a = 38
b = 58
c = 73
[use the Law of Cosines]
cos(A) = b² + c² - a² / 2bc
cos(B) = c² + a² - b ² / 2ca
cos(C) = a² + b² - c² / 2ab
[substitute the values]
∡A = 52.09
∡B = 31.12
∡C = 96.79
Impulses in nerve fibers travel at a speed of 293 . The distance D, in feet, traveled at t sec is given by D293t. How long would it take an impulse to travel from the brain to the toes of a person who is 4.3 ft tall?
Therefore, an impulse would take approximately 0.0147 seconds to travel from the brain to the toes of a person who is 4.3 feet tall.
The equation D = 293t gives the distance D in feet covered by an impulse in t seconds, where the speed is 293 feet per second.
We can use this equation to find how long an impulse would take to travel from the brain to the toes of a person who is 4.3 feet tall.
If the person is 4.3 feet tall, we can assume that the distance between the brain and the toes is also 4.3 feet.
Therefore, we can substitute D = 4.3 feet into the equation and solve for t:
D = 293t4.3
= 293tt
= 4.3 / 293t ≈ 0.0147 seconds
It would take an impulse approximately 0.0147 seconds to travel from the brain to the toes of a person who is 4.3 feet tall.
The equation D = 293t gives the distance D in feet covered by an impulse in t seconds, where the speed is 293 feet per second.
If the person is 4.3 feet tall, we can assume that the distance between the brain and the toes is also 4.3 feet.
Therefore, we can substitute D = 4.3 feet into the equation and solve for t: D = 293t4.3 = 293tt = 4.3 / 293t ≈ 0.0147 seconds.
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Based on past experience, a bank believes that 8% of the people who receive loans will make payments on time. The bank has recently approved 600 loans. Describe the sampling distribution model of the proportion of clients in this group who may not make timely payments.A. There is not enough information to describe the distributionB. mean = 92%; standard deviation = 0.3%C. mean = 92%; standard deviation = 1.1%D. mean = 8%; standard deviation = 0.3%E. mean = 8%; standard deviation = 1.1%
The sampling distribution model for figuring out how many people in this group might not pay on time is:
E. mean = 8%; standard deviation = 1.1%.
Sampling Distribution Model MeanThe steps to determine the mean and standard deviation of the sampling distribution of the proportion of clients who may not make timely payments would be:
Start with the idea that 8% of the loans will have payments that are late. So the percentage of people who pay late is p = 0.08.
Calculate the sample size, which is given as n = 600.
Determine the mean of the sampling distribution. The mean of the sampling distribution of the proportion of late payments is equal to the population proportion, which is 0.08.
Find the standard deviation of the distribution of the samples. The standard deviation is discovered by taking the square root of the commodity of the sample size and the percentage of late payments in the whole population (1 - percentage of late payments in the whole population) and dividing it by the sample size:
σ = √( (p * (1-p)) / n )
Substituting the values for p and n, we get:σ = √( (0.08 * 0.92) / 600 ) ≈ 0.011
So the standard deviation of the sampling distribution is approximately 0.011, or 1.1%.So, the answer will be option E. mean = 8%; standard deviation = 1.1%.
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Solve for the following
What is the value of (5r + 1/5)2 when r = 0?
Answer:
Hi! The answer to your question is 1
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
A function assigns the values. The value of (5r+1/5)² when the value of r is 0 equals 0.04.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function g(r)=(5r+1/5)², therefore, the value of the function when r=0 will be,
g(r) = (5r+1/5)²
g(0) = [5(0)+1/5]²
g(0) = (1/5)²
g(0) = 1/25
g(0)=0.04
Hence, the value of (5r+1/5)² when the value of r is 0 equals 0.04.
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Solve for x
x/2 + 7 = 41
Find the slope of the line.Enter your answer in simplist form (-6,10) (-3,-2)
Answer:
-4
Step-by-step explanation:
I know this becasue I did it before but also becasue I checked my work with a slope calculator. You should use one if you don't want to hand do the work. If you do want to do the work it is y2-y1 over x2-x1 :)
Solve the inequality: x^2 ·(x +9)·(x −5)≥0
Answer:
OH GOD
WHAT TYPE OF DEMON MATH IS THIS
Step-by-step explanation:
sorry but tbh i have NO FRICKING CLUE!!!
Answer:
Please look at the pic that is your answer.
Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.
The average velocity from t = 2s to t = 4s would be - 48 ft/s.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.
Average velocity
Average rate of change of velocity with time is called average velocity. Mathematically -
v{avg.} = Δx/Δt .... Eq { 1 }
Δx = x(4) - x(2)
Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}
Δx = - 96
Δt = 4 - 2 = 2
So -
v{avg.} = Δx/Δt = -96/2 = - 48 ft/s
Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.
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Composite primary keys are particularly useful as identifiers of composite entities, where each primary key combination is allowed _____ in the m:n relationship.
Composite primary keys are particularly useful as identifiers of composite entities, where each primary key combination is allowed "once" in the m:n relationship.
What is identifiers?In C#, an identifier is a user-defined name for a program element.
Some key features regarding the identifiers are-
A namespace, class, method, variable, or interface can all be used.Identifiers are symbols that are used in code to identify a specific a program element. Types, constants, macros, and parameters are also mentioned. An identifier title should describe the meaning and application of the element to which it refers.C# is a compiled programming language with an implementation in which identifiers are really only compile-time entities. During runtime, each identifier would be referred to by the memory location and offset assigned by the compiler towards its textual identifier token. A verbatim identifier is one that begins with the letter "at the rate."To know more about identifiers, here
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Who can help me please
Answer:
1) the first choice
2) the first choice
Step-by-step explanation:
1) "<" means less than, so if she wants to spend less than $300 that's your answer
2) "5x" means 5 times however many hours she chooses to have her carpet cleaned, so this is correct as well as the less than 300.
hope this helps <3
Write a variable expression for each phrase
1. M more than nineteen
2. 8 less than z
3. N divided by 3
4. 3 divided by n
5. The sum of 5 and a
6. Thirty-two times g
No links
Answer:
1.M+19
2. Z-8
3. N/3
4. 3/N
5. 5+a=x
6. 32g
Which fraction correctly shows the probability of14 favorable outcomes and 37 possible outcomes?
Answer: 14/37
Step-by-step explanation:
What number is 7 units to the left of -1?
Answer:
-8 I think on a graph right
Answer:
-8
Step-by-step explanation:
on a number line -1 is one unit away add we just add 7 units. To get -8!
HELP PLEASE ! Factor the polynomial completely.
18x^2y-2y
Answer:
2y( 3x-1)(3x+1)
Step-by-step explanation:
18x^2y-2y
Factor out the greatest common factor 2y
2y( 9x^2 -1)
The term in the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
2y( 3x-1)(3x+1)
Events D and E are independent, with P(D)- 0.6 and P(D and E) - 0.18. Which of the following is true? A. P(E)- 0.12 B. P(E) = 0.4 C. P(D or E)-0.28 D. P(D or E) 0.72 E. P(D or E)-0.9
The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.
To determine the correct answer, let's analyze the given information.
We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.
Given:
P(D) = 0.6
P(D and E) = 0.18
Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:
P(D and E) = P(D) * P(E)
Substituting the given values:
0.18 = 0.6 * P(E)
To find the value of P(E), we can rearrange the equation:
P(E) = 0.18 / 0.6
P(E) = 0.3
Therefore, the correct answer is A. P(E) = 0.3.
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let h of x equals the integral from negative 5 to x of negative 4 times quantity t minus 2 close quantity squared plus 8 dt. where does h(x) have a relative minimum?
The relative minimum of h(x) occurs at x = 2. Integrals can be used to solve a wide range of problems in mathematics and physics, such as finding the area under a curve
An integral is a mathematical concept that involves the concept of integration, which is a way to find the area under a curve or the volume of a solid of revolution. Integrals can be classified into two types: indefinite integrals and definite integrals.
To find the relative minimum of the function h(x), we need to find the value of x that minimizes the value of h(x).
First, let's find the derivative of h(x). We can do this by applying the chain rule to the function inside the integral:
\(h'(x) = (-4 * (t - 2)^2 + 8)' = (-4 * (t - 2)^2 + 8)' = -8 * (t - 2)\)
Next, we need to find the points where h'(x) = 0 or is undefined. Setting h'(x) = 0 and solving for t, we find that t = 2. Substituting this value back into the original expression for h(x), we get:
\(h(x) = -4 * (2 - 2)^2 + 8 = 8\)
Since h'(x) is undefined at t = 2, we need to check whether the function is increasing or decreasing at that point. To do this, we can take the second derivative of h(x):
\(h''(x) = (-8 * (t - 2))' = -8\)
Since the second derivative is negative at t = 2, this means that the function is decreasing at that point.
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Find an equation for the parabola that has its vertex at the origin and satisfies the given condition. Directrix y
The equation for a parabola with its vertex at the origin and a vertical directrix is y^2 = 4dx.
The equation for a parabola that has its vertex at the origin (0, 0) and satisfies a vertical directrix can be expressed as y^2 = 4dx, where d is the distance from the vertex to the directrix.
This equation represents a symmetric parabolic shape with its vertex at the origin and the directrix located above or below the vertex depending on the value of d. The coefficient 4d determines the width of the parabola, with larger values of d resulting in wider parabolas.
The equation allows us to determine the coordinates of points on the parabola by plugging in appropriate x-values and solving for y. It is a fundamental equation in parabolic geometry and finds applications in various fields such as physics, engineering, and mathematics.
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There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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The coin is flipped one more time. A tree diagram has been started for you to represent the possible outcomes. Determine the results from another coin flip. What is the probability that the coin lands heads up all three times?
Answer:
1/8
Step-by-step explanation:
Answer:
1/8 or option A for edge 2020
Step-by-step explanation:
I got it right in the warm up ^^
Hope this helps!!
Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.
Women make up 64% of the sample and are typically the household's main investment.
There is a correlation between American women and being the main provider in their home.
What is Descriptive Statistics?Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.
For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.
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The correct question is - Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.
PLEASE HELP ME!!!
Solve in substitution form step by step please
Answer:
3. (3,-4)
Step-by-step explanation:
Very confusing, please help
Answer:
A -2*-2 ≠- 4
Step-by-step explanation:
sqrt(-4)
The answer is an imaginary number
-2*-2 = 4 not -4
Answer:
\(\sqrt{-4} \neq -2 \\\) because -2 times -2 equals 4 not -4.
Therefore A. \(-2^{2}\neq 4\) is the answer to this question.
If you need help on similar problems feel free to ask, hope I helped :)
Evaluate the series 1 + 2 + 4 + 8 to S10.
The series to 10 term is
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
What is recurrent relation?An equation that represents a sequence based on a rule is called a recurrence relation.
Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.
The term is predicted by multiplying the preceding term by 2
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ck
What are the steps to divide 28.32/0.24?
Answer:
118 (Answer if you need ;-;)
Step-by-step explanation:
\(0.24\sqrt{28.32}\) --> \(24\sqrt{2832}\)
Step 1) Get rid of decimal points
### Now it's regular long division.
65 people like cricket or tennis .40 of them like cricket while 30 like cricket only .How many like tennis only?How many like tennis?
Answer:
The overlap is 40 - 30 = 10 which means 10 people like both. 65 - 40 = 25 people like tennis only and 25 + 10 = 35 people like tennis.
the number which best completes the sequence below is: 2 9 5 13 10 19 17
The number which best completes the sequence is 31.
To identify the pattern in this sequence, we can observe that it alternates between adding 7 and adding 4. Let's see this step by step:
1. 2 + 7 = 9
2. 9 + 4 = 13
3. 13 + 7 = 20
4. 20 + 4 = 24
5. 24 + 7 = 31
However, there's a discrepancy in the sequence provided: the number 5, which should have been 20, and the number 10, which should have been 24. With the corrected sequence, it should look like this: 2, 9, 20, 13, 24, 19, 17.
The best number to complete the corrected sequence is 31, following the pattern of alternately adding 7 and 4.
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The height of the rectangular prism is 2 m. If its volume is 72 cubic meters, what is the area of the base, in square meters?
Answer:
Base area is 36 square meters
Step-by-step explanation:
The volume of a rectangular prism is V = (height)(length)(width). We know all of these dimensions except for the area of the base, which is (length)(width).
Solving this equation for (length)(width), we get:
volume 72 m^3
(length)(width) = (area of base) = -------------- = ------------- = 36 m^2
height 2 m
Find the perimeter of a triangle with side lengths of
√80
√20, and √45
3 7th grade math questions please answer asap will give brainlist thingy
Answer:
1. Equation: x/-9=-16
solution: x=144
2. Equation:15*x=-75
solution: x=-5
3.Equation:0.75n=36
solution: n=48
Step-by-step explanation:
Find intervals of concavity for f(x) = 3 cos x, with 0 < x < 21. Show your work for full credit.
The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).
To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.
First, let's find the second derivative of f(x):
f'(x) = -3 sin x (derivative of cos x)
f''(x) = -3 cos x (derivative of -3 sin x)
Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:
When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.
When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
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