Answer: The displacement is -4 ft.
Step-by-step explanation:
The velocity is:
v(t) = 2t - 5ft/s
If we want to find the displacement between t = 0s and t = 4s, we need to find the difference between the position at t = 0s and at t= 4s
The equation for the position is obtained by integrating over time:
P(t) = (2t^2)/2 - 5*t + c
where c is the initial position, then we have:
P(t) = t^2 - 5t
P(4) - P(0) = 4*4 - 5*4 - 0 = 16 - 20 = -4
The total displacement is -4 feet
Answer:
Displacement, d = - 4ft
Step-by-step explanation:
Given,
The velocity function for a particle v(t) = 2t - 5 ft/sec.
To obtain the displacement for the particle from t = 0 to t = 4 sec
We integrate v(t) with respect to t
: Displacement, d = ∫₀⁴ ( 2t - 5) dt
= t² - 5t |₀⁴ = (4² - 5(4)) - 0² - 5(0)
=16 - 20 = - 4ft
I’ll give thanks to those that help of course. I promise
Answer: 74
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
73+ 21
Dan buys a car for £700. It depreciates at a rate of 5.5% per year. How much will it be worth in 6 years? Give your answer to the nearest penny where appropriate.
The correct answer is:
£498.53
A punch recipe calls for 4 cups of lemonade to 3 cups of sparking juice.If sara is making 42 cups of punch then how many cups of lemonade does she need
For 42 cups of punch 168 cups lemonade is used.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have, For one punch 4 cups of lemonade to 3 cups of sparking juice is used.
Now, for 42 cups the amount of Lemonade needed
= 4 x 42
= 168 cups
and, Amount of Sparking juice needed
= 3 x 42
= 126 cups
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express the linear equation 3=2x in the form of ax+by+c=0 indicate the value of a,b and c
Answer:
0x^2 + 2x -3 = 0
a = 0
b = 2
c = -3
Step-by-step explanation:
3 = 2x
0 = 2x - 3 (move three to other side)
0x^2 + 2x -3 = 0 (Finish off the equation by adding zeros in the empty spots to make the eeqution ax^2 + bx + c = 0)
a = 0
b = 2
c = -3
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
(Figure is not drawn to scale.)
Which of the following options is closest to the distance (in miles) between points A and B? (5 points)
Group of answer choices
3.46 miles
4.24 miles
4.90 miles
5.92 miles
Answer:
It’s in between a and b
Step-by-step explanation:
Answer:
i believe the answer is a
A builder is putting in a circular patio. Find the circumference by using 22/ 7 as an estimate for . What is the circumference if the radius is 5 yards.
Answer:
110/7 yards
Step-by-step explanation:
Given:-
- The radius of circular patio, r = 5 yards
Find:-
What is the circumference of circular patio
Solution:-
- The circumference "C" of a circle is given as:
[tex]C =2 *\pi*r\\\\\pi = \frac{22}{7} \\\\ C = 2*\frac{22}{7}*5\\\\C = \frac{110}{7} yards[/tex]
- The circumference of the circular patio is 110 / 7 yards.
To determine how a city's residents feel about building a new youth center, a group considers surveying 50 random children at a local elementary school. Why would this result in a biased sample? Select three answers.
Answer:
This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.
Step-by-step explanation:
A survey is being conducted to determine how a city's residents feel about building a new youth center.
They are considering to survey 50 random children at a local elementary school.
This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.
Moreover, it is likely that the students of elementary school might not even have any interest in youth center so results would be biased.
Therefore, it is suggested to include a variety of samples that is surveying different age groups that covers all of the community.
Answer:
1. The survey is only considering elementary school students, but not children in middle school or high school.
2. The survey is also not considering any adult at all. Most likely they represent the majority of the local residents.
3. Finally, it's important to understand in advance what would be the main differences with the current youth center and include those specific questions in the survey. It's important to determine if the new youth center will fill the gap.
Step-by-step explanation:
What is the value of AAA when we rewrite \left(\dfrac {6}{17}\right)^{9x}( 17 6 ) 9x (, start fraction, 6, divided by, 17, end fraction, ), start superscript, 9, x, end superscript as A^{x}A x A, start superscript, x, end superscript ?
The value of A is [tex]\left( \dfrac{6}{17}\right)^{9}[/tex].
Given that,
Equation; [tex]\rm \left(\dfrac{6}{17}\right)}^{9x}[/tex]
We have to find,
The value of A when the function is written as [tex]\rm A^x[/tex]?
According to the question,
To determine the value [tex]A^x[/tex] by applying the exponent property in the equation following all the steps given below.
By using the exponent property rewrite the equation,
[tex]\rm \left ( a )\right ^{mn} = ( a^m )\right^{n}[/tex]
Applying the property in the equation,
[tex]\rm \left(\dfrac{6}{17}\right)}^{9x}= \left( \left(\dfrac{6}{17}\right)^{9}\right) \right)^{x}[/tex]
By comparing the equation with [tex](A)^{x}[/tex],
[tex]\rm A ^{x}= \left( \left(\dfrac{6}{17}\right)^{9}\right) \right)^{x}\\\\A = \left( \dfrac{6}{17}\right)^{9}[/tex]
Hence, The required value of A is [tex]\left( \dfrac{6}{17}\right)^{9}[/tex].
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The value of [tex]\( A \)[/tex] when rewriting [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \) is \( \left( \frac{6}{17} \right)^9 \)[/tex]. The correct answer is option B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex] .
Step 1
Let's break down the calculation step by step to rewrite [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \)[/tex].
Given:
[tex]\[ \left( \frac{6}{17} \right)^{9x} \][/tex]
To express this in the form [tex]\( A^x \)[/tex], we observe that [tex]\( \left( \frac{6}{17} \right)^{9x} \)[/tex] can be rewritten using exponent rules:
[tex]\[ \left( \frac{6}{17} \right)^{9x} = \left( \left( \frac{6}{17} \right)^9 \right)^x \][/tex]
Now, calculate [tex]\( \left( \frac{6}{17} \right)^9 \)[/tex] :
[tex]\[ \left( \frac{6}{17} \right)^9 = \frac{6^9}{17^9} \][/tex]
Step 2
Calculate [tex]\( 6^9 \)[/tex] and [tex]\( 17^9 \)[/tex]:
[tex]\[ 6^9 = 10077696 \][/tex]
[tex]\[ 17^9 = 1667988092 \][/tex]
So,
[tex]\[ \left( \frac{6}{17} \right)^9 = \frac{10077696}{1667988092} \][/tex]
Therefore, [tex]\( A \)[/tex] in [tex]\( A^x \)[/tex] is:
[tex]\[ A = \left( \frac{6}{17} \right)^9 \][/tex]
Thus, the correct answer is:
B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex].
Complete question : What is the value of A when we rewrite [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \)[/tex]?
A) [tex]\( A = \frac{54}{17} \)[/tex]
B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex]
C) [tex]\( A = \left( \frac{17}{6} \right)^9 \)[/tex]
D) [tex]\( A = -\frac{1}{9} \)[/tex]
A beam of light is transmitted through a medium with an index of refraction of 1.46. What is the speed of the light beam as it travels through the medium?
Answer:
The speed of light through the medium is 2.1 * 10^8 m/s
Step-by-step explanation:
In this question, we are asked to calculate the speed of light beam as it travels through a medium given the refractive index of the medium.
Mathematically;
n = c/v
where n is the refractive index, v is the speed of light through the medium and c is the speed of light in a vacuum.
From the question, we can identify that the refractive index is 1.46 and the speed of light through vacuum is 3 * 10^8 m/s
Rearranging the equation; we have;
v = c/n
v = (3 * 10^8)/1.46
v = 2.1 * 10^8 m/s
Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yellow disks numbered 7 through 8, find the probability of selecting a red disk, given that an odd-numbered disk is selected.
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Total number of red disk=6
Total number of yellow disk=2
Total disk=6+2=8
Odd number=1,3,5,7=4
Odd number on red disk=1,3,5=3
Probability,[tex]P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}[/tex]
Using the formula
The probability of getting odd number disk=[tex]\frac{4}{8}=\frac{1}{2}[/tex]
The probability of getting odd numbered red disk=[tex]\frac{3}{8}[/tex]
The probability of selecting a red disk,given that an odd numbered disk is selected=[tex]\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}[/tex]
Using conditional probability
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]
Argue whether or not you believe using a sample of students from your school's cafeteria (you recruit the next 100 people to visit the cafeteria to participate) may or may not yield biased estimates based on the variable being measured/research question being investigated in each of the following situations.
a. Using the proportion of students with Type O blood to learn about the proportion of U.S. adults with Type O blood
b. Using the proportion of students who eat fast food regularly to learn about the proportion of U.S. college students who eat fast food regularly
Answer: A. Representative, since blood types are probably not different among students at the cafeteria compared to the U.S. population, B. Not representative, since students in the cafeteria may eat most of their meals at the cafeteria instead of eating fast food
Step-by-step explanation:
I Hope that this helps! :)
a) The variable used gives the appropriate estimate.
b) The variable used does not give the appropriate estimate.
What is Research in statistic?Statistical research is the methodical creation of enhanced or novel statistical techniques based on statistical theory and probability.
A property that can be measured and given varied values is known as a variable. Variables include things like height, age, income, province of birth, school grades, and kind of dwelling. There are two basic types of variables: category and numeric.
Given:
a) Since kids in the cafeteria probably have the same blood types as people in the United States.
So, it can be Representative.
b) As opposed to eating fast food, students may eat the majority of their meals in the cafeteria.
So, this is not representative.
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What is line LB?
Diameter
Radius
Tangent
Chord
Answer:
Chord
Step-by-step explanation:
It's a chord because if you Google the examples of all the lines, Chord looks the most like Line LB
what is the slope of a line perpendicular to the line whose equations is x-y=-3?
The slope of a line perpendicular to the line with equation x - y = -3 is -1, as perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the line perpendicular to the line whose equation is x - y = -3 can be found by first writing the equation in the slope-intercept form (y = mx + b) to determine the slope of the given line. By rearranging the given equation to y = x + 3, we can see that the slope (m) of the line is 1. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of a line perpendicular to this one would be the negative reciprocal of 1, which is -1. Therefore, the slope of the line perpendicular to the line with equation x - y = -3 is -1.
An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X. The angle at city X created by the paths of the two planes moving away from city X measures 60°. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude. A. 894 miles B. 1,058 miles C. 646 miles D. 1,251 miles
Answer:
The distance between the two airplanes (to the nearest mile) is 1058 miles.
Step-by-step explanation:
Use Law of cosines
d = √(800^2 + 1200^2 - 2·800·1200·COS(60°)) = 1058 miles
Answer:
1058
Step-by-step explanation:
Plato
The ratio of boys to girls in Ms.cunninghams class is 2 to 3. There are 18 girls in the class what is the total number in ms.cunninghams class?
Answer:
30 students
Step-by-step explanation:
18/3 = 6
6 x 2 = 12 boys
12 boys + 18 girls = 30 students
- Hope this helps! Please let me know if you would like a further explanation.
One angle of an isosceles triangle measures 50º. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
50° , 80°, 65°
the sum of the angles in a triangle is 180°
=>180-50=130
def: in an isosceles triangle two angles measure the same
case 1: if two angles measure 50°
180-2*50=80
=> angles: 50, 80
case 2: if the other 2 angles measure the same
(180-50)/2=130/2=65
=> angle: 65
for what value of x does the function y=2/3x+1 have the same x and y coordinate
Answer:
3
Step-by-step explanation:
[tex]y=\frac{2}{3}x +1[/tex]
If [tex]x[/tex] is 3, then
[tex]y =\frac{2}{3}(3) +1[/tex]
[tex]y=2+1[/tex]
[tex]y=3[/tex]
Both [tex]x[/tex] and [tex]y[/tex] equal 3. So, the value of [tex]x[/tex] must be 3 for the function to have the same coordinate for [tex]x[/tex] and [tex]y[/tex].
how would adding the score zero to this data affect the mean and median game scores
Answer:
The mean and median will change.
Step-by-step explanation:
Mean takes the sum of all the numbers and divide by the amount of numbers there are. This would add 1 to the denominator, which would decrease the total mean score, as the numerator does not change.
The Median will also change. The median is found by finding the middle number of the set. Adding 0 to the set would result in a different number being chose for the median.
~
Due to a manufacturing error, 2 cans of regular soda were accidentally filled with diet soda and placed into a24 -pack.
Suppose that two cans are randomly selected from the 24-pack. Complete parts (a) through (c).
(a) Determine the probability that both contain diet soda.
P(both diet) = (Round to four decimal places as needed.)
(b) Determine the probability that both contain regular soda.
P(both regular) = (Round to four decimal places as needed.)
Would this be unusual?
No
Yes
(c) Determine the probability that exactly one is diet and exactly one is regular.
P(one diet and one regular) = (Round to four decimal places as needed.)
Answer:
a) 1/48 or 2.0833%
b) 46/48 or 95.8333%
no it would not be unusual
c) I'm not sure sorry
A fish tank contains as many goldfish as mollies, and there are 6 more guppies than goldfish. If the total combined number of fish in the tank is 22, how many mollies are in the tank?
Answer:
8 mollies
Step-by-step explanation:
22-6=16
16/2=8 mollies
Answer:
5
Step-by-step explanation:
I need help ASAP please
Answer:
A. (2, 7), (1, 4)
Step-by-step explanation:
The first equation tells you that y cannot be negative. (Both terms are positive.) So, the only viable answer choice is A.
Sue bought 54 ft of lumber for building a window frame each window frame requires 13 1/2 feet of lumber how many window frames how many window frames can she make
Answer:
The correct answer is 4 window frames.
Step-by-step explanation:
Sue bought 54 feet of lumber for building window frame.
Each window frame requires 13 1/2 feet = [tex]\frac{27}{2}[/tex] feet of lumber.
Therefore the number of window frames Sue can make with 54 feet of lumbers she bought is given by dividing the total amount of lumber she has by the lumber it takes to make a single window frame.
= [tex]\frac{54}{27}[/tex] × 2 = 2 × 2 = 4
Thus Sue can make 4 window pane from 54 feet of lumber, each of 13 and a half feet.
Sue can make 4 window frames with the 54 feet of lumber she purchased, as each frame requires 13.5 feet.
Sue bought 54 feet of lumber to build window frames, with each window frame requiring 13.5 feet of lumber. To determine how many window frames Sue can make, we divide the total amount of lumber by the amount required for one frame.
Here's the calculation:
Start with the total amount of lumber: 54 feet.
Divide this by the amount required for one window frame: 13.5 feet.
Perform the division: 54 / 13.5 = 4.
Sue can make 4 window frames with the lumber she has purchased.
An electronic company makes educational apps for 5 subjects including math. The app has 10 versions, with a different avatar in each version. One version has an avatar that looks similar to a lion. The company is randomly giving free apps to its customers. Find the probability of randomly receiving a math app with a lion avatar. How likely is the probability of receiving the app at random?
Answer:
2%, low probability
Step-by-step explanation:
In this case we have that the avatars are distributed as follows:
5 subjects and 10 versions of the application for each subject, therefore they are a total of:
5 * 10 = 50
In total there are 50 avatars.
To know the probability that I get 1 in specific, in this case that of a lion is:
1/50 = 0.02
The probability is 2%, that is to say a really low probability, that is to say that the most probable thing is that you do not receive it.
Answer:
2%
Step-by-step explanation:
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 162 cm3.
The height of the water bottle is 7.7 cm. What is
the radius of the water bottle? Use 3.14 for It.
Answer:
21
Step-by-step explanation:
To find the area of a cylinder you mutliply radius by height.
r*h = 162
If we know the height is 7.7, substitute it for h.
r*7.7 = 162.
Or:
162 / 7.7
Which gives you 21.03, or 21.
Ms. Lindsey surveyed a random sample of students at her school to determine how they got to school. The results are shown below: ∙ 8 students walk or ride a bike ∙ 12 students ride in a car ∙ 25 students take the bus Based on the results of the survey, how many of the 900 students in 7th grade do NOT take the bus to school? Please explain I'm very confused.
2- En una habitación cuadrada de 4 m de lado se coloca una alfombra circular de 3 m de diámetro. ¿Cuál es la superficie cubierta por la alfombra? ¿Cuál es la superficie del cuarto no cubierto por la alfombra
Answer:
7.065 m ^ 2
8.935 m ^ 2
Step-by-step explanation:
The first thing is to calculate the surface of each one, that is, the area
For the room that is square, each side measures 4m, therefore:
As = 4 * 4 = 16 m ^ 2
The area of the carpet is that of a circle, that its area is the number pi times the radius squared, we know that the radius is half the diameter, therefore r = 3/2 = 1.5 m
replacing in the area formula
Ac = pi * r ^ 2 = 3.14 * 1.5 ^ 2
Ac = 7.065 m ^ 2
In other words, the area covered by the carpet is 7,065 m ^ 2 and the area not covered would be the subtraction between the area of the room minus the area of the carpet, that is:
16 m ^ 2 - 7.065 m ^ 2 = 8.935 m ^ 2
8.935 m ^ 2 would be the area that the carpet does not subside.
1. 60,000 is _____ times greater than 6,000.
2. 60,000 is _____ times greater than 600.
3. 60,000 is _____ times greater than 60.
4. 2.0 is _____ times greater than 0.2.
5. 2.0 is ______ times greater than 0.02.
6. 2.0 is _____ times greater than 0.002.
Answer:
1. 60,000 is __10_ times greater than 6,000.
2. 60,000 is __100__ times greater than 600.
3. 60,000 is _1000__ times greater than 60.
4. 2.0 is _10___ times greater than 0.2.
5. 2.0 is __100__ times greater than 0.02.
6. 2.0 is _1000___ times greater than 0.002.
Step-by-step explanation:
I mean, you can divide any number by the other number to get the answer
for example 60000/6000 = 10, or you can just count the difference in decimal points for example 60000 has 1 more 0 than 6000 so you know its 10x greater
Hermosa Menendez is employed by Chemical Industries. She has a family membership in the group preferred provider organization (PPO). The annual premium is $6,180. Her employer pays 75 percent of the premium.
Answer:
a) $4635
b) $1545
c) $29.7 per week
Step-by-step explanation:
Hermosa Menendez is employed by Chemical Industries. She has a family membership in the group preferred provider organization (PPO). The annual premium is $6,180. Her employer pays 75 percent of the premium.
a) How much does the employer pay annually
b) How much does she pay annually
c) How much is deducted each week as her weekly cost
a)
Given that:
The annual premium = $6180
Employers percent = 75% = 0.75
The money the employer pays annually = Annual premium × Employers percent = $6180 × 0.75 = $4635
b)
Since the employers percent = 0.75, her percent = 1 - 0.75 = 0.25
The money that she would pay annually = Annual premium × her percent = $6180 × 0.25 = $1545
c)
There are 52 weeks in a year.
The money she would pay weekly = money that she would pay annually / 52 weeks = $1545 / 52 weeks = $29.7 per week
Answer:
A. $ 4,635
B. $ 1,545
C. $ 29.72 (Rounding to the next cent)
Correct statement and questions:
Hermosa Menendez is employed by Chemical Industries. She has a family membership in the group preferred provider organization (PPO). The annual premium is $6,180. Her employer pays 75 percent of the premium.
a) How much does the employer pay annually
b) How much does she pay annually
c) How much is deducted each week as her weekly cost
Source:
Previous question that can be found at brainly
Step-by-step explanation:
A. The employer will pay annually the 75% of the annual premium:
6,180 * 0.75 = $ 4,635
B. Hermosa will pay annually the difference:
6,180 - 4,635 = $ 1,545
C. Hermosa will pay weekly:
1,545/52 = $ 29.72 (Rounding to the next cent)
In a follow-up obedience experiment, Stanley Milgram used 40 new teachers to determine whether participants obeyed because the learners' protests were not convincing. The new teachers complied fully, to the last switch, _____ percent of the time.
Answer: 65
Step-by-step explanation:
participants obeyed because the learners' protests were not convincing. The new teachers complied fully, to the last switch, 65 percent of the time.
3(n+2)=9(6-n)
help me please
Answer:
n=4
Step-by-step explanation:
3n+6 = 54-9n
3n+9n = 54 - 6
12n = 48
n=4
Answer:
4
Step-by-step explanation:
3n+6=54-9n
3n+9n=54-6
12n=48
n=48/12
n=4
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