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2 years ago

1.5, 2.25, 3.0, 3.75, ...

1 answer:

6 0

The recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n + 1) = f(n) + 0.75

<h3>Recursive functions</h3>

The general recursive function is expressed as:

an+1 = d + an

where

r is the common difference

Given the sequence below

1.5, 2.25, 3.0, 3.75, ...

Common difference = 2.25 - 1.5 = 0.75

Substitute

f(n + 1) = f(n) + d

f(n + 1) = f(n) + 0.75

Hence the recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n + 1) = f(n) + 0.75

Learn more on recursive formula here: brainly.com/question/1275192

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a new rectangular park is planned.it will be 3/4 kilometer long and have an area of 3/8 square kilometers. how many kilometers w

kakasveta [241]

<em>The word usage in last sentence of the question is not well presented. However, I can understand that you intend to solve for the width of the park</em>

Answer:

$Width = 2\ km$

Step-by-step explanation:

Given

$Length = \frac{3}{8}km$

$Area = \frac{3}{4}km^2$

Required

Determine the Width

For a rectangle:

$Area = Length * Width$

Substitute for Area and Length

$\frac{3}{4} = \frac{3}{8} * Width$

Multiply both sides by $\frac{8}{3}$

$\frac{8}{3} * \frac{3}{4} = \frac{3}{8} * \frac{8}{3}* Width$

$\frac{8}{3} * \frac{3}{4} = Width$

$\frac{24}{12} = Width$

$2 = Width$

$Width = 2\ km$

6 0

3 years ago

The population of cats in a rural neighborhood has declined in the last year by roughly 30%. Residents hypothesize that this is

zvonat [6]

Answer:

Orinal number of cats= 171

Step-by-step explanation:

Giving the following information:

Decrease in population= 30%

Current population= 120

<u>To calculate the original number of cats, we need to use the following formula:</u>

Orinal number of cats= current population / (1 - decrease)

Orinal number of cats= 120 / (1 - 0.3)

Orinal number of cats= 171

8 0

3 years ago

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

3 years ago

Find the values of a and b so that the solution of the linear system is (-9,1).

Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

we can write -9 instead of x and y=1 instead of 1

so we write solution again

-9a+1b=-31

-9a-1b=-41

-18a=-72

a=4

we should write 4 instead of a

-9(4)+1b=-31

-36+b=-31

b=5

a=4

6 0

3 years ago

За – 15b – 2c|<br> HELPPP!!

nekit [7.7K]

Answer:

what are solving it with??

7 0

3 years ago