Answer:
x=50
Step-by-step explanation:
(x-10)+x+90=180
2x-10+90=180
2x+80=180
2x=100
x=50
The height of a firework shot upward from the ground with the initial velocity of 10meters per second is represented by the function h(t) = - 16t2 + 4t How long did it take the firework to reach the ground
Answer:
0.375 seconds
Step-by-step explanation:
In simple terms, to find the time it took to reach the ground, we need to find t from the equation.
If we differentiate h with respect to t we will get the velocity with which the fireworks is moving at.
[tex]h(t) = - 16t^2 + 4t.\\dh/dt =-32t +4[/tex]
We can now equate this to its velocity and solve for t
10 = -32t +4
t = 0.1875 ( time cannot be negative in value, so we ignore the negative sign)
Therefore, the time it took the fireworks to reach the ground is = 2 x 0.1875= 0.375 seconds.
(We need to account for the fact that the fireworks went up and came down)
Here are the instruction plz help asap
Part 1
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.
(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)
To measure the forearm, measure inside the arm, between the wrist and the elbow.
Part 2
Organize your data and find the rate of change.
Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.
Select two sets of points and find the rate of change for your data.
Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3.
Answer:
again please don't just straight up copy it just use it as a base please also i tried my best and don't know if i got it right
Step-by-step explanation:
Part 2
Organize your data and find the rate of change.
I’m sorry i didn’t know how to make a table so i just did this
Person number 1- Left foot is 9 inches Forearm is 8.5 inches
Person number 2- Left foot is 7.5 inches Forearm is 7 inches
Person number 3- Left foot is 11 inches Forearm is 10.5 inches
Person number 4- Left foot: is 10 inches Forearm is 9.5 inches
Person number 5- Left foot is 6 inches Forearm is 5.5 inches
The rate of change equals y=x-0.5
I believe that it's a function because there is a relationship between 2 variables.
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
i don’t know how to type all my formulas and work so i'm just going to say the answer i got the rate of change = 0.86x or y=0.86x+3.302
What is the rate of change of the equation from Part A?
For Part A i got y=x-0.5 and that part A has the greater rate of change.
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Well, the values have to be different because there are different rates of change and different linear coefficients; and also each input value will result in a different output value because they all have different parameters as well.
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
Yes, it is a function because each input from part A fits well together with the output on the other set, which matches the definition of a function.
Answer:
11.9
Step-by-step explanation:
Dinner at your grandfather's favorite restaurant now costs $25.25 and has been increasing steadily at 4% per year. How much did it cost 35 years ago when he was courti
your grandmother?
Rectangle ABCD is transformed to A'B'C'D' by a
dilation.
What is the scale factor used for the dilation?
A 1/6
B 1/3
C 3
D 6
Answer:
c. 3
Step-by-step explanation:
You just multiply the pre image points by 3 and you get the image.
Answer:
C. 3
Step-by-step explanation:
If you put A, B, or D, you get less than a 100
30 cents in each dollar is a paid tax. what fraction is paid in tax? what percentage is not paid in tax?please i need an answer within 10 minutes I'm In an exam
Answer:
30 cents of a dollar is 30% tax paid and 70% not paid.
A dollar is 100 cents.
Step-by-step explanation:
At one gas station, gas costs $2.75 per gallon. Complete the equation that relates the total cost, C, to the number of gallons of gas purchased, g.
C = __
Answer:
C = 2.75
Step-by-step explanation:
it does not tell how much there for it is 1 gallon
PLEASE I NEED HELP ON THIS ONE TOO THANK YOU BRAINLY IF CORRECT TYSM PLEASE HELP
Which organization is a major part of the executive branch?
A. The House of Representatives
B. The U.S. Senate
C. The cabinet
D. The Supreme Court
Answer:
C. The cabinet
Step-by-step explanation:
The executive branch besides the president also includes the advisors that help the president make decisions.
The House of Representatives and U.S. Senate are part of the Legislative Branch (Law and Order).
The Supreme Court is the only organization that makes up the Judicial Branch.
I need help please
Answer: SAS
Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.
9y - 1 = -10y + 227
Answer: y=12
Step-by-step explanation:
What is the x- intercept of y+ 12 =3 (x-9)?
Answer:
13,0
Step-by-step explanation:
12=3(x-9)
divide both sides by three
4=x-9
add 9 to both sides
x=13
so, the x intercept is (13,0)
Answer:
x-intercept: (13,0)
y-intercept: (0,-39)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x .
To find the y-intercept, substitute in 0 for x and solve for y .
SOMEONE PLEASE HELP ME ASAP
Answer:
its 2
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
9 + -13= -4
add nine on both sides
then subtract -13 from 9
and you will get -4
What is the initial value in this question y=8x+6 8 or 6?
Answer:
it should be an 8
Step-by-step explanation:
The initial value in this question y = 8x+6 will be 8 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The equation is given as;
y = 8x+6
We can see that the equation contains two terms that are 8x and 6.
The initial value is the first number of the first term in the equation.
Here, the first term is 8x.
Hence, the initial value in this question y = 8x+6 will be 8 .
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(
PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there
I know it is a long one, but I am giving away all of my points!!! I know most of the answers, but for all exept the graphing questions the work needs to be shown!
Consider the quadratic function.
f(x)=-(x+4) (x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.
Solve the system of equations. Show your work.
y=x^2-3x+4
x+y=4
Answer:
Answers are in bold
Step-by-step explanation:
Part 1A
Use the Zero Product Property to find the x-intercepts:
0=-(x+4)(x-1)
0=(x+4)(x-1)
0=(x+4)
-4=x
x=-4
0=(x-1)
1=x
x=1
So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)
For the y-intercepts, plug in x=0:
f(x)=-(0+4)(0-1)
f(x)=(-4)(-1)
f(x)=4
So the y-intercept is y=4 which is also (0,4)
Part 1B
In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k
For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:
f(x)=-(x+4)(x-1)
f(x)=-(x^2+3x-4)
f(x)=-x^2-3x+4
So now we know a=-1 and b=-3, therefore we can plug them in:
x=-b/2a
x=-(-3)/2(-1)
x=3/-2
x=-3/2
x=-1.5
So the equation of the axis of symmetry is x=-1.5
Part 1C
We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:
f(x)=-(-1.5+4)(-1.5+1)
f(x)=-(2.5)(-0.5)
f(x)=-(-1.25)
f(x)=1.25 <-- y-coordinate
So the coordinates of the vertex are (-1.5,1.25)
Part 1D
See the image below
I'll let someone else do the last 4 questions as I am unable to answer them.
Lisa had a bag of 600 candies. There were mints, caramels, and lemon drops in the bag. Lisa took out 15 pieces of candy, and 3 were caramels. Based on this information, how many caramels are in the bag?
Answer:
200 caramels im sooo sorry if it's wrong..
Step-by-step explanation:
i just divided 600 by 3.
are you smarter than a 7th grader get your answers by answering this question please please please please please
Answer:
F
Step-by-step explanation:
8 - (2-3) -1 = 8
6 - (-2) = 8
8-(2-3)-1=6-(-2)
A band earned $550.00 for playing at a concert. Their manager takes 15% of the money earned for each show and the band is donating 20% of the money earned to charity. How much money is left for the band to split?
Answer:
The amount of the money earned left for the band to split is $357.5
Step-by-step explanation:
The amount the band earned for playing at the concert = $550.00
The percentage of the money earned taken by the manager = 15%
The percentage of the money earned the band is donating to charity = 20%
The amount of the money earned the manager takes = 15/100 × 550 = 82.5
∴ The amount of the money earned the manager takes = $82.5
The amount of the money earned that is donated to charity = 20/100 × 550 = 110
∴ The amount of the money earned that is donated to charity = $110
The amount of the money earned left for the band to split = $550 - $82.5 - $110 = $357.5.
Find the perimeter of the shaded region of this composite figure.
Answer:
perimeter of shaded region:
area of rectangle- area of semicircle
l×b‐(pie r²) diameter of circle‐6m; Radius‐3
8×6‐(3.14×3×3)
42— 28.26=13.74m
HOPE IT WILL HELP YOU
Does anyone else need to do Ed.genuity?
No, if you don’t mind what is that?
does 3,34 satisfy the equation y= 8x + 10
Answer:
Let y=34 and x=3
Step-by-step explanation:
y = 8x + 10
34 = 8 (3) + 10
34 = 24 + 10
34 = 34
Hence,3 and 34 satisfies this equation.
which of the following is not a congruence theorem or postulate A. ASA B. SSS C. SAS D. AAA
Answer:
D. AAA is not a congruence postulate
Step-by-step explanation:
zora recently got an afterschool job to save money to buy a car. She opened a savings account and deposits a fixed amount each week so that she can quickly meet her savings goal. The table below shows the relationship.
Answer:
40
Step-by-step explanation:
The initial value of the function is 40, which represents the amount of money she deposits each week
17q=476 Solve for q
Answer: The answer is q = 28.
What is the slope of the line that passes through the points M (4,-5) and N (0, -8)?
A.) -3/4
B.) 13/4
C.) -4/3
D.) 3/4
Answer:
D. 3/4
Step-by-step explanation:
using the y2-y1/x2-x1 to find the slop: -8--5/0-4 = 3/4
Answer:D
yee
Step-by-step explanation:
PLEASE I NEED HELP ASAP, WILL GIVE BRAINLIEST
What do you call the origin, X-axis, and y-axis in the polar coordinate system?
Answer:
coordinate plane?
Step-by-step explanation:
.
Answer:
In polar coordinates the origin is often called the pole. Because we aren't actually moving away from the origin/pole we know that r=0 . However, we can still rotate around the system by any angle we want and so the coordinates of the origin/pole are (0,θ)
Step-by-step explanation:
Divide 6 divided by 3/5
Answer only if u know please:)
Answer:
The answer is 10 or 10/1
Choose from the drop-down menus to match the trigonometric expression with its value. Sine StartFraction 2 pi Over 5 EndFraction cosine StartFraction pi Over 10 EndFraction + cosine StartFraction 2 pi Over 5 EndFraction sine StartFraction pi Over 10 EndFraction = Cosine 13 degrees cosine 47 degrees minus sine 13 degrees sine 47 degrees = Sine StartFraction 2 pi Over 5 EndFraction cosine StartFraction 8 pi Over 5 EndFraction + cosine StartFraction 2 pi Over 5 EndFraction sine StartFraction 8 pi Over 5 EndFraction =
Answer:
1
0.5
0
Step-by-step explanation: got it right on edge
Answer:
1
0.5
0
Step-by-step explanation:
just took it
Simplify the following equation (2^3)^-2
hello people does anyone
Answer:
The answer is 24. Yes we do.
Sandy has 27 roses, 9 daisies, and 45 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?
Answer:
The greatest number of flowers that could be in a bouquet is 9 flowers.
Each bouquet would contain: 3 roses, 1 daise and 5 tulips
Step-by-step explanation:
Sandy has 27 roses, 9 daisies, and 45 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?
We solve the above question using Greatest Common Factor method.
We find the factors of 27, 9 and 45
The greatest common factor is the highest factor common to these 3 number
Hence:
The factors of 9 are: 1, 3, 9
The factors of 27 are: 1, 3, 9, 27
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 9.
Therefore, the greatest number of flowers that could be in a bouquet is 9 flowers
Each bouquet would contain
For 27 roses = 27/9 bouquet = 3 roses
For 9 daisies = 9 daisies/9 bouquet = 1 daisies
For 45 tulips = 45 tulips/9 bouquet = 5 tulips