The cost for the replacement for the window as required to be determined in the task content is; $1826.77.
What is the cost of replacing the window?It follows from the task content that the cost of replacing the window is required to be determined.
Since the triangular window mimics an equilateral triangle, it's area, A given side length, a is;
A = √3/4 • a².
Ultimately, the area of the window is;
A = √3/4 • 15²
A = 97.42785793 ft².
Since glass costs; 18.75 per square foot; it follows that the cost of replacing the window is; 97.42785793 ft² × 18.75 = $1826.77.
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I AM IN A HURRY CAN ANYONE ANSWER? I PROMISE I WILL GIVE BRAINLIEST!!!
Lauren graphs the system of equations to determine its solution.
y=2xy=−x+6
What is the correct solution?
Enter your answer by filling in the boxes.
$$
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
oh ur paper
Combine like terms. (6x+5) + (8y + 9x)+(-3 - 3y) (6x + 5) + (8y + 9x) +(-3 - 3y) = Q
Answer:
\((6x + 5) + (8y + 9x) + ( - 3 - 3y)(6x + 5) + (8y + 9x) -( 3 - 3y) \\ =6x + 5 + 8y + 9x - 18x - 15 - 18xy - 15y + 8y + 9x - 3 - 3y \\ =6x - 2y - 18xy - 13\)
what is the solution (x,y) to the system of equations? x=10 3x+5y=20
Answer:
(10, -2)
Step-by-step explanation:
x = 10 (its given in the problem)
then plug in 10 for x in the second equation and solve for y
3(10) + 5y = 20
30 + 5y = 20
5y = -10
y = -2
so the solution is (10, -2)
what is the midpoint of pq
The midpoint of the segment PQ where P¨= (-4, -1) and Q = (3, 3) is the point (-1/2, 1)
How to find the midpoint of PQ?If we have a segment whose endpoints are (a, b) and (c, d), then the midpoint of that segment will be:
( (a + c)/2, (b + d)/2).
In this case, we can see that the endpoints of the segment are:
(-4, -1) and (3, 3), replacing that in the midpoint formula that I wrote above we will get:
Midpoint: ( (-4 + 3)/2 , (-1 + 3)/2) = (-1/2, 1)
In this way, we conclude that the midpoint of the segment PQ where P¨= (-4, -1) and Q = (3, 3) is the point (-1/2, 1).
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True or False: In a pooled sample proportion, two samples are combined to estimate this single p instead of estimating p1 and p2 separately.
The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.
What is a pooled sample?It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.
In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.
In conclusion, the correct option is true.
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Find the value of x.
A. 5.58
B. 9.14
C. 15.2
D. 10
PLEASE HELP!!! :(
Answer:
D. 10
Step-by-step explanation:
\({ \sf{(12x + 12) \degree = 79\degree + (5x + 3)\degree}} \\ { \sf{ \{outer \: angle \: is \: equal \: to \: sum \: of \: inner \: angles \}}} \\ { \sf{12x - 5x = 79 + 3 - 12}} \\ { \sf{7x = 70}} \\ { \sf{x = 10}}\)
Homework3: find the solution of the following differential equation by Euler's modified method for x=0.05 & x=0.1 by taking h=0.05 correct up dy to 3 decimal places, x+y.[y=1 when x=0/ y(0)=1] = dx
We have tracked down the arrangement of the given differential condition by involving Euler's changed technique for x=0.05 and x=0.1 by taking h=0.05.
When a mathematical model can't be solved analytically, Euler's method for solving differential equations is useful. With a given initial value, Euler's method is a numerical method for approximating solutions to first-order differential equations. The changed Euler's strategy, otherwise called the better Euler strategy, is a mathematical method for approximating answers for first-request differential conditions with a given introductory worth.
Arrangement of the given differential condition by Euler's adjusted technique is examined below;Given, y(0) = 1 and y=1 when x=0. By utilizing Euler's adjusted strategy with h=0.05, we have;∴ x=0.05∴ x=0.1Therefore, utilizing Euler's altered technique with h=0.05, we gety(0.05) = 1.0518 (approx)y(0.1) = 1.1240 (approx)Thus, we have tracked down the arrangement of the given differential condition by involving Euler's changed technique for x=0.05 and x=0.1 by taking h=0.05.
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Given the universe of discourse as the set of natural numbers, N, use induction to prove P(n):2n>n2 is true ∀n≥m, where m is the minimal possible value.
By using mathematical induction, we have proven that
P(n): 2n > n^2 for all n ≥ m,
where m is the minimal possible value.
Base case: P(m) is true.
For n = m, we have:
2m > m^2
Since m is the minimal possible value, we assume m ≥ 1. Therefore, 2m > m^2 holds true for the base case.
Inductive step: Assume P(k) is true for some arbitrary value k ≥ m.
We assume that 2k > k^2 is true.
Now, we need to prove P(k+1) using the assumption above:
We have:
2(k+1) > (k+1)^2
Simplifying the right side:
2k + 2 > k^2 + 2k + 1
Rearranging:
1 > k^2 - 1
Since k ≥ m, we know k^2 ≥ m^2. Therefore:
k^2 - 1 ≥ m^2 - 1
Now, since m is the minimal possible value, we can assume m ≥ 1, which implies m^2 - 1 ≥ 0.
Therefore, we have: 1 > k^2 - 1 ≥ 0
This inequality holds true for all values of k ≥ m.
By completing the base case and the inductive step, we have shown that P(n): 2n > n^2 is true for all n ≥ m using mathematical induction.
To prove P(n): 2n > n^2 for all n ≥ m using mathematical induction, we need to show two things:
Base case: P(m) is true.
Inductive step: Assume P(k) is true for some arbitrary value k ≥ m, and prove that P(k+1) is true.
Let's proceed with the proof:
Base case: P(m) is true.
For n = m, we have:
2m > m^2
Since m is the minimal possible value, we can assume m ≥ 1. Therefore, 2m > m^2 holds true for the base case.
Inductive step: Assume P(k) is true for some arbitrary value k ≥ m.
We assume that 2k > k^2 is true.
Now, we need to prove P(k+1) using the assumption above:
We have:
2(k+1) > (k+1)^2
Simplifying the right side:
2k + 2 > k^2 + 2k + 1
Rearranging:
1 > k^2 - 1
Since k ≥ m, we know k^2 ≥ m^2. Therefore:
k^2 - 1 ≥ m^2 - 1
Now, since m is the minimal possible value, we can assume m ≥ 1, which implies m^2 - 1 ≥ 0.
Therefore, we have: 1 > k^2 - 1 ≥ 0
This inequality holds true for all values of k ≥ m.
By completing the base case and the inductive step, we have shown that P(n): 2n > n^2 is true for all n ≥ m using mathematical induction.
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What is the place value pf the 7 in 7,000.2?
the given expression is,
7000.2
the place value of 7 is,
7x 10^3 = 7000
thus, the answer is 7000
i have solved your problem in the answer tab.
if you have any doubt with this solution then let me know.
An object is moving with velocity (in ft/sec) v(t)=t2−1t−12
Find the displacement and total distance travelled from t=0 to t=6
To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.
The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.
The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.
Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].
To find the displacement, we integrate the velocity function as follows:
Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.
To find the total distance traveled, we integrate the absolute value of the velocity function as follows:
Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.
By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.
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Calculate the injury probability p (rounded to 2 decimals) that makes the decision maker indifferent between entering now and waiting until next year, that is for what probability are the EMV of both alternatives equal
The injury probability p that makes the decision maker indifferent between entering now and waiting until next year is approximately 0.26.
To calculate this probability, we need to set the expected values of entering now and waiting until next year equal to each other and solve for p. Let EMV₁ be the expected value of entering now and EMV₂ be the expected value of waiting until next year. Then we have:
EMV₁ = -1000p + 5000(1-p)
EMV₂ = 0.9(-1000p) + 0.1(5000)
Setting EMV₁ equal to EMV₂, we get:
-1000p + 5000(1-p) = 0.9(-1000p) + 0.1(5000)
Solving for p, we get:
p ≈ 0.26
Therefore, if the probability of injury is greater than 0.26, the decision maker should wait until next year to enter the market, and if the probability of injury is less than 0.26, the decision maker should enter the market now.
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12. Susan has 8 eggs in her fridge.
Two of the eggs have passed their sell by date and are "bad".
She selects 3 eggs at random to bake a cake.
(a) Complete the probability tree diagram.
(b) Work out the probability that Susan will select 3 "good" eggs.
(c) Work out the probability that Susan will select at least one "bad" egg.
The probability that Susan will select 3 "good" eggs are 8C3*3/4 and the probability that Susan will select at least one "bad" egg. is 8C1*1/4
How do you calculate probability?Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
What are probability and examples?The probability is equal to the variety of possible outcomes. the total number of outcomes that might occur. For instance, there is only one method to receive a head and there are a total of two possible outcomes, hence the chance of flipping a coin and receiving heads is 1 in 2. (a head or tail). Writing P(heads) = 12
Hence,
The probability that Susan will select 3 "good" eggs are 8C3*3/4 and the probability that Susan will select at least one "bad" egg. is 8C1*1/4
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A submarine travels 25° west of
north. What is its compass
heading?
[?]°
Enter
Answer: 115 ° east of south
Step-by-step explanation: 90+25=115 east of south important the way of using a compass
Answer:
335
Step-by-step explanation:
360-25=335
i also took this course. had to figure it out on my own.
Cell Phone and Brain Cancer. In a study of 420,095 cell user in Denmark, it was found that 135 developed cancer of the brain or nervous system. If we assume that the use of cell phones has no effect on developing such cancer, then the probability of a person having such a cancer is 0.000340.
a) Assuming that cell phones have no effect on developing cancer, find the mean and standard deviation for the number of people in groups of 420,095 that can be expected to have cancer of the brain or nervous system.
b) Based on the results from part (a), it is unusual to find that among 420,095 people, there are 135 cases of cancer of the brain or nervous system? Why or why not?
c) What do these results suggests about the publicized concern that cell phones are a health danger because they increase the risk of cancer of the brain or nervous system?
a) Assuming that cell phones have no effect on developing cancer, the mean (μ) for the number of people in groups of 420,095 who can be expected to have cancer of the brain or nervous system.
It is given by μ = np, where n is the sample size and p is the probability of having the cancer. In this case, μ = 420,095 * 0.000340 = 143.03. The standard deviation (σ) can be calculated using the formula σ = √(np(1-p)). Plugging in the values, we get σ = √(420,095 * 0.000340 * (1-0.000340)) = 11.87.
b) It is unusual to find exactly 135 cases of cancer of the brain or nervous system among 420,095 people if we assume that cell phones have no effect on developing cancer. This is because the observed number of cases (135) is more than 3 standard deviations away from the mean (143.03). According to the empirical rule (or 68-95-99.7 rule), approximately 99.7% of the data should fall within 3 standard deviations of the mean in a normal distribution. Therefore, the observed number of cases is considered statistically significant and deviates from what would be expected under the assumption of no effect.
c) These results suggest that the observed number of cases of cancer of the brain or nervous system among cell phone users in the study is higher than what would be expected if cell phones had no effect on cancer risk. The fact that 135 cases were found among 420,095 people indicates a higher probability than the assumed 0.000340. This raises concerns about the potential link between cell phone use and an increased risk of cancer. However, it is important to note that this study alone does not provide conclusive evidence of a causal relationship. Further research is needed to establish a more definitive link between cell phone use and the development of brain or nervous system cancer.
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could you help me out
we must use trigonometric ratios to solve the right triangle
i will use the cosine
\(\begin{gathered} \cos (\alpha)=\frac{A}{H} \\ \end{gathered}\)where alpha is the angle, a the adjacent side and H the hipotenuse,
so replacing
\(\cos (73)=\frac{6}{x}\)now solve for x
\(\begin{gathered} x=\frac{6}{\cos (73)} \\ \\ x=20.52 \end{gathered}\)so the right option is I
A quadrilateral has how many sides and angles ?
Answer:
4
Explanation:
A quadrilateral has 4 sides and 4 angles (Quad = 4)
How do you solve 859/3 in 5 steps
Answer:
286.333
Step-by-step explanation:
Find it doing long division...
A refrigerator is sold for $1998 and a 11% profit is made.
Find the original cost of that refrigerator.
Answer:
Cost Price = $1800
Step-by-step explanation:
Let cost price (CP) be x
Selling price(SP) = 1998
Profit = Selling price - cost price = 1998 - x
\(profit \% = \frac{SP - CP}{CP}\)
\(\frac{11}{100} = \frac{1998-x}{x}\)
\(0.11 = \frac{1998}{x} - 1\\\\1 + 0.11 = \frac{1988}{x}\\\\1.11 = \frac{1998}{x}\\\\x = \frac{1998}{1.11} = 1800\)
Im not sure what to do
Answer:
\(h(-1)=\frac{-2}{3}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
\(h(x)=\frac{2x-6}{4x^2+8}\)
h(-1) is x = -1
Step 2: Evaluate
Substitute: \(h(-1)=\frac{2(-1)-6}{4(-1)^2+8}\)Exponents: \(h(-1)=\frac{2(-1)-6}{4(1)+8}\)Multiply: \(h(-1)=\frac{-2-6}{4+8}\)Subtract: \(h(-1)=\frac{-8}{4+8}\)Add: \(h(-1)=\frac{-8}{12}\)Simplify: \(h(-1)=\frac{-2}{3}\)Plz help me get the right answer
Answer:
6x^2 + 10x -1 and -5x^2 -2x + 1
6x^2 -5x^2 = x^2
+10x -2x = +8x
-1 +1 = 0
answer:
x^2 + 8x
Please someone help me! I have a assignment due tomorrow and this is one of the questions!! 3 2/6 - 2/3 ???
Answer:8/3 your welcome UwU
fill in the missing number: 0,1,1,2,3,5,8,13,-,34,55
The missing number of the series is 21.
The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.
Using this pattern, we can determine the missing number in the sequence.
0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55
Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.
Therefore, the completed sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.
To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.
The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:
011235813213455Therefore, the missing number in the sequence is 21.
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The length of a rectangle is 7 centimeters less than its width. What are the dimensions of the rectangle if its area is 60 square centimeters?
The dimensions of the rectangle has a width = 12cm and length = 5cm.
Area of rectangleIn calculating the area of a rectangle, we multiply its length and width.
Let us use the letter x to represent the width, so that the length = x - 7
hence we calculate for the unknown x as follows;
x(x - 7) = 60
expand and equate to zero to derive a quadratic equation
x² + 7x - 60 = 0
by factorisation;
x² - 12x + 5x - 60 = 0
x(x - 12) +5(x -12) = 0
(x + 5)(x - 12) = 0
thus for x + 5 = 0
x = -5
and for x - 12 = 0
x = 12
Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.
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in the formula, =1+(2-3)+5/6-6^2, what will access evaluate first?
in the formula, =1+(2-3)+5/6-6^2, The final result of the formula is -35.1667.
In the formula =1+(2-3)+5/6-6^2, the order of operations dictates that the exponentiation operator (^) is evaluated first, followed by multiplication and division from left to right, and then addition and subtraction from left to right.
So, access will evaluate 6^2 first, which equals 36. Then, it will evaluate the division 5/6, which equals 0.8333 (rounded to four decimal places).
Next, it will evaluate the subtraction (2-3), which equals -1. Then, it will evaluate the addition (1+(-1)), which equals 0. Finally, it will evaluate the multiplication (-6 * 6), which equals -36.
Putting it all together, we get:
=1 + (2-3) + 5/6 - 6^2
= 1 + (-1) + 0.8333 - 36
= -35.1667
Therefore, the final result of the formula is -35.1667.
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Brainliest given to anyone who gets both answer
Helen draws a random circle,
She then measures its diameter and circumference,
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula n =
음
Calculate the lower bound and upper bound for Helen's value of .
Give your answers correct to 3 decimal places.
Answer:
3.115
Step-by-step explanation:
pi = 405 ÷ 130
= 3.1153846154
upper bound 3.116
lower bound 3.115
Edit : Incorrect Answer
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
12. Estimate the average rate of change of p between peak, p(8), and closing, p(14). What is
the meaning of the rate of change in the context of this problem? Show all work.
The meaning of the rate of change in the context of this problem is 4/7.
What is the change's speed?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one thing by the equal amount of change in another.The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or slowdown of changes (i.e., the pace). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.The formula R = D/T may often be used to tackle rate-of-change problems.P-8 / p(14)
8p / p(14) =4/7
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Use the long division method to find the result when 4x3 + 4x2 + 19x + 9 is
divided by 2x + 1.
Answer:
47x+42/2
Step-by-step explanation:
simplify 9/2
((19x+20)+(9/2×x))+1
(47x+40)/2+1
(47+42)/2
Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!!!!!!!
Answer:
38
Step-by-step explanation:
Find the values of each function.
f(-9)= 4
g(6)=6
Then plug them in.
-1 x 4 + 7 x 6
-4+42
38!
what numbers go where?
Answer:
0,1,2,3,4 all go in circle A and B which is the 4 boxes in the middle, but put zero in the box that is alone.
5,6,7 go in circle B
Step-by-step explanation:
Less than 5 is just 0,1,2,3,4.
A natural number is a number that is bigger than zero . so it is 1 and evrything higger than it
20/24 equals 45/50 true or false
bring the fractions to a common denominator
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