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3 years ago

Find the values for m and n that would make the following equation true.

Mathematics

1 answer:

dimaraw [331]3 years ago

4 0

You would solve it in two parts.

4*n = 44 Divide by 4

4n/4 = 44/4

n = 11

=============

z^m * z^2 = z^9

When the bases are the same (on the left) the powers on the left add

m + 2

The powers on the left side of the equation are the same as the powers on the right when the bases are the same.

m + 2 = 9 Subtract 2 from both sides.

m + 2 - 2 = 9 - 2

m = 7

=================

Answers

m = 7

n = 11

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The sum of two numbers is 14. When one number is added to twice the other number, the result is 25. Find the numbers

ELEN [110]

Let x and y be the two numbers. We have:

$\begin{cases}x+y=14\\x+2y=25\end{cases}$

Subtract the first equation from the second to get

$y=11$

And deduce

$x+11=14 \iff x=3$

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3 years ago

Find the functional values g (-3), g (0), and g (5) for the compound function.

Zinaida [17]

Answer:

$g(-3)=7$

$g(0)=7$

$g(5)=\dfrac15$

Step-by-step explanation:

$g(x) =\begin{cases}7 & \text{if } x \leq 0 \\ \\\dfrac{1}{x} & \text{if } x > 0\end{cases}$

This means:

when x is equal to zero or less than zero, g(x) will always be 7.

when x is more than zero, g(x) is $\frac{1}{x}$

$\implies g(-3)=7$

$\implies g(0)=7$

$\implies g(5)=\dfrac15$

5 0

2 years ago

Read 2 more answers

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

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3 years ago

Ann wants to choose from two telephone plans. Plan A involves a fixed charge of $10 per month and call charges at $0.10 per minu

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Plan B $15 + .08/minute

If 250 minutes are used:

Plan A: $10+$25=$35
Plan B: $15+$20=$35

If 400 minutes are used:

Plan A: $10+$40=$50
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B is the correct answer. How to test it:

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Plan B: $15+(.08*249 minutes)
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Plan A < Plan B if less than 250 minutes are used.

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inna [77]

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