Step-by-step explanation:
The height, h in feet, of a rocket is given by, where t is time in seconds.
[tex]h=-16t^2+64t+190[/tex] ...(1)
We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]
So, it will reach its maximum height in 2 seconds.
Now put t = 2 in equation (1) as follows :
[tex]h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}[/tex]
So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.
The student council made a pront of $3,000 on a car wash. If they invest the money at 5% interest
compounded yearly, how much money would they have in four years?
Answer:
$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
Step-by-step explanation:
We are given:
Principal Amount = $3000
Interest Rate r = 5% or 0.05
n=1 (compounded yearly)
Years t= 4
We need to find future value (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values in formula and finding future value A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.05}{1})^{1*4}\\A=3000(1+0.05)^4\\A=3000(1.05)^4\\A=3000(1.215)\\A=3375[/tex]
So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
Sandra can run 5 miles per hour. Write an equation to show the relationship between the amount of hours, h, and the total distance, d. Explain how you got your answer.
Answer:
d=5h because the number of hours run multiplied by 5 would equal the
total distance.
Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?
Answer:
12
Step-by-step explanation:
Since they traveled in opposite directions, we would add the 2 numbers!
8+4=12.
1. If g(x)= 4(3)* then g(-2)= ?
Help please
Answer:
-8
Step-by-step explanation:
Assuming that the in parentheses is what we are supposed to change (3)..We would replace the three with the negative two this means that we will solve for four times -2 which equals -8.Hope this helps!
A possible reason for inaccurate measurement
Answer:
Random Errors. Random errors are ones that are easier to deal with because they cause the measurements to fluctuate around the true value. ...
Systematic Errors. ...
What Causes Measurement Errors? ...
Instrument Errors. ...
Calibration. ...
Instruments Getting Old. ...
Operator Errors. ...
Measurement Location Errors.
Step-by-step explanation:
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
All students at the university
The proportion of the 300 surveyed students who are in-state students
The list of the 300 answers to the survey question
The answer in-state out-of-state or foreign
The 300 students who were surveyed
The proportion of all students from this university who are in-state students
population
Statistic
Data
Variable
Sample
Parameter
Answer:
The correct matches are;
All students at the university → Population
The proportion of the 300 surveyed students who are in-state students → Statistic
The list of the 300 answers to the survey question → Data
The answer in-state out-of-state or foreign → Parameters
The 300 students who were surveyed → Sample
The proportion of all students from this university who are in-state → Variable
Step-by-step explanation:
1) The population is the set that contains total number of possible observation in the question, the population is all the students of the university
2) A statistic is a calculated quantity derived from a sample's data value that can be used in estimating a parameter of the population or outlining a sample characteristic
The proportion of the in-state student in the sample is found by taking the ratio of the number of in-state student in the sample to the total number of student in the sample
3) Data are collected information which may be qualitative or quantitative variables
The answers collected in the survey are the data of the 300 surveyed student
4) A parameter is the value that is used as the means of measuring or classifying an item or system
5) A sample is a part or portion of a population, that serves as representative of the population
6) A variable is a quantity that can vary or cannot be said to be constant.
The number proportion of all students from the university who are in-state students can change due to change in the proportion during graduation and admission.
The vocabulary word when correctly matched to the corresponding example would give:
All students at the universityPopulation
The proportion of the 300 surveyed students who are in-state studentsParameters
The list of the 300 answers to the survey questionData
The answer in-state out-of-state or foreignVariable
The 300 students who were surveyedSample
The proportion of all students from this university who are in-state students populationStatistic
Read more about statistics here:
https://brainly.com/question/12150562
Complete the equation of the line through (3,-1) and (4,7)
Answer:
y=8x-25
Step-by-step explanation:
I put my work in the picture I attached
Answer:
y=8x-25
Step-by-step explanation:
1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8
2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b
3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25
4) then you put everything together and you get y=8x-25
Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.
y=9+9 because when you take that factor off you add 8 + 1
If three coins are tossed, how many outcomes are favourable to getting 1 head a 2 tails. Present the answer as a fraction.
Answer:
There are 8 possible outcomes
h h h
t t t
h t h
t h h
h h t
h t t
t t h
t h t
One head and 2 tails occurs in the sixth, seventh and eighth rows.
So, the probability is 3 out of 8 or 3/8 or .375
Step-by-step explanation:
You want to buy a new TV the has a regular price of $450. It is on sale for 20% off.
What is the amount of discount?
$95.40
What is the sale price?
Answer:
you just have to be poggers and the answer will come to you
Step-by-step explanation:
WILL MARK BRAINIEST IF RIGHT
(AMC8, 2008) In square ABCE, A F = 2FE and CD = 2DE. What is the ratio of the area △BDF to the area of square ABCE?
A. 1/6 B. 2/9 C. 5/18 D. 1/3 E. 7/20
Answer:
The answer is A
Answer:
C
Step-by-step explanation:
Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0
Answer:
I think -4
Step-by-step explanation:
A stick is 20cm long.A student makes a 5% error in measuring the stick. find two possible values for the student's measurement
The two possible measurements given by the student are :
19 cm or 21 cmGiven the Parameters :
Length of stick = 20 centimeters Percentage Error in measurement = 5%The length of the error in measurement can be calculated thus :
Percentage error in measurement × length of stick 20 cm × 5% = 1 cmTherefore the student's measurement can be expressed as :
Actual measurement ± actual length 20 - 1 or 20 + 1 19 or 20Therefore, the possible measurements of the student are 19 or 21 cm
Learn more : https://brainly.com/question/18796573
PLEASE HELPPPPP MEEE♥️♥️♥️♥️
Answer:
[tex](.2246 \\ 5513[/tex]
The mean age of five people in a room is 24. One of the people (age 40) leaves the
room. The mean age of the remaining four people is
Answer:
thxss for the points love
Step-by-step explanation:
kisses
Answer:
16
Step-by-step explanation:
Can u help my 9-12 real quick
Answer:
9. B
10. C
11. A (probably)
12. D
Answer:
9) a
10) c
11) a
12) d
( I don't know if 11 and 12 are correct)
Why does the sequence of translating and reflections matter?
Answer:
If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph. If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.
Step-by-step explanation:
Hope this helps you with your math
CORRECT ANSWER GETS BRAINLIEST !
Vana lives 6 miles from the library and 18 miles from the museum . To the nearest mile . What is the shortest distance from the museum to the library ?
A.16mi
B.17mi
C.19mi
D.20mi
Answer:
C
Step-by-step explanation:
I just took the quiz :D
May I have Brainiest???
i need help asap......
20 points and brainliest.
Answer:
c.
Step-by-step explanation:
f(x)=3x+5
y=3x+5
x=3y+5
x-5=3y
y=(x-5)/3
y=1/3x-5/3
what is (10 - 3 x 2) to the power of 2?
Please help!
Answer:
The answer is 16
Step-by-step explanation:
Multiply -3 by 2
(10-6)^2 ^2=power
subtract 6 from 10
4^2
Raise 4 to the power of 2
16
.
Answer:
16
Step-by-step explanation:
= (10 - 3 x 2) ^ 2
= (10 - 6) ^ 2
= 4 ^ 2
= 16
HOPE THIS HELPS
PLZ MARK BRAINLIEST
the graph below shows a proportional relationship between x and y. what is the constant of proportionaliy y/x
Answer:
it is 4 i just did it
Step-by-step explanation:
Answer:
Four
Step-by-step explanation:
4
Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric?
Answer:
Price per yard is $6,5
Step-by-step explanation:
22.75/3.5 = 6,5
A cell phone tower casts a shadow 150 feet long. A tree nearby that is 30 feet tall casts a shadow that is 20 feet long. How tall is the cell phone tower
Answer:
[tex]90,000^{3}[/tex] (90,000 cubed)
Step-by-step explanation:
150 x 30 x 20
y’all what is 1/7=1/7x-3
Answer:
x=22
Step-by-step explanation:
The equation that represents the linear relationship is y =
Will give brainlist
Answer: Y=150
Step-by-step explanation: SIMPLE MATH
Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
Since the slope of the line, m = -1/2
and we know that, line equation is, y=mx+c
so the answer is, option 1.)
1.) y-4 = -1/2 (x+6)
Evaluate each value expression for the given value of x: 22-x/5 , x=20
Answer:
18
Step-by-step explanation:
or
for taking sq root:
x=√10 or x=−√10
PLEASE HELP WITH THIS!
Answer:
42
Step-by-step explanation:
Answer:
The answer would be (A.)
Step-by-step explanation:
Can you answer my question that i just posted please and thank you :)
Two classes are having pizza parties. Ms. Rodriguez’s class decides to order enough so that every 3 students will have 2 pizzas. Mr. Becker’s class decides to order enough so that every 5 students will have 3 pizzas. Complete the following statements. You can enter whole numbers, decimals rounded to the hundredths place, or simplified fractions.
Each student in Ms. Rodriquez’s class will get _____ of a whole pizza.
Each student in Mr. Becker’s class will get _____ of a whole pizza.
Answer:
2/3
3/5
Step-by-step explanation: