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Masteriza [31]
4 years ago
7

What is the algebraic representation of 3 times the difference of a number and 5

Mathematics
1 answer:
ki77a [65]4 years ago
6 0
" the difference"  means subtract

3(n - 5) <== ur expression
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Find the midpoint of the segment with the endpoints: (-7, -13) and (-11, -5)
vichka [17]

Answer:

<u>(-9, -9)</u>

Step-by-step explanation:

Midpoint Formula :-

(x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

= (-7 + -11 / 2, -13 + -5 / 2)

=<u> (-9, -9)</u>

6 0
3 years ago
9. Which have infinite length?
Iteru [2.4K]
Line is the answer. Cheers mate
7 0
4 years ago
I need to find sec(theta)= 2(sqrt3)/3
Sloan [31]

Answer: 30° and 330°

<u>Step-by-step explanation:</u>

sec θ = \frac{2\sqrt{3}}{3}

sec θ = \frac{1}{cos(\theta)}

\frac{1}{cos(\theta)} = \frac{2\sqrt{3}}{3}

cos θ = \frac{3}{2\sqrt{3}}

cos θ = \frac{3}{2\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}})

cos θ = \frac{3\sqrt{3}}{3*2}

cos θ = \frac{\sqrt{3}}{2}

Look at the Unit Circle to see that cos = \frac{\sqrt{3}}{2} at 30° and 330°  ( which is equivalent to π/6 and 11π/6)


4 0
3 years ago
Read 2 more answers
Solve for AC using the Pythagorean theorem
raketka [301]

Answer:

AC = 8.3

Step-by-step explanation:

A² + 11² = 13.8²

A² + 121 = 190.44

Subtract 121 from both sides

A² = 69.44

√A = √69.44

AC = 8.3

3 0
4 years ago
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the sp
adoni [48]

Answer:

The null hypothesis is H_0: \mu = 4.1

The alternate hypothesis is H_a: \mu \neq 4.1

Step-by-step explanation:

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters

This means that the null hypothesis is that the diameter has the supposed value, that is, H_0: \mu = 4.1

If the spindle is either too small or too large, the motor will not work properly.  The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.

Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is H_a: \mu \neq 4.1

5 0
3 years ago
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