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Lubov Fominskaja [6]
1 year ago
13

Steven Kellogg, a jet airplane mechanic, works at an hourly rate of

Mathematics
1 answer:
lozanna [386]1 year ago
3 0

Answer:

Part a) The straight-time pay is \$1,332

Part b) The overtime  pay is \$432

Part c) The total pay is \\$1,764

Step-by-step explanation:

Part a) What is his straight-time  pay?

To find out his straight-time  pay multiply the hourly rate of $36 by 37 hours worked

so

(36)(37)=\$1,332

Part b) What is his overtime  pay?

we know that

The hourly rate for overtime is equal to

(1.5)(36)=\$54

so

Multiply the hourly rate for overtime by the number of hours overtime

(54)(8)=\$432

Part c) What is his total pay?

we know that

The total pay is equal to sum the straight-time  pay plus the overtime  pay

\$1,332+\$432=\$1,764

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The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is
Ede4ka [16]

Answer:

The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is \sqrt{18} or in simplified terms, 3\sqrt{2}

Step-by-step explanation:

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1 year ago
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A
gavmur [86]

Answer:

m∠QPM=43°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠NPQ=m∠MPN+m∠MPQ

we have

m∠NPQ=(9x-25)°

m∠MPN=(4x+12)°

m∠MPQ=(3x-5)°

substitute the given values and solve for x

(9x-25)°=(4x+12)°+(3x-5)°

(9x-25)°=(7x+7)°

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Find the measure of angle QPM

Remember that

m∠QPM=m∠MPQ

m∠MPQ=(3x-5)°

substitute the value of x

m∠MPQ=(3(16)-5)=43°

therefore

m∠QPM=43°

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2 years ago
What is the additive identity of the complex number 14 + 5i?
Naddika [18.5K]

Answer: B) 0


Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

0+0i

3. Then, for the complex number 14+5i, you have:

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4. Therefore, the answer is the option B.

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