Answer:
See bolded answers
Step-by-step explanation:
Since 1=100%, then 1.15=115%, meaning x increased by 15% is correct
Since 1=100%, then 0.15=15%, meaning 15% of x is correct
Since 1=100%, then 0.85=85%, meaning x decreased by 15% is correct
You stand 20 ft from a bottle rocket on the ground and watch it as it takes off vertically into the air at a rate of 18 ft/sec. Find the rate at which the angle of elevation from the point on the ground at you feet and the rocket changes when the rocket is 40 ft in the air. At the moment the rocket is 40 ft in the air, the angle of elevation is changing at a rate of rad/se.
Answer:
9/50 rad/sec
Step-by-step explanation:
let the angle be represented as ∅
distance form bottle rocket on the ground = 20 ft
height of rocket = 40 ft
solution
first we differentiate w.r.t.time
= sec²(∅)*(d(∅)/dt))=(1/20)*dh/dt --------- ( 1 )
= d(∅)/dt = (1/20)cos²(∅)* (dh/dt) ------- ( 2 )
note : 1/sec(∅) =cos(∅)
therefore ; dh/dt = 18 ft/sec
applying Pythagoras theorem
Tan ∅ = 40 / 20
h^2( hypotenuse ) = a^2( height ) + b^2 ( distance from bottle rocket )
h = √ 40^2 + 20^2 = √ 2000
also cos ( ∅ ) = b / h = 20 / √ 2000
hence cos²∅ = 1/5
Back to equation 2
d(∅)/dt=(1/20)×(1/5)×(18)
= 18/100 = 9/50 ( changing rate of angle of elevation )
PLEASE HELPPPP
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
O
1
2
3
4
y
6
14
22
30
38
Answer: y =
Submit Answer
Answer:
yo done so easy
Step-by-step explanation:
Which is the best description for the graph?
O The graph is increasing everywhere.
O The graph is decreasing everywhere.
O The graph is increasing, then decreasing.
O The graph is decreasing, then increasing.
What is the y-intercept of the parabola defined by y=−2x2+6x−8 and what is the equation of the axis of symmetry?
Answer:
y-intercept = (0, 8)
axis of symmetry= -b/2a
Step-by-step explanation:
Also when you want something to be squared use this symbol ^
I NEED HELP PLZ ITS FOR MY FINAL
geometry :
find the measure of the exterior angle
Answer:
45
Step-by-step explanation:
i believe its 45 or 55
Answer:
92°
Step-by-step explanation:
(2x - 2)° = x ° + 45°
(2x - 2 - x)° = 45°
(x - 2)° = 45°
x - 2 = 45
x = 45 + 2
x = 47
(2x - 2)° = (2*47 - 2)° = (94 - 2)* = 92°
A sample of 29 boxes of cereal has a sample standard deviation of 0.81 ounces. Construct a 95% confidence interval to estimate the true standard deviation of the filling process for the boxes of cereal.
a. ( 0.427,1.144)
b. (0.515,1.105)
c. (0.726,0.726)
Answer:
The 95% confidence interval is [tex]0.6428 < \sigma < 1.0954[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 29
The sample standard deviation is [tex]s = 0.81[/tex]
Generally the 95% confidence interval to estimate the true standard deviation is mathematically represented as
[tex]\sqrt{\frac{(n- 1)s^2 }{ X^2_( \frac{\alpha }{2 } , n-1)} } < \sigma < \sqrt{\frac{(n- 1)s^2 }{ X^2_(1- \frac{\alpha }{2 } , n-1)} }[/tex]
Generally from the chi -distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 29 - 1 = 28[/tex] is
[tex]X^2 _{\frac{\alpha }{2} , 28 } =44.46079184[/tex]
Generally from the chi -distribution table the critical value of [tex]1 - \frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 29 - 1 = 28[/tex] is
[tex]X^2 _{(1 - \frac{\alpha }{2}) , 28 } = 15.30786055[/tex]
So
[tex]\sqrt{\frac{(29- 1)0.81^2 }{ 44.46079184 } } < \sigma < \sqrt{\frac{(29- 1)0.81^2 }{15.315.307860551 }[/tex]
=> [tex]0.6428 < \sigma < 1.0954[/tex]
What is the answer to the following?
1. 8/9 divide by 2/3
2. 4 divided by 3/4
3. 2 1/2 divided by 3/4
4. 4/9 divided by 5 1/3
5. 7/8 divided by 14
i would go with either a or b
I NEED HELP ASAP PLEASE
Order the numbers from least to greatest.
-5 1/2
-5.2
-5
-5/2
5.5
Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not.
Answer:
The student is incorrect because I I or absolute value would make the -9 to positive 9.
Step-by-step explanation:
-9<4
on a numberline
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
but the absolute value of -9 (or) |–9|
is actually positive 9
9>4
on a number line
4 5 6 7 8 9
w pewnym trapezie o wysokości 6cm jedna z podstaw ma długość 9cm ,a druga jest od niej o 2cm krótsza . Pole tego trapezu wynosi:
Odpowiedź:
48 cm
Wyjaśnienie krok po kroku:
Jeśli się uwzględni:
Wysokość trapezu = 6 cm
Długość podstaw:
Podstawa 1 = a = 9 cm
Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm
Uaing relacji:
Powierzchnia trapezu = 1/2 (a + b) * h
Powierzchnia trapezu = 0,5 (9 + 7) * 6
Powierzchnia trapezu = 0,5 (16) * 6
Powierzchnia trapezu = 8 * 6
Powierzchnia trapezu = 48 cm
Let g (2) = 22 – 5 and h (2) = 22 +1.
Find (g+h) (2)
Answer:
23 + 17 = 40 :)
Use x for the unknown number.
Twice an unknown number added to 48 is six times the same unknown number.
Answer:
2x+48=6x
Step-by-step explanation:
Which statement about these triangles is true?
Answer:
It's the last one
I hoped that helped
What is the constant in this expression? X/5 - 9
Answer:
-9
Step-by-step explanation:
the constant is a single number
Need answerrrrrrrrrrrrr fast
Solve – 4y – 10 = 4(y - 3)
Answer:
y= 1/4
Step-by-step explanation:
Answer:
y=-7/8
Step-by-step explanation:
-4y-10=4y-3
add 10 on both sides
-4y=4y+7
subtract the four on the right from both sides
-8y=7
divide -8 on both sides
answer: -7/8
what are all values of x for which the series shown converges?
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]
We can write this as:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]
Then we have the inequality
[tex]1 > (x - 2)/3[/tex]
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
ASAP PLZ
Which of the following is a conditional statement?
I will eat anything that is dipped in chocolate.
Chocolate can be white or brown.
I like chocolate.
Chocolate chip cookies are the best kind.
Answer:
im pretty sure its the first
Step-by-step explanation:
Solve the following quadratic equation.
(x - 16)2 = 256 The 2 is the exponent so please don't misunderstand it lol, thank you for who ever helps me.
A. x = 30 and x = 8
B. x = -30 and x = -8
C. x = -32 and x = 0
D. x = 32 and x = 0
Answer:
D. x = 32 and x = 0
Step-by-step explanation:
You can solve it a multitude of ways one of the easiest ways for me was the quadratic formula.
Solve the equation.
-5r-1=7r+5
Answer:
r=-1/2
Step-by-step explanation:
(-5*-1/2=2.5)( 2.5-1=1.5) (7x -1/2= -3.5)-3.5+5 =1.5
question is in the picture pls help me. much appreciated
A and B are independent events.
PA) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
B. 0.6
O c.0.4
D. Not enough information
Answer:
not enough information
Answer:
It's 0.6
Step-by-step explanation:
I need help with my math homework
Answer:
See below, sorry for taking so long
Step-by-step explanation:
1.
A. Slope is rise over run or y2 - y1 divided by x2 - x1
We have (-5, 1) and (-3, 7)
7 - 1 / -3 - (-5)
6 / -3 + 5
6 / 2 = 3
Slope = 3
B. So point slope form is y - y1 = m(x - x1)
We know the slope so:
y - 1 = 3(x - (-5))
C. Using the point slope we can move things around to get slope-intercept:
y - 1 = 3(x + 5)
y - 1 = 3x + 15
y - 1 + 1 = 3x + 15 + 1
y = 3x + 16
D. Standard form is Ax + By = C:
y = 3x + 16
y - y = 3x + 16 - y
0 = 3x + 16 - y
0 - 16 = 3x + 16 - y - 16
-16 = 3x - y
3x - y = -16
What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for 7. Recall the
formula SA-4x7
Answer:
Option (3)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area of a sphere = 4πr²
Here 'r' = Radius of a sphere
Since, r = 9 units and π = 3.14
Surface area of the sphere = 4(3.14)(9)²
= 1017.36 square ²units
Therefore, Option (3) will be the correct option.
Answer:
c
Step-by-step explanation:
on edge
Please help!!! I need help
Answer:
Step-by-step explanation:
What the hell is that oh no I am not doing that
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x
John runs a computer software store. He counted 122 people who walked by his store in a day, 60 of whom came into the stores. Of the 60, only 23 bought something in
the store. Estimate the probability that a person who walks by the store will enter the store?
Answer:
unlikely
Step-by-step explanation:
60/122
60 ÷122=0.49
0.49 × 100 =49
49% chance
answer is unlikely
30 is 2/3 of what number
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
Enuncia 5 vectores que pertenecen a un mismo sub espacio
Answer:
what?
Step-by-step explanation: