +4y = 25
__
Additional comment
If you work through this process for point (a, b) on the circle of radius r centered at the origin, you find the equation of the tangent at that point is ...
ax +by = r²
If the center of the circle is at (h, k), then the equation will be the same thing translated to the new center:
(a -h)(x -h) +(b -k)(y -k) = r²
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A rectangle with an area of x2 – 4x – 12 square units is represented by the model. What side lengths should be used to model the rectangle? (x + 2) and (x – 6) (x + 6) and (x – 2) (x + 2) and (x – 10) (x + 10) and (x – 2)
Answer: (x+2) and (x-6) represents the side lengths.
Step-by-step explanation:
The area of the rectangle is \(x^{2} -4x -12\) so in this case to find the side lengths we need to factor out the area.
To factor \(x^{2} -4x-12\) We need to find two numbers that if we multiply together we will have -12 and if we add those two number we will get -4.
-6 and 2 works out
Because -6 * 2 = -12 and -6 +2 = -4
Now we will rewrite the area as
\(x^{2}\) +2x - 6x -12 Group them
(\(x^{2}\) +2x) (-6x -12) factor them
x (x +2) -6(x+2) factor out x+2
(x+2)(x-6) Done!
Answer: The correct answer is A (x+2)(x-6) on Edg 2020;)
Let abcdef be a convex hexagon. let a', b', c', d', e', f' be the centroids of triangles fab, abc, bcd, cde, def, efa, respectively.
(a) show that every pair of opposite sides in hexagon a'b'c'd'e'f' (namely a'b' and d'e', b'c' and e'f', and c'd' and f'a') are parallel and equal in length.
(b) show that triangles a'c'e' and b'd'f' have equal areas.
(a) shows that every pair of opposite sides in the hexagon a′b′c′d′e′f′ are parallel and equal in length. On the other hand, (b) demonstrates that the triangles a′c′e′ and b′d′f′ have equal areas.
(a) To show that every pair of opposite sides in hexagon a'b'c'd'e'f' are parallel and equal in length, we can use the fact that the centroids of triangles divide the medians into segments of equal length.
Let's consider a'b' and d'e'. The centroid of triangle fab, a', divides the median fb into two segments, a'f and a'b', such that a'f = 2/3 * fb. Similarly, the centroid of triangle def, e', divides the median de into two segments, e'd and e'f', such that e'd = 2/3 * de.
Since fb = de (opposite sides of hexagon abcdef), we have a'f = e'd. Now, we can consider the triangles a'f'd' and e'df'. By the properties of triangles, we know that if two sides of a triangle are equal, and the included angles are equal, then the triangles are congruent.
In this case, a'f' = e'd' (as shown above) and angle a'f'd' = angle e'df' (corresponding angles). Therefore, triangle a'f'd' is congruent to triangle e'df'.
By congruence, the corresponding sides a'd' and e'f' are equal in length.
By similar reasoning, we can show that b'c' and e'f', as well as c'd' and f'a', are parallel and equal in length.
(b) To show that triangles a'c'e' and b'd'f' have equal areas, we can use the fact that the area of a triangle is one-half the product of its base and height.
In triangle a'c'e', the base is c'e' and the height is the perpendicular distance from a' to c'e'. Similarly, in triangle b'd'f', the base is d'f' and the height is the perpendicular distance from b' to d'f'.
Since opposite sides in hexagon a'b'c'd'e'f' are parallel (as shown in part (a)), the perpendicular distance from a' to c'e' is equal to the perpendicular distance from b' to d'f'.
Therefore, the heights of triangles a'c'e' and b'd'f' are equal. Additionally, the bases c'e' and d'f' are equal (as shown in part (a)).
Using the area formula, area = 1/2 * base * height, we can see that the areas of triangles a'c'e' and b'd'f' are equal.
Hence, we have shown that triangles a'c'e' and b'd'f' have equal areas.
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does anyone wanna help me make this song on soundtrap?
Answer: .
Step-by-step explanation:
Answer:
yes i do
Step-by-step explanation:
− 3 x + 12 = x , then x =
Answer:
x=3
Step-by-step explanation:
-3x+12=x
12=x+3x
12=4x
x=12
4
x=3 hope it helpu
Below is the table of values of a function. Write the output when the input is n.
Answer:
when input = n, Output = 4n
Step-by-step explanation:
Output = k(input)
Where,
k = constant
Find k When output = 8 and input = 2
Output = k(input)
8 = k(2)
8 = 2k
k = 8/2
k = 4
Find k When output = 28 and input = 7
Output = k(input)
28 = k(7)
28 = 7k
k =28/7
k = 4
Find output when input = n
Output = k(input)
= 4(n)
= 4n
Output = 4n
when input = n, Output = 4n
Under the mapping w = z³, Find the image for 0
the image of 0 under the mapping w = z³ is also 0.
To find the image of 0 under the mapping w = z³, we substitute z = 0 into the equation:
w = (0)³
Simplifying this expression, we have:
w = 0
what is expression?
In mathematics, an expression refers to a combination of numbers, variables, and mathematical operations that are written in a specific format or notation. It can represent a mathematical calculation, a relationship, or a statement.
Expressions can be simple or complex, and they can involve various mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more. They can also include functions, constants, and variables.
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Write the equation of the line parallel to 3x - 4y = 18 that goes through
the point (8,-3)
Answer:
y=3/4x-9
Step-by-step explanation:
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
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KHAN ACADEMY! PLEASE HELP!
Answer:
60 degrees
Step-by-step explanation:
First find angle I by using the sum of the angles in a triangle is 180 degrees
59+61+I = 180
120 + I = 180
I = 180-120
I =60
<I = <x since they are corresponding angles
<x = 60 degrees
I am extremely confused. Please help. Any help would be greatly appreciated.
Answer:
T/V = P/(nR)
Step-by-step explanation:
You want to find T/V from the equation PV = nRT.
SolutionT is in the numerator of the ratio you want. V is on the other side of the equation from T, so you can put V in the denominator by dividing both sides of the equation by V:
\(P=\dfrac{nRT}{V}\)
Now, you can get the ratio T/V by itself by dividing by its coefficient:
\(\dfrac{P}{nR}=\dfrac{T}{V}\)
Swapping sides gives you the relation you want:
\(\boxed{\dfrac{T}{V}=\dfrac{P}{nR}}\)
__
Additional comment
Isolating variables and solving equations using the properties of equality should be familiar processes.
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Suppose you are holding stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the expected return? Please enter the answer as a percent with two decimal places for instance 55.55 for 55.55% Suppose you are holding a stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the standard deviation of return? Please enter a number (not a percentage). Please convert all percentages to numbers before calculating, then type in the number. Now type in 4 decimal places. The answer will be small. Suppose you are holding a stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the variance of return? Please enter a number (not a percentage). Please convert all percentages to numbers before calculating, then type in the number. Now type in 4 decimal places. The answer will be small.
The standard deviation of returns is 0.0665 when a person is holding stock and there are three possible outcomes.
To calculate the expected return, we multiply the probability of each state by its corresponding return and sum them up:
Expected return = (20% * 18%) + (55% * 9%) + (25% * -5%)
Expected return = 0.20 * 0.18 + 0.55 * 0.09 + 0.25 * (-0.05)
Expected return = 0.036 + 0.0495 - 0.0125
Expected return = 0.073
The expected return is 7.30%.
To calculate the standard deviation of returns, we need to find the variance first. The variance is calculated as the weighted sum of squared deviations from the expected return:
Variance = (20% * (18% - 7.30%)^2) + (55% * (9% - 7.30%)^2) + (25% * (-5% - 7.30%)^2)
Variance = 0.20 * (0.1077)^2 + 0.55 * (0.0177)^2 + 0.25 * (-0.123)^2
Variance = 0.00232 + 0.000173 + 0.001903
Variance = 0.004423
The standard deviation is the square root of the variance:
Standard deviation = √(0.004423)
Standard deviation = 0.0665
Therefore, the value obtained is 0.0665.
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