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2 years ago

8

How many gallons of a plant food that is 9% nitrogen must be combined with another plant food that is 25% nitrogen to make 10 ga

l of a plant food that is 19% nitrogen?

2 answers:

eimsori [14]2 years ago

8 0

Answer:

true

Step-by-step explanation:

pleep pleep pleep pleep and pleep

VikaD [51]2 years ago

7 0

The plant food is 10 gallons

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State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

<u>Explicit Formula</u>

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

<u>Recursive Formula</u>

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

<u>Explicit Formula:</u>

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

<u>Recursive Formula</u>

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

<u>Explicit formula</u>

$h(n)=1.1+0.4(n-1)\\$

<u>Recursive Formula</u>

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

6 0

3 years ago

How to write a real world problem involving the subtraction of two mixed numbers whose difference is less than 2 1/2

madreJ [45]

You can do 2 1/2 minus 1 1/8 to get 1 3/8. Your welcome and I hope you get a good grade

7 0

3 years ago

Suppose that the local sales tax rate is 6.25% and you purchased a used car for $16,800. What is the car’s total cost?

Tanzania [10]

Total= Car Cost + (Car Cost * Tax %)

Total= $16,800 + ($16,800 * 6.25%)
convert % to decimal form; divide % by 100

Total= $16,800 + ($16,800 * 0.0625)
multiply inside parentheses

Total= $16,800 + $1,050

Total= $17,850

ANSWER: The total cost for the used car with tax is $17,850.

Hopd this helps! :)

7 0

3 years ago

Read 2 more answers

The table shown below represents a function. Which of the following values could not be used to complete the table?

geniusboy [140]

<u>Answer:</u>

20 -20 0-15 0-5

<u>Step-by-step explanation:</u>

The original graph

<h3>X Y</h3><h3>-25 -10</h3><h3>-5 10</h3><h3>5 15</h3><h3 />

<u>Hope this helps you :)</u>

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2 years ago

Which pair of undefined terms is used to define a ray?

Zigmanuir [339]

Answer:

A point and a line.

Further explanation:

Ray is part of the line with one endpoint. Ray is an endless straight path in one direction from a starting point, e.g., .

The arrow above the point shows the direction of the longitudinal beam. The length of the ray cannot be calculated.

Undefined terms are basic figure that is not defined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

A point represents a location and has no dimension (size). It is labeled with a capital letter and a dot.

A line is an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.

A plane is a flat surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.

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3 years ago