Can someone help me with this please!

Answer:

19/15

Step-by-step explanation:

Step-by-step explanation:

The turn of the 20th century = 1900

So it is 1900 + 107 years ago, hence, 2007

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

Answer:

1.732 is the value of cos C

Answer:

none of these

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos C = 4 sqrt(3)/ 5

cos C = 1.38564

Answer:

Annual Interest Rate, r  = 5.69%

Step-by-step explanation:

Amount of loan taken = 220,000

Closing fee is 5% of the loan value

Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000

Therefore, Principal, P = Loan amount + closing fee

P = 220000 + 11000

P = 231, 000

Annual rate, r= 5.25% = 0.0525

Monthly rate, i = 0.0525/12 = 0.004375

Time, n = 30 years = 30*12 = 360 months

The monthly payment will be calculated by:

\(PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59\)

Assuming payments are made based on 220,000, let us calculate the monthly interest rate.

\(PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229\)

Annual rate, r = 12 * 0.0047429

r = 0.0569 = 5.69%

As a result, the width of the confidence interval will rise as the sample size is reduced.

An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.

Given,

What causes a confidence interval's width to grow?

The confidence interval widens as the confidence level does. The only option to get more accurate population estimates, assuming the confidence level is fixed, is to reduce sampling error. The standard error statistic assesses sampling error.

When sample size is reduced, what happens to the width of the confidence interval?

As a result, the width of the confidence interval will rise as the sample size is reduced.

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Answer:

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=1,\:y=-3\)

As the system of equations has only one solution, thus the solution consistent.

Step-by-step explanation:

Given the system of equations

4x - 5y = 19

y = x - 4

Solving the system of equations by using the substitution method.

\(\begin{bmatrix}4x-5y=19\\ y=x-4\end{bmatrix}\)

\(\mathrm{Subsititute\:}y=x-4\)

\(\begin{bmatrix}4x-5\left(x-4\right)=19\end{bmatrix}\)

\(4x-5\left(x-4\right)=19\)

\(-x+20=19\)

isolate x for \(-x+20=19\)

\(-x+20=19\)

\(-x=-1\)

Divide both sides by -1

\(\frac{-x}{-1}=\frac{-1}{-1}\)

\(x=1\)

\(\mathrm{For\:}y=x-4\)

\(\mathrm{Subsititute\:}x=1\)

\(y=1-4\)

\(y=-3\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=1,\:y=-3\)

As the system of equations has only one solution, thus the solution consistent.

Please remember that if the system of equations has only one solution, then it is an independent system of equations.

Answer:

Let s =cost of skiing per day. Here's what we know:

450 + 20s = 64s + 20s (the season pass plus ski rentals equates to daily skiing plus ski rentals)

We have 20s on both sides, so those cancel out easily:

450 = 64s

Divide both sides by 64:

7.03 ≈ s

You can't pay for a partial day, so the skier will have to ski for at least 8 days to make the season pass cheaper than getting daily passes.

Step-by-step explanation:

Hope this helps :D

Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.

To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error

Margin of error = Z × (standard deviation / sqrt(sample size))

where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.

We want the margin of error to be no more than 0.5 drinks, so we can set up the equation

0.5 = 1.96 × (6.3 / sqrt(sample size))

Solving for the sample size, we get

sqrt(sample size) = 1.96 × 6.3 / 0.5

sqrt(sample size) = 24.82

sample size = (24.82)^2

sample size = 617

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32/8 simplified is 4. 36 divided by 4 is 9. so.. 9+7 is 16 times 14 is. 224. The answer is 224. :)

Answer:

32

Step-by-step explanation:

According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

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Let's begin by listing out the information given to us:

3 treasure chests contain: 34 jewels, 48 jewels & 18 jewels

Total jewels = 34 + 48 + 18 = 100 jewels

Five explorers plan to share them equally:

To know how many jewels does each get, we divide the total number of jewels by the number of explorers

Total jewels / number of explorers = 100/5 = 20 jewels

Therefore each explorer gets 20 jewels

Answer:

width = 6 feet

length = 19 feet

Step-by-step explanation:

'w' = width

'2w+7' = length

50 = 2w + 2(2w+7)

50 = 2w + 4w + 14

36 = 6w

6 = w

length = 2(6)+7 = 19

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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The rate at which the number of buffalos was increasing in 2013 was 68 buffalos per year (approx).

a. Formula for the number of buffalo N(t) in the herd since 2008 will be: N(t) = 600(1.08)t

Where, N(t) is the number of buffalo at time t years since 2008, 600 is the initial number of buffalo and 1.08 is the percentage of growth as per given information.

b. To determine how fast was the number of buffalo increasing in 2013, we need to find the first derivative of the function with respect to time.

The derivative of N(t) with respect to t will give the rate of change of N(t) with respect to time.

N(t) = 600(1.08)t

N'(t) = 600(1.08)t × ln(1.08)N'(t)

= 600(1.08)t × 0.0774264N'(t)

= 46.456t × (1.08)t

Now, to find the increase in the number of buffalo in 2013, we put t = 5 because it's 5 years since 2008.

Thus, we get:

N'(5) = 46.456(1.08)5N'(5)

= 46.456 × 1.469328N'(5)

= 68.256 (approx)

Therefore, the rate at which the number of buffalos was increasing in 2013 was 68 buffalos per year (approx).

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Answer:

A. Rational number

Step-by-step explanation:

It is not a whole number or integer because it's a fraction. so it's the rational of a whole number.

if they are optional

all are correct

Correct option is

D

All are correct

the equation of a given progressive wave is

y=5sin(100πt−0.4πx) ......(i)

The standard equation of a progressive wave is

y=asin(ωt−Kx) ...(ii)

Comparing (i) and (ii), we get

a=5m,ω=100π rad s

−1

,k=o.4πm

−1

도움이 되기를 바랍니다. :)

좋은 하루 되세요 :)

가장 똑똑한 것으로 표시 :)

For the 6th point, the answer is PR because this is the formula from the Pitagoras theorem, PT and RT are the hicks, so PR is the hypotenuse.

For the 7th point, the answer is QR because this is the formula from the Pitagoras theorem, QT and RT are the hicks, so QR is the hypotenuse.

The total distance covered by the Ferris wheel after 6 rotations is 2616π feet

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The Ferris wheel has a radius of 218 feet. The total distance covered if the Ferris wheel makes one rotation is the perimeter of the wheel.

Perimeter = 2π * radius = 2π * 218 feet = 436π

For 6 rotations:

Total distance covered = 6 * 436π = 2616π

The total distance is 2616π feet

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The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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Answer:

C

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

We need to find bracelets per day.

1 day 2 days

5 bracelets 10 bracelets

since we know how many bracelets she can make per day, all we have to do is divide 35 by 5.

to get 7 days.

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

23

Step-by-step explanation:

8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23

Average Speed is 23/32 laps per minute.

In the given statement is:

Carlos jogged 5 3/4 laps around the school track in 8 minutes.

What is Average speed?

Average Speed is calculated by dividing the total distance travelled by the time interval. For example, Someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph)

Now, According to the Question:

5 3/4laps = 23/4 laps

23/4 ÷8

=23/4 × 1/8

=23/32

So, 23/32 laps per minute

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These are the four 4th roots of the complex number 16[cos(π) + i sin(π)]. They are evenly spaced along the circumference of the circle with a radius of 4, and the arguments of two successive roots differ by π/2 radians.

To find the 4th roots of the complex number 16[cos(π) + i sin(π)], we can express it in polar form:

16[cos(π) + i sin(π)] = 16e*(iπ)

Now, we can find the 4th roots by taking the 4th root of the magnitude and dividing the argument by 4:

Magnitude of the 4th root = √16 = 4

Argument of the 4th root = π/4 (π units divided by 4)

Now, we can locate the 4th roots on a circle with a center at the pole (origin) and a radius of 4. The arguments of two successive roots will differ by π/2 radians (π units divided by 4) along the circumference of the circle.

Starting from the positive x-axis (real axis) and moving counterclockwise, we can locate the 4th roots as follows:

Root 1: Argument = π/4, located at (4, π/4)

Root 2: Argument = π/4 + π/2 = 3π/4, located at (-4, 3π/4)

Root 3: Argument = π/4 + 2π/2 = 5π/4, located at (-4, 5π/4)

Root 4: Argument = π/4 + 3π/2 = 7π/4, located at (4, 7π/4)

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Answer:

2/15

Step-by-step explanation:

2 x 1 is 2

3 x 5 is 15

2/15 can't be simplified so stays that way

Answer:

2/15

Step-by-step explanation:

Answer:

t = 0.5m + 15

Step-by-step explanation:

0.5m + 15 = t

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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The length or value of d is 3m

What is meant by length?

Length is a measurement of how long something is, typically referring to the longest dimension of an object or space. It is a fundamental physical quantity and can be measured in various units, such as meters, feet, or inches. Length is important in many fields, including mathematics, science, and engineering.

According to the given information

In a right-angled triangle, the side opposite to the 90-degree angle is called the hypotenuse. The side opposite to the 60-degree angle is equal to the hypotenuse multiplied by the square root of 3 divided by 2. Since AC is the hypotenuse and its length is given as 2*(√(3))m, we can find the length of BC (d) as follows:

d = (AC * √(3)) / 2 d = (2 * √(3) * √(3)) / 2

d = 3m

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Answer:

1/5

Step-by-step explanation:

sqrt(40)/sqrt(1000)

2sqrt(10)/10sqrt(10)

1/5