Answer: A
Step-by-step explanation:
Car B was 10 miles east of car A.
What is speed?The rate of change of position of an object in any direction is called speed.
What is the relation between speed, distance and time?[tex]speed = \frac{distance}{time}[/tex]
According to the given question
Speed of car A was 60 miles/hour.
⇒ After 2hours the distance covered by car A = 60 × 2 = 120 miles.
But it is given that car travelled total 130 miles.
So, the extra distance covered by the car = 130 - 120 = 10 miles.
From the graph we can say that the distance.
At, Time = 0
The distance travelled by car B is 20 miles.
Now, the extra distance covered by the car A w.r.t B = 20 - 10 = 10 miles
Since, both the cars were travelling in east direction.
Therefore, Car B was 10 miles east of car A.
Find out more information about speed distance and time here:
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If the sum of two consecutive even integers ‘a’ and ‘b’ is k, what is the sum of the next two consecutive integers greater than ‘b’ in terms of k?
Answer:
We have two consecutive even integers:
a and b.
We know that we can write a even integer as:
a = 2*n
where n is an integer.
Then the consecutive integer to a, b, will be:
b = 2*n + 2.
Then the sum of a and b is:
a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.
The next two consecutive integers greater than b will be:
c = 2n + 4
d = 2n + 6
then:
c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.
Compare theâ z-scores to decide which of the followingâ x-values lie the greatest distance above the mean and the greatest distance below the mean. a. x=â100, μ=â50, Ï=25 b. x=â1, μ=â4, Ï=1 c. x=â0, μ=â200, Ï=100 d. x=â10, μ=â5, Ï=3 a. Theâ z-score is 22. â(Type an integer or decimal rounded to two decimal places asâ needed.) b. Theâ z-score is negative 3â3. â(Type an integer or decimal rounded to two decimal places asâ needed.) c. Theâ z-score is negative 2â2. â(Type an integer or decimal rounded to two decimal places asâ needed.) d. Theâ z-score is 1.671.67. â(Type an integer or decimal rounded to two decimal places asâ needed.) Theâ x-value that lies the greatest distance above the mean is the value from part â¼ and theâ x-value that lies the greatest distance below the mean is the value from
Simplify.
(x6y3)−2x−5y−8
Answer:
18xy-2x-5y-8
Step-by-step explanation:
Просто умножьте,то что было в скобках
Juan is considering two gym membership options. Gym A charges an enrollment fee of $250 plus $19 per month. Gym B charges an enrollment fee of $195 plus $24 per month. When will both gym memberships cost the same?
Answer:
No Gym A cost $30 more dollars than Gym B.
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is yards, what are its dimensions 76
Answer:
The length is 25.3 yards, while the width is 12.7 yards.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(l + w)
where l is its length and w the width.
Given that:
perimeter = 76 yards
It is twice as long as its wide, length = 2w
width = w
Then,
P = 2(l + w)
76 = 2(2w + w)
divide through by 2, to have;
38 = 2w + w
38 = 3w
⇒ w = 12.67 yards
Thus,
length = 2w = 2 x 12.67 = 25.34 yards
The length is 25.3 yards, while the width is 12.7 yards.
Evaluate 4
M-n if m= -7 and n = 2.
Answer:
-9
Step-by-step explanation:
Find the slope of the line from two given points: (12,-18) and (-15,-18)
Answer:
The answer is 0
Step-by-step explanation:
use the slope formula!
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
12 is xsub1
-18 is ysub1
-15 is xsub2
-18 is ysub2
now solve!
[tex]m= \frac{-18-(-18)}{-15-(12)}\\=\frac{0}{3} \\=0[/tex]
slope is 0.
hope this helps!
Answer:
The slope of the line is 0. It's a horizontal line.
Step-by-step explanation:
Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (12,-18) (-15,-18).
Calculate the slope:
[tex]\displaystyle m=\frac{-18-(-18)}{-15-12}[/tex]
[tex]\displaystyle m=\frac{-18+18}{-27}[/tex]
[tex]\displaystyle m=\frac{0}{-27}=0[/tex]
The slope of the line is 0. It's a horizontal line.
2) The midpoint of the line segment between: (10,- 11) and (-8, -5) is:
Answer: (1, -8)
M = x1 + ×2 / 2 & y1 + y2 / 2
x1 = 10, y1 = -11 x2 = -8 y2 = -5
M = 10 + (-8) / 2 & -11 + (-5) / 2
Answer = 1, -8
Find the 8th term of the geometric sequence 4, -12, 36, ...
Answer:
-8748
Step-by-step explanation:
Each number you are multiplying by -3
Which of the following is the value of PQ ?
Helllp please
Answer:
B. 61
Step-by-step explanation:
Given that ∆PQR and PQS are congruent, it follows that their corresponding sides are of the same length.
Therefore,
[tex] RQ = SQ [/tex]
[tex] 3x + 16 = 7x - 24 [/tex]
Collect like terms
[tex] 16 + 24 = 7x - 3x [/tex]
[tex] 40 = 4x [/tex]
Divide both sides by 4
[tex] \frac{40}{4} = \frac{4x}{4} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
Find PQ:
[tex] PQ = 2x + 41 [/tex]
substitute x = 10 into the equation
[tex] PQ = 2(10) + 41 [/tex]
[tex] PQ = 20 + 41 [/tex]
[tex] PQ = 61 [/tex]
0.007 divided by 10 equivalent to 0.07
Does 0.007/10=0.07
true or false?
Answer:
NO if you wanted to get 0.07 you would have to multiply not divide.
Step-by-step explanation:
0.007/10=0.0007
How do you do this question?
Answer:
14/29
Step-by-step explanation:
Simply substitute 5 for n.
a₅ = (5 + 9) / (5×5 + 4)
a₅ = 14 / 29
Amanda is 25 years old. In 5 years time she will be twice as old as Simone.how old is Simone ?
Answer:
15 years old.
Step-by-step explanation:
Amanda is currently 25 years old.
In 5 years of time, she will be twice as old as Simone.
25+5=30.
30/2=15.
Thus, Simone is 15 years old.
If you horizontally shift the linear parent function f(x)=x left two units what is the equation of the new function?
Answer:
This is a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative.
Step-by-step explanation:
What is f(5) for the function f(x) = 2x+4
Answer: 1/2 half
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
f(5) you plug in 5 as x
2(5)+4
2×5=10
10+4=14
The thickness of a single sheet of paper is about 0.00005 meters. Express this number in scientific notation.
Answer:
5* 10^(-5)m is the scientific notation of 0.00005m.
The order in which to perform operations when simplifying an expressions with more than one operation
Answer:
First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.
Step-by-step explanation:
A company in Maryland has developed a device that can be attached to car engines, which it believes will increase the miles per gallon that cars will get. The owners are interested in estimating the difference between mean mpg for cars using the device versus those that are not using the device. The following data represent the mpg for random independent samples of cars from each population. The variances are assumed equal and the populations normally distributed. With Device Without Device 22.6 26.9 23.4 24.4 28.4 20.8 29.0 20.8 29.3 20.2 20.0 26.0 28.1 25.6 Given this data, what is the observed value of the test statistic for the difference in mean mpg? About 0.72 About 2.18 About 25.45 mpg None of the above
Answer:
About 0.72
Step-by-step explanation:
Given the data:
With device : 22.6, 23.4, 28.4, 29, 29.3, 20.0
Without device :26.9, 24.4, 20.8, 20.8, 20.2, 26.0, 28.1, 25.6
Using calculator:
With device data:
Sample size (n1) = 6
Degree of freedom (df1) = 6 - 1 = 5
Mean(m1) = 25.45
Variance (s²1) = 15.631
Without device data:
Sample size (n2) = 8
Degree of freedom (df2) = n - 1 = 7
Mean (m2) = 24.1
Variance (s²2) = 9.54
s²t = ((df1/(df1 + df2)) * s²1) + ((df2/(df1 + df2)) * s²2)
s²t = ((5/(5+7)*15.63) + ((7/(5+7))*9.54)
= ((5/12) * 15.63) + ((7/12) * 9.54) = 12.0775
s²m1 = s²t/n1 = 12.0775/6 = 2.0123
s²m2 = s²t/n2 = 12.0775/8 = 1.511
T - statistic :
Tstat = (m1 - m2)/√(s²m1 + s²m2)
Tstat = (25.45 - 24.10) / √(2.0123 + 1.511)
Tstat= 1.350/√3.5233
Tstat = 1.350 / 1.8770455
Tstat = 0.7192153 = 0.72
In this exercise we want to use the knowledge of statistics and probability to calculate the statistical test that counts:
[tex]0.72[/tex]
First, we have to separate the data informed in the text and analyze it, like this:
With device : [tex][22.6, 23.4, 28.4, 29, 29.3, 20.0][/tex] Without device : [tex][26.9, 24.4, 20.8, 20.8, 20.2, 26.0, 28.1, 25.6][/tex]
Now doing with the device data calculations, we will find that:
Sample size ([tex]n_1[/tex]) = 6 Degree of freedom ([tex]df_1[/tex]) = 5 Mean ([tex]m_1[/tex]) = 25.45 Variance ([tex]s^2_1[/tex]) = 15.631
Now doing without device data calculations, we will find that:
Sample size ([tex]n_2[/tex]) = 8 Degree of freedom ([tex]df_2[/tex]) = 7 Mean ([tex]m_2[/tex]) = 24.1 Variance ([tex]s^2_2[/tex]) = 9.54
So to calculate the variance of the population we will use the data given above:
[tex]s~2t = ((df_1/(df_1 + df_2)) * s^2_1) + ((df_2/(df_1 + df_2)) * s^2_2)\\s^2t = ((5/(5+7)*15.63) + ((7/(5+7))*9.54)\\= ((5/12) * 15.63) + ((7/12) * 9.54) = 12.0775\\s^2m_1 = s^2t/n_1 = 12.0775/6 = 2.0123\\s^2m_2 = s^2t/n_2 = 12.0775/8 = 1.511[/tex]
For the calculation of the statistical test, we found that:
[tex]Tstat = (m_1 - m_2)/\sqrt{(s^2m_1 + s^2m_2)} \\Tstat = (25.45 - 24.10) / \sqrt{(2.0123 + 1.511)} \\Tstat= 1.350/\sqrt{3.5233} \\Tstat = 1.350 / 1.8770455\\Tstat = 0.7192153 = 0.72[/tex]
See more about statistics at brainly.com/question/10951564
Solve for n.
4n + 7 = 19
n =
If 21 hours are worked, what are the total earnings?
*
2 points
HOURS WORKED
3
7
15
24
30
TOTAL EARNINGS
$46.50
$108.50
?
$372.00
$465.00
Nour answer
The
Yes
Answer:
232.50
Step-by-step explanation:
46.50÷3=15.5
15.5 is your money per hour/s
15.5x15=232.50
PLZ HELP REALLY FAST
What is the equation of the line that passes through the point (−8,7) and has a slope of 0?
Step-by-step explanation:
formula = y - y1 = m2 ( x - x1)
y - 7 = 0 ( x - (-8))
y - 7 = 0
y = 7
Which point on the number line represents 30%?
Answer:
Point S
Step-by-step explanation:
30% can be rewritten as 0.30, which happens to be where point s falls, on the third mark between 0 and 1.
Answer: T
Step-by-step explanation:
Idk if this is true but if you're looking for 30% on one, you'd want to count the total amount of spikes before number one. There are 10, so you can probably infer that 30% of 10 is 3, making it T.
The sum of two integers is 5. Their difference is 3. What are
the two integers?
A
4 and 1
B -1 and 3
С
- 7 and 12
6 and 1
I need help, please
Answer:
2
Step-by-step explanation:
1+1=2
What is the slope of a line parallel to the line whose equation is 6x - y = 1. Fully
reduce your answer.
On the blueprint of a house,42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its length on the blueprint?
Answer:
26.25 millimeters
Step-by-step explanation:
i think
PLEASE HELP
ILL GIVE BRAINLIEST
Answer:
4x times 5 k
Step-by-step explanation:
Uh, uh, uh, uh
Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
consider the equation a(4-x) = -3x+b. What values of a and b make the solution of the equation x = -5?
a=
b=
choices-
9. 7. 6. 5. 1. 0. -1. -5. -6. -7. -9
y’all please help asap
Answer:
b=−ax+4a+3x
a= b−3x −x+4
Step-by-step explanation:
The values of a and b make the solution of the equation x = -5 are 1 and -6
How to determine the values of a and b?The equation is given as:
a(4-x) = -3x+b
When x = -5, we have:
a(4+5) = -3(-5)+b
Evaluate the products
9a = 15 + b
Set a = 1
9(1) = 15 + b
Make b the subject
b = 9 - 15
b = -6
Hence, the values of a and b make the solution of the equation x = -5 are 1 and -6
Read more about equations at:
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