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3 years ago

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5. Put the following fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2

1 answer:

AVprozaik [17]3 years ago

7 0

Answer:

4/7, 1/4,1/2, 2/3

Step-by-step explanation:

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Last year, a widget factory produced one million, twelve thousand, sixty widgets. What is this number written in standard form?

Elena-2011 [213]

1,012,060 is the number in standard form.

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3 years ago

Read 2 more answers

Chanel‌ ‌has‌ ‌two‌ ‌dogs,‌ ‌Mimi‌ ‌and‌ ‌Honey.‌ ‌

tresset_1 [31]

Start off calculating the total of the dog food Mimi and Honey eat together every day. Knowing 1/2 and 2/4 is the same it might help while adding up those numbers. That means they eat 3/4 + 2/4 = 1 1/4 can everyday. Multiply that by the total days, in this case 60, gives you 75 cans. You can only buy a 3-pack so dividing it by 3 gives you the total of packs she has to buy. That is in this case 25 packs. While every pack costs you $5 that means 25 packs will cost Chanel 25 x $5 = $125. Doing the same but for 29, 30 and 31 days instead of 60 should give you the answer to the last few questions.

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3 years ago

A toy rocket is a composite of a cylindrical body with a cone for a nose. The base of the cylinder and cone are the same size. C

inysia [295]

The volume of the entire rocket given the volumes of the cylindrical body and the cone nose is 117.23 in³.

<h3>What is the volume of the entire rocket?</h3>

The volume of the entire rocket is the sum of the volume of the cylinder and the volume of the cone.

Volume of the cylinder = πr²h

Where:

π = 3.14
r = radius 2
h= height = 12 - 4 = 8 inches

3.14 x 2² x 8 = 100.48 in³

Volume of the cone = 1/3 πr²h

1/3 x 2² x 3.14 x 4 = 16.75 in³

Volume of the rocket = 100.48 + 16.75 = 117.23 in³

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

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2 years ago

Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4) in sl

Wittaler [7]

Answer:

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

Step-by-step explanation:

The equation of a circle of radius $5$ centered at $(0,0)$ is:

$x^{2} + y^{2} = 5^{2}$ .

$x^{2} + y^{2} = 25$ .

Differentiate implicitly with respect to $x$ to find the slope of tangents to this circle.

$\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]$

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(y^{2}) = 0$ .

Apply the power rule and the chain rule. Treat $y$ as a function of $x$ , $f(x)$ .

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(f(x))^{2} = 0$ .

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}(2f(x)\cdot f^{\prime}(x)) = 0$ .

That is:

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}\left(2y \cdot \frac{dy}{dx}\right) = 0$ .

Solve this equation for $\displaystyle \frac{dy}{dx}$ :

$\displaystyle \frac{dy}{dx} = -\frac{x}{y}$ .

The slope of the tangent to this circle at point $(3, 4)$ will thus equal

$\displaystyle \frac{dy}{dx} = -\frac{3}{4}$ .

Apply the slope-point of a line in a cartesian plane:

$y - y_0 = m(x - x_0)$ , where

$m$ is the gradient of this line, and
$(x_0, y_0)$ are the coordinates of a point on that line.

For the tangent line in this question:

$\displaystyle m = -\frac{3}{4}$ ,
$(x_0, y_0) = (3, 4)$ .

The equation of this tangent line will thus be:

$\displaystyle y - 4 = -\frac{3}{4} (x - 3)$ .

That simplifies to

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

3 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is 3x-3y=543x−3y=54. Fully simplify your answer.

yaroslaw [1]

Your answer is 2x/y.

7 0

3 years ago