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Stella [2.4K]
3 years ago
11

Graph g(x)=|x−4|+3.\

Mathematics
1 answer:
Anika [276]3 years ago
6 0

I insert an image graphing the function.

<h3>Function: </h3>

\boxed{ \boxed{g(x) \:  =  \:  |x \:  -  \: 4|  \:  +  \: 3}}

<h3><em><u>MissSpanish</u></em></h3>

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a number is 3 1/3 greater than another. If the sum of the numbers is doubled, the result is 19 1/2. What is the smaller number
zimovet [89]

Answer:

77/24

The answer for this question is 77/24                                                                                                                                                                                    

5 0
3 years ago
Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^3, y=1, and the y axis whose cross se
vodomira [7]

The region in question is the set

R = \left\{ (x, y) : 0 \le x \le 1 \text{ and } x^3 \le y \le 1 \right\}

or equivalently,

R = \left\{ (x, y) : 0 \le y \le 1 \text{ and } 0 \le x \le \sqrt[3]{y} \right\}

Cross sections are taken perpendicular to the y-axis, which means each section has a base length equal to the horizontal distance between the curve y = x³ and the line x = 0 (the y-axis). This horizontal distance is given by

y = x³   ⇒   x = ∛y

so that each triangular cross section has side length ∛y.

The area of an equilateral triangle with side length s is √3/4 s², so each cross section contributes an infinitesimal area of √3/4 ∛(y²).

Then the volume of this solid is

\displaystyle \frac{\sqrt3}4 \int_0^1 \sqrt[3]{y^2} \, dy = \frac{\sqrt3}4 \int_0^1 y^{2/3} \, dy = \frac{\sqrt3}4\cdot\frac35 y^{5/3} \bigg|_0^1 = \boxed{\frac{3\sqrt3}{20}}

I've attached some sketches of the solid with 16 and 64 such cross sections to give an idea of what this solid looks like.

3 0
2 years ago
Need HELP!<br>........m​
Yuki888 [10]

Answer:

7/8

Step-by-step explanation:

turn 1/4 denominator into 8 and by doing that, u multiply by 2.

whatever you do to the bottom, u do to the top. so 1/4= 2/8

5/8+2/8= 7/8

5 0
3 years ago
Read 2 more answers
If p is inversely proportional to the square of q, and p is 30 when q is 10 determine p when q is equal to 5
Vinil7 [7]

Answer:

The value of p = 120 when q = 5

Step-by-step explanation:

We know that if y varies inversely with x, we get the equation

y ∝ 1/x

y = k/x

k = yx

where 'k' is called the constant of proportionality.

In our case,

If p is inversely proportional to the square of q, then

p ∝ 1/q²

p = k/q²

k = pq²

As p is 30 when q is 10, so

substituting p = 30 and q = 10

k = (30) (10)²

k = (30)(100)

k = 3000

Now,

Determining the value of p when q = 5

Using the equation

p = k/q²

now substituting k = 3000 and q = 5

p =  3000 / (5)²

p = 3000/25

p = 120

Therefore, the value of p = 120 when q = 5

4 0
3 years ago
Tammy is testing the cellphone service in a certain area for a cellphone company. The signal during the test can be modeled by s
Marat540 [252]

Answer:

4.71

Step-by-step explanation:

3* pi = 9.42

9.42/2 = 4.71

7 0
3 years ago
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