A parachutists speed during a free fall reaches 153 miles per hour. What is this speed in feet per second? at this speed, how many feet will the parachutist fall during 15 seconds of free fall? in your computations, use the fact that 1 mile is equal to 5280 feet. do not round your answer
153 miles x 5280 feet per mile = 807,840 feet per hour.
1 hour = 3600 seconds.
The speed is 807,840 feet / 3600 = 224.4 feet per second.
Distance in 15 seconds = 224.4 x 15 = 3,366 feet.
The height of the rocket after t seconds is given by the equation h(t) = -16t² + 42t
What is an equation?An equation is an expression that shows the relationship between two or more variables and number.
1 mile = 5280 feet, 1 hour = 3600 seconds
153 miles per hour = (153 * 5280) / (3600) ft/s = 224.4 ft/s
After 15 seconds, height = 224.4 ft/s * 15 s = 3366 ft
The speed of the parachute is 224.4 ft/s, while after 15 seconds the distance fell was 3366 ft.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
hey,what is bisexual
Which best describes the solution set of the compound inequality below?
Answer:
Option B. 4<=x<=6 is the solution set.
Which is equivalent to 3^4
Answer:
81
Step-by-step explanation:
3^4
=3*3*3*3
=81
Hope this helps!!
Which number is closest to V6 ?
Answer:
2.44949
Step-by-step explanation:
hope this helps
Answer:
2.9
Step-by-step explanation:
(-4b2+8b)+(4b3+5b2-8b)=
The solution of the expression (- 4b² + 8b) + (4b³ + 5b² - 8b) would be
(4b³ + b² ).
Used the concept of the equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
The equation is,
(- 4b² + 8b) + (4b³ + 5b² - 8b)
Now, combine like terms of the equation and simplify as,
(- 4b² + 8b) + (4b³ + 5b² - 8b)
4b³ - 4b² + 5b² + 8b - 8b
4b³ + b²
Therefore, the solution is (4b³ + b² ).
To learn more about the equation visit:
brainly.com/question/28871326
#SPJ4
Simplify the following expression............
PLEASE HELPPP! it’s due todayyyyy
The answer is 3k^2 m^6/ 4
You would put the first half on top of the four.
katie has $120 on her cafeteria cardka. everytime she orders a meal , $4.50 is deducted from the
Answer:
120-4.50 = 115.10
Step-by-step explanation:
She will have $115.10 left if she buys one mean
Which number is equivalent to –(–2)?
The first negative sign cancels out the second, so 2 is equivalent to -(-2).
2A double negative number becomes a positive.
-(-2) = 2
The answer is positive 2
Order the steps to show how to solve the equation 2(4x−11)+9=19.
Answer:
4
Step-by-step explanation:
2(4x-11)+9=19
8x-22+9=19
8x-13=19
8x=32
x=4
The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If his sister Sydney had a fee of $1.92 for a late book, how many days late was the book?
Answer:
16 days
Step-by-step explanation:
1.08 $:9 days
1.92 $: x
1.08 x: 17.28
x = 16
PLEASE HELP!!! The sum of 2 consecutive itegers is 294. Write an equation for the integers.
Answer:
147
Step-by-step explanation:
Divide 294 by 2
Who is the better rapper Drake or Kendrick
Answer:
Drake
Step-by-step explanation:
Answer:
Drake
Step-by-step explanation:
A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that
Answer:
160 animals
Step-by-step explanation:
is 4:3 and 3:4 equivalent
Answer: No
Step-by-step explanation:
Select all of the nets that can be folded and assembled into a triangular prism like this one.
The correct options for folded and assembled into a triangular prism are;
Option A and Option D.
What is Triangle?
A triangle is a three sided polygon, which has three vertices and three angles.
Given that;
The triangular prism figure after fold is given.
Now, The triangular prism figure is contain two triangles and three squares.
So, In option A;
There are two triangles and three squares.
And, In option D;
There are two triangles and three squares.
Thus, The correct options for folded and assembled into a triangular prism are;
Option A and Option D.
Learn more about the triangle visit:
https://brainly.com/question/21735282
#SPJ5
A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.
Answer:
a
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
b
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 3 \ minutes = 180 \ seconds [/tex]
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{156 + 136 + \cdots + 181}{25}[/tex]
=> [tex]\= x = 173.2 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }[/tex]
=> [tex]\sigma = 24.261[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }[/tex]
=> [tex] z = -1.40[/tex]
Generally p-value is mathematically represented as
[tex]p-value = P(Z < z)[/tex]
=> [tex]p-value = P(Z < -1.40)[/tex]
From the z-table
[tex]P(Z < -1.40) = 0.080757[/tex]
=> [tex]p-value = 0.080757 [/tex]
From the obtained value we that [tex]p-value > \alpha[/tex]
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
4. Changer =
to an equiv-
1 + 2 sin e
alent rectangular equation.
a group a friends share 3 1/2 slices of cake. each friend get half a slice of cake. how many friends shared the slices of cake.
Answer:
7
Step-by-step explanation:
3×2
6+1
7
You multiple it by 2 since it is 1/2 and not a whole piece
Answer:
7
Step-by-step explanation:
3 1/2 divided by 2 is 7
Let xy=6 and x2 + y2 = 23 what is the value of (x+y)??
Answer:
I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.
Step-by-step explanation:
This problem invovles completing the square, so if I square (x+y), I get
x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.
3) You paid $5 for a bucket of popcorn and $1.25 per candy bar. How many candy bars
can you buy to spend no more than $10?
4 dollars flat $4.00
Step-by-step explanation:
1.25x4= 5$ 5$+5$=10$
Answer:
4 candy bars
Step-by-step explanation:
you have to subtract $5 from $10, which is $5, then take the .25 from the candy bar. Add $4 candy bars to $5, $9, and then add in the .25. .25 times 4 is $1, and $9+$1 is $10
What is the equation for the line?
Answer:it may be the first one but I can’t see the lines on the graph clearly.
Step-by-step explanation:
134d) Graph the hyperbola, identify the center, vertices, foci, and equations of the asymptotes
49y^2−25x^2−196y−200x−1429=0
IF YOU ARE GOOD AT MATH, PLEASE HEAD OVER TO MY PROFILE, IN THE QUESTIONS TAB AND ANSWER THE QUESTIONS STARTING FROM THE ONE MARKED 132B!
best answers get marked 'brainliest'!
Thank you!
Answer:
Step-by-step explanation:
49y^2 - 25x^2 - 196y - 200x = 1429
49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400
49(y-2)^2 - 25(x+4)^2 = 1225
(y-2)^2/25 - (x-4)^2/49 = 1
So now you know that you have an hyperbola with
center at (-4,2)
foci at (-4,2±[tex]\sqrt{74}[/tex])
vertices at (-4,2±5)
asymptotes 7y±20 = ∓5x+14
Choose the simplified form of the expression,
5x + 6x?- 2x + x
I need it fast please!!!
Answer:
10x
Step-by-step explanation:
If the question mark is an accident, the answer is 10x.
5x+6x-2x+x
11x-2x+x
9x+x
10x
What is 2/5 + 1/4+7/10
Answer:
1 7/20
Step-by-step explanation:
Answer:
27/20 or 1 7/20
Step-by-step explanation:
1) make the denominators the same
2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/202) add the numerators
8+5+14=273) the denominator stays the same
27/204) simplify it to 1 7/20
what is a point-slope equation of the line with slope -10 that goes through the point (1,4)
Answer:
The answer is
[tex]y - 4 = - 10(x - 1)[/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
So we have the final answer as
[tex]y - 4 = - 10(x - 1)[/tex]
Hope this helps you
14÷5983 step by step
I really need help with this ?
Answer:
Answer=44
Step-by-step explanation:
Rectangle: 6x4=24.
Triangle: 4x4=16, and 16/2=8.
Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.
Overall: 24+8+8=44 cm squared.
What sets of numbers are included in the real numbers
Answer:
−3, −2, −1, 0, 1, 2, 3
9+10
A.21 B.19 C.1 D.90
Answer: 19 XD
Step-by-step explanation: u add