Find an explicit formula for the geometric sequence -1,-7,-49,-343,.... Note : the first term should be d(1) . d(n) =

Yes,  negative 6 a rational number because it can be represented as a fraction of two integers.

A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not zero.

It is any number that can be written in the form "a/b," where "a" and "b" are integers and "b" is not equal to zero.

The number -6 can be expressed as -6/1.

Here, -6 is the numerator and 1 is the denominator.

Both the numerator and denominator are integers, and the denominator is not zero.

Therefore, -6 can be represented as a fraction of two integers and meets the definition of a rational number.

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Answer:

Equation: y = 2x

Graph: see attachment

Step-by-step explanation:

Pieces of paper = x

Number of Valentines = y

The equation is a proportional equation and can be represented as y = kx

k is the constant of proportionality

k = y/x

Using (2, 4),

k = 4/2 = 2

To find the equation, substitute k = 2 into y = kx

Thus:

y = 2x

The graph has been plotted and attached below.

Answer:

5cm

Step-by-step explanation:

Given data

volume = 225π cm³

Height= 9cm

r= ???

Volume of cylinder

v=πr^2h

substitute

225π= π*r^2*9

225= r^2*9

r^2= 225/9

r^2= 25

r= √25

r= 5cm

Hence the radius is 5cm

Answer:

0.583

Step-by-step explanation:

You have a total of 12 coins in your pockets (3 nickels + 4 dimes + 5 quarters).

There are 7 nickels/dimes (3 + 4), meaning you have a 7/12 chance of picking either a nickel or a dime.

7/12 simplifies to 0.583.

You have a 0.583% chance of picking either a nickel or a dime.

Answer:

2

Step-by-step explanation:

10-8

Answer:

Step-by-step explanation:

2

Answer:

[tex]y = -4[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0, -4)[/tex]

[tex](x_2,y_2) = (5, -4)[/tex]

Required

Determine the equation

First, calculate the slope using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-4 - (-4)}{5 -0}[/tex]

[tex]m = \frac{-4 +4}{5}[/tex]

[tex]m = \frac{0}{5}[/tex]

[tex]m = 0[/tex]

The equation is then calculated using:

[tex]y = m(x -x_1) + y_2[/tex]

This gives:

[tex]y = 0(x - 0)-4[/tex]

[tex]y = 0-4[/tex]

[tex]y = -4[/tex]

Answer:

A+S=22

A=S/2+4

Multiply second equation by 2 and rearrange.

2A-S=8

Add equations 1 and 3.

3A=30

A=10

Substitute for A in either of the first 2 equations to get

S=12

Step-by-step explanation:

Answer:21

Step-by-step explanation:

Answer:

Perpendicular to base

Step-by-step explanation:

The cut creates two rectangular prisms (each angle must be 90 degrees)

The cut is perpendicular to the base

Answer:

[tex] y = 4 [/tex]

Step-by-step explanation:

Given:

[tex] y = \frac{7x + 1}{3x - 6} [/tex],

To find the value of y, let's find x by solving 3x = 15.

3x = 15

Divide both sides by 3

x = 15/3

x = 5

Plug in the value of x into [tex] y = \frac{7x + 1}{3x - 6} [/tex]

[tex] y = \frac{7(5) + 1}{3(5) - 6} [/tex]

[tex] y = \frac{35 + 1}{15 - 6} [/tex]

[tex] y = \frac{36}{9} [/tex]

[tex] y = 4 [/tex]

Answer:

None, the sum of those angles does not equal 180 degrees

Answer:

The answer of this question is none. The sum of these three angles is 160°. So, none of the triangles can be constructed with angles measuring 60°, 60° and 40°

The sum of three angles is 160°

so, none of the traingle can be constructed with angles measuring 60°,60°and 40°.

Step-by-step explanation:

Hope it is helpful....

a^2 + b^2 = c^2

A-15.1

B-13

Answer:

Diagonal = 10.44 m

Step-by-step explanation:

(3×3)+(10×10) = 109

Sq rt 109 = 10.44 m

Answer:

What question are you referring to? a question references question 5 and 6 which aren't displayed.

The answer is,

[tex]x > - 7[/tex]

hope it helps.

Answer:

x>-7

Step-by-step explanation:

4x-2x>-8-6

-2x>-14

x>-7

Postulate/theorem = SAS postulate

Given :

Since 2 sides and an included angle is equal in these two triangle, they are said to be congruent under the SAS congruence postulate.

Postulate/theorem = ASA postulate

Given :

In triangle KDS and triangle KWS :

Since 2 angles and an included side is equal in these two triangles, they are said to be congruent under the ASA congruence postulate.

Postulate/theorem = AAS theorem

Given :

In triangle ACB and triangle BED :

Since two angles and one side is equal in these two triangles, they are said to be congruent under the AAS theorem.

Answer 1 maybe

Step-by-step explanati

Answer:

The value of x is 3.

Step-by-step explanation:

The steps are :

4.5 = 1.5x

4.5 ÷ 1.5 = 1.5x ÷ 1.5

3 = x

Answer:

1

Step-by-step explanation:

Hope this helps and have a great day!!!!!

Answer:

[tex]1\ Lt = \pounds 1.157[/tex]

Step-by-step explanation:

Given

[tex]\pounds 1 = 0.864\ Lt[/tex]

Required

Determine the worth of 1 Lt

[tex]\pounds 1 = 0.864\ Lt[/tex]

Divide both sides by 0.864

[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]

[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]

[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]

[tex]1\ Lt = \pounds 1.157[/tex] --  approximated

Answer: Subtract the equations in system A.

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

Explanation:

The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.

There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.

For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y

So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.

Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.

Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.

Answer:

41

Step-by-step explanation:

Answer:)

Step-by-step explanation:

Answer:

slope= (-1)

...................

Answer:

Step-by-step explanation:

the factors of 9 are 1,3,9

Answer:

1, 3, 9

[tex] \\ \\ \\ \\ [/tex]

Answer:

67

6+7=13

76-67=9

Done!

Answer:

Step-by-step explanation:

y = (1.066)x

The equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

The sales tax is the amount charged on the price of goods and services.

Let x be the original cost for the meal

Let y be the cost after the sales

If the sales tax rate in Tyler's county is 6.6%, the tax charged is expressed as:

0.066 of theoriginal cost
0.066x

Cost after tax = original cost + tax
Cost after tax = x + 0.066x
y = 1.066x

Hence the equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

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