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3 years ago

What the input and output is

Mathematics

1 answer:

Zina [86]3 years ago

8 0

Hello from MrBillDoesMath!

Answer:

Rule: Y = 5x - 3

Table Line 4: Y (output) = 37

Table Line 5: X (input) = 10

Discussion:

This one had MrBill going for a while! The rule appears to be

Y = 5 * x - 3

Check it out! Substitute some table values (input) and check the (output) values.

Table line 4: Y(8) = 5 * 8 - 3 = 40 - 3 = 37 (Output)

Table line 5: If Y = 47 = 5*x -3 => add 3 to both sides

47 + 3= 5x => as 47 +3 = 50

50 = 5x => divide both sides by 5

x = 50/5 = 10 (input)

Thank you,

MrB

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What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is 1,562,500

4 0

3 years ago

PLSSS HELP WILL BE MARKED BRAINLIEST

vekshin1

Answer:

We need 232 mL of Compound A

Step-by-step explanation:

We know the ratio

A : B : total

4 3 4+3

4 3 7

We want 406

406 /7 =58

Multiply each part by 58

A : B : total

4*58 3*58 7*58

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4 years ago

The half life of a certain tranquilizer in the bloodstream is 36 hours. How long will it take for the drug to decay to 87% of th

Fudgin [204]

Finding the Decay constant(λ):

λ = 0.693 / (half-life)

we are given that the half-life is 36 hours

λ = 0.693 / (36)

λ = 0.01925 /hour

Time taken for 87% decay:

Since decay is first-order, we will use the formula:

$t = \frac{2.303}{decay constant}log(\frac{A_0}{A} )$

Where A₀ is the initial amount and A is the final amount

Let the initial amount be 100 mg,

the final amount will be 87% of 100

Final amount = 100*87/100 = 87 mg

Replacing the values in the equation:

$t = \frac{2.303}{0.01925}log(\frac{100}{87} )$

$t = \frac{2.303}{0.01925}*0.06$

t = 7.18 hours

We used 'hours' as the unit because the unit of the decay constant is '/hour'

Therefore, the drug will decay to 87% of initial dosage after 7.18 hours

7 0

3 years ago

-8,-8,-6,-2,4,12,22 quadratic sequence

cestrela7 [59]

9514 1404 393

Answer:

a[n] = n^2 -3n -6

Step-by-step explanation:

First differences are ...

-8 -(-8) = 0

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Second differences are ...

2 -0 = 2

4 -2 = 2

Constant second differences indicate a degree 2 (quadratic) sequence.

The general formulation can be written as ...

an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference

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7 0

3 years ago

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amid [387]

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3 years ago