Answer:
-4.14130434783
Step-by-step explanation:
If AB=BC=15 feet and AC=24 feet, what is, BD, the height of the camp tent entrance?
The solution is, the value of BD is 9, the height of the camp tent entrance.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².
here, we have,
If AB=BC=15 feet and AC=24 feet,
now, we have to find BD, the height of the camp tent entrance.
we get,
BD is a perpendicular bisector of AC.
now, we have,
AD = DC = 24/2 = 12
by using Pythagorean theorem, we get,
BD² = AB² - AD²
solving we get,
BD = 9
Hence, The solution is, the value of BD is 9, the height of the camp tent entrance.
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forever (i.e. in perpetuly). The cost of eapital is 14%. What is the IRR? Note that this probiem is not from the texthook, no there is no Help Me Solve Thin or View An Examplo. However, this is a basio use of the PV formulne from Chapter 4, so you thould be abin to foure thout. If you need helg, review the course slides from Chapters 4 and 8 . Wo worked this specific problem in the Chapter 8 nldes. Formuting: Give your nntwer in peroent, to one and only ane decimal place, and with no percentage sign. For example, 6.2, 10.9 or 47.6. The sotware will mark it wrong oekerwise, so please formet your answer property]
The Internal Rate of Return (IRR) is the discount rate at which the net present value (NPV) of an investment becomes zero. In this case, we need to calculate the IRR when the cost of capital is 14%. To find the IRR, we can use the PV formula from Chapter 4.
Here is the step-by-step explanation:
1. First, determine the cash flows associated with the investment. If there are multiple cash flows, consider the initial investment as a negative cash flow and subsequent cash flows as positive.
2. Calculate the present value (PV) of each cash flow using the formula: PV = CF / (1 + r)^n, where CF is the cash flow, r is the discount rate (in this case, 14%), and n is the time period.
3. Sum up all the present values of the cash flows to find the net present value (NPV). If the NPV is positive, increase the discount rate; if the NPV is negative, decrease the discount rate.
4. Repeat steps 2 and 3 until the NPV becomes close to zero. The discount rate at this point is the Internal Rate of Return (IRR).
In summary, to find the IRR when the cost of capital is 14%, we need to calculate the net present value (NPV) using the PV formula for the cash flows associated with the investment. We then adjust the discount rate until the NPV becomes close to zero, which will give us the IRR.
Remember to format your answer properly by giving the IRR in percentage format, to one decimal place, and without the percentage sign. For example, 6.2, 10.9, or 47.6.
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you roll two fair dice. find the probability that the first die is a 6 given that the minimum of the two numbers is a 4.
Step-by-step explanation:
answers is 1 and 2 by 3
all the best
The probability of getting the 6 on the first die given that the minimum of two numbers is 0.11.
What is the probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
Given that Two dice are rolled.
Then the sample space (n) = 36
Possible outcomes = {(6,1), (6, 2), (6, 3), (6, 4)}
Probability = 4/36
= 0.11
Hence, the probability of getting the 6 on the first die given that the minimum of two numbers is 0.11.
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what is limit definition of a derivative?
The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.
The limit definition of a derivative is expressed as follows:
\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)
Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.
The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.
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7x + 11y= -2
7x + 3y= 30
Answer:
y = -4
x = 6
Solution:
7x + 11y = -2 [1]
7x + 3y = 30 [2]
[1] - [2],
8y = -32
y = -4
(use substitution method to find x)
substitute y = -4 into [2],
7x + 3y = 30
7x + 3(-4) = 30
7x - 12 = 30
7x = 30 +12
7x = 42
x = 6
14x + 7 + 4 I need help asap
Answer:
Step-by-step explanation:
14x + 11
Suppose that a box contains 7 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Write the probability distribution for X.Round probabilities to 4 decimal places 6/21 What is the expected value of X? 20a, " Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243, 5+4) Enter DNE for Does Not Exist, oo for infinity Box 2: Enter your answer as a number (like 5,-3, 2.2172) or as a calculation (like 5/3, 243, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243,5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as a number (like 5,-3, 2.2172) or as a calculation (like 5/3, 2A3, 5+4) Enter DNE for Does Not Exist, oo for Infinity
In this scenario, we have a box containing 7 cameras, with 4 of them being defective. We are interested in the number of defective cameras in a sample of 2 cameras, represented by the random variable X.
To find the probability distribution for X, we calculate the chances for each possible outgrowth. The probability of having 0 imperfect cameras( X = 0) is1/7, as there's only one way to elect 2non-defective cameras out of the 7 available. The anticipated value of X, denoted as E( X), provides an estimate of the average number of imperfect cameras in a sample of 2. It's calculated by multiplying each possible outgrowth by its corresponding probability and casting them up.
Probability distribution for X:
P(X = 0) = 1/7
P(X = 1) = 4/7
P(X = 2) = 2/7
Expected value of X: 1.1429
In this case, the anticipated value of X is1.1429, indicating that, on average, we'd anticipate to find roughly1.1429 imperfect cameras in a sample of 2 cameras. The anticipated value serves as a measure of central tendency and provides perceptivity into the long- term average outgrowth.
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Adam is helping make mashed potatoes for Thanksgiving. He plans to add 4 fluid ounces of heavy cream to his potatoes. If he buys 1-pint carton, how many fluid ounces will he have left?
Right answer gets brainliest!! :)
Which expression is equivalent to 4(3n -5)?
Answer:
12n-20
Step-by-step explanation:
Use distribution
4×3n= 12n
4×(-5)= -20
12n-20
Answer:
12n - 20
Step-by-step explanation:
1. 4(3n-5)
2. 4(3n-5) = 12n - 20 multiply every number in ( ) by 4 (include variables)
Mark me as brainliest!!
Blackhawk Tech gives four presidential Scholarships. If there are 53 nominees, in how many ways can the scholarships be awarded?
ways
Submit Answer
On calculation by combination, it is found that there are 17,341,448 ways scholarships can be awarded.
Given that Blackhawk Tech gives four Presidential Scholarships and there are 53 nominees, the number of ways scholarships can be awarded is to be determined. Here, we can use the concept of combinations and permutation to find the answer.
Permutation: It is defined as the arrangement of objects in a specific order. The formula to find permutation is given as:
nPr = n!/(n - r)!,
where n is the total number of objects and r is the number of objects being arranged.
Combination: It is defined as the selection of objects without any specific order. The formula to find combination is given as:
nCr = n!/[r! (n - r)!],
where n is the total number of objects and r is the number of objects being selected.
Now, to find the number of ways scholarships can be awarded, we need to select four nominees out of 53 nominees without considering the order in which they are selected. So, here we will use the combination formula, which is as follows:
nCr = n!/[r! (n - r)!]
53C4 = 53!/[4! (53 - 4)!]
53C4 = 53!/[4! 49!]
53C4 = (53 × 52 × 51 × 50)/(4 × 3 × 2 × 1)
53C4 = 416,214,750/24
53C4 = 17,341,447.92
Therefore, the number of ways scholarships can be awarded is 17,341,448.
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help me plss math question
Answer:
B
............................
Question 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT
The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).
In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.
A. √2:√2
The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.
B. 15
This is a specific value and not a ratio. Therefore, option B is not applicable.
C. √√√√5
The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.
D. 12√3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.
E. √3:3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.
F. √2:√5
This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.
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ayone amos right now gonna be answering : yungbreezyf2
ill add you if you follow my t i k t o k(:
-3(4x − 2) = 6x + 14
Answer:
x = -4/9
Step-by-step explanation:
-3(4x − 2) = 6x + 14
Distribute
-12x+6 = 6x+14
Add 12x to each side
-12x+6+12x = 6x+14+12x
6 = 18x+14
Subtract 14 from each side
6-14 = 18x
-8 =14x
Divide each side by 14
-8/14 = 14x/14
-4/9 = x
-12x+6=6x+14
-12x-6x=15-6
6x=15-5
6x-9/6=
6
x=3/2
(6x-1)°=(6(10)-1)° don’t know?
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
You can compare parts of each expression to see that x in the left-side expression is replaced by 10 in the right-side expression.
x = 10
__
If you'd rather, you can work your way down to the same conclusion by undoing the operations that have been done to x.
(6x -1)° = (6(10) -1)° . . . . . . given
6x -1 = 6(10) -1 . . . . . . . . . divide both sides by °
6x = 6(10) . . . . . . . . . . . . add 1 to both sides
x = 10 . . . . . . . . . . . . . . . . divide both sides by 6
how do I solve the value of the n
A model ship is built to a scale of 1centimeter: 5 meters. The length of the model is 30 centimeters. What Is the length of the actual ship?
Seventy percent of what number is 35?
Seventy percent of fifty (50) is 35
What is the percentage?The percent or percentage of a number is the division of the number with 100.
From the given information, we are being told that 70% of a number is 35.
Let's assume that the unknown number is: (x)It means that:
70% of x = 35
\(\mathbf{(\dfrac{70}{100})x = 35}\)
0.7x = 35
Divide both sides by 0.7
x = 35/0.7
x = 50
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lim x→2
f(x), where f(x)={ 12−2x
x 2
−x
if x<2
if x≥2
The limit of f(x) as x approaches 2 is -1/2.
To find the limit of f(x) as x approaches 2, we need to evaluate the function from both sides of x = 2 and see if the values converge to a single value.
For x values less than 2, the function f(x) is given by 12 - 2x / (x^2 - x). As x approaches 2 from the left side (x < 2), the function becomes:
lim(x→2-) f(x) = lim(x→2-) (12 - 2x) / (x^2 - x)
Substituting x = 2 into the expression, we get:
lim(x→2-) f(x) = (12 - 2(2)) / (2^2 - 2) = 8 / 2 = 4
For x values greater than or equal to 2, the function f(x) is given by -x / (x^2 - x). As x approaches 2 from the right side (x ≥ 2), the function becomes:
lim(x→2+) f(x) = lim(x→2+) (-x) / (x^2 - x)
Substituting x = 2 into the expression, we get:
lim(x→2+) f(x) = (-2) / (2^2 - 2) = -2 / 2 = -1
Since the limit from the left side, lim(x→2-) f(x), is 4, and the limit from the right side, lim(x→2+) f(x), is -1, and these two values are different, the limit of f(x) as x approaches 2 does not exist.
Therefore, the correct answer is that the limit of f(x) as x approaches 2 is undefined or does not exist.
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According to the definition of the derivative, to compute f′(0), we need to compute the left-hand limit - see photo
The correct function is that f'(0) is undefined.
Given the piecewise function:
f(x) = -2x² + 2x for x < 0
f(x) = 6x² - 4 for x >= 0
To compute f'(0), we need to evaluate the left-hand limit and the right-hand limit separately and check if they are equal.
Left-hand limit (x → 0-):
For x < 0, f(x) = -2x² + 2x
To compute the left-hand limit, we substitute x = 0 into the expression:
lim (x → 0-) (-2x² + 2x) = 0
Right-hand limit (x → 0+):
For x >= 0, f(x) = 6x² - 4
To compute the right-hand limit, we substitute x = 0 into the expression:
lim (x → 0+) (6x² - 4) = -4
Since the left-hand limit and the right-hand limit do not agree (0 ≠ -4), we can conclude that the derivative f'(0) does not exist or is undefined for this piecewise function at x = 0.
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find the volume of a solid obtained by rotating the region calculator
To find the volume of a solid obtained by rotating a region, you'll need to use the method of disks or washers, depending on the specific problem. The terms "long answer" are not relevant to the calculation.
1. Identify the region you want to rotate and the axis of rotation.
2. Set up an integral using the method of disks or washers, depending on the given problem.
- Disks: Use the formula V = π * ∫[R(x)]^2 dx from x=a to x=b, where R(x) is the radius of the disk and a and b are the bounds of the region.
- Washers: Use the formula V = π * ∫([R(x)]^2 - [r(x)]^2) dx from x=a to x=b, where R(x) is the outer radius and r(x) is the inner radius.
3. Evaluate the integral to find the volume of the solid.
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You have a set of consecutive integers from (−5) to 5, inclusive. You multiply any three of the integers. What is the least positive integer you can get as the product?
The least positive integer we can get as the product is 2.
What is the least positive integer you can get?Here we have the following set of numbers:
{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
And we want to take the product between 3 of them and find the least positive integer that we can get as the product.
So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)
Then we will get:
1*(-1)*(-2) = 2
That is the least positive integer we can get as the product.
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the qualified applicant pool for four management trainee positions consists of nine women and seven men. (a) how many different groups of applicants can be selected for the positions? (b) how many different groups of trainees would consist entirely of women? (c) probability extension: if the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of four are equally likely, what is the probability that the trainee class will consist entirely of women? (round your answer to four decimal places.)
There are 1820 different groups of applicants for 4 management trainee positions, 126 different groups of trainees consisting entirely of women, and a 0.0692 probability that the trainee class will consist entirely of women.
The number of different groups of applicants that can be selected for the four management trainee positions can be calculated using the combination formula:
nCr = n! / (r! * (n-r)!)
where n is the total number of applicants (16 in this case) and r is the number of positions to be filled (4 in this case).
So the number of different groups of applicants that can be selected is:
16C4 = 1820
Therefore, there are 1820 different groups of applicants that can be selected for the four management trainee positions.
The number of different groups of trainees that would consist entirely of women can be calculated using the combination formula again, but this time we are selecting all 4 positions from the 9 female applicants:
9C4 = 126
Therefore, there are 126 different groups of trainees that would consist entirely of women.
Assuming that all groups of four are equally likely to be selected, the probability that the trainee class will consist entirely of women can be calculated by dividing the number of different groups of trainees that consist entirely of women (126) by the total number of different groups of applicants (1820):
Probability = 126 / 1820 = 0.0692
So the probability that the trainee class will consist entirely of women is 0.0692 (rounded to four decimal places).
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Help please i need to know this
Answer:true,true,false, true,false false
Step-by-step explanation:
Answer:
As shown in the attachment,
Step-by-step explanation:
PLEASE HELP! 40 POINTS AND WILL MARK BRAINLIEST.
A hot air balloon is 750 meters above the ground and begins to descend at a
constant rate of 25 meters per minute. The function f(x) = 750 - 25x represents the
height of the hot air balloon after x minutes.
a) Find and interpret the x- and y-intercepts for this situation
b) Graph the situation
Answer:
I know this is not really answering your question but I found this PDF and it had a similar question to yours
Draw a circle of radius 4cm construct a pair of tangents to it the angle between which is 60°
Step-by-step explanation:
i hope its image help youGeorgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A Write and evaluate an expression to show Veronica’s age. Enter the correct answers in the boxes
x+6=14 is the equation used to find the Veronica age and Veronicas current age is 8 years.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Georgia is 7 years younger than 5 times the age of her daughter, Veronica.
Veronica will be 14 in 6 years
We need to find the Veronicas age.
Let x be the Veronicas age
x+6=14
Subtract 6 from both sides
x=14-6
x equal to forteen minus six.
we get eight
x=8
Hence, x+6=14 is the equation used to find the Veronica age and Veronicas current age is 8 years.
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find the value of x and please show how
a set of values for the decision variables that satisfy all the constraints and yields the best objective function value is
A set of values for the decision variables that satisfy all the constraints and yields the best objective function value is a feasible solution that optimizes the objective function.
In optimization problems, decision variables are the quantities that we can control or adjust to achieve a desired outcome. Constraints are the limitations or conditions that these decision variables must satisfy. The objective function represents the goal or objective we want to optimize.
A feasible solution refers to a set of values for the decision variables that satisfy all the given constraints. This means that the solution meets all the specified requirements and does not violate any constraints. However, there can be multiple feasible solutions that meet the constraints.
Among these feasible solutions, the one that yields the best objective function value is the optimal solution. The objective function value is a measure of how well the solution aligns with the desired objective. The goal is typically to maximize or minimize this objective function value, depending on the problem.
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PLEASE HELP!!
triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc
Answer:
-7,-6,-3.these are the vertices