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3 years ago

Survey math help please

Mathematics

2 answers:

9966 [12]3 years ago

7 0

Answer:

25%

Step-by-step explanation: 75/300 equals 25%.

marishachu [46]3 years ago

4 0

75 females own a blue car out of 300 people. 75/300 x 100 = 25%

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Rewrite the equation below in standard form y=2x+5.

Bingel [31]

Standard Form is Ax + By = C
y=2x+5
-2x+y= -2x+2x +5
-2x + y = 5

Answer -2x + y = 5

7 0

3 years ago

Solve the systems of equations using the substitution method. 5y-6=x Y=-x

kaheart [24]

Answer:

x=-1, y=1. (-1, 1).

Step-by-step explanation:

5y-6=x

y=-x

-----------

5(-x)-6=x

-5x-6=x

-5x-x=6

-6x=6

x=6/-6

x=-1

y=-(-1)=1

7 0

3 years ago

Calculate s f(x, y, z) ds for the given surface and function. g(r, θ) = (r cos θ, r sin θ, θ), 0 ≤ r ≤ 4, 0 ≤ θ ≤ 2π; f(x, y, z)

Triss [41]

$g(r,\theta)=(r\cos\theta,r\sin\theta,\theta)\implies\begin{cases}g_r=(\cos\theta,\sin\theta,0)\\g_\theta=(-r\sin\theta,r\cos\theta,1)\end{cases}$

The surface element is

$\mathrm dS=\|g_r\times g_\theta\|\,\mathrm dr\,\mathrm d\theta=\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

and the integral is

$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\int_0^{2\pi}\int_0^4((r\cos\theta)^2+(r\sin\theta)^2)\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

$=\displaystyle2\pi\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac\pi4(132\sqrt{17}-\sinh^{-1}4)$

###

To compute the last integral, you can integrate by parts:

$u=r\implies\mathrm du=\mathrm dr$

$\mathrm dv=r\sqrt{1+r^2}\,\mathrm dr\implies v=\dfrac13(1+r^2)^{3/2}$

$\displaystyle\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac r3(1+r^2)^{3/2}\bigg|_0^4-\frac13\int_0^4(1+r^2)^{3/2}\,\mathrm dr$

For this integral, consider a substitution of

$r=\sinh s\implies\mathrm dr=\cosh s\,\mathrm ds$

$\displaystyle\int_0^4(1+r^2)^{3/2}\,\mathrm dr=\int_0^{\sinh^{-1}4}(1+\sinh^2s)^{3/2}\cosh s\,\mathrm ds$

$\displaystyle=\int_0^{\sinh^{-1}4}\cosh^4s\,\mathrm ds$

$=\displaystyle\frac18\int_0^{\sinh^{-1}4}(3+4\cosh2s+\cosh4s)\,\mathrm ds$

and the result above follows.

4 0

3 years ago

7. Nine more than three times a mumber is -6

Vinvika [58]

Answer:

three x a mumber is 18 that is the answer

3 0

2 years ago

Read 2 more answers

The average distance from Venus to the Sun is 108,200,000 kilometers. Which of the following is the number expressed in scie

NISA [10]

Option C

ANSWER:

The scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

SOLUTION:

Given,the average distance from Venus to the Sun is 108,200,000 kilometers.

We need to find the above given distance in the scientific notation.

Scientific notation is nothing but writing the large numbers as product of ten power something so that we can reduce space required to write that number.

Now, 108200000 can be written in scientific notation as:

= 10820000 x 10

$=1082000 \times 10^{2}$

$=108200 \times 10^{3}$

$=10820 \times 10^{4}$

$=1082 \times 10^{5}$

$=108.2 \times 10^{6}$

$=10.82 \times 10^{7}$

$=1.082 \times 10^{8}$

Hence the scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

4 0

3 years ago