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3 years ago

Please help and explain ANSWER ASAP!!!!

Mathematics

1 answer:

Setler79 [48]3 years ago

5 0

The fish is 2.25 ft above the water surface.

Step-by-step explanation:

Step 1: Given expression for height of the fish above the water surface, y = -16x² + 12x where x is time in seconds. Find height after 0.375 seconds

⇒ y = -16(0.375)² + 12 × 0.375 = -2.25 + 4.5 = 2.25 ft

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For what values of the variables are the following expressions defined? 5y+2

babymother [125]

Answer:

all possible y values

Step-by-step explanation:

5y + 2 is defined for all values of y.

3 0

3 years ago

Read 2 more answers

GEOMETRY- FIND POLYGON AREA

Dvinal [7]

Answer:

Step-by-step explanation:

The area of a regular polygon is

$A=\frac{1}{2}ap$ where a is the apothem and p is the perimeter. Perimeter is simple: just count the number of sides the polygon has and multiply it by 3 (the length of one side).

p = 3(9) is 27 inches for the perimeter.

We have what we need now to find the area:

$A=\frac{1}{2}(4.1)(27)$ and

$A=\frac{1}{2}( 110.7)$ so

A = 55.35 square inches

5 0

2 years ago

A 6 pound bag of oranges cost 6.78 What is the unit price?

oksano4ka [1.4K]

Answer:

$1.13

Step-by-step explanation:

Since 6 pound bag of oranges costs $6.78...

$\frac{6.78}{6}$

Now, let's divide 6.78 in to 6 to find our unit price.

$\frac{1.13}{1}$

Now we know 1 pound, (our unit price), costs...

$$1.13$

5 0

4 years ago

Can anyone help me ? I just need the numbers

Nimfa-mama [501]

Answer:

(-6, 0) and (0, 1.5)

Step-by-step explanation:

The equation of the line in pint slope form is expressed as;

y-y0= m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 1/4

(x0, y0) = (6,3)

Substitute into the formula;

y - 3 = 1/4(x-6)

4(y-3) = x - 6

4y - 12 = x-6

4y - x = -6+12

4y - x = 6

x = 4y - 6

To get the points to plot, we will find the x and y-intercept of the resulting expression.

For the x-intercept,

at y = 0

x = 4(0) - 6

x = -6

Hence the x-intercept is at (-6, 0)

For the y-intercept,

at x = 0

0 = 4y - 6

4y = 6

y = 6/4

y = 3/2

y = 1.5

Hence the y-intercept is at (0, 1.5)

Hence the required points to plot to get the required line are (-6, 0) and (0, 1.5)

7 0

3 years ago

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

3 years ago