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Alecsey [184]
3 years ago
9

I NEED HELP WILL GIVE CRWON ... SHOW YOUR WORK...

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer:

(b) so the fish was at 14 feet and know the fish is at 6 feet

and sorry i do not understand (a)

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Find the x-intercepts for the parabola defined
Ulleksa [173]

Answer:

(- 2, 0 ), (1, 0 )

Step-by-step explanation:

Given

y = 2x² + 2x - 4

To find the x- intercepts let y = 0, that is

2x² + 2x - 4 = 0 ← divide through by 2

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Thus x- intercepts are (- 2, 0) and (1, 0)

5 0
3 years ago
Can someone please let me know if this is correct or not??
AURORKA [14]
Yes your answer is correct
3 0
3 years ago
16. The hood of Olivia's car is the shape of a trapezoid. The base bordering the
Ierofanga [76]

Answer:

Option G: 27 inches.

Step-by-step explanation:

When we have a trapezoid with bases:

B₁ and B₂, the median of the trapezoid can be calculated as:

M = (B₁ + B₂)/2

In this case, we know that the bases are:

B₁ = 30 in

B₂ = 24 in

Then the median is:

M = (30in + 24in)/2 = 54in/2 = 27in

The correct option is G.

5 0
2 years ago
F(x, y, z) = yzexzi + exzj + xyexzk,
Ghella [55]
\nabla f(x,y,z)=\mathbf F(x,y,z)\iff\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j+\dfrac{\partial f}{\partial z}\,\mathbf k=yze^{xz}\,\mathbf i+e^{xz}\,\mathbf j+xye^{xz}\,\mathbf k

\dfrac{\partial f}{\partial x}=yze^{xz}
\implies f(x,y,z)=\dfrac{yz}ze^{xz}+g(y,z)=ye^{xz}+g(y,z)

\dfrac{\partial f}{\partial y}=e^{xz}=e^{xz}+\dfrac{\partial g}{\partial y}
\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

\dfrac{\partial f}{\partial z}=xye^{xz}=xye^{xz}+\dfrac{\mathrm dh}{\mathrm dz}
\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C

f(x,y,z)=ye^{xz}+C

\mathbf r(t)=(t^2+5)\,\mathbf i+(t^2-1)\,\mathbf j+(t^2-5)\,\mathbf k
\implies\mathbf r(0)=5\,\mathbf i-\mathbf j-5\,\mathbf k
\implies\mathbf r(5)=30\,\mathbf i+24\,\mathbf j+20\,\mathbf k

By the gradient theorem, we have for any path \mathcal C originating at the point (5, -1, -5) and terminating at the point (30, 24, 20),

\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=f(\mathbf r(5))-f(\mathbf r(0))=f(30,24,20)-f(5,-1,-5)
\implies\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=24e^{600}+e^{-25}
4 0
3 years ago
You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch. What is the ratio of t
swat32

Answer:

<u>2 : 5</u> is the ratio of the amount of juice to the amount of ginger ale.

Step-by-step explanation:

Given:

You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch.

Now, to get the ratio of the amount of juice to the amount of ginger ale.

Amount of juice = 1\frac{1}{2}=\frac{3}{2} \ quarts.

Amount of ginger ale = 3\frac{3}{4}=\frac{15}{4} \ quarts.

So, to get the ratio of amount of juice to amount of ginger ale:

\frac{3}{2} :\frac{15}{4}

=\frac{\frac{3}{2}}{\frac{3}{4}}

=\frac{3}{2} \times \frac{4}{15}

=\frac{12}{30}

On simplifying it:

=\frac{2}{5}

=2:5.

Therefore, 2 : 5 is the ratio of the amount of juice to the amount of ginger ale.

3 0
3 years ago
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