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3 years ago

Cheryl has a 14-foot pole that she wants to cut into 4 equal pieces to help support her tomato plants.

Mathematics

2 answers:

Vikki [24]3 years ago

7 0

B 3.5 divide 14 and 4 to get 3.5.

Serggg [28]3 years ago

5 0

The answer would be B. 3.5 ft

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5/8 divide by 1/4 simplest form

katrin [286]

(5/8):(1/4)= 5/8 • 4= 20/8=5/2 = 2 and 1/2

6 0

3 years ago

Read 2 more answers

12 more than the quotient of 54 and 9

Tema [17]

Answer:

Step-by-step explanation:

54/9 + 12

6 + 12

= 18

6 0

3 years ago

Hey there I need some assistance need on this problem. What do I mean by checkpoints and how am I supposed to find the y-interce

MakcuM [25]

Slope Formula: y2 - y1 / x2 - x1

(m and slope represent the same quantity)

m = 1 - - 5 / -4 - 0

m = 1 + 5 / -4

m = 6 / -4

m = -3/2

Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).

y = -3/2x + b

1 = -3/2(-4) + b

1 = 6 + b

b = -5

In point form, the y-intercept is (0, -5).

Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.

Equation: y = -3/2 x - 5

To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.

-14 = -3/2(-6) - 5

-14 = 9 - 5

-14 = 4

-14 does not equal 4, therefore the point is NOT on the line.

Hope this helps!

6 0

3 years ago

by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .

konstantin123 [22]

Answer:

$\frac{1}{44} \approx0.0227\hspace{3}units$

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

$D_uf(x,y,z)=\nabla f\bullet u$

$\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector$

The gradient of f is:

$\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle$

The unit vector can be found as:

$u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle$

The directional derivative at the point is:

$D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}$

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

$\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units$

6 0

3 years ago

A film screening at a local film club costs $5 per ticket for members and $10 per ticket for non-members. The theater sold 300 t

Otrada [13]

5x+10y=2400
Let
Y=300-x

5x+10(300-x)=2400
Solve for x
X=120 members

Y=300-120=180 nonmembers

7 0

3 years ago