A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 20 boxes of the cereal
were sold. In the next week, 53 boxes of the cereal were sold and in the third week 86 boxes of 86 the cereal were sold. The number of
boxes of cereal sold each week represents an arithmetic sequence.
What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?

Answer:

A

Step-by-step explanation:

y = a f(x)

If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a

If 0 < |a| < 1 then f(x)  is squashed vertically

If a < 0 then f(x)  is also reflected in the x-axis

y = f(ax)

If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a

If 0 < |a| < 1 then f(x)  is stretched horizontally

If a < 0 then  f(x) is also reflected in the y-axis

g(x) has been squashed vertically by a scale factor of 1/3 (green on the attached diagram) and then reflected in the x-axis (red on the attached diagram)

Therefore, the solution is [tex]g(x) = -\dfrac13f(x)[/tex]

Step-by-step explanation:

The sides of triangle are 5,12 and 13

Here, the greatest side is 13

Therefore,

Hence, these sides will form a right angled triangle.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

To check if the triangle is congruent or not, we have to see if they form Pythagorean triplet, that is :

sum of squares of smaller sides should be equal to square of the longest side.

let's check it out ~

[tex]\qquad \sf  \dashrightarrow \: {5}^{2} + 12 {}^{2} = {13}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {25}^{} + 144 = 169[/tex]

[tex]\qquad \sf  \dashrightarrow \: 169= 169[/tex]

Therefore, the sides 5, 12 and 13 forms a right angle.

Answer:

5 miles

Step-by-step explanation:

We will use the method of cross multiplying and dividing.

You will multiply 60 x 3

Then, take the answer (180) and divide it by 36.

That will give you 5 and your answer.

Answer:

382

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We are being asked to multiply the fraction 1/2 * 4

1/2 *4

4/2

Simplify by dividing the top and bottom by 2

2/1

2

Answer:

  NO

Step-by-step explanation:

Try the offered solution to see if it works

  y = 1/2x -7 . . . . for (x, y) = (-4, -5)

  -5 = 1/2(-4) -7 = -2 -7

  -5 = -9 . . . . . . false

The point does not satisfy the function. (NO)

Answer:

I think that A 60 and B is acute it must de a bigger 90.

Step-by-step explanation:

Answer:

1.46m

Step-by-step explanation:

construction ; join EF

we know that EF is a radius, so EF = 5.3m

In triangle EFH,

∡EHF = 90° (EH is the perpendicular bisector of GF)

FH = FG/2 = 7.3m / 2 = 3.65m (EH is the perpendicular bisector of GF)

According to pythagoras theorem,

FH² + EH² = EF²

3.65² + EH² = 5.3²

EH² = 5.3² - 3.65²

EH² = 28.09 - 13.32 = 14.77m

EH = √14.77m

EH = 3.84m

EI is a radius, so EI = 5.3m

IH = EI - EH

   = 5.3m - 3.84m

   = 1.46m

When analyzing the multiple regression model, the real estate builder should be concerned with Multicollinearity.

This is a phenomenon in regression analysis where some of the independent variables are correlated. This can present an issue because the correlation leads to less reliable results.

The income in this research is influenced by the education and they both influence family size. There is therefore an issue of multicollinearity here because some variables are correlated.

Find out more on Multicollinearity at https://brainly.com/question/16021902.

Answer:

The mass of each block is 500 grams.

Step-by-step explanation:

4 kg = 4000 grams

Now we divide,
4000 / 8 = 500

Our final answer should be 500.

Answer:

x = 8cm

Step-by-step explanation:

#IhopeThisHelp

Answer: 5(b+3) is b = 3

Step-by-step explanation:

1)     5(b+3)      - distribute

2)     5b = 15    

3)     [tex]\frac{5b}{5} =\frac{15}{5}[/tex]     - divide

4)      b = 3       - solution

Answer:

it will not change

Step-by-step explanation:

the outlier is 3

the mode is the most occuring value in the list which is 16 before and after the 3 is removed

Answer:

The answer is the top right corner. (pi* 3* 12^2)

I did this in TTM

Answer:

π⋅3⋅12^2

Step-by-step explanation:

Answer:
1/7(n)-7 < 98

Step-by-step explanation:

Answer:

17/18

Step-by-step explanation:

okay this one is a bit different

you have to take the total number that are batwing-shaped (12) and the total number that are made of cotton (12) and then subtract the ones that are both batwing-shaped and made of cotton.

so 12+12-7 which is 17

then you put that over the total (18)

17/18 doesn't simplify

Answer:

25

Step-by-step explanation:

see picture for work!

" First of all, this is a hexagon which has 6 sides and 6 angles "

Answer:

Step-by-step explanation:

This is NOT a quadrilateral as the shape has 6 sides with 2 pairs of them parallel to each other.  All quadrilaterals have 4 sides instead.

Answer:

There is one solution.

Step-by-step explanation:

There is one intersection.

Answer:

36 squares per table cloth, so;

36 x 7,011 = 252,396, there are 252,396 squares.

#1

[tex]\\ \rm\Rrightarrow Mean=\dfrac{10+7.5+7.5+9+12+8}{6}=\dfrac{54}{6}=9[/tex]

#2

[tex]\\ \rm\Rrightarrow Mean=\dfrac{12+12+11.5+11.5+12.5+13}{6}=72.5/6\approx 12[/tex]

Step-by-step explanation:

(i) 240 ÷ 4000 = 0.06

(ii) 760 ÷ 4000 = 0.19

(iii) (20 + 10) ÷ 4000 = 0.0075

I guess this is the answer

i am not sure!!!!

Answer:

when the lines are coincident, and they have the same y-intercept

Step-by-step explanation:

Answer:

The answer is 1,657.5 miles

Step-by-step explanation:

First divide 510 by 20 510 ÷ 20 = 25.5 into 65 = 1657.5

Given that test of a new car results in 510 miles on 20 gallons of gas. By unitary method, you can drive miles on 65 gallons of gas.

Unitary method is a method of solving a problem wherein to find the value of k units, you first calculate the value of one item, then multiply the value of the one item to k.

Given in the question,

distance covered in 20 gallons of gas  = 510 miles

distance covered in 1 gallons of gas  = [tex]\frac{510}{20} = 25.5[/tex] miles

distance covered in 65 gallons of gas = 25.5 * 65 miles = 1657.5 miles

Learn more about unitary method here

https://brainly.com/question/28276953

#SPJ2

Answer:

most likely 43

Step-by-step explanation:

fr.