Answer:
f(x) represents the vertical height of the cannon
Step-by-step explanation:
The given function is presented as follows;
f(x) = -0.05·(x² - 26·x - 120)
Given that 'x' represent the horizontal path of the cannon and the function describes the path of the cannon, we have that the vertical height reached by the cannon as it moves along the horizontal path is given as the function f(x)
Therefore, we have;
f(0) = -0.05·(0² - 26×0 - 120) = -0.05 × -120 = 6
f(0) = 6
The starting height of the cannon = 6
The maximum height reached by the cannon is given as follows;
f'(x) = d(-0.05·(x² - 26·x - 120))/dx = -0.05·d(x² - 26·x - 120)/dx = -0.05×(2·x - 26)
f'(x) = -0.05×(2·x - 26)
f'(x) = 0 At maximum height, therefore, we have;
-0.05×(2·x - 26) = 0
(2·x - 26) = 0
2·x = 26
x = 26/2 = 13
x = 13
f(13) = -0.05·(13² - 26×13 - 120) = 14.45
The maximum height = 14.45
Therefore;
f(x) = The vertical height of the cannon
The heights of a large population of ostriches are normally distributed. Which is the closest to the percentage of these heights that is within 3 standard deviations of the mean?
a. 95%
b. 99.7%
c. 0.3%
d. 5%
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that:
The heights of a large population of ostriches are normally distributed.
The percentage of these heights that is within 3 standard deviations of the mean
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question:
The height of a large population of ostriches is normally distributed.
So,
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
brainly.com/question/5440679
#SPJ2
Solve and write equation in Slope intercept
form (y=mxth) ! Label Slope and y intercept
1) -3x +y = 8
2) -2x + 3y = 1
3)5y +3X = 10
Answer:
Step-by-step explanation:
1. is y= 3 x +8
-3 x + y - 8= 0
y = 3x+ 8
2. is in the pictures
3.
3 X + 5 y - 10 = 0
Real solution:
y = 2 - (3 X)/5
Solution:
y = 2 - (3 X)/5
Integer solution:
X = 5 n, y = 2 - 3 n, n element Z
Solution for the variable y:
y = 1/5 (10 - 3 X)
if I have one broccoli and my teacher gives me two broccolis how many broccolis do I have
Answer:
Step-by-step explanation:
I'm sure of it i even used my calculatr... it 13
Find the median of the data set below:
3,5,7,10,10,4,7,5,8,10,6
Answer:
7
Step-by-step explanation:
First put them in order. I got 3, 4, 5, 5, 6, 7, 7, 8, 10, 10, 10. The middle is the sixth, because (1+11)/2 is 6. So the median is 7.
Please answer this!!! thanks
Answer:
48
Because 12x4 is 48 and 48/4=12
Whoever gets this correct gets brain, 5 stars and a thanks! An explanation of it would be amazing! Tysm!
It might take me a little while to respond!
What is 2(10) + 2(x – 4)
Can someone help me please
Answer:
Domain: -3,-2,0,2
Range: 2,-2,-3,-1,1
Step-by-step explanation:
Domain is the x values and the Range is the y values
If p : q = 2/3 : 3 and p : r = 3/4 : 1/2 , calculate the ratio p : q : r Giving your answer in its simplest form.
Answer:
Step-by-step explanation:
p:q = ⅔:3 = 2:9 = 6:27
p:r = ¾:½ = 3:2 = 6:4
p:q:r = 6:27:4
I need help. This is due today
Answer:
B- Max has 10$. He earns 25.75$ for every lawn that he mows.
D is also an answer.
Step-by-step explanation:
This equation is an example of the formula y=mx+b, where mx is the slope and b is the y intercept, the slope is a continuous thing where as the y- intercept is like a beginning point.
So, A is incorrect because it puts 25.75 as the y intercept when it should be the slope. C is wrong because that is not even the kind of equation we are working with, and E is a different equation. I think the only possible answers are B and D
y = 7x + 19
-21 x 3y = 57
Answer:
x= -2 y= -5
Step-by-step explanation:
I need help with my home work please
please answer 1-8 godbless
Answer:
1. A
2. D
3. B
4. B
5-6. B
7. D
8. D
Wich hotel costs the least per night ? :)
Answer:
answer b
step - by - step explanation
Hotel A. per night charge is 64 $Hotel B. per night charge is 60$ Hotel c. per night charge is 65$8n+12+(-9)-(-6n)}8n+12+(−9)−(−6n)
Answer
8 n-1(-6n)+3
Step-by-step explanation
Can someone help me pls
Answer:
The answer is No you cannot turn it into a circle
Point T bisects UV. Find UV if UT = 2 inches
Help me!!
Dakota saves about $4 every day. She had $7 before she started saving. Her total savings is more than $25. About how many days may Dakota have saved?
The answer to this question is 5 days
Answer:
5
Step-by-step explanation:
7+4=11
11+4=15
15+4=19
19+4=23
23+4=27
Can anyone find d-bar (the d with the line over it) and explain it to me? For this problem five trials are done at eight am and then twelve am. The eight am trials are 98.4, 98.6, 97.8, 97.1, and 97.5. The 12am ones are 98.9, 99, 97.9, 96.6, and 97.7. The correct answer is -0.14 but I can't get that answer.
Answer:
d-bar= ∑d/n= -0.7/ 5= -0.14
Step-by-step explanation:
Eight am 12 am difference (8:00am- 12:00 am)= d
98.4 98.9 (98.4-98.9=) -0.5
98.6 99 (98.6-99=) -0.4
97.8 97.9 (97.8-97.9=) - 0.1
97.1 96.6 (97.1-96.6=)+0.5
97.5 97.7 (97.5-97.7=)-0.2
∑ -0.7
d= difference between 8 am and 12 am
First we subtract the 12.00 am times from 8:00 am times.
Then we add all the differences to get the total difference ∑d.
∑d= -0.7= total of the difference between two times.
n= number of observations=5
Putting the values in the formula would give the answer.
d-bar= d`= ∑d/n= -0.7/ 5= -0.14
An airplane is flying on a bearing of 330 degrees at 450 mph. Find the component form of the velocity of the airplane.
Answer:
The component form of the velocity of the airplane is [tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Step-by-step explanation:
Let suppose that a bearing of 0 degrees corresponds with the [tex]+x[/tex] direction and that angle is measured counterclockwise. Besides, we must know both the magnitude of velocity ([tex]\|\vec v\|[/tex]), in miles per hour, and the direction of the airplane ([tex]\theta[/tex]), in sexagesimal degrees to construct the respective vector. The component form of the velocity of the airplane is equivalent to a vector in rectangular form with physical units, that is:
[tex]\vec v = \|\vec v\|\cdot (\cos \theta \,\hat{i}+\sin \theta\,\hat{j})[/tex] (1)
If we know that [tex]\|\vec v\| = 450\,\frac{mi}{h}[/tex] and [tex]\theta = 330^{\circ}[/tex], then the component form of the velocity of the airplane is:
[tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex]
The component form of the velocity of the airplane is [tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Desert recipe calls for 6 cups of cereal for every 4 cups of marshmallows if a baker makes a 25 cup batch of treats using the proportions of the recipe which statement is true
1. The baker uses 6 of cereal and 19 cups of marshmallows
2 The baker uses 10 cups of cereal and 15 cups of marshmallows
3. The baker uses 15 cups of cereal and 10 cups of marshmallows
4. The baker uses 19 types of cereal and 6 cups of marshmallows
Answer:
3
Step-by-step explanation:
The ratio cereal to marshmallow is 3:2 which is also the ratio in number 3. 15:10 can be simplified to 3:2.
what quadrilateral can you draw that has exactly one pair of parallel sides
Answer:
trapezoid
Step-by-step explanation:
soda bottles each
The machine can make
minute.
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (2,40) and (6,120) to find
the number of soda bottles the machine can make
each minute.
Number of Soda Bottles Made
200
160
120
Number of Soda Bottles
80
40
8
10
Time (minutes)
Answer:
20 Soda Bottles.
Step-by-step explanation:
I have done questions like this before.
Ilk defa buraya giriş yapıyorum sırf deneme için bir soru paylaşıyorum. 23*11= yukarıdaki soruyu yaparsanız sevinirim
Cevap:
253
Adım adım açıklama:
23 ve 11'in çarpımı;
_____2 ___ 3
___ * _ 1 ____1
_________
_____2____3
_ + _ 2_3
____________
__2__5____3
____________
Dolayısıyla 23 * 11'in çarpımı 253'tür.
Hesap makinesi problemi çözmekte zorlanırsa aynı sonuç.
Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes
Answer:
[tex]-x+4[/tex]
Step-by-step explanation:
Find the rule and complete the table
Answer:
In-33
out-58
rule, subtract 4
Hey! Could I get a lil bit of help? (10 points)
Which of the sets of ordered pairs represents a function? (5 points)
A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}
Group of answer choices
Only A
Only B
Both A and B
Neither A nor B
Answer:
Neither A nor B
Step-by-step explanation:
Neither set of order pairs represent a function, because none of the points have a correlating function throughout them.
Help me Ill give brainlist
Answer:
18π + 90
Step-by-step explanation:
The perimeter is the sum of quarter of the circumference and 2r , that is
P = 2πr + (45 + 45)
= 2 × π × 36 × [tex]\frac{1}{4}[/tex] + 90
= 2 × π × 9 + 90
= 18π + 90
The graph below shows how far a ship is traveling in a certain amount of time.
How far will the ship travel in 4 hours?
50 miles
100 miles
4 miles
75 miles
Answer:
100 miles
Step-by-step explanation:
Remark
All you need do is start at 4 hours on the y axis and go right until you hit a dot. When you do, go down until you hit a number on the x axis.
It helps if you mark up the graph.
Go right from 4
You hit a dot
Look down.
You should see 100. That's how far you go in 4 hours.
Note
This is an odd graph. Usually time is on the x axis.
What value for x makes the following sentence true?
x+ 4 = 3(x - 2)
'A 5
B 40
C 20
D3
Answer:
Value of x = 5
Step-by-step explanation:
Given:
x + 4 = 3(x - 2)
Find:
Value of x
Computation:
x + 4 = 3(x - 2)
⇒ x + 4 = 3x - 6
⇒ x = 3x -6 - 4
⇒ x - 3x = -10
⇒-2x = - 10
⇒ x = -10 / - 2
Value of x = 5