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Alisiya [41]
3 years ago
12

Ricardo’s recipe for four loaves of bread requires 2/3 cup of olive oil he only wants to make one loaf Ricardo makes a model to

find out how much Ol Ricardo‘s recipe for four loaves of bread requires 2/3 cup of olive oil he only wants to make one loaf Ricardo makes a model to find out how much our oil He needs to use he fold a piece of paper into three parts and shades two parts then you fold the paper into four parts and shades 1/4 of the shaded part Riccardo decides he needs 1/4 cup of olive oil is he right.
Mathematics
1 answer:
viktelen [127]3 years ago
5 0
He isn't right. He needs 1/6 cup of olive oil since 2/3 times 1/4 = 1/6
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What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 an
fgiga [73]

The steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.

Use V = Bh to find the volume of the prism.

Volume of the prism, V = (228)(6) = 1,368 feet cubed.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:

  • Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.
  • Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.

Parameters are:

Length of prism = 9 and one-half feet,

Width of prism = 24 feet,

Height of prism = 6 feet

Given the dimensions of the rectangular prism above, do the following:

Find the area of the base of the rectangular prism:

Area of base = (9 1/2)(24) = 228 cm²

Find the Volume of the prism using V = Bh :

Volume of the prism = (228)(6) = 1,368 feet cubed.

Therefore, the steps to be taken to determine the volume of the rectangular prism are:

  • Use A = bh to find the area of the base.
  • Use V = Bh to find the volume of the prism.
  • Volume of the prism, V = (228)(6) = 1,368 feet cubed.

Learn more about volume of the rectangular prism on:

brainly.com/question/12917973

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6 0
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Solve y ' ' + 4 y = 0 , y ( 0 ) = 2 , y ' ( 0 ) = 2 The resulting oscillation will have Amplitude: Period: If your solution is A
Vlad [161]

Answer:

y(x)=sin(2x)+2cos(2x)

Step-by-step explanation:

y''+4y=0

This is a homogeneous linear equation. So, assume a solution will be proportional to:

e^{\lambda x} \\\\for\hspace{3}some\hspace{3}constant\hspace{3}\lambda

Now, substitute y(x)=e^{\lambda x} into the differential equation:

\frac{d^2}{dx^2} (e^{\lambda x} ) +4e^{\lambda x} =0

Using the characteristic equation:

\lambda ^2 e^{\lambda x} + 4e^{\lambda x} =0

Factor out e^{\lambda x}

e^{\lambda x}(\lambda ^2 +4) =0

Where:

e^{\lambda x} \neq 0\\\\for\hspace{3}any\hspace{3}\lambda

Therefore the zeros must come from the polynomial:

\lambda^2+4 =0

Solving for \lambda:

\lambda =\pm2i

These roots give the next solutions:

y_1(x)=c_1 e^{2ix} \\\\and\\\\y_2(x)=c_2 e^{-2ix}

Where c_1 and c_2 are arbitrary constants. Now, the general solution is the sum of the previous solutions:

y(x)=c_1 e^{2ix} +c_2 e^{-2ix}

Using Euler's identity:

e^{\alpha +i\beta} =e^{\alpha} cos(\beta)+ie^{\alpha} sin(\beta)

y(x)=c_1 (cos(2x)+isin(2x))+c_2(cos(2x)-isin(2x))\\\\Regroup\\\\y(x)=(c_1+c_2)cos(2x) +i(c_1-c_2)sin(2x)\\

Redefine:

i(c_1-c_2)=c_1\\\\c_1+c_2=c_2

Since these are arbitrary constants

y(x)=c_1sin(2x)+c_2cos(2x)

Now, let's find its derivative in order to find c_1 and c_2

y'(x)=2c_1 cos(2x)-2c_2sin(2x)

Evaluating    y(0)=2 :

y(0)=2=c_1sin(0)+c_2cos(0)\\\\2=c_2

Evaluating     y'(0)=2 :

y'(0)=2=2c_1cos(0)-2c_2sin(0)\\\\2=2c_1\\\\c_1=1

Finally, the solution is given by:

y(x)=sin(2x)+2cos(2x)

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3 years ago
Describe the solutions of 2-5&gt;n in words
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2-5\ \textgreater \ n \ \textgreater \  Switch\;sides \ \textgreater \  n\ \textless \ 2-5 \ \textgreater \  Simplify \ \textgreater \  2-5 \ \textgreater \  -3

n\ \textless \ -3

Hope this helps!
5 0
3 years ago
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