What is the meaning of "If Y = ran(f), then f is a function onto Y"?

Answer:

Future amount (A) = $1,258.77 (Approx)

Step-by-step explanation:

Given:

Amount deposit (p) = $693

Rate of interest monthly (r) = 4.9% / 12 = 0.003833

Number of month (n) = 13 × 12 = 156

Find:

Future amount (A)

Computation:

\(A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77\)

Future amount (A) = $1,258.77 (Approx)

Answer:

\(\large \boxed{\sf C. \ (n+1)^{n+1}+1}\)

Step-by-step explanation:

\(n^n+1\)

Plug in the value for n as n+1 in the nth term to find the (n+1)st term.

\((n+1)^{n+1}+1\)

Answer:

\(\boxed{Option \ 3}\)

Step-by-step explanation:

=> \(n^n+1\)

Given that n = n+1

So,

=> \((n+1)^{n+1}+1\)

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

Answer:

8 books

Step-by-step explanation:

set up a system of equations:

b+m=12

16+12b=112

*let b represent books, let m represent magazines

we can automatically solve the second equation to find out how many books she bought since we know that she spent $16 on magazines

16+12b=112

12b=96

b=8

so, she bought 8 books

Answer:7y=-4x+1

Step-by-step explanation:

y=mx+c

-5=-4/7(-9)+c

c=1/7

y=-4/7x+1/7

7y=-4x + 1

Answer:

x = 20

Step-by-step explanation:

Since the two angles are congruent.  Double the angles we know equals the total of the two angles.

2(3x + 7) =134  Distribute the 2

6x + 14 = 134  Subtract 14 from both sides

6x = 120  Divide both sides by 6

x = 20

Cοmpοunding refers tο the prοcess οf repeatedly applying a mathematical οperatiοn tο a quantity, using the result οf each οperatiοn as the input fοr the next οperatiοn.

In mathematics, cοmpοunding refers tο the prοcess οf repeatedly applying a mathematical οperatiοn tο a quantity, using the result οf each οperatiοn as the input fοr the next οperatiοn. This is οften used in expοnential grοwth and decay prοblems.

Cοmpοunding can alsο be dοne mοre frequently, such as mοnthly οr daily. In these cases, the interest earned in each periοd is added tο the principal at the end οf that periοd, and then the new tοtal is used as the principal fοr the next periοd's interest calculatiοn.

In finance and investing, cοmpοunding refers tο the prοcess οf earning cοmpοund interest οr returns οn an initial investment, and then reinvesting thοse earnings tο earn additiοnal interest οr returns in the future.

In οther wοrds, cοmpοunding is the idea that an investment can grοw expοnentially οver time, as interest οr returns are earned οn bοth the principal investment and any accumulated interest οr returns.

Cοmpοunding can wοrk fοr οr against an investοr, depending οn the rate οf return and the length οf time the investment is held.

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Answer:

Step-by-step explanation:

To determine the number of water tables set up for the Bridge Run, we need to divide the total length of the run by the distance between the water tables.

The total length of the run is given as 12 km.

The distance between the water tables is 600 meters.

To convert the units, we can express the total length of the run in meters:

12 km = 12,000 meters

Now we can divide the total length of the run by the distance between the water tables:

12,000 meters ÷ 600 meters = 20

So there are 20 water tables set up for the Bridge Run.

Complete options are;

A) Paired t-test for means

B) Paired Z-test for means

C) Z-test for proportion

D) t-test for means

E) Z-test for means

F) t-test for proportion

Answer:

B) Paired Z-test for means

Step-by-step explanation:

We are told that the distances travelled are normally distributed.

We are also trying to find out if the average distance travelled by the Titleist Pro V1 golf balls is farther than that of the Callaway Chrome Soft golf balls.

Also, the standard deviation of both cases are known.

Thus, this is where Paired Z-test for means is used.

According to the desired test, the correct option is:

a. paired t-test for means

At the null hypothesis, it is tested that ball 1 does not travel farther than ball 2, that is, the subtraction is of at most 0:

\(H_0: \mu_1 - \mu_2 \leq 0\)

At the alternative hypothesis, it is tested if it travels farther, that is:

\(H_1: \mu_1 - \mu_2 > 0\)

Considering the three bullet points above, the correct option is a.

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9x +14

aisdlkjfhajlsdfhlakjsdhfla

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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Answer:

78/16=

39/8=

19.5/4= 4.80805

16 is 20.51% of the number 78.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let x percent of 78 is 16.

So, x% of 78 = 16

x/100 (78)= 16

78x = 1600

x= 1600/78

x = 20.51%

Hence, 20.51 percent of 78 is 16.

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The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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To find the mean of a set of numbers, you need to add up all the numbers and then divide by the number of numbers in the set.

In this case, the mean of the four numbers is 12, which means the sum of those four numbers is 4 × 12 = 48. The mean of the other six numbers is 22, which means the sum of those six numbers is 6 × 22 = 132. The sum of all ten numbers is therefore 48 + 132 = 180.

To find the mean of all ten numbers, we need to divide the sum by the number of numbers, which is \(\frac{180}{10}\) = 18. Therefore, the mean of all ten numbers is 18.

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

7,654

Step-by-step explanation:

Arrange the digits in order to create the highest possible number.

7000 + 600 + 50 + 4 = 7654

Answer:

P = 7

Step-by-step explanation:

Move all terms containing p to the left side of the equation.

Answer:

x+2 + (-5x+4)/(x^2-2x+1)

See attached

Step-by-step explanation:

Equivalent expression to represent the given division in quotient , remainder and divisor form is equals to \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\).

" Division is defined as the distribution of the given quantity into equal parts as per the conditions apply."

According to the question,

Given expression,

\((x^{3} -8x+6)\) ÷ \((x^{2} -2x +1)\)

As shown in long division we get,

Quotient \(q(x) = x+2\)

Remainder \(r(x) = -5x+4\)

Divisor \(b(x) = x^{2} -2x +1\)

Represent quotient , remainder and divisor in an equivalent form of given expression we get,

\((x^{3} -8x+6)\) ÷ \((x^{2} -2x +1)\) = \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\)

Hence, equivalent expression to represent the given division in quotient , remainder and divisor form is equals to \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\).

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The transformation illustrated in the figure is translation.

Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.

Analysis:

Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.

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Answer:

Answers - 4

Correct Answer - 1

Probability - 1/4

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

The coefficient of 2(3)(6)Q is 2(3)(6)

The expression is given as:

2(3)(6)Q

For an expression

AQ

Where A is a number or product of numbers and Q is a variable

The number A represents the coefficient

By comparing:

AQ and 2(3)(6)Q

We have

A = 2(3)(6)

Hence, the coefficient of 2(3)(6)Q is 2(3)(6)

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Answer:

(0,8)

Step-by-step explanation:

this is my guess because 90° would move it from axis to axis, switching the x & y numbers. i could be wrong though & my appologies if i am incorrect

Answer:

y = 2x + 1 ;

y - 3 = - 3(x - 1) ; y = - 3x + 6 ;

Step-by-step explanation:

Given the data:

Sidewalk 1:

x __ y

2 _ 5

0 _ 1

Sidewalk 2:

x __ y

1 _ 3

3 _ -3

Equation for sidewalk 1 in slope - intercept form:

Slope intercept form:

y = mx + c

c = intercept ; m = slope

m = (change in y / change in x)

m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2

Y intercept ; value of y when x = 0

(0, 1) ; y = 1

Hence, c = 1

y = 2x + 1

Sidewalk 2:

Point slope form:

y - y1 = m(x - x1)

m = slope

m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3

Point (x1, y1) = (1, 3)

y - 3 = - 3(x - 1)

To slope intercept form:

y - 3 = - 3(x - 1)

y - 3 = - 3x + 3

y = - 3x + 3 + 3

y = - 3x + 6

Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.

Using substitution method :

y = 2x + 1 - - - (1)

y = - 3x + 6 - - - (2)

Substitute (1) into (2)

2x + 1 = - 3x + 6

2x + 3x = 6 - 1

5x = 5

x = 1

From (1)

y = 2(1) + 1

y = 2 + 1

y = 3

Coordinate of the point of intersection = (1, 3)

Answer: Use Mathaway it helps with these questions

Step-by-step explanation:

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An expression having five terms which is equivalent to above term is :

The expression  8x² + 3x² + 3y with five different terms by rearranging the term is 7x² + 4x² + 5y - 2y.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

As per the given expression,

8x² + 3x² + 3y

⇒ (8x²) + (3x²) + 3y

⇒ (7x² + x²) + (3x²) + (5y - 2y)

⇒ 7x² + (x² + 3x²) + (5y - 2y)

⇒ 7x² + 4x² + 5y - 2y.

Hence "The expression  8x² + 3x² + 3y with five different terms by rearranging the term is 7x² + 4x² + 5y - 2y".

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Answer:

-145

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

You do rise over run

I hope this helps!!

Thus, the diameter and the circumference of the circular hole are 3.0 inches and 9.42 inches respectively.

The circumference of a circle is its length. Either the circle's diameter or radius can be used to calculate the circumference.

Given data:

Radius of circular hole r - 1.5 inches.

So,

Diameter = 2 * radius

Diameter of circular hole - 2*1.5 = 3.0 inches.

Now,

circumference of hole :

c = 2πr

c = 2*3.14*1.5

c = 9.42 inches.

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