Answer:
6 pieces can be cut from the string.
SOMEONE PLEASE HELP ILL GIVE BRAINLIEST
Answer: Its E,F, and H
Step-by-step explanation: There no way its not E,F, and H . C is a right angle so I believe the questions asking what other ones are right angles and that answer would be E,F and H.
Which expression has a value of 7/12
Answer:
there isn't any choices but 6/12+1/12=7/12
or 4/12+3/12=7/12
hope this helps
have a good day :)
Step-by-step explanation:
I found the interval of convergence, but I am not sure how to do the second part, finding the sum of the series as a function of x.
The given series is geometric with common ratio \(6^x - 9\), which converges if \(|6^x - 9|<1\) (i.e. the interval of convergence). We have the well-known result
\(\displaystyle |r| < 1 \implies \sum_{n=0}^\infty ar^n = \frac{a}{1-r}\)
If you're not familiar with that result, it's easy to reproduce.
Let \(S_N\) be the \(N\)-th partial sum of the infinite series,
\(\displaystyle S_N = \sum_{n=0}^N \left(6^x - 9\right)^n = 1 + \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \cdots + \left(6^x - 9\right)^N\)
Multiply both sides by the ratio.
\(\left(6^x - 9\right) S_N = \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \left(6^x - 9\right)^3 + \cdots + \left(6^x - 9\right)^{N+1}\)
Subtract this from \(S_N\) to eliminate all the powers of the ratio between 0 and \(N+1\).
\(\left(1 - \left(6^x - 9\right)\right) S_N = 1 - \left(6^x - 9\right)^{N+1}\)
Solve for \(S_N\).
\(S_N = \dfrac{1 - \left(6^x - 9\right)^{N+1}}{10-6^x}\)
Now as \(N\to\infty\), the exponential term converges to 0 and we're left with
\(\displaystyle \sum_{n=0}^\infty \left(6^x-9\right)^n = \lim_{N\to\infty} S_N = \boxed{\frac1{10-6^x}}\)
A rectangle is split into 9 smaller rectangles as shown. The areas of three of these rectangles are 6, 7, and 8. Find the area of f the rectangle marked *
(No links please. Please answer quickly!)
Answer: Approximately 9.33 square units
As a fraction, this is exactly 28/3
=========================================================
Explanation:
Let's say the height of the upper-left smallest rectangle (area 6) has height of 2. This height doesn't matter and can be anything you want, and it won't affect the final answer.
This means its horizontal portion of area 6 is 6/2 = 3 units across.
The horizontal portion of 3 corresponds directly to the horizontal part of the lower left rectangle (area 7) as well. The height of this rectangle is 7/3. We'll come back to this later.
Since the height of area 6 is 2 units, this also the height of area 8. The horizontal portion of area 8 must be 8/2 = 4 units.
Since the horizontal portion of area 8 is 4 units, and the vertical portion of area 7 is 7/3, this makes the area we're after to be 4*(7/3) = 28/3 = 9.33 approximately.
14. Which property is shown by 3 + 2 = 2 + 3? (1 point)
O Commutative Property of Addition
O Identity Property of Addition
O Distributive Property
O Associative Property of Addition
Answer: Commutative Property of Addition
Explanation: The problem 3 + 2 = 2 + 3 demonstrates the commutative property of addition. In other words, the commutative property of addition says that changing the order of the addends does not change the sum.
For example here, we can easily see that the sum of 3 + 2,
which is 5, is equal to the sum of 2 + 3, which is also 5.
\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)
3 + 2 = 2 + 3It is commutative property of additionAlice used a $250 cash advance from her credit card company to get cash while on a trip. The company charges a daily finance fee of 0.047%. She reported the advance plus the finance fee 40 days later. What amount did Alicia repay the company?
you do 0.047×40 and what ever that gives you you add it to 40 and it will give you the answer
The amount Alicia repaid to the company after 40 days is $254.7.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Advance cash = $250
Daily finance fee = 0.047%
The daily finance fee for 40 days.
= 40 x (0.047% x 250)
= 40 x 0.1175
= $4.7
The total amount paid after 40 days.
= 250 + 4.7
= $254.7
Thus,
The amount paid to the company is $254.7.
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-5•3 = 3 • -5
Name the property that justifies the statement
Answer:
commutative property of multiplication
Step-by-step explanation:
Could someone help me solve this? TIA
The exact value of the specified trigonometric identity found using the the trigonometric identity for tan(A - B) and tan(arccos(x)) and tanarcsin(x)) is presented as follows;
\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)
What is a trigonometric identity?A trigonometric identity is an equality that involves trigonometric functions that is valid for all values of the arguments of the equation
The required trigonometric identities are;
\(tan (A - B) = \dfrac{tan(A) -tan(B)}{1-tan(A)\cdot tan(B)}\)
\(tan(sin^{-1}(x)) = \dfrac{x}{\sqrt{1-x^2} }\)
\(tan(cos^{-1}(x)) = \dfrac{\sqrt{1-x^2}}{x }\)
Therefore;
\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) = \dfrac{tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)-tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}{1-tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)\times tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}\)
Which gives;
\(\dfrac{\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } -\dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} } }{1+\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } \times \dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} }}=\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }\)
\(\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }=\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)
Which indicates that we have;
\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)
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In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s\) is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that \(\mu = 0\)
Randomly select 10 cars
This means that \(n = 10\)
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that \(X = 0.41, s = \sqrt{0.16} = 0.4\)
Calculate the test statistic.
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}\)
\(t = 3.24\)
The test statistic is t = 3.24.
Please help!!!!!!!!!!!
Answer:
The ordered pair (15, 12) means that 15 pounds of beans cost $12.
Step-by-step explanation:
Ordered pairs are in the format of (x,y). The first number represents a point's position on the x-axis and the second represents a point's position on the y-axis. Also note that in this graph, the x-axis represents the weight of beans in pounds and the y-axis represents the cost of beans.
Knowing this, (15,12) means that 15 pounds of beans must cost $12.
ABC Computer Company has a AED20, 000,000 factory in Sharjah. During the current year, ABC builds AED2,000,000 worth of computer components. ABC’s costs are labour AED 1,000,000; interest on debt, AED100,000; and taxes, AED200,000. ABC sells all its output to Jumbo LLC Supercomputer. Using ABC’s components, Jumbo builds four supercomputers at a cost of AED800,000 each (AED500,000 worth of components, AED200,000 in labour costs, and AED100,000 in taxes per computer). Jumbo LLC has a AED30,000,000 factory. JUMBO LLC. sells three of the supercomputers for AED1,000,000 each; at year’s end, it has not sold the fourth. The unsold computer is carried on JUMBO LLC’s books as an AED800,000 increase in inventory. a) Calculate the contributions to GDP of these transactions, showing that all three approaches give the same answer. and its explanation
All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.
To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.
Expenditure Approach:
GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.
GDP = Sales of supercomputers
= (3 * AED1,000,000) + (1 * AED800,000)
= AED3,800,000 + AED800,000
= AED4,600,000
Income Approach:
GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.
GDP = Wages + Interest + Taxes
= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)
= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)
= AED1,200,000 + AED100,000 + AED300,000
= AED1,600,000
Production Approach:
GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.
GDP = Sales price of supercomputers - Cost of components
= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)
= AED3,000,000 + AED800,000 - AED2,000,000
= AED1,800,000
As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.
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an adult with twice the mass of the student is also on the ride and remains stuck to the wall while the ride is rotating just like the student. derive an algebriac expression to show that the mass of the rider does not determine if the ride will remain stationaty against the wall while the ride is rotating
The force acting on the adult and the student, both stuck to the wall, is determined by their weight and the centripetal force acting on them. This means that the net force acting on both of them must be equal to zero.
The quadratic equation in LaTeX:
$ax^2 + bx + c = 0$
The weight of an object is proportional to its mass, and the centripetal force acting on an object is proportional to its mass and the square of its velocity.
Therefore, the ratio of the force acting on the adult to the force acting on the student will be equal to the square of the ratio of their masses and the square of the ratio of their velocities.
Let the mass of the student be 'm' and the mass of the adult be '2m'. Then, the ratio of the forces acting on them will be (2m) / m * (v_adult / v_student)^2, where 'v' represents velocity.
Since the ride remains stationary against the wall for both the student and the adult, this means that the net force acting on both of them must be equal to zero, i.e. their weight must be balanced by the centripetal force acting on them.
Thus, (2m) / m * (v_adult / v_student)^2 = 1.
This equation shows that the mass of the rider does not determine if the ride will remain stationary against the wall while rotating. The ride's velocity and the distribution of mass on the ride will determine whether it remains stationary or not, not the mass of the rider.
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Four out of nine dogs weigh less than 20 pounds. What is the decimal equivalent for the number of dogs weighing less than 20 pounds
Answer:
.4 is the answer to your question .
Answer:
four out of 9 doga so the less. then 20 the 2
What is the slope of the line that passes through the points (-3,-9) and (22,-4)
Answer: 1/5
Step-by-step explanation:
Why did the Roman have to give each number a different letter?
Answer:
Sorry I dont understand your question? Can you make it more clear please?
Step-by-step explanation:
Amanda builds a scale model of a bridge that is 460 feet in length. She has to use 6-inch long toothpicks to build this model. To build a bridge model that is 512 feet in
length, how long will the toothpicks need to be? Round to the nearest whole unit.
6 inches
7 inches
8 inches
None of these choices are correct.
Back
Next
All Previous
Answer:
6 inches
Step-by-step explanation:
460 ÷ 6 = 76.666666.
512 ÷ 76.666666 = 6.672
6.672 rounded to a whole number is 6.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message.
-kiniwih426
Enter a positive value for d that makes this statement true: 34×d is less than 34 but greater than zero HELP PLSS FASTT
Answer:
0.5 (any number between 0 and 1)
Step-by-step explanation:
34 * 0.5 = 17
34 > 17 > 0
consider a production process that produces batteries. a quality engineer has taken 20 samples each containing 100 batteries. the total number of defective batteries observed over the 20 samples is 200. the sample standard deviation is
The sample standard deviation is 0.03
As per the given data, a quality engineer has taken the 20 samples in which each containing of 100 batteries.
The total number of the defective batteries which are observed over the 20 samples is 200.
Here we have to calculate the value of the sample standard deviation
The number of samples, k = 20
The number of batteries in each sample:
The sample size = 100
The total number of batteries of the sample are:
The total number of samples, \($\sum{n=20 \times 100=2000}$\)
\(& \bar{n}=\sum_\frac{n}{k}} \\\)
= \($\frac{2000}{20}\)
= 100
The total number of defective batteries = 200
Now we can calculate the proportion of the deflective battery:
Therefore, \($\bar{p}=$\) The total number of defectives ÷ The total number of samples
= \($\frac{200}{2000}\)
= 0.10
The standard deviation, \($\sigma_{\mathrm{p}}=\sqrt{\frac{\bar{p} \bar{q}}{\bar{n}}}$\)
= \($ \sqrt{\frac{0.1 \times 0.9}{100}} \\\)
= \(& \sqrt{0.0009} \\\)
= 0.03
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Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
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A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
Simplify: 12(3y + x)
The simplified expression is 36y+12x
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here: 12(3y + x) now using the distributive property here we get
2(3y + x=36y+12x
Hence, The simplified expression is 36y+12x
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What is the C.O.P for this relationship?
Answer:
4
Step-by-step explanation:
Constant of proportionality is given as, k = y/x
To find the constant of proportionality of the table of values given, use any of the given pairs of values, say, (1, 4).
Thus, k = 4/1 = 4
Constant of proportionality = 4
Answer:
The constant of proportionality is 4
Step-by-step explanation:
For every 4 there is one, so for 2 there would be an 8, for 3 a 12, so on and so 'forth'.
Need help ? Finding the value of the expression ?
Answer:
157
Step-by-step explanation:
n = -4m = 5----
2n² + 5m² =2*(-4)² + 5*5² =2*16 + 5*25 =32 + 125 =157plesee help me do I need it under 25min and don't answer if you don't know or else u will be reported thank you (◔‿◔)
Answer:
l = 2.25 cm
Step-by-step explanation:
given l is inversely proportional to w² then the equation relating them is
l = \(\frac{k}{w^2}\) ← k is the constant of proportion
(i)
to find k use the condition w = 1.5 , l = 16 , then
16 = \(\frac{k}{1.5^2}\) = \(\frac{k}{2.25}\) ( multiply both sides by 2.25 )
36 = k
l = \(\frac{36}{w^2}\) ← equation of proportion
(ii)
when w = 4 , then
l = \(\frac{36}{4^2}\) = \(\frac{36}{16}\) = 2.25 cm
A newspaper vendor sold 2000 newspapers each at sh.40.He was paid sh.2 per each newspaper as commission.What was the percentage commission.
.
Answer:
5 percent
Step-by-step explanation:
100/40=2.5
2.5*2=5
why mathematical induction is used ?(write a 100 words paragraph)
Answer:
Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers ( non-negitive integers). The simplest and most common form of mathematical induction proves that a statement involving a natural number that holds for all values.
If the prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5, what would you need to multiply it by to get the prime factorization of 3000?
To get the Prime factorization of 3000 we need to multiply by 5.
What is Prime Factorization:When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.
For example, the Prime factorization of 45 is given below
=> 45/5 = 9, 9/3 = 3, 3/3 = 1
=> 45 = 5 × 3 × 3
Here we have
The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5
Let us assume that on multiplying with p,
we will get the factorization of 3000
=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000
=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)
Her 2 x 2 × 2 × 3 × 5 × 5 = 600
=> p = \(\frac{3000}{600}\)
=> p = 5
Therefore,
To get the Prime factorization of 3000 we need to multiply by 5.
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 10 more than the second.
Answer:
first angle be 30°
second angle be 70°
third angle be 80°
Step-by-step explanation:
first angle be x
second angle be y
third angle be z
x+y+z=180
given, y+z = 5x; z=5x-y
also, z=y+10
5x-y = y+10
5x= 10+y+y = 10+2y
x= (10+2y)/5
x+y+z=180
(10+2y)/5 + y + y+10 = 180
(10+2y)/5 = 180 -2y -10
(10+2y)/5 = 170-2y
multiply both sides by 5
10+2y = 5(170-2y)
10+2y= 850-10y
2y+10y = 850-10
12y= 840
y= 840/12 = 70°
z=y+10 =70+10= 80°
5x= (10+2y) = 10+2(70) = 10+140= 150
x = 150/5 = 30°
what is 8 x 1 ????????????
Answer:8
Step-by-step explanation:8x1=8
can you solve this quesiton?
Using chain rule, the derivative of the function is 1 / [4x^(3/4) (1 + x^(1/2))].
What is the derivative of the function?Let u(x) = √4. Then we can write the given function as d/dx[tan^-1(u(x))].
Recall that the chain rule for differentiation states that d/dx[f(g(x))] = f'(g(x)) * g'(x). Applying this to our function, we have:
d/dx[tan^-1(u(x))] = [d/dx(tan^-1(u))] * [d/dx(u(x))]
To find d/dx(tan^-1(u)), we use the formula for the derivative of the inverse tangent function: d/dx[tan^-1(u)] = u'(x) / [1 + u(x)^2].
To find u'(x), we differentiate u(x) = sqrt4 with respect to x using the chain rule as follows:
d/dx[√4] = (1/2)x^(-3/4) * (d/dx)(x) = (1/2)x^(-3/4)
Therefore, u'(x) = (1/2)x^(-3/4).
Substituting u(x) and u'(x) into the formula for the derivative of the inverse tangent function, we get:
d/dx[tan^-1(u(x))] = [1 / (2x^(3/4) * (1 + x))]
Finally, substituting this expression for d/dx(tan^-1(u)) and d/dx(u(x)) back into our original chain rule expression from step 2, we get:
d/dx[tan^-1(√4)] = [1 / (2x^(3/4) * (1 + x))] * (1/4)x^(-3/4)
Simplifying the expression in step 6 by multiplying the two terms in the denominator and bringing x to the common denominator, we get:
d/dx[tan^-1(√4)] = 1 / [4x^(3/4) (1 + x^(1/2))]
Therefore, the derivative of the function d/dx[tan^-1(√4)] is 1 / [4x^(3/4) (1 + x^(1/2))].
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