If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?

How can you use order numbers that are written as fractions, decimals, and percents?

galina1969 [7]

2.5 4/5 8% that is an example of written fractions decimal and percents

7 0

3 years ago

Calculations that allow a researcher to draw conclusions about how meaningful a result is are collectively called ______________

tatiyna

Answer: Inferential

Step-by-step explanation:

Inferential statistics, has to do with taking data from the samples that the researcher has and then making generalizations about the population through the sample gotten.

Through Inferential statistics, one can draw conclusion about a particular phenomenon. Therefore, the answer to the above question is Inferential statistics

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5 0

3 years ago

What is 39/100 in simplest form?

svp [43]

39/100 is the simplest form

7 0

3 years ago

Read 2 more answers

Use spherical coordinates to find the volume of the region that lies outside the cone z = p x 2 + y 2 but inside the sphere x 2

Harman [31]

I assume the cone has equation $z=\sqrt{x^2+y^2}$ (i.e. the upper half of the infinite cone given by $z^2=x^2+y^2$ ). Take

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

The volume of the described region (call it $R$ ) is

$\displaystyle\iiint_R\mathrm dx\,\mathrm dy\,\mathrm dz=\int_0^{2\pi}\int_0^{\sqrt2}\int_{\pi/4}^\pi\rho^2\sin\varphi\,\mathrm d\varphi\,\mathrm d\rho\,\mathrm d\theta$

The limits on $\theta$ and $\rho$ should be obvious. The lower limit on $\varphi$ is obtained by first determining the intersection of the cone and sphere lies in the cylinder $x^2+y^2=1$ . The distance between the central axis of the cone and this intersection is 1. The sphere has radius $\sqrt2$ . Then $\varphi$ satisfies

$\sin\varphi=\dfrac1{\sqrt2}\implies\varphi=\dfrac\pi4$

(I've added a picture to better demonstrate this)

Computing the integral is trivial. We have

$\displaystyle2\pi\left(\int_0^{\sqrt2}\rho^2\,\mathrm d\rho\right)\left(\int_{\pi/4}^\pi\sin\varphi\,\mathrm d\varphi\right)=\boxed{\frac43(1+\sqrt2)\pi}$

4 0

2 years ago

-2x + y =0 5x + 3y = -11

Ivahew [28]

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

-2x + y = 0

5x + 3y = -11

Step 2: Rewrite Systems

-2x + y = 0

Add 2x on both sides: y = 2x

Step 3: Redefine Systems

y = 2x

5x + 3y = -11

Step 4: Solve for x

Substitution

Substitute in y: 5x + 3(2x) = -11
Multiply: 5x + 6x = -11
Combine like terms: 11x = -11
Isolate x: x = -1

Step 5: Solve for y

Define equation: y = 2x
Substitute in x: y = 2(-1)
Multiply: y = -2

Step 6: Graph Systems

Check the solution set.

3 0

2 years ago