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3 years ago

8

Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. y = x + 3 4x – 5y = –15 (1 point) para

llel perpendicular neither

1 answer:

yarga [219]3 years ago

8 0

AnswerStep-by-step explanation:

neither

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Give a proper fraction whose denominator and denominator add up to 10

saveliy_v [14]

9514 1404 393

Answer:

1/9, 2/8, 3/7, 4/6

Step-by-step explanation:

The fraction will be proper when the numerator is less than the denominator. That means numerators can be less than 10/2 = 5. The fractions that satisfy the requirement are ...

1/9, 2/8, 3/7, 4/6

Those with even numerators can be reduced. So the reduced fractions are ...

1/9, 3/7

6 0

3 years ago

The product of three consecutive<br> numbers CANNOT be:<br> A 210<br> B. 336<br> C. 560<br> D. 1716

TiliK225 [7]

Answer:

The answer is C

Step-by-step explanation:

7 0

3 years ago

The width of a rectangle is 2x ^2 +9x -7 and length is x^2 -9

lesantik [10]

Answer:

63 - 81x - 25x² + 9x³ + 2x⁴

Step-by-step explanation:

Multiply the two polynomials to arrive at your answer I guess, since this was not specific enough.

I am joyous to assist you anytime.

7 0

3 years ago

At the beginning of an environmental study, a forest covered an area of 1500 km. Since then, this area has decreased by 7.25% ea

WITCHER [35]

$\qquad \textit{Amount for Exponential Decay} \\\\ y=P(1 - r)^t\qquad \begin{cases} y=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ y=1500(1-0.0725)^t\implies y=1500(0.9275)^t$

5 0

2 years ago

If c is the curve given by \mathbf{r} \left( t \right = \left( 1 5 \sin t \right \mathbf{i} \left( 1 3 \sin^{2} t \right \mathbf

jonny [76]

With the curve $C$ parameterized by

$C:\mathbf r(t)=\underbrace{15\sin t}_{x(t)}\,\mathbf i+\underbrace{13\sin^2t}_{y(t)}\,\mathbf j+\underbrace{12\sin^3t}_{z(t)}\,\mathbf k$

with $0\le t\le\dfrac\pi2$ , and given the vector field

$\mathbf f(x,y,z)=x\,\mathbf i+y\,\mathbf j+z\,\mathbf k$

the work done by $\mathbf f$ on a particle moving on along $C$ is given by the line integral

$\displaystyle\int_C\mathbf f\cdot\mathrm d\mathbf r=\int\limits_{t=0}^{t=\pi/2}\mathbf f(x(t),y(t),z(t))\cdot\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\,\mathrm dt$

where

$\mathrm d\mathbf r=(15\cos t\,\mathbf i+26\sin t\cos t\,\mathbf j+36\sin^2t\cos t\,\mathbf k)\,\mathrm dt$

The integral is then

$\displaystyle\int_0^{\pi/2}(15\sin t\,\mathbf i+13\sin^2t\,\mathbf j+12\sin^3t\,\mathbf k)\cdot(15\cos t\,\mathbf i+13\sin2t\,\mathbf j+18\sin t\sin2t\,\mathbf k)\,\mathrm dt$
$=\displaystyle\int_0^{\pi/2}(432\sin^5t\cos t+338\sin^3t\cos t+225\sin t\cos t$
$=269$

6 0

3 years ago