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3 years ago

If (92)p = 98, what is the value of p?

Mathematics

2 answers:

AlladinOne [14]3 years ago

8 0

P=1.065222217391304348

Paladinen [302]3 years ago

5 0

hello human p=2

I think..... have a good day humans

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Solve for x (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

Determine the point (x,y) ( x , y ) on the unit circle associated with the following real number s. Write the exact answer as an

Harlamova29_29 [7]

The required coordinates of the unit circle for s = -11π/6 is (√3/2, 1/2). Using trigonometric functions, the required answer is calculated.

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

There are six trigonometric functions.

They are sin θ, cos θ, tan θ, sec θ, cosec θ, and cot θ.

Where θ - 0 to 360° or 0 to 2π

<h3>Calculation:</h3>

For a unit circle, the coordinates are given in the form of trigonometric functions as below:

x = cos θ and y = sin θ

Here it is given that s = θ = -11π/6

So, on substituting,

x = cos θ = cos (-11π/6)

⇒ x = √3/2

y = sin θ = sin (-11π/6)

⇒ y = 1/2

Thus, the required coordinate pair is (√3/2, 1/2).

Learn more about trigonometric functions here:

brainly.com/question/2291993

#SPJ1

7 0

11 months ago

A cylidrical container of height 28cm and diameter of 18cm is with water. The water is then poured into another container with a

MAVERICK [17]

Answer:

23.9894949495cm is the depth of the container.

Step-by-step explanation:

Cylindrical container:

height: 28

radius: 9 (or 18/2)

pi * 9² = 254.4690049408

254.4690049408 * 28 = 7,125.1321383424 cm²

cylidrical container area: 7,125.1321383424cm²

Container:

length: 27cm

width: 11cm

27 * 11 = 297

7,125.1321383424 / 297 = 23.9894949495cm

I assume that the container with rectangular base is precisely full when tou pour the water into it.

And that your question was how deep the container was.

4 0

3 years ago

Hellp me solve this thanks

stellarik [79]

Answer:

c. 10 cm

Step-by-step explanation:

The parallel sides of trapizium are the bases so

base 1(B1) =9cm , base(B2)= 12cm

$area(a) = 105 {cm}^{2}$

the perpendicular distance means the height so lets find the height

area of trapizium= B1 + B2 × h

2

${105cm}^{2}(the \: given \: area) = \frac{9cm(the \: given \: base) + 12cm(the \: given \: base)}{2} \times h$

${105cm}^{2} = \frac{21cm}{2} \times h$

now we crisscross

${105cm}^{2} \times 2 = 21cm \times h$

${210cm}^{2} = 21cm \times h$

$\frac{ {210cm}^{2} }{21cm} = \frac{21cm \: }{21cm} \times h$

h = 10 cm

hope u like it ‍❤️‍‍❤️‍‍❤️‍

For any question comment me

4 0

3 years ago

Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to

Nina [5.8K]

Hello!

$\large\boxed{9 \%}$

To find the percent tax, use the equation:

$\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}$

Substitute in the given values:

$\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09$

Multiply by 100 to find the percent tax:

$0.09 * 100 = 9\%$

4 0

3 years ago