Answer:
The answer to your question is m/s which is the A
Answer:
m/s is the answer
Step-by-step explanation:
because
velocity = displacement/time =meter/second
that is m/s
Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.
Answer:
1.429 lbs per dollar of sugar
Step-by-step explanation:
multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up
Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.
Sugar per dollarYou can find out the quantity of sugar you get per dollar using the formula:
= Price of sugar / Number of pounds
Solving gives
= 1.40 / 2
= 0.7 pounds
In conclusion, you get 0.7 pounds.
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d(n) = 6 - 4(n - 1) find the 5th term in the sequence
d(n) = 6 - 4(n - 1)
Plug 5 into the equation for n.
d(5) = 6 - 4(5 - 1)
Subtract 1 from 5
d(5) = 6 - 4(4)
Multiply 4 by 4
d(5) = 6 - 16
Simplify the right side
d(5) = -10
The fifth term in the sequence is -10
The 5th term of the sequence is -10.
What is a sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given is a sequence, d(n) = 6 - 4(n - 1)
To find the 5th term, put n = 5
d(5) = 6-4(5-1)
= 6-4×4
= 6-16
= -10
Hence, the 5th term of the sequence is -10.
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A freight and passenger train share the same track. The average speed of the freight train is 45 mph, whereas that of the passenger train is 70 mph. The passenger train is scheduled to leave 20 minutes after the freight train departs from the same station. Determine the location where a siding would need to be provided to allow the passenger train to pass the freight train. Also determine the time it takes for the freight train to arrive at the siding. As a safety precaution, the separation headway between the two trains at the siding should be at least equal to 6 minutes.
Answer:
The first siding should be located at 30 miles
The time for the freight to arrive at the siding is 40 minutes
Step-by-step explanation:
From the given information:
Let [tex]T_f[/tex] represent the time for the freight train
Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location
Let Y represents the location where the location of the siding of the track needed to take place.
Thus, for freight time:
[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]
The siding location is:
[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]
[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]
To determine Y:
[tex]T_P -T_f = 0.1 --- (3)[/tex]
replacing the value of [tex]T_f[/tex] and [tex]T_P[/tex] in the above equation (3), we have:
[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]
collecting like terms, we have:
[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]
[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]
[tex]\dfrac{-25Y}{3150} =-0.233[/tex]
- 25Y = -0.233 × 3150
- 25Y = -733.95
Y = -733.95/-25
Y = 29.36 miles
Y [tex]\simeq[/tex] 30 miles to the nearest whole number
Thus, the first siding should be located at 30 miles
To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).
Then, we have:
[tex]T_f = \dfrac{Y}{45}[/tex]
[tex]T_f = \dfrac{30}{45}[/tex]
[tex]T_f =0.667\ hr[/tex]
[tex]T_f =(0.667 \times 60 )minutes[/tex]
[tex]T_f =40.2 \ minutes[/tex]
[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]
Thus, the time for the freight to arrive at the siding is 40 minutes
Vishal was interested in the relationship between a person's age and their musical preferences. He called all
the numbers listed in his city's telephone directory, and whenever someone answered and agreed to be
surveyed, he asked them for their age and interviewed them about their musical preferences.
Once he was done, he analyzed his results and found that younger people prefer pop and hip-hop music
while older people prefer jazz and classical music.
What type of statistical study did Vishal use?
Choose 1 answer:
Sample study
Experiment
Observational study
Answer:
Sample study
Step-by-step explanation:
Sample study is a type of statistical study that is done by taking samples from respondents for any research purpose.
In this type of statistical study, a group of people are selected and asked some questions or data collected.
The type of statistical study that Vishal used was Sample Study because he collected data from a group of respondents to arrive at a hypothesis.
Vishal study of relationship between people's age & musical preferences is 'Observational Statistical Study'
Given : Vishal approached all people in city, enquired willing ones about age & musical preferences, & analysed conclusion thereafter.
Vishal used Observational Statistical Study, as :
Sample study denotes - component step of choosing few representatives ie sample units from all ie population units. It is a part of all statistical studies, & not a type of study in itself. Observational Study - involves studying the sample units in natural uncontrolled or un intervened setup , based on the variable/ traits or relationship study needed by nature of study. Experimental Study - involves studying & analysing variables traits or relationships, in manipulated, controlled or artificially treated experiment setup.Vishal collects sample from his city & studies them as it is, without any artificial intervention. Hence this natural enquiry based study of age & musical preferences is Observational Study
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An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards. (a) What is the probability that all four cards are sevens. (b) What is the probability that at least one of the cards is a seven. (c) What is the probability that none of them are seven. (d) What is the probability that two out the four cards is a seven
Answer:
a) The probability of getting a seven is 4/52
b) At least one of the cards is a seven=0.2813
c) The probability that none of them are seven= 0.7187
d) The probability that two out the four cards is a seven= 0.043
Step-by-step explanation:
A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.
a) The probability of getting a seven is 4/52=0.0769
b) At least one of the cards is a seven=
1- P(no seven)
= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813
c) The probability that none of them are seven=4C0 * 48C4/ 52C4= 0.7187
d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven
= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043
Find the range of the given data set.
-4, -3, -1, -1, 0, 1
Answer:
5
Step-by-step explanation:
To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Michael spent $18 at a local farmers’ market. Apples cost $2 each and peppers cost $3 each. Select the equation that represents the scenario. O) p = 2a + 3a + 18 O) 2a + 3a = 18p O) 2p + 3a = 18 O) 2a + 3p = 18
Answer:
its B, C and E
Step-by-step explanation:
on edge
Answer:
2a + 3p = 18
Step-by-step explanation:
The total has to equal 18 so then you have $2 and $3. Apples cost $2 so the 2 should have an a for Apples. The peppers cost $3 so the 3 should have a p for peppers. So the equation would be 2a + 3p = 18.
Find the value of x.
Answer:
x=20°
Step-by-step explanation:
This is actually simpler than it seems. Try redrawing (or maybe just imagine) that the only inscribed angle is x with the two lines going to the 40°. If we let 40°=θ, then: x=θ/2
This is actually true for any situation with inscribed angles, so you could use this to find w, y, and z as well.
Anyways x=(40°)/2=20°, so x=20°
which sign makes the statement true?
Answer:
Less than sign
Step-by-step explanation:
3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%
1. Set A represents rational numbers. Set B represents integers. Which diagram shows
the numbers placed in the correct
sets?
Set A
Set A
1.5
1
10
3
3.1
С
Set B
Set B
-12
Set A
Set A
7.1
10
2
win
mi
B
D
Set B
Set B
-3.4
-6.8
Answer: Choice C) Upper right corner (aka northeast corner)
====================================================
Explanation:
Rational numbers are ones where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.
Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.
Of the four answer choices, only choice C is correct.
Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.
Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.
please show work 3[x+4]+4x= -2
Answer:
x=-2
Step-by-step explanation:
3[x+4]+4x=-2
The 3 multiplies x and 4
3x+12+4x=-2
Group like terms
3x+4x=-2-12
7x=-14
Divide through by 7
7x/7=-14/7
x=-2
Find a2 and a3. a1=–5 an=6an–1 Write your answers as integers or fractions in simplest form. a2= a3=
The value of a2 and a3 given the formula an = 6an – 1 are -61 and -91 to respectively
Given:
an = 6an – 1
where,
a1, = first term= -5
n = number of terms
a2 = second term
a3 = third term
an = 6an – 1
a2 = (6 × -5 × 2) - 1
= (-60) - 1
= -60 - 1
a2 = - 61
an = 6an – 1
a3 = (6 × -5 × 3) - 1
= -90 - 1
a3 = -91
Therefore, the value of a2 and a3 are -61 and -91 respectively
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There are 868 males students and
1,187 female students at Ferris
High School. How may more female
students are there than male
students? Show your work.
does rational numbers, irrational numbers, integers or whole numbers have the fewest numbers
Answer:
Whole Numbers
Step-by-step explanation:
whole numbers are just the counting numbers starting from zero: 0,1,2,3...
integers are whole numbers with negatives: ...-3,-2,-1,0,1,2,3...
rational numbers are any numbers that can be expressed as fractions:
2/3, 5, -3, -12/3,4,5,0....
irrational number are numbers that can't be expressed as fractions, which means that they are never-ending decimals.
Hope this helps!
Afish is swimming 102 feet below the surface of the water i fer descents another 125 What subtraction expression can be used to find the new postiosoittee What is the position of the fish in relation to the surface of the state
Order the following from least to greatest. 0.208, 0.0769, 0.546, 0.317, 0.00998
what value of x the given expression is undefined x+4/x-4
Answer:
At x= 4 the given expression is undefined.
Step-by-step explanation:
In a given function , if the denominator becomes zero then the function is undefined.
Here, denominator is x-4 so at x = 4 it will become zero. So we can say that at x=4 , the function is undefined
Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S?
Answer:<AQS BQS WHEN AS =BS AND AQ = BQ
Step-by-step explanation:
Answer: AQS BQS WHEN AS =BS AND AQ = BQ
Step-by-step explanation:
Took the test!
An employment agency sells its services to companies
How would you write an explanation for a, b, and c? Mississipi is the data point on the upper left that is an outlier
Step-by-step explanation:
a. Your answer is correct. The trend is that obesity rate increases with the number of fast food restaurants per capita. Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend. It is an outlier in terms of the relationship.
b. The number of restaurants per capita is between 2 and 6 for most states. Mississippi's number of restaurants per capita is within this range, so it is not an outlier.
c. The obesity rate is between 22 and 38 for most states. Mississippi's obesity rate is within this range, so it is not an outlier.
To draw graph of 4x + 5y = 19, Find y when x = 1
Help me with this questions please, brainiest reward
Answer:
theres no questions
Step-by-step explanation:
Solve for x and check: 1/2x - 3 =25
Answer:
14
Step-by-step explanation:
Step 1:
1/2x - 3 = 25
Step 2:
1/2x = 28
Answer:
x = 14
Hope This Helps :)
Which of the following describes the quotient of 3 and -21? A. The quotient is undefined. B. The quotient is an integer. C. The quotient is a rational number. D. The quotient is an irrational number.
Answer:
pretty sure its B. The quotient is an integer
Step-by-step explanation:
7/8 + (-3/4) + (-7/-8)+ 3/4
Answer:
1.75 or 1 3/4
Step-by-step explanation:
7/8 + (-3/4) + (-7/ -8)+ 3/4
Simplify
7/8 -3/4 -7/-8 +3/4
We can get rid of -3/4 + 3/4, because together they = 0.
7/8 - 7/-8
So then we divide and subtract and get
1.75 or 1 3/4
Solve for x. 9x=288
Answer:
x = 32
Step-by-step explanation:
9x=288
divde both side by 9
Which equation represents the function described by this table?
f(x)=x+7
f(x)=x−7
f(x)=7x
f(x)=−7x
Answer:
F(x)=x+7 the answer is A
Step-by-step explanation:
You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)
How do you solve 3(2×+5)-(4×_9)
Answer: 3(2×+5)-(4×9) = -15
Step-by-step explanation:
Andy is hanging wallpaper
Answer:
Mandy is painting the wall
Find the unknown angles.
Step-by-step explanation:
70°+70°+a°=180°
a°=180°-140°
a°=40°
p°=70° (vertically opposite angle)
q°=70°(alternate interior angles)
hope it helps