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3 years ago

340 over 8 as a unit rate

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

340 170 85 1
------ = ------- = ------ = 42 ---
8 4 2 2

hope helped

Anastasy [175]3 years ago

4 0

340/8 = 42.50 per unit

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F (10) = 10/2 = 5 . how to solve this problem

Sonja [21]

Answer:

f(10) means to input x = 10 into the function.

From inspection of the given function:

$\sf f(10)=\dfrac{10}{2}=5$

the "10" is the numerator of the fraction.

Therefore, swap the "10" for "x" to give the function in terms of x:

$\sf f(x)=\dfrac{x}{2}$

3 0

2 years ago

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A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The

Bad White [126]

Answer:

$4.9\%$

Step-by-step explanation:

we know that

To find out the probability of hitting a ball into the circular hole, divide the area of the hole by the area of the playing area

Let

x ----> the area of the hole

y ----> the area of the playing game

$P=\frac{x}{y}$

we have

$y=16\ ft^2$

<em>Find the area of the hole</em>

The area of the circle (hole) is equal to

$A=\pi r^{2}$

we have

$r=1/2=0.5\ ft$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$A=(3.14)(0.5)^{2}$

$A=0.785\ ft^2$

<em>Find the probability</em>

$P=\frac{x}{y}$

we have

$x=0.785\ ft^2$

$y=16\ ft^2$

substitute

$P=\frac{0.785}{16}$

$P=0.0491$

Convert to percentage

$0.0491*100=4.91\%$

Round to the nearest tenth

$4.9\%$

5 0

3 years ago

A bag contains 8 purple marbles & 12 green marbles. You choose one marble out of the bag without looking.

MrRissso [65]

Answer:

1. P(P) = 8/20 = 0.4

2. P(G) = 12/20 = 0.6

Step-by-step explanation:

Given;

Number of green marbles G = 12

Number of purple marbles P = 8

Total T = 12+8 = 20

The probability that you choose a purple marble P(P) is;

P(P) = number of purple marbles/total number of marbles

P(P) = P/T = 8/20 = 0.4

P(P) = 0.4

The probability that you choose a Green marble P(G) is;

P(G) = number of Green marbles/total number of marbles

P(G) = G/T = 12/20 = 0.6

P(G) = 0.6

6 0

3 years ago

Convert 4 2/3% to a fraction in simplest form.

Ainat [17]

Well it would be 4 2/3 or 14/3

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2 years ago

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Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.

julsineya [31]

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

$f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}$

Now, we distribute the expression of f(x) and find the derivative afterwards.

$f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0

3 years ago