Answer:
QS = 12
Step-by-step explanation:
Hello!
We can see that QS is the sum of QR and RS, which is equal to 6x.
We can substitute the given values to solve for x, and then use that to find QS.
Solve for xQS = QR + RS6x = 8 + x + 2 Substitute values6x = 10 + x Combine like terms5x = 10 Subtract xx = 2 Divide by 2The value of x is 2. We can now find QS by substituting 2 for x in 6x.
QS = 12.
Write an equation in slope-intercept form for the line perpendicular to y = -2x + 5 and containing the point (8,-3)
slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is
y = 1/2x -7
What is perpendicular line?
The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.
What is the equation of line perpendicular to the given line?
we know the slope intercept form of an equation of line is y = mx + b
m is the slope of line and b is the y intercept.
given, equation of a line, y = -2x+5
the slope m = -2 and y intercept, b = 5
we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)
The required line of equation will have a slope equal to the negative reciprocal of the given slope.
hence, the slope will be m = 1/2
the equation of straight line will be y = 1/2x + b
as the line passes through the points (8, -3)
so, -3 = 1/2 × 8 + b
b = -7
y intercept of the new equation = -7
the new equation of line is y = 1/2x -7
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Find the distance between the points.
(−3,− 8), (6, – 8)
The distance is
To calculate the distance between two points:
We apply the following formula:
d = √(x₂ - x₁)² + (y₂ - y₁)²
The points are:
(x₁,y₁) = -3, -8(x₂,y₂) = 6, -8We substitute data and solve:
[tex]\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }[/tex]
The distance between the points (−3,− 8), (6, – 8) is 9.
What is the slope of a line parallel to the line whose equation is3x−4y=8?
A:-4/-3
B:-3/-4
C:3/4
D:4/3
Answer:
i think 3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Can y’all help me on question 6?!
Answer:
B is the answer- positive y and negative x
Erica drove 200 miles and Steve drove 212.0 kilometers. Who drove
farther? (1km = 0.62 mile)
Answer:
212×0.62=131.44 so Erica drove farther.
Answer:
The answer is Erica drove farther.
Step-by-step explanation:
212 kilometers is 131 miles and Erica drove 200 miles so Erica drove further.
There are three section of class 10th in Kendriya Vidyalaya Delhi Cantt the total number of strain in class 10th 400 the marks obtained by the students in pre board exam are presented in the table as given below the mean of the marks obtained in 53
Marks obtained=0-20,20-40,40-60,60-80,80-100
Number of student 15,18,21,29,p
(1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2) what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80 (3) what is the value of modal marks
(a)58 (b)62 (c) 65 (d) 68 (4) what is the value of {fixi? (a)2900 (b) 5300 (c) 1500 (d) 100
(5) what is the upper limit of the median class?
(a) 20 (b) 40 (c) 60 (d) 80
2
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Given :
Marks obtained= 0-20,20-40,40-60,60-80,80-100
Number of student 15 , 18, 21, 29, p
mean of the marks obtained is 53
To Find : (1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2)
what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80
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Therefore ,the top limit of the normal class of three parts of mean class 10th is therefore 60, and the median class is 40–60.
Define mean.Simply average a collection of three or more numbers yields the phrase "mean." The median method, which employs the maximum of a group of products, and the arithmetic average approach, which uses the sum of both the series' values, are two ways to determine the mean for just a given set of numbers.
Given:
Grades received:
X f fi xi
0-20, 10 15 150
20-40, 30 18 540
40-60, 50 21 1050
60-80, 70 29 2030
80-100 90 p 90p
Total: 3770 + 90p + 83p
Mean (3770 plus 90 pi)/(83 plus pi) = 53
=> 3770 + 90p = 83 * 53 + 53p
=> 37p = 629
=> p = 17
17 students received scores in the 80–100 range.
f = 29 and modal class 60-80
minimum of modal class 60
=> 60 + 20 * 8/20
=>68
68 is the modal marks value.
=> ∑fixi = 3770 + 90p = 3770 + 90(17) = 5300
=> 100/2 = 50
60 is the maximum median class for 3 phases of class 10 with a median class of 40–60.
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1,3,5,7,9, ...? please tell me here the answer here please
Answer:
11
Step-by-step explanation:
1
1 + 2 = 3
3 + 2 = 5
5 + 2 = 7
7 + 2 = 9
9 + 2 = 11
HELP ASAP I WILL MARK BRAINLIEST!!!
Find the surface area of the sphere.
r=3 cm
Formulas for Spheres
S.A. = 41r2
V=far S.A. = [?] cm2
Round to the nearest tenth.
Answer: 113.0cm²
Step-by-step explanation:
The surface area if a square is calculated as:
= 4πr²
where, radius = 3cm
Surface area = 4πr²
= 4 × 3.14 × 3²
= 4 × 3.14 × 9
= 113.04
= 113.0cm²
Therefore, the surface area is 113.0cm²
What does the variable s equal in this equation?
S-10 = 31
Answer:
s = 41
Step-by-step explanation:
[tex]s - 10 = 31[/tex]
Add 10 to both the sides in order to isolate the variable 's'.[tex]=> s - 10 + 10 = 31 + 10[/tex]
[tex]=> s = 41[/tex]
Please help meeee!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
y - (-3y)
A researcher claims that 45% of U.S. adults think that the IRS is not aggressive enough in pursuing people who cheat on their taxes. You believe the true percentage is more than 45%. To test this, you take a simple random sample of 500 U.S. adults and find that 245 of them say the IRS is not aggressive enough.
Required:
a. What's the minimum population size required?
c. How many successes were there?
c. Test at 0.01 significance.
I’m just tryna get up my bag yurt
Answer:
a) Then minimum sample size is n = 12
b) We got 245 successes
c)p-value is greater than 0,01 Therefore we accept H₀.
We can´t support our claim
Step-by-step explanation:
a) The minimum population size required to use the approximation of binomial distribution to normal distribution can be obtained from:
n*p > 5 p = 0,45 0,45 * n > 5 n > 11
Then minimum sample size is n = 12
b) We got 245 successes out of n = 500
x = 245 p = 245/500 p = 0,49
q = 1 - p q = 1 - 0,49 q = 0,51
Test Hypothesis:
Null Hypothesis H₀ p = 0,45
Alternative Hypothesis Hₐ p > 0,45
Alternative Hypothesis indicates that the test is a one tail test to the right
z( s) = ( p - 0,45 ) / √ p*q/n
z( s) = ( 0,49 - 0,45 ) / √ 0,49*0,51 / 500
z( s) = 0,04 / 0,0223
z(s) = 1,793
p- value for z = 1.79 is from z-table p-value = 0,0367
Comparing p-value with the significance level 0,01 we see that
p-value is greater than 0,01 Therefore we accept H₀.
We can´t support our claim
solve for 30 points and brainliest
7³(8)÷3(2)-1800.3 repeating
Answer:
29.033333
Step-by-step explanation:
Answer: -1342.966 repeating
Step-by-step explanation: Pemdas≈7^3(8)/6-1800.3=(343)(4)/(3)-1800.3=457.333-1800.3=1342.96
Please help! 10 points
Answer:
1 real soultion
Step-by-step explanation:
Rashaad has
x
x dimes and
y
y nickels, having no less than 18 coins worth at most $1.50 combined. At least 4 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.
Answer:
see attached for a graph4 dimes, 22 nickelsStep-by-step explanation:
You want to solve graphically the system of inequalities expressing that Rashaad has no less than a total of 18 dimes (x) and nickels (y) with a combined value of at most $1.50, of which at least 4 are dimes.
InequalitiesAn inequality can be written for each of the constraints:
x + y ≥ 18 . . . . . . . no less than 18 coins
0.10x +0.05y ≤ 1.50 . . . . . . at most $1.50 in value
x ≥ 4 . . . . . . . . . . at least 4 dimes
GraphA graph of these inequalities is attached. The marked points are the vertices of the triangular solution space. Each is a possible solution, along with all of the grid points inside the triangle.
One possible solution is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.
Using graph to solve the system of linear inequality the most likely solutions will be 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50
What is System of Linear InequalitySystems of linear inequalities are equations with two or more linear inequalities that contain two or more variables. These equations can be used to represent real-world problems and to find the solutions of such problems. The solutions of a system of linear inequalities are all the points that are common to all of the linear inequalities in the system.
In this problem, we have to define our variables and then solve this using graphical method. The point of intersection between the two lines lies the solution to the linear inequality.
Let;
x = dimesy = nickelx + y ≥ 18
0.1x + 0.05y ≤ 1.50
x ≥4
Using a graphing calculator to solve this,
The possible solutions is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.
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Rewrite the following sentence in the passive voice:The legal advisor warned the man not to use certain emojis in responding to Messages.
right angle
The sum of yo and 50° is a right
find the value of yo. [4]
then
Answer:
The angle yo measures 40º.
Step-by-step explanation:
Given that the sum of yo and 50 ° is a right angle, to find the value of yo the following calculation must be performed, knowing that a right angle measures 90 °:
50 + yo = 90
yo = 90 - 50
yo = 40
Therefore, the angle yo measures 40º.
10. Enter a fraction to 0.93. Use only whole numbers for numerators and denominators.
Answer:
93/100
Step-by-step explanation:
Answer:
93/100
Step-by-step explanation:
hazar is having 4 friends over to play video games. Each person will spend $6 on game rental and $4 on drinks and snacks, Write two expressions for the total cost for hazar and his friends
Answer: Here are two possible expressions for the total cost for Hazar and his friends:
The first expression is to add the cost of game rental and drinks and snacks for all the four friends
6x + 4x =10x where x is the number of friends
Second expression is to calculate the cost for each of the 4 friends and then add it together
(6 + 4) * 4 = 40
Both the expressions represent the same outcome, that is the total cost of $40 for Hazar and his friends to play video games.
It's depend on how you want to represent it, both are correct and represents the same outcome.
Step-by-step explanation:
What is the factored form. Help doing test rn!!!
Answer:
(y^3-2)(x^2-2)
Step-by-step explanation:
x^2y^3-2y^3 can be factored. This will be equal to y^3(x^2-2). Then for the other half it will be equal to -2(x^2-2). Because the insides are the same, the equation is the outside two number y^3 and -2 added together time the inside number x^2-2. This will make the expression (y^3-2)(x^2-2).
If this helps please mark as brainliest
The relative frequency table below displays the proportion of colors of cars for sale at a dealership.
What proportion of cars are yellow?
0.04
0.1
0.15
0.4
Proportion of cars which are yellow -
= 1 - (0.24 + 0.20 + 0.15 + 0.12 + 0.15 + 0.10)
= 1 - 0.96
= 0.04
Answer:
A) 0.04
Step-by-step explanation:
edge 2023
Luz has 2 red, 2 white, and 3 blue marbles in a cup. If she draws two marbles at random and does not replace the first
one, find the probability of a white marble and then a blue marble.
Answer:
The probability of white marble is 2/ 7
The probability of blue marble = 3/7
Step-by-steThe prop explanation:
If x = 5, then which inequality is true
Answer:
G
Step-by-step explanation:
Plug X into the inequality.
(5) - 2 < 7 is true
Hope this helps! :)
Answer: G) x-2<7
Step-by-step explanation:
x=5
5-2<7
3<7
three is less than 7.
Without doing any calculations, compare Expression A to Expression B. ( 34 + 25 ) ÷ 1 4 34 + 25 Which statement is true? A. Expression A is 2 times as great as expression B. B. Expression B is 4 times as great as expression A. C. Expression A is 4 times as great as expression B. D. The two expressions are equal to each other. PLZZZZ HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C.Expression A is 4 times as great as expression B.
Step-by-step explanation:
Given - Without doing any calculations, compare Expression A to Expression B.
A. (34+25) ÷ 1/4
B. 34+25
To find - Which statement is true?
A. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A.
C.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each other.
Solution -
The correct answer is - C. Expression A is 4 times as great as expression B.
Reason -
Given that ,
Expression A is -
( 34 + 25 ) ÷ 1 /4
It can also write it as -
4(34 + 25)
And
Expression B given as -
34 + 25
So,
We can clearly see that,
Expression A is 4 times Expression B.
So,
Option C is correct.
Ed is on a road trip. He has already traveled 212 miles and is driving at a rate of 65 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 675 total miles?
How much is the monthly amortization on an automobile loan of ₱ 900,000 to be amortized over a 5-year period at a rate 9.5% compounded monthly?
The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68
How to find the amortization ?The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.
First, find the period in months:
= 5 x 12 months a year
= 60 months
The interest in months :
= 9 . 5 % / 12 months per year
= 9.5 / 12 %
The monthly amortization is:
= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)
= 900, 000 / 47.614827336156
= ₱ 18, 901.68
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PLEASE HELP! GIVING 20 POINTS
do to the problem
find the surface area of this prism
Answer:
The surface area is 23
Step-by-step explanation:
Good Luck!
Answer:
A=2(wl+hl+hw)=2·(8·10+5·10+5·8)=340
Step-by-step explanation:
HELP HELP
13. A floor plan for a house uses a scale in which 1 inch represents 3 feet. The kitchen in the house is 10.5 feet wide. On the plan, the kitchen is
14. An architect is building a model of an apartment building that will be 186 meters tall. The architect uses a scale in which 1 centimeter represents 4 meters . The model will be
Answer:
13. 3.5
14. 21.5
Step-by-step explanation:
For each one, divide the real size by what 1 unit measures. For the first question, the real size is 10.5 and 1 unit (in this case an inch) represents 3 feet. So do 10.5/3 to get the number of inches uses to represent the total width. 10.5/3 = 3.5
For the second one, the real size is 186 meters. And 1 unit (this time it's a centimeter) represents 4 meters. So do 186/4 and you get 21.5, which is the number of centimeters used to represent the total height.
What is the function?
Answer:
f(x) = x² + 6 for x < 3
and
f(x) = -x + 6 for x ≥ 3
Step-by-step explanation:
you have to break it up into two separate parts
for x less than 3 is a parabola x² where y = 6 when x = 0
f(x) = x² + 6 for x < 3
and
for x ≥ 3 the function is a line two points (3, 3) and (0, 6)
the slope m = (3 - 6) / (3 - 1) = -1
y intercept = 6 when x = 0
f(x) = -x + 6 for x ≥ 3
Write the first five terms of the arithmetic sequence.
Please show work. Scam answers will be reported.
Answer:
Step-by-step explanation: