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3 years ago

Each set of ordered pairs represents a function. Write a rule that represents the function.

1 answer:

4 0

My answer to the question is as follows:

First one looks like you are squaring the number, then multiplying the result by 4, i.e.

y=4x2

second one is similar, but instead of squaring and multiplying by 4, you are squaring and then dividing by 2

I hope my answer has come to your help. God bless and have a nice day ahead!

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Two blocks are connected by a very light string passing over a massless and frictionless pulley. The 20.0 N block moves 75.0cm t

Angelina_Jolie [31]

The string is assumed to be massless so the tension is the sting above the 12.0 N block has the same magnitude to the horizontal tension pulling to the right of the 20.0 N block. Thus,
1.22 a = 12.0 - T (eqn 1)
and for the 20.0 N block:
2.04 a = T - 20.0 x 0.325 (using µ(k) for the coefficient of friction)
2.04 a = T - 6.5 (eqn 2)

[eqn 1] + [eqn 2] → 3.26 a = 5.5
a = 1.69 m/s²

Subs a = 1.69 into [eqn 2] → 2.04 x 1.69 = T - 6.5
T = 9.95 N

Now want the resultant force acting on the 20.0 N block:
Resultant force acting on the 20.0 N block = 9.95 - 20.0 x 0.325 = 3.45 N
Units have to be consistent ... so have to convert 75.0 cm to m: 

75.0 cm = 75.0 cm x [1 m / 100 cm] = 0.750 m
work done on the 20.0 N block = 3.45 x 0.750 = 2.59 J

3 0

3 years ago

Stan has made a $125.30 monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years. he would now

Andrew [12]

The annuity of the monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years is $333.71

<h3>What is annuity?</h3>

An annuity is a series of payments made at equal period of time.

future value = annuity x [(1 + i)ⁿ - 1] / i

annuity = $125.30

i = 1.5% / 12 = 0.00125

n = 35 years x 12 months = 420

future value = $125.30 x [(1 + 0.00125)⁴²⁰ - 1] / 0.00125

future value = $69,156.049 ≈ $69,156.05

annuity = [i x (present value)] / [1 - (1 + i)⁻ⁿ]

i = 1.5% / 12 = 0.00125

n = 20 years x 12 months = 240

present value = $69,156.05

annuity = (0.00125 x $69,156.05) / [1 - (1 + 0.00125)⁻²⁴⁰]

annuity = $86.45 / 0.25904

= $333.71

Learn more about annuity;

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4 0

2 years ago

What is 61 / 100 -7/25

boyakko [2]

Answer:

0.33

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3 0

3 years ago

Read 2 more answers

NEED HELP ASAP PLEASE IM TRYNA PASS

V125BC [204]

Answer:

segment SV

Step-by-step explanation:

Observing the figure

we know that

The side that is common to triangle SUV and triangle VTS is only the segment SV

There are no common angles to triangle SUV and triangle VTS

therefore

The answer is the segment SV

3 0

3 years ago

Can i pls have help with is soooooooooo confused

STALIN [3.7K]

500.

Solution: 210 is 42% of X

Equation: Y = P% * X

Solving our equation for X

X = Y/P%

X = 210/42%

Converting percent to decimal:

p = 42%/100 = 0.42

X = 210/0.42

X = 500

6 0

3 years ago