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taurus [48]
3 years ago
13

88th term of the sequence 4,-1,-6

Mathematics
1 answer:
MArishka [77]3 years ago
4 0

Answer:

-431

Step-by-step explanation:

4-5=-1   -1-5= -6 common difference is -5 and start at 4 to get 88th term which is -431

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Write the conversion factor for converting meters to centimeters
posledela
Since we are converting meters to centimeters we are converting large to small.

Expect the answer to be a larger number.  Here are some example of large to small:
2 weeks (larger unit) = 14 days (smaller unit)   14 is larger than 2
4 days (larger unit )  = 96 hours (smaller unit)  96 is larger than 4
Since there are 100cm in a meter, when we change meters to cm, we need a bigger number.  The conversion factor is 100 and should be used as a multiplier.
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7 0
3 years ago
A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. A. 39
san4es73 [151]

Answer:

The answer to your question is        diameter  = 19.7 in

Step-by-step explanation:

Data

Circumference = 62 in

diameter = ?

Process

1.- Write the formula of Circumference, remember that circumference = perimeter.

    Perimeter = 2πr

2.- Equal the equation to the value given

                        2πr = 62

-Solve it for r

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-Result

                           r = 62/6.28

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3.- Find the diameter

             diameter = 2r

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4 0
3 years ago
Read 2 more answers
Find the volume of the solid.
dmitriy555 [2]

In Cartesian coordinates, the region (call it R) is the set

R = \left\{(x,y,z) ~:~ x\ge0 \text{ and } y\ge0 \text{ and } 2 \le z \le 4-x^2-y^2\right\}

In the plane z=2, we have

2 = 4 - x^2 - y^2 \implies x^2 + y^2 = 2 = \left(\sqrt2\right)^2

which is a circle with radius \sqrt2. Then we can better describe the solid by

R = \left\{(x,y,z) ~:~ 0 \le x \le \sqrt2 \text{ and } 0 \le y \le \sqrt{2 - x^2} \text{ and } 2 \le z \le 4 - x^2 - y^2 \right\}

so that the volume is

\displaystyle \iiint_R dV = \int_0^{\sqrt2} \int_0^{\sqrt{2-x^2}} \int_2^{4-x^2-y^2} dz \, dy \, dx

While doable, it's easier to compute the volume in cylindrical coordinates.

\begin{cases} x = r \cos(\theta) \\ y = r\sin(\theta) \\ z = \zeta \end{cases} \implies \begin{cases}x^2 + y^2 = r^2 \\ dV = r\,dr\,d\theta\,d\zeta\end{cases}

Then we can describe R in cylindrical coordinates by

R = \left\{(r,\theta,\zeta) ~:~ 0 \le r \le \sqrt2 \text{ and } 0 \le \theta \le\dfrac\pi2 \text{ and } 2 \le \zeta \le 4 - r^2\right\}

so that the volume is

\displaystyle \iiint_R dV = \int_0^{\pi/2} \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta \, dr \, d\theta \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta\,dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} r((4 - r^2) - 2) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} (2r-r^3) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \left(\left(\sqrt2\right)^2 - \frac{\left(\sqrt2\right)^4}4\right) = \boxed{\frac\pi2}

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3 0
3 years ago
Find m abc (2x) (5x+5)
Gemiola [76]
< ABD + > ABC = 180.....because these angles form a linear pair
2x + 5x + 5 = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/7
x = 25

< ABC = 5x + 5......5(25) + 5 = 130 <==
3 0
3 years ago
Read 2 more answers
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