A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

f(1) = 4; f(n) = 4 ⋅ d(n − 1), n > 0
f(1) = 4; f(n) = 4 ⋅ d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n − 1), n > 0

Answer:

a = 9, b = 3

Step-by-step explanation:

The exponential function is

y = a [tex]b^{x}[/tex]

Find a and b by using the points it passes through

Using (0, 9 ) then

9 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 )

a = 9

y = 9 [tex]b^{x}[/tex]

Using (3, 243 ) then

243 = 9b³ ( divide both sides by 9 )

27 = b³ ( take the cube root of both sides )

b = [tex]\sqrt[3]{27}[/tex] = 3

y = 9[tex](3)^{x}[/tex] ← exponential equation

Answer:

What is the probability that a randomly selected person is on the swim team?

28 out of 67 people are on the swim team

so that's 28/67

41.7910448% round to the nearest tenth

41.8% is the answer.

Step-by-step explanation:

Answer:

slope is 2

Step-by-step explanation:

find the change in y and x to then divide them

17-1/5- -3 = 16/8 = 2

Answer:

y = 4x + 14

Step-by-step explanation:

slope-intercept form: y = mx + b

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

To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

[tex]\frac{18-14}{1-0}[/tex]

Simplify:

18 - 14 = 4

1 - 0 = 1

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

The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

y = mx + b

18 = 4(1) + b

18 = 4 + b

14 = b

The y-intercept is 14.

Now that we know the slope and the y-intercept, we can write the equation:

y = 4x + 14

9514 1404 393

Answer:

  608 cm²

Step-by-step explanation:

The central rectangle is 10+12+10 = 32 cm high and 16 cm wide. Its area is ...

  A = LW = (32 cm)(16 cm) = 512 cm²

Each of the two triangles on the side have an area of ...

  A = 1/2bh = (1/2)(12 cm)(8 cm) = 48 cm²

There are two triangles and one rectangle, so the total surface area is ...

  total area = rectangle area + 2 · triangle area

  total area = 512 cm² +2(48 cm²) = 608 cm²

Answer:

read the answer through and collect all the information you can

1.33333

Step-by-step explanation:

Don't worry it checks out.

Answer:

1.33333333333

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just ended the test

Answer: (-3, 5) : Quadrant 2

Answer:

2

Step-by-step explanation:

i took the test

Answer:

The two digit number is 35.

Step-by-step explanation:

Let xy be the two digit number

According to given statement

[tex]x+y = 8\ \ \ \ Eqn\ 1[/tex]

The place value of xy is 10x+y

Reversing the number will be: 10y+x

It is also mentioned that the new number is previous number increase by 18

So,

[tex]10y+x = 10x+y+18\\10y-y+x-10x = 18\\9y-9x = 18\\9(y-x) = 18\\\frac{9(y-x)}{9} = \frac{18}{9}\\y-x = 2\ \ \ Eqn\ 2[/tex]

From equation 2

[tex]y = 2+x[/tex]

Putting in equation 1

[tex]x+y = 8\\x+2+x = 8\\2x+2 = 8\\2x = 8-2\\2x = 6\\\frac{2x}{2} = \frac{6}{2}\\x = 3[/tex]

Putting x = 3 in equation 1

[tex]3+y = 8\\y = 8-3 = 5[/tex]

xy = 35

Hence,

The two digit number is 35.

Answer:

they are both the same

Step-by-step explanation:

farmers give us food and doctors make us healthier

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 3 ] , then

f(b) = f(3) = 3² - 3 - 8 = 9 - 3 - 8 = - 2

f(a) = f(- 4) = (- 4)² - (- 4) - 8 = 16 + 4 - 8 = 12 , tus

average rate of change = [tex]\frac{-2-12}{3-(-4)}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2

Answer:

1, no more than 50

2. 50 miles per hour

3.Raphael has no more than 5 minutes and 30 seconds to complete each remaining question.

4. less than 4250

Step-by-step explanation:

Answer:

156 for the first, 14 for the second

Step-by-step explanation:

x = -5 y=4

Plug in (first equation)

(4(4))^2 - (2(-5))^2

(16)^2 - (-10)^2

256-100

156

Second Equation

4y^2-2x^2

Plug in

4(4)^2 - 2(-5)^2

4(16) - 2(25)

64-50

14

Parenthesis make a huge difference

Hope this helps =D

Answer:

F(x)=1

Step-by-step explanation:

Just add in 2 were x is. f(x)=-3(2)+7 then multiply -3(2) which is -6 then add 7

Answer:

Hope this helps!!

Step-by-step explanation:

So the four consecutive odd integers are: 51 , 53 , 55 and 57 .

If the first integer is n, then the other three are n+2,n+4 and n+6

and we have:

216=n+(n+2)+(n+4)+(n+6)=4n+12

Subtract 12 from both ends and transpose to get:

4n=204

Divide both sides by 4

to get:

n=51

So the four consecutive odd integers are:

51,53, 55 and 57.

Answer:

12N

Step-by-step explanation:

force=workdone/distance

=84/7

=12N

hope it helps

Answer:

12n

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

The segment from the vertex of the triangle is an angle bisector and divides the opposite side into 2 segments that are proportional to the other 2 sides, that is

[tex]\frac{20}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )

8x = 280 ( divide both sides by 8 )

x = 35

Answer: 12

Step-by-step explanation:

Answer:

On the first one the answer is 420 so you would have to go up and write 360 then 420 and down on 360 youll put 6 minutes and on 420 youll put 7 minutes and then you will write that the answer is 420

Hope this helps

Answer:

238

Step-by-step explanation:

all you do is part and whole divide

Answer:

D: It has exactly 3 congruent sides

Step-by-step explanation:

finished quiz on edg2020

Answer:

the answer is D  just took the test

Step-by-step explanation:

just took the test

Answer:

7 days

Step-by-step explanation:

I'm on crack but I never did it bruh

Answer:

The inequality -3x + 2y ≥ 7 matches the graph ⇒ D

Step-by-step explanation:

The slope of the line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]

From the given graph

∵ The direction of the line is increased from left to right

∴ The slope of the line is positive

∵ The line is solid and the shaded area is over the line

∴ The sign of inequality should be ≥

→ We have only one answer that has a sign of inequality ≥, let us check

  its slope

∵ -3x + 2y ≥ 7

∴ a = -3 and b = 2

∵ m = [tex]\frac{-a}{b}[/tex]

∴ m = [tex]\frac{-(-3)}{2}[/tex] = [tex]\frac{3}{2}[/tex]

∴ The slope of the line is positive

∴ The inequality -3x + 2y ≥ 7 matches the graph

Not at all, I was doing online school before quarantine started, so this is all normal for me lol

Answer:

...

Step-by-step explanation:

Answer:

1 cup of sugar for every 2 cups of flour 1:2

Step-by-step explanation:

The ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A bakery mixes cookie dough in large batches.

For chocolate chip cookies, 10 cups (2,365.88 ml) of sugar and 20 cups (4,731.76 ml) of flour are needed.

Then the ratio of sugar to flour for chocolate chip cookies to maintain the same taste, will be

Let S be the amount of sugar and F be the amount of the flour.

Then the ratio of sugar to flour will be

S / F = 10 / 20

S / F = 1 / 2

Thus, the ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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