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Answer:

Step-by-step explanation:

Remark

You want the 60th term of the arithmetic (?) sequence given.

Formula

L = a + (n - 1)*d

Givens

L = ?

a =  8

d = 8

n = 60

Solution

L = 8 + (60 - 1)*8

L = 8 + 60*8 - 8

L = 480

Answer

The 60th term is 480

Answer:

Step by step explanation :

As we know

[tex]\:\bf\boxed{an\:=\:a\:+\:(n\:-\:1)\:d}[/tex]

where,

an = the nth term in the sequence

n = the term

d = common difference

a = first term of the AP.

Here,

an = a60

n = 60

d = 16 - 8 = 8

a = 8

Now,

[tex]\:\mathsf{a60\:=\:8\:+\:(60\:-\:1)(8)}[/tex]

=> [tex]\:\mathsf{a60\:=\:8\:+\:(59)(8)}[/tex]

=> [tex]\:\mathsf{a60\:=\:8\:+\:472}[/tex]

=> [tex]\:\bf{a60\:=\:480}[/tex]

Therefore the 60th term of the AP is 480.

Answer:

T' = (-8, 8)

U' = (2, 8)

V' = (-8, 7)

Step-by-step explanation:

reflection over x axis means we change the sign of the y coordinate and nothing else

T = (-8, -8)

y coordinate = -8, change the sign to get 8

T' is thus (-8, 8)

U = (2, -8)

y coordinate = -8, y' = 8

U' = (2, 8)

V = (-8, -7)

y' = 7

V' = (-8, 7)

Answer:

b

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

the graph has a minimum value of - 6  ( U ) not a maximum

Answer:

2nd option

Step-by-step explanation:

Answer:

the table of the function is below

Step-by-step explanation:

Answer:

350 adult tickets were sold.

Step-by-step explanation:

Let's set up some values:

x = adult tickets

x + 50 = student tickets, since there were 50 more student tickets than adult tickets.

Now, let's set up our equation. If these two values add up to 750 tickets, then we can conclude the following:

(x) + (x + 50) = 750

2x + 50 = 750

2x = 700

x = 350 adult tickets. This means there were 400 student tickets sold.

Option B

Verification:-

Find g(2)

Verified

Answer:

34 %

Step-by-step explanation:

One standard deviation below  ( 2 months) to the mean

           covers approx 34.1 %

Answer:

The answer is simply 26,25/3 which gives that each book costed 8,75 dollars assuming of course that all books have the same price.

Answer:

5x - 2

Step-by-step explanation:

if x is your number its 5 lots of your number - 2

Answer:

Ray

Step-by-step explanation:

Ray is correct . Have a nice day :)

Answer:

2250

Step-by-step explanation:

In this problem, you do 9000/4 because he earns $4 commissions, and that will give you 2250.

Answer:

x=29°

Step-by-step explanation:

angle measure of circular arc=180-122=58°

x=1/2×58=29°

Answer:

4√13 inches.

How To Solve

a2 + b2 = c2

82 + 122 = c2

64 + 144 = c2

208 = c2

√208 = √c2

√16√13 = c

4√13 inches = c

Using the slope of each of the lines, the best statement that describes the their relationship is that they are: neither perpendicular nor parallel.

The slope of parallel lines are the same, while that of perpendicular lines are negative reciprocals.

Given the two lines with the following equations:

-9x+9y=1

7x+2y=4

Rewrite both in slope-intercept form as y = mx + b to determine the slope of each line:

-9x + 9y = 1

9y = 9x + 1

y = 9x/9 + 1/9

y = x + 1/9 (slope = 1)

7x + 2y = 4

2y = -7x + 4

y = -7x/2 + 4/2

y = -7/2x + 2 (slope = -7/2).

The slope of both lines are different, so they are not parallel. So also, their slopes are not negative reciprocals.

Therefore, they are neither perpendicular nor parallel.

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Answer:

43

Step-by-step explanation:

80-37 = 43

There would be a gap in the age of people in an elementary school.

There is a gap in a histogram when there is no data point represented in the data point.

There would be no gap in the ages of students in the sixth grade because their ages would have a range. There would be a gap in the age of people in an elementary school because there would be the ages of the students then the ages of teachers.

The ages of people eating in a family restaurant would have no gap because all ages would be represented. There is no age limit on those that can run a marathon, thus, the age of runners would have no gap.

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Answer:D. The atmosphere of Mars is twice as thick as scientists predicted it would be.

Step-by-step explanation:

The volume of the rectangular prism is 180 ft³, From the net of the prism, A = 10 feet, B = 4 feet, C = 6 feet and D = 3 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

The volume of the rectangular prism = length * width * height = 10 * 6 * 3 = 180 ft³

From the net of the prism, A = 10 feet, B = 4 feet, C = 6 feet and D = 3 feet.

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Answer: 706.5

Step-by-step explanation:

no promisees that  its right

Answer:

y = 12

Step-by-step explanation:

To solve this equation... The function is basically:

y = 3x - 15

So by substituting in x=9:

y = 27 - 15 = 12.

y = 12

Hope this helps.

Answer:

y = 12

Step-by-step explanation:

f(x) = y, so to find y, we jut need to substitute 9 for all the x-values in the equation:

f(9) = 3(9) - 15

Simplify:

f(9) = 27 - 15

f(9) = 12

Since f(x) = y

y = 12 when x is 9

Hope this helped!

Answer:

(E) < BDE = 2x + y.

Step-by-step explanation:

As  triangle ABC is isosceles the 2 base angles are equal.

Therefore m < BAC = x.

Consider triangle ABD:

m < BDE = m < BAC + m < ABD ( external angle of a triangle theorem)

So < BDE =  x + x + y = 2x + y.

Answer:

Step-by-step explanation:

The deck is divided into 4 different kinds of cards

Each kind of card has a 2

So there are 4 twos in a standard deck of cards.

Answer:

The range is 18

The Range (Statistics) The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!

Therefore, The range is 18

Answer:

x ≤ 3

Step-by-step explanation:

[tex]\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}[/tex]

Subtract 1/2 from both sides:

[tex]\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}[/tex]

[tex]\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}[/tex]

Multiply both sides by 4:

[tex]\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4[/tex]

[tex]\implies -x \geq -3[/tex]

Divide both sides by -1 (remembering to flip the sign):

[tex]\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}[/tex]

[tex]\implies x \leq 3[/tex]

A. Line

D. Segment

E. Ray

Math dimensions include length, width, and height (in that order). The dimension that an object occupies is dependent on how many different measurements, aka dimensions, an object has.

0th Dimension

The first dimension is actually the zeroth dimension. This dimension includes objects that do not have any measurements. A point does not have a length because it only occupies one spot on a plane.

The 0th dimension includes:

1st Dimension

The next dimension, the 1st dimension, has only length. This means the object can travel across the x-axis, but it can only go in one direction.

The 1st dimension includes:

2nd Dimension

For this question, the last dimension is the 2nd dimension. The 2nd dimension has both length and width. This means that the object occupies both the x and y-axis.

The 2nd dimension includes:

3rd Dimension

The 3rd dimension is not included in the question or the answer choices but is still important. The 3rd dimension has length, width, and height. This occupies the x, y, and z-axis and cannot be graphed on a regular geometric plane. The 3rd dimension is graphed in a geometric space.

The 3rd dimension includes:

The approximate change that Thomas will see on his future monthly statements as a result of the change is; $33.1975

We are told that Thomas' insurance company has increased his annual premium by $398.37.

Now, the premium above is the change in his annual premium. Thus, to find the change in his monthly premium, we just divide by 12 months to get;

Change in Monthly statements = $398.37/12

Change in Monthly statements = $33.1975

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