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viva [34]
2 years ago
13

Thomas earns a higher pay rate on the number of hours more than 8 that

Mathematics
1 answer:
Yuki888 [10]2 years ago
6 0

The additional percent of his regular pay rate is 82.5% which he earned in the longer shift.

<h3>What is the percentage?</h3>

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

The longer shift is 12 hours.

Basic pay = $136.00

On a longer shift, Thomas earned = $248.20

The percent in increase:

\rm Percent \ increase = \dfrac{final \ amount - initial \ amount}{initial \ amount}\times 100

\rm Percent \ increase = \dfrac{248.20-136}{136}\times 100

Percent increase = 82.5%

Thus, the additional percent of his regular pay rate is 82.5% which he earned in the longer shift.

Learn more about the percentage here:

brainly.com/question/8011401

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Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6

6 0
3 years ago
Sixty-five percent of men consider themselves knowledgeable soccer fans. If 10 men are randomly​ selected, find the probability
alexira [117]

Answer:

.252

Step-by-step explanation:

{10\choose7}*.65^7*(1-.65)^3=.252219625

3 0
2 years ago
Which ordered pairs in the form (x, y) are solutions to the equation 7x−5y=28 ? Select each correct answer. <br>(7, 9) <br>(−1, 
dsp73
Trere are two correct answers.That are (-1,-7) and (-6,-14)
5 0
3 years ago
Need help with math 15 points
pantera1 [17]

Answer:

Which aspect of government does the United States have in common with the Roman Republic? Two consuls run the executive branch. Senators are elected into office for life.Which aspect of government does the United States have in common with the Roman Republic?

A Replica

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3 years ago
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Find sin(b) in the triangle.<br> A.4/3<br> B.3/5<br> C.3/4<br> D.4/5
DerKrebs [107]

The value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

<h3>What are the trigonometric ratios?</h3>

Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.

Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.

In the given figure, the side opposite to the angle \beta is AC = 4 and the hypotenuse is AB = 5.

So, the sine ratio will be equal to,

\sin \beta=\dfrac{4}{5}

Therefore, the value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

Learn more about trigonometric ratios here:

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2 years ago
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