The function g is defined by g(x)= 3x2 - 3.
Find g(3z).

Answer:

D

Step-by-step explanation:

The sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12, d = 4 and n = 30 , then

[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]

     = 15(24 + 116)

     = 15 × 140

     = 2100 → D

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.

The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows

Sn = n/2 [2a₁ + (n-1)d].

as given in the problem

a₁ =12, d = 4, and n = 30

Sn = 30/2 [2×12 + (30-1)×4]

    = 2100

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.

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Answer:

False

Step-by-step explanation:

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi]. sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

The average value of a function f on [a, b] always lies between f(a) and f(b) is false.

A relation is a function if it has only One y-value for each x-value.

The average value of a function over an interval [a,b] is the total area over the length of the interval

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi].

sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

So the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

Hence,  the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

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Answer:111

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The graph that represents the inequality [tex]y+ 2 > -3x - 3[/tex] is graph d

The inequality is given as:

[tex]y+ 2 > -3x - 3[/tex]

Subtract 2 from both sides of the inequality

[tex]y+ 2 -2 > -3x - 3 -2[/tex]

[tex]y > -3x - 5[/tex]

See attachment for the graph of [tex]y > -3x - 5[/tex]

The graph that matches the attached graph is graph (d)

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Answer:

I think 60

Step-by-step explanation:

I divided 45 by 6, and then multiplied that answer by 8. I hope this helps :) (Tell me if I am wrong)

The Answer Should Be 5 Minutes!

I Hope This Helps You!!!

Answer:

1 1/4 of a liter

Step-by-step explanation:

Answer:

The last one, I think

Step-by-step explanation:

Answer: 4 5/16

Step-by-step explanation: becuase i got 100 on quiz

180 students in the enviormental club

There are 60 students in the Environmental club.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

There are 240 students in the seventh grade,

and 25% are in the Environmental Club.

That means,

students are in the Environmental Club,

= 240 x 25/100

= 60

Therefore, 60 students are in Environmental club.

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Answer:

Jerry has 9 action figures.

Step-by-step explanation:

Since Tom has three times as many action figures as Jerry, Tom has 3x action figures, where x is the number of action figures that Jerry has.

Since Tom has 27 action figures, we can say that 3x=27.

3x=27

x=9

Answer:

3/4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

.06 =6%

The expression p(1.06)^t represents D. the yearly growth rate of the population is 6%

The country's yearly average rate of change in population size over a certain time period. It expresses the proportion, growth in population size, and the total population for that year.

Given, The population of a city can be modeled by the expression

[tex]p(1.06)^t[/tex] where t represents the number of years.

This describes the yearly growth rate of the population is 6%.

If in the previous year the population was 100 this year it'll be 106 and next year it'll be 106% of 106 which is 112.36.

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Answer:

The expression to model the situation is  

✔ d - 20

The value of the expression when d = $35 is  

✔ $15

.

Step-by-step explanation:

i just took the test

Answer:

Step-by-step explanation:

Answer:

C: peasants were dependent on the lord and his land.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i did it already.

Answer:

Is A or B. Success the work matematic.

Answer:

Step-by-step explanation:

28x2 then dived it by 8 and then   thts ur answer

Answer:  1144

Step-by-step explanation:

Given: Machine A makes 7 parts every 10 minutes.

i.e. it makes [tex]\dfrac{7}{10}[/tex] parts in 1 minute.

Machine B makes 16 parts every 15 minutes.

i.e. it makes [tex]\dfrac{16}{15}[/tex] parts in 1 minute.

On Monday,

machine A makes parts for 12 hours(720 minutes).    [1 hour = 60  minutes, 12 hours = 12 x 6 = 720 minutes]

i.e. Total parts made = [tex]\dfrac{7}{10}\times720[/tex]

i.e. Total parts made = 504

machine B makes parts for 10 hours(=60x 10=600 minutes)

i.e. Total parts made = [tex]\dfrac{16}{15}\times600[/tex]

i.e. Total parts made = 640

Total parts made by both machines = 504+640 =1144

Hence, the total number of parts made by the two machines on Monday=1144.

Answer:

4

Step-by-step explanation:

We are asked to find a slope whilst given a graph.

To solve for slope, we must pick two coordinate points that are not decimals and following the formula of rise over run, which in basic terms y over x.

So based on what I see, I can see (1, 1) and (2, 5).

The rise over run is as followed :

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

2 and 1 meaning the first and second number within the coordinate, so substitute :

[tex]\frac{5 - 1}{2 - 1}[/tex]

[tex]\frac{4}{1}[/tex]

Divide :

[tex]4[/tex]

4 is our slope.

Answer:

Step-by-step explanation:

2x+4y=82  

x=41

y=20.5

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GYMNASTICSLOVE

PRONOUNS (SHE/THEY)

Answer:

10x + 35

Step-by-step explanation:

Answer:

respuesta el joven tiene 15 y el padre 30

Answer:

So the perimeter of the larger rectangle = 160

Step-by-step explanation:

We are given the scale factor of the two rectangles. We are given the perimeter of the smaller rectangle = 120.

Since the two rectangles are scaled, this means they have a common ratio. In other words:

[tex] \frac{perimeter \: of \: larger \: rectangle}{perimeter \: of \: smaller \: rectangle} = \frac{4}{3} [/tex]

As given in the question.

Now we know the smaller rectangle has a perimeter of 120.

Let's take the perimeter of the larger rectangles as x.

[tex] \frac{x}{120} = \frac{4}{3} \\ \\ multiplying \: both \: sides \: by \: 120 \\ x = \frac{4}{3} (120) \\ x = 160[/tex]

So the perimeter of the larger rectangle = 160

Answer:

5:15 :))

Step-by-step explanation:

you would do 1+3(=4) and then divide 20 by 4(=5)

5×1=5

5×3=15

Answer: the answer would be B

Step-by-step explanation:

I just had this question on my test and got it right :)

Answer:

C. 1

Step-by-step explanation:

There is no number before the [tex]x^2[/tex] term and the term is positive, so the coefficient is [tex]1[/tex] (which is the only number we can refrain from writing as a coefficient, hence the reasoning).

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. It can represent a number of things such as; increase or decrease in a set of numbers, a (x,y) point on a graph, or it can just be shown in a table to show rate change.

Answer:

They wont meet

Step-by-step explanation:

The one going 110 will pass before the other one can reach it.

Please mark me the brainliest, 5 stars, and a thanks! Have a great day!

It will take 2.6 hours (or 2 hours and 36 minutes) long for the two trains to meet when Two trains leave stations 520 miles apart at the same time and travel toward each other.

To find the time it will take for the two trains to meet, we can use the concept of relative speed.

The two trains are traveling towards each other, so their speeds add up. The combined speed of the two trains is:

110 mph + 90 mph = 200 mph

To determine the time it will take for the trains to meet, we can divide the total distance they need to cover (520 miles) by their combined speed (200 mph):

Time = Distance / Speed

Time = 520 miles / 200 mph

Time = 2.6 hours

Therefore, it will take 2.6 hours (or 2 hours and 36 minutes) for the two trains to meet.

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Answer:

144yd^2

Step-by-step explanation:

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