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3 years ago

Someone please help with this question!

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Answer:

There are 0.475 pounds of apples in each tart.

I arrived in this number by dividing the total number of pounds by the total number of tarts made.

475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.

475 lbs/1000 tarts = 0.475 lbs/tart

So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.

y = 0.475x

where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.

Step-by-step explanation:

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Explain how you know that 0.38 is a rational number?

dangina [55]

Answer:

0.38 is a rational number because it can be expressed as fraction, and it isn't a repeating decimal.

Step-by-step explanation:

Repeating decimals aren't rational, and all rational numbers can be expressed as a fraction, or they aren't rational.

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The sum of a number (n) and 14 is 72. Which equation shows this relationship

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What is the area of a regular octagon with the side length 1 meter

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2 years ago

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

$\frac{\frac{1}{2}}{-1}$

$\frac{\frac{-1}{4}}{\frac{1}{2}}$

They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

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3 years ago

Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11)

Katen [24]

Answer:

$\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1$ is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).

Step-by-step explanation:

We have given the vertices at (0, ±9) and foci at (0, ±11).

Let (0,±a) = (0,±9) and (0,±c) = (0,±11)

The standard equation of parabola is:

$\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1$

From statement, a = 9

c² = a²+b²

(11)² = (9)²+b²

121-81 = b²

40 = b²

Putting the value of a² and b² in standard equation of parabola, we have

$\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1$ which is the answer.

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3 years ago