\(5^{2} 5^{9}\)

Answer:

The correct answer should be 3÷8

Answer:

3÷8

Step-by-step explanation:

Loan A has the lower monthly payment

=========================================================

Explanation:

Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.

However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01

So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.

------------------

Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18

The multiplier this time is 162.90 because (16290)/(100) = 162.90

Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.

--------------------

To summarize, we have these monthly payments

Loan A has the lower monthly payment

Answer:

53.1 degrees

Step-by-step explanation:

use sohcahtoa

sin(x) = 12/15

sin(x) = 0.8

sin-1(0.8) = 53.1301

Answer:

D

Step-by-step explanation:

Hope this helps

The area of a page of the book, "flowers of the four seasons". would be = 5.6× 10^-⁷ m²

To calculate the area of a book, the length and weight of the book must be determined which is then multiplied to give it's area in square metres or mm².

The number of pages that makes up the book, "flowers of the four seasons". = 22 pages.

Since the book has a square shape, the length and width is the same = 0.75 mm

To convert 0.75 mm to meter, divide by 1000= 0.00075m

The area of a page = Length× width = 0.00075×0.00075

= 0.0000005625= 5.6× 10^-⁷ m²

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Solutions to the given inequality are numbers 4 and 5. Thus, the answer is (e) and (f).

To find the solution, first, we solve the inequality for x:

2x - 1 > x + 2

2x - x > 2 + 1

x > 3

Hence, the answer is any number that is greater than 3.

Therefore, the solutions are numbers 4 and 5.

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The complete question is:

Which numbers are solutions to the inequality 2x - 1 > x + 2? Check all of the boxes that apply.

(a) 0

(b) 1

(c) 2

(d) 3

(e) 4

(f) 5

The inverse of the function f(x) is

\(f^{-1}\) (x) = 2x - 3

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 1/2 (x + 3)

Put f(x) = y

y = 1/2 (x + 3)

Replace y and x.

x = 1/2 (y + 3)

Find y.

2x = y + 3

y = 2x - 3

This means,

\(f^{-1}\) (x) = 2x - 3

Thus,

The inverse of f(x) is 2x - 3.

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Answer: 61 people have worked on this worksheet so far.

Step-by-step explanation:

Given: 80% people try to do this ratio and proportion  worksheet find they need some help with the problems.

Let x be the total number of people worked on this worksheet so far.

People need some help with the problems. =80% of x = 0.80x

As per given,

0.80x=49

\(\Rightarrow x=61.25\approx61\)

Hence, 61 people have worked on this worksheet so far.

Answer:

Step-by-step explanation:

(11y^2-6)^2=121y^4-132y^2+36

n=2

Step-by-step explanation:

\( sum \: of \: interior \\ \: angels \: is  \: 2340 \:  degrees. \\

(n−2)⋅180=2340 \\

180n - 360=2340 \\ 180n = 2700 \\

n=15 \\

number \: of \: sides=15\)

the polygon is 15 sided.

y = -5

or

y = -8

Answer above!

A random variable is a variable that takes on values that are uncertain or probabilistic in nature.

Therefore, the correct option is a) A variable that takes on values that are uncertain.

Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.

These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.

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Answer:

You need to be specific on which is the length, height and width. Making the most basic assumption I would have to assume the answer is 228

Step-by-step explanation:

Formula for the surface area of a rectangular prism is A=2(wl+hl+hw)

A = 2 x (9 x 6 + 4 x 6 + 4 x 9)

A = 2 x (54 + 24 + 36)

A = 2 (114)

A = 228

Answer:

pi r squared

Step-by-step explanation:

A=pir2

pi is 3.14

hope it helps

The distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The expression is given in the question as:

⇒ 3.14d

The circumference of the Ferris wheel can be determined by multiplying the diameter, d, by (3.14).

Thus, the circumference of the Ferris wheel is:

⇒ 3.14 × 520 = 1635.2 feet.

Since the Ferris wheel makes one full rotation in one ride, the distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

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Throwing a coin until it lands tails is an example of a discrete random variable which does not have a finite expectation.

For the given question,

A discrete random variable is a type of variable whose value depends upon the numerical outcomes of a certain random phenomenon. Discrete random variables are always whole numbers, which are easily countable.

It is a variable that can take on a finite number of distinct values and takes numerous values. It is also known as a stochastic variable. When you consider probabilistic experiments with infinite outcomes, it is easy to find random variables with an infinite expected value.

Let X be a random variable that is equal to 2ⁿ with probability 2⁻ⁿ (for positive integer n). Then,

\(E(X)=\sum_{n:1}^{\infty} |2^{-n}2^{n}|\)

⇒ \(E(X)=\sum_{n:1}^{\infty} (1)\)

⇒ \(E(X)=\infty\)

Consider the following example,

You throw a coin until it lands tails.

Let n be the number of heads

Then number of heads can be found by, 2ⁿ

Now, the expected value function is

\(E(X)=\frac{1}{2}(2^{0} )+ \frac{1}{4}(2^{1} )+....\)

⇒ \(E(X)=\sum_{n:1}^{\infty} |2^{-n}2^{n-1}|\)

⇒ \(E(X)=\sum_{n:1}^{\infty} \frac{1}{2}\)

⇒ \(E(X)=\infty\)

Since the number of outcomes is infinite. The probability of each outcome decreases exponentially.

Hence we can conclude that throwing a coin until it lands tails is an example of a discrete random variable which does not have a finite expectation.

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Answer:

19/3 (6 1/3)

Step-by-step explanation:

For the human eye to detect an increase in the SNR of an image, the SNR must be increased by a minimum of approximately 20%. Doubling the NEX/NSA in a pulse sequence yields an increase in SNR by 100%.

SNR (Signal-to-Noise Ratio) is a statistical measure that compares the level of a desired signal to the level of background noise. The higher the SNR, the better the image quality. To increase the SNR of an image, various techniques can be used such as increasing the magnetic field strength, optimizing imaging parameters, increasing the number of excitations (NEX), or decreasing the voxel size.

However, for the human eye to detect an increase in the SNR of an image, the SNR must be increased by a minimum of approximately 20%. This is because the human eye is not as sensitive to low levels of noise as it is to high levels of noise. Therefore, a small increase in SNR may not be noticeable to the human eye.Doubling the NEX/NSA in a pulse sequence yields an increase in SNR by 100%.

This is because NEX (Number of Excitations) or NSA (Number of Signal Averages) is directly proportional to the square root of SNR. Therefore, doubling NEX/NSA would increase SNR by a factor of square root of 2 (approximately 1.4) which is equivalent to a 100% increase in SNR.

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The time needed to reach the amount of $21000 will be 36.5 years.

It is given that

Principle = $8600

Rate = 3.95%

Total amount = $21000

So the total interest will be = Amount -principle = 21000-8600=$12400

So by using the formula

\(SI = \dfrac{P\times R\times T}{100}\)

Here p = principle

R= Rate of interest

T= time

SI= interest amount

Now putting the values

\(12400= \dfrac{8600\times3.95\times T\time}{100}\)

\(T=\dfrac{12400\times100}{3.95\times8600}\)

\(\rm T=36.5 \ years\)

Thus the time needed to reach the amount of $21000 will be 36.5 years.

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Answer:

The answer you chose is wrong. The 2nd option which is A(1) = -7, A(n) - 7 is the correct answer.

Step-by-step explanation:

A(1) = -7, A(n) - 7 is the correct answer because plug in the values and you will get all the values that are in the recursive sequence.

A (1) = -7, A(1) - 7 = -14

A(2) = -14, A(2) - 7 = -21

A(3) = -21, A(3) - 7 = -28

Using concept of linear equations, Wesley earns $9 commission for selling a pair of shoes and $16 commission for selling a pair of boots.

What is a linear equation ?

A linear equation is an algebraic equation that describes a straight line in a two-dimensional plane. It involves variables that are raised to the first power, such as x, y, or z. A linear equation can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis). The slope represents the rate of change of the line, and the y-intercept represents the value of y when x is equal to zero.

Now,

Let's assume that Wesley earns a certain amount of commission for selling a pair of shoes and a certain amount for selling a pair of boots. Let's call the commission for selling a pair of shoes "S" and the commission for selling a pair of boots "B".

From the given information, we can set up the following system of equations:

9S + 10B = 241 (Yesterday's sales)

7S + 8B = 191 (Today's sales)

We can solve for S and B by using any method of solving linear equations, such as substitution or elimination. Here, we will use the elimination method:

Multiplying the first equation by 8 and the second equation by -10, we get:

72S + 80B = 1928

-70S - 80B = -1910

Adding the two equations, we get:

2S = 18

Therefore,

S = 9

Substituting this value of S into the first equation, we get:

9(9) + 10B = 241

81 + 10B = 241

10B = 160

B = 16

Therefore, Wesley earns $9 commission for selling a pair of shoes and $16 commission for selling a pair of boots.

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Answer:

x = 75°

Reason:

m∠EFG and m∠ABC are supplementary angles

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

As n approaches infinity, (2/n) and (1/n^2) both tend to zero, so we're left with:|f(n+1)| / |f(n)| = 2 * (1 / 1 + 0 + 0) = 2 The limit of the ratio test simplifies to 2.

To test the convergence of the series using the Ratio Test, we need to find the limit of the absolute value of the ratio of consecutive terms as n approaches infinity.

The given series is:

∑((-2)^n / n^2)

To apply the Ratio Test, we'll consider the ratio of consecutive terms:

|f(n+1)| / |f(n)| = |((-2)^(n+1) / (n+1)^2) / ((-2)^n / n^2)|

Simplifying this expression, we can divide the terms and combine the exponents of (-2):

|f(n+1)| / |f(n)| = |-2^(n+1) * n^2 / ((n+1)^2 * (-2)^n)|

Now, let's simplify further:

|f(n+1)| / |f(n)| = |-2^(n+1) * n^2 / (n^2 + 2n + 1) * (-2)^n|

Since we're interested in the limit as n approaches infinity, we can ignore the negative signs. Taking the absolute value of the ratio, we have:

|f(n+1)| / |f(n)| = 2^(n+1) * n^2 / (n^2 + 2n + 1) * 2^n

Now, let's simplify the expression by canceling out the common factors:

|f(n+1)| / |f(n)| = 2 * n^2 / (n^2 + 2n + 1)

To find the limit as n approaches infinity, we can divide both the numerator and denominator by n^2:

|f(n+1)| / |f(n)| = 2 * (n^2 / n^2) / ((n^2 + 2n + 1) / n^2)

Simplifying further:

|f(n+1)| / |f(n)| = 2 * (1 / 1 + (2/n) + (1/n^2))

As n approaches infinity, (2/n) and (1/n^2) both tend to zero, so we're left with:

|f(n+1)| / |f(n)| = 2 * (1 / 1 + 0 + 0) = 2

The limit of the ratio test simplifies to 2.

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Answer:

10004

Step-by-step explanation:

Step-by-step explanation:

you can find for this question answer on brainly , just research this question and then you will find the answer .

don't waste your points if you a question just research it first

Answer:

26.9%

Step-by-step explanation:

538/2000 =  0.269

Multiply this by 100 to get the percentage

= 26.9%

Answer:

x = 14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.