Using the same pictorial sequence from Growing Dots 1 and Growing Dots 2, but a different beginning point, describe the pattern you see. Assuming the sequence continues in the same way, how many dots are there at 100minutes? Create a table and graph. Write an equation for the number of
dots at tminutes.

The required simplified value of the given expression is given as -13/20.

Given that,
An expression is given, −1 4/5 + (−1/4) + (−1/5) we have to determine the sum of the expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
= -1 4/5 + (-1/4) + (-1/5)
= -1/5 -1/4 -1/5
= -2/5 -1/4
= -13/20

Thus, the required simplified value of the given expression is given as -13/20.

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Answer: The correct answer is x=−1/5  and y=−1/5

Step-by-step explanation:

Solve the System by substitution:

y=6x+1 and 7x−2y=−1

Solve y=6x+1 for y:

y=6x+1

Substitute 6x+1 for y in 7x−2y=−1:

7x−2y=−1

7x−2(6x+1)=−1

−5x−2=−1 (Simplify both sides)

−5x−2+2=−1+2 (Add 2 to both sides)

−5x=1

−5x/−5 = 1/−5  (Divide both sides by -5)

x=−1/5

Substitute −1/5 for x in y=6x+1:

y=6x+1

y=6(−1/5)+1

y=−1/5   (Simplify both sides)

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Answer:

can you pls clear your questions?

Answer:

$145

Step-by-step explanation:

The revenue - the cost is the profit.

14x - (1708 + 7x)  Distribute what is in the parentheses by -1

14x -1(1780) -1(7x)  Simplify

14x - 1780 -7x  Combine like tersm

7x - 1780  Plug in 275 for x

7(275) - 1780

1925 - 1780

145

The possible values for n and m are:

m = √5 and n = 7/5

In this question, we have been given the locations of numbers n and m.

From their locations in the diagram, we need to find the possible values for n and m.

From the location of n we can say that the value of n is a rational number but not an integer.

We know that rational numbers are of the form p/q where p, q are integers with q ≠ 0

And the value of m is an irrational number.

So, the possible value of n am m:

m = √5 and n = 7/5

Therefore, the possible values for n and m are:

m = √5 and n = 7/5

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If f(x) = x², the graph of g(x) = f(x) is x².

What is a Graph of a function?

The graph of a function f is the set of all points in the plane of the form (x, f(x)).

How to find the graph of a function:

You must choose x-values and insert them into the equation in order to graph a function. You will obtain a y-value if you enter those values into the equation. Your coordinates for a single point are made up of your x-values and your y-values.

We are given the function; f(x) = x²

Also, we want to find the graph of g(x) = f(x)

From the above, it means that we put x in place of x for function f(x) to get the function g(x).

so, g(x) = f(x)

     g(x) = (x)²

Hence the graph of g(x) = f(x) is x².

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The simplification of the complex fraction is found as 11/14.

For the given question, the expression is-

-2/7  +  1 1/3​

To convert mixed fraction 1 1/3​ i improper fraction, multiply 3 with 1 and add 1.

1 1/3​  = 1 x 3 + 1 /3

1 1/3​  = 4/3 Put in main equation.

-2/7  +  4/3

Simplify the expression.

= -2 x 3 + 4 x 7/ (7 x 4)

= -6 + 28 / 28

= 22/28

Divide both with 2

= 11/14

Thus, the simplification of the complex fraction is found as 11/14.

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The correct question is

Simplify the complex fraction.  

-2/7 + 1 1/3​

The value of x for the triangle by the mid point theorem is obtained as 5.

For the given diagram in the question.

As, the sides of the triangle is divided in equal parts.

By the mid -point theorem-

(1/2)24 = x + 7

12 = x + 7

x = 12 - 7

x = 5

Thus, the value of x for the triangle by the mid point theorem is obtained as 5.

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Answer:

try to show it step by step

The value of ∠FED is 120° and ∠CBD is complementary to ∠FDE

Complementary angles are two angles that sum up to 90°

For example 60° and 30° are complementary.

Either angle is called the complement of the other angle.

∠FED, ∠FDE and ∠DFE are in a triangle.

so,

∠FED + ∠FDE  +  ∠DFE = 180°

16x - 8 + 2x + 9 + 35 = 180 ( sum of angles in a triangle)

18x +36 = 180

18x = 180 - 36

18x = 144

x = 144/18

x = 8

so ∠FED = 16x - 8

Substitute x = 8 into the equation above we have

16(8) - 8 = 128 - 8 = 120°

∠FDE = 2x + 9

∠FDE = 2(8) + 9 = 25°

∠BED = 6x + 12

∠BED = 6(8) + 12

∠BED = 48 + 12

∠BED = 60°

∠CBD = -2x + 81

∠CBD = -2(8) + 81

∠CBD = 65°

so since ∠CBD = 65° and 90 - 65 = 25°

∠CBD is complementary to ∠FDE

In conclusion, ∠FED is 120° and ∠CBD is complementary to ∠FDE

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The type of angles have the same measure after being rotated, reflected, or translated in a coordinate plane is a I. II. and III.

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation is basically of two major divisions

Non rigid transformation are the transformation where the dimension or size of the object will be different from the image, example is dilation

In rigid transformation, the dimensions of the object is maintained through out the transformation examples of rigid transformation are

Since the transformation types mentioned are all rigid transformation hence all the angles will remain same

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The Sum of dollars in decimal is not a whole number.

Whole numbers are made up of natural numbers plus the number zero. In mathematics, the set of whole numbers is symbolized by the symbol W and is given as W = {0, 1, 2, 3, 4, …}.

To calculate a number of dollars that is not a whole number.

As an example, consider the sum of $5.89 and $1.45:

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

sum of original whole + sum of decimal whole

$6 + $1 = $7

Remaining decimal: $1.34 - $1 = $0.34

$7 + $0.34 = $7.34

Therefore $7.34 is not a whole number

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An input value that would produce the same output value for the first functions on the graph is 0. Also, an input value that would produce the same output value for the second functions on the graph is 3.

In this exercise, you are required to determine the input value that would produce the same output value for the two functions on the graph. This ultimately implies that, the two functions would be equated as shown below.

From the information provided above, the two functions include the following:

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

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

Equating the two equations, we have:

f(x) = g(x)

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

-2x/3 -2/3 = x/3 - 2/3

-2x/3 - x/3 = - 2/3 + 2/3

x = 0.

For the second function on the graph, the coordinates are as follows:

f(x) = (-3, 3), (0, 1), (3, -1)

g(x) = (-3, -3), (0, -2), (3, -1)

Therefore, the above function produces the same input value (x) at point 3.

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Answer:

D

Step-by-step explanation:

edge 23

The regular price of the tally set is $300.

From the information Illustrated, Great by is reducing by 250% the regular price of a tally set selling it for $225.

Let the regular price be represented by x.

Therefore, x - (25% × x) = 225

x - 0.25x = 225

0.75x = 225

Divide

x = 225 / 0.75

x = 300

The price is $300.

Note that the above percentage in the question is 25% and not 250%.

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Answer:

x=2

Step-by-step explanation:

You can put the equation as 7=6x-5

Move equation

12=6x

Divide

x=2

The expected value if you play this game will be -$0.205.

Let the number of gold, silver, and black marbles be P1, P2, and P3, respectively.

Given, The bag contains,

Number of gold marbles (P1)  = 3

Number of silver marbles (P2) = 5

Number of black marbles (P3) = 26

Also given,

The winning value if a gold marble is selected = $3

The winning value if a silver marble is selected = $2

The losing value if a black marble is selected = $1

Probability = Expected value/ Sum of the total number of events

Probability of picking a gold marble,

P1 = 3/ (3+ 5+ 26)

   = 3/34.

Probability of picking a silver marble,

P2 = 5/ (3+ 5+ 26)

   = 5/34.

Probability of picking a black marble,

P3 = 26/ (3+ 5+ 26)

   = 26/34.

The expected value if you play the game will be,

Value = ($3) P1 + ($2) P2 + (-$1) P3

         = ($9/34) + ($10/34) - ($26/34)

         = - ($7/34)

         = -$ 0.205

Thus, you will face a loss of 0.205 cents.

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The loan given has a rate of 0.53%

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same, unlike compound interest where we add the interest of previous years principal to calculate the interest of the next year.

The formula of simple interest is given as;

S.I = P(1 + RT)

Substituting the values into the formula;

(9000 + 336) = 9000(1 + r * 7)

9336 = 9000 + 63000r

Collecting like terms

336 = 63000r

r = 0.0053

r = 0.0053 * 100

r = 0.53%

The rate on the loan is 0.53%

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Answer: Slope is 0

Step-by-step explanation

the graph's points doesn't change its value on the y - values but the x values change by 1 meaning the slope is 0/1 meaning there is no slope

Answer:

Loan analysis is an evaluation method that determines if loans are made on feasible terms and if potential borrowers can and are willing to pay back the loan. It checks the eligibility of the potential borrower against the criteria set forth for lending. Loan analysis helps in assessing the skills and financial knowledge of the borrower to ...

Answer:

ln A / ln 2

Step-by-step explanation:

Using the change of base rule: ln A / ln 2

If the fuel efficiencies of each of the cars that week is  20 gallons of gas and  25 gallons of gas.

Let x represent the gallons consumed by car 1

Let y represent gallons consumed by car 2

Formulate an equation:

30x+40y = 1600      equation 1

x+y = 45                equation 2

Substituting equation  2 into equation 1,

30x+40(45-x) = 1600

30x+ 1800-40x = 1600

-10x+1800 = 1600

-10x = -200

Divide both side by -10x

x = -200/-10

  x = 20

Substitute value of x into equation 2

x+y = 45

20+y = 45

     y = 25

Hence,

Car 1 consumes 20 gallons of gas and Car 2 consumes 25 gallons of gas.

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Answer:

1/2a (4a+7)

Step-by-step explanation:

First You Divide:7/2a+ 2a^2

Rearrange Terms: 2a^2+ 7/2a

Find the Common Factor: 1/2(4a^2+7a)

Rewrite in the Fraction Form: 1/2a (4a+7)

I know this is the right answer because I learned this in 5th grade.

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Answer:

321 is the next number that comes in the calculator.

Regarding the velocity and acceleration functions, it is found that:

b) The particle is moving to right on these following intervals: (0,1) U (3,10).

c) The velocity when the acceleration is of zero is: -1 m/s.

A particle is moving to right when it's velocity is positive.

In this problem, the velocity function is presented as follows:

v(t) = 3t² - 12t + 9.

The velocity function is a concave up quadratic function, which is positive to left of the smaller root and to the right of the larger root.

The roots of the function are given as follows:

v(t) = 3(t² - 4t + 3)

Then:

3(t² - 4t + 3) = 0

t² - 4t + 3 = 0

(t - 1)(t - 3) = 0.

Considering the domain of the function, the intervals in which the car is moving right are:

(0,1) U (3,10).

The acceleration is given by the following equation:

a(t) = 6t - 12.

It is of zero when:

6t - 12 = 0

6t = 12

t = 12/6

t = 2.

The velocity at this instant is of:

v(2) = 2² - 4(2) + 3 = -1 m/s.

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A few points (co-ordinates) for the given equations are :

(1,-1/2),(-1,1/4),(0,1),,(2,-1/4)

These points are called Coordinates, where the horizontal line denotes the x-axis and the verticle line is the y-axis.

Each point is identified by both x and y coordinates. A point's x-coordinate is a value that indicates how far the point is from the horizontal or x-axis origin.

y denotes the distance of the point on the vertical line from the origin

x denotes the distance of the point on the horizontal line from the origin

In the given equation y=-1/3x-1

We can substitute x with any integer (i.e any number among the positive or negative numbers)

Putting, x=1 in the given equation we get

y=-1/(3x1)-1

⇒ y=-1/3-1

⇒y=-1/2

Thus the coordinate when x=1 is (1,-1/2)

Similarly by putting x=0, 1, 2, -1 ;we get the following co-ordinates respectively

(0,1), (1,-1/2), (2,-1/4),(-1,1/4)

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