one sixth multiplied by 42​

Answer:

2099

Step-by-step explanation:

The formula for Exponential Decrease is given as:

P(t) = Po × e ^-rt

Where

r = Decrease rate = 3.5% = 0.035

t = time in years = 5 years

Po = Initial population = 2500

P(t) = Current Population after t years

Hence:

P(t) = 2500 × e^ -(5 × 0.035)

P(t) = 2500 × e^-0.175

P(t) = 2098.6425519

Approximately = 2099

The population of the town after 5 years = 2099

Answer:

its 12

Step-by-step explanation:

12 oz

Answer:

22.5/3

Step-by-step explanation:

Hey, the idea is to set up an equation that you can solve

36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left

Now just solve for how much tea is in each cup.

36-13.5 = 3(X)

3X = 22.5

x = 22.5/3

Answer:

-19,-23,-27

Step-by-step explanation:

When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.

Answer: -19, -23, -27

Step-by-step explanation:

<33

Answer:

It leaks half a gallon each hour.

Step-by-step explanation:

Answer:

Call the plumber

Step-by-step explanation:

If the school people refuse, make a petition. Ask around if they want a new pipe or fix it and collect their signatures. If the school still refuses, you can report them to the cops. If this was a question, it leaks 1/2 gallon per hour.

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

Answer:

12, 15, 18

Step-by-step explanation:

4x+5x+6x=45

15x=45

x=3

4x=12, 5x=15, 6x= 18

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

Answer:

A=AR is the answer

Step-by-step explanation:

Answer:

- 1 -4 for the botome one

Step-by-step explanation: sorry thats all i got

Answer:

negative 1 -4

Step-by-step explanation:

Answer:

1-yes rhombus

2-no rhombus

3-yes rhombus

Answer:

I think that's right cus I did this test

Answer:

The answer to your question is 16.3.

Answer:

-5

Step-by-step explanation:

Distribute 4(x+6) = 4x+6

Since the angle are congruent to eachother set them equal to oneanother

4x+6 = 5x+11

Subtract 4x on both sides.

6 = x+11

Subtract 11 on both sides.

-5 = x

Answer:

The scale factor of a dilation is 3.

Step-by-step explanation:

Given the length ST of the rectangle RSTU

The length ST of the rectangle = 8 units

It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8

i.e.

S'T' = 3(ST)

S'T' = 3(8)      ∵ ST = 8

S'T' = 24

It indicates that the RSTU has been dilated by a scale factor of 3.

As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.

Therefore, the scale factor of a dilation is 3.

Answer:

The sequence is add 3/20

Step-by-step explanation:

Answer:  $50

Step-by-step explanation:

30 × 10 = 40 ft²  [garden area]

40 ÷ 25 = 1.6

1.6 ≈ 2

For the area of the entire garden, you need to buy two bottles of fertilizer.

25 × 2 = 50        [fertilization cost for the whole garden]

Answer:

-6

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

y=mx+c

m=rise over run

m=0

x=-7

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

Answer:

1500%

Step-by-step explanation:

The formula for Percentage increase is

Increase/ Initial Amount × 100

Increase = Current Amount - Initial Amount

Increase = $320,000 - $20,000

Increase = $300,000

Percentage Increase =

$300,000/$20,000 × 100

= 1500%

The percent increase in home value in those 50 years is 1500%

Answer:

0.4t

Step-by-step explanation:

1.4t-t=0.4t

Hope this helps :)

Answer:

0.4t

Step-by-step explanation:

0.8t + 0.6t = 1.4t

1.4t-1t=0.4t

Answer:

4.8

Step-by-step explanation:

took test

The model of the city would be 4.8 meters in its greatest dimension.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A city stretches for 480,000 meters in its greatest dimension.

And, The model will be 100,000 times smaller than the actual city.

Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.

Therefore, the size of the model in its greatest dimension would be;

⇒ 480,000 meters ÷ 100,000

⇒ 4.8 meters

Thus, the model of the city would be 4.8 meters in its greatest dimension.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

3 pizzas

Step-by-step explanation:

12 x 2 = 24

24 divided by 8 = 3

Answer:

i have no clue ngl but online theres websites that will solve them for you

Step-by-step explanation:

if you want a link lmk lol

Answer:

Answer is .............3.

Answer:

It's 3

So whenever u see a power outside the bracket u times it with the inner brackets

In the final answer a is with the power of 8 because 2 times 4 is 8

U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

Standard form of a parabola:

Let's find the vertex of this parabola.

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

Simplify using PEMDAS.

Subtract 4 from both sides.

Now we have (h, k) and a of the vertex form.

In order to convert from vertex to standard form, simplify the equation by FOILing.

Distribute 3 inside the parentheses.

Combine like terms.

Therefore, we have the answer:

Vertex form:

Standard form:

Answer:

Option (4)

Step-by-step explanation:

x              g(x)            Ist difference          IInd difference        Ratio

1              13                      -                                   -                        -

2              3                3 - 13 = -10                         -                       [tex]\frac{3}{13}[/tex]  

3             -3               -3 - 3 = -6                   -6 - (-10) = 4            [tex]\frac{-3}{3}=-1[/tex]

4             -5               -5 - (-3) = -2                -2 - (-6) = 4             [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]

5             -3               -3 - (-5) = 2                   2 - (-2) = 4            [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]

This table depicts,

1). Ist difference is not common

2). IInd difference is common

3). Ratio is not common

Therefore, this table represents a quadratic function because the second difference are all the same value.

Option (4) will be the answer.