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trasher [3.6K]
3 years ago
11

Given the Function:

Mathematics
2 answers:
KatRina [158]3 years ago
8 0
Okay e^3 is 20.08553692 x -2 = 4.017107385
maybe you had your calculator on the wrong mode or entered it wrong


sergey [27]3 years ago
5 0
F(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855

now we have
-2 times 20.0855=-40.1711

answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)
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A flying cannonball’s height is described by formula y=−16t^2+300t. Find the highest point of its trajectory. In how many second
Yakvenalex [24]
<span>Highest point = 1406.25 Number of seconds = 9.375 We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375 So let's calculate the height at t = 9.375. y = -16t^2 + 300t y = -16(9.375)^2 + 300(9.375) y = -16(87.890625) + 300(9.375) y = -1406.25 + 2812.5 y = 1406.25 So the highest point will be 1406.25 after 9.375 seconds. Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.' y = -16t^2 + 300t y = -16(9.375 + e)^2 + 300(9.375 + e) y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e) y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e y = 1406.25 - 16e^2 Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.</span>
4 0
3 years ago
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height
Lady_Fox [76]

Problem

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.

By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent. ​

Solution

the volume of a cylinder is given by:

V=\pi r^2h

We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:

V=\pi(1.15r)^2\cdot(1.15h)=1.15^2\cdot1.15\cdot\pi\cdot r^2\cdot h=1.52\pi r^2h

And the new volume would increase about 52%

5 0
1 year ago
The slope that goes through the points (3,-4) and (-2,6)​
kicyunya [14]

Answer:

slope =  -2

Step-by-step explanation:

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         = \frac{6-[-4]}{-2-3}\\\\= \frac{6+4}{-2-3}\\\\= \frac{10}{-5}\\\\= -2

7 0
3 years ago
Factorise : x^2+x-72 Step by Step​
Ivan

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

f(x) = x^2 + x - 72

     = x^2 - 8x + 9x - 72

     = (x^2 - 8x) + (9x - 72)

     = x(x - 8) + 9(x - 8)

     = (x + 9)(x - 8)

4 0
3 years ago
Read 2 more answers
What is 4/7x + 5/14x = 39 ?
Sladkaya [172]

Answer:

yes

Step-by-step explanation:

if you break it down on paper ( which btw i get why you didnt want to do it) you get 39

5 0
3 years ago
Read 2 more answers
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