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marusya05 [52]
2 years ago
9

A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
7 0

Answer is<em> </em><em><u>3t²-6t</u></em>

<h3>Step-by-step Explanation:-</h3>

s(t) =  {t}^{3} - 3 {t}^{2} + 8

Now we need to find velocity. The velocity is the first derivative of position, so let's find the derivative of s(t) :-

s'(t) = v(t) = 3 {t}^{3 - 1} - 3 \times 2 {t}^{2 - 1}

So,

v(t) = 3 {t}^{2} - 6t

Therefore, <u>v(t) = 3t²-6t</u>

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soldier1979 [14.2K]

pH = f(x) = -log₁₀x

1. Graphs

I used Excel to calculate the pH values and draw the graphs (see the Figure).

f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.

The points at which pH = 0 and pH = 1 are indicated by the large red dots.

2. x = 0.5

When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.

3. Transformations

(a) ƒ(x) = -log(x) + 1

This function has no y-intercept, because log(0) is undefined.

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This function has a y-intercept at (0,0).

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3 0
3 years ago
How to find slope intercept form for perpendicular lines
Helga [31]
To find the slope intercept form of a line perpendicular to a given equation, the first thing you need to do is to find the slope of the perpendicular line. Because lines perpendicular to one another are always have a slope that is the negative reciprocal of them, the slope of the line perpendicular to y=x would be -1 (since the slope of y=x is 1). Then, since the perpendicular line passes through the point (5, -3), you would plug in the values of the x and y into the equation
y=-1x+b to get -3=-1(5)+b.

When you simplify, solve for b to get b=2. Now that you have your slope (m=-1) and your y-intercept (b=2), you can conclude that your perpendicular equation would be y=-x+2.
3 0
3 years ago
Which is equivalent to (10)^(3/4)x?
ivann1987 [24]

Answer:

Option B is correct.

Step-by-step explanation:

10^{(3/4)x}

We need to write the above equation in square root form.

We know that 1/4 = \sqrt[4]{x}

So, 10^{(3/4)x} can be written as:

(\sqrt[4]{10})^{3x}

Option B is correct.

8 0
4 years ago
Read 2 more answers
Plz show work and solve quick please need help!!!!!
Simora [160]
Surface area is just the area of all these 4 triangles plus the rectangle.

First we can find the area of the rectangle.

\sf A=lw

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.

\sf A=(56)(27)

\sf A=1512cm^2

The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

\sf 82.8-28=54.8\? cm

Calculate the area:

\sf A=\dfrac{1}{2}bh

\sf A=\dfrac{1}{2}(27)(54.8)

\sf A=739.8\?cm^2

We have two of these triangles.

\sf 739.8\times 2=1479.6\? cm^2

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

\sf 81.2-27=54.2\?cm

Now find the area:

\sf A=\dfrac{1}{2}bh

\sf A=\dfrac{1}{2}(56)(54.2)

\sf A=1517.6\? cm^2

We have two of these triangles.

\sf 1517.6\times 2=3035.2\?cm^2

Add all the areas together:

\sf 1512+1479.6+3035.2=\boxed{\sf 6026.80\? cm^2}
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4 years ago
The 80 eighth graders took a trip to Washington DC. The boys numbered 16 fewer than twice the number of girls. How many of the e
SpyIntel [72]

Answer:

32

Step-by-step explanation:

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4 0
3 years ago
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