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Eva8 [605]
3 years ago
14

PLEASE ANSWER I WILL GIVE 30 POINTS!

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Answer:

So the correct answer is"none of the above".

Step-by-step explanation:

z+(z+6)=z+z+6=2z+6. \\  \\  (z+z)+(z+6)=z+z+z+6=3z+6. \\  \\ (z+6)+6=z+12 \\  \\

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The dot plot above identifies the number of pets living with each of 20 families in an apartment building. What fraction of the
ludmilkaskok [199]

Step-by-step explanation:

refer the above attachment

5 0
2 years ago
What is the area in square feet of the part of the floor that is not covered by the rug
ohaa [14]
Can you please add a picture of the problem or type all the measurements and information? 
5 0
4 years ago
Given that ABCD is a rhombus, what is the value of x?
Sphinxa [80]

Answer:

x is 29

Step-by-step explanation:

In a rhombus diagonals bisect perpendicularly.

let the centre point of the rhombus be O.

By seeing the diagram we can say that Angle DBC is congruent to angle ADB.

We can say they are congruent because they are symmetric about the diagonals and also by the principle of parallel lines.

Also ADB is a right angled triangle so ,

x+(3x-26)=90

4x=116\\ x=29

Hence the value of x is 29.

3 0
3 years ago
Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th
RSB [31]

Answer:

The volume of the solid is:

\displaystyle\frac{19\pi}{6}

Step-by-step explanation:

See the graph of the region attached.

To find the intersection between the line and the parabola we set the equation equal to each other, and solve that quadratic equation by factorization:

x^2=9-8x\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,x=1

Since the region is the one for x\ge 0 then the intersection we are interested on is x=1 as it can also be seen in the graph.

Then we set the integral using shell method for revolving about the y-axis:

\displaystyle\int_a^b 2\pi\,x\,h(x)\,dx

Where h(x) is the height of the shell which here is the distance between the parabola and the line, so 8x-9-x^2 (since the line is on the top we subtract from it the parabola)

Then the integral becomes:

\displaystyle\int_0^1 2\pi\,x\,(8x-9-x^2)\,dx

Notice the limits of the integral are the x-axis (x=0) and the intersection of the parabola and the line that we found before (x=1)

Now, solving the integral:

Start by factoring the 2\pi and distributing the x:

=\displaystyle2\pi \int_0^19x-8x^2-x^3dx

Then use the basic rule to integrate:

=\displaystyle2\pi \left[\frac{9x^2}{2}-\frac{8x^2}{3}-\frac{x^4}{4}\right|_0^1

Then evaluate the antiderivative in the limits and subtract:

=\displaystyle2\pi\left[\frac{9}{2}-\frac{8}{3}-\frac{1}{4}-0\right]=\frac{19\pi}{6}

So the volume of the solid is \displaystyle\frac{19\pi}{6}

4 0
3 years ago
Michelle is on a road trip with her family and forgot her charger. At the start of the trip, her phone was at 100%. They are dri
Bumek [7]

Answer:

55 ≤ x ≤100

Step-by-step explanation:

Given the battery life equation:  y = -10x +100 where x is hours driving

As we know that the maximum value of y = 100% when x= 0

<=> y ≤100

They are driving from Dallas to San Antonio which is a 4.5-hour drive.

=> x = 4.5 so we substitute x into the equation, we have:

y = -10*4.5 +100

<=> y = -45 + 100 = 55

Hence, the range of this situation is:

55 ≤ x ≤100

Hope it will find you well.

8 0
3 years ago
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