Answers
This data should be displayed as a Histogram as there are specified into different ranges.
Bar graphs should be chosen only when they are divided into various categories.
Plot the data's in Histogram format like this (range to range):
Related Questions
proving trigonometric identities
2(cosx sinx-sinx cos2x)/sin2x =secx
Answers
This is not an identity.
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} \neq \sec(x)[/tex]
Check x = π/4, for which we have cos(π/4) = sin(π/4) = 1/√2. Together with sin(2•π/4) = sin(π/2) = 1 and cos(2•π/4) = cos(π/2) = 0, the left side becomes 1, while sec(π/4) = 1/cos(π/4) = √2.
Keeping the left side unchanged, the correct identity would be
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = -2\cos(x) + 1 + \sec(x)[/tex]
To show this, recall
• sin(2x) = 2 sin(x) cos(x)
• cos(2x) = cos²(x) - sin²(x)
• cos²(x) + sin²(x) = 1
Then we have
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = \dfrac{2\cos(x)\sin(x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = \dfrac{\sin(2x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)(\cos^2(x) - \sin^2(x))}{2 \sin(x)\cos(x)} \\\\ = 1 - \dfrac{\cos^2(x) - \sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{\sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{1 - \cos^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \sec(x) - \cos(x) \\\\ = -2\cos(x) + 1 + \sec(x)[/tex]
which of the following is true for the relation f(x)-x^2+8
Answers
Answer: A
Step-By-Step Explanation: if n is greater than or equal to 2 is an add integer then the domain of: f(x)-x^2+8 is the solution to the inequality 2+8 greater than or equal to 0. which of the following statements is true?
Use the distributive property to write an equivalent expression to:
3 over 4 minus 1 half left parenthesis 4 x minus 1 half right parenthesis
Answers
Answer:
11/4
Step-by-step explanation:
The question in math symbols 3/4 - 1/2(4*-1)
By Pemdas (order of operations) we start with the parenthesis
3/4 - 1/2(4*-1) = 3/4 - 1/2(-4)
Because there are parenthesis next to a number, this is a multiplication
3/4 - 1/2(-4) = 3/4 - (-2)
The double negative can be converted into a positive
3/4 - (-2) = 3/4 + 2
Then we can convert the 2 into a fraction of fourths
3/4 + 2 = 3/4 + 8/4
Now we just add the numerators and keep the denominator
3/4 + 8/4 = 11/4
A box contains 50 batteries, of which 10 are dead and 5 are weak. Suppose you select batteries at random from the box and set them aside for recycling if they are dead or weak. If the first battery you select is dead and the second one is weak, what is the probability that the next battery you select will be weak?
Answers
Given: 50 total batteries, of which 10 are dead and 5 are weak. This is represented by: 10/50 (simplifies to 1/5) and 5/50 (simplifies to 1/10).
If the batteries are being set aside, it likely means no replacement. For every battery taken out of the box, the box holds one less battery.
Probability of selecting 1 dead, 1 weak, 1 weak is written as: (10/50)*(5/49)*(4/48) = 1/588.
Question 2(Multiple Choice Worth 2 points)
(04.03 MC)
4x-7
Given f(x) =
8x+8
what is the end behavior of the function?
Answers
The end behavior is that as x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity
How to determine the end behavior?The function is given as:
f(x) = 8x+8
The above function is a linear function.
A linear function is represented as:
f(x) = mx + b
This means that the slope of f(x) is 8 (a positive number)
For a linear function with a positive slope, the end behavior is that:
As x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity
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10. Complete the equation to make a true statement. Use the number
bank to fill in the statement.
-7-4
-4-2 1 2 3
Enter your answers in the boxes:
7
-
=
7
[
OA. 3,-4
B. 2,-2
O C. 1;-4
D. 2; 3
+
* 1 pc
Answers
The option (B) 2,-2 is correct because the number satisfy the provided expression.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a number bank shown in the picture.
The problem given:
7 - __ = 7 + __
A. 3,-4
Checking for the above option:
7 - 3 = 7 - 4
4 = 3 (false)
B. 2,-2
Checking for the above option:
7 - 2 = 7 - 2
5 = 5 (true)
O C. 1;-4
Checking for the above option:
7 - 1 = 7 - 4
6 = 3 (false)
D. 2; 3
Checking for the above option:
7 - 2 = 7 + 3
5 = 10 (false)
Thus, the option (B) 2,-2 is correct because the number satisfy the provided expression.
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-
If f(x) = 3x² − 4 and g(x) = 2x − 6, what is g(f(2))?
Answers
[tex]\\ \rm\Rrightarrow g(f(2))[/tex]
[tex]\\ \rm\Rrightarrow g(3(2)²-4)[/tex]
[tex]\\ \rm\Rrightarrow g(12-4)[/tex]
[tex]\\ \rm\Rrightarrow g(8)[/tex]
[tex]\\ \rm\Rrightarrow 2(8)-6[/tex]
[tex]\\ \rm\Rrightarrow 16-6[/tex]
[tex]\\ \rm\Rrightarrow 10[/tex]
Answer:
[tex]g[f(2)] = 10[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=3x^2-4\\g(x)=2x-6\end{cases}[/tex]
Find f(2) by substituting [tex]x = 2[/tex] into function f(x):
[tex]\begin{aligned}\implies f(2)& =3(2)^2-4\\& = 3(4)-4\\& = 12-4\\& = 8\end{aligned}[/tex]
Now substitute the found value of f(2) into function g(x):
[tex]\begin{aligned}g[f(2)] & = 2[f(2)]-6\\\implies g[f(2)] & =2(8)-6\\& = 16-6\\& = 10\end{aligned}[/tex]
can someone help me here
NONSENSE=REPORT
Answers
[tex] \huge \qquad \sf \: Answer[/tex]
Here we go ~
1. A circle can be named by their Centre, so here in the diagram it's :
Circle A2. Name 4 radii :
Radii are the line segments that joins the centre and boundary of circle.
They are :
FAGABACA3. 2 Major arcs :
considering two points on a circle, and joining them forms a curve ( you can say part of circumference )
When we consider two points two arcs are formed and the arc with more length is known as Major Arc
That is :
Major arc ECFMajor arc BEC4. A Semicircle :
Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.
that is :
Arc CF is a Semicircle5. 3 minor arcs :
The arc formed by two points having lesser length is known as minor arc.
that is :
Arc EFArc BGArc FG6. 3 Central angles :
Central angles are angles formed by arcs on centre of the circle ~
that is :
Angle FABAngle BAC Angle GAB7. A diameter :
Diameter is a chord that passes through centre of the circle.
CF8. Congruent Angles :
In the given figure, there are two equal/congruent angles that are ~
Angle BAG and Angle GAF9. Adjacent arcs :
The arcs that have one common end point are known as Adjacent arcs ~
that are :
Arc FG and Arc GBAnswer:
A circle is named by its center. The center of the given circle is A, therefore:
Name of the circle: A
The radius is any line segment from the center of the circle to the perimeter.
Name 4 radii: [tex]\sf AC, \quad AB, \quad AG, \quad A\,F[/tex]
A major arc is an arc whose measure is greater than 180°.
When naming a major arc, the first point and last point are the endpoints, and we also need include the name of any point between those two endpoints.
2 major arcs: [tex]\sf \widehat{CEG},\quad \widehat{BCF}[/tex]
A semi-circle is half a circle with an arc that measures 180°.
Its endpoints lie on the diameter of the circle. We need three points to name a semicircle (the endpoints and a point between the endpoints).
A semi-circle: CEF
A minor arc is an arc whose measure is less than 180°.
3 minor arcs: [tex]\sf \widehat{FG}, \quad \widehat{GB}, \quad \widehat{BC}[/tex]
A central angle has its vertex at the center of the circle, and is formed by 2 radii. When naming the central angle, the middle letter is the center of the circle.
3 central angles: [tex]\sf \angle F\,AG, \quad \angle GAB, \quad \angle BAC[/tex]
The diameter is the widest part of the circle. It is a straight line segment that passes through the center of the circle.
A diameter: CF
Congruent angles are angles with the same measure.
On the diagram, the same angle measures are indicated by the addition of the same number of dashes on the angle sign.
Congruent angles: [tex]\sf \angle F\,AG, \quad \angle GAB[/tex]
Adjacent arcs are arcs that have one point in common.
Adjacent arcs: [tex]\sf \widehat{GB}[/tex] and [tex]\sf \widehat{BC}[/tex] (they share point B)
To properly use the Addition Property of Equality what number would have to be added in the equation, 14 = x - 6?
A -14
B 14
C -6
D 6
Answers
Addition Property of Equality is basically a complex way of saying add the same number to both sides. In this problem we are trying to isolate x for it to be by itself so we must deal with -6. Since we have -6 on one side we must use the "Addition Property of Equality" to add 6 to both sides which would cancel out the -6 and add 6 to 14.
Therefore, the option that best fits the description on what number we would have to use to get added in the equation would be option D, 6.
HELP THIS IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :((((((((((((((((
Answers
Answer:
1)acute triangle
2) right angle
3) obtuse triangle
Step-by-step explanation:
please mark me as brainlest
Answer:
1. Acute 2. Obtuse 3. Right
Step-by-step explanation:
Obtuse Triangle Definition
An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It's impossible for a triangle to have more than one obtuse angle.
Acute Triangle Definition
An acute triangle is defined as a triangle in which all of the angles are less than 90°. In other words, all of the angles in an acute triangle are acute.
A Right Triangle has a right angle
Hope this helps.
Find the value of x y and z
Answers
Answer:
x = 115° , y = 65° , z = 115°
Step-by-step explanation:
x and 65° are a linear pair and sum to 180°
x + 65° = 180° ( subtract 65° from both sides )
x = 115°
y and 65° are vertically opposite angles and are congruent , then
y = 65°
x and z are vertically opposite angles and are congruent , then
z = x = 115°
CPA is parallel to BPD and so it is also equal to 65 degrees
And all you have to do to find CPB is 180-65=115 and CPB is Parallel to APD thus, its equal to 115 too!
CPA= 65 degrees
BPD=65 degrees
APD= 115 degrees
CPB=115 degrees
Hope i helped
TheOneAndOnlyLara~
when the positive integer x is divided by 5, the remainder is 3. what is the remainder when X +19 is divided by five
Answers
Answer:
_4
Step-by-step explanation:
x+19/5=3 cross multiply
x+19=3*5
x+19=15
x=15-19
x=-4
The remainder when (x + 19) is divided by 5 is 2.
If the positive integer x has a remainder of 3 when divided by 5, it can be represented as:
x = 5a + 3, where "a" is a non-negative integer.
Now, let's consider the expression (x + 19) and determine the remainder when it is divided by 5:
x + 19 = (5a + 3) + 19
= 5a + 22
When we divide 5a + 22 by 5, we find:
(5a + 22) = 5(a + 4) + 2
Therefore, the remainder when (x + 19) is divided by 5 is 2.
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Which of the following is the formula for the volume of a cube? a. s3 b. s2 c. π r2 d. π r3
Answers
Answer:
s³Step-by-step explanation:
Which of the following is the formula for the volume of a cube?
a. s³
b. s²
c. π r²
d. π r³
V = s³
The measure of angle CDE is
degrees.
Answers
CDE = CDB + BDA + ADE
CDE = 42° + 37° + 20°
CDE = 99°
hope it helps...!!!
Answer:99 degrees
Step-by-step explanation:
Angle CDB + Angle BDA + Angle ADE= Angle CDE
42+37+20=99
2. Find the value of x and y rounded to the nearest tenth.
x
34
45°
30°
a.
x = 24.0, y = 46.4
c.
x = 48.1, y = 139.3
d. x = 48.1, y = 46.4
b. x = 24.0, y = 139.3
Answers
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.First, we start with the vertical line h that divides y, that is opposite to an angle of 30º, with hypotenuse 34, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
[tex]\sin{45^\circ} = \frac{17}{x}[/tex]
[tex]x = \frac{17}{\sin{45^\circ}}[/tex]
x = 24.
y is divided into two segments.
The first is the adjacent to the angle of 30º, while the hypotenuse is 34.The second is adjacent to the angle of 45º, while the hypotenuse is 24.Then:
[tex]\cos{30^\circ} = \frac{y_1}{34}[/tex]
[tex]y_1 = 34\cos{30^\circ} = 29.4[/tex]
[tex]\cos{45^\circ} = \frac{y_2}{24}[/tex]
[tex]y_2 = 24\cos{45^\circ} = 17[/tex]
Then, the value of y is given by:
[tex]y = y_1 + y_2 = 29.4 + 17 = 46.4[/tex].
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expression equivlant (x+5)^2
Answers
Answer:
(x+5) (x+5)
Step-by-step explanation:
it's just (x+5)^2 twice
What is negative 8 times 9 times negative 5 minus negative 14
Answers
(-8 * 9 * -5 )- -14
360 - - 14 = 360 + 14 = 374
John travelled 450km using 31 litres of petrol. (km/litre)
Answers
Answer:
its SUMMER wth
Step-by-step explanation:
Its time too TURN UPPP!
Answer:
450/31=14.51km/litre
Which could be the missing data item for the given set of data if the median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15 A. 18
B. 24
C. 45
D. 57
Answers
Answer:
It's A
Step-by-step explanation:
Thx to the guy in the comments above
Answer:
It's A
Step-by-step explanation:
It's right
Solve y = x + 8 for x.
Ox=y+8
Ox=y-8
Ox=-y + 8
Ox=-y-8
Answers
Answer:
x= -y+8
Step-by-step explanation:
hope it's helpful
What is the inverse of the function f(x) =
1/9x+ 2?
Answers
Answer:
[tex]f^{-1}(x) = 9x -18.[/tex]
Step-by-step explanation:
[tex]y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.[/tex]
Choose the correct alternative.
the earnings of ahmed and bekhit are in the ratio 3:7 and that of bekhit and saeed is 4:9 and that of mohammed and saeed is 7:6. if the sum of the earnings of ahmed, bekhit, saeed, and mohammed is aed 52,950, then what are the earnings of mohammed?
aed 21,050
aed23,050
aed 24,050
aed33,050
Answers
Using a system of equations, it is found that the earnings of Mohammed are given by: 18,212 aed.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Earnings of Ahmed.Variable y: Earnings of Bekhit.Variable z: Earnings of Saeed.Variable w: Earnings of Mohammed.The earnings of ahmed and bekhit are in the ratio 3:7, hence:
[tex]\frac{x}{y} = \frac{3}{7}[/tex]
[tex]3y = 7x[/tex]
[tex]y = \frac{7x}{3}[/tex]
That of bekhit and saeed is 4:9, hence:
[tex]\frac{y}{z} = \frac{4}{9}[/tex]
[tex]4z = 9y[/tex]
[tex]z = \frac{9y}{4}[/tex]
[tex]z = \frac{63x}{12}[/tex]
The ratio of mohammed and saeed is 7:6, hence:
[tex]\frac{z}{w} = \frac{7}{6}[/tex]
[tex]7w = 6z[/tex]
[tex]w = \frac{6z}{7}[/tex]
[tex]w = \frac{378x}{84}[/tex]
The sum is of 52950, hence:
[tex]x + y + z + w = 52950[/tex]
[tex]x + \frac{7x}{3} + \frac{63x}{12} + \frac{378x}{84} = 52950[/tex]
[tex]1099x = 52950 \times 84[/tex]
[tex]x = \frac{52950 \times 84}{1099}[/tex]
[tex]x = 4047[/tex]
Hence, Mohammed earnings in aed are given as follows:
[tex]w = \frac{378 \times 4047}{84} = 18212[/tex]
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Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus | Junior) = [?]
Round to the nearest hundredth.
Answers
Using it's concept, it is found that the desired probability is given by:
P(Take the bus | Junior) = 0.5714 = 57.14%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:
P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.
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What is Parabola?
What is the transformation of parabolas?
Answers
Answer:
What is Parabola:
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
What is the transformation of parabolas?
The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards. Similarly, we can translate the parabola horizontally
Step-by-step explanation:
can i have help with this
Answers
Answer:
2^1
Step-by-step explanation:
a^m/a^n = a^(m-n)
so, 2^8/2^7 = 2^(8-7) = 2^1
hope this helps :)
If we observe closely ,
It is in the form of [tex]a^{m}/a^{n}[/tex]
Which is equal to [tex] a^{m-n}[/tex]
Now from given , we get it is [tex]2^{8-7}[/tex] = [tex] 2^{1}[/tex]
Option a is correct
A sequence has a second term of 1 and a common difference of -3.
The fifth term of the sequence is
10
-5
-11
-8
Answers
Answer:
-11
Step-by-step explanation:
I don't know how to type Numerical using a cellphone
Use the given values to complete the table for the function below
y=2x^2+8x-5
Answers
Which equation represents an inverse variation?
O y = 2x
O y= f
0 y=
4
5
O y = -5x
Answers
Answer:
its y=2x so yaa thats ittt
i need help on this may you help
Answers
Answer:
should be 63
Step-by-step explanation:
For his phone service, Chris pays a monthly fee of $25, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $86.74.
What are the possible numbers of minutes he has used his phone in a month?
Use M for the number of minutes, and solve your inequality for M.
Answers
Answer:
1029 minutes or 17.15 hours
Step-by-step explanation:
25+0.06M=86.74
0.06M=61.74
M=61.74/0.06=1029