Answer:
18.84
Step-by-step explanation:
Hope this helps :)
Answer:
18.84
The equation for circumference is 2πr which means that you times 2 by pi and then the radius which is 6 divided by 2 so 3. Then you get 6π which is 18.84
What is the value of c? inscribed angles (Image down below)
Answer:
70
Step-by-step explanation:
C and 110° are opposite angles of a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
\( \therefore \: c \degree + 110 \degree = 180 \degree \\ \therefore \: c \degree = 180 \degree - 110 \degree \\ \therefore \: c \degree = 70 \degree \\ \therefore \: c = 70 \)
find the area of the composite figure below
please help
Answer:
240 yd³Step-by-step explanation:
The base of the prism is triangle with base of 6 yd and hight of 6 yd.
The hight of the prism is 10 yd.
Therefore, the volume of the prism:
\((\frac12\cdot8\cdot6)\cdot10=240\ yd^3\)
If ; gallon of paint covers ; of a wall, then how many
quarts of paint are needed for the entire wall?
Answer:
how many of a wall a galloon of paint cover?
Step-by-step explanation:
Please show steps to answer. No links please
Answer:
18 hours after 10 AM
Step-by-step explanation:
We are looking for the time the helicopter and the plane will be the same distance from Burbank after 10 AM.We are given the two equations for the distance that the helicopter and the plane are away, in miles.It also says that R is the variable for time.Using this information, we need to solve for the time with broth equations, so we would set both up to be equal to each other, since they will be the same distance away from each other.It would look like this: -150r + 260 = -270r + 440.Add 150r to both sides.260 = -10r + 440.Add -10r to both sides.Now we have 10r + 260 = 440Subtract 260 from both sides.10r = 180Divide each side by 10 to isolate the R.R = 18.It would be 18 hours after 10 AM.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Claire is 2 year younger than her sister. The
sum of ages is no less than 44 years. Write ar
inequality and find the youngest age Claire can
be.
23 years old
21 years old
24 years old
25 years old
Given:
Claire is 2 year younger than her sister.
The sum of ages is no less than 44 years.
To find:
Inequality and find the youngest age Claire can be.
Solution:
Let the age of Claire be x.
Her sister's age = x+2
Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.
\(x+(x+2)\geq 44\)
\(2x+2\geq 44\)
\(2x\geq 44-2\)
\(2x\geq 42\)
Divide both sides by 2.
\(x\geq 21\)
It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can be 21 years old.
Therefore, the required inequality is \(2x+2\geq 44\) and the correct option is B.
What is the amplitude of the function?
Given the midline and the minimum point, The amplitude of the trigonometric function is 2.3
How do we find the amplitude of the trigonometric function?To determine the amplitude of a trigonometric function, we need to consider the vertical distance between the midline and the maximum or minimum point. The amplitude represents half of this vertical distance.
In this case, the midline intersects at (2/3π, 1.2), and the minimum point is at (4/3π, -3.4).
The vertical distance between these two points can be calculated as:
Vertical distance = y-coordinate of the minimum point - y-coordinate of the midline
= (-3.4) - 1.2
= -4.6
Since the amplitude is half of this vertical distance, we have:
Amplitude = 1/2 × Vertical distance
= 1/2 × (-4.6)
= -2.3
Therefore, the amplitude of the trigonometric function is 2.3. Note that the amplitude is always a positive value.
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At a holiday camp, the ratio of boys to girls is 2/3 The ratio of girls to adults is 2/5 . Work out the ratio of children to adults at the holiday camp. Give your answer in the simplest form.
5 lots of 3:2 →5×(3:2)=(5×3):(5×2)=15:10
HOPE THIS HELPS
CAN U PLEASE GIVE ME BRAINLIEST
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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Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 30% of adults will have an IQ score higher than what value?
Step-by-step explanation:
Use z-score table to find the z-score that corresponds to .7000 ( 70%)
approx .525 s.d. above the mean
.525 * 10 = 5.25 points above 100 = 105.25
At what point do the curves and intersect? find their angle of intersection correct to the nearest degree.
The intersection of two curves is important because it marks the spot where the values of the two curves coincide. There are numerous applications for this.
What are angles?When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character.
The circularity or rotation of an angle is often measured in degrees and radians. Angles are a common occurrence in daily life. Angles are used by engineers and architects to create highways, structures, and sports venues.
When two rays are linked at their ends, they create an angle in geometry.
The sides or arms of the angle are what are known as these rays. Read on to learn about the various components of an angle.
Hence, The intersection of two curves is important because it marks the spot where the values of the two curves coincide. There are numerous applications for this.
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which graph shows the solution to the system of linear equations?
y=-1/3x+1
y=-2x-3
y = -1/3x + 1
y = -2x - 3
We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.
The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.
The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.
Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.
Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.
For the matrices in Problems 18-21, find all (real) eigenvalues. Then find a basis for each eigenspace, and find an eigenbasis, if you can. Do not use. r1. 1 Problem 21. (7.3/14)[ 1 0 0 ][ -5 0 2 ][ 0 0 1 ]
The eigenbasis for problem 21 is {[0, 0, 1]}.
To find the eigenvalues, we solve the characteristic equation:
|A - λI| = 0
where A is the matrix and I is the identity matrix of the same size.
For problem 21, we have:
A = [1 0 0; -5 0 2; 0 0 1]
I = [1 0 0; 0 1 0; 0 0 1]
So,
|A - λI| = det([1-λ 0 0; -5 0 2; 0 0 1-λ])
= (1-λ) det([0 2; 0 1-λ]) + 5 det([-5 2; 0 1-λ])
= (1-λ)(1-λ)(-5) + 5(-10)
= 25λ - 125
= 25(λ - 5)
Thus, the only eigenvalue is λ = 5.
To find the eigenvectors, we solve the system of equations:
(A - λI)x = 0
For λ = 5, we have:
(A - λI)x = [(1-5) 0 0; -5 (0-5) 2; 0 0 (1-5)]x = [-4 0 0; -5 -5 2; 0 0 -4]x = 0
This gives us the system of equations:
-4x1 = 0
-5x1 - 5x2 + 2x3 = 0
-4x3 = 0
From the first and third equations, we see that x1 = 0 and x3 = 0. Then the second equation reduces to:
-5x2 = 0
So, we have x2 = 0. Thus, the eigenspace for λ = 5 is spanned by the vector [0, 0, 1].
Since we only have one eigenvalue, we automatically have an eigenbasis. So, the eigenbasis for problem 21 is {[0, 0, 1]}.
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Complete the square
x^2 - 2x - 14 = 0
a salon emails customers, asking them to rate their experience during their last appointment.
what is the rest of the question?
solve the inequality 4x + 6 >8
Answer:
x > 1/2
Step-by-step explanation:
4x + 6 > 8
You need to isolate the variable. Subtract 6 from both sides.
4x > 2
Divide by 4
x > 1/2
Predict the number of times you roll an odd number or a two when you roll a six-sided number cube 300 times.
Answer:
The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times
Step-by-step explanation:
Answer: 400 TIMES
Step-by-step explanation:
1/6 +1/2
4/6
2/3
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: -3 13/40
Steps: (-⅛ + ⅖) - 3 ⅗
Convert mixed numbers to improper fractions: 3⅗ = 18/5
(-⅛ + ⅖) - 18/5
Remove the parentheses: -⅛ + ⅖ - 18/5
Find the common denominator which is 40.
So: -5/40 + 16/40 - 144/40
Since the denominators are equal, combine the fractions: -5 + 16 -144 divided by 40.
Add/ subtract the numbers: -5 + 16 - 144 = -133
= -133/40
Convert improper fractions to mixed numbers: 133/40 = 3 13/40
The answer is -3 13/40
Find the derivative of the function. 6) y = In (8x3 - x2) X 1 7) f(x) = In X
a)The derivative of y with respect to x is (24x² - 2x)/(8x³ - x²)
b) The derivative of f(x) = ln(x) is f'(x) = 1/x
a) The derivative of the given functions, I'll use the standard rules of differentiation. Here are the derivatives:
y = ln(8x³ - x²)
To find the derivative of this function, we'll use the chain rule. Let's denote the inner function as u = 8x³ - x². The derivative of u with respect to x is du/dx = 24x² - 2x. Now, applying the chain rule:
dy/dx = (1/u) × du/dx
= (1/(8x³ - x²)) × (24x² - 2x)
= (24x² - 2x)/(8x³ - x²)
Therefore, the derivative of y with respect to x is (24x² - 2x)/(8x³ - x²).
b) f(x) = ln(x)
The derivative of ln(x) is given by the formula:
d/dx [ln(x)] = 1/x
Therefore, the derivative of f(x) = ln(x) is f'(x) = 1/x.
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1.0835 rounded to the nearest tenth
Answer:
1.1
Step-by-step explanation:
Answer:
1.1
Step-by-step explanation:
what is the ending value of z ? z = 0 a = 5 while a > 0: a = a - 1 if a == 2: continue z = z a
The final value of 'z' is 0. The given code initializes 'z' as 0 and 'a' as 5. In the while loop, 'a' is decremented by 1 until it becomes 2. At that point, the 'continue' statement is executed, skipping the following line of code where 'z' would have been updated. Consequently, the value of 'z' remains unchanged at 0.
The code starts with initializing 'z' to 0 and 'a' to 5. The while loop is then executed as long as 'a' is greater than 0. Inside the loop, 'a' is decremented by 1 with the statement 'a = a - 1'. When 'a' becomes 2, the condition 'a == 2' is satisfied. In this case, the 'continue' statement is encountered, causing the execution to skip the remaining code within the loop and jump back to the loop condition.
As a result, the line of code that updates 'z' is never reached when 'a' is 2. Consequently, 'z' retains its initial value of 0 throughout the execution of the code. Hence, the ending value of 'z' is 0.
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If you testing hypotheses and your p-value gives you a rejection of the null hypothesis for a a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level.
Yes, if you are testing hypotheses and your p-value gives you a rejection of the null hypothesis for a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level. This statement is true.
What is a p-value?
The probability value (p-value) is the probability of obtaining the test statistic under the null hypothesis. The p-value is a measure of the strength of the proof against the null hypothesis. A tiny p-value (typically less than 0.05) implies that the data is inconsistent with the null hypothesis and that we should dismiss the null hypothesis in favour of the alternative hypothesis. We fail to reject the null hypothesis if the p-value is big (typically larger than 0.05).
We may state with 95% confidence that the null hypothesis is false if we reject the null hypothesis at a significance level of 0.05. If we reject the null hypothesis at a significance level of 0.01, we may state with 99 percent confidence that the null hypothesis is incorrect.
Therefore, if a p-value gives a rejection of the null hypothesis for a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level.
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2x + 6
96
solve for x using an algebraic equation
Answer:
v
Step-by-step explanation:
Complete the statement to describe the expression (a+b+c)(d+e+f)(a+b+c)(d+e+f). The expression consists of 3 factors, and each factor contains terms
The statement about the given expression is described below.
What is expression?A math expression consist numbers, variables and operators its operation addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are considered as terms.
According to given data:Expression, (a+b+c)(d+e+f)(a+b+c)(d+e+f) = (a +b+c)^2(d+e+f)^2
It has factors two which consist of 3 termsEach factor has a multiplicity of 2terms in factor (a+b+c) are a, b, cTerms in factor (d+e+f) are d, e, fThus, given expression has two factors which consist 3 terms.
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please help ASAP due tomorrow!!!
Answer:
1. b =1/2 (4)(3.5)
v=(14)(8)
2.b= 1/2 (9)(12)
V=(54)(13)
3.b= 1/2(7)(6.1)
v= (21.35)(9)
8 _ 6 _ 4 _ 2=30 you can use - ,+, x find the missing signs.
Answer:
+, x, -
Step-by-step explanation:
8 + 6 x 4 - 2
8 + 24 - 2
32 - 2
30
A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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what is q(x)=9x2-24x+16
Answer:
1 1/ 3
Step-by-step explanation:
a statistics professor asked students in a class their ages. based on this information, the professor states that the average age of students in the university is 21 years. this is an example of .
The problem where the professor states that the average age of students in the university is 21 years is an example of statistical inference.
Statistical inference is the process of using data from a sample to make inferences or conclusions about a population. It allows us to draw conclusions about a larger group of individuals or objects based on information from a smaller sample. It is a fundamental part of statistical analysis and is used in many fields, including research, business, and government.
Statistical inference includes two main types: estimation and hypothesis testing.
Estimation: This involves using sample data to make estimates about population parameters. For example, using the sample mean to estimate the population mean or the sample proportion to estimate the population proportion.
Hypothesis testing: This involves using sample data to test a claim or hypothesis about a population parameter. For example, testing the claim that a coin is fair, based on the proportion of heads in a sample of coin flips.
The goal of statistical inference is to use the information from a sample to make informed decisions or predictions about a population. It allows us to draw general conclusions from a specific set of data, and it is an essential tool for making sense of data in many fields.
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calculate the interquartile range of the given data. 12,11,9,25,13,24,46,27,6,55,44,49,21,5,1
The division problem that is represented in the picture is 3 and one-third divided by (three-halves).The given complex fraction is $\frac{3 \frac{1}{3}}{\frac{3}{2}}$.
Now, we have to convert the complex fraction to a simple fraction for solving it easily. Therefore, multiplying both numerator and denominator of the fraction by 2, we get;Therefore, the given complex fraction represents the division problem 3 and one-third divided by (three-halves). Thus, option B is correct.
The median of the upper half is 46.Step 6: Calculating IQR:IQR = Q3 - Q1= 46 - 11= 35Therefore, the interquartile range (IQR) of the given data is 35.
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It takes Sandra 1 hour to word process 4.5 pages. At this rate, how long will she take to complete 29
pages?
It takes Sandra 6.44 hour to word process 29 pages.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
It takes Sandra 1 hour to word process 4.5 pages.
Now,
Since, It takes Sandra 1 hour to word process 4.5 pages.
Hence, The time to make 29 pages = 29/4.5
= 290/45
= 58/9 hours
Thus, It takes 6.44 hours to complete 29 pages.
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