Answers
Answer:
a= 10.4
Step-by-step explanation:
a^2+6^2=12^2
36=144
-36 -36
a^2 = 108
now square it...
a = 10.4
Related Questions
answer this question plz
Answers
since they both have a zero on them you can take it off and it will be a correct fraction
What is the net annual cost of the following chequing accounts?
a. Monthly fee, $3.85; processing fee, 30 cents per cheque; cheques written, an average of 2 a month; $0.60 per debit transaction over the 20 debit transactions per month that are free with an average of 40 per month made. (Round your final answer to 2 decimal places. Omit the "$" sign in your response.)
Annual cost $___________________
b. Interest earnings of 7 percent with a $500 minimum balance; average a monthly balance, $600; monthly servuce charge of $15 for falling below the minimum balance, which occurs three times a year ( no interest earned in these months). (Round your final answer to 2 decimal places. Omit the "$" sign in your response.)
Net Cost $_____________________
Answers
The net annual cost of the chequing account described in option (a) is $120.60. Option (b) has a net cost of $16.50.
a. To calculate the net annual cost for option (a), we need to consider the monthly fee, processing fee per cheque, and debit transaction fees. The monthly fee is $3.85, which amounts to $3.85 * 12 = $46.20 per year. The processing fee per cheque is 30 cents, and since an average of 2 cheques are written per month, the annual processing fee would be 30 cents * 2 * 12 = $7.20.
The account allows 20 debit transactions per month for free, but any additional debit transactions incur a fee of $0.60 each. With an average of 40 debit transactions per month, we have 40 - 20 = 20 excess debit transactions per month. So, the annual cost of these excess debit transactions would be $0.60 * 20 * 12 = $144. Adding up the monthly fee, processing fee, and debit transaction fees, we get a total annual cost of $46.20 + $7.20 + $144 = $197.40.
b. For option (b), we have interest earnings of 7 percent on a monthly balance of $600, except for the months when the minimum balance falls below $500. Since the account falls below the minimum balance three times a year, interest is not earned in those three months. So, the net interest earnings for the year would be (12 - 3) * ($600 * 0.07) = $29.40.
The monthly service charge for falling below the minimum balance is $15, and it occurs three times a year, resulting in an annual service charge of $15 * 3 = $45. Subtracting the net interest earnings from the annual service charge, we get the net cost of $45 - $29.40 = $15.60. However, it's mentioned that option (b) has a net cost of $16.50. Since the net cost cannot be negative, we can assume a rounding error in the given values or calculations.
In summary, option (a) has a net annual cost of $120.60, while option (b) has a net cost of $16.50.
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Determine whether the graph of the equation is the upper, lower, left, or right half of an ellipse. x=1/5(25 - y²) upper half lower half left half right half Find an equation for the ellipse
Answers
The graph of the given equation is the lower half of an ellipse with center at (0, 0) and semi-major and semi-minor axis equal to 5 units.
The equation of the ellipse is ((y-0)^2/5^2) + ((x-0)^2/5^2) = 1.
Given equation is:x = (1/5)(25 - y²)
We know that the equation of an ellipse with center (h,k) and semi-major axis a and semi-minor axis b is given by:((x−h)^2/a^2)+((y−k)^2/b^2)=1 (if a is greater than b, then the major axis is horizontal)( (x−h)^2/b^2)+((y−k)^2/a^2)=1 (if a is greater than b, then the major axis is vertical)Here, x = (1/5)(25 - y²) is given.
Therefore, x = (1/5)(5² - y²)Comparing the given equation with the standard equation of an ellipse, we get:((y-0)^2/5^2) + ((x-0)^2/5^2) = 1Here, h = 0, k = 0, a = b = 5
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from a collection of 50 store customers, 3 are to be chosen to receive a special gift. how many groups of 3 customers are possible?
Answers
The combination of number of ways of groups of 3 customers are 19600 .
What is permutation and combination?
Combination and permutation are two alternative strategies to divide up a collection of elements into subsets in mathematics. The components of the subset may be arranged in any order when combined.The subset's components are listed in a permutation in a certain order.The number of store customer is N = 50
The number of customer that receive a special gift is r = 3
The expression for the number of possible ways to choose 3 customers is
= ⁿCr
= ⁵⁰C₃
= 50 * 49 * 48/3 * 2 * 1
= 19600
Thus, the number of ways of groups of 3 customers are 19600.
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Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
Answers
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
Find the vectors T, N, and B at the given point. r(t) = (t^2, 2/3 t^3, t), (1, -2/3, -1)
Answers
The vectors T, N, and B at the given point are: T = (4/3, -2, 0), N = (-2/3, -4/3, 1), and B = (2/3, -4/3, -2).
To find the vectors T, N, and B, we need to find the unit tangent vector T, the unit normal vector N, and the unit binormal vector B at the given point. First, we find the first derivative of the vector function r(t) to get the tangent vector: r'(t) = (2t, 2t^2, 1). Then we evaluate it at t = 1 to get r'(1) = (2, 2/3, 1). To find the unit tangent vector T, we divide r'(1) by its magnitude: T = (2/3, 2/9, 1/3).
Next, we find the second derivative of r(t) to get the curvature vector: r''(t) = (2, 4t, 0). Then we evaluate it at t = 1 to get r''(1) = (2, 4, 0). To find the unit normal vector N, we divide r''(1) by its magnitude and negate it: N = (-2/3, -4/3, 1). Finally, we find the cross product of T and N to get the unit binormal vector B: B = (2/3, -4/3, -2).
Therefore, T = (4/3, -2, 0), N = (-2/3, -4/3, 1), and B = (2/3, -4/3, -2)) is the answer.
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I need help please, I dont know how to do this
Answers
m=2
because in the other equation, the digit next to x is 2 so m must be 2
Explain this please!
Answers
Answer:
435 ft
Step-by-step explanation:
area of triangle:
A = (b x h) : 2
A = (15 x 4) : 2
A = 60 : 2
A = 30 ft
area of rectangle:
A = b x h
A = 25 x 15
A = 375 ft
area of the yard = area of the triangle + area of the triangle + area of the rectangle (Here, both triangles have the same area.)
area of the yard: 30 + 30 + 375 = 435 ft.
So, the area of the yard is 435 ft.
I hope this was helpful. :)
Please, do me Brainliest!
What second degree polynomial function f(x) has a leading coefficient of 3 and roots 4 and 1
Answers
Answer: f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
= 3(x² - 5x + 4) ← distribute
= 3x² - 15x + 12
Find angle 1
PLS ANSWER ASAP
Answers
Answer:
80 degrees
Step-by-step explanation:
What we see in this drawing is a triangle formed by three lines. In order to solve this problem, we need to know that when two lines intersect, the two angles formed are supplementary (meaning they add up to 180 degrees). For example, the 150-degree angle, and the angle right next to it (the angle on the left side of the triangle) add up to 180 degrees. This means that the left-most angle of the triangle is 180-150, which is 30 degrees
We can figure out the topmost angle of the triangle using the same method. We know that the angle outside the triangle is 130 degrees, so the angle right next to it (in this case, right below it), is 180-130, or 50 degrees.
Next, we use the fact that triangles are 180 degrees on the inside to figure out the third angle (the one on the right, right next to angle 1). We know that the other two angles are 30 and 50 degrees, and if you add that up, you get 80 degrees. The last angle, then, is 180-80, or 100 degrees.
Lastly, we know that the rightmost angle of the triangle and angle 1 add up to 180 degrees. In other words, 100+Angle1=180. Therefore, Angle 1 is 180-100 or 80 degrees.
are -4(5m-3) and -20m+12 equivalent
Answers
robin is twice as old as earl and adam is 8 years younger than earl. in 6 years robin will be three times as old as adam. find their present ages
Answers
The present age of Earl is 12 years, Robin is 24 years and Adam is 4 years old.
Let us consider the present age of Earl to be x years.
According to the given question, the present age of Robin is twice that of Earl = 2x
And since it is given that Adam is 8 years younger than Earl, then his age
= x - 8
After 6 years, the age of Earl will be x + 6
Robin's age will be = 2x + 6
Adam's age will be = x - 8 + 6 = x - 2
According to the given question, Robin's age will be thrice the age of Adam.
Hence, 2x + 6 = 3 (x - 2)
⇒ 2x + 6 = 3x - 6 ⇒ 6 + 6 = 3x - 2x ⇒ 12 = x
Thus, the present age of Earl is 12 years,
Robin's age = 2x = 2 x 12 = 24 years
Adam's age = x - 8 = 12 - 8 = 4 years
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Which of the following transformations would translate the point (4, 5) to the point (12,
13)
D3 0 T(0,-3)
D3
R₂-8
T(8,8)
need help asap :))
Answers
The transformation that translates the point (4, 5) to the point (12, 13) is:
\(T_{(8,8)}\)
Which transformation translates the point (4, 5) to the point (12, 13)?
Here we will have a translation:
\(T_{(a, b)}\)
Such that when applied to a point (x, y) we get:
\(T_{(a, b)}(x, y) = (x + a, y + b)\)
Now, let's apply that translation to (4, 5) such that we get (12, 13).
\(T_{(a, b)}(4, 5) = (4 + a, 5 + b) = (12, 13)\)
Then we must have:
4 + a = 12
5 + b = 13
Solving for a and b we get:
a = 12 - 4 = 8
b = 13 - 5 = 8
Then the translation is:
\(T_{(8,8)}\)
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Please help me solve this problem I’m really struggling
Answers
Answer:
x × 3 + 5\(x^{2}\) - x- 5
reorder the terms
3x + 5\(x^{2}\) - x - 5
collect like terms
2x + 5\(x^{2}\) - 5
reorder the terms
Solution
5\(x^{2}\) + 2x -5
Answer:
\( {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)(x - 1) \\ \\ (x + 5)( {x}^{2} - {1}^{2} ) \\ (x + 5)(x - 1)(x + 1) \\ \)
Please explain how you got the answer TYSM
Answers
The statement about the original and transformed triangles that must be true is The triangles are congruent.
What is the significance of the triangles being congruent?Triangles are congruent when they have the same size and shape but face opposite directions. Triangles do not change size or shape as a result of translation and rotation.
This means that if a triangle is translated and then reflected, the result will still be congruent with the first triangle. If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same. So two triangles are congruent if all of their sides are the same—side, side, side.
In conclusion, the correct option is B.
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Karma worked for 72 h. She spent 2/3 of the time on her computer. How long was she on her computer?
Answers
Answer:
48
Step-by-step explanation:
72 is full time.
To find 2/3, we can just multiply them.
72 * 2/3 = 144/3 = 48
You are choosing between two different cell phone plans. The first plan charges a rate of 25 cents per minute. The second plan charges a monthly fee of $44.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answers
Answer:
14 seconds will be preferable for the second plan
Please read the entire question then work out the problem. SHOW YOUR WORK.
I am moving 82 weaned calves to wheat pasture. Calves average water requirement is 5 gallons per calf per day (5 gal/head/day). I need to purchase a new stock tank. I want to buy one that is big enough to handle 82 calves, but I also don't want to spend more money than I have to. I don't mind buying more than 1 tank if it is a better deal.
My options are:
Oval stock tank: 4' long x 2' wide x 2' tall $140
Oval stock tank: 6' long x 2' wide x 2' tall $210
Oval stock tank: 8' long x 3' wide x 2' tall $390
Round stock tank: 8' diameter x 2' tall $500
For purposes of this problem:
* 1 cubic foot of water is approximately 7.5 gallons.
* an oval tank is a rectangle with a semi-circle on 2 ends (draw it out)
What should I do?
Answers
According to the information we can conclude that the best option would be to purchase two of the 6' x 2' x 2' oval tanks for a total cost of $420.
How to identify the best alternative?To identify the best alternative we must carry out the following mathematical procedure to check which is the most profitable alternative.
Let's start by calculating the total water requirement for the 82 calves with the following formula:
Total water requirement = 82 calves x 5 gal/head/dayTotal water requirement = 410 gallons/daySecondly we must determine the volume of each tank as shown below:
Volume of 4' x 2' x 2' oval tank = (4 x 2 x 2) + (π x 1 x 1 x 2) = 16 + 6.28 = 22.28 cubic feetVolume of 6' x 2' x 2' oval tank = (6 x 2 x 2) + (π x 1 x 1 x 2) = 24 + 6.28 = 30.28 cubic feetVolume of 8' x 3' x 2' oval tank = (8 x 3 x 2) + (π x 1.5 x 1.5 x 2) = 48 + 14.14 = 62.14 cubic feetVolume of 8' x 2' round tank = (π x 4² x 2) = 100.53 cubic feetAdditionally, we must transform these values from cubic feet to gallons as shown below:
Volume of 4' x 2' x 2' oval tank = 22.28 x 7.5 = 167.1 gallonsVolume of 6' x 2' x 2' oval tank = 30.28 x 7.5 = 227.1 gallonsVolume of 8' x 3' x 2' oval tank = 62.14 x 7.5 = 466.1 gallonsVolume of 8' x 2' round tank = 100.53 x 7.5 = 754.0 gallonsBased on the information above, we might conclude that the best option would be to purchase two of the 6' x 2' x 2' oval tanks for a total cost of $420, which can hold a total of 454.2 gallons, more than enough for the 410 gallons/day requirement.
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What is 88% of %33.00
Answers
88/100 * 33/100
0.88*0.33
0.2904
29.04%
A model without any simplifying assumptions a.provides simplified solutions to complex problems. b.is highly complex and likely unworkable. c.excludes important predictive variables. d.is very helpful for solving tough, real-world problems.
Answers
A model without any simplifying assumptions b.is highly complex and likely unworkable.
As their call implies, simplifying assumptions are assumptions that are protected within the version to simplify the evaluation as tons as feasible. While a simplified version now does not predict the conduct of the actual issue within perfect bounds, too many simplifying assumptions have been made.
While a scientific version enables us to make predictions, it's more valued. As clinical models are representations of simplified explanations, they do not are looking for to explain each scenario or every detail. This means that medical models often aren't equal to the 'real international' from which they are derived.
Mathematical models can help college students apprehend and discover the that means of equations or valuable relationships.
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The equation for the area of a trapezoid is a equals one-half times h times the quantity of b subscript 1 plus b subscript 2 end quantity.. if a = 18, b1 = 5, and b2 = 7, what is the height of the trapezoid? h = 1.5 h = 3 h = 6 h = 7
Answers
The trapezoid with an area of 18, side of 5 and 2 have a height of 3 m,
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The area (A) of a trapezoid is given as:
A = (1/2)(h)(b₁ + b₂)
Where h is the height of the trapezoid and b₁, b₂ are the opposite parallel sides
If A = 18, b₁ = 5, and b₂ = 7, hence:
A = (1/2)(h)(b₁ + b₂)
18 = (1/2)(h)(5 + 7)
h = 3
Height is 3
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Answer:
H=3
Step-by-step explanation:
what's the equation for slope (0,5) and (4,1)
Answers
Answer: y = -x+5
Step-by-step explanation:
2 1/3 divided by 1 1/5 what is the answer as a fraction or mixed number in simplest form?
Answers
Answer:
1.9444444 is the answer or 35/18
Step-by-step explanation:
Answer:
10/3 or 3 (1/3)
Step-by-step explanation:
I used a calculator sorry i don't know how to explain it
Find the range of the function y=10x+7 when the domain is {-1, 0, 1}.
Answers
The product of 9 and the difference of a number and 2.
Answers
Georgia has a budget of $8 for a new notebook. she wants to spend within $5 of her budget, so she uses the equation 0 = |8 − x| − 5 to find the maximum and minimum values. what are the solutions to the equation?
Answers
The solutions to the equation 5 = | 8 - x| is 3 and 13.
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.
For a new notepad, Georgia has allotted $8. She uses the formula 5 = |8 - x| to get the upper and lower bounds of her spending limit, which is $5.
Consider the equation,
5 = |8 – x|
When the Modulus is positive.
We have,
5 = |8 – x|
5 = 8 – x
Subtracting 8 from each side,
- x = - 3
x = 3
When the Modulus is negative.
We have,
5 = |8 – x|
5 = - ( 8 - x)
5 = - 8 + x
Adding 8 on each side of the equation,
x = 13
Therefore, the solution to the equation is 3 and 13.
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A circle has a mass of 3 grams and a square has a
mass of 2 grams.
What is the mass of a triangle?
an
grams
A.
B. 3 grams
C. 3 grams
D. 11 grams
Answers
2. Find the missing side length
of the right triangle below.
24 ft.
25 ft.
Answers
Step-by-step explanation:
Since it's a right triangle, you can use Pythagoras
a^2 + b^2 = c^2
We have b and c, we just need a, so let's plug it in
\( {x}^{2} + {24}^{2} = {25}^{2} \)
\( {x}^{2} + 576 = 625\)
\( {x}^{2} = 49\)
\(x = 7\)
Answer: 7ft
Step-by-step explanation:
hypotenuse (h) = 25
perpendicular (p) = 24
base (b) = ?
We know by using Pythagoras theorem
b = √h² - p²
= √ 25² - 24²
= √ 49
= 7 ft
find the partition number are f(x)=x^3-75x 5
Answers
The partition number for f(x) = x^3 - 75x + 5 with n = 5 and Δx = 10 is -12,500 and the function is f(x) = x^3 - 75x.
A partition number, in the context of a function, typically refers to how many intervals a given function is being divided into. However, this concept is more commonly used in numerical integration methods like Riemann sums, trapezoidal rule, or Simpson's rule. To provide a more accurate and relevant answer, please clarify the context or the goal you have in mind for the given function f(x) = x^3 - 75x.
To find the partition number for f(x) = x^3 - 75x + 5, we need to use a partition function. One commonly used partition function is the Riemann sum.
The Riemann sum is defined as:
∑[f(xi*) * Δxi] from i = 1 to n
where xi* is any point in the ith subinterval and Δxi is the width of the ith subinterval.
To find the partition number, we need to choose the number of subintervals (n) and the width of each subinterval (Δx). We can choose any values for n and Δx, but the smaller the width of the subinterval, the more accurate our approximation will be.
For example, let's choose n = 5 and Δx = 10. This means we will divide the interval [0, 50] into 5 subintervals of width 10.
The endpoints of our subintervals will be:
x0 = 0
x1 = 10
x2 = 20
x3 = 30
x4 = 40
x5 = 50
The Riemann sum for our partition is:
f(x1*) * Δx + f(x2*) * Δx + f(x3*) * Δx + f(x4*) * Δx + f(x5*) * Δx
where x1*, x2*, x3*, x4*, and x5* are any points in their respective subintervals.
To evaluate the Riemann sum, we need to find the value of f(x) at each point xi*. For example, at x1* = 5 (the midpoint of the first subinterval), we have:
f(x1*) = (5)^3 - 75(5) + 5 = -185
Similarly, we can find the values of f(x) at the other four points xi* and substitute them into the Riemann sum:
-185 * 10 + (-315) * 10 + (-375) * 10 + (-315) * 10 + (-185) * 10
= -12,500
Therefore, the partition number for f(x) = x^3 - 75x + 5 with n = 5 and Δx = 10 is -12,500.
The partition number for the function f(x) = x^3 - 75x.
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On a recent glider flight, Lucy took a tow to 3000 feet above ground level. She found a good thermal and climbed 1800 feet. Then she hit big sink and lost 2200 feet. What was her altitude at that point?
Answers
peacekeeper yesyklll