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SashulF [63]
3 years ago
13

Miss Lopez has two kinds of flowers in her garden the ratio of lilies to daisies in the garden is 5/3 if there are 10 lilies wha

t is the total number of flowers in her garden
Mathematics
2 answers:
madreJ [45]3 years ago
5 0

Answer:

16 if you do process of elimination on the answers that are just silly

Step-by-step explanation:

pentagon [3]3 years ago
3 0

Answer:

16

Step-by-step explanation:

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Use integration by parts to find the integrals in Exercise.<br> ∫^3_0 3-x/3e^x dx.
Viefleur [7K]

Answer:

8.733046.

Step-by-step explanation:

We have been given a definite integral \int _0^3\:3-\frac{x}{3e^x}dx. We are asked to find the value of the given integral using integration by parts.

Using sum rule of integrals, we will get:

\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx

We will use Integration by parts formula to solve our given problem.

\int\ vdv=uv-\int\ vdu

Let u=x and v'=\frac{1}{e^x}.

Now, we need to find du and v using these values as shown below:

\frac{du}{dx}=\frac{d}{dx}(x)

\frac{du}{dx}=1

du=1dx

du=dx

v'=\frac{1}{e^x}

v=-\frac{1}{e^x}

Substituting our given values in integration by parts formula, we will get:

\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(x*(-\frac{1}{e^x})-\int _0^3(-\frac{1}{e^x})dx)

\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))

\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx=3x-\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))

Compute the boundaries:

3(3)-\frac{1}{3}(-\frac{3}{e^3}- (\frac{1}{e^3}))=9+\frac{4}{3e^3}=9.06638

3(0)-\frac{1}{3}(-\frac{0}{e^0}- (\frac{1}{e^0}))=0-(-\frac{1}{3})=\frac{1}{3}

9.06638-\frac{1}{3}=8.733046

Therefore, the value of the given integral would be 8.733046.

6 0
2 years ago
Rotate triangle ABC 90° clockwise around the origin given the vertices A(1,3)B(-1,4)C(2,5) what are the new vertices for triangl
fgiga [73]

Answer:

A' = (3,-1)

B' = (4,1)

C' = (5,-2)

Step-by-step explanation:

Given

A = (1,3)

B = (-1,4)

C = (2,5)

Rotation: 90 degrees clockwise

Required

Determine A'B'C'

When a point P (x,y) is rotated 90 degrees in the clockwise direction, the new coordinates is: P' (y, -x).

So, we have:

A = (1,3)

B = (-1,4)

C = (2,5)

Becomes

A' = (3,-1)

B' = (4,1)

C' = (5,-2)

3 0
3 years ago
If f(x)=x^2find f(2)-f(0)/2
alukav5142 [94]

Answer:

2

Step-by-step explanation:

On the picture above.

8 0
3 years ago
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms. y=(x-1)(4x+2)-4x^2
myrzilka [38]
Linear.  The 4x^2 will cancel out
4 0
3 years ago
Factor the expression: 14x + 21y – 7z
lozanna [386]

Answer:

7 ( 2x + 3y - z)

Step-by-step explanation:

To factor this expression, you need to find the GCF, which is 7.

7 ( 2x + 3y - z)

7 0
3 years ago
Read 2 more answers
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