Which fraction is the largest 10/13, 11/14, 14/15 or 17/18

Answer:

9

Step-by-step explanation:

4 * 2 + 3 - 2 =

= 8 + 1 =

= 9

Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

Answer:

the answer is infinity....

The statement that is true about the algebraic expression 450 −15t is B. A student has 450 marbles. They give t marbles to each of their 15 friends. The expression represents the total marbles the student is left with.

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

In this case, when a student has 450 marbles. They give t marbles to each of their 15 friends.

The expression represents the total marbles the student is left with will be:

= 450 - (15 × t)

= 450 - 15t

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Answer:

Step-by-step explanation:

Total number of integers from 300 through 780, inclusive:

Number of integers with at least one of digit 1:

The probability is:

The solution is:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Here,

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

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complete question:

You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.

How much do you need to pay for each year of attending?

If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?

Answer: -210 is your answer

Step-by-step explanation:

I took the test and worked it out

Answer: -210

Step-by-step explanation: remembered answering this question once and -210 was the right answer

Answer:

6.3 & -6.3

Step-by-step explanation:

6.3 is the same as -6.3, hope this helps

Answer:

-6.3 and 6.3

Step-by-step explanation:

-6.3 is same as 6.3 is absoulte value

The proof that AE is tangent to circle C is given below:

The angle addition postulate is a fundamental concept in geometry that states that the measure of an angle formed by two adjacent angles can be obtained by adding the measures of the two angles.

More specifically, given two adjacent angles with measures A and B, the measure of the angle formed by the two adjacent angles (denoted as AOB) can be found by adding the measures of the two angles:

A + B = AOB

This postulate is often used in geometric proofs and can be applied to any adjacent angles, including those formed by intersecting lines, parallel lines, or polygons.

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Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The table and graph are attached.

  x: -2, -1, 0, 1

  y: -1, 1, 3, 5

Answer: I can help you with this.

Step-by-step explanation:

So you have to use the equation and plug in the numbers.

Like; in the table we are given x so u have to find y using the equation. Let's do one for -2

Y = 2x + 3

? = 2 (-2) + 3

Y = - 1

Hope you can do the rest. ‍♀️

Step-by-step explanation:

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Answer:

-4.1

Step-by-step explanation:

5.7-9.8= -4.1

Answer:

A) E(x) = n ( 1 - p ) = u ( 1 - 1 ) =0

B) \(_{n} C_{x} .P(1-p)_{n-x}\)

Step-by-step explanation:

In other to make money ( M ) you have to flip more head than tail

where : 0 < N < M

N = dollars in your pocket

M = money made from flipping the coin

A) Show that with the probability one that the money in your pocket ends in a 0 or M  as the game ends

This is a binomial distribution problem hence to show that the money in your pocket ends in a 0 or M can be shown as

E(x) = np = u * 1

p = p( head )

1 - p = P ( tail ( failure ))

Hence

E(x) = n ( 1 - p ) = u ( 1 - 1 ) =0

b) probability that the game ends with M dollars in your pocket

To end up with M dollars you have to flip a head more often than a tail

P( head ) = p

P( tail ) = 1 - p

Hence the probability that the game ends with M dollars in your pocket

= \(_{n} C_{x} .P(1-p)_{n-x}\)

n = number of successions

p = probability of flipping a head

p-1 = probability of flipping a tail

In this exercise we have to use the knowledge of probability and binomials to calculate what is asked in this way we find that:

A) \(E(x) = n ( 1 - p ) = u ( 1 - 1 ) =0\)

B) \(nC_xP(1-p)_{n-x}\)

In other to make money ( M ) you have to flip more head than tail where : \(0 < N < M\)

A) Show that with the probability one that the money in your pocket ends in a 0 or M  as the game ends. This is a binomial distribution problem hence to show that the money in your pocket ends in a 0 or M can be shown as:

\(E(x) = np = u * 1\\p = p( head )\\1 - p = P ( tail ( failure ))\\E(x) = n ( 1 - p ) = u ( 1 - 1 ) =0\)

b) probability that the game ends with M dollars in your pocket. Hence the probability that the game ends with M dollars in your pocket:

To end up with M dollars you have to flip a head more often than a tail:  

\(P( head ) = p\\P( tail ) = 1 - p\\nC_xP(1-p)_{n-x}\)

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The perimeter of the rectangle is the sum of its dimensions

The dimensions that minimize the perimeter are \(\mathbf{10\sqrt{10 },10\sqrt{10 }}\)

The area is given as:

\(\mathbf{A = 1000}\)

Let the dimension be x and y.

So, we have:

\(\mathbf{A = xy = 1000}\)

Make x the subject

\(\mathbf{x = \frac{1000}{y}}\)

The perimeter is calculated as:

\(\mathbf{P = 2(x + y)}\)

Substitute \(\mathbf{x = \frac{1000}{y}}\)

\(\mathbf{P = 2(\frac{1000}{y} + y)}\)

Expand

\(\mathbf{P = \frac{2000}{y} + 2y}\)

Differentiate

\(\mathbf{P' = -\frac{2000}{y^2} + 2}\)

Set to 0

\(\mathbf{ -\frac{2000}{y^2} + 2 = 0}\)

Rewrite as:

\(\mathbf{ -\frac{2000}{y^2} = -2}\)

Divide both sides by -1

\(\mathbf{\frac{2000}{y^2} = 2}\)

Multiply y^2

\(\mathbf{2000 = 2y^2}\)

Divide by 2

\(\mathbf{1000 = y^2}\)

Take square roots of both sides

\(\mathbf{y = \sqrt{1000 }}\)

\(\mathbf{y = 10\sqrt{10 }}\)

Substitute \(\mathbf{y = \sqrt{1000 }}\) in \(\mathbf{x = \frac{1000}{y}}\)

\(\mathbf{x = \frac{1000}{\sqrt{1000}}}\)

\(\mathbf{x = \sqrt{1000}}\)

\(\mathbf{x = 10\sqrt{10 }}\)

Hence, the dimensions that minimize the perimeter are \(\mathbf{10\sqrt{10 },10\sqrt{10 }}\)

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A function f (x) and g (x) then:

(f + g) (x) = x² - x + 6

Further explanation

Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.

Suppose a function f (x) and g (x) then:

(f + g) (x) = f (x) + g (x)

(f + g) (x) is a new function of the sum of f (x) and g (x)

Likewise with other function operations:

(f-g) (x) = f (x) - g (x)

(fg) (x) = f (x) x g (x)

(f / g) (x) = f (x) / g (x)

In addition to the above operations we can combine two functions using the function composition with the symbol o

(fog) (x) = f ((g (x))

Known on the question

f (x) = x² + 1

g (x) = 5 x

Summing the two functions f (x) and g (x):

(f + g) (x) = f (x) + g (x)

(f + g) (x) = x² + 1 + 5 - x

(f + g) (x) = x² - x + 6

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

A

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

y=3 is a horizontal line, so it will not affect the x coordinate.

The x-coordinate of  the image when M(4,-1) is reflected in y = 3 is : 4

Reflection is the mirror image of a shape.

It is the process of flipping a shape around a certain axis to look like the original shape.

Analysis:

Since the reflection is at y = 3 which is along the x-axis, only the y coordinate changes.  The x coordinate remains the same. So, the x- coordinate is still 4.

In conclusion, the x-coordinate is 4.

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Answer:

4(x - y)

Step-by-step explanation:

5(x - y) - (x - y) - Distribution the numbers outside the brackets (There is a neg one in front of the second (x - y)

5x - 5y - x + y - Simplify

4x - 4y

4(x - y) - Optional

The flat fee that the store charges is $14 and the cost for 7 hours is $56

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

let f for the total rental cost of a vacuum cleaner for x hours

Using the points (1, 20) and (3, 32) from the table:

\(f-f_1=\frac{f_2-f_1}{x_2-x_1} (x-x_1)\\\\f-20=\frac{32-20}{3-1} (x-1)\\\\f(x)=6x+14\)

The flat fee that the store charges is $14

The reasonable domain is 1 ≤ x ≤ 12

The cost for 7 hours is:

f(7) = 6(7) + 14 = 46

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There are 11 people in teh Scouts group, mad

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

10/11

Step-by-step explanation:

\( { \lim _{x \to5} \frac{ {x}^{2} - 5}{ {x}^{2} + x - 30 } } \\

{\lim _{x \to5} \frac{ (x + 5)(x - 5)}{ {x}^{2} + 6x - 5x - 30 } } \\

{\lim _{x \to5} \frac{ (x + 5)(x - 5)}{x( x + 6) - 5 (x + 6)} } \\

{\lim _{x \to5} \frac{ (x + 5)(x - 5)}{( x + 6)(x - 5)} } \\{\lim _{x \to5}} \frac{x + 5}{x + 6} \\ \frac{5 + 5}{5 + 6} \\ \frac{10}{11} \)

The differentiation of the given function f(x) = eˣ+6 is eˣ

The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

Given is function f(x) = eˣ+6, we need to find the derivative of this function,

f(x) = eˣ+6

f'(x) = d / dx (eˣ+6)

= d(eˣ)/dx + d(6)/dx

Since, 6 is a constant and derivative of a constant is zero,

d(eˣ)/dx + d(6)/dx = d(eˣ)/dx + 0

Now, when we differentiate eˣ, we get eˣ itself,

Therefore,

d(eˣ)/dx = eˣ

Therefore, the differentiation of the given function f(x) = eˣ+6 is eˣ

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Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.