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katovenus [111]

3 years ago

6

Pete can run 178 yards in one minute. Sharon can run 119 more yards then Pete in one minute how many yards can they both run in

one minute

1 answer:

worty [1.4K]3 years ago

5 0

Answer:

495

Step-by-step explanation:

pete=178

sharon=178+119=297

297+178=495

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Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

4 0

3 years ago

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of p

Nady [450]

For this case we have the following type of equations:
Quadratic equation:
$y = ax ^ 2 + bx + c
$
Linear equation:
$y = mx + b
$
We observe that when equating the equations we have:
$ax ^ 2 + bx + c = mx + b
$
Rewriting we have:
$ax ^ 2 + (b-m) x + (c-b) = 0
$
We obtain a polynomial of second degree, therefore, the maximum number of solutions that we can obtain is 2.
Answer:
The greatest number of possible solutions to this system is:
c.2

7 0

3 years ago

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Look at the graph shown<br> Which equation best represents the line?

Brilliant_brown [7]

$y=\frac{11}{4}x +4$ is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

$x_1=0,y_1=-4,x_2=4, y_2=7$

General form of equation of a line is y = mx + c

where m is the slope and c is the y-intercept of the line.

<em>y-intercept is the point which line crosses at y-axis.</em>

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{7-(-4)}{4-0}$

$$m=\frac{11}{4}$

Equation of the line:

y = mx + c

$y=\frac{11}{4}x +4$

Hence $y=\frac{11}{4}x +4$ is the equation best represents the line.

5 0

3 years ago

A middle school counselor randomly sampled students about their favorite subjects. Suppose an 8th grade student from the school

NISA [10]

Answer: B

Step-by-step explanation:

68 divided by 204 gives you 0.33 so round to nearest tenth and and go to 0.31 and then convert to percent and you have 31%

7 0

3 years ago

Does anybody know this ???

Anna11 [10]

Answer:

-7x - 18

Step-by-step explanation:

-4x - 10 - 3x - 8 = - 7x - 18

8 0

3 years ago

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