answer
tan x=p/b=8/15
Step-by-step explanation:
using pythagoras theorem
h^2 =p^2+b^2
h^2=8^2+15^2
h^2=64+225
h^2=289
h=root 289
h=17
then,
cosx=b/h
=15/17
^2= Square
Even numbers greater than -37 but less than -25
Answer:
-36, -34, -32, -30, -28, -26
Step-by-step explanation:
Can you help me understand how to simplify this boolean
expression? f(a, b, c, d) = (a’ + c)’d + c’(a +
bd’)
The simplified boolean expression for f(a, b, c, d) is a'c' + d + b'cd.
Provided expression: f(a, b, c, d) = (a' + c)'d + c'(a + bd')
1. Apply De Morgan's Laws
Recall the De Morgan's Laws:
- (A + B)' = A' · B'
- (A · B)' = A' + B'
Using De Morgan's Laws, we can rewrite the expression as follows:
f(a, b, c, d) = (a'c')'d + c'(a + bd')
2. Distributive Law
We can apply the distributive law to the second term c'(a + bd'):
f(a, b, c, d) = (a'c')'d + c'a + c'bd'
3. Apply De Morgan's Laws again
We can apply De Morgan's Laws to the first term (a'c')':
f(a, b, c, d) = (a' + c)d + c'a + c'bd'
4. Distributive Law (again)
We can apply the distributive law to the first term (a' + c)d:
f(a, b, c, d) = a'd + cd + c'a + c'bd'
5. Simplify
By observing the terms, we can identify some common factors:
In the first term a'd + c'a, we can factor out a': a'd + c'a = a'd + a'c' = a'(d + c')
In the last term c'bd', we can factor out b': c'bd' = b'cd'
Now we can simplify the expression further:
f(a, b, c, d) = a'(d + c') + cd + b'cd'
6. Factor out common terms
We can factor out c' from the first two terms and factor out d from the last two terms:
f(a, b, c, d) = a'c' + c'd + cd + b'cd'
7. Combine like terms
We can combine the terms with c'd and cd:
f(a, b, c, d) = a'c' + (c'd + cd) + b'cd'
Simplifying further, we can observe that c'd + cd = c'd + cd + 0 = (c' + c)d = 1 · d = d:
f(a, b, c, d) = a'c' + d + b'cd
Final simplified form:
f(a, b, c, d) = a'c' + d + b'cd
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Select the correct answer.
Which graph represents a direct variation?
Answer:
it has to be c
Step-by-step explanation:
Answer:
c is the correct answer
Step-by-step explanation:
Samantha often talks on her cell phone while driving. this can be distracting and increases her chance of having an accident. what would your advice be to her?
Samantha often talks on her cell phone while driving. this can be distracting and increases her chance of having an accident. Don't use the phone at all while driving.
What is rules of driving?
Always move over for pedestrians. Hold your position behind the red-lit school buses. Emergency vehicles with running sirens and flashing lights are approaching. Get rid of any outside influences. Always buckle up when you are driving.I will advise her to refrain from using her phone at all while driving.
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Tyler estimates a 24% tip on her $52.75 pedicure by taking 25% of the total bill. The 25% is an example of a ________ .
A) benchmark percent
B) part
C) percent
D) whole
The 25% is an example of a benchmark percent.
Given that:
Tyler estimates a 24% tip on her $52.75 pedicure by taking 25% of the total bill.
It is required to find the type of percent that 25% is.
Here,
Total bill = $52.75
Here, Taylor needs to give a tip of 24%.
So, he takes 25% of the total bill to estimate the amount which results in 24% of the bill.
That is, here, 24% is the actual tip needed to be given, but the estimation of 24% is a bit difficult. So he takes 25% of the bill.
This is an example of a benchmark percent, where the actual percentage is rounded to percentages like 10%, 25%, 50%, 75%, and 100%.
Hence the correct option is A.
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help me in this please
Answer:
35 rows and 35 numbers of plants in a row.
Step-by-step explanation:
Mark as brainliest
a 1 =−4a, start subscript, 1, end subscript, equals, minus, 4 a_i = a_{i - 1} \cdot 2a i =a i−1 ⋅2
The given equation is a recursive formula where a subscript i equals the product of a subscript i-1 and 2, with the initial value of a subscript 1 being -4a.
The equation represents a recursive relationship between the terms of the sequence. Starting with the initial term, a subscript 1, the subsequent terms are determined by multiplying the previous term, a subscript i-1, by 2. This recursive formula can be written as a subscript i = a subscript i-1 * 2.
Given that a subscript 1 = -4a, we can use this initial value to find the subsequent terms of the sequence. To calculate a subscript 2, we substitute i = 2 into the formula:
a subscript 2 = a subscript 2-1 * 2 = a subscript 1 * 2 = -4a * 2 = -8a.
Similarly, for a subscript 3:
a subscript 3 = a subscript 3-1 * 2 = a subscript 2 * 2 = -8a * 2 = -16a.
By applying the recursive formula repeatedly, we can generate the terms of the sequence. Each term is obtained by multiplying the previous term by 2.
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Using simplex method to solve the following problems: (Manual calculations and then confirm your calculation by any software) Max. Z=5A+4B Subject to constraints: 6 A+4 B≤24, A+2 B≤6,−A+B≤1, B≤2, A, B≥0
Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.
To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:
| A | B | S1 | S2 | S3 | S4 | RHS
------------------------------------------
Z | -5 | -4 | 0 | 0 | 0 | 0 | 0
------------------------------------------
S1 | 6 | 4 | 1 | 0 | 0 | 0 | 24
S2 | 1 | 2 | 0 | 1 | 0 | 0 | 6
S3 | -1 | 1 | 0 | 0 | 1 | 0 | 1
S4 | 0 | 1 | 0 | 0 | 0 | 1 | 2
We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:
| A | B | S1 | S2 | S3 | S4 | RHS
------------------------------------------------------
Z | 0 | 1.8 | 0.2 | -1 | -0.4 | 0.4 | 19.2
------------------------------------------------------
S1 | 0 | 0 | 0 | 1.5 | -1 | 1 | 3
S2 | 1 | 0 | -0.5 | 0.5 | 0.5 | -0.5 | 1.5
A | 1 | 0 | 0.5 | -0.5 | -0.5 | 0.5 | 0.5
S4 | 0 | 0 | 1 | -1 | -1 | 1 | 1
From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.
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Simply: 9+2(3+4)
I need help
Answer:
23
Step-by-step explanation:
9+2(3+4)
PEMDAS
Parentheses first
9+2(7)
Then multiply
9+14
Then add
23
Answer:
23
Step-by-step explanation:
9+2(3+4)
=9+(2)(7)
=9+14
=23
a flight is to be conducted in vfr-on-top conditions at 12,500 feet msl (above 1,200 feet agl). what is the in-flight visibility and distance from clouds required for operation in class e airspace during daylight hours? a. 3 miles; above 1,000 feet; horizontal 2,000 feet; below 1,000 feet. b. 5 miles; above 1,000 feet; horizontal 2,000 feet; below 500 feet. c. 5 miles; above 1,000 feet; horizontal 1 mile; below 1,000 feet.
The answer to your question is option B: 5 miles; above 1,000 feet; horizontal 2,000 feet; below 500 feet.
Explanation:
In Class E airspace during daylight hours, when conducting a flight in VFR-on-top conditions at 12,500 feet MSL (above 1,200 feet AGL), the in-flight visibility and distance from clouds required are as follows:
- The in-flight visibility should be at least 5 miles.
- The aircraft must be above 1,000 feet vertically from the clouds.
- The horizontal distance from clouds must be at least 2,000 feet.
- When below 500 feet, the aircraft must remain clear of clouds.
Conclusion:
To operate a flight in Class E airspace during daylight hours in VFR-on-top conditions at 12,500 feet MSL (above 1,200 feet AGL), the required in-flight visibility is 5 miles, the aircraft should be above 1,000 feet from the clouds vertically, the horizontal distance from clouds should be at least 2,000 feet, and when below 500 feet, the aircraft must remain clear of clouds.
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what is the value of √121 + ∛125
Answer:
16
Step-by-step explanation:
11 x 11 = 121
5 x 5 x 5 = 125
11+5 = 16
The graph of which function is the same as the graph of y= shifted to the right 5 units and shifted
up 2 units?
Answer:
y = 1/x-5 + 2
Step-by-step explanation:
Adding 2 will shift the graph up 2 units
Adding numbers to the x will shift the graph left, so subtract 5 to shift the graph to the right
Can you help me please someone
Answer:
< HZG = 142 degrees
Step-by-step explanation:
180-38 = 142
<HZJ + <HZG = 180 degrees degrees (linear pair angles)
which logarithm bases can you use to solve for in the exponential equation ? (select all that apply.) log base x log base 25 log base 4 log base 10
The exponential equation may be solved using log base x and log base 10 logarithm bases. The right answer is D.
Finding the base of the logarithm that may be used to determine the value of x is necessary in order to solve an exponential equation with the form log base x (y) = z.
The equation log base x (y) = z applies here. Let's explore each possible logarithm base:
Log base x: The problem may be solved directly using this logarithm base. The value of x that the equation requires may be discovered using the logarithm base x.
Log base 25: The problem cannot be properly solved using this logarithm base. It does not work with the provided equation.
Log base 4: The equation cannot be properly solved using this logarithm base. It does not work with the provided equation.
Log base 10: The problem may be readily solved using this logarithm basis. To determine the value of x that the equation requires, use the logarithm base 10 function.
The logarithm bases that may be utilised to solve the exponential equation based on the provided parameters are log base x and log base 10.
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what is the slope to this ?
Answer:
1/5
Step-by-step explanation:
The equation for slope y2-y1 divided by x2-x1
I did (-4,-3) and (1,-2) and got 1/5 after putting it into the formula.
Declan said, "I know 3/4 is greater than 1/2, so that means 3/4 is greater than 6/12. " Does Declan’s reasoning make sense?
Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.
Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.
So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.
3/4 = 9/12
1/2 = 6/12
6/12 = 6/12
Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.
Therefore, Declan's reasoning is correct.
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An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment. If the data produce an F-ratio of F = 4.60, which of the following is the correct statistical decision? a. Reject the null hypothesis with α = .05 but not with α = .01 b. Reject the null hypothesis with either α = .05 or α = .01 c. Fail to reject the null hypothesis with either α = .05 or α = .01 d. There is not enough information to make a statistical decision
Considering the p-value of the f-ratio, it is found that the correct option is given by:
a. Reject the null hypothesis with α = .05 but not with α = .01.
What is the relation between the p-value and the test hypothesis?Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.If it is less, it is rejected.In this problem, the test statistic is of F = 4.60, with 4 x 7 = 28 df between treatments and 7 df in a single treatment, hence, using a calculator, the p-value is of 0.0218, which is less than 0.05 but more than 0.01, meaning that option A is correct.
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Which is a complete list of factors of each term in the expression 15 + 20 x? 15: 1, 3, 5, 15 20x: 1, 2, 4, 5, 10, 20, x 15: 1, 3, 5, 15 20x: 1, 2, 4, 5, 10, 20 15: 3, 5 20x: 4, 5, x 15: 1, 3, 5 20x: 1, 2, 4, 5, 10, x
Answer:
15: 1 3 5 15
20: 1 2 4 5 10 20
Step-by-step explanation:
This assumes you are only factoring the coefficients of the expression. Using this assumption, we simply create a list of factors of the coefficients.
15 -> 1 * 15, 3 * 5 --> 1 3 5 15
20 -> 1 * 20, 2 * 10, 4 * 5 --> 1 2 4 5 10 20
If you don't assume factoring of just the coefficients, then 20x factors
20x: 1 2 4 5 10 20 x
Cheers.
Answer:
b
Step-by-step explanation:
HELP!
If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?
A. 42cm
B. 36cm
C. 35cm
D. 18cm
The height of the altitude h is 18 cm.
What is an altitude?Altitude is the vertical height of an object above some chosen level.
To calculate the length of the altitude h, we use the formula below
Formula:
h = 3v/l²................ Equation 1Where:
v = Volume of the pyramidl = Length of the baseh = length of the altitudeFrom the question,
Given:
v = 216 cm³l = 6 cmSubstitute these values into equation 1
h = 3×216/6²h = 18 cmHence, the right option is D. 18 cm.
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g(x)=x2+4 make a table of values
Answer:
Step-by-step explanation:
You can make a table of values by plugging in values to x^2+4.
If x=1 the answer is 5
If x=2 the answer is 8
If x=3 the answer is 13
If x=4 the answer is 20
If x=5 the answer is 25.
And we have a table of values!
when considering whether or not to pursue a career with a particular organization, a student researches the company for which they are applying for a position at. in a pamphlet provided to potential employees, the company boasts of the average salary of current employees. is the average salary of an employee at a large corporation the best measure of center? group of answer choices the average is the best measure of center, because the salaries are likely skewed. the average is not the best measure of center, because the salaries are likely skewed. the average is the best measure of center, because the salaries are likely symmetric. the average is not the best measure of center, because the salaries are likely symmetric.
The average is not the best measure of center because the salaries are likely skewed.
The choice of the best measure of center depends on the distribution of the data. If the distribution is symmetric, the average (mean) can be a good measure of center. However, if the distribution is skewed, the average may not accurately represent the typical salary.
In the case of salaries at a large corporation, it is likely that the distribution of salaries is skewed. This is because there may be a few high-earning employees who significantly increase the average salary, while the majority of employees earn lower salaries. In such cases, using the average as a measure of center can be misleading.
Alternative measures of center that may be more appropriate for skewed distributions include the median (middle value) or the mode (most frequent value).
The average is not the best measure of center for salaries at a large corporation because the salaries are likely skewed. Other measures such as the median or mode may provide a better representation of the typical salary.
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Alex has $35 to spend on a trip to the bowling alley. Shoe
rental is $5.00 for the day and each game costs $6.00.
Coefficient Variable Operation Constant
Total
Answer:
Coefficient is 6
Variable is $
Operation = + and x
Constant = 6x+5
Where x represents the amount of game(s).
Step-by-step explanation:
Boden is making a prize wheel for the school fair. The diagram shows the ratio of winning spaces to non-winning spaces.
Based on the diagram which shows the ratio of winning spaces to non-winning spaces, the missing values in the table are;
Total spaces = 22Winning spaces = 15RatioWinning spaces = 5non-winning spaces = 6Total spaces = 5 + 6
= 11
Find total spaces if winning spaces is 10
5 : 6 = 10 : x
5/6 = 10/x
5×x = 10×6
5x = 60
x = 60/5
x = 12
Non-winning spaces = 12
Total spaces = 10 + 12
= 22
If total spaces = 33
Winning spaces ;
5 / 11 = x/33
5 × 33 = 11×x
165 = 11x
x = 165/11
x = 15
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suppose that on a summer evening, shooting stars are observed at a poisson rate of one every 12 minutes. what is the probability that three shooting stars are observed in 30 minutes?
The probability of observing three shooting stars in 30 minutes is approximately 0.2139 or 21.39%.
Step-by-step explanation:
Let X be the number of shooting stars observed in 30 minutes. Since the shooting stars are observed at a Poisson rate of one every 12 minutes, the expected number of shooting stars observed in 30 minutes is:
λ = (30 minutes) / (12 minutes per shooting star) = 2.5
Using the Poisson distribution, the probability of observing three shooting stars in 30 minutes is:
P(X = 3) = (e^(-λ) * λ^3) / 3!
= (e^(-2.5) * 2.5^3) / 6
= 0.2139
Therefore, the probability of observing three shooting stars in 30 minutes is approximately 0.2139 or 21.39%.
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Find the 8th term of the geometric sequence 6, -12, 24, ...
Answer:
-768
Step-by-step explanation:
a₈ = 6 * (-2)⁷ = - 768
A constant force of 56 pounds is applied at an angle of 35º to pull a 16 foot metal door shut. How much work is done?
a
513.9 ft-lbs
b
734.0 ft-lbs
c
−383.7 ft-lbs
d
−809.7 ft-lbs
(b) 734.0 ft-lbs of work is done.
To find the work done by the force, we need to use the formula:
Work = force x distance x cos(θ)
where:
force = 56 pounds (the given constant force)
distance = 16 feet (the distance the door is being pulled)
θ = 35 degrees (the angle between the force and the displacement of the door)
We need to convert the angle to radians to use it in the formula:
theta = 35 degrees x (pi/180) = 0.6109 radians
Now we can substitute the values into the formula:
Work = 56 pounds x 16 feet x cos(0.6109 radians)
Work = 734.0 ft-lbs (rounded to one decimal place)
Therefore, the answer is (b) 734.0 ft-lbs.
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i need help on these 2 questions
Which inequalities are true when m= -4
The inequailty y < m + 4 would be true when m = -4 and all values of y are less than 0
Which inequalities are true when m= -4From the question, we have the following parameters that can be used in our computation:
The statement that m = -4
The above value implies that we substitute -4 for m in an inequality and solve for the other variable (say y)
Take for instance, we have
y < m + 4
Substitute the known values in the above equation, so, we have the following representation
y < -4 + 4
Evaluate
y < 0
This means that the inequailty y < m + 4 would be true when m = -4 and all values of y are less than 0
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A portfolio of claims contains 10 each of bodily injury, property damage, worker's compensation and comprehensive claims. Five claims are randomly drawn from this portfolio. Find the probability that the selected claims contain exactly three claims from one coverage and exactly two claims from one of the other coverages.
The value of P is approximately 0.0082027.
To find the probability of selecting exactly three claims from one coverage and exactly two claims from one of the other coverages, we need to calculate the total number of ways to choose three claims from one coverage and two claims from another coverage, and divide it by the total number of ways to choose five claims from the portfolio.
First, let's calculate the total number of ways to choose three claims from one coverage and two claims from another coverage. We have 10 bodily injury claims and 10 property damage claims to choose from, so the number of ways to choose three claims from one coverage is 10 choose 3 (denoted as C(10, 3)), and the number of ways to choose two claims from another coverage is 10 choose 2 (denoted as C(10, 2)). Multiplying these two combinations gives us the total number of ways to choose three claims from one coverage and two claims from another coverage.
Next, let's calculate the total number of ways to choose five claims from the portfolio. We have a total of 10 bodily injury claims, 10 property damage claims, 10 worker's compensation claims, and 10 comprehensive claims to choose from, so the number of ways to choose five claims from the portfolio is 40 choose 5 (denoted as C(40, 5)).
Finally, to find the probability, we divide the total number of ways to choose three claims from one coverage and two claims from another coverage by the total number of ways to choose five claims from the portfolio.
Therefore, the probability that the selected claims contain exactly three claims from one coverage and exactly two claims from one of the other coverages can be calculated as:
P = (C(10, 3) * C(10, 2)) / C(40, 5)
P = (C(10, 3) * C(10, 2)) / C(40, 5)
ChatGPT
To solve the expression P = (C(10, 3) * C(10, 2)) / C(40, 5), we can substitute the values into the combination formulas and perform the calculations:
C(10, 3) = 10! / (3!(10-3)!) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120
C(10, 2) = 10! / (2!(10-2)!) = 10! / (2! * 8!) = (10 * 9) / (2 * 1) = 45
C(40, 5) = 40! / (5!(40-5)!) = 40! / (5! * 35!) = (40 * 39 * 38 * 37 * 36) / (5 * 4 * 3 * 2 * 1) = 658,008
Now, we can substitute these values into the expression:
P = (C(10, 3) * C(10, 2)) / C(40, 5) = (120 * 45) / 658,008
Performing the calculation:
P = 5,400 / 658,008
Simplifying the fraction:
P ≈ 0.0082027
Therefore, the value of P is approximately 0.0082027.
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What is 7/8 pound divided by 1/4 pound?
Answer:
3.5 pounds
Step-by-step explanation:
7/8 / 1/4 =7/8*4=7/2=3.5