Answers
Answer:
x=16
Step-by-step explanation:
use the Pythagorean theorem.
\(\sqrt{a^{2}+b^2 \\)= \(c^{2}\) Another way, you can do the problem is that you can see
\(\sqrt{12^2+b^2\)= \(20^{2}\) that 12 divided by 4 is 3 and 20 divided by 4 is 5, which is
144+b^2=400 the two numbers from the special 3,4,5 triangle, and since
-144 -144 you have figured that much out, you can multiply 4*4 and
------------------------ get 16.
b^2=256
\(\sqrt{256\\}\) = 16
Related Questions
How many square inches are in 60 square feet
Answers
Answer:
8640
Step-by-step explanation:
What is the area under the normal curve below the z- score of 1?
Answers
Answer:
One way is to realize that since the total area is 1, the area below z = 1 is equal to 1 minus the area above z= 1 which we know from before is 0.1587. So the area below 1 is 1 - 0.1587 = 0.8413.
On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000
Answers
Accoding to the calculations , the correct answer is:
A) Depreciation charge 16,000; revaluation surplus £20,000
According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.
In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).
To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:
£400,000 / 25 = £16,000
Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.
Now, let's calculate the balance on the revaluation surplus as at that date.
The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).
Revaluation surplus = Fair value - Carrying amount
Revaluation surplus = £500,000 - £480,000
Revaluation surplus = £20,000
Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.
Based on the calculations above, the correct answer is:
A) Depreciation charge £16,000; revaluation surplus £20,000
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please use the answer in the attached picture to write down the co-ordinate of the turning point of x^2-5x+4
Answers
Solution
By general rule w ehave this property:
\((x-a)^2=x^2-2ax+a^2\)Using this expression we can do the following:
\((x-\frac{5}{2})^2-\frac{9}{4}=(x\cdot x^{}-2\cdot x\cdot\frac{5}{2}+\frac{5}{2}\cdot\frac{5}{2})-\frac{9}{4}=x^2-5x+\frac{25}{4}-\frac{9}{4}=x^2-5x+\frac{16}{4}=x^2-5x+4=(x-1)(x-4)\)Then the final simplfied form is:
(x-1)(x-4)
Then we can find the turning point like this:
\(x=-\frac{b}{2a}=-\frac{-5}{2\cdot1}=\frac{5}{2}\)And the corresponding y coordinate is:
\((\frac{5}{2}-\frac{5}{2})^2-\frac{9}{4}=-\frac{9}{4}\)Final answer:
\((\frac{5}{2},-\frac{9}{4})\)what is 2plus2minus2minusplus2plus2 you get one hundred points and brainliest so you get more points.
the answer is 4 just don't want the points.
Answers
Answer:
2 + 2 = 4 - 2 = 2 - 2 = 0 + 2 = 2 + 2 = 4
tanks :D
Answer:
4
Step-by-step explanation:
HELP PLEASE PLEASE PLEASE
Answers
Answer:
The Answer is $0.17
Step-by-step explanation:
1) Divide the amount of money always first
so divide 4.99 to 30
2)you would get 0.166333333333
3) Now Round $0.17
4) That means its B.) $0.17 ounces
Awnser:
c.) $6.01
Step-by-step explanation:
30 divided by 4.99 is 6.0120240481 but we need to round because money does not go that far. So we end up with 6.01
Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Answers
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
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What is the measure of missing angle indicated?
Answers
Answer:
∠ MLK = 34°
Step-by-step explanation:
The tangent- secant angle MLK is half the difference of the measures of the intercepted arcs, that is
∠ MLK = \(\frac{1}{2}\) (129 - 61)° = 0.5 × 68° = 34°
pLEASE SOLVE THE QUESTIONS (WILL MARK BRANLIEST)
Answers
Answer:
a) 4⁻³ = 1/64 = 0.015625
b)13⁻² = 1/169 = 0.0059171598
c)(-3)⁻² = 1/-3² = 0.1111111111
Step-by-step explanation:
To solve the question above, when we have an integer ( positive or negative) that is raised to a negative power, this means the reciprocal of that integer raised to the positive power
Example:
a⁻ⁿ = 1/aⁿ
a) 4⁻³ = 1/4³
= 1/(4 × 4 × 4)
= 1/64
= 0.015625
b) 13⁻² = 1/13²
= 1/(13 × 13)
= 1/169
= 0.0059171598
c)(-3)⁻² = 1/-3²
= 1/(-3 × -3)
= 1/9
= 0.1111111111
You may need to use the appropriate appendix table or technology to answer this question.
A population has a mean of 800 and a standard deviation of 200. Suppose a sample of size 400 is selected and
x
is used to estimate μ. (Round your answers to four decimal places.)
(a)____
What is the probability that the sample mean will be within ±5 of the population mean?
(b)___
What is the probability that the sample mean will be within ±10 of the population mean?
Answers
a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.
(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.
The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
= 200 / √400
= 200 / 20
= 10
To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:
For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.
For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.
We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.
(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).
The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.
Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).
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If x is a nontrivial solution of Ax=0, then every entry in x is nonzero. T/F?
Answers
The statement "If x is a nontrivial solution of Ax=0, then every entry in x is nonzero" is False.
A nontrivial solution means that there is at least one nonzero entry in x. However, it doesn't imply that every entry in x must be nonzero. It's possible to have a mixture of nonzero and zero entries in a nontrivial solution.
If x is a nontrivial solution of Ax=0, it means that x is a nonzero vector in the null space of A. This implies that A x = 0, which means that the linear combination of the columns of A given by x results in the zero vector.
However, this does not necessarily mean that every entry in x is nonzero. For example, consider the matrix A given by:
A = [1 0 1;
0 1 1;
1 1 2]
The null space of A contains the vector x = [-1; 1; 1], which is a nontrivial solution of Ax = 0. However, this vector has one entry that is zero and two entries that are nonzero.
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Determine whether the two triangles below are congruent or not. Be sure to explain your reasoning. YES because________________ or NO because______________.
Answers
Answer: yes because you can divide each side of the bigger triangle by. 2 to get the little triangle
Step-by-step explanation:
(Wx24) - (2,400 divided by 80) =1,602
What does w equal?
Answers
The value of w in the equation (Wx24) - (2,400 divided by 80) =1,602 is 68
Evaluating the value of w in the equationFrom the question, we have the following parameters that can be used in our computation:
(Wx24) - (2,400 divided by 80) =1,602
Evaluate the brackets
So, we have
(Wx24) - 30 =1,602
Next, we evaluate the like terms
(Wx24) =1,632
Divide by 24
W = 68
Hence, the value of W is 68
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3)In the figure below
segments PM and AD are medians.
What is the length of segment AD?
A. 22.5
B. 10
C. 9
D. 7
Answers
Answer:
i think they are similar figures therefore AD/PM=AC/PR,16/24=x/15,AD=22.5
Write a recursive formula for the arithmetic sequence:
7,4,1,-2
Answers
a(sub)n = a(sub)n-1 - 3
(sub) indicates the values touching the parenthesis are written as a subscript.
The above would be the recursive formula as you are taking the previous number and subtracting 3 to get the next number in the sequence.
Answer:
N - 3
Step-by-step explanation:
It is a series of -3 so:
7 -3 = 4
4 - 3 = 1
1 - 3 = -2
So:
N-3
where N is the present value in the sequence.
Did I graph this equation right?
Equation: P=125+50w
Answers
Answer:
yes
Step-by-step explanation:
You want a graph of P = 125 +50W.
Slope-intercept formThe given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.
Axes assignmentsUsually, the independent variable is graphed on the horizontal axis, which you have done.
The dependent variable is graphed on the vertical axis, which you have done.
The axes are correctly labeled and graduated.
InterceptThe "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.
SlopeThe slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.
Yes, you properly graphed the equation.
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Brand X costs $1.56 for 12 ounces. Brand Y costs 2¢ more per ounce. What is the cost of 15 ounces of Brand Y?
Answers
Answer:
ok so if its 12 ounces that means that y cost 24 more so
1.80 then it goes up by 3 ounces to 15
3*2=6
1.80+0.06=
1.86
Hope This Helps!!!
Solve for c law of sines
Answers
Answer:
c/sin(60°) = 14/sin(25°)
c = 14sin(60°)/sin(25°) = 28.7
Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions. 2 < r < 5, 11/6 ≤ ≤ 13/6
Answers
The region we are interested in is the part of the annular region between the two circles that lies within the sector between the two rays.
To sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions, we first need to understand what the conditions mean in terms of polar coordinates.
In polar coordinates, a point in the plane is represented by an ordered pair (r, θ), where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line segment connecting the origin to the point.
The condition 2 < r < 5 means that the distance from the origin to the point is between 2 and 5 units. The condition 11/6 ≤ θ ≤ 13/6 means that the angle between the positive x-axis and the line segment connecting the origin to the point is between 11/6 and 13/6 of a full rotation (i.e., between 330° and 390°).
To sketch the region, we start by drawing the polar axis (the positive x-axis) and the origin. Then, we draw two concentric circles centered at the origin with radii of 2 and 5 units, respectively. Next, we draw two rays emanating from the origin and making angles of 11/6 and 13/6 of a full rotation, respectively, with the positive x-axis. These rays divide the region between the two circles into two parts, one with angles between 11/6 and 13/6, and one with angles between 0 and 11/6 or between 13/6 and 2π.
The region we are interested in is the part of the annular region between the two circles that lies within the sector between the two rays.
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The product of two rational numbers can always be written as
an irrational number.
a whole number.
an integer
a fraction.
Answers
Answer:
D
Step-by-step explanation:
Because I said so
The product of two rational numbers can always be written as a fraction.
A rational number is a number that can be written as the quotient of two integer numbers.
Then if we have two rational numbers:
\(a = \frac{x}{y} \\\\b = \frac{z}{w}\)
The product can be written as:
\(a*b = \frac{x}{y}*\frac{z}{w} = \frac{x*z}{y*w}\)
Thus, the product of two rational numbers can always be written as a fraction.
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#2 i
For which values of b will the area of the shaded region be greater than or equal to 12 square units?
b
Answers
Answer:
E. 9, F. 10
Step-by-step explanation:
Area of the rectangle: 3b
Area of the white triangle: 3b/3
Area of shaded region: 3b/2
3b/2 > 12
3b > 24
b > 8
Answer: E. 9, F. 10
In the number 1,846, the ___ is in the tens place and the ___ is in the hundreds place
Answers
There are 144 total members at the meeting witch is 90%
Answers
if you divide 144 by 10, you get 14.4 and then multiply that by 9 to get 129.6
hope this helps:)
brainliest?
How To Find The Range Of A Function Algebraically
Answers
To find The Range Of A Function Algebraically follow followings steps.
Writing y=f(x) and solving for x gives the form x=g(y). Once we find the domain of g(y), this becomes the domain of f(x). Note:
If there is a particular x-value that cannot be in the domain, the corresponding y-value must not be in the domain!
If you can't solve for x, try graphing the function to find the bounds.
In math, a function represents a defined relationship between an independent variable (x) and a dependent variable (y).
The range of a function refers to all the possible values y could be.
The formula to find the range of a function is y = f(x). In a relation, it is only a function if every x value corresponds to only one y value.
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If no mechanical energy were lost, a skateboarder descending a straight 40 meter slope would arrive at its foot with speed of 15 m/s.Calculate the angle the slope makes with the horizontal
Answers
Answer:
Answer
Step-by-step explanation:
Step-by-step explanation
someone please help me with this question
Answers
Answer:
your answer would be 9
Step-by-step explanation:
please mark this as brainlists
Answer:
9
Step-by-step explanation:
Because you do subtract 3 on both sides then divide 5x by 5 and 45 by 5
Approximate the value of (square root)17 to the nearest tenth.
Answers
Answer:
4.1
Step-by-step explanation:
√17= 4.12310562561
the nearest tenth is 4.1
Answer:
4.1
Step-by-step explanation:
√17
4.1 (to nearest tenth)
\((\frac{1}{3} \sqrt[3]{2.3^{2} })^{5} +\sqrt{\frac{2}{3} }\sqrt{\frac{9}{8\\} }\)
Answers
Answer:
\(0.93211806\)
Step-by-step explanation:
\((\frac{1}{3} \sqrt[3]{2.3^{2} })^{5} +\sqrt{\frac{2}{3} }\sqrt{\frac{9}{8\\} }=\)
\(=(\frac{1}{3} \sqrt[3]{5.29})^{5} +\sqrt{\frac{18}{24} }}\)
\(=(\frac{1}{3} \times 1.74241616)^{5} +\sqrt{\frac{3}{4} }}\)
\(=(0.58080539)^{5} +0.86602540\)
\(=0.06609265 +0.86602540\)
\(=0.93211806\)
what error did the student make?? PLEASE HELP ME
Answers
Answer:
He did an error because he multiplied equation 2 wrongly.
The correct multiplication should have been:
-6x + 9y = 6 Multiply equation by 2 by 3
Step-by-step explanation:
Given the system of equations
3x-5y=4
-2x+3y=2
This is what student solved
6x - 10y = 8 Multiply equation 1 by 2
-6x + 3y = 6 Multiply equation by 2 by 3
_________
-7y = 14
y = -2
He did an error because he multiplied the equation 2 wrongly.
The correct multiplication should have been:
-6x + 9y = 6 Multiply equation by 2 by 3
NOW, HERE IS THE CORRECT VERSION
6x - 10y = 8 Multiply equation 1 by 2
-6x + 6y = 6 Multiply equation by 2 by 3
_________
-4y = 14
y = -2/7
The sum of the reciprocals of two consecutive odd integers is 12/35. Find the two integers.
Answers
The two consecutive odd integers are 9 and 11. 1/8 plus 1/11 equals 12/35.
The sum of the reciprocals of two consecutive odd integers is 12/35.
1/x + 1/(x+2) = 12/35
(x+2)/(x*35) + (x/35) = 12/35
x + 2 + x = 12
2x = 10
x = 5
5 and 7 are the next two odd numbers.
The sum of the reciprocals of two consecutive odd integers is 12/35. To find the two integers, we need to solve for x. Since the two integers are consecutive and odd, the equation
1/x + 1/(x+2) = 12/35
can be used to find x. We can then multiply both sides of the equation by x*35 and simplify it to (x+2)/(x*35) + (x/35) = 12/35.
By subtracting x/35 from both sides and then adding 2 to both sides, we can get the equation
x + 2 + x = 12.
By solving the equation 2x = 10, we find that x = 5. This means that the two consecutive odd integers are 5 and 7. This can also be verified by checking that 1/5 + 1/7 is equal to 12/35.
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