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spin [16.1K]
4 years ago
15

The coffee shop owner explains that she will work 12 hours more than you do if you get the job. She will work 50 hours edch week

. Write an equatioh that describes the situation and explain what the variable represents.
Mathematics
1 answer:
MrMuchimi4 years ago
3 0

Answer:

The owner says that she will work 12 hours more than you if you get the job.

We know that she works 50 hours each week.

then, knowing that she works 50 hours per week and that she works 12 hours more than you, you have that, if H is the number of hours that you work per week, you have:

H + 12 = 50

Here says that the number of hours that you work, plus 12 hours, is equal to the number of hours that the owner works.

H = 50 - 12 = 38

This means that you would work 38 hours per week.

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Important formulas included in derivative.​
allochka39001 [22]

Answer:

s d(f(x))dx=f′(x) and g’ means d(g(x))dx = g′(x) .

Step-by-step explanation:

4 0
3 years ago
A large rectangular area is to be fenced off ( a large rectangle divided into 2 smaller rectangles). The fence used to divide th
Anvisha [2.4K]

Answer:

Length of area is 857.14 ft

Width of area is 857.14 ft

Length of dividing fence is 857.14 ft

Step-by-step explanation:

Here we have

Area of rectangle = Length × Width

The dimension, of the rectangle with the largest area is the dimension of a square, hence we have;

Length of rectangle = Width of rectangle = x

Hence,  the perimeter of the area = 4·x, while the width of the dividing fence = x

Therefore, since the we have;

Cost of the perimeter fence = $15/foot

Cost of the dividing fence = $10/foot

Then;

4·x × 15 + x × 10 = 60000

60·x + 10·x = 60000

x = 60000/70 = 857.14 ft

Which gives the following dimensions;

Length of area = 857.14 ft

Width of area = 857.14 ft

Length of dividing fence = 857.14 ft.

3 0
3 years ago
Please help me
Hitman42 [59]

By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression \frac{1}{1 - \sin x} - \frac{1}{1 + \sin x} is equivalent to the <em>trigonometric</em> expression \frac{2\cdot \tan x}{\cos x}.

<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>

In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:

\frac{1}{1 - \sin x} - \frac{1}{1 + \sin x}       Given.

\frac{1 + \sin x - 1 + \sin x}{1 - \sin^{2}x}      Subtraction between fractions with different denominator / (- 1) · a = - a.

\frac{2\cdot \sin x}{\cos^{2}x}      Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)

\frac{2\cdot \tan x}{\cos x}      Definition of tangent / Result

By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression \frac{1}{1 - \sin x} - \frac{1}{1 + \sin x} is equal to the <em>trigonometric</em> expression \frac{2\cdot \tan x}{\cos x}. Hence, the former expression is equivalent to the latter one.

To learn more on trigonometric equations: brainly.com/question/10083069

#SPJ1

4 0
2 years ago
two triangles are similar. The base of the first triangle is 10 cm and the height is 15 cm. The base of the second triangle is 1
Andrei [34K]

Answer:

the height is 18cm

Explanation:

If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Are these ratios equal?

given that

Triangle 1 (first triangle)

base = 10cm

height = 15cm

Triangle 2 (second triangle)

base = 12cm

height = unknown

base 1 / base 2 = height 1 / height 2

10cm / 12cm = 15cm / xcm

xcm = 18cm

height = 18cm

8 0
3 years ago
Complete the square in the quadratic equation in order to write the equation in vertex form.y = x^2 - 6x - 8
Vesna [10]
Sent a picture of the solution.

4 0
3 years ago
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