Answers
Step-by-step explanation:
Since DEF is a straight line hence its measure wilp be 180°
\(\angle DEF = 180^o \)And ,
=> /_ DEG + /_ GEF = 180° ( linear pair )
=> 23x - 3° + 12x + 8° = 180°
=> 35x = 180° - 8 + 3
=> 35x = 175°
=> x = 175°/35
=> x = 5°
\(\angle DEG= 23x - 3^o = 112^o \) \(\angle GEF = 12x +8^o = 68^o \)Related Questions
If 2x-y=9 and 3x+4y=19, then y=
Answers
Answer:
x = 5
y = 1
Step-by-step explanation:
2x - y = 9
3x + 4y = 19
We multiply the first equation by 4
8x - 4y = 36
3x + 4y = 19
11x = 55
x = 5
Now we put 5 in for x and solve for y
2(5) - y = 9
10 - y = 9
-y = -1
y = 1
Let's Check the answer
2(5) - 1 = 9
10 - 1 = 9
9 = 9
So, x = 5 and y = 1 is the correct answer.
PLS HURRY FOR THE LOVE OF GOD
On a coordinate plane, a line goes through (0, negative 6) and (2, 0) Negative one-third
A. -1/3
B. 1/3
C. 3
D. -3
giving 25pts whoever answers it first
Answers
Answer:
The answer is 44!
Step-by-step explanation:
hehe ywww!!
renegade???
Solve for n:
(n+4)/10 = (n-8)/2
Answers
Answer:
n=11
Step-by-step explanation:
(n+4)/10 = (n-8)/2
We can solve using cross products
(n+4) * 2 = 10 * ( n-8)
Distribute
2n+8 = 10n -80
Subtract 2n from each side
2n+8-2n = 10n-80-2n
8 = 8n-80
Add 80 to each side
8+80= 8n-80+80
88 = 8n
Divide each side by 8
88/8 = 8n/8
11 = n
Answer: n=11
Step-by-step explanation:
(n+4)/10 = (n-8)/2
multiply both sides by 10
n+4 = (n-8)/2*10
cancel
n+4=(n-8)*5
n+4=5(n-8)
multiply
n+4=5n-40
subtract both sides by 5n
n-5n+4=-40
subtract both sides by 4
n-5n=-40-4
subtract the like terms
-4n=-44
cancel the negatives
4n=44
divide each side by 4
n=11
PLEASE HELP IM SO LOST
Answers
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
Write the piecewise defined function for the total cost of parking in the garage. That is, state the function C(x), where x is the number of hours a car is parked in the garage.
Answers
Answer:
\(C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right\)
Step-by-step explanation:
Given
See attachment for question
Required
The piece-wise function
From the attachment, we have:
(1) $4/hr for first 2 hours
This is represented as:
\(C(x) = 4x\)
The domain is: \(0 \le x \le 2\)
(2) $2/hr for next 4 hours
Here, we have:
\(Rate = 2\)
The total cost in the first 2 hours is:
\(C(x) = 4x\)
\(C(2) = 4*2 = 8\)
So, this function is represented as:
\(C(x) = C(2) + Rate * (Time - 2)\) ----- 2 represents the first 2 hours
So, we have:
\(C(x) = C(2) + Rate * (Time - 2)\)
\(C(x) =8 + 2(x - 2)\)
Open brackets
\(C(x) =8 + 2x - 4\)
Collect like terms
\(C(x) =8 - 4+ 2x\)
\(C(x) =4+ 2x\)
The domain is:
\(2 < x \le 2 + 4\)
\(2 <x \le 6\)
(3) 0 charges for the last 2 hours
The maximum charge from (2) is:
\(C(x) =4+ 2x\)
\(C(6) = 4 + 2*6\)
\(C(6) = 4 + 12\)
\(C(6) = 16\)
Since there will be no additional charges, then:
\(C(x) = 16\)
And the domain is:
\(6 < x \le 8\) --- 8 represents the limit
So, we have:
\(C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right\)
FAAASSSTTT II HAAVVEE 3 minutes
Answers
Answer:
A. 16 March
Step-by-step explanation:
1) f`(x)=-0.028x+0.448;
2) f`(x)=0, then -0.028x+0.448=0, then
3) x=16 is {max}.
4) answer March 16th.
Put these numbers in order from least to greatest.
-1/4
2/40
-16
9/25
Answers
Answer:
(-1/4)(-16)(2/40)(9/25)Step-by-step explanation:
options for the attached image:
- JL
- LJ
- KJ
- JK
Answers
Answer:
a
Step-by-step explanation:
A city government is considering raising the local income tax to pay for improvements to government facilities. A
private citizen opposes the plan and stands on a busy street to survey residents with the question, "Do you agree
that wasteful spending is a serious problem in our local government?" The results of the survey will most likely suffer
from which type of bias?
O This is nonresponse bias because many who are asked the question may choose not to respond.
O This is question wording bias because the question leads those surveyed toward a desired response.
This is voluntary response bias because those with a passionate opinion may choose to participate.
O This is undercoverage bias because in the population will not have the opportunity to register an opinion
many
Answers
The results of the survey will most likely suffer from wording bias.
Wording BiasThe question asked in the survey contains certain characteristics that induce the respondent to think about the question asked in a negative way.
Thus, the word "wasteful" induces respondents to answer the question bearing in mind the negative criticism made by the questioner, which may influence the final answer.
Learn more about bias in https://brainly.com/question/1337465
Answer:
This is question wording bias because the question leads those surveyed toward a desired response.
Will give BRAINLIEST. | 5/2 x | + 2≤4
Answers
Answer:
XE[-4/5,4/5]
Step-by-step explanation:
I can't explain it sorry
Answer:
-4/5 ≤ x ≤ 4/5
Step-by-step explanation:
| 5/2 x | + 2 ≤ 4
| 5/2 x | ≤ 2
| x | ≤ 4/5
x ≤ 4/5
x ≥ - 4/5
-4/5 ≤ x ≤ 4/5
I have no clue how to do this! please help me!!!
Answers
Answer:
The equation has one solution.
A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10
A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10
Step-by-step explanation:
2x=10
Divide both sides by two:
2x/2=10/2
x=5. There is no other solution to the equation, because 5 is the only possible answer.
You design a tree house using a coordinate plane. You plot the vertices of the floor at J(2,1),K(2,8),L(9,8), and M(9,1). The coordinates are measured in feet.
a. Which best describes the shape of the floor?
triangle
square
trapezoid
A rectangle having a length one foot longer than its width.
A rectangle having a length two feet longer than its width.
Question 2
b. What are the perimeter and the area of the floor?
Perimeter:
ft
Area:
ft2
Answers
Answer:
Square
Area = 49
Perimeter =28
Step-by-step explanation:
How to get the area:
Square A= Side x side
Side=7
7x7=49
How to get perimeter:
Add the lengths of the square which is 7
7x4=28
Which number doesn't share the same pattern as
2,20, 4,8,300
Answers
Simplify the expression so there is only one positive power for the base, -5.
Answers
Answer:
c
Step-by-step explanation:
it's a property of powers, when the base is the same (-5) , you need to
sum the powers when both terms are multiplyng
subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)
June's mother was 29 when June was 5 years old. How old will June be when she is one-quarter her mother's age?
Answers
Given f(x)=x^2+6x and g(x)=4 x^2, find fg. fg(x)=
Answers
The composite function f·g(x) is 4x⁴+24x³.
The given functions are f(x)=x²+6x and g(x)=4x².
We need to find f·g(x).
We know that, f·g(x)=f(x)×g(x)
Here, f·g(x)=(x²+6x)×4x²
= x²×4x²+6x×4x²
= 4x⁴+24x³
Therefore, the composite function f·g(x) is 4x⁴+24x³.
To learn more about the function visit:
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Given that 120k is a perfect square, write down the smallest possible value of k.
Answers
If 120k is a perfect square, the smallest possible value of k will be 30.
What is a perfect square?A square number, perfect square, or simply "a square" is what is produced when you multiply an integer (a "whole" number), positive, negative, or zero, times itself. So all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
It is given that, 120k is a perfect square.
We have to find the smallest possible value of k.
The given number can be written in the factorial form is,
120k=3×5×2×4×k
120k=3×5×2×2²×k
120k=2√(3×5×2×k)
If k is 30, the number in the square root is 900 as,
120k=2√(3×5×2×30)
120k=2√900
As we know, √900=30 and 30 is a perfect square,
Thus, if 120k is a perfect square, the smallest possible value of k will be 30.
Learn more about the perfect square here,
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The ratio of boys to girls is 5 to 7 there are 45 boys in the school play how many girls are in the play
Answers
Answer:
63 girls.
Step-by-step explanation:
45 boys divided by 5= 9
9x7= 63 girls
The temperatures in two cities are listed below. How many degrees colder is Ottawa?
Ottawa: -11 degrees
New York: 8 degrees
Answers
9,000 is blank as 900
Answers
PLEASE HELP QUICKLY(25 points)!!
Match the description with the correct answer.
(questions)
———————
y-intercept -
slope-
domain-
range-
is this graph increasing, decreasing or both-
x-intercept-
———————
(answer choices)
(4,0), (0,4), (-2,0), (0,-2), +2, -4,
input values, increasing, decreasing,
both increasing and decreasing, output values
———————
please help quickly its worth 10.34 points on my test
Answers
Answer: In that picture the slope is increasing
Step-by-step explanation: positive rise and positive run (uphill from left to right)
Suppose X,Y and Z are three different random variables. Let X obey a Bernoulli Distribution. The probability distribution function is. c is a constant here.
Let Y obey the Standard Normal (Gaussian) Distribution, which can be written as Y N(0,1). X and Y are independent. Meanwhile, let Z = XY.
Calculate the covariance of Y and Z (Cov(Y, Z)) and determine whether values of c would affect the correlation.
Answers
The value of c does not affect the covariance of Y and Z.
How did we arrive at this assertion?The covariance of Y and Z can be calculated as Cov(Y, Z) = E[YZ] - E[Y]E[Z]. Since X is Bernoulli with parameter p and E[X] = p, we have E[Z] = pE[Y]. Hence,
Cov(Y, Z) = E[YZ] - E[Y]E[Z]
= E[YXY] - pE[Y]^2
= pE[Y^2 X] - pE[Y]^2
= p(E[Y^2]E[X] + Var[Y]p) - pE[Y]^2
= p(1 * p + 1 * p^2) - p^2
= p - p^2
It can be seen that the value of c does not affect the covariance of Y and Z.
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A line passes through (2,-8) and (-6,-3) . Find the equation
Answers
1
x
+
−
4
y
=
−
6
Explanation:
First, we need to determine the slope of the line passing through the two points. The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
3
−
2
6
−
2
=
1
4
Next, we can use the point-slope formula to find an equation for the line. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through. Substituting the slope we calculated and the first point from the problem gives:
(
y
−
2
)
=
1
4
(
x
−
2
)
The standard form of a linear equation is:
A
x
+
B
y
=
C
Where, if at all possible,
A
,
B
, and
C
are integers, and A is non-negative, and, A, B, and C have no common factors other than 1. We can convert the equation in point-slope form to standard form as follows:
First, we need to remove the fraction as all coefficients must be integers. We will multiply each side of the equation by
4
:
4
(
y
−
2
)
=
4
×
1
4
(
x
−
2
)
(
4
×
y
)
−
(
4
×
2
)
=
4
×
1
4
(
x
−
2
)
4
y
−
8
=
1
x
−
2
Next, we will add
8
and subtract
1
x
from each side of the equation to isolate the
x
and
y
terms on the left side of the equation:
−
1
x
+
4
y
−
8
+
8
=
−
1
x
+
1
x
−
2
+
8
−
1
x
+
4
y
−
0
=
0
+
6
−
1
x
+
4
y
=
6
Now, we will multiply each side of the equation by
−
1
to make the
x
coefficient a positive integer:
−
1
(
−
1
x
+
4
y
)
=
−
1
×
6
1
x
+
−
4
y
=
−
6
Answer:
y = -5/8x - 27/4
Step-by-step explanation:
1.) Figure out the slope. We do this by dividing the difference of y-coordinates by the difference of x-coordinates. By doing this, you will get -3-(-8) divided by -6-2, which is equal to -5/8.
2.) Now, by using the point (2, -8) and the slope, you can substitute these points into the slope-point formula to get your equation. If you do this, you would get y + 8 = -5/8 (x - 2), which is simplified to y = -5/8x -27/4.
It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84
Answers
Answer: 0.4337
Step-by-step explanation:
Let X represents the test results for a class that follow a normal distribution .
Given: Mean \(\mu=78\), Standard deviation \(\sigma=36\)
Then, the probability that it is greater than 84 will be
\(P(X>84)=P(\dfrac{X-\mu}{\sigma}>\dfrac{84-78}{36})\\\\=P(Z>0.167)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<0.167)\\\\=1-0.5663=0.4337\ [\text{By p-value table}]\)
Hence, the required probability = 0.4337
WILL MARK BRAINLIEST!
Given: parallelogram ABCD, calculate the length of AD
Answers
Answer:
15
Step-by-step explanation:
Due to it being a parallelogram 6x-10=3x+5 which makes it 3x-10=5 when you subtract both sides by 3x then you add 10 to both sides to make 3x = 15 which gets you x = 5 finally you put this into 4x-5 which is 4*5-5, 20-5=15 so the answer is 15
Would be amazing if you marked this brainliest :)
Donna, Alonzo, and Kevin served a total of 85 orders Monday at the school cafeteria. Donna served 10 fewer orders than Alonzo. Kevin served 3 times as
many orders as Alonzo. How many orders did they each serve?
Answers
Answer:
So, Donna served 9, Alonzo served 19 and kevin served 57 orders.
Step-by-step explanation:
Let orders be :
Donna - x, Alonzo - y, Kevin - z
x = y - 10 - eqn i
z = 3y - eqn ii
Now, By the question,
x + y + z = 85
we know from eqn i and eqn ii,
y - 10 + y + 3y = 85
or, 5y = 95
so, y = 19
Now,
z = 3(19) = 57
x = 19 - 10 = 9
What is 534.8 x 17 in long multiplication?
Answers
Answer:
Step-by-step explanation: 9091.6
Answer:
9091.6
Step-by-step explanation:
21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Answers
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
Ethan decides to type up some documents while waiting the meeting to start.He can type 2 pages every 1/8 hour.If the meeting started 3/4 hour later than the scheduled time,how many pages can he type before the meeting starts?
Answers
Answer: 4 pages
Step-by-step explanation:
To solve this problem, we need to use the formula:
Rate = Output/Time
Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.
Rate = 2 pages/(1/8 hour) = 16 pages/hour
Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.
Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages
Therefore, Ethan can type 4 pages before the meeting starts.
Answer: 4 pages
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answers
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000