Answer:
5
Step-by-step explanation:
What is the perfect square of the root 3x^4
Answer:
the perfect square is 9x²
Step-by-step explanation:
√(3×)⁴
=(3x)²
=9x²
A Ferris wheel is 20 meters in diameter and completes 1 full revolution in 8 minutes.
A round Ferris wheel
A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.
a. Find the amplitude, midline, and period of h(t).
Enter the exact answers.
Amplitude: A= meters
Midline: h= meters
Period: P= minutes
b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t=0. Find a formula for the height function h(t).
Hints:
What is the value of h(0)?
Is this the maximum value of h(t), the minimum value of h(t), or a value between the two?
The function sin(t) has a value between its maximum and minimum at t=0 , so can h(t) be a straight sine function?
The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine function?
c. If the Ferris wheel continues to turn, how high off the ground is a person after 30 minutes?
Given that the Ferris diameter is 20 meters, with a rate of rotation of 1 turn in 8 minutes, we have;
a. Amplitude: A = 10 meters
Midline: h = 11 meters
Period, P = 8 minutes
b. h(t) = 10•cos((π/4)•t + π) + 11
c. 11 meters
How can the Ferris wheel be evaluated?The amplitude is the same as the radius of the Ferris wheel,
The radius of the Ferris wheel = 20 ÷ 2 = 10
Therefore;
Amplitude: A = 10 meters[tex]the \: midline \: = \frac{max \: height \: + min \: height}{2} [/tex]
Therefore;
[tex]midline \: = \frac{10 + 10 + 1 + 1}{2} = 11[/tex]
Midline: h = 11 metersThe period is the time to complete one rotation, therefore;
Period, P = 8 minutesb. h(t) = A•cos(B•t + C) + h
Where;
B = 2•π/P
When t = 0, h(t) = 1
Which gives;
h(0) = 1 = 10 × cos(B×0 + C) + 11
-10/10 = -1 = cos(C)
C = arcos(-1) = π
Therefore;
h(t) = 10•cos((π/4)•t + π) + 11h(0) = 1
h(0) is the minimum value of h(t)
h(t) cannot be a straight sine function because of the vertical shifth(t) cannot be a straight cosine function because at t = 0, is the minimum pointc. After 30 minutes, we have;
h(30) = 10•cos((π/4)×30 + π) + 11 = 11
The height of a person after 30 minutes is 11 metersLearn more about the Ferris wheel here:
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a man buys a vehicle at a cost prize of R60 000 from Cape Town. He transported the vehicle from cape town to Gauteng province, where he stays, at a cost prize of R4 500. at what prize must he sell the car to make an overall profit of 25% ?
Answer:
R80625
Step-by-step explanation:
Total Cost : 60000 + 4500 = 64500
To make 25% profit: 64500 X 1.25 = 80625
expand the following
1. ( m+n)(10m-4n)
2.(6x+y)
hope it helps....!!!!!
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
look at the picture i have attached and tell me what you think???
Step-by-step explanation:
parallel is two lines that go like this \\ or like this =
perpendicular is two lines that go like this +
which is it?
Answer:
they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2
29
= 30
31
An amount of $32,000 is borrowed for 6 years at 6.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must
paid back
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$32000\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=32000\left(1+\frac{0.0625}{1}\right)^{1\cdot 6}\implies A=32000(1.0625)^6\implies A\approx 46038.78[/tex]
5
Solve for x. Round all answers to the nearest tenth.
X
32
14
O 11
O 11.7
O 10.2
O 11.9
Answer:
11.9
Step-by-step explanation:
Making sure your calculator is in degree mode, we have:
[tex] \cos(32) = \frac{x}{14} [/tex]
[tex]x = 14 \cos(32) = 11.9[/tex]
solve the system by substitution
Find the area of the trapezoid
7.4 Practice
A medicine is effective on 70% of patients.
The table shows 30 randomly generated
numbers from to 999. Use the table to
estimate the probability of the event.
1. The modicine is effective on at least two
of the next three patients.
028837 618 205 984
724 301249 946 925
042 | 113 | 696 985 632
312085 | 997 198 | 398
117 240 853:373 597
606 077 016 012
695
2. The medicine is effective on none
of the next three patients.
Design and use a simulation to find the experimental probability.
3. A bowler hats the headpin 90% of the time that all ten pins are standing.
What is the experimental probability that the bowler hits the headpin
exactly four of the next five times that all ten pins are standing?
The simulation of the medicine and the bowler hat are illustrations of probability
The probability that the medicine is effective on at least two is 0.767The probability that the medicine is effective on none is 0The probability that the bowler hits a headpin 4 out of 5 times is 0.3281The probability that the medicine is effective on at least twoFrom the question,
Numbers 1 to 7 represents the medicine being effective0, 8 and 9 represents the medicine not being effectiveFrom the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two
So, the probability is:
p = 23/30
p = 0.767
Hence, the probability that the medicine is effective on at least two is 0.767
The probability that the medicine is effective on noneFrom the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none
So, the probability is:
p = 0/30
p = 0
Hence, the probability that the medicine is effective on none is 0
The probability a bowler hits a headpinThe probability of hitting a headpin is:
p = 90%
The probability a bowler hits a headpin 4 out of 5 times is:
P(x) = nCx * p^x * (1 - p)^(n - x)
So, we have:
P(4) = 5C4 * (90%)^4 * (1 - 90%)^1
P(4) = 0.3281
Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281
Read more about probabilities at:
https://brainly.com/question/25870256
Please help and I'll mark brainliest
Answer:
the answer is 60
Step-by-step explanation:
brainliest please
Answer:
B.) I'm not 100% sure
Step-by-step explanation:
Hope this helped
Jeremiah has a mailing cylinder for posters that measures 12 inches long and 8 inches in diameter. What approximate volume can it hold? Use 3.14 for pi. Do not round. SHOW YOUR WORK.
Answer:
The cylinder can hold 508.68 in³
Explanation:
The volume of a cylinder can be calculated using the following rule:
Volume of cylinder = πr²h cubic units
where r is the radius of the cylinder and h is its height
Now, we are given that:
height of cylinder = 18 in
diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in
π is 3.14
Substitute with the givens in the above equation to get the volume of the cylinder as follows:
Volume of cylinder = πr²h
Volume of cylinder = 3.14 * (3)² * 18
Volume of cylinder = 508.68 in³
. Find the angle between the given vectors to the nearest tenth of a degree. u = <2, -4>, v = <3, -8> (2 points)
Answer:
6.0
Step-by-step explanation:
practice many times
If yesterday's day after tomorrow is Sunday, what day is tomorrow's day before
yesterday?
Answer:
friday
Step-by-step explanation:
l need help with this pls
Answer:
50°
Step-by-step explanation:
In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°
What is an equation of the line that passes through (0, 4) and (2,8)?
Answer:
y=2x+4
Step-by-step explanation:
Hi there!
We are given the points (0, 4) and (2,8)
We want to write the equation of the line that passes through these two points
There are 3 ways to write the equation of the line, but the most common way is with slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
So, to use this way, we need to find the slope of the line
The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We are already given the points needed to find the slope, but let's label them to avoid any confusion
[tex]x_1=0\\y_1=4\\x_2=2\\y_2=8[/tex]
Now substitute these values into the formula.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{8-4}{2-0}[/tex]
Subtract
m=[tex]\frac{4}{2}[/tex]
Divide
m=2
The slope of the line is 2
Here is the equation of the line so far:
y=2x+b
Now we need to find b
As stated before, b is the y intercept of the line, which is the point in where the line passes through the y axis; the value of x at this point is 0
One of the points we were given earlier is actually the y intercept of the line; that point is (0, 4) *notice how x=0 at this point
The value of b is the value of y at the y intercept; in this case, the value of b is 4
Substitute 4 as b into the equation
y=2x+4
Hope this helps!
See more on this topic here: https://brainly.com/question/27172025
To visit the top of the Empire State Building, a ticket cost $ 4.00 in 1999. In 2009, the price rose to $ 20.00. What was the percent charge
Answer:
500%
Step-by-step explanation:
500% is 500/100 which is just 5*4=20
A container holds 4 gallons of lemonade. How much is this in pints
Answer:
i think I'd be / the answer is 46
19. Given that angle BFC = 58°. Angle BXG = 48° and angle CBF 22 Find () 2BGX (iv) BCG (i) 2BGF (iv) ZBFG (ii) BCF H EE 58 48° D C 220 A- Figure 5.74
The unknown angles in the cyclic quadrilateral is as follows:
∠BGX = 74° (sum of angles in a triangle)
∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 100°(sum of angles in a triangle)
∠BCG = 26°
∠BFG = 22°
Cyclic QuadrilateralA cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.
Let's find the missing angles as follows:
∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)
∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)
∠BCG = 100 - 74 = 26°
∠BFG ≅ CBF = 22°(alternate angles)
learn more on angles here: https://brainly.com/question/19430381
Find the product. (6y - 2)2
A. 36y2 - 24y + 4
B. 36y2 + 24y = 4
C. 36y2 + 4
D. 12y2 - 16y + 4
Answer:
A. 36y² - 24y + 4Step-by-step explanation:
Use identity
(a ± b)² = a² ± 2ab + b²Here we have a = 6y, b = 2
(6y - 2)² = (6y)² - 2(6y)(2) + 2² = 36y² - 24y + 4Correct choice is A
Tom and Blair live the same
distance from their school.
Marcia lives 2 blocks from the
school, but 7 blocks from Blair.
She lives 1 block closer to the
school than she does to Tom.
They all live on the same street
as the school. How far apart do
Tom and Blair live?
Answer:
Step-by-step explanation:
We can think of this problem like a triangle that Tom, Blair, and Marcia live in.
This triangle is a right triangle.
the opposite is 3, the hypotenuse is 7, and the adjacent side is unknown.
Solving for the adjacent side will give us the distance that Tom and Blair live from each other
a^2 +b^2 = c^2
3^2 + b^2= 7^2
Now we solve for B
7^2 =49
3^3=9
9+b^2=49
Now we subtract
49-9=40
9+40=49
The square root of 40 is 6.3246
Now we check our work
3^2 +6.32^2=7^2
9+ 40 =49
The answer is, tom and Blair live approximately 6.3246 blocks from each other
Hope this helps!
Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.
4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4
Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?
A.
3
10
B.
9
20
C.
11
20
D.
1
36
Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:
A. [tex]\frac{3}{10}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, the number of outcomes are taken from previous trials.
In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:
p = 6/20 = 3/10.
Which means that option A is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
A deck of cards contains
52 cards. two decks
are put together, how
many cards will be left
over if 7 people divide
them evenly?
Answer:
6
Step-by-step explanation:
52+52=104
104/7=14.8
7*14=98
104-98=6
I need help with this question!
Answer:
B
Step-by-step explanation:
Convert 68% As a fraction
Answer:
68/100
Step-by-step explanation:
It would be this because, with percentages, 100 is full. Therefore, we can just make 68 be out of 100. Hope this helps :)
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Eli sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
314 visitors purchased no costume.
68 visitors purchased
exactly one costume.
17 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of
The probability that the next person will purchase exactly one costume is given by: 68/399
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The total number of visitors to the website is 314 + 68 + 17 = 399.
Out of these 399 visitors, 68 purchased exactly one costume.
Therefore, the probability that the next person will purchase exactly one costume is given by:
68/399
This fraction cannot be simplified any further, so the final answer is:
68/399.
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
insurance that pays for damages to houses or businesses is called
Answer:
Homeowners insurance
Step-by-step explanation:
Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.
Frank is surveying shoppers about their use of the new food court in a mall. Which question in his survey is a statistical question?
How many hours do you spend at the food court each month?
Where is the food court located in the mall?
How many restaurants are there in the food court?
Who is the manager of the food court?
Answer:
A How many hours do you spend at the food court each month? is a statistical question
Step-by-step explanation:
Because that can have many answers unlike where is the food court in the mall? that question is not statistical because there can only be one answer and so are all the other ones.
Answer:
How many hours do you spend at the food court each month?
Step-by-step explanation:
I just took test got 100% this answer is correct
How many hours do you spend at the food court each month?
WHEN THE WHOLE IS THE SAME, HOW MANY 8THS DOES IT TAKE TO EQUAL 1\4. DRAW A MODEL TO SHOW YOUR ANSWER.
Answer: 4
Step-by-step explanation:
4 times 2 is 8 if you make 4 eighths you will get 1/4 a
Is the table a linear or exponential function?
The table represents linear because the x represent the exponential functions