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musickatia [10]

3 years ago

12

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the

1 answer:

sineoko [7]3 years ago

4 0

W/6=d

Because 30 is 6 times 5

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What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch?

son4ous [18]

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=7 \end{cases}\implies V=\pi (9)^2(7) \\\\\\ V=\pi (81)(7)\implies V=567\pi \implies V\approx 1781.28\implies \stackrel{\textit{rounded up}}{V=1781}$

7 0

3 years ago

Round 2593.6781 to nearest thousandths.

sveta [45]

Answer:

The answer is 2593.678

Step-by-step explanation:

7 0

2 years ago

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

3 0

2 years ago

Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the v

disa [49]

Answer:

Option A $V_B=19\ cm^3$

Step-by-step explanation:

The volume of a cone is:

$V_B = \pi\frac{hr ^ 2}{3}$

The volume of a cylinder is:

$V_A = \pi(r ^ 2)h$

Both figures have the same height h and the same radius r.

The volume of the cylinder $V_A = 18\pi\ cm ^ 3$

We want to find the volume of the cone.

Then, we find r and h:

$V_A = 18\pi = \pi(r ^ 2)h$

We simplify.

$V_A = 18 = (r ^ 2)h$

Then the product of $(r ^ 2)h = 18$ .

We substitute this in the cone formula and get:

$V_B =\frac{\pi}{3}(18)\\\\V_B = \frac{18}{3}\pi\\\\V_B=19\ cm^3$

8 0

2 years ago

Read 2 more answers

Solve each equation for y:

sammy [17]

Step-by-step explanation:

${y}^{2} - 1 = 80$

${y}^{2} = 81$

$y = ±9$

$\frac{y - 4}{4} = 1$

$y - 4 = 4$

$y = 8$

$\frac{10 - 63}{y} = 1$

$10 - 63 = y$

$- 53 = y$

3 0

2 years ago

Read 2 more answers