4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no
Answer:
Step-by-step explanation:
Given function is h(t) = -16t² + 1500
a). For h(t) = 1000 feet,
1000 = -16t² + 1500
1000 - 1500 = -16t² + 1500 - 1500
-500 = -16t²
t² = [tex]\frac{500}{16}[/tex]
t = [tex]\sqrt{31.25}[/tex]
t = 5.59 sec
b). For h(t) = 940 feet,
940 = -16t² + 1500
940 - 1500 = -16t² + 1500 - 1500
-16t² = -560
t² = [tex]\frac{-560}{-16}[/tex]
t = [tex]\sqrt{35}[/tex]
t = 5.92 sec
c). For domain and range of the function,
When the jumper comes down to the ground,
h = 0
0 =-16t² + 1500
t² = [tex]\frac{1500}{16}[/tex]
t = [tex]\sqrt{93.75}[/tex]
t = 9.68 sec
Since, x-values on the graph vary from x = 0 to x = 9.68,
Domain : [0, 9.68]
Vertex of the quadratic function: (0, 1500)
Since, coefficient of the highest degree term is negative, parabola will open downwards.
Therefore, y-values of the function will vary in the interval y = 0 to y = 1500
Range: [0, 1500]
the ratio 60 miles per hour is an example of a ______because it has two measurements having different units of measure
Answers:
1.Annex
2.Rate
3.Unit rate
4.Least common multiple
Answer:
3. Unit Rate
Step-by-step explanation:
The answer is Unit Rate because it is describing two units of measurements compared to one another.
The tank for a car holds 20 gallons of gas. The gasoline gauge shows the tank is 1/8 full. How much gas is still in the tank?
Answer:
3/4 of a tank =3/4(13) gal
=39/4 almost 10 gal
At a certain bakery, the price of each doughnut is $1.50. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of D are 2.6 doughnuts and 3.6 (doughnuts)2 , respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P ? 1.5(3.6) 1.5(3.6) A 1.53.6−−−√ 1.53.6 B 1.5(3.6)−−−−−−√ 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6−−−√ 1.52.6 E
Answer: C ( square root of 1.5 x 3.6)
Step-by-step explanation:
The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.
The standard deviation expression of the distribution P is √(1.50 × 3.6)
Given the Parameters :
Expected value = 2.6Variance = 3.6 Price per doughnut = $1.50The price for the variance of the distribution can be written as :
Price per doughnut × Variance Variance = $1.50 × 3.6The standard deviation of the distribution D is related to the variance by the formular :
Standard deviation = √variance Standard deviation = √(1.50 × 3.6)Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)
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^DEF and ^RSQ are shown in the diagram below
Based on the information provided in the diagram, what is mZQ in degrees?
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
Which of the expressions are equivalent to the one below? Check all that
apply.
16. (1 + 3)
A. (16. 1) + (3.16)
B. (3 + 1). 16
D C. (16 + 3). 1
D. (161) + (163)
so A & B = 64 .... so yeah right A & B are the correct answers
by the way i multiplied for the "."
I NEED HELP WITH THIS MATH PROBLEM!!
Answer:
x equal 20 Step-by-step explanation:
H equal 58 I equal 71 J equal 51 we will just simply the equation you wrote
12.009 write in word form
What is the x-intercept of the line?
(22,36)
(27,54)
(32,72)
Answer:
12
Step-by-step explanation:
the equation of the line is y=18/5x-216/5 and then find the x intercept and that is 12
The x-intercept of the line is 1.
The line intersects the x-axis at the point (1, 0).
Here,
To find the x-intercept of a line, we need to identify the point at which the line intersects the x-axis.
At the x-intercept, the y-coordinate is always 0.
Let's use the given data to find the equation of the line first using two points (x, y):
Using (22, 36) and (27, 54):
Calculate the slope (m) of the line:
m = (change in y) / (change in x) = (54 - 36) / (27 - 22) = 18 / 5
Use the slope and one of the points to find the equation of the line
(y = mx + b).
Let's use (22, 36):
36 = (18/5) * 22 + b
36 = 39.6 + b
b = 36 - 39.6
b = -3.6
So, the equation of the line is y = (18/5)x - 3.6.
Now, to find the x-intercept (where y = 0), we can set y = 0 in the equation and solve for x:
0 = (18/5)x - 3.6
(18/5)x = 3.6
x = 3.6 * 5 / 18
x = 1
Therefore, the x-intercept of the line is 1.
The line intersects the x-axis at the point (1, 0).
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Si cada 5 minutos me pagan 10 puntos cuanto tiempo me tomara llegar a 250.000 puntos
If every 5 minutes they pay me 10 points, how long will it take me to reach 250,000 points
Help Pls/ Ayuda porfa
Step-by-step explanation:
Free point yes idufjeiduejsjdidjd
Answer:
by my calculations the answer is 250 weeks.
Please mark me brainliest
A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 4 1/6 inches?
Answer:
3 weeks and 4 days.
Step-by-step explanation:
If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6
3 3/6 + (1/6 x 4) = 4 1/6
3 weeks and 4 days
PLZ HELP!!!!!!35. ABCD is an isosceles trapezoid with A(0,-1), B(-2,3) and C(6,-1). Find the coordinates of C.
a. (3.8)
b. (9,4)
c. (2,3)
d. (8,3)
Answer:
wouldnt it be (6,-1)...
Step-by-step explanation:
because those are the cords your said c was at
1. 8x^2 + 10x - 9
2. 3x^4 - 14x^2 - 9
3. 4x^2 + 5x - 9
4. 8x^2 + 10x - 18
Answer:
4.
Step-by-step explanation:
(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)
x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x
Rearranging order:
3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9
Combine like terms
8x^2 + 10x - 18
what is first the statement or proportion
Answer: the first statement is a ratio or fractions that are equale
NEED HELP ASAP!! (PIC ATTACHED)
The table below shows the total number of hours Jessica,Emily,and Trina each studied after a given number of weeks
Answer:
See attached
Step-by-step explanation:
Refer to attached
Only column 3 - Trina's numbers represents proportional relationship
Equation for it is:
y = 2.5xCalculation is provided on the table
Solve the quadratic equation.
3x^2-12=16x
Answer:
I think the answer is
x = 6, -2/3
Step-by-step explanation:
I hope this helps please let me know if it is incorrect
OK THIS IS MAH 3rd QUESTION CAN SOMEONE PLS HELP MEH?
I REALLY NEED HELP PLS!
:3
Answer:
The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.
Step-by-step explanation:
Now that i wrote this passage you have to figure out which one it is
if u make 120.45 in 15 2/3 hours how long did u work if u made 40.15 ?
Answer:
about 5.22hrs
Step-by-step explanation:
cross multiply
120.45 ?
15.67 40.15
120.45*40.15
=629.1505
629.1505/15.67
=5.2233333...
DUE IN A HOUR!!!!!!!!!!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
y=1/4x+7/4
Step-by-step explanation:
The price of a TV after a 20% discount is $620, what was the price before the discount?
Answer:
The original prince is: $775
Step-by-step explanation:
As the discount is 20%.As we know that
100% - 20% = 80% = 80/100 = 0.8The price after 20% discount = Discounted price = $620
We have to find the original price before the discount.
using the formula
(Discounted price) = (100 percent - discount percent) x (original price)
$620 = (100% - 20%) x (original price)
$620 = (80%) x (original price)
$620 = (80/100) x (original price)
$620 = (0.8) x (original price)
so
original price = $620/0.8
= $775
Therefore, the original prince is: $775
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. How many miles can he drive.
Answer:
Alex can drive for 100 miles.
Step-by-step explanation:
First, you do 30 - 18, which is 12. Divide 12 by 0.12 to get your answer, which is 100 miles.
Hope this answer helped!
Answer:
Alex can drive for 100 miles
Step-by-step explanation:
Fill in the blank to accurately describe the length of the missing side x
Answer:
8<x<12
Step-by-step explanation:
this is an equilateral triangle, which means 2 sides have the same length. seeing that there is a 12mm on the bottom and a 8mm on the side, that would make x be 8mm as well. so that would make this statement -
8<x<12
hope this helps :)
The auto parts department of an automotive dealership sends out a mean of 3.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be more than 3?
Answer:
0.603
Step-by-step explanation:
Given that mean = 3.2
Probability that special order sent out will be no more than 3
Using poisson :
P(x) = (e^λ * λ^x) / x!
λ= 3.2
P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)
P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622
P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390
P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024
P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159
Hence ;
0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195
= 0.603
If f(1) = 6 and f(n) = f(n-1) + 2 then find the value of f(4).
Answer:
5
Step-by-step explanation:
f(4-1)+2
=3+2
=5
PLS GIVE BRAINLIEST
A baker Likes to make cookies. The graph shows a proportional relationship between cups of flour used in numbers of cookies made. What does the point (0,0) represent and what does the point (1,26)represent
Answer:
i cant see the graph if there was a graph with it it would really help lol
Step-by-step explanation:
Answer:
Don't Be mean Online. Be a buddy, Not a Bully
Step-by-step explanation:
Given g (x) = -x + 3, find g(1)
Answer:
2
Step-by-step explanation:
g (x) = -x + 3
g(1) = -(1) + 3
= 2
Hope this helped! If so, plz mark brainliest.
pls pls pls help i am terrible at math.
where do the points go?
Answer:
I presume that 10x would be on the x axis to the right of 0.
-7y would be on the y axis under 0. Therefore in between -6 and -8
You might know this but very important
X to the decks (horizontally/straight across) and Y to the sky (vertically/ up and down)
Write (6*100) + (4*10) in standard form
What is the standard form of this number?
(8 × 0.1) + (5 × 0.01) + (1 × 0.001) =
Answer:
0.851
Step-by-step explanation: