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sergiy2304 [10]
3 years ago
8

Katerina is packing boxes of cookies to sell at the state fair. She has 2,528 cookies and puts 16 cookies into each box. How man

y boxes did Katerina pack?
Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

158 boxes

Step-by-step explanation:

dived 2528 by 16 you get 158

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Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
yaroslaw [1]

Answer:

The answer is 4z^2 + 7z

Step-by-step explanation:

7z + 4z^2 +6 - 6

So, just combine like term which is 6 - 6 = 0

So, the remaining is 4z^2 + 7z that cannot be simplified anymore

7 0
3 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -5 - 5 cos θ
Grace [21]
Y-axis symmetry=(r, theta)=(-r,theta)
-5-5cos(theta)=r
-r=5+5cos(theta)
no y-axis symmetry
x-axis symmetry=(r,theta)=(r,-theta)
cosine is an even function, so yes it is symmetric around x-axis
origin symmetry=(r,theta)=(-r,theta) or (r, theta+pi)
no, as there is no y-axis symmetry

6 0
3 years ago
PLZ HLP! A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest sq
nadezda [96]

The area of a circle is area = pi x r^2

The full area = 3.14 x 20^2 = 1256 square feet.

The corner forms a 90 degree angle so the dirt area is 3/4 of a full circle.

Answer = 1256 x 3/4 = 942 square feet

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2
Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

but the integrand is even, so this is really just

\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

Substitute x = 1/2 arccot(u/2), which transforms the integral to

\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du

There are lots of ways to compute this. What I did was to consider the complex contour integral

\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}

and it follows that

\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}

7 0
2 years ago
6.2×0.03= and tell me how you did it please ​
matrenka [14]

Answer:

0.186

Step-by-step explanation:

       6.2

<u>x    0.0</u><u>3</u>

           6

    1

       6.2

<u>x    0.0</u><u>3</u>     since 6*3=18, we have to carry the 1

        86

     1

       6.2

<u>x    0.0</u><u>3</u>

       186

       6.2

<u>x    0.</u><u>0</u><u>3</u>

        186

         0

       6.2

<u>x    0.</u><u>0</u><u>3</u>

       186

       00

       6.2

<u>x    </u><u>0</u><u>.03</u>

       186

       00

      0

       6.2

<u>x    </u><u>0</u><u>.03</u>

        186

+      00            add the partial products

<u>      0</u><u>0                   </u>

     00186

      6.2

<u>x    0.</u><u>03</u><u>     </u>                   count how many digits are after the decimal point      from each factor =3 and place in product

        186

+      00            

<u>      00                   </u>

     00.186=0.186

<em>answer=0.186</em>

8 0
3 years ago
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