Answer:
The answer is 8 please Brainlist me
Step-by-step explanation:
6^2+h^2=10^2
36+h^2=100
Solving for h gives 8
Answer:
height = 8
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
with hypotenuse = 10 and legs 12 ÷ 2 = 6 and height h , then
h² + 6² = 10²
h² + 36 = 100 ( subtract 36 from both sides )
h² = 64 ( take square root of both sides )
h = \(\sqrt{64} \) = 8
Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given f(x) and g(x) two polynomial functions in the standard form of the polynomial,
According to Closure Property, when something is closed, the output will be the same as the input.
The polynomials f(x) and g(x) can be seen in the image.
On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.
Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.
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Complete question:
(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT
A work sampling study is to be performed on an office pool consisting of 10 persons to see how much time they spend on the telephone. The duration of the study is to be 22 days, 7hr/day. All calls are local. Using the phone is only one of the activities that members of the pool accomplish. The supervisor estimates that 25% of the workers time is spent on the phone. (a) At the 95% confidence level, how many observations are required if the lower and upper limits on the confidence interval are 0.20 and 0.30. (b) Regardless of your answer to (a), assume that 200 observations were taken on each of the 10 workers (2000 observations total), and members of the office pool were using the telephone in 590 of these observations. Construct a 95% confidence interval for the true proportion of time on the telephone. (c) Phone records indicate that 3894 phone calls (incoming and outgoing) were made during the observation period. Estimate the average time per phone call.
coreect answer is (a) A minimum of 385 observations are required at the 95% confidence level to estimate the time spent on the phone in the office pool.
What is the required sample size at a 95% confidence level to estimate phone usage in an office pool through work sampling?
we consider the desired confidence level, to determine the required number of observations, estimated proportion, and margin of error. With the supervisor's estimate that 25% of the workers' time is spent on the phone, we use a formula to calculate the sample size. Using a 95% confidence level and the given lower and upper limits, the margin of error is determined as 0.05. Plugging these values into the formula, we find that a minimum of 385 observations are needed to estimate the time spent on the phone with 95% confidence.
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Simplify the expression -4x(6x − 7).
Answer: -24x^2+28x
Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x
An expression is given
3(3 squared2 -4)
Answer:
0.728 to nearest thousandth.
Step-by-step explanation:
3(3 squared2 -4)
= 9√2 - 12
= 0.728 to nearest thousandth.
Solve the logarithmic equation. 2ln(x−7)=ln(x+17)+ln4 What is the equivalent algebraic equation that must be solved? A. 2(x−7)=4(x+17) B. 2(x−7)=(x+17)+4
C. (x−7) 2=(x+17)+4
D. (x−7) 2=4(x+17) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x= (Simplify your answer. Use a comma to separate answers as needed.) B. There is no solution.
required answer is x - 7 = 4x + 68x - 3 = 0
x = 3/8. So, the correct choice is A. x=3/8, after using logarithms property.
Given logarithmic equation is 2 ln(x-7) = ln(x+17) + ln4.
To find the equivalent algebraic equation that must be solved, we can use the following rules:
log a + log b = log(ab) and log a - log b = log(a/b).
Using these rules, we can simplify the given equation as follows:
2 ln(x-7) = ln(4(x+17))ln(x-7)^2
= ln(4(x+17))x-7 = e^[ln(4(x+17))]x-7
= 4(x+17)x-7 = 4x+68x
= -75x= -75/8
Therefore, the equivalent algebraic equation that must be solved is (x-7) = 4(x+17).
Simplifying this equation, we get:
x - 7 = 4x + 68x - 3 = 0
x = 3/8.So, the correct choice is A.
x=3/8.
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x^2 - 18x - 19 = 0
This is the equivalent algebraic equation that must be solved.
To find the value of x, you can use factoring, completing the square, or the quadratic formula.
To solve the logarithmic equation 2ln(x−7)=ln(x+17)+ln4, we need to rewrite it in an equivalent algebraic equation.
Using logarithmic properties, we can simplify the equation as follows:
2ln(x−7) = ln(x+17) + ln4
Applying the property of logarithms that states ln(a) + ln(b) = ln(ab), we can combine the two logarithms on the right side:
2ln(x−7) = ln[(x+17) * 4]
Now, we can simplify further:
ln[(x−7)^2] = ln[4(x+17)]
To eliminate the natural logarithm, we equate the arguments inside the logarithms:
(x−7)^2 = 4(x+17)
Expanding the square on the left side:
x^2 - 14x + 49 = 4x + 68
Simplifying the equation:
x^2 - 18x - 19 = 0
This is the equivalent algebraic equation that must be solved.
To find the value of x, you can use factoring, completing the square, or the quadratic formula.
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if we have 765 toys and there are 3 people how many toys should we give to each man
Answer:
255 is the answer
Step-by-step explanation:
Divide 765 by 3 and the answer will come .
Hope it will help u
which best describes the lower endpoint of a confidence interval? group of answer choices margin of error point estimate plus margin of error point estimate minus margin of error point estimate
On solving the provided question, we cans ay that the percentage of people that vote in favour is required by the random variable supplied in b, making that option the best one.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though.
We estimate the parameter based on the sample values when the parameter is unknown. A point estimate is used to estimate the unknown parameter and is a function of sample values. Additionally, we are aware that statistic refers to the function of sample values. If a confidence interval is described as having a lower endpoint equal to the point estimate minus the margin of error, then
The proportion is used to calculate the percentage of people who possess a given quality. Since the random variables in letters a, c, and d are numerical, the confidence interval for the mean will be applied to them.
Additionally, the percentage of people that vote in favour is required by the random variable supplied in b, making that option the best one.
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A friend ate 2/3 of a small muffin and his friend ate 2/3 of a large muffin, did they eat the same amount?
Answer:
no, because both muffins are different sizes, meaning that if a friend ate 2/3 of a small muffin than that would be different
Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council’s GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the GMAT?HOW HIGH MUST AN INDIVIDUAL SCORE ON THE G-MAT IN ORDER TO BE THE HIGHEST 5%
The probability of an individual scoring above 500 on the GMAT is 0.5984.
What is Normal Distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.
Given:
\(\mu\) = 527
\(\sigma\) = 112
Now, z= (500-527)/112
z= -27/112
z= -0.2410
and, P( X>500)= P(z> -0.2401)
= 1- 0.4052
= 0.5984
Hence, the probability of an individual scoring above 500 on the GMAT is 0.5984.
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Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation. What is the scale factor of the dilation? One-third 3 4 One-fourth
Answer:
The scale factor is 4
Step-by-step explanation:
This question requires an attachment; I'll answer this question using the attached figure
From the attachment
Length OA = 3 units
Length OA' = 3 units + 9 units
Length OA' = 12 units
Scale Factor is calculated as follows;
\(Scale\ Factor = \frac{New\ Side}{Original\ Side}\)
Given that the original shape is ABC, the original side will be OA
Hence, Original Side = 3 units
New Side = OA' = 12 units
The formula becomes
\(Scale\ Factor = \frac{12\ units}{3\ units}\)
\(Scale\ Factor = 4\)
Hence, the scale factor is 4
Answer:
4
Step-by-step explanation:
Just clarifying
You are considering investing in a security that will pay you $3,000 in 34 years. a. If the appropriate discount rate is 8 percent, what is the present value of this investment? b. Assume these investments sell for $773 in return for which you receive $3,000 in 34 years. What is the rate of return investors earn on this investment if they buy it for $773? a. If the appropriate discount rate is 8 percent, the present value of this investment is $ 219.13. (Round to the nearest cent.) b. The rate of return investors can earn on this investment if they buy it for $773 is %. (Round to two decimal places.)
In this scenario, we are considering an investment that will pay $3,000 in 34 years. We are given an appropriate discount rate of 8 percent. To determine the present value of this investment, we can use the present value formula. Additionally, we are provided with the information that the investment is being sold for $773, and we need to calculate the rate of return investors will earn on this investment.
a. Present value of the investment:
To calculate the present value of the investment, we use the present value formula:
Present Value = Future Value / (1 + Discount Rate)^n,
where Future Value is $3,000, the Discount Rate is 8 percent (0.08), and n is the number of years, which is 34 in this case.
Present Value = $3,000 / (1 + 0.08)^34 = $219.13
Therefore, the present value of the investment, considering an 8 percent discount rate, is $219.13.
b. Rate of return on the investment:
The rate of return on an investment is calculated using the formula:
Rate of Return = (Future Value - Purchase Price) / Purchase Price * 100,
where Future Value is $3,000 and the Purchase Price is $773.
Rate of Return = ($3,000 - $773) / $773 * 100 ≈ 288.46%
Therefore, the rate of return investors can earn on this investment, if they buy it for $773, is approximately 288.46%.
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Please help me out :P
First one is: Linear
Second one is: f(x)=400-4x
Make me brainliest pls if I got it right :<
You arrive in Paris with $800. How many Euros do you have to spend? ($1 = 0.9033
euros as of November, 2016)
Answer:
722.64 euros
Step-by-step explanation:
800 x .9033 is 722.64
Help me please like plase
Answer:
Adjacent angles.
Step-by-step explanation:
a and b are next to each other on a straight line.
chegg if the objective function is q=x^2 y and you know that x+y=22. write the objective function first in terms of x then in terms of y
The objective function q=\(x^{2}\) y can be written as q=\(x^{2}\)(22-x) in terms of x, and as q=\((22-y)^2\) y in terms of y, given that x+y=22.
To write the objective function first in terms of x, we need to solve the equation x+y=22 for y. Subtracting x from both sides, we get y=22-x. We can then substitute this expression for y into the objective function q=\(x^{2}\) y, giving q=\(x^2(22-x)\).
To write the objective function in terms of y, we need to solve the equation x+y=22 for x. Subtracting y from both sides, we get x=22-y. We can then substitute this expression for x into the objective function q=\(x^{2}\) y, giving q=\((22-y)^2\) y.
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Adam and Shane are competing to see who can save the most money in one month. Which statement gives a correct comparison of their rate of savings? A) Shane is saving $1 more than Adam per day. B) Adam is saving $1 more than Shane per day. C) Adam and Shane are both saving $2 per day. D) Adam and Shane are both saving $3 per day.
Statement which gives a correct comparison of their rate of savings is "A) Shane is saving $1 more than Adam per day."
The rate of savings per week can be determined by examining the slope of the equations. In this scenario, Adam saves $3 per week, and Shane saves $4 per week. The slope of a line represents the tangent angle it forms with the horizontal axis, denoted as m = tan(x), where x is in degrees. It is also defined as the rate of change of a function.
Now, considering the competition between Adam and Shane to see who can save the most money in one month, we observe that Adam's savings follow a linear function given by the slope-intercept form equation y = 3x + 3. However, the linear function for Shane's savings is not explicitly provided, so we assume it as y = 4x.
In both equations, the slopes represent the rate at which they save money per week, with Adam saving $3 per week and Shane saving $4 per week.
Therefore, statement "A) Shane is saving $1 more than Adam per day" is correct.
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Write and solve the differential equation that models the verbal statement. (Use k for the constant of proportionality.) The rate of change of N with respect to s is proportional to 924−s.
ds
dN
= N=
The solution to the differential equation that models the given verbal statement is: N = -k * (462s - s^2) + C. This equation represents the relationship between N and s, where the rate of change of N with respect to s is proportional to 924−s.
To write and solve the differential equation that models the given verbal statement, let's break it down step by step:
1. The rate of change of N with respect to s: This means we need to find the derivative of N with respect to s.
2. Proportional to 924−s: This means that the rate of change of N with respect to s is directly proportional to 924−s. In other words, the derivative of N with respect to s is equal to some constant multiplied by 924−s.
Let's represent the constant of proportionality as k.
Now, we can write the differential equation as follows:
dN/ds = k * (924−s)
To solve this differential equation, we need to separate the variables and integrate both sides.
First, let's separate the variables:
dN = k * (924−s) * ds
Next, let's integrate both sides:
∫dN = ∫k * (924−s) * ds
Integrating both sides gives us:
N = -k * (462s - s^2) + C
where C is the constant of integration.
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2. What is the value of x in the following figure?
520
A. 38°
B. 52°
C. 128°
D. 1420
Answer:
38
Step-by-step explanation:
180 - (90 + 52)
180-142= 38
The base of a triangle is increasing at a constant rate of 2 cm/s and its height is decreasing at a rate of 1 cm/s. What is the rate of change of the area of the triangle (in cm2/s), at the instant when the height is 5 cm and the area is 5 cm2? (A) 2 (B) 4 (C) 6 (D) 8
The rate of change of the area of the triangle at the given instant is 4 cm²/s. Thus, the correct answer is (B) 4. The rate of change of the area of the triangle can be determined using the formula for the area of a triangle, which is A = (1/2) * base * height.
We are given that the base is increasing at a constant rate of 2 cm/s and the height is decreasing at a rate of 1 cm/s.
At the instant when the height is 5 cm and the area is 5 cm², we can substitute these values into the formula to solve for the rate of change of the area. Let's denote the rate of change of the area as dA/dt.
A = (1/2) * base * height
5 = (1/2) * base * 5
Simplifying the equation, we have:
base = 2
Now, we can differentiate both sides of the equation with respect to time (t):
dA/dt = (1/2) * (dbase/dt) * height + (1/2) * base * (dheight/dt)
Substituting the given rates of change:
dA/dt = (1/2) * (2 cm/s) * 5 cm + (1/2) * 2 cm * (-1 cm/s)
Simplifying further:
dA/dt = 5 cm^2/s - 1 cm^2/s
dA/dt = 4 cm^2/s
Therefore, the rate of change of the area of the triangle at the given instant is 4 cm^2/s. Thus, the correct answer is (B) 4.
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find the value of x and y if (2x + 3y , 2x ) = (20,x +4)
Answer:
X=4 and y=4
Step-by-step explanation:
Equate the corresponding coordinate and solves it simultaneously
Solve the equation
(please show work if possible)
Answer:
-10
Step-by-step explanation:
imma be honest all i do is put in different numbers until it is right. But the way to do it is subract 2 by puting it under the negative 3 and you get -5. then multiply the 2 by putting it under the -5. you get -10. and the answer will read r = -10. Therefore r is -10
Answer:
I’m sorry I thought I saw a positive 3, The correct answer would be -10.
Joe drives 20 mi in 2 h. How long will
it take him to drive 50 mi?
Answer:
5 hours
Step-by-step explanation:
First of all, Joe goes 20 mi per 2 hours. If you divide the 20 by 2, it takes Joe 1 hr to drive 10 mi. So, If you add 2hr by 2 hr, then you get 4 o mi. Then, add 1 more hour, then you get 20+20+10=50. It takes him 5 hours to go 50 mi.
45 POINTS FOR SOLVING THIS!!
Answer:
157.98 \(in^2\)
Step-by-step explanation:
Given: volume of pyramid is equal to 100 cubic inches and height of the pyramid is 5 inches
To find: surface area of the pyramid
Solution:
Let h denotes the height of the pyramid and 'a' denotes side of the square base of the pyramid.
Volume of the pyramid = \(\frac{1}{3}a^2h\)
Also,
Volume of the pyramid = 100 cubic inches
\(\frac{1}{3}a^2h=100\\\frac{1}{3}a^2(5)=100\\a^2=\frac{100\times 3}{5}=60\\a=\sqrt{60}\)
Surface area of the pyramid \((S) =a\sqrt{4h^2+a^2}+a^2\)
So,
\(S=\sqrt{60}\sqrt{100+60}+60\\=\sqrt{60}\sqrt{160}+60\\=\sqrt{9600}+60\\=97.9796+60\\=157.9796\\\approx 157.98\)
Surface area = 157.98 \(in^2\)
Answer:
Surface area of the pyramid = 157.99 in²
Step-by-step explanation:
Volume of a pyramid is given by the formula,
Volume = \(\frac{1}{3}(\text{Area of the base})\times \text{height}\)
100 = \(\frac{1}{3}\text{(Side)}^{2} \times \text{height}\)
300 = s² × 5
s² = 60
s = √60
s = 2√15 in ≈ 7.746 in
Now surface area of the pyramid = Area of base + 4×(Area of one lateral side)
Area of square base = (Side)² = 60 in
Area of one lateral side = \(\frac{1}{2}(\text{Base})(\text{Lateral height})\)
Since Lateral height = \(\sqrt{(h)^{2}+(\frac{S}{2})^{2}}\) [By applying Pythagoras theorem in the given triangle]
= \(\sqrt{(5)^{2}+(3.873)^{2}}\)
= \(\sqrt{25+15}\)
= \(\sqrt{40}\)
= 6.325 in.
Now area of lateral side = \(\frac{1}{2}(7.746)(6.325)\)
= 24.497 in²
Surface area of the pyramid = 60 + (4×24.497)
= 60 + 97.987
= 157.987 in²
≈ 157.99 in²
The sum of a number and the quantity seven times the reciprocal of the number.
Answer:
Hey there!
The reciprocal of a number, n, is 1/n.
Thus, the answer is n+7(1/n)
Let me know if this helps :)
There are 9 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?
In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $10. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to one decimal place. Provide the point estimate and margin or err
Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.
To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.
To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.
Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.
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Taylor made
8
88 ruby bracelets. She used
6
66 rubies to make each bracelet. What does the expression
8
×
6
8×68, times, 6 represent?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Number of rubies in each bracelet
(Choice B)
B
Number of rubies in all
(Choice C)
C
Number of bracelets
The expression 8 × 68 × 68 × 6 represents the number of rubies in all the bracelets made by Taylor.
Choice B: Number of rubies in all
To understand why this is the correct answer, let's break down the expression.
Taylor made 888 ruby bracelets. Each bracelet required 666 rubies.
The first part of the expression, 8 × 68 × 68, represents the number of bracelets made. Since there are 8 sets of 68 × 68 (which is 4,624), this gives us a total of 8 × 4,624 = 36,992.
The second part, multiplying by 6, represents the number of rubies in each bracelet. Since each bracelet requires 666 rubies, multiplying by 6 gives us a total of 6 × 666 = 3,996.
Putting it all together, the expression 8 × 68 × 68 × 6 represents the number of rubies in all the bracelets, which is 36,992 × 3,996 = 147,694,592 rubies. Therefore, Choice B is the correct answer.
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Hi can someone please help me with question 4.
4. With the aid of examples, explain how the traditional system attempts to solve the three central economic questions.
The traditional economic system attempts to solve the three central economic questions through customs, traditions, and long-standing practices. These questions include what to produce, how to produce it, and for whom to produce. The system relies on the allocation of resources based on cultural norms, historical practices, and inherited roles within the society.
In a traditional economic system, the answers to the three central economic questions are derived from customs and traditions that have been followed for generations. Let's take a look at each question and how the traditional system addresses them:
What to produce:
In a traditional system, the choice of what to produce is guided by the needs and preferences of the community. Economic activities are often centered around meeting the basic necessities of life, such as food, clothing, and shelter. For example, a community engaged in agriculture may primarily produce crops and livestock to sustain themselves.
How to produce:
The traditional system relies on established methods and techniques that have been passed down through generations. Production methods are often based on the knowledge and skills of the community. For instance, traditional crafts and artisanal skills are practiced using traditional tools and techniques.
For whom to produce:
In a traditional system, the distribution of goods and services is typically based on social roles, kinship ties, and communal practices. Resources are shared within the community based on customs and traditions that prioritize the well-being and needs of the collective. For example, in some traditional societies, elders or leaders may receive preferential access to resources.
Overall, the traditional economic system seeks to address the three central economic questions by relying on cultural values, customs, and traditions that shape resource allocation, production methods, and distribution within the community.
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solve each equation using an array 3542 x 8 =
The Solution:
We are required to Use the array strategy to multiply the numbers given below:
\(3542\times8\)Therefore, the correct answer is 28,336