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3 years ago

Can you help me on this one please

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

8 0

Answer: x ≥ 1307

Explanation:

First, write the formula:
monthly fee: $14
minute rate: 7¢ or $0.07
total charge: $105.49
.07x + 14 ≥ 105.49 (the sign is this way because they said this price was the least she had been charged for a month.
You can solve for x just like you would in an equation by making the ≥ sign an equal sign
.07x + 14 = 105.49
- 14 -14
.07x = 91.49
÷ .07 ÷ .07
x = 1307 minutes
since you didn't divide by a negative number, the inequality sign stays the same:
x ≥ 1307

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Use integration by parts to find the integrals in Exercise.<br> ∫(4x-12)e-8x dx.

stepladder [879]

Answer:

$e(2x^{2} -12x)-4x^{2}+C$

Step-by-step explanation:

We have been given an indefinite integral as $\int \left(4x-12\right)e-8x\:dx$ . We are asked to find the given integral.

Let us solve our given problem.

$\int \left(4x-12\right)e\:dx-\int 8x\:dx$

Take out constant:

$e\int \left(4x-12\right)\:dx-8\int x\:dx$

$e(\int 4x\:dx -\int 12\right\:dx)-8\int x\:dx$

$e(\frac{4x^{1+1}}{2} -12x)-8*\frac{x^{1+1}}{1+1}+C$

$e(\frac{4x^{2}}{2} -12x)-8*\frac{x^{2}}{2}+C$

$e(2x^{2} -12x)-4x^{2}+C$

Therefore, our required integral would be $e(2x^{2} -12x)-4x^{2}+C$ .

5 0

3 years ago

The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of

Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

$\cos(60 \degree) = \frac{altitude}{hypotenuse}$

$\cos(60 \degree) = \frac{altitude}{8}$

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

$\sin(60 \degree) = \frac{4 - y}{y}$

$y\sin(60 \degree) = 4 - y$

$y\sin(60 \degree) + y= 4$

$(\sin(60 \degree) + 1)y= 4$

$y= \frac{4}{\sin(60 \degree) + 1}$

$y = 16 - 8 \sqrt{3}$

y=1.857

The diameter is 2y

$d = 32 - 16 \sqrt{3}$

=2(1.875)

The length of a Diameter is 3.714

7 0

3 years ago

Read 2 more answers

Please help me, math is so hard

Aneli [31]

Answer:

32 divided by 4 = 8,

8^2 + 8^2 = 128

128: 11^2 = 121 close enough, 11 is your answer

We are finding hypotenuse but first we find the length of all sides of the two squares to find the two sides of the triangle then we find hypotenuse.

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3 years ago

Read 2 more answers

Can u guys please help me!!

Alona [7]

Answer and Step-by-step explanation:

This problem requires the use of trigonometric functions, specifically the tangent trig function.

$tan(Angle)=\frac{opposite}{adjacent}$

Plug in the values.

$tan(40) = \frac{8000}{x}$

Multiply by x to both sides, then divide by tan(40) to both sides.

$x = \frac{8000}{tan(40)}$

Now, plug this into a calculator and rounded to the nearest whole number (foot).

x = 9534.0287

x = 9534 ft.

The answer is 9534 ft., the last option.

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3 years ago

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horsena [70]

Step-by-step explanation:

x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰

x = 60⁰...

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3 years ago