Answer:
The simplified expressions are
1) a - b + c + m + n
2) x + a + m - 2
3) m + a - k - b
4) x + a - b - c + d
Step-by-step explanation:
1) a - (b - c) + (m + n)
To simplify the above expression, we have;
a - (b - c) + (m + n) = a - b - (-c) + m + n = a - b + c + m + n
2) x + a + (m - 2)
To simplify the above expression, we have;
x + a + (m - 2) = x + a + m - 2
3) m + (a - k - b)
To simplify the above expression, we have;
m + (a - k - b) = m + a - k - b
4) x + (a - b) - (c - d) = x + a - b - c -(- d)) = x + a - b - c + d
Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below. Represent the interval where both functions are increasing on the number line provided.
In order to solve this problem, we will need a little more information, for example, we need to know what the functions are. Let's say the problem looks like this:
Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below.
[tex]f(x)=|3x|-3[/tex]
and
[tex]g(x)=-x^{2}+8x-5[/tex]
Represent the interval where both functions are increasing on the number line provided.
Answer:
See attached picture
Step-by-step explanation:
Since this problem is posted on the algebra section of Brainly, I assume we will need to make use of an algebraic approach to solve this. Basically, the idea is to graph the functions and find the x-values for which both functions increas. In order to graph the functions, we will need to build a table with points for each of the functions. In order to graph the functions you need to pick the x-values you wish and evaluate them in the given functions. (See attached pictures)
Once you got the desired points, you can plot them in the coordinate axis and find the x-values for which both graphs will be increasing. If we take a close look at the graphs we can see the f(x) graph increases in the interval:
(0,∞)
and the g(x) graph increases in the interval:
(-∞,4)
so the interval in which both graphs are increasing will be the region where both intervals cross each other, which will be (0,4)
so that's the interval we draw on our number line. (see attached picture.
Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
If events A and B are independent, what must be true?
P(A|B) = P(B)
P(A|B) = P(A)
P(A) = P(B)
P(A|B) = P(B|A)
Answer:
P(A|B) = P(A)
Step-by-step explanation:
If events A and B are independent, then we have:
P(A) x P(B) = P(A⋂B)
As the conditional probability formula states:
P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)
=> P(A) x P(B) = P(A|B) x P(B) = P(B|A) x P(A)
or
P(A) = P(A|B)
or
P(B) = P(B|A)
Answer:
B
Step-by-step explanation:
1) Suppose f(x) = x2 and g(x) = |x|. Then the composites (fog)(x) = |x|2 = x2 and (gof)(x) = |x2| = x2 are both differentiable at x = 0 even though g itself is not differentiable at x = 0. Does this contradict the chain rule? Explain.
Answer:
This contradict of the chain rule.
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=|x|[/tex]
It is given that,
[tex](f\circ g)(x)=|x|^2=x^2[/tex]
[tex](g\circ f)(x)=|x^2|=x^2[/tex]
According to chin rule,
[tex](f\circ g)(c)=f(g(c))=f'(g(c)g'(c)[/tex]
It means, [tex](f\circ g)(c)[/tex] is differentiable if f(g(c)) and g(c) is differentiable at x=c.
Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (–6, –4) (0, –1) (0, –2) (2, 0)
Answer:
The solution of the system of equations is (x,y) = (2,0)
Step-by-step explanation:
The equation of a line through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to:
[tex]y-y_1=m(x-x_1)[/tex]
Where [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, the equation of the line through the points (3, 1) and (–5, –7) is:
[tex]m=\frac{-7-1}{-5-3}=1[/tex]
[tex]y-1=1(x-3)\\y=x-3+1\\y=x-2[/tex]
Then, we have two equations, y=x-2 and y=0.5x -1 , so solving for x, we get:
x - 2 = 0.5 x - 1
x - 0.5x = 2 - 1
x = 2
Replacing x=2 in the equation y=x-2, we get:
y =2 - 2 = 0
Finally, the solution of the system of equations is (x,y) = (2,0)
Answer:The solution of the system of equations is (x,y) = (2,0)
Step-by-step explanation:
What is the simplified form of 5x-9x
Answer:
-4x
Step-by-step explanation:
5x - 9x
Factor out x
x( 5-9)
x ( -4)
-4x
What is the equation of the line of best fit for the following data? Round the
slope and yintercept of the line to three decimal places.
Need help ASAP!!
Answer:
The second choice should be the best fit line.
Enter a range of values for x.
85°
25
5x - 10
[ ? ]
Enter
==================================================
Explanation:
We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.
Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)
In symbols we say
5x - 10 < 25
We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.
Put the two inequalities together and we get 0 < 5x - 10 < 25
------------
Solve for x
0 < 5x - 10 < 25
0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides
10 < 5x < 35
10/5 < 5x/5 < 35/5 ... dividing all sides by 5
2 < x < 7
We have x between 2 and 7, and not equal to either endpoint.
If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A triangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)
Correct question :
If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)
Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)
Step-by-step explanation:
Given the following :
A triangle with base x + 2, height x, and side length x + 4 - - - -
b = x + 2 ; a = x ; c = x + 4
Perimeter (P) of a triangle :
P = a + b + c
P =( x + 2) + x + (x + 4) - - - (1)
A rectangle with length of x + 3 and width of one-half x
l = x + 3 ; w = 1/2 x
Perimeter of a rectangle (P) = 2(l+w)
P = 2(x+3) + 2(1/2x)
If perimeter of each same are the same ; then;
(1) = (2)
(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)
Answer:
B
Step-by-step explanation:
find the value of a and explain
Answer:
D
Step-by-step explanation:
The triangle is an isosceles triangle which means that two sides are the same, A is the same size of the equal side so A is D.
Answer:
The answer is D.
Find the measure of AEC and BED
Answer:
30°
Step-by-step explanation:
well AEB is a straight line which is 180° and we were already given the angles that made up the straight line ,so all u had to do was subtract 60° from 90°
BED =30°
Answer:
AEC=30
BED=30
Step-by-step explanation:
We know that AEC is 30 degrees because it is on line AB, along with a right angle and 60 degrees, add 90 to 60 to get 150, and subtract it from 180 to get your answer, 30
As for BED, AEC and BED are verticle angles so they are equivalent.
If you found this helpful, please consider giving me brainliest, it will help me a lot
Have a good day! :)
What the answer now now
Answer:
The area of the triangle is [tex]346.0\ mm^2[/tex]
Step-by-step explanation:
Given
Triangle VWU
Required
Determine the Area of the Triangle
First, we'll solve for the third angle
Angles in a triangle when added equals 180; So
[tex]36 + 24 + <V = 180[/tex]
[tex]60 + <V = 180[/tex]
[tex]<V = 180 - 60[/tex]
[tex]<V = 120[/tex]
Next is to determine the length of VW using Sine Law which goes thus
[tex]\frac{VW}{Sin24} = \frac{34}{Sin36}[/tex] (Because 24 degrees is the angle opposite side VW)
Multiply both sides by Sin24
[tex]SIn24 * \frac{VW}{Sin24} = \frac{34}{Sin36} * Sin24[/tex]
[tex]VW = \frac{34}{Sin36} * Sin24[/tex]
[tex]VW = \frac{34}{0.5878} * 0.4067[/tex]
[tex]VW = 23.5 mm[/tex] (Approximated)
At this stage, we have two known sides and two known angles;
The Area can be calculated as the 1/2 * the products of two sides * Sin of the angle between the two sides
Considering VW and VU
VW = 23.5 (Calculated);
VU = 34 (Given)
The angle between these two sides is 120 (Calculated);
Hence;
[tex]Area = \frac{1}{2} * 23.5 * 34 * Sin120[/tex]
[tex]Area = \frac{1}{2} * 23.5 * 34 * 0.8660[/tex]
[tex]Area = \frac{1}{2} * 691.934[/tex]
[tex]Area = 346.0 mm^2[/tex]
Hence, the area of the triangle is [tex]346.0\ mm^2[/tex]
Brahmagupta’s solution to a quadratic equation of the form ax2 + bx = c involved only one solution. Which solution would he have found for the equation 3x2 + 4x = 6?
Answer:
0.897
Step-by-step explanation:
Brahmagupta formula for quadratic equation [tex]ax^2+bx=c[/tex] is
[tex]x=\dfrac{\sqrt{4ac+b^2}-b}{2a}[/tex]
It involved only one solution.
The given equation is
[tex]3x^2+4x=6[/tex]
Here, a=3, b=4 and c=6. Put these values in the above formula.
[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]
[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]
[tex]x=\dfrac{\sqrt{72+16}-4}{6}[/tex]
[tex]x=\dfrac{\sqrt{88}-4}{6}[/tex]
[tex]x\approx \dfrac{5.38}{6}[/tex]
[tex]x\approx 0.897[/tex]
Therefore, the required solution is 0.897.
HELP!!
According to the graph, what is the value of the constant in the equation below?
Answer:
The answer is option BStep-by-step explanation:
To find the constant in the equation pick any values of x and y and substitute it into the equation
First make constant the subject
constant = height × width
From the question
Using
height = 30
width = 2
We have
constant = 30 × 2 = 60
Again
Using
height = 12
width = 5
constant = 12 × 5 = 60
Since the constant is the same for any values used
constant = 60Hope this helps you
A homeowner measured the voltage supplied to his home on 41 random days, and the average (mean) value is volts. 128.5 Choose the correct answer below. A. The given value is a for the because the data collected represent a . statistic year population B. The given value is a for the because the data collected represent a . statistic year sample C. The given value is a for the because the data collected represent a . parameter year sample D. The given value is a for the because the data collected represent a .
Answer:
B. The given value is a for the because the data collected represent a . statistic year sample
Step-by-step explanation:
A population is the total of similar items that are of interest to the researcher.
Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.
A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.
In this scenario the population is the whole year, and the sample is 41 days.
So the mean derived from the sample is statistic of sample from the year.
This can be used to make deductions about the whole year.
Plz help!
i Cant answer it
Answer: (4,90)
Step-by-step explanation:
In a coordinate pair, the first number represents the x-axis and the second represents the y-axis.
Hope it helps <3
Answer:
C (4,90)
Step-by-step explanation:
In the graph, the point P is on 4 along the x-axis,
and 90 on the y-axis,
therefore making it's coordinates (4, 90).
Hope this helped! :)
How many solutions are there to |x|=-8
Answer:No solution
Step-by-step explanation:An absolute value equation cannot equal a negative number
Can someone please help me with this and show work
Answer:
29/6-16/2549/30Rationalize(1.63333333333)1*(19/30)Find the value of x in the triangle shown below.
Answer: x=25
Step-by-step explanation: There are 180 degrees in a triangle. Two of the angles (56 and 99) add up to 155. The last angle, which is x, is 180-155. Therefore, x is 25.
hope this helped you:)
Answer:
The answer is 25°.
Step-by-step explanation:
simply,
here, a triangle of measure 99° and 56° is given.
now, we have;
99°+56+ x= 180° ( sum of an interior angle of a triangle is 180°)
or, 155°+x= 180°
or, x= 180°-155°
therefore, the value of x is 25°.
hope it helps..
Middle school help???? fast
Answer:
8.4 ft
Step-by-step explanation:
Perimeter = side x 4
(Re-arrange)
Side = Perimeter / 4
34/4 = 8.4 ft
Answer:
8.5 feet
Step-by-step explanation:
Divide 34 by 4. A square has 4 sides which are all the same.
Please answer this question now
Answer:
y = 9.1
Step-by-step explanation:
By applying Sine rule in the given triangle WXY,
[tex]\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinX}}{\text{WY}}[/tex]
[tex]\frac{\text{SinW}}{\text{w}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinX}}{\text{x}}[/tex]
Since m∠W + m∠X + m∠Y = 180°
m∠W + 58° + 106° = 180°
m∠W = 180° - 164°
m∠W = 16°
[tex]\frac{\text{Sin16}}{\text{w}}=\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}[/tex]
[tex]\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}[/tex]
y = [tex]\frac{8\times (\text{Sin106})}{\text{SIn58}}[/tex]
y = 9.068
y ≈ 9.1
30 points **please help quadratic relations - will give brainlist to first one who answers
Answer:
See attached figure with table filled in.
Step-by-step explanation:
Answer:
[tex]\boxed{\mathrm{view \: attachment }}[/tex]
Step-by-step explanation:
Vertex is the highest or lowest point of a parabola.
Axis of symmetry is the line that cuts the parabola in half.
y-intercept is the point where the parabola touches the y-axis.
The maximum or minimum values are the highest or lowest values the parabola can reach.
x-intercepts are the points where the parabola touches the x-axis.
Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)
Answer:
Relative frequencies:
Headaches = 23.55 %
Hypertension = 8.68%
Upper respiratory tract infections =24.79%
Nasopharyngitis = 21.07
Diarrhea = 21.09%
None of these adverse reactions appear to be much more common than the others.
Step-by-step explanation:
Compute frequency:
The number of adverse reactions categories:
Headaches
Hypertension
Upper respiratory tract infections
Nasopharyngitis
Diarrhea
Frequency of each adverse reaction:
Adverse reaction Frequency
Headaches 57
Hypertension 21
Upper respiratory tract infections 60
Nasopharyngitis 51
Diarrhea 53
Compute total frequency
Total frequency is compute dby taking sum of all frequencies;
Sum of frequencies = 57 + 21 + 60 + 51 + 53
= 242
Compute relative frequency:
In order to find if any one of these adverse reactions appear to be much more common than the others, we have to compute relative frequency using these adverse reactions.
By calculating relative frequency we are looking at the number of times a specific adverse reaction appears to be more common, compared to the others.
To calculate relative frequency, divide the frequency of each adverse reaction by the total frequency i.e. 242.
Relative frequency for Headache = 57 / 242
= 0.2355
= 23.55 %
Relative frequency for Hypertension = 21 / 242
= 0.0868
= 8.68 %
Relative frequency for Upper respiratory tract infections = 60 / 242
= 0.2497
= 24.97 %
Relative frequency for Nasopharyngitis = 51 / 242
= 0.2107
= 21.07 %
Relative frequency for Diarrhea = 53 / 242
= 0.2190
= 21.90 %
If you observe the relative frequencies of all the adverse reactions, none of them appear to be much more common than the others. Relative frequencies of headaches, upper respiratory tract infections, nasopharyngitis and diarrhea are almost equally common however, relative of hypertension appears to be very less than the other three.
Eight of your friends came to your house to watch a movie. Three-fourths of your friends stayed overnight. How many friends stayed?
Answer:
6 friends
Step-by-step explanation:
8 friends came to watch the movie.
3/4 of them stayed overnight.
The number of people that stayed overnight will be the product of 3/4 by 8:
3/4 * 8 = 24 / 4 = 6
6 friends stayed overnight.
Answer:
6 friends because the three fourths are gone
Step-by-step explanation:
A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multiplied by a factor of 2? 3? 5? 10? B. Describe the pattern in part (a).
Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
[tex]A_{1}[/tex] = 2πrh
If multiply both dimensions by a factor of 2:
[tex]A_{2}[/tex] = 2.π.2r.2h
[tex]A_{2}[/tex] = 8πrh
Comparing [tex]A_{1}[/tex] to [tex]A_{2}[/tex] :
[tex]\frac{A_{2}}{A_{1}}[/tex] = [tex]\frac{8.\pi.rh}{2.\pi.rh}[/tex] = 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
By factor 3:
[tex]A_{3} = 2.\pi.3r.3h[/tex]
[tex]A_{3} = 18.\pi.r.h[/tex]
Comparing areas:
[tex]\frac{A_{3}}{A_{1}}[/tex] = [tex]\frac{18.\pi.r.h}{2.\pi.r.h}[/tex] = 9
Multiplying by 3, gives an area 9 times bigger.
By factor 5:
[tex]A_{5} = 2.\pi.5r.5h[/tex]
[tex]A_{5} = 50.\pi.r.h[/tex]
Comparing:
[tex]\frac{A_{5}}{A_{1}}[/tex] = [tex]\frac{50.\pi.r.h}{2.\pi.r.h}[/tex] = 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.
Please answer this question now
Answer:
<S = 62 degrees
Step-by-step explanation:
For this problem, you need to understand two things. A line tangent to a circle's radius creates a 90-degree angle, and the sum of the interior angles of a triangle is 180 degrees. With that said, let's continue.
<S + <P + <Q = 180
<S + 90 + 28 = 180
<S + 118 = 180
<S = 62
Hence, <S = 62 degrees.
Cheers.
Can someone please help me Just the answer no need to explain it.
Answer:
C
Step-by-step explanation:
When you use pemdas, it gives the value of 1/32
in a quiz bhaskar scored -60,20and0and tamanna scored 20,0and60 in three successive rounds.who socred more
Answer:
Tamanna scored more.
Step-by-step explanation:
Bhaskar scored -60, 20 and 0. His total score is therefore:
-60 + 20 + 0 = -40
Tamanna scored 20, 0, 60. His total score is therefore:
20 + 0 + 60 = 80
Therefore, Tamanna scored more.
Evaluate 7m + 2n - 8p/n for m = –4, n = 2, and p = 1.5.
Answer:
-30
Step-by-step explanation:
7m + 2n - 8p/n
Let m = –4, n = 2, and p = 1.5
7(-4) + 2 ( 2) -8*(1.5)/2
-28 + 4 - 4*1.5
-28+ 4 - 6
-30
Answer:
-30
Step-by-step explanation:
Hey there!
Well given,
m = -4
n = 2
p = 1.5
We need to plug those number into,
7m + 2n - 8p/n
7(-4) + 2(2) - 8(1.5)/(2)
-28 + 4 - 12/2
-28 + 4 - 6
-24 - 6
-30
Hope this helps :)
True or False: In a uniform probability distribution, any random variable is just as likely as any other random variable to occur, provided the random variables belong to the distribution.'
Answer:
True
Step-by-step explanation:
trust me, i remember this question
Which is a diagonal through the interior of the cube? Side A H Side B E Side C H Side F G
Answer:
Option (A)
Step-by-step explanation:
Every cube has 8 vertices and 6 faces.
Cube shown in the picture attached,
Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.
Therefore, from the given options diagonal of the interior of the cube will be Side AH.
Option A will be the answer.
Answer:
the awnser is A
Step-by-step explanation:
i took a quiz