Answer:
x=0, y=0
Step-by-step explanation:
① Label the 2 given equations.
x -2y= 0 -----(1)
3x +y= 0 -----(2)
② Make x the subject of formula in equation (1).
From (1): x= 2y -----(3)
③ Substitute equation (3) into (2):
3(2y) +y= 0
Expand:
6y +y= 0
Simplify:
7y= 0
y= 0
④ Find x.
Subst. y=0 into (3):
x= 2(0)
x= 0
Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
If I currently have a 77% in my course, and I have final that's worth 30%, how would a score of exactly 0% or 100% on the final affect my current grade in the course?
Answer:
If you score a 0% on your exam, you get 53.9% as your overall gradeIf you score 100% on your exam, you get 83.9% as your overall grade====================================================
Explanation:
Your final is worth 30% of your grade, so the other 70% is what you've already done so far
The expression below
0.30x + 0.70*0.77
represents what your final grade would be in decimal form. We multiply the weights 0.30 and 0.70 with each of their corresponding grade value.
The x represents the decimal form of the final exam score.
------------
Let's say you get a 0% on the final. That would mean x = 0 and
0.30x + 0.70*0.77
0.30*0 + 0.70*0.77
0.539
So you'd end up with a 53.9% as the overall grade.
------------
Now let's say you get 100% on the final. We plug in x = 1 since it's the decimal form of 100%
So,
0.30x + 0.70*0.77
0.30*1 + 0.70*0.77
0.839
You would end up with a 83.9% as the overall grade.
Fewer young people are driving. In , of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in ?
The margin of error is 0.027 and the interval estimate at 95% confidence interval is 0.612 to 0.666
How to calculate the margin of error and the interval estimateFrom the question, we have the following parameters that can be used in our computation:
Proportion, p = 63.9%
Sample size, n = 1200
The margin of error can be calculated using:
E = z * √((p * (1 - p))/n)
Where
z = 1.96 i.e. z-score at 95% CI
Substitute the known values in the above equation, so, we have the following representation
E = 1.96 * √((0.639 * (1 - 0.639))/1200)
Evaluate
E = 0.027
The interval estimate is calculated as
I = p ± E
So, we have
I = 0.639 ± 0.027
Evaluate
I = 0.612 to 0.666
Hence, the interval estimate is 0.612 to 0.666
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Question
Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.
At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?
Select the correct answer.
Which complex number is equivalent to this expression?
1/3(6 + 3i) – 2/3(6 - 12i)
OA. 6- 7i
B. 6 + 9i
C. -2 + 9i
D.
-2 - 7i
Answer:
-2 + 9i
Step-by-step explanation:
I gave extra points and I will give brainliest
Which of these is an example of a random sample?
A. Mrs. Baker selects the 10 students who raised their hands to volunteer to fill out a survey.
B. Mrs. Baker selects the 10 students whose names are drawn from a bag to fill out a survey.
C. Mrs. Baker selects the 10 students who arrived to class first on Monday to fill out a survey.
D. Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.
Answer:
I think it's A.
Step-by-step explanation:
I hope it is helpful to you
what is the answer to (x+3)^5
(x + 3)⁵
= x⁵ + 3⁵
= x⁵ + 243
Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”
When he returns, the total will be "$1,000".
Given charges are:
For airfare,
= $412.00
For conference registration,
= $378.00
For food,
= $210.00
The total charges will be:
= [tex]Airfare+Conference \ registration+Food[/tex]
= [tex]412+378+210[/tex]
= [tex]1,000[/tex] ($)
Thus $1,000 is the right answer.
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Find the output g when the input r is 4
g=25-3r
g=?
Answer:
G=13. On kahn
Step-by-step explanation:
Best answer gets brainliest. How do I find X?
Answer:
x=10
Step-by-step explanation:
add al the numbers that are alike so xes with xes blah blah
17x+10=180
-10 both sides
17x=170
divide 17 both sides
check
5(10)=50-1=49
80+5=85
40+6=46
49+85+46=180
Verify sin4x-sin²x=cos4x-cos²x is an identity.
the 4 is supposed to be small like the 2
Answer:
It's an identityStep-by-step explanation:
[tex]\sin^4x-\sin^2x=\cos^4x-\cos^2x\\\\Ls=\sin^2x(\sin^2x-1)=-\sin^2x(1-\sin^2x)=-\sin^2x\cos^2x\\\\Rs=\cos^2x(\cos^2x-1)=-\cos^2x(1-\cos^2x)=-\cos^2x\sin^2x\\\\Ls=Rs\\\\\text{used}\\\\a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}\ a(b+c)=ab+ac\\\\\sin^2x+\cos^2x=1\to \sin^2x=1-\cos^2x\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x}[/tex]
Write a linear function f with the values f(0) = 1 and f(-2)=-3,
Oy=-2x-3
O y = x + 2
O y = 2x + 1
O y=-3x + 1
EMERGENCY PLEASE HELP! Which set of ordered pairs does not represent a function?
A. {(1,2), (7,8)}
B. {(-4,4),(-2,2),(-1, 1)}
C. {(1,1),(1,2)
D. {(-5,-4),(3,6)}
E. {(0,1),(1, 1), (2, 1)}
Answer:
c.
Step-by-step explanation:
The X value 1 is repeated
At Tim’s party 4 people are sharing 2/3 of a pizza. How much will each guest get
Answer:
Each person would get 1/6 of the pizza
Step-by-step explanation:
1/3 divided by 2 is 1/6. Do that again and you will get four of 1/6.
4x4xy+6/3
Please i will give brainliest
GIVE ME THE ANSWER!!!!!!!!!!!!!!!!!!
Mrs. Ellis wrote the expression (24 + 4) ÷ 4 on the board. Which expression is equivalent to the expression Mrs. Ellis wrote?
a.(4 + 3)² ÷ (10 – 3)
b.36 ÷ 3 • 2 + 1
c.8 • 3 + 12 • 2 + 11
d.72 – 4 • 8 – 15 ÷ 3
Answer:
a. (4+3)² ÷ (10-3)
Step-by-step explanation:
Because 4+3 is 7 then to the second power is 49 divide that by 7 which gives you 7.
Jennifer has 1.7 liters of lemonade. If she pours 3 tenths of lemonade into a glass how many liters of lemonade are in the glass?
A music store marks up the instruments it sells by 30%.
If the price tag on a trumpet says $104, how much did the store pay for it?
A. $ 58.50
B. $ 80
C. No, it did not mark up 30%.
Step-by-step explanation:Since,
A. We have,
Mark up percentage = 30%
Actual price = $ 45,
B. We have,
SP = $ 104,
C. We have,
AP = $ 75,
SP = $100,
Thus, mark up percentage =
= 33.33 %
Hence, store did not mark up the price by 30%.
Jill paid a sales tax of $1.40 when she bought a vest.What was the price of the vest not including the tax?
Answer:
Price of tne Vest + $40 - 1.40 = $38.6
Step-by-step explanation:
3.5% * n = $1.40
0.035 * n = $1.40
0.035/0.035 * n = $1.40/0.035
n = $40
The price of the vest not including the tax is, $40
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products
Now,
Let p = price of a vest
Hence, from the question, this equation can be formed,
⇒ 35% of p = $1.40
⇒ 0.035 x p = $1.4
divide both sides of the equation by 0.035;
⇒ p = $40
Thus, The price of the vest not including the tax is, $40
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Complete question is this;
Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%
solve for x. this is isosceles triangles on delta math. just solve for x thanks
Answer: x=3
Step-by-step explanation:
Isosceles means that both of those sides are equal.
5x = 7x -6
-2x = -6
x = 3
Answer:
x = 3
Step-by-step explanation:
I know because is
7x-6= 5x
then just resolve the equation
Use a matrix to solve the system:
Answer:
(2.83 , 1 , 4)
Step-by-step explanation:
[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]
Rewrite these equations in matrix form
[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]
we can write it like this,
[tex]AX=B\\X=A^{-1}B[/tex]
so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.
We get the inverse of matrix A,
[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]
now multiply the matrix with B
[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]
Find the value of this expression if x = 5 and x=2
xy^2 / -3
Answer:
-20/3
Step-by-step explanation:
here x=5 and y=2 then put the value and get answer.
Solve the system of equations y=x^2-3x+2
y=-9x-3
grab the image of the rectangle DEFG reflection across the line x= 3
Answers:
D ' at (9, -9)E ' at (5, -9)F ' at (5, -2)G ' at (9, -2)Refer to the diagram below
========================================
Explanation:
For points D,E,F,G we will follow these steps
Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).Reflect across the y axis using the rule [tex](x,y) \to (-x,y)[/tex]. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.Let's go through an example:
Point D is located at (-3, -9). Apply the three steps mentioned above.
Shift point D three units to the left to arrive at (-6, -9)Reflect over the y axis to go from (-6, -9) to (6, -9)Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)
The other points E, F, G will follow the same steps to get the answers you see at the top.
The diagram below visually summarizes everything.
-------------
Side notes:
The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.Evaluate the expression if y=6 : 30 - 24 ÷ y
Answer:
The answer is 1
Step-by-step explanation:
30 minus 24 is 6 and 6 divided by 6 is 1
The data below gives the mean price (in cents) of a liter of regular gasoline at self-service filling stations at a sample of six urban centers in Canada in May 2011.
Urban area Price/liter
St. John, NL 137.1
Halifax 133.6
Montreal 136.2
Regina 132.3
Saskatoon 132.2
Yellowknife 138.9
Required:
a. Find the sample mean (in cents).
b. Find the sample standard deviation (in cents).
c. Find a 90% confidence interval for the mean gasoline price per liter across urban Canada in May 2011. Provide the lower and upper limits for your confidence interval.
d. Find a 95% confidence interval for the mean gasoline price per liter across urban Canada in May 2011. Provide the lower and upper limits for your confidence interval.
Answer:
135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)
Step-by-step explanation:
Given the data:
Urban area Price/liter
St. John, NL 137.1
Halifax 133.6
Montreal 136.2
Regina 132.3
Saskatoon 132.2
Yellowknife 138.9
Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6
= 810.3 / 6
= 135.05
Standard deviation (σ) : √Σ(X - mean)²/n-1
(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135
√(38.135 / (6 - 1))
= √7.627
= 2.7617023
= 2.762
C.)
90% confidence interval of the mean :
Mean ± Zcrit * σ/√n
Zcrit at 90% = 1.64
135.05 ± 1.64 * (2.762/√6)
135.05 ± 1.64 * 1.1275817
Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201
Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899
Confidence interval = (133.201, 136.899)
D.)
95% confidence interval of the mean :
Mean ± Zcrit * σ/√n
Zcrit at 95% = 1.96
135.05 ± 1.96 * (2.762/6)
135.05 ± 1.96 * 1.1275817
Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840
Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260
Confidence interval = (132.840, 137.260)
Which of the symbol correctly relates The two numbers below 19?20
Answer:
<
Step-by-step explanation:
"find the length indicated"
Answer:
huh??
Step-by-step explanation:
(-25w^5+30w^2)/(-5w) =
Answer:
(-25w^5+30w^2)/(-5w) Simplified:
5w^4 - 6w
I need help with this practice sheet
I'm confused with this
End behavior is when the graph goes left or right, does it go up or down.
In this graph, when it goes left it goes up, and when the graph goes right it goes down
as x => - infinity, f(x) => Infinity
as x => Infinity, f(x) => - infinity
The leading coefficient is negative.
The degree is even.
2x+3/4 = x+7/3
WHAT DOES X EQUAL PLEASE HELP ME!!!