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sattari [20]
3 years ago
10

What is the rate of change for Y=-4v-1

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
4 0

Answer:

-4v

Step-by-step explanation: rate of change=slope

Daniel [21]3 years ago
3 0

Answer:

The rate of change for y = -4v - 1 is -4.

Step-by-step explanation:

The rate of change for y against v is -4.

Or the slope of a graph of y against v is -4.

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1)cot a/2 -tan a/2 = 2 cot a<br>2) cot b/2 + tan b/2= 2 cosec b<br> prove​
VladimirAG [237]
1)

LHS = cot(a/2) - tan(a/2)

= (1 - tan^2(a/2))/tan(a/2)

= (2-sec^2(a/2))/tan(a/2)

= 2cot(a/2) - cosec(a/2)sec(a/2)

= 2(1+cos(a))/sin(a) - 1/(cos(a/2)sin(a/2))

= 2 (1+cos(a))/sin(a) - 2/sin(a)) (product to sums)

= 2[(1+cos(a) -1)/sin(a)]

=2cot a

= RHS

2.

LHS = cot(b/2) + tan(b/2)

= [1 + tan^2(b/2)]/tan(b/2)

= sec^2(b/2)/tan(b/2)

= 1/sin(b/2)cos(b/2)

using product to sums

= 2/sin(b)

= 2cosec(b)

= RHS
8 0
3 years ago
b. If each square has a side length of 61 cm, write an expression for the surface area and another for the volume of the figure
Blababa [14]

Answer:

6*(61^2) and 61^3

Step-by-step explanation:

If the squares have a side length of 61 (assuming this is a cube) our surface area is 6*(61^2) because each side is a square and there are six sides.

As for the volume, we have 61^3.

Hope this was helpful.

~cloud

8 0
3 years ago
Determine whether each expression was simplified correctly.​
astra-53 [7]

Answer:

Only b is correctly simplified.

Step-by-step explanation:

3 0
3 years ago
Integrate ​G(x,y,z)equalsz over the parabolic cylinder yequalszsquared​, 0less than or equalsxless than or equals2​, 0less than
yKpoI14uk [10]

I gather you're supposed to compute the integral of G(x,y,z)=z over a surface S that is the part of the parabolic cylinder y=z^2 with 0\le x\le2 and 0\le z\le\frac{\sqrt{15}}2.

We can parameterize S by

\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k

with the given constraints on x and z. Take the normal vector to S to be

\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k

so that the surface element is

\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz

Then in the integral, we have

\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}

5 0
3 years ago
The dual bar chart shows the hair colour of boys and girls in a year group. What fraction of the red haired students are boys? G
Step2247 [10]

Answer:

\frac{3}{4}

Step-by-step explanation:

Total red haired students = 15+5 = 20

Boys = 15

<u><em>Fraction:</em></u>

=> \frac{15}{20}

<u><em>In simplest form:</em></u>

=> \frac{3}{4}

3 0
4 years ago
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