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2 years ago

Write a decimal 3 times less than 34.75

Mathematics

2 answers:

nadezda [96]2 years ago

6 0

Answer:

11.58(3)

Step-by-step explanation:

A decimal 3 times less than 34.75

For now, let's say that "a decimal" is x

x is 3 times less than 34.75 means 3 times x is equal to 34.75

If 34.75 = 3x, you can isolate x by dividing both sides of the equation by 3

x = 11.58(3)

*NOTE the parenthesis () around 3 means the 3 is repeating

Hope this helps :)

Have a nice day!

Sliva [168]2 years ago

3 0

Answer:

Pretty sure it's .03475

Step-by-step explanation:

You just move the decimal back three places

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If 8(x) is the inverse of f(x) and f(x) = 4x + 12, what is g(x)?

Novay_Z [31]

Answer:

$g(x)=\frac{x-12}{4}$

Step-by-step explanation:

To find the inverse of y=4x+12, all you need to is swap x an y and then remake y the subject.

y=4x+12

Swap x and y:

x=4y+12

Solve for y:

Subtracting 12 on both sides:

x-12=4y

Dividing 4 on both sides:

$\frac{x-12}{4}=y$

So $g(x)=\frac{x-12}{4}$

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3 years ago

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Suppose you add two linear equations that form a system, and you get the result −5 = −5. How many solutions does the system have

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Infinite amount of solutions

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3 years ago

A density graph is used to find the probability of a discrete random variable

IRINA_888 [86]

Answer:

False

Step-by-step explanation:

This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.

Therefore, it's B ( false).

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3 years ago

A typical running track is an oval with 74-m-diameter half circles at each end. a runner going once around the track covers a di

denpristay [2]

Answer:

Her centripetal acceleration during the turn at each end of the track is $0.432\, \frac{m}{s^{2}}$

Step-by-step explanation:

Total distance covered in one round , D= 400 m

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Now centripetal acceleration is given by

$a_c=\frac{V^{2}}{R}$

where $V= 4.0\frac{m}{s}$

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$\therefore a_c=\frac{4^{2}}{37}\, \frac{m}{s^{2}}=0.432\, \frac{m}{s^{2}}$

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4 years ago

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You plan to accumulate 100,000 at the end of 42 years by making the follow-

Mariana [72]

Answer:

Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

Ax = (24.129022X)(1.07^28) = 160.429967X

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

Now we can write the two equations in the two unknowns:

Ax +Ay = 100,000

X - Y = 100

From the latter, we have ...

X = Y +100

So the first equation becomes ...

160.429967(Y +100) +14.783599Y = 100000

175.213566Y +16,043.00 = 100,000

Y = (100,000 -16,043)/175.213566 ≈ 479.17

Y is 479.17

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3 years ago