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3 years ago

(2.03)

2 answers:

6 0

The first incorrect step would be step number three since when solving Absolute-Value Equations, when you isolate the Absolute-Value bars and the terms inside of it, the next step should be to make two equations: one that equals the original number given on the right side of the equal sign and one that is the opposite of the number on the equal sign. For example, in this case, Step three should have turned out more like this:

|2x - 3| = 3

2x - 3 = 3 <u><em>AND</em></u> 2x - 3 = <u><em>-3</em></u>

ExtremeBDS [4]3 years ago

3 0

Step 3 is the frist incorrect step it should be: 2x-3=3 or 2x-3=-3

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last week shiras fruit stand sold 1 3/4 boxes of peaches down the road tommys fruit stand sold 2 1/2 times as many boxes of peac

Sedaia [141]

The answer is 4 3/8 boxes because 1 3/4 x 2 1/2 ＝ 4 3/8.

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2 years ago

the cost of a pencil is 25 cents more than the cost of an eraser. if the cost of 8 pencils and 10 erasers is 12.80 dollars, find

Dmitry_Shevchenko [17]

I hope this helps you

3 0

3 years ago

Employment data at a large company reveal that 74% of the workers are married, 42% are college graduates, and that 56% are marri

ValentinkaMS [17]

Answer:

(E) None of these above are true.

Step-by-step explanation:

Married = 74% or 0.74

College graduates = 42% or 0.42

pr(married | college graduates) = 0.56

(A) These events are pairwise disjoint. This is false. Pairwise disjoint are also known as mutually exclusive events. Here we can see that both events are occurring at same time.

(B) These events are independent events. This is also false.

(D) A worker is either married or a college graduate always. False

Here Probability(A or B) shall be 1

= Pr(A) + Pr(B) - Pr( A and B) = 0.74 + 0.42 - 0.56 * 0.42 = 0.9248

This is not equal to 1.

(E) None of these above are true. This is true.

8 0

3 years ago

a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

3 years ago

A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. the resulting cross se

Oxana [17]

The cylinder that is sliced by the plane which is not parallel to the base of the cylinder and intersects only at the lateral surface is called an ellipse.

<h3>What is the formation of an Ellipse in a Cylinder?</h3>

When a cylinder with a longitudinal axis (z) is sliced at an angle to the xy plane, an elliptical shape is created.

In a circle, every plane crosses a circular cylinder perpendicularly to its axis. A plane that is neither at right angles to the axis nor parallel to it, crosses the cylinder in an elliptical shape.

Learn more about an ellipse here:

brainly.com/question/26679189

4 0

1 year ago

Read 2 more answers