Find the exact circumference of circle by using the given polygon.

b. circumscribed square with side 10 feet long

aₙ = 5*(1/5)^(n - 1) is the explicit formula of the sequence.

What is Sequence and example ?

The recursive relation for a geometric sequence is

aₙ = aₙ₋₁*R

where R is the common ratio.

We could write this in a general form as:

aₙ = a₁*(R)^(n - 1)

where a₁ is the first term of the sequence.

In this case we know that:

R = 1/5

And that:

a₆ = 1/625

Then we can replace these values in the above relation to get:

a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)

1/625 = a1*(1/3125)

(3125/625) = a1 = 5

Then the formula will be:

aₙ = 5*(1/5)^(n - 1)

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[tex]Factor\ by\ grouping:\\\\2x^2+3x-35\\\\(2x-7)(x+5)\\\\2x-7=0\ and\ x+5=0\\\large\boxed{\therefore x=\frac{2}{7}\ and\ x=-5}[/tex]

Answer:  2x^2+3x-35=(x+5)(2x-7)

Step-by-step explanation:

[tex]2x^2+3x-35=\\2x^2+10x-7x-35=\\(2x)(x+5)-(7)(x+5)=\\(x+5)(2x-7)[/tex]

We can say that ΔHJF ≅ ΔFGH under RHS condition.

So,

To Prove: ΔHJF ≅ ΔFGH

So, ΔHJF ≅ ΔFGH under RHS condition.

(Refer the table given below)

Therefore, ΔHJF ≅ ΔFGH

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The sum of two given expressions will be -

h(x) = [tex]-3x^{-3} -8x^{2} -17x[/tex].

We have two expressions.

We have to add them.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation in it.

According to the question -

f(x) = [tex]-4x^{2} -3x^{-3} -4x[/tex]

g(x) = [tex]-4x^{2} -9x -4x[/tex]

Now -

h(x) = f(x) + g(x) =  [tex]-4x^{2} -3x^{-3} -4x[/tex] + ( [tex]-4x^{2} -9x -4x[/tex])

h(x) = [tex]-3x^{-3} -8x^{2} -17x[/tex]

Hence, the sum of two given expressions will be -

h(x) = [tex]-3x^{-3} -8x^{2} -17x[/tex]

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Answer:

63 hours

Step-by-step explanation:

4 workers = 21 hours

12 workers = g

[tex] \frac{21}{4} \times 12 \\ = 63hours[/tex]

(a )7  squares wide grid

(b) If the grid is 20 squares tall, then

number should replace A to give the vertical

axis the best scale for plotting the data . A = 0.1

According to the data,

(a) x = 35  one square represents five       {calculate the width

    there need 7 compartment in x axis.                 proportionally}

    so the answer is 7 square wide

(b) The largest value of distance from store is 1.9 km

     the grid is 20 square tall  {when A = 0.1, 20× 0.1 = 2 km > 1.9 km}

     so A = 0.1

The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.

The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.

Before you start teaching them to use the grid method for these slightly more advanced multiplications, you should first check that they:

- have a solid understanding of times tables;

- can multiply any number by 10;

- can multiply one-digit numbers by multiples of 10 (for example, 6 x            

   20, 8 x 70 and so on);

- can multiply two multiples of 10, (for instance, 40 x 90);

- can reliably add four numbers, some of which are three-digit.

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(a )7  squares wide grid

(b) If the grid is 20 squares tall, then

number should replace A to give the vertical

axis the best scale for plotting the data . A = 0.1

According to the data,

(a) x = 35 five squares are represented by one; determine the width.

In the X axis, 7 compartments are required. proportionally}

the response is 7 square broad.

(b) 1.9 km represents the furthest distance from the store.

When A = 0.1, the grid has 20 squares, so 0.1 = 2 km is greater than 1.9 km.

so A = 0.1

When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.

What is the multiplication grid method?

When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.

Prior to instructing students to perform these marginally more difficult multiplications using the grid method, you need make sure the following:

- possess a firm grasp of the times tables;

- is capable of ten times any number;

- has the ability to multiply one-digit values by multiples of 10 (for instance, 6 x).

8, 20, and so forth);

- is capable of multiplying two multiples of 10, such as 40 x 90;

— able to add four numbers, some of which are three digits, with reliability.

Answer:

x = 15

Step-by-step explanation:

Vertical angles, also called opposite angles sometimes, are angles that across from each other.

They are congruent meaning they have equal measurement

We can write the following equation based on these information to find the value of x :

2x + 2 = 32 subtract 2 from both sides

2x = 32 divide both sides by 2

x = 15

Using factorization, In order to have at least $1250 profit, manufacturer should sell the product between $4500 and $500.

Given,

Revenue (R) = 7x

Cost (C) = 1000 + 2x + 0.001x²

Profit ≥ $1250

Using factorization,

⇒ profit = revenue − cost

⇒ Profit= 7x -  1000 - 2x - 0.001x²

⇒  7x -  1000 - 2x - 0.001x² >= 1250

⇒  5x - 0.001x^2 >= 2250

⇒  0.001x^2 - 5x <= - 2250

⇒  0.001x^2 -5x + 2250 >= 0

multiplying 1000 on both sides

⇒  1000x^2 - 5000x + 2250000 > = 0

⇒  x(x - 500) - 4500(x - 500) >=0

⇒  (x- 500) + (x - 4500) >= 0

⇒  x = 500, 4500

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The area of the enlarged photograph will be 16 times the area of original photograph.

For the given scale in the question;

Noah enlarges a photograph using the scale 1 inch : 4 inches.

Let the original length of photograph is 'L'.

Let the original width of photograph is 'B'

Old Area  = LB

Thus, the length and width of the scale will get increased by 4 times.

The new length and width will be 4L and 4B.

Thus, the new area will be;

New Area = (4L)(4B)

New Area = 16 LB

New Area = 16 × (old area)

Thus, the new area of the photograph is increased by 16 times.

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The values to the nearest tenth are:

a. 1. 43

b. 26. 41

c. 11. 69

d. 4. 57

e. 15. 77

Given the equations;

a. 4. 186 - 2. 758

Find the difference

1. 428

1. 43

b. 72. 05 - 45. 64

Find the difference

26. 41

c. 82. 156 - 41. 31 - 29. 16

Find the difference

11. 686

11. 69

d. 17. 054 - 11. 65 - 0. 83

Find the difference

4. 574

4. 57

e. 29. 16 - 12. 48 - 0. 91

Find the difference

15. 77

Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77

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By combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2

Given,

The expression = 5+(4g-7)

Expand the terms by opening bracket

5+(4g-7)=5+4g-7

Rearrange the terms

5+4g-7= 4g+5-7

Combine like terms

4g+5-7= 4g-2

Hence, by combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2

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Answer:

13 hours to earn the same amount and 14 hours to earn more

Step-by-step explanation:

Water molecules forming hydrogen bonds with one another. The partial negative charge on the O of one molecule can form a hydrogen bond with the partial positive charge on the hydrogens of other molecules. Water molecules are also attracted to other polar molecules and to ions.

16.  Valid

Reason: congruency can be represented by the symbol ≅ hence  the statement still reads <1 and <2 are congruent.

17. Invalid

Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.

18. Valid

Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.

19. Valid

Reason: The conclusion of the battery dying is in support of the premise giving which is leaving the light on when the car is off.

20.Valid

Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment

21. Valid

Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club

An argument is vailed when the premises or conditions of the argument are all true. when some part of the argument is not true then it will lead to invalid conclusion.

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Explanation:

Let's find the width of the microscope slide in meters.

1000 mm = 1 m

1 mm = 1/1000 m

1 mm = 0.001 m

50*(1 mm) = 50*(0.001 m)

50 mm = 0.05 m

50 mm = 5 × 10^(-2) m

The microscope slide is 5 × 10^(-2) meters across. Divide this over the width of one hair.

5 × 10^(-2) ÷ 2.5 × 10^(-5)

(5/2.5) × 10^(-2 - (-5) )

2 × 10^(-2 + 5)

2 × 10^3

This converts to the number 2000. So we could have 2000 strands of hair side by side.

Answer:

(A)  2 * 10^3.

Step-by-step explanation:

50 millimeters = 0.05 m

= 5 * 10^-2 meters.

So, we divide this by the diameter of 1 hair:

= (5 * 10^-2) /  (2.5 * 10 ^ - 5)

= (5/2.5) * (10/^-2 / 10^-5)

= 2 * 10^(-2-(-5))

= 2 * 10^3.

Answer: ask the teacher to break it down for u

Step-by-step explanation:

that simpile

y=6x-26, Although I didn't really get what were you looking for

Based on the information, it can be inferred that the number that is the change in height of the elevator is 12 feet.

To complete the table we must take into account the height of the elevator at a given time of seconds. Additionally, we must take into account that the elevator goes down 12 ft every second. So the table would look like this:

To calculate the height of the basement with respect to the first floor, we must take into account the following information:

To calculate this height we must multiply the time it takes for the elevator to go down to the basement by the distance it travels each second.

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Answer:

50.24

Step-by-step explanation:

d equals 2r r=4 four squared equals 16 16 * π = 50.24

The value of the variable x such that the two lines are perpendicular to each other is equal to 106 / 5.

In accordance with geometry, two lines are perpendicular to each other if and only if the measure of the angle between the two lines is equal to 90°. Then, the angle SXW must be equal to 90° and we need to solve for x in the following equation:

5 · x - 16 = 90

5 · x = 106

x = 106 / 5

The value of the variable x such that the two lines are perpendicular to each other is equal to 106 / 5.

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The solution of the given system of equations is (-2, -1)

A system of equation can be solved using:

The given system of equations:

2x + 4y = -8  ............   (1)

-5x + 4y = 6  .............. (2)

Since the coefficients of y is the same in both equations, variable y will be immediately cancelled out if we use elimination method.

Substract equation (2) from equation (1)

2x + 4y = -8

-5x + 4y = 6 –

7x         = -14

  x         = -2

Substitute x = -2 into equation (1):

2x + 4y = -8

2. (-2) + 4y = -8

-4 + 4y = -8

Add 4 to both sides

-4 + 4y + 4 = -8 + 4

4y = -4

 y = -1

Hence, the solution is (-2, -1)

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Answer:

yes!

Step-by-step explanation:

that is the solution above

The value of the angle x is equal to 53°

A) From the image attached, we can solve for the angles as follows;

m ∠RPB = 180 - 115 = 65°

Thus, the angle m∠x =  180° - 65° - 62°

= 53°

B) m∠RPB + m∠PRD = 180° (Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

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The person who is faster is Jeff.

Jeff says "I can run 7 kilometers per hour!.

On the organs hand, it can be seen that Cameron says "I can run 100 meters per minute!"

It should be noted that that 1000km = 1 meter and that kilometers is higher than meter.

Therefore, the person who is faster is Jeff.

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   For the given parabola:

 We have the following data.

v = (-3,-4)

f = (-3, -3.75)

d  = y = -4.25

We define what a parabola is

 The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.

The canonical equation of a parabola is given by

(x - h)² = 4p(y - k)

The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.

  The parabola equation is:

y = x² + 6x + 5

y - 5  + 9 = x² + 6x + 9

y + 4 = x² + 2(3x) + 3²

y + 4 = (x + 3)²

This means that the vertex of this parabola is

v = (h, k)

v = (-3,-4)

f = (-3, -4 + 1/4)

f = (-3, -3.75)

d = y = -4 - 1/4

d  = y = -4.25

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Answer:

I think B- 8

The simplified form of given complex fraction is (1/xy - 1/y²) / (1/x²y - 1/xy²) =  x

In this question,

we have been given a fraction 1/x y - 1/y² / 1/x²y - 1/x y²

We need to simplify given complex fraction.

First we simplify numerator.

1/x y - 1/y²

= y² - xy / xy³

= y(y - x) / xy³

= y - x / xy²

Now we simplify denominator.

1/x²y - 1/x y²

= xy² - x²y / x³y³

= xy(y - x) / x³y³

= y - x / x²y²

So given fraction would be,

1/x y - 1/y² / 1/x²y - 1/x y²

= y - x / xy² / y - x / x²y²

= (y - x / xy²) × (x²y² / y - x )

= x²y² / xy²

= x

Therefore, the simplified form of given complex fraction is 1/x y - 1/y² / 1/x²y - 1/x y² = x

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Answer:

x is 20.57

Step-by-step explanation:

-1 minus 17 is -18. -18 divided by -7/8 is 20.57

Answer:

Step-by-step explanation:

-7/8x+17=-1

Now we need to find what +17 = -1

-1 - 17 = -18

Now we find out how many times -7/8 go into -18

-18 / (-7/8) = 20.57412857

So x = 20.57412857

As a fraction, that would be 144/7

Hope this helps ^^

Answer:

1. There exists at least one square that is not a rectangle.

2. Every segment has a midpoint.

Step-by-step explanation:

1.The given statement is: "All squares are rectangles". We have to find the negation of the statement. The statement that gives the negative meaning of the given statement is called the negation of the given statement. So the negation of the given statement is, "There exists at least one square that is not a rectangle".

2.Every segment has a midpoint.

Answer:

Q.17  9 2/5

Q.18 5

Q.19  13

Step-by-step explanation:

Answer:

[tex]c^6h^3[/tex]

Step-by-step explanation:

         [tex]hhh=h^3\\c^3c^2h^3c\\c^3c^2c\\ccc = c^3\\=c^{3 \cdot 2}\\=c^6\\=c^6h^3[/tex]