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g100num [7]
3 years ago
14

A delivery service charges $1.25 for

Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer: 6\ \text{miles}

Step-by-step explanation:

Given

A delivery service charge \$1.25 for each delivery

and an additional \$0.75 for each mile traveled

Suppose, x miles are covered

The charge is given by

\Rightarrow 5.75=1.25+0.75x\\\Rightarrow 4.5=0.75x\\\Rightarrow x=6\ \text{miles}

Therefore, driver traveled 6 miles for delivery

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EastWind [94]
Cubert (x^2) * cubert(x^2)=
Since they're both cube roots you can multiply the radicands.
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4 years ago
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Solve the triangle.<br> A = 32°, a = 19, b = 14
Paha777 [63]

Answer:

A = 32°, a = 19, b = 14, B=22.98°, C = 125.02°, c = 29.36

Step-by-step explanation:

We have two sides of the triangle and we have an angle.

A = 32 °, a = 19, b = 14

We use the sine theorem to find the angle B.

We know that according to the sine theorem it is true that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

\frac{sin(32\°)}{19}=\frac{sin(B)}{14}

sin(B)=14*\frac{sin(32\°)}{19}\\\\B=Arcsin(14*\frac{sin(32\°)}{19})\\\\B=22.98\°

We know that the sum of the internal angles of a triangle is always equal to 180.

So:

C=180-32-22.98\\\\C=125.02\°

Finally we find the c side

\frac{sin(A)}{a}=\frac{sin(C)}{c}

\frac{sin(32\°)}{19}=\frac{sin(125.02)}{c}

0.02789=\frac{sin(125.02)}{c}

c=\frac{sin(125.02)}{0.02789}\\\\c=29.36

8 0
3 years ago
Find the average rate of change of g(x)=x^2-4x+1 from X=3 to X=5
77julia77 [94]

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Step-by-step explanation: Ezzz

6 0
3 years ago
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The formula for the sum of an infinite geometric series, s=a1/1-r, may be used to convert 0.23 to a fraction. What are the value
steposvetlana [31]

Given

The formula for the sum of an infinite geometric series

s =\frac{a1}{1-r}

used to convert 0.23 to a fraction

Find out  the values of a1 and r

To proof

As given in the question

The series is infinte geometric series

The  geometric is mostly in the form a , ar , ar² ,............

s = a + ar + ar² + ar³...........

Where  a = first term

         r = common ratio

The series is infinte geometric series i.e 0.2323...

thus it is written in the form

s  = 0.23 + 0.0023 + 0.000023 +...........

now written in the fraction form

we get

s = \frac{23}{100} +\frac{23}{10000}+\frac{23}{1000000} + .......

compare this series with the

s = a + ar + ar² + ar³...........

Thus

we get

a1 = \frac{23}{100}

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6 0
3 years ago
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What is the degree of f(x) = (x + 3)(x - 1)(2x + 2)?<br><br>A. 1 B.2 C.3 D.4
Semmy [17]

Answer:

I believe the answer is c) 3

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x(x) + x(-1) + 3(x) + 3(-1)

f(x) = (x^2 - x + 3x - 3)(2x + 2)

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f(x) = (2x^3 + 4x^2 - 6x + 2x^2 - 6)

<u>f(x) = (2x^</u><u>3</u><u> + 6x^2 - 6x - 6)</u>

4 0
3 years ago
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