The histograms typically are used to display continuous measures.
Charts TypesThere are different types of charts: histogram, line chart, pie chart, and others.
The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.
From the explanation, it is possible to identify the histograms typically are used to display continuous measures.
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On a coordinate plane, 2 dashed lines are shown. The first straight line has a negative slope and goes through (0, 1) and (2, 0). Everything below and to the left of the line is shaded. The second straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything above and to the left of the line is shaded. A point is shown at (negative 3, 1).
Which system of inequalities with a solution point is represented by the graph?
y > 2x – 2 and y < Negative one-halfx – 1; (3, 1)
y > 2x – 2 and y < Negative one-halfx + 1; (–3, 1)
y > 2x + 2 and y < Negative one-halfx – 1; (3, 1)
y > 2x + 2 and y < Negative one-halfx + 1; (–3, 1)
Answer:
Using the concepts of coordinate system and equation of line, we find that y ≥ (1/3)x + 3 and 3x-y > 2 are represented by the graph.
Step-by-step explanation:
Equation of line passes through points (a, b) and (c, d) is given by:
y-b = [(d-b) / (c-a)] / (x-a)
Given that the first solid line (≤ or ≥) has a positive slope and goes through (0, 3) and (3, 4).
y-3 = [(4-3) / (3-0)] / (x-0)
y-3 = x / 3
y - (1/3)x = 3
Also, everything above the line is shaded, i.e. the inequality represents the first graph: y ≥ (1/3)x + 3
The second dashed line (< or >) has a positive slope and goes through (0, - 2) and (1, 1).
y+2 = [(1+2) / (1-0)](x-0)
y+2 = 3x
3x-y = 2
Everything to the right of the line is shaded.
i.e. inequality represents the second graph: 3x-y > 2
Hence, the system of linear inequalities is represented by the graph :
y ≥ (1/3)x + 3
3x-y > 2
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Answer:
D
Step-by-step explanation:
Got it right on edge 2022
How to graph the linear inequality
Step-by-step explanation:
here I have done you can check it out
Find the coordinates of the intersection of the diagonals of parallelogram HJKL with the given vertices: H(-1, 4), J(3, 3), K(3, -2), L(-1, -1). (Drawing a picture helps!)
thank you!
Answer:
(1, 1)
Step-by-step explanation:
Given vertices of the parallelogram:
H = (-1, 4)J = (3, 3)K = (3, -2)L = (-1, -1)Therefore the parallel sides are:
[tex]\sf \overline{HJ} \parallel \overline{LK}\:\: \textsf{ and }\:\: \overline{LK} \parallel \overline{HL}[/tex]
Therefore, the diagonals of the parallelogram are:
[tex]\sf \overline{LJ} \:\: \textsf{ and }\:\:\overline{HK}[/tex]
To find the coordinates of the intersection of the diagonals, either:
draw a diagram (see attached) and determine the point of intersection of the diagonals from the diagram, ordetermine the midpoint of either diagonal (as the diagonals of a parallelogram bisect each other, i.e. divide into 2 equal parts).Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
To find the midpoint of diagonal LJ, define the endpoints:
[tex](x_1,y_1)=L=(-1, -1)[/tex][tex](x_2,y_2)=J=(3,3)[/tex]Substitute the defined endpoints into the formula and solve:
[tex]\begin{aligned} \implies \textsf{Midpoint of LJ} & =\left(\dfrac{3-1}{2},\dfrac{3-1}{2}\right)\\ & =\left(\dfrac{2}{2},\dfrac{2}{2}\right)\\ & =\left(1,1\right) \end{aligned}[/tex]
Therefore, the coordinates off the intersection of the diagonals of parallelogram HJKL are (1, 1).
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Check the order
HJKLMeans H,J and K,L are adjacent coordinates
Hence HK and JL are diagonals
We know diagonals of a parallelogram bisect each other so midpoint of any diagonal would be the intersection point
Midpoint of HK
(x1+x2/2,y1+y2/2)(-1+3/2,4-2/2)(2/2,2/2)(1,1)Is 40% of 90 closer to 10 or 30?
Answer:
Closer to 30.
Step-by-step explanation:
To answer this first find 40% of 90.
90*0.4=36
0.4 is the same as 40%
Hope this helps!
If not, I am sorry.
If ADAB
ACBA,
ZDAB = 35° and ZCBA = 8x + 3
A
D
x = [?]
X
C
B
Answer:
x=4
Step-by-step explanation:
We are given that the triangles are congruent.
Specifically, the order of the letters gives that the angles ∠DAB and ∠CBA are corresponding parts of the two congruent triangles. Since corresponding parts of congruent triangles are themselves congruent, ∠DAB ≅ ∠CBA. Thus, m∠DAB = m∠CBA.
Given the expressions for the two angles, we can substitute into the equation, and solve for the requested variable.
[tex]m\angle DAB=m\angle CBA\\(35)=(8x+3)\\(35)-3=(8x+3\!\!\!\!\!\!\!\!\!\!{--})-3 \!\!\!\!\!\!\!\!\!\! {--}\\32=8x\\\dfrac {32}{8}=\dfrac {8x\!\!\!\!\!\!\! {-}}{8\!\!\!\! {-}}\\4=x[/tex]
Two circles are concentric if they have the same center.
On a coordinate plane, a circle has center (4, 6) and has a radius of 2 units.
Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large?
(x – 4)2 + (y – 6)2 = 4
(x – 4)2 + (y – 6)2 = 16
(x – 6)2 + (y – 4)2 = 16
(x – 6)2 + (y – 4)2 = 4
The equation of the circle is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16
Equation of a circleFrom the question, we are to determine the equation of the circle
The equation of circle is given by
(x - h)² + (y - k)² = r²
Where (h, k) is the center
and r is the radius
From the given information,
The two circles are concentric
∴ (h , k) = (4, 6)
But the other circle has a radius that is twice as large
∴ r = 2 × 2
r = 4
Thus,
The equation of the circle becomes
(x - 4)² + (y - 6)² = 4²
(x - 4)² + (y - 6)² = 16
Hence, the equation which represents a circle that is concentric with the circle shown but has a radius that is twice as large is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16
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The volume of the cube is given as V= x³, where x is the side length of the cube. Find the domain of the volume of
the cube.
Answer: None of the choices
Step-by-step explanation:
1. It couldn't be integers (whole numbers positive or negative), because a cube couldn't have a negative volume.
2. It could be natural numbers, but the problem is, that a volume could have decimal values, for example, 3.62 meters cubed which a natural number doesn't support.
3. Set of whole numbers is the same as integers, so it can't be that.
4. None of the choices, which in my opinion is the correct one.
I'm not sure it is correct, but I hope I helped you!
What is the inverse of the function f(x) = 2x +1?
Answer:
y=0.5(x−1)
Step-by-step explanation:
Explanation: To find the inverse of a function, you have to substitute y for x in the equation and simplify to get a normal equation again. In this case, f(x) is y.
y=2x+1
x=2y+1
2y+1=x
2y=x−1
y=0.5(x−1)
Answer
[tex]y=\frac{x-1}{2}[/tex]
Step-by-step explanation:
To find the inverse of a function [tex]f(x)=2x+1[/tex] , we substitute x and y for each other and then solve for y to get a new function.
We rewrite the original function as:
[tex]x=2y+1[/tex]
And then we solve for y:
[tex]x-1=2y[/tex]
[tex]y=\frac{x-1}{2}[/tex]
This is our answer.
Is 50.2 a rational or an irrational number, why?
Answer:
Rational.
Step-by-step explanation:
[tex]\textbf{A rational number is a real number that can be expressed as}~ \dfrac{p}{q},\\\\\textbf{where}~ p~ \textbf{and}~ q~ \textbf{are integers.}\\\\ \boxed{50.2 = \dfrac{502}{10}}\\\\ \textbf{50.2 can be expressed as a ratio of two integers,}~ \textbf{so it is a rational number.}[/tex]
Which pair of functions are inverses of each other?
The pair of functions are inverse of each other is, [tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex].Option C is correct.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
On checking the function one by one we get that option c satisfies the conditions;
[tex]\rm f(x)=5x-9[/tex]
Change the coefficient;
y=f(x) as x=f(y)
The function is written as;
y=5x-9
x=5y-9
Simply the function;
[tex]\rm y = \frac{x+9}{5} \\\\ y=g(x) \\\\\ g(x) = \frac{x+9}{5}[/tex]
The pair of functions are inverses of each other is,[tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex]
Hence option C is correct.
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please help!!!
picture below
Answer:
4^3x=4^(4x+4)
Step-by-step explanation:
You can eliminate the first 2 options since those don’t make sense already, and the last option changed 64 to 2^6 which is correct, but when they changed the other side. They should have multiplied 8 to both x and 1 which would have made the whole term 2^(8x+8) and not 2^(8x+1). Left with the third option, 4 to the power of 3 is 64 so the left side makes sense, 4^3x=64^x, on the right side, 4^4 equals 256, so the whole exponent should multiply by 4 so from 256^(x+1) you get 4^4(x+1) giving 4^(4x+4) making the third choice the right answer.
Simplify the expression.
Answer:
D
Step-by-step explanation:
What is y + 1 = -2x - 3 in standard form
[tex]y+1=-2x-3\\y=-2x-4\\y+2x=4[/tex]
Which statement regarding the diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
The statement m∠WXY + m∠YXZ = 180° is true.
ExplanationFrom the diagram, m∠WXY > m∠YXZ ⇒ m∠WXY ≠ m∠YXZ. So, option (a) is not true.
From the diagram, m∠WXY > 90° and m∠YZX < 90° ⇒ m∠WXY ≠ m∠YXZ. So, option (b) is not true.
The line WXZ is a straight line so ∠WXY and ∠YXZ are Linear pair. The sum of collinear angles is 180°. So, option (c) is correct.
From the diagram, m∠YXZ ≠ m∠XYZ but since m∠WXY + m∠YXZ = 180° ⇒ m∠WXY + m∠XYZ ≠ 180°. So, option (d) is not correct.
Option (c) is, thus, the correct option.
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Disclaimer: The question was incomplete. Please find the dull content below.
QuestionWhich statement regarding the attached diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
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Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.
What is law of cosine?Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.
Then we have
7² + c² – (2 · 7 · c) cos 105° = 10²
c² + 3.62c – 51 = 0
On solving, we have
c = 5.56
Then the angle C will be
10² + 7² – 2 · 7 · 10 · cos C = 5.56²
149 – 140 cos C = 30.91
cos C = 0.8435
C = 32.49°
We know that
∠A + ∠B + ∠C = 180°
105° + ∠B + 32.49° = 180°
∠B = 42.51°
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Write as an algebraic expression and then simplify if possible :
the sum of x and x+3
Answer:
2x + 3.
Step-by-step explanation:
x + x + 3
= 2x + 3.
Answer:
2x+3
Step-by-step explanation:
x+x+3=2x+3
sum means to add both expression together and we can see there are 2 x's so we can add them and get 2x+3
Two piecewise functions are shown below. What is the value of
6f (-2) + 3g (1)?
f(x) =
0-7
O-25
1/3
O 18
{
-3x
*+2'
if x < -2
³, if x ≥-2
(2|x-1| +3,
-5√x+3-1,
g(x) =
={
if x ≤ 1
if x > 2
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
Question 17 of 25
You need to solve a system of equations. You decide to use the elimination
method. Which of these is not allowed?
3x-2y=7
3x+4y=17
Equation 1
Equation 2
OA. Subtract equation 2 from equation 1.
OB. Subtract the left side of equation 2 from the left side of equation
1.
OC. Multiply equation 1 by 2. Then add the new equation to equation 2.
Answer:
The only methods allowed are
- "Subtract equation 2 from equation 1," and "Multiply equation 1 by 2. Then add the new equation to equation 2"
-
Step-by-step explanation:
Subtract Eq 2 from Eq 1:
3x-2y=7
-3x-4y=-17
-6y = -10
y = (5/3)
Use y =(5/3) to solve for x in both equations.
x=(31/9)
Subtract the left side of equation 2 from the left side of equation No, this is not a legal operation.
Multiply equation 1 by 2. Then add the new equation to equation 2 Yes, this works. Instead of solving for y first, this method solves for x, which can then be used to find y:
2(3x-2y=7)
6x-4y=14
3x+4y=17
9x = 31 (y is eliminated)
x = (31/9)
Now use this to find y in either equation:
3x-2y=7
3x-2(31/9)=7
y = (5/3)
What is the range of the function?
-2
3
3
9
00
4
12
2
A. (3, 9, 12)
B. (-2, 2, 3, 4)
C. {3}
OD. (-2, 2, 3, 4, 9, 12)
Answer:
yeheheehejehejejejjejjejejejejje
Find the value of x in 3x + 4y = 12 and 9x - 4y = 24.
Answer:
x=3
Step-by-step explanation:
we first write both equations:
[tex]3x + 4y = 12 \\ 9x - 4y = 24[/tex]
then we add the Left hand sides from both, and compare to the Right hand sides from both:
[tex]3x + 4y + 9x - 4y = 12 + 24 \\ 3x + 9x = 36 \\ 12x = 36 \\ x = 3[/tex]
A car manufacturer has parked some new cars in 2 car parks.In the first car park there are 60 cars in the ratio 1 red car for every 2 blue cars and 3 silver cars.In the second car park there are 80 cars in the ratio 2 blue cars for every 3 red cars and 5 silver cars.
11. How many red cars are there altogether?
12.How many blue cars are there altogether?
13.How many silver cars are there together?
(PLS BE FAST!!)
The number of red car altogether is 34
The number of blue cars altogether is 36
The number of silver car altogether 70
How to use the ratio to find the number of cars?The car manufacturer has parked some cars in 2 car parks .
The first car park has 60 cars.
In the ratio 1 :2:3
Therefore,
red car = 1 / 6 × 60 = 10 cars
blue car = 2 / 6 × 60 = 20 cars
Silver car = 60 - 30 = 30 cars
The second car park has 80 cars.
The ratio are
In the ratio 3:2 5
Therefore,
red cars = 3 / 10 ×80 = 24
blue cars = 2 / 10 × 80 = 16
silver cars = 5 / 10 × 80 = 40
Therefore,
The number of red car altogether is 24 + 10 = 34 red car
The number of blue cars altogether is 20 + 16 = 36 blue cars
The number of silver car altogether is 30 + 40 = 70 silver cars
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(a) The average velocity of 25 taxies is 40 km/hr and the average velocity of 35 trucks is 30 km/hr. Find the combined average velocity of both types of vehicles. ( a ) The average velocity of 25 taxies is 40 km / hr and the average velocity of 35 trucks is 30 km / hr . Find the combined average velocity of both types of vehicles.
Answer:
10hr/m because the average velocity is divided by number
Find the surface area for the rectangular prism below.
Please answer with steps! :)
The price of one kilograms of apple at a fruit mart is $4.00. If there is a special price this week with a
15% discount, how much do I need to pay if I buy 3 Kg of apple?
Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?
The first part is How many halves are in 8
2nd part is 16
Thank me later:)
The first part is half of the second part. The first part is 16 and the second part is 8.
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Let the first part is x, y os the second part, and the no of half times is z then the equation is;
x × y = z
16×(1/2) = 8
Hence,the first part is half of the second part. The first part is 16 and the second part is 8.
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Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms.
5.)(2x + 8) - (4y + 1)
6.)-5x * (3x^2 - 2x - 1)
5) 2x + 8 - 4y - 1 = 2x - 4y + 7
6) -5x(3x² - 2x - 1) = -15x³ + 10x² + 5x
Split 120 into the ratio
2:3
Answer:
48 : 72
Step-by-step explanation:
Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures
and
have the same volume.
The figures Сone Z and Cylinder Y have the same volume.
How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
V = 1/3 × πr²h
Where:
h is the height.r is the radius.Similarly, the volume of a cylinder can be calculated by using this formula:
V = πr²h
In this context, we can infer and logically deduce that Сone Z and Cylinder Y have the same volume because they both have the same base area, while the cone's height is three (3) times the height of Cylinder Y.
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