Answer:
Step-by-step explanation:
v=<3,-1>
[tex]||v||=\sqrt{x^{2} +y^{2} } \\\sqrt{(3)^{2}+(-1)^{2} } \\\sqrt{9+1} =\sqrt{10} \\u=\frac{1}{||v||} *v\\u=\frac{1}{\sqrt{10} } *<3,-1>\\u=<\frac{3}{\sqrt{10} } ,-\frac{1}{\sqrt{10} } >\\[/tex]
What is the constant of proportionality 7=7.26x
9514 1404 393
Answer:
7.26
Step-by-step explanation:
If your equation is ...
y = 7.26x
the coefficient of x is the constant of proportionality. It is 7.26.
Since starting a new recycling plan, Aaron's office recycles 7 kilograms of paper each week,
How many weeks will it take Aaron's office to recycle a total of 28 kilograms of paper?
Answer: 4 weeks
Step-by-step explanation: 28 divided by 7 is 4.
is -12.5 greater than -12? will brainlist
Answer:
No
Step-by-step explanation:
negative numbers work the opposite of how positive numbers work. Think about it like this. -12 is 12 units less than 0 and -12.5 is 12.5 units less than 0 which means that -12.5 is less than -12
The employment status (employed or unemployed) of each individual in the U.S. workforce is a set of data that is of interest to economists, businesspeople, and sociologists. To obtain information about the employment status of the workforce, the U.S. Bureau of the Census conducts what is known as the Current Population Survey. Each month interviewers visit about 59,000 of the 98 million households in the United States and question the occupants over 14 years of age about their employment status. Their responses enable the Bureau of the Census to estimate the percentage of people in the labor force who are unemployed (the unemployment rate).
Question Completion:
(a) Identify the experimental unit.
(b) Define the population of interest to the Census Bureau.
(c) Identify the sample.
(d) What variable is being measured? Is it quantitative or qualitative?
(e) Describe the statistical inference that the economists intend to make.
Answer:
a. The experimental unit is the households visited.
b. The population of interest to the Census Bureau is all US-based individuals aged 14 and above.
c. The sample is 59,000 households.
d. The variable under measure is quantitative (percentage estimate of people in the labor force who are unemployed).
e. The economists want to make a statistical inference of the unemployed population based on the sample data analysis that they conduct.
Step-by-step explanation:
a) Data and Calculation:
Population of interest = 98 million households
Sample from population = 59,000 households
b) The unemployment rate is the percentage of the total workforce of a country that is unemployed and who may be actively seeking employment at a particular period. This implies that the unemployment rate may include persons who are active members of the workforce but may be underemployed.
Write an equation of the line that passes through (5, −1) and is perpendicular to the line y=12x−1.
Step-by-step explanation:
solution
let,A(5,-1)
given
y=12x-1
or, y = 12 × x + (-1)
comparing it with y=mx+c
we get
x=1
y = c = -1
now
A(5,-1) and B(1,-1)
equation of line is,
(y-y1)/(x-x1) = (y2-y1)/(x2-x1)
or, (y+1)/(x-5) = (-1+1)/(1-5)
or, (y+1)/(x-5) = 0/-4
cross multiply
-4y-4 = 0
or, 0=4y+4
or, 4y+4=0 is the required eqn
I think this is the process and answer too.
I hope this helps you
a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?
Answer:
Velocity of plane is 100 mi/hr along northeast direction
Step-by-step explanation:
From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction
since the velocity of wind and plane is exactly opposite
⇒ relative velocity of plane with respect to wind is given by
[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr
Therefore, [tex]v_r_e_l = v_p - v_w[/tex] = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction
Therefore, velocity of plane is 100 mi/hr along northeast direction
By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.
Working with the velocity vectors:
First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.
We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.
Then the x-component of the velocity is: 150mi/hr*cos(-10°) = 147.7 mi/hrThe y-component of the velocity is: 150mi/hr*sin(-10°) = -26 mi/hr.
So the vector is:
V = < 147.7 mi/hr, -26 mi/hr >
Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:
x-component: 50mi/hr*cos(225°) = -35.4 mi/hry-component: 50mi/hr*sin(225°) = -35.4 mi/hr.So the vector is:
W = < -35.4 mi/hr, -35.4 mi/hr>
The sum of the vectors gives the total velocity of the plane in the wind, we will get:
V + W = < 147.7 mi/hr -35.4 mi/hr , -26 mi/hr -35.4 mi/hr >
V + W = <112.3 mi/hr, -61.4 mi/hr>
The direction of a vector <x, y> is given by:
θ = Atan(y/x)
Then in this case the direction of the plane is:
θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°
So the direction of the plane is 28.7° south of east.
If you want to learn more about vectors, you can read:
https://brainly.com/question/17108011
I’ll pay if you help me I don’t understand this
Answer:
See Explanation
Step-by-step explanation:
Both vertical lines are parallel to each other. (given)
Similarly, both horizontal lines are also parallel to each other.. (given)
So, quadrilateral obtained by the intersection of both vertical and horizontal lines is a rectangle.
Therefore,
[tex] \angle 7 \cong \angle 6... (1)[/tex]
(corresponding angles)
[tex] \angle 6 \cong \angle 5... (2)[/tex]
(corresponding angles)
From equations (1) & (2)
[tex] \angle 7 \cong \angle 5... (3)[/tex]
(By Transitivity)
[tex] \angle 5 \cong \angle 10... (4)[/tex]
(vertical angles)
From equations (3) & (4)
[tex]\huge \purple {\boxed {\angle 7 \cong \angle 10}} [/tex]
(By Transitivity)
There are several other ways to prove it as well.
What property does the following equation show? 5+7+9=7+5+9
Answer: it’s commutative property.
Step-by-step explanation: commutative property is when you switch numbers but the answer still stays the same. Hope this helped!
Dan makes 11 1/7 cups of snack mix he puts all the snack mix into a plastic bags he puts 3/7 cups of the snack mix in each bag how many plastic bags does dad need
Answer:
23 bags
Step-by-step explanation:
Answer: 23
Step by step explanation:
give the slope of a line parallel to the given line.
Answer:
1/4
Step-by-step explanation:
in parallel lines, the slope is the same, the y-intercept is the one that changes
Evaluate [(40 + 5) - 3^2]= 9•2
Answer:
thw answer is 8
Step-by-step explanation:
hoped I helped
Answer For the question:
8
louisa starts training for cross country she records how far she can run without stopping each week. what is the equation of the trend line that models the data? if she trains for 4 more weeks how far will she be able to run without stopping
Answer:
c
Step-by-step explanation:
Mr. Gary wrote the sequence below on the board.
10,5, 0, -5, -10
Identify the value of aj and complete the recursive rule for Mr. Gary's sequence.
aj =
an = an-1
Choices :
0,5,0,-5,-10
Answer:
a₁ = 10aₙ = aₙ₋₁ - 5Step-by-step explanation:
Given the sequence:
10, 5, 0, -5, -10The first term is 10 and the common difference is -5
The recursive formula for the given sequence is:
a₁ = 10aₙ = aₙ₋₁ - 5In the figure, solve for x and y.
Answer:
y=124°
x=67°
Step-by-step explanation:
For the triangle on the right
180-74-50=56°
then y= 180-56=124°
For the triangle on the middle (that small triangle)
180-85(Head opposite angles)-50=45°
So
x=180-45-68=67°
t+50=130 so wat is t
Chang needs 245 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains 37 programs?
Are the following lines are parallel, perpendicular,or neither
Answer:
perpendicular
Step-by-step explanation:
This question only asks about the slope of the line, so the intercept doesn't matter. You can see that the slope of one line is 3x and the other is -3x so they're perpendicular
3/4 + -3/8 + -1/4=?
Evaluate the expression
Answer: -1/8
Step-by-step explanation:
3/4 + -3/8 + -1/4
Find the LCM of 4, 8, and 4
That's 8 so you make an equivalent fraction for all fractions so the denominator is 8.
3/4 = 6/8
-3/8 = -3/8
-1/4 = -4/8
Now the expression looks like this:
6/8 + - 3/8 + -4/8
6/8 - 3/8 - 4/8
6/8 - 7/8
-1/8
Hope that helped!
In RST , if RT ST , mR = (9x + 2)°, mS = (13x – 18)°, and mT = (17x + 1)°, find x and the
measure of each angle.
Answer:
x = 5
<R = 47 degrees
<S = 47 degrees
<T = 86 degrees
Step-by-step explanation:
The sum of angles in a triangle is 180degrees
Given triangle RST
<R + <S + <T = 180
9x + 2 + 13x - 18 + 17x +1 = 180
39x - 15 = 180
39x = 180 + 15
39x = 195
x = 195/39
x = 5
Get <R
<R = 9x + 2
<R = 9(5) + 2
<R = 47 degrees
Get <S
<S = 13x-18
<S = 13(5) - 18
<S = 65-18
<S = 47 degrees
Get <T
<T = 17x + 1
<T = 17(5)+1
<T = 85+1
<T = 86 degrees
PLEASE HELP ASAP!!! TIMED
The graph below represents the amount of water measured in a swimming pool as a function of time.?
As time increases, the amount of water in the pool increases.
As time decreases, the amount of water in the pool decreases.
As time increases, the amount of water in the pool decreases.
As time decreases, the amount of water in the pool increases.
Answer:
As time increases, the amount of water in the pool decreases.
Step-by-step explanation:
Please help please
53
97
What is the measure of angle x?
o 44 degrees
o 180 degrees
• 30 degrees
150 degrees
Answer:
30 degrees
Step-by-step explanation:
53+97=150
180-150=30
solve 9m – 4 = -3m + 5 + 12m
Answer:
There are no solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
9m−4=−3m+5+12m
Step 1: Simplify both sides of the equation.
9m−4=−3m+5+12m
9m+−4=−3m+5+12m
9m−4=(−3m+12m)+(5)(Combine Like Terms)
9m−4=9m+5
9m−4=9m+5
Step 2: Subtract 9m from both sides.
9m−4−9m=9m+5−9m
−4=5
Step 3: Add 4 to both sides.
−4+4=5+4
0=9
Answer:
Its no solution
Step-by-step explanation:
1)Combine like terms
2)Letters with numbers in one side and only Number on the other side
3)Solve
9m – 4 = -3m + 5 + 12m
9m-4=9m+5
9m-9m=4+5
0=9
***Hope this Helps***
***Have a wonderful day***
PLEASE HURRY ! Find the length of BC.
Answer:
the length of BC is 9.
x=9
Answer:
here is your answer.....
the length of BC is 9
ANSWER:OPTION C
(EASY) For Brainliest Please help)
Find the numbers if-
A) 0.6of it is 30
B)1.5 of it is30
C)1.6 of it is 32
Answer:
(A) 18
(B) 45
(C) 51.2
Step-by-step explanation:
(A, 0.6 of 30) We need to find out 0.1 of 30 so we divide 30 by 10 which gives us 3. This means that 0.1 of 30 is 3. Since we know that, we multiply 3 by 6 which gives us 18.
(B, 1.5 of 30) Since we figured out that 0.1 of 30 is 3 on the first question, we can multiply 3 by 15 which gives us 45.
(C. 1.6 of 32) We need to find out 0.1 of 32 so we divide 32 by 10 which gives us 3.2. Now, we divide 3.2 by 16 which gives us 51.2.
I really hope that you understand. Also, I didn't really understand the question so I kind of guessed what the question was. But the answers are 99% accurate. The 1% is that I might have gotten the equations wrong.
Answer: go look onto all of my questions. And you’ll find. The answer(sss) atleast most of them
Step-by-step explanation:
Solve the equation.
5х +8 - 3x = -10
ox = -9
ox = -1
ox = 1
ox = 9
WILL GIVE BRAINLIEST PLEASE HELP ASAP
What is the value of x?
Enter your answer in the box.
x =
Answer:
x= -5
Step-by-step explanation:
its kinda complex, i don't know if my answer is right but i think it has to do with propertions
if its right can i have brainliest
4^(x-1)+4^(x)+4^(x-1)=84
Answer:
7.66
Step-by-step explanation:
Just open the parenthesis.
4x-4+4x+4x-4=84
Now simplify and solve
12x-8=84
12x=92
x= 7.66
is social media company conducted research on the number of our high school students are on social media and the hours of leaf they receive based on the scatterplot in the image what is the best prediction of the number of hours a high school school student sleeps when he spends 1 hour and social media
Answer:
8.5 hours
Step-by-step explanation:
Draw a line of best fit to predict
Which undefined term is used to define an angel
answer- undefined term is used to define an angle
Search instead for Which undefined term is used to define an angel
From the term line the term angle can be defined because when two lines intersect at a point an angle is formed. ... Therefore, the undefined term which is used to define the term an angle is line.
Step-by-step explanation:
Answer: line
Step-by-step explanation: In geometry, the three terms which are
considered to be undefined is line, point and plane.