1. Two sides of a right triangle are 8 and 12 in. a. Find the missing side if these are the lengths of the legs.
Answers
Answer:
14.42
Step-by-step explanation:
Pythagorean theorem
Related Questions
Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
Answers
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
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Someone help me plssssssssssss I’m taking a test
Answers
A student is graduating from college in six months but will need a loan in the amount of $2,560 for the last semester. the student receives an unsubsidized stafford loan with an interest rate of 6.8%, compounded monthly. what is the balance of the unsubsidized loan at the time of graduation?
Answers
The balance of the unsubsidized loan at the time of graduation is $3,691.10.
Given:
Principal amount = $2,560
Interest rate = 6.8% = 0.068
Time period = 6 months
We can use the formula for compound interest to calculate the future value:
\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)
Substituting the value back into the formula as
Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)
= \($2,560 (1 + 0.00566667)^{(72)\)
= \($2,560 (1.00566667)^{(72)\)
= $2,560 * 1.44044291
= $3,691.10
Therefore, the balance is $3,691.10.
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(1 point) Determine whether each first-order differential equation is separable, linear, both, or neither.
1. dy/dx + exy = x2y2
2. y+ ex *sinx = x3 y'
3. ln x - x2y = xy'
4. dy/dx + cos y = tan x
Expert
Answers
Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.
The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.
The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.
The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.
The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.
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Need help with this.
Answers
The domain at which the function is decreasing is (-∞, -5).
We have,
From the graph,
We see that there are two parts to the function:
Increasing and decreasing part.
Now,
The y-values are the function and the x-values are the domains.
So,
The function is decreasing from -∞ to x = -5 and increasing from x = -5 to ∞.
Thus,
The domain at which the function is decreasing is (-∞, -5).
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an ocean depth finder shows the number of feet in the depth of water at a certain place. the difference between d, the actual depth of the water, and the depth finder reading, x, is id - xi and must be less than or equal to 5% of the actual depth. if the depth finder reading is 620 feet, what is the greatest number of feet of the actual depth of the water?
Answers
The greatest actual depth of the water is approximately 590 feet, given that the depth finder reading is 620 feet and the difference between the actual depth and the reading must be within 5% of the actual depth.
Let d be the actual depth of the water, and x be the depth finder reading. According to the problem, the difference between the actual depth and the depth finder reading must be less than or equal to 5% of the actual depth. This can be expressed as:
|d - x| ≤ 0.05d
Simplifying this inequality, we get:
-0.05d ≤ d - x ≤ 0.05d
Adding x to both sides of the inequality, we get:
x - 0.05d ≤ d ≤ x + 0.05d
We are given that x = 620 feet, so we can substitute this value into the inequality:
620 - 0.05d ≤ d ≤ 620 + 0.05d
Simplifying this inequality, we get:
0.95d ≤ 620 ≤ 1.05d
Dividing both sides of the inequality by 1.05, we get:
0.90476d ≤ 590.476 ≤ d
Therefore, the greatest number of feet of the actual depth of the water is approximately 590 feet.
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Sara says,"If you subtract 18 from my number and multiply the difference by -7, the result is -28." What is Sara's number?
Answers
Answer:
22
Step-by-step explanation:
3
The table below shows the number of teachers with different hair colors at a school.
Hair Color
Number of Teachers
Red
3
Brown
12
Black
16
Gray
8
Blonde
20
Use the drop-down menu to correctly complete the statement:
For every
6
teachers with blonde hair, there are
4
V
teachers with brown hair.
Hint(s)
1/1
Answers
Answer:
where is the table
Step-by-step explanation:
please make the statement clear instead of copy and pasting the question so we can answer the question correctly
b. Find, the time complexity of subsequent recurrence relation, using the substitution method. T(n)={ 1
4T(n−1)+logn
n=0
n>0
Answers
The recurrence relation is:
T(n) = 1 for
n=0
T(n) = 4T(n-1) + logn for n>0
Let us assume that the time complexity is O(nk).
Then we have:
T(n) = 4T(n-1) + logn≤ 4(n-1)k + log n≤ 4nk - 4k + log n
We would like to find the value of k for which this inequality holds.
T(n) ≤ 4nk - 4k + log n
We can use induction to prove that
T(n) = O(nlog n)
T(n) ≤ 4(n-1)log(n-1) + log n≤ 4nlogn - 4log(n-1) + log n= 4nlogn - 4logn + O(log n)≤ 4nlogn
This confirms that T(n) = O(nlog n)
Answer:T(n) = O(nlog n).
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A triangle was translated 4 units down.
In the graph, which figure is the pre-image and which figure is the image?
A. TriangleFGH is the image and TriangleABC is the pre-image
B. TriangleFGH is the pre-image and TriangleABC is the image.
C. Both triangles are images.
D. The image cannot be determined from the graph.
Answers
Answer:
It's B; TriangleFGH is the pre-image and TriangleABC is the image.
According to the fundamental theorem of algebra, how many zeros does the function f(x) = 5x - 9 have?
Answers
The algebraic fundamental theorem states that there are 12 zeros in the function f(x) = 15x12 + 41x9 + 13x2 10.
What is fundamental theorem?Theorem that connects the ideas of differentiating a function (calculating the gradient) and integrating a function is known as the fundamental theorem of calculus (calculating the area under the curve). With the exception of a constant value that depends on where one starts to compute area, the two procedures are inverses of one another.One of the antiderivatives (also known as an indefinite integral), let's say F, of some function f, may be derived as the integral of f with a variable bound of integration, according to the first section of the theorem, which is frequently referred to as the first fundamental theorem of calculus. This indicates that continuous function antiderivatives existacc to our question-
The degree that we need to identify in a polynomial is the largest exponent used in the equation. In this case, 15x¹², has the largest exponent. It is the degree of n used to determine the number of zeros.Thus, n = 12 so number of zero is also 12.hence,there are 12 zeros
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Round all money answers to nearest
Fill in the steps to find the answer.
1. The simple interest on $750 borrowed
for 3 years at an interest rate of 15%.
22
Answers
Answer:
S.I=$3375
Step-by-step explanation:
S.I=PRT/100
S.I=750×15×3/100
S.I=33750/10
S.I=$3375
Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right
Answers
So the interior angle would still be 135
a function having no critical points in a region r cannot have a global maximum in the region.
Answers
If a function has no critical points within a given region, it cannot possess a global maximum in that region.
A critical point of a function occurs where its derivative is either zero or undefined. Critical points include local maximum and minimum points as well as points of inflection. When a function has no critical points within a specific region, it means that the derivative of the function does not equal zero at any point in that region.
To understand why a function without critical points cannot have a global maximum in the region, we can consider the behavior of the function. At a global maximum, the function reaches its highest value within the entire region. This means that any point nearby the global maximum must have a lower function value.
Since the derivative of the function represents its rate of change, the absence of critical points indicates that the function is either continuously increasing or decreasing throughout the entire region. If it were increasing, there would be no maximum point, and if it were decreasing, there would be no minimum point. Thus, without critical points, the function cannot possess a global maximum within the region since it does not have a point that is higher than all others in its vicinity.
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10. Joseph and Tabitha were hiking and had a choice between two trails. One was
times as long. How long was the longer trail?
mile long, and the longer trail
was 5
Answers
Answer:
10+5=15 sow longer trail is 15
John Barker owns a repair shop in Ontario, a province that has a 13 percent HST rate. He has asked you to calculate the HST payable or refund for the first reporting period. Given the following information, what should the repair shop’s HST payable or refund be? Amount Before HST Sales $150,000 Equipment purchased 96,000 Supplies purchased 83,000 Wages paid 19,000 Rent paid 17,000
a) A refund of $8,450 b) A payment of $6,500 c) A refund of $3,770 d) A refund of $5,980
Answers
John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.
Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:
Total HST collected from Sales= HST Rate x Amount before HST Sales
Total HST collected from Sales= 13% x $150,000
Total HST collected from Sales= $19,500
Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.
Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)
Total HST paid on purchases= 13% x ($96,000 + $83,000)
Total HST paid on purchases= $19,790
Let's calculate the net HST payable or refund:
Net HST payable/refund = Total HST collected from sales - Total ITCs
Net HST payable/refund = $19,500 - $19,790Net HST payable/refund
= -$290 Since the Net HST payable/refund is negative,
it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.
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n2 + n + m; use m = -3.4, and n = 4.5
Answers
Answer:
21.25
Step-by-step explanation:
Substitute n with 4.5 and m with -3.5
Now the equation looks like this:
4.5^2+4.5-3.5
4.5^2 is 20.25
20.25+4.5 is 24.75
24.65-3.5 is 21.25
Hope this helps!
what's the slope (-4,15). (20,3)
Answers
Answer:
M=-1/2
Step-by-step explanation:
Have a nice day!
There are four candidates for homecoming queen and three candidates for king. How many king-queen pairs are possible?
Answers
The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.
To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.
Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.
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what is partial pressure calculator?
Answers
Partial pressure calculator is a tool used to calculate the partial pressure of a gas in a mixture.
This tool calculates the partial pressure of a gas based on its mole fraction and the total pressure of the mixture. It is the pressure that the gas would exert if it occupied the entire volume of the mixture alone, and is proportional to the mole fraction.
The formula used by the calculator is based on the ideal gas law.
\(P_i = X_i * P_t_o_t_a_l\)
where,
\(P_i\\\) = Partial pressure of gas 'i'.
\(X_i\) = mole fraction of the gas 'i'.
\(P_t_o_t_a_l\) = total pressure of the mixture.
This calculator can be used in various applications in chemistry and physics, such as in the study of gas behavior, to find the reaction rates, and the determination of the concentration of gases in the atmosphere.
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8.F. 2
5) Function F is described by the equation y= -8x +3
Function G is represented by the table below.
X
у
1
-13
O
5
Which statement about the two functions is true?
A. The slope off is greater than the slope of g
B. The slope of g is greater than the slope off
C. Function F has a positive slope.
D. Function G has a positive slope.
Answers
Answer:
I don't know. Make your question clearer, please.
Step-by-step explanation:
which best describes two figures that are similar?
Answers
Answer:
B
Step-by-step explanation:
In order to solve the equation, what must you do?
3x=9
divide by 3 on both sides of the equation
multiply by 3 on both sides of the equation
Divide by 9 on both sides of the equation
multiply by 9 on both sides of the equation
add 3 to both sides of the equation
subtract 3 to both sides of the equation
Answers
☽------------❀-------------☾
Hi there!
~
Answer:
Divide both sides by 3.
\(3x=9\)
\(\frac{3x}{3} = \frac{9}{3}\)
\(x = 3\)
❀Hope this helped you!❀
☽------------❀-------------☾
Find the distance between the pair of points.
E(−5, 5) and F(2, 5)
whoever is correct gets brainliest
Answers
Answer:
5.099
Step-by-step explanation:
Hunter and three friends were going to the movies. The movie tickets cost $10 each, they bought three popcorns at $7.25, and three drinks at $2.75. How much money did they spend total?
Answers
Hunter and three friends spent a total $41 of money.
What is addition?Addition is the process used to combine things and count them as a single, large group. Addition in mathematics is the process of combining two or more numbers. The term "sum" refers to the result of the process, and "addends" refers to the numbers that are added.
Given, Hunter and three friends were going to the movies.
The movie tickets cost $10 each.
So, cost of movie ticket is 3 times $10 = $30.
And they bought three popcorn at $7.25, and three drinks at $2.75.
That means, the expenditure other than movie is;
$7.25 + $2.75 = $11
To find the total money they spent:
Add all the expenditures,
$30 + $11 = $41.
Therefore, they spent $41.
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Find the lateral area for the prism.
36 in 2
54 in 2
27 in 2
81 in 2
Answers
The lateral area for the prism is equal to 54 square inches. (Correct choice: B)
How to determine the lateral area of the prism
Herein we have the case of a prism with five faces, two triangles and three rectangles. The lateral area for the prism is the sume of the areas of the three rectangular faces, whose formula is described below:
Rectangle
A = w · l
Where:
l - Length of the rectangle, in inches.w - Width, in inches.A - Area, in square inches.Finally, we proceed to determine the lateral area of the prism:
A = 3 · (3 in) · (6 in)
A = 54 in²
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what is the gcf of 14xy^2 and 21y^3
Answers
Answer:
7y^2
Step-by-step explanation:
on a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches. which statement is true about the two triangles?
Answers
The statement which is true about the two equilateral triangles is b)The two triangles are the same shape but not the same size. So, correct option is b.
In calculation, a symmetrical triangle is a triangle where every one of the three sides have a similar length. In the natural Euclidean calculation, a symmetrical triangle is likewise equiangular; that is, every one of the three inward points are additionally compatible to one another and are each 60°. It is likewise an ordinary polygon, so it is additionally alluded to as a normal triangle.
Some of hypotheses which are made sense of utilizing symmetrical triangle:
Morley's trisector hypothesis expresses that, in any triangle, the three marks of convergence of the contiguous point trisectors structure a symmetrical triangle.Napoleon's hypothesis expresses that, in the event that symmetrical triangles are built on the sides of any triangle, either all outward, or all internal, the focuses of those symmetrical triangles themselves structure a symmetrical triangle.The side length of the primary symmetrical triangle is 3 inches.The side-length of the second symmetrical triangle is 4 inches.Since both the triangles are symmetrical triangles, in this way they have same shape.
Be that as it may, the two triangles have different side lengths in this way they have different size.
Hence, option b is correct.
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(Complete question) is:
on a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches. which statement is true about the two triangles?
a. The two triangles are the same size but not the same shape.
b. The two triangles are the same shape but not the same size.
c. The two triangles are the same size and same shape.
d. It is impossible to construct equilateral triangles with these side lengths.
solve the following LP problem and find the optimal feasible solution. does the solution is LP special case? if yes what type of special case is it? you can either write the solution and scan your answer or type using word.doc Max 2x1 + 6x2 s.t. 2 x1 + 5 x1 <4 x1 + 2 x2 < 14 4 x1 + x2 < 6 x1 > 0, x2 > 0
Answers
The optimal feasible solution is x1 = 1, x2 = 0.4, and the problem is a regular linear programming problem.
The optimal feasible solution is x1 = 1 and x2 = 0.4, and the problem is a regular linear programming problem without any special case conditions?To solve the given linear programming problem, let's define the decision variables and formulate the objective function and constraints:
Decision Variables:
x1, x2
Objective Function:
Maximize: 2x1 + 6x2
Constraints:
2x1 + 5x2 ≤ 4
4x1 + x2 ≤ 6
x1, x2 > 0
To find the optimal feasible solution, we can use a linear programming solver. Here is the optimal solution for the given problem:
Optimal Solution:
x1 = 1
x2 = 0.4
The maximum value of the objective function is obtained when x1 = 1 and x2 = 0.4. The maximum value is 2(1) + 6(0.4) = 4.8.
Now let's analyze if the solution is a special case of linear programming.
This problem falls under the category of Linear Programming (LP) problems. However, it does not represent any specific special case of LP such as degeneracy, unboundedness, or infeasibility. The given problem has a feasible solution, and the objective function is maximized within the given constraints. Hence, it is a regular LP problem without any special case conditions.
Note: Since the solution is text-based, there is no need to scan or provide a separate file.
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A recipe for chili uses 213 cups of beans. Keith is making 112 times the recipe. Which equation helps Keith find how many cups of beans he needs?
Answers
Answer:
213 x 112
Step-by-step explanation:
You have to multiply the recipe with the amount of times it's made.
Answer:
213 cups of beans.Keith is making 112 times the recipe.
Step-by-step explanation: