what are the first 4 terms in the sequence defined by the explicit rule f(n)=n²+2?

a 1 2 3 4
b 3 6 11 18
c 4 6 8 10
d 9 16 25 36​

Answer:

There are 15 friends

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) in the same proportion, the rule of three applies as follows:

a ⇒ b

c ⇒ x

Then: [tex]x=\frac{c*b}{a}[/tex]

where a, b and c are known values ​​and x is the value to be calculated.

In this case, the rule of three applies as follows: if 1/20 of a ton is the weight of 1 person, 3/4 of a ton is the weight of how many people?

[tex]number of people =\frac{\frac{3}{4} of a ton*1 person }{\frac{1}{20} of a ton}[/tex]

or, what is the same,

number of people* [tex]\frac{1}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Solving:

number of people= 15

There are 15 friends

Answer:

Step-by-step explanation:

w≤500-285

4x^2-5x+15 is the answer.

Step-by-step explanation:

= 3(x-7) + 4(x² - 2x + 9)

= 3x - 21 + 4x² - 8x + 36

= 4x² + 3x - 8x + 36 - 21

= 4x² - 5x + 15

Answer:

The driver has made it far enough to reach the office

Step-by-step explanation:

1,1

Answer and Explanation:

Number of classes = 8

    Highest value =2300

  Lowest value = 1250

Class width= highest value – lowest value / number of classes

               = 2300 – 1250/8

                = 131.25 = 132

So, we can write class as 1250+132=1382

Class                                        frequency

1250-1382                                 2

1382-1514                                 3

1514-1646                                 6

1646-1778                                 2

1778-1910                                 3

1910-2042                                 2

2042-2174                                 1

2174-2306                                 1

Answer:

10

Step-by-step explanation:

-15+10=-5

Answer:

4×1000000 6×100000 7×10000 2×1000

Step-by-step explanation:

Answer:

[tex]4.672 * 10^{6}[/tex]

Step-by-step explanation:

move the orginial number 6 decimal points to the left to determine its scientific notation

4672000

467200.0

46720.00

4672.000

467.2000

46.72000

4.672000

Answer:

26.67% Of Americans earn college degrees.

Step-by-step explanation:

[tex]\frac{2}{3} *40 = 26.67[/tex]

Answer:

-2

Step-by-step explanation:

Here is a number line:

<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4     5      6

Start at 3, marked with an S below:

<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----S----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4      5     6

Since you are adding a negative number, -5, count 5 numbers to the left starting on P which corresponds to 3.

                                        5<---4<---3<----2<---1<---Start

<-------+-----+-----+-----+-----E-----+-----+-----+-----+-----S----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4      5     6

You end up at E which corresponds to -2.

Therefore, -5 added to 3 is -2.

I don't know how your teacher can say that 3 + (-5) is not -2 since -2 is the correct answer. Perhaps you should check on the question to make sure it really is 3 + (-5) and not something else.

Answer:

I would say c im not 100% sure sorry if i got it wrong

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(2x−4)=4x

(−2)(2x)+(−2)(−4)=4x(Distribute)

−4x+8=4x

Step 2: Subtract 4x from both sides.

−4x+8−4x=4x−4x

−8x+8=0

Step 3: Subtract 8 from both sides.

−8x+8−8=0−8

−8x=−8

Step 4: Divide both sides by -8.

Answer:

A. Brian will need 1.75 (1 3/4) cups of flour

B. Brian will need 1 1/16 cups of sugar

Step-by-step explanation:

Brian wants to make it for 3 people, so everything must be divided by 4 since 12/4=3.

7/4=1.75

4 1/4 divided by 4=1 1/16

Answer:A is 21 cups of flour and B is 12 3/4 cups of sugar

Step-by-step explanation:

A is 21 because 7x3 is 21 and B because 4 1/4x3 equals 12 and 3/4 cups

Answer: - 13/7

Mark me Brainliest

Answer:

3<x+12

Step-by-step explanation:

Answer:

THE ANSWER SHOULD BE 14

Step-by-step explanation:

JHJHUUYUU

Answer:

[tex] m\angle L = 111\degree \\

m\angle M = 69\degree [/tex]

Step-by-step explanation:

Since, angle L and angle M are supplementary.

[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]

Answer:

9.5

Step-by-step explanation:

The correct answer is 9.5 because 9.49 is closer to 9.5 than 9.4

Answer:

9.5

Step-by-step explanation:

9.492 to the nearest tenth

First you would round 0.092, which would just be 0.09 because 2 is less than 5. You would then have 9.49. You would then round the 0.49, and since 9 is greater than 5, it would be 9.5 because 9 would round to 10.

Answer:

5?

Step-by-step explanation:

You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5

Answer:

$128

Step-by-step explanation:

your looking for 16/8, divide 16 by 3, leaving you with 5.333...

now times that by $24, and you have your answer hope this helps

The price of 2 tons of gravel is $128.

Given:

The price of gravel is $24 for every [tex]\dfrac{3}{8}[/tex] ton.  

To find:

The price of 2 tons of gravel.

Explanation:

Let [tex]x[/tex] be the price of 1 ton of gravel.

Then the price of [tex]\dfrac{3}{8}[/tex] ton is [tex]\dfrac{3}{8}x[/tex] and the price of 2 tons of gravel is [tex]2x[/tex].

It is given that the price of gravel is $24 for every [tex]\dfrac{3}{8}[/tex] ton.  

[tex]\dfrac{3}{8}x=24[/tex]

[tex]x=\dfrac{8}{3}\times 24[/tex]

[tex]x=8\times 8[/tex]

[tex]x=64[/tex]

Now, the price of 2 tons of gravel is:

[tex]2x=2(64)[/tex]

[tex]2x=128[/tex]

Therefore, the price of 2 tons of gravel is $128.

Learn more:

https://brainly.com/question/17592695

Answer:

mode = maximum repeated item

here mode = 4.2

Answer:

3 times

Step-by-step explanation:

if we look at 193 times 1 its 193, times 2, its 386, times 3, 579 with a remainder of 131

Answer:

-23x-40

Step-by-step explanation:

Answer:

[tex]x=-1/2=-0.5[/tex]

Step-by-step explanation:

So we have the function:

[tex]h(x)=4x+2[/tex]

To find the zero(s) of a function, set the function equal to 0 and solve for x. So:

[tex]0=4x+2[/tex]

Subtract 2 from both sides:

[tex]-2=4x[/tex]

Divide both sides by 4:

[tex]x=-1/2=-0.5[/tex]

So, the zero of the function is -0.5.

This means that the graph (a line) crosses the x-axis at (-0.5, 0).

Answer:

x=14

Step-by-step explanation:

Answer: x=14

Step-by-step explanation:

Answer:

I do believe that the answer would be 56%

Step-by-step explanation:

Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%

Answer:

They are 260 miles apart. No it would not be possible.

Step-by-step explanation:

If they are 260 miles apart and you drive at a constant speed on 70mph. You will have to 260/70 which = 3.7 or 4 so it would not be possible.

Amarillo and Oklahoma City are [tex]260[/tex] miles apart.

It is not possible to make this trip in [tex]3[/tex] hours.

By using any geographical tool, such as the local map or you can use internet too to find the distance between Amarillo and Oklahoma City.

Amarillo and Oklahoma City are [tex]260[/tex] miles apart.

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Time = \frac{Distance}{Speed}[/tex]

[tex]Time = \frac{260}{70}[/tex]

Time [tex]= 3.714[/tex] hours

So, it is not possible to make this trip in [tex]3[/tex] hours.

Learn more about speed here:

https://brainly.com/question/14988345?referrer=searchResults

Answer: it’s 60 and 36

Step-by-step explanation: