Find the 66th term in the following arithmetic sequence: -92,-85,-78,-71,.......

Answer:

52 and 54

Step-by-step explanation:

These two numbers are consecutive, and 52+54=106.

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Work Shown:

x = some even integer

x+2 = next even integer after x

x+(x+2) = 2x+2 = sum of the consecutive even integers

2x+2 = 106

2x = 106-2

2x = 104

x = 104/2

x = 52

x+2 = 52+2 = 54

The two consecutive even integers are 52 and 54

Check: 52+54 = 106

The answer is would be B.

Answer:

C) 48:5

Step-by-step explanation:

8 feet is 96 inches. It would be a 96:10 ratio, or simplified, a 48:5 ratio

9514 1404 393

Answer:

  A) 504

  B) 8

Step-by-step explanation:

The statement of proportionality can be written as the equation ...

  m = kr²

Then we can find k from ...

  k = m/r² = 14/2² = 7/2

That is, ...

  m = (7/2)r²

__

Using this relation, we can find m for r=12:

  m = (7/2)·12² = 7·72

  m = 504 . . . for r = 12

__

And, we can use the same equation to solve for r when m=224.

  224 = 7/2·r²

  r² = 64

  r = √64

  r = 8 . . . for m = 224

Answer:

Step-by-step explanation:

A

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.

Both bouquets have the same type of flower (daisies) and Leticia has the same number of daisies in each bouquet (13).

Therefore,

The probability of randomly selecting a daisy from Bouquet S is the same as the probability of randomly selecting a daisy from Bouquet T.

Which is 1/13.

(since there are 13 daisies in each bouquet and we assume that each daisy is equally likely to be selected).

Thus,

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T

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Answer:

Add their absolute values and keep the sign of the integers

Step-by-step explanation:

The problem can be understood with the help of an example.

Let the first number be 2 and other number be 3. If we want to add these numbers, it will be like :

Sum = 2 + 3 = 5

We can see that when we add these two numbers, we find that we add their absolute values while the sign of the integers are same.

So, if we want to find the sum of integers with the same sign, we have to add their absolute values and keep the sign of the integers.

Hence, the correct option is (a).

Answer:

B

Step-by-step explanation:

none of the domain is repeting

Answer:

If Mary earns 7$ an hour, we need to multiplicate 7$ by the number of hours worked for the entire week so we can get the salary per week.

Step-by-step explanation:

it's correct

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 7) into the partial equation

- 7 = 3 + c ⇒ c = - 7 - 3 = - 10

y = 3x - 10 ← equation of line

Answer:

The line equation in slope-intercept form is:

[tex]y\:=-\frac{2}{5}x+4[/tex]

Hence, option D is true.

Step-by-step explanation:

Given the points

Finding the slope between the points

[tex]\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)[/tex]

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

[tex]m=\frac{2-4}{5-0}[/tex]

[tex]m=-\frac{2}{5}[/tex]

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

[tex]y = mx+b[/tex]

[tex]y\:=-\frac{2}{5}x+4[/tex]

Therefore, the line equation in slope-intercept form is:

[tex]y\:=-\frac{2}{5}x+4[/tex]

Hence, option D is true.

Answer:

1) 5/7

2) (21, 5)

Step-by-step explanation:

1) The slope of the line passing through the points (7, 5) and (21, 15) is

[tex]\frac{15-5}{21-7} =\frac{10}{14}=\frac{5}{7}[/tex]

because slope is (difference of y)/(difference of x)

the first option is correct

2) 1/3 of 5/7 is 5/21.

The line will be in the form of

y = 5/21 x + b where b is the y-intercept.

Find the complete equation by plugging in (0,0) since it passes thorugh the origin.

0 = 5/21 (0) +b

0=0+b

b=0

The equation: y=5/21 x

let's check each option by plugging in.

y= 5/21 (3)= 5/7

y is not 5 but 5/7

y= 5/21 (3)= 5/7

y is not 7 but 5/7

y= 5/21 (21) = 5

y is 5, which matches with the answer choice!!!

y= 5/21 (21) = 5

y is 5, not 7.

The third option is correct

Answer:the error is when 6y=12

Step-by-step explanation:

the original problem says 4x-6y=12

so when you get rid of the 4x, it should still be -6y not positive

The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given the equation is 4x-6y=12.

4x-6y=12

4 x 0 -66y = 12

-6y = 12

y =-2

4x-6y=12

4x - 6 x 0 = 12

4x = 12

x = 3

Therefore, the error is when 6y = 12 it will be -6y = 12, and the intercept would be -2.

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Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

The slope of a perpendicular line is opposite and reciprocal to the original slope. Flip the fraction and change the sign, and you're all set!

Answer:

a.1,8

2,7

0,9

3,6

4,5

5,4

Answer:

6 < k > 13

Step-by-step explanation:

Answer:  B-20/50

Step-by-step explanation:

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                           50X2=100               and 40/100

Answer:

12544cm2

Step-by-step explanation:

if the the circles touch each other, the length is to be gotten by

a) getting the diameter.

- as the radius is 28cm, the diameter of each circle is  56cm.

- 2 circles are connected enabling us to form a horizontal line with the length of 112cm.

b) inside the triangle

- looking keenly you can see three dots at the center of each circle forming a triangle. as we know each circle is connected to 2 others. so the distance from one radius to the other forms a diameter.

-connect the dots, radii from 1 circle to the other, and assign them their measurements,. remember that they lines act as diameters

c) properties of a triangle

-forming that, you will notice that all sides are equal making it an equilateral triangle and equilateral triangles are only able to fit inside parallelograms whose sides are ALL EQUAL.

- got the trick! now we know that all the sides are equal and one side is of the rectangle is 112cm, automatically all sides become 112cm.

d) area

-area will be

S x S

112 x 112

=12544cm2

Answer:

-8

Step-by-step explanation:

you need to rewrite it in y=mx+b form where b-is the y-intercept

y-4= -3(x+4)

distribute

y-4 = -3x-12

isolate y

y= -3x-8

compare this with the y=mx+b so y-intercept is -8

Answer:

(0,-8)

Step-by-step explanation:

Answer:

40m???

Step-by-step explanation:

Answer:

45000

Step-by-step explanation:

Jk it's wrong lol

Answer:21

Step-by-step explanation:just cuz trust me broski its right

Answer:

A. -400

Step-by-step explanation:

Answer:

-400

Step-by-step explanation:

took the test

Rewrite the formula for the base b₂ will be given as b₂ = 2A / h + b₁.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b₁ and b₂ are the bases of the trapezoid, and H is the height of the trapezoid.

Then the area of the trapezoid will be

A = [(b₁ + b₂) / 2] · h

Rewrite the formula to find the base b₂ will be given as,

       A = [(b₁ + b₂) / 2] · h

2A / h = b₁ + b₂

      b₂ = 2A / h + b₁

More about the trapezium link is given below.

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Answer:

we have an increase of 32.5 million every 4 years.

Then the increase per year is:

32.5 mill/4y = 8.125 million per year.

then if we define the variable x, as the number of years, we can write the linear equation as:

y = x*8.125 million/year + b

where b is the initial amount, that is not shown in the question, so i will just leave it like that.

You can see that when we have x = 4 years we have:

y(4 years) = (4 years)*(8.125 million/year) + b = 32.5 million + b.

Then after 4 years, we have an increase of 32.5 million, that is the thing we knew at the beginning.

Answer:

What do u want? Do u want the solution?

Step-by-step explanation:

I cant help without the question... :(

Answer:

Not possible

Step-by-step explanation:

You use the formula y = mx + b to make equations for both situations then solve from there

Let x be miles driven

Company A:

y = 50.30x + 130

Company B:

y = 50.70x + 570

You solve by making the equations equal each other to figure out the variable (miles driven)

50.70x + 570 = 50.30x + 130

50.70x + 570 - 50.30x + 130 - 50.30x

0.4x + 570 - 570 = 130 - 570

0.4x = -440

x = -1100

Therefore there is no amount of miles you can drive for Company A and Company B to have the same rental costs

:))))))))))))))))))))))))))))

Answer: Ok, since there is only a point and you want it in standard form, which I am guessing you mean linear equation in standard form, the answer will be 3y-4x=c. If you need it in point-slope form, then it's y-3=x+4. There is no slope given, so yeah...

Step-by-step explanation: