How to increase 429 grams by 31%

What does the E stand for in a calculator

FromTheMoon [43]

Take a single digit number with a decimal (Two digits total), times ten to the power of whatever. E is used for very large or very small numbers and helps shrink the writing down. Ex. 1E+20 is 1.0 with the decimal moved to the right twenty spaces.

8 0

4 years ago

It is estimated that t-weeks into a semester, the average amount of sleep a college math student gets per day S(t) decreases at

goldenfox [79]

Answer:

s(15)= $\frac{-3}{2} e^{15^{2} } +9.6$

Step-by-step explanation:

Before to getting started ,we have to consider the function which represents sleep decline rate S'(t) = $-3te^{t^{2} } \\$

Since this function is interpreted in this case as a rate of change, we can deduce this funcion is the first derivative of the function of average amount of sleep (S(t)).

In order to find S(t), we will integrate S'(t)

$\int\limits^ {} -3t3e^{t^{2} } \, dx \\$

This case corresponds to intergration by substitution

Substituting u= $x^{2} \\$

Computting the differential of u

$\frac{du}{dt} =2tdt\\$

Now, let's go back to our integral and write it in terms of u, using both definition of u and its defferential.

$\int\limits^{}-3te^{u} \, \frac{1}{2t}du \\\\\int\limits^{}\frac{-3}{2} e^{u}du\\$

The integral of a exponential function is itself. So the result is:

$\frac{-3}{2} e^{u} +c$

Now substitute u back in:

$\frac{-3}{2} e^{t^{2} } +c$

This answer correspond to function of average amount of sleep.

We know that when the semester begins (t=0) , math students sleep an average of 8.1 hours per day so we will use this info in order to find the value of c.

$s(0)=\frac{-3}{2} e^{0^{2} } +c=8.1\\\\\frac{-3}{2} +c=8.1$

Solve this equation

c=8.1+ $\frac{3}{2}$

c=9.6

Replacing the value of c on S(t)

S(t)= $\frac{-3}{2} e^{t^{2} } +9.6$

Now, let's to find the average of amount of sleep when 15 weeks has elapsed since the start date of the semester.

s(15)= $\frac{-3}{2} e^{15^{2} } +9.6$

4 0

3 years ago

What is the height of the triangular base? Show your work.

emmainna [20.7K]

Answer:

Hope it helps :)

Step-by-step explanation:

The volume of a triangular prism shaped box is 2,400 cubic centimeters.

Base of the triangle = 16cm

Sides of the triangle = 17cm

Length of the box = 20cm

Triangular prism

A triangular prism is a three-sided prism made of a triangular base and a corresponding side.

A. To find the height of the base = 3 x the volume divided by the base area = 15cm.

B. The approximate amount of card board used to make the candy box:

Using the lateral prism as the sides will be:

Lateral area = Perimeter of triangle X height of the prism

Lateral area = (16 + 17 + 17) X 20

Lateral area = 50 X 20

Lateral area = 1,000 cm2

Therefore, the answer is 1000cm2.

3 0

3 years ago

Is this correct btw I put 1400

Oxana [17]

Answer: Yes

Step-by-step explanation: The answer of 1400 is correct.

What I did is I found the area of the figure assuming it was a rectangle, then I subtracted the corners that were removed.

1800 - 150 - 100 - 150 = 1400

5 0

3 years ago

Read 2 more answers

Which is the equation of a line that has a slope of -2/3 and passes through point (–3, –1)?

emmainna [20.7K]

Answer:

y = (-2/3)x-3

Step-by-step explanation:

Hello:

equation is the line is : y = ax+b a is a slope

y = (-2/3)x+b

passing through the point (−3;−1) : -1 =(-2/3)(-3)+b so : b = -3

y = (-2/3)x-3

second solution : you can verify (-3 ; -1) in the equation : y = (-2/3)x-3

3 0

3 years ago