Answer:
b > - 5/1Step-by-step explanation:
The statement
Twice the difference of a number and 8 is written as
2( b - 8)
The expression is greater than - 21 so we represent it by the > sign
So we have
2( b - 8) > - 21
Expand
2b - 16 > - 21
2b > - 21 + 16
2b > - 5
Divide both sides by 2
b > - 5/2Hope this helps you
find the equation of the line
Answer: y=1/2x
Step-by-step explanation:
The equation we can use is slope-intercept form. The formula is y=mx+b. The m represents the slope, and b is the y-intercept. The line passes through the y-axis at (0,0). therefore, the y-intercept is 0.
To find the slope, we can take any two points and use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for slope. Let's use (2,1) and (4,2).
[tex]m=\frac{2-1}{4-2} =\frac{1}{2}[/tex]
The slope is 1/2. Our equation is y=1/2x+0 or y=1/2x.
Answer:
y=1/2x+0
Step-by-step explanation:
slope : 1/2
y=mx+b is the equation
y-intercept is 0 therefore the equation becomes:
y=1/2x+0
Please answer this question fast in two minutes
Answer:
4
Step-by-step explanation:
Angle 2 and angle 4 are vertically opposite angles.
Vertically opposite angles are equal.
Answer:
the angle that is congruent to <2 is <4.
Step-by-step explanation:
They are vertical angles, therefore congruent
pls answer asap i need this answer quick plus the full explanation #8
Kate wants to buy a new sled. She has already saved 35% of the amount she needs. What fraction (in the simplest form) describes this percent?
Answer:
7/20.
Step-by-step explanation:
Simply convert 35% to a fraction. You get 35/100. Then, you are expected to leave your fraction in its simplest form. Do the simplification, and you will derive 7/20.
Can someone help me with this question please.
Answer:
a. +3
b. -12a
Step-by-step explanation:
Here, we want to know the steps that are involved in those unoccupied segments
let’s start with the output
6a + 18
So what turned a to 6a + 18
Let’s call that output x
Let’s reverse the last step that multiplied that term and a
Thus (6a + 18)/6 = a + 3
Thus the x-term we are looking for is + 3 before the multiplication by 6
Now for the second part;
a * 4 -3 = -12a
helpppp the whole question is in the picture
Answer:
y=-1/4(x+3)²+3
Step-by-step explanation:
Answer and explanation:
We khow that the standard form of a parabola is written this way:
ax^2 + bx +c
It can be factored if it has roots
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
In the graph we notice that the parabola has two x-intercepts wich means two roots
Let p and q be the roots
The equation can be written as:
a (x-p) (x-q)
We can khow the value of p and q from the graph
The parabola crosses the x-axis in -6,25 and 0.5
So the equation is:
Y=a(x-0.5) (x+6.25)
a is missing but we can find it
□□□□□□□□□□□□□□□□□□
Replace x and y bu the coordinates of a point in the parabola
Let's take (-3;3)
3= a (3-0.5) (3+ 6.5)
3 =a* 2.5* 9.5
a= 3/(2.5*9.5) = 0.12
So the equation is :
y= 0.12(x-0.5)(x+6.5)
y= (0.12x-0.6)(x+6.5)
y= 0,12x^2 + 0.78x -0.6x- 3.9
y= 0.12x^2 +0.18x-3.9
Divide by 3 to simplify :
y= 0.4x^2+0.6x-1.3
Multiply by 10 to get rid of the decimal numbers
y= 4x^2 + 6x -13
Suppose that each country currently has 90 workers and each decides to transfer some amount of labor toward its area of comparative advantage. The United States transfers 10 workers away from socks toward producing cell phones. Thailand transfers 18 workers away from cell phones toward producing socks. What will be the new total output of cell phones for both countries combined?
Answer:
I got 41000 cell phones.
Step-by-step explanation:
Step 1: I figured out the amount of each workers from 90
US Sock Production: 18 workers
Thailand Sock Production: 15 workers
US Cell Production: 27 workers
Thailand Cell Production: 30 workers
Step 2: I adjusted the workers amounts to the question's changes
US Sock Production: 18 - 10 = 8 workers
Thailand Sock Productions: 18 + 15 = 33 workers
US Cell Production: 27 + 10 = 37 workers
Thailand Cell Production: 30 - 18 = 12 workers
Step 3: Find the total amount of cell phones produced
4(1000) + 37(1000) = 41000 cell phones
*12/3 = 4 because 3 workers are needed to make 1000 cell phones
Which values for e have the same reference angles?
Hey there! :)
Answer:
Choice 4: π/4, 3π4, 7π/4
Step-by-step explanation:
For the values of θ to have the same reference angles, the denominators of the radians must be the same. Therefore:
Choice 1: π/6, π/3, 5π/6 - incorrect. π/3 will have a different reference angle as it has a denominator of 3.
Choice 2: π/3, 5π/6, 4π/3 - incorrect. 5π/6 will have a different reference angle as it has a denominator of 6.
Choice 3: π/2, 5π/4, 7π/4 - incorrect. π/2 will have a different reference angle.
Choice 4: π/4, 3π4, 7π/4 - correct. All of these radians contain the same denominator, and will each have the same reference angles of π/4.
Pls help me ima give BRAINLIST
Answer:
x = -2
Step-by-step explanation:
x = -2, is a vertical line, y = 5 is a horizontal line.
Answer:
x=-2
Step-by-step explanation:
x=-2
If the variance of 3 4 6 y (y+3) and 9 is 21.6 what is the standard deviation of 6 8 12 2y (2y+6) and 18
Answer:
The standard deviation of second data set is 9.2952.
Step-by-step explanation:
The variance of a random variable is independent of change of origin but not of scale.
That is if any value is added or subtracted from the random variable then the variance of the random variable will not change.
[tex]V(X+a)=V(X)+V(a)=V(X)[/tex]
And if any value is multiplied or divided by the random variable then the variance of the random variable will change.
[tex]V(aX)=a^{2}V(X)[/tex]
The first set of data is:
S₁ = {3, 4, 6, y, (y+3) and 9}
The variance of S₁ is,
V (S₁) = 21.6
The second set of data is:
S₂ = {6, 8, 12, 2y, (2y+6) and 18}
On comparing the two sets of data, it can be concluded that:
S₂ = 2 × S₁
Compute the variance of S₂ as follows:
[tex]V(S_{2})=V(2\times S_{1})[/tex]
[tex]=2^{2}\times V(S_{1})\\\\=4\times 21.6\\\\=86.4[/tex]
Then the standard deviation of S₂ is:
[tex]SD(S_{2})=\sqrt{V(S_{2})}[/tex]
[tex]=\sqrt{86.4}\\=9.2952[/tex]
Thus, the standard deviation of second data set is 9.2952.
You are coordinating the construction of a shelter for homeless people. A large number of college students and members of a religious organization have signed up as volunteers for constructing the shelter. About 30% of these volunteers are skilled, but the rest are not. It is estimated that the total number of man-hours required to complete the construction of the shelter is 1200—if all volunteers are skilled. Three times as many unskilled volunteers are required to complete any job compared to skilled volunteers. The average number of hours a skilled volunteer is available is 10/week while unskilled volunteers are available for 15 hours every week.
Explanation:
The plan outlined here makes nearly best use of available resources and job constraints. It results in job completion in about 12 weeks, or 3 months.
__
For simplicity, we choose to work 5 hours per day, 5 days a week. Each skilled volunteer will complete their weekly 10 hours by working 2 days. Each unskilled volunteer will complete their 15 hours by working 3 days. Some volunteers will work an "interrupted" schedule that consists of non-consecutive work days. The purpose of this is to provide compliance with job site limitations, volunteer hour limitations, and to maximize continuity of communication as the job progresses.
A weekly schedule along these lines is shown in the attachment. It has 2 skilled volunteers and 6 or 7 unskilled volunteers on site each day. The ratio of skilled to unskilled volunteers is 31% : 69%. Each works the maximum number of hours for their skill level.
The net result is that 50 skilled hours and 165 unskilled hours are worked each week.
__
We assume the wording "three times as many unskilled volunteers are required to complete any job compared to skilled volunteers" means that 3 unskilled hours are equivalent to 1 skilled hour. (An alternative interpretation is that 45 hours of unskilled labor is equivalent to 10 hours of skilled labor.)
Using this assumption, job completion occurs at the equivalent rate of ...
50 +165/3 = 105 . . . equivalent skilled hours per week
The total job requirement of 1200 skilled hours can be met in 12 weeks' time, well within the 6-month desired completion period. (Even using the alternate interpretation of labor equivalent, the job can be done in 14 weeks.)
__
In any given week, the 5 skilled volunteers are designated s1–s5, and the 11 unskilled volunteers are u1–u11. The days they're scheduled to work are identified by the weekday labels M, T, W, T, F. Skilled volunteer s1 works only Monday and Friday, and is responsible for week-to-week tie-in. Unskilled volunteers u2, u4, u7, u9 get two (2) days off in the middle of each week.
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.
A. She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 8 km for Isabelle’s distance.
B. She did not square the 12 in the problem. She should have used 12 squared = 144.
C. She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
D. She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
E. She should not have taken the square root of each side when solving. She should have just divided each side by 2.
F. She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.
Answer:
A and B
Step-by-step explanation:
A) because what Omyra found is the distance for an hour and what she should have found is the distance for an hour and a half.
B) because the pythagorean theorem is a^2+b^2=c^2. The legs of an triangle should always be squared before being added.
Answer:
For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
Step-by-step explanation:
What is the slope of the line represented by the equation y = 5 x – 3?
0-3
4
o
5
tln m
O 3
Answer:
the slope is 5
Step-by-step explanation:
y = 5 x – 3
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
the slope is 5 and the y intercept is -3
Answer:
The Slope is 5
Step-by-step explanation:
As seen in the y-intercept equation, 5x is shown as the slope of the line.
Please answer this in two minutes
Answer:
WX = 7.9
Step-by-step explanation:
By applying tangent rule (law of tan) in the given right triangle WXY.
tan(W) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(27)° = [tex]\frac{\text{XY}}{\text{WX}}[/tex]
0.509525 = [tex]\frac{4}{\text{WX}}[/tex]
WX = [tex]\frac{4}{0.509525}[/tex]
WX = 7.85
WX ≈ 7.9
Therefore, length of side WX is 7.9 units.
Which expression is equivalent to
Answer:
Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]
Step-by-step explanation:
=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]
=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]
=> [tex]x^{\frac{1}{8}}y^8[/tex]
Maria recorded the thickness a of a set of books. This line plot shows her results. Maria stacked the books that were 214 inches thick on top of the books that were 212 inches thick. How thick was her pile of books?
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete because it does not contain the line plot. A line plot is attached and steps on how to calculate.
From the line plot, if Maria stacked the books that were 3/4 inches thick on top of the books that were 1 inches thick, the result would be as follows.
A line plot shows the frequency of data using a number line. As seen from the line plot, 5 books are 3/4 inches thick and 4 books are 1 inches thick. If the 1 inches thick books was stacked on the 3/4 inches thick book, the resulting thickness would be: [tex]Thickness\ of\ books=\frac{3}{4} inches/book *5\ books+1\ inches/book*4\ books\\ = 3.75\ inches+4\ inches = 7.75 \ inches[/tex]
Therefore Maria pile of books as a result of stacking 3/4 inches thick on top of the books that were 1 inches thick = 7.75 inches
Answer:
7.75
Step-by-step explanation:
An arrow on a spinner is spun 250 times. Some of the results are shown below. The relative frequency of landing on a 4 is the same as the relative frequency of landing on a 5 Work out the relative frequency of landing on a 4
Answer:
11/50
Step-by-step explanation:
The frequency numbers for landing on 1, 2, and 3 are:
25, 53, 62.
We add them up to get: 25 + 53 + 62 = 140
Since 250 spins were made, and 140 of them landed on 1, 2, or 3, then
250 - 140 = 110,
so 110 landed on 4 or 5.
We are told the numbers of spins landing on 4 and 5 are equal, so
110/2 = 55,
so the spinner landed 55 times on 4 and 55 times on 5.
relative frequency = 55/250 = 11/50
x-5=11-3x solve for x
Answer:
4
Step-by-step explanation:
x-5=11-3x
+5 +5
x=16-3x
+3x +3x
4x=16
--- ----
4 4
//x= 4//
// have a great day //
Solve for x 5 x − 1 = 6 x − 9
Answer:
The value of x in this equation is 8.
Step-by-step explanation:
5x - 1 = 6x - 9
Subtract 6x on both sides.
-x - 1 = -9
Add 1 to both sides.
-x = -8
Divide by -1 on both sides.
x = 8
helpzies again lollll
Answer:
2nd Graph
Step-by-step explanation:
If it's a direct proportional relationship, the the 2nd graph is your best choice. Usually renting stuff keeps increasing in price (like a linear graph) as businesses want to make money continuously. Besides, it's charged by the hour, with an increase of price proportional to the amount of hours, so it is a linear equation.
Simplify this expression: 19 - (-8) - (-14) = ? A. 41 B. 25 C. -7 D. -3
Answer:
A. 41
Step-by-step explanation:
19 - (-8) - (-14) =
19+8+14
Remember: Two negatives=One positive ;)
27+14
41
A. 41
Answer:
[tex]\mathrm{A.} \: 41[/tex]
Step-by-step explanation:
[tex]19 - (-8) - (-14)[/tex]
[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]
[tex]19+8+14[/tex]
[tex]\mathrm{Add \: the \: numbers.}[/tex]
[tex]=41[/tex]
Use the distributive property to multiply -3(-28)
Answer:
84
Step-by-step explanation:
-3 multiplied by -28 equals 84. The two negatives cancel out.
Answer: ur answer would be 84
-3*-28
84
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90 ?
Answer:
31hr
Step-by-step explanation:
82 Find the circumference
of a circle with a radius
of 10cm.
A. 6.28 m
B. 62.8m
C. 628m
D. 6280m
Answer:
0.628 m (This is the correct answer but I cant find it in your options)
Step-by-step explanation:
Radius = 10 cm = 0.1 m
Now, The circumference:
=> Circumference = [tex]2\pi r[/tex]
=> C = 2(3.14)(0.1)
=> C = 0.628 m
Answer:
B. 62.8m
Step-by-step explanation:
C= 2πr= 2*3.14* 10 m= 62.8 m
Assumed radius is 10 m as the answer options are in metre
The value that satisfies the equation 7/n=8/7 is
Answer:
n= 35/8
Step-by-step explanation:
7/n= 8/7
7/8 = n/7
7²/8 = n
n = 49/8
Answer:
n = 49/8Step-by-step explanation:
[tex] \frac{7}{n} = \frac{8}{7} [/tex]
Cross multiply
We have
49 = 8n
Divide both sides by 8
n = 49/8Hope this helps you
a square has a perimeter of 36cm2. what is the area of it?
Answer: 81
Step-by-step explanation:
We know that to find the area of a square you have to square the side length.
So since we know that he area is 36 cm square, then we will find the square root of 36.
36/4= 9 Now we know that the side length is 9 and a square has four sides which are all equal. The perimeter is the distance around the shape.
So just multiply 9 by 9 to find the area
9*9 = 81
Write down the integer values satisfied by this diagram
Answer:
0,1,2,3
Step-by-step explanation:
There is an open circle at -1 so it is not included
There is a closed circle at 3 so it is included
The integers between and including 3 are good
0,1,2,3
Answer:
-1,3
Step-by-step explanation:
Express as a fraction 12 1\2%
Answer:
1/8.
Step-by-step explanation:
12 1/2 %
= 12 1/2 / 100
= (25/2) / 100
= 25/200 Now 200/25 = 8 so the answer is
1/8.
Inga can earn $375 per week in a plant store, or she can earn 3% of total sales. How much would Inga have to sell to earn more in commission than in salary?
Answer:
Inga will have to sell $12,533 to earn more in commission than in salary.
Step-by-step explanation:
As the commission is the percentage of sales amount so, need to calculate the minimum sales value required.
Igna's salary = $375
Commission rate = 3%
Sale to earn more than salary = $376 / 3% = $12,533.33
Igna has to make a minimum sale of $12,533 per week in order to earn more commission than her salary.
What the answer question now
[tex] < or \: [/tex]
i am not so sure