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iogann1982 [59]
3 years ago
7

please answer this question A bakery uses 300 pounds of flour to make 120 wedding cakes of the same size. At this rate how many

pounds of flour are needed to make 1 wedding cake?
Mathematics
1 answer:
saw5 [17]3 years ago
4 0

Answer:

0.4 pounds

Step-by-step explanation:

300 divided by 120= 0.4, meaning you need 0.4 pounds of flour for 1 cake

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Use the general slicing method to find the volume of the following solids. The solid whose base is the region bounded by the cur
Y_Kistochka [10]

Answer:

The volume is V=\frac{64}{15}

Step-by-step explanation:

The General Slicing Method is given by

<em>Suppose a solid object extends from x = a to x = b and the cross section of the solid perpendicular to the x-axis has an area given by a function A that is integrable on [a, b]. The volume of the solid is</em>

V=\int\limits^b_a {A(x)} \, dx

Because a typical cross section perpendicular to the x-axis is a square disk (according with the graph below), the area of a cross section is

The key observation is that the width is the distance between the upper bounding curve y = 2 - x^2 and the lower bounding curve y = x^2

The width of each square is given by

w=(2-x^2)-x^2=2-2x^2

This means that the area of the square cross section at the point x is

A(x)=(2-2x^2)^2

The intersection points of the two bounding curves satisfy 2 - x^2=x^2, which has solutions x = ±1.

2-x^2=x^2\\-2x^2=-2\\\frac{-2x^2}{-2}=\frac{-2}{-2}\\x^2=1\\\\x=\sqrt{1},\:x=-\sqrt{1}

Therefore, the cross sections lie between x = -1 and x = 1. Integrating the cross-sectional areas, the volume of the solid is

V=\int\limits^{1}_{-1} {(2-2x^2)^2} \, dx\\\\V=\int _{-1}^14-8x^2+4x^4dx\\\\V=\int _{-1}^14dx-\int _{-1}^18x^2dx+\int _{-1}^14x^4dx\\\\V=\left[4x\right]^1_{-1}-8\left[\frac{x^3}{3}\right]^1_{-1}+4\left[\frac{x^5}{5}\right]^1_{-1}\\\\V=8-\frac{16}{3}+\frac{8}{5}\\\\V=\frac{64}{15}

5 0
3 years ago
I need help with volumes of cones
irinina [24]

search up on google volume of a cone and type in your numbers and it will show you the answers

4 0
3 years ago
20 POINTSSS AND I WILL GIVE BRAINLIEST !!
inessss [21]
I think it’s Step 2 your welcome
7 0
2 years ago
In order to earn extra money during the summer , omar is babysitting . The amount of money depends on the number of hours he bab
luda_lava [24]
M is dependent and h is independent
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6 0
3 years ago
Please help me. I'm stupid.
Gwar [14]

Answer:

\displaystyle 36\:units

Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100

With this Pythagorean Triple, we know that our dimensions are correct. Now, to find the perimeter, just add up all the sides EXCEPT for the divider:

\displaystyle 2[10] + 2[8] = 20 + 16 = 36

I am joyous to assist you anytime.

3 0
3 years ago
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