Answer:
they are the same line
Step-by-step explanation:
if you divide the first line by 2 you'll get:
2(3x)+2y=2(23)===> 3x+y=23
Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people.? (Helping middle schoolers)
it is 57 understand the way is down there
Step-by-step explanation:
j
k
h
a
h
a
Given a standard deviation of sigma equals 15 and a sample size of n equals 16, calculate the standard deviation of the sampling distribution.
3.750
1.067
0.938
4.131
The standard deviation of the sampling distribution is; Option A: 3.750
How to calculate the sample standard deviation?Standard deviation is defined as a measure of how spread out numbers usually are. It is further said to be the square root of the Variance, and then the variance is the average of the squared differences from the Mean.
Now, we are given;
Population standard deviation; σ = 15
Sample size; n = 16
Formula for sample standard deviation in this regards is;
s = σ/√n
Plugging in the relevant values gives;
s = 15/√16
s = 15/4
s = 3.750
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Rewrite this number in standard (decimal) notation without the use of exponents or scientific notation:
8.587 x 10^4
answer=
The answer is: 85870
Find the distance between each pair of points.
5)
2
AR
6) (6,-3), (2,-2)
Therefore . the solution of the given problem of distance comes out to be it follows that there are √17 units separating the two points.
Define distance.Distance is a measure of an object's travels. Distance, put simply, is what an item travels over in a particular amount of time, or t. The shortest path an object can take while moving is displacement, nevertheless. We commonly incorporate the physical quantities of distance and displacement.
Here,
provided are (6, -3) & (2, -2)
Now, the separation between points (a, b) & (c, d) is
d= √(c-a)² + ( d- b) ²
Therefore, d= √(-3+2)² + (2-6)²
d= √ 1 + 16
d= √17
It follows that there are √17 units separating the two points.
Therefore . the solution of the given problem of distance comes out to be it follows that there are √17 units separating the two points.
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Write the coordinates of the vertices after a reflection over the x-axis.
Answer:
J: -5,10
K: -5,5
L: -2,1
M: -2,6
Hope I helped<3
please help!
The longest side of a triangular sail measures 13 ft and the base of
the sale is 5ft. What is the height of the sail?
Answer:
12 ft
Step-by-step explanation:
Assuming the triangle is a right triangle, we can use the Pythagorean theorem, a^2+b^2=c^2
Plugging our numbers in, we get 5^2+b^2=13^2
25+b^2=169
b^2=144
b=12
I also believe that this is a 5 12 13 triangle so if you remember those, you can automatically know the lengths!
Graph the rational number on a number line. 98/28
The required number line attached below shows the absolute value of the rational number 9/28 is from 0.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The rational number is given in the question, as follows:
98/28
We have to determine the graph of the rational number on a number line.
As per the question, we can write the simplest form of the fraction as:
⇒ 98/28 = 7/2
Thus, the number line attached below displays the distance of the fraction from 0.
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Deon made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces was 13.40. If the beads cost
3.60 for each necklace, how much did each pendant cost?
Answer:
$7.40
Step-by-step explanation:
Which of the following gives the area, A
, of a circle with a diameter of 6?
A
A=π(3)
B
A=π×2(3)
C
A=π(3)2
D
A=π×2(3)2
The area of a circle with a diameter of 6 is A=π(3)². Option C
How to determine the area of the circleIt is important to note that the area of a circle is expressed with the formula;
A = πr² or πd²/4
Where;
A is the area of a circleπ takes the value 3. 14 or 22/7r is the radius of the circled is the diameter of the circleFrom the information given, we have that the diameter is 6
Radius = diameter/2 = 6/ 2 = 3
Substitute the value into the formula for area
Area, A = π(3)²
Hence, the area of the circle is π(3)²
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Pls help please easy
Answer: 204
Step-by-step explanation:
2 goes into 12 six times. 34x6=204
hence, your answer.
I need help the last one
Graph G has 7 vertices. Graph C is isomorphic to graph G.
What are the vertices of a graph?
The term "vertex" refers to a node of a graph, which is one of the points on which the graph is constructed and which can be connected by graph edges.
The vertices of graph G are A, B, C, D, E, F, G
The number of vertices of graph G is 7.
The number of edges that are connected to a vertex that the degree of the vertex.
Vertex degree
A 4
B 2
C 3
D 2
E 3
F 3
G 3
The vertices of graph A are T, U, V, W, X,Y,Z
The number of vertices in graph A is 7.
Vertex degree
T 3
U 3
V 1
W 3
X 3
Y 3
Z 2
The degree of the vertices of graph A is not the same as the degree of graph G.
The vertices of graph B are T, U, V, W, X,Y,Z
The number of vertices in graph B is 7.
Vertex degree
T 2
U 4
V 2
W 3
X 3
Y 3
Z 3
The degree of the vertices of graph B is not the same as the degree of graph G.
The vertices of graph C are T, U, V, W, X,Y,Z
The number of vertices in graph C is 7.
Vertex degree
T 4
U 2
V 3
W 3
X 3
Y 3
Z 2
The degree of the vertices of graph C is the same as the degree of graph G.
Thus graph C is an isomorphism of graph G.
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If the expression 4[tex]\frac{4\sqrt{81x^4y^2}}{x^-1/2y^-1}[/tex] is written in form ax^by^c, then what is the product of a b c?
The product of a, b and c is equal to 18.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is are the expression as -
[tex]$\frac{\sqrt[4]{81x^{4} y^{2} } }{x^{-1} 2y^{-1} }[/tex]
The given expression is -
[tex]$\frac{\sqrt[4]{81x^{4} y^{2} } }{x^{-1} 2y^{-1} }[/tex]
We can rewrite it as -
[tex]$\frac{(81x^{4} y^{2}) ^{\frac{1}{4} } }{x^{-1} (2y)^{-1} } = \frac{(3^{4} x^{4} y^{2})^{\frac{1}{4} } }{x^{-1} (2y)^{-1} } = 6xy^{\frac{1}{2} } xy[/tex]
Now, we can write -
[tex]6xy^{\frac{1}{2} } xy = 6x^{2} y^{(\frac{1}{2} + 1) } = 6x^{2} y^{(\frac{3}{2}) }[/tex]
On comparing, we get -
a = 6
b = 2
c = 3/2
So -
a x b x c = 6 x 2 x 3/2 = 18
a x b x c = 18
Therefore, the product of a, b and c is equal to 18.
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find the perimeter of a quadrilateral with vertices at C(2,4), D(1,1), E(5,0), and F(3,4). Round your answer to the nearest hundredth when necessary
Therefore, the perimeter of a quadrilateral at the given vertices is 12.76 units.
What is quadrilateral?A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.
Define edges and corners.A face is a flat surface, an edge is a straight line connecting two faces, and a vertex is the corner of the form. Faces, edges, and vertices of three-dimensional forms are all unique. In the course of our daily activities, we come into contact with numerous things of all sizes and forms.
The length of each side:
CD: C(2,4) and D(1,1) = sqrt((1-2)^2 + (1-4)^2) = sqrt(1 + 9) = sqrt(10)
DE: D(1,1) and E(5,0) = sqrt((5-1)^2 + (0-1)^2) = sqrt(16+1) = sqrt(17)
EF: E(5,0) and F(3,4) = sqrt((3-5)^2 + (4-0)^2) = sqrt(4+16) = sqrt(20)
FC: F(3,4) and C(2,4) = sqrt((2-3)^2 + (4-4)^2) = sqrt(1) = 1
Perimeter of the quadrilateral = sum of the lengths of all four sides:
Perimeter = sqrt(10) + sqrt(17) + sqrt(20) + 1
Calculating, perimeter = 3.162+4.123+4.472+1 = 12.7557 and rounding to the nearest hundredth, it is 12.76
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This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer in the box.
A
Replanted trees
500
450
400
350
300
250
200
150
100
50
(5,225)
(3, 135)
1 2 3 4 5 6 7 8 9 10
Area (acres)
What is Constant of Proportionality?
The ratio between two proportional quantities' constant values is known as the constant of proportionality.
The formula for calculating slope is expressed as:
m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Given: the coordinate points (5,225) and (3, 135). The constant of proportionality is expressed as:
m = [tex]\frac{135-225}{3-5}[/tex]
m = [tex]\frac{-90}{-2}[/tex]
m = 45
Hence, Constant of Proportionality is 45.
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The radius of a cylindrical construction pipe is 2 ft, and its length is 19 ft. Answer the parts below. Make sure you're using the correct units in your answer.
a. Find the exact volume of the pipe. Write your answer in terms of pi.
The volume of the cylindrical pipe in terms of π is 76π ft³.
The volume of the cylindrical pipe using ALEKS calculator is 238.76 ft³.
How to find the volume of a cylinder?The radius of a cylindrical construction pipe is 2 ft, and its length is 19 ft. The exact volume of the cylindrical pipe can be found as follows:
The answer is in terms of π.
Therefore,
volume of a cylinder = πr²h
where
r = radiush = heightTherefore,
volume of the cylindrical pipe = πr²h
where
r = 2 fth = 19 ftvolume of the cylindrical pipe = π × 2² × 19
volume of the cylindrical pipe = π × 4 × 19
volume of the cylindrical pipe = 76π ft³
Hence, let's approximate the volume of the cylindrical pipe using π in an ALEKS calculator.
Therefore,
volume of the cylindrical pipe = 76 × π = 238.761041673 = 238.76 ft³
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In the diagram below, PQ is parallel to MN. If PQ is 2 more than MP,
PO = 12, and MN = 12, find the length of MP. Figures are not necessarily
drawn to scale. State your answer in simplest radical form, if necessary.
Therefore , the solution of the given problem of parallel line comes out to be MP =22.
Parallel lines are what?Geometry refers to parallel lines as beams, straight lines that never overlap. Parallel planes are those that never cross each other while occupying the same three-dimensional space. Curves which are equal with each other and keep a predetermined minimum separation from one another must not overlap or intersect. Parallel lines on a plane are those that always have the same distance between them. A parallel line cannot be crossed. Perpendicular lines are those that intersect directly at a 90 degree angle.
Here,
Given : PQ || MN
=> PQ =MP+2
=> PO = 12 , MN = 12
So,
=> PO + MN = 12 + 12
=> PQ = 24
=> PQ = MP +2
=>24 = MP +2
=> MP =22
Therefore , the solution of the given problem of parallel line comes out to be MP =22.
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if the expression 3x + 10 is equivalent to -2x what must the value of x be
Answer:
Step-by-step explanation:
It would be -5 3-5=-2
What type of graph or graphs would you plan to make in a study of each of the following issues?
(a) What makes of cars do students drive? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(B) How old are their cars? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(c) How many hours per week do students study? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plo
tnone of the above
(d) How does the number of study hours change during a semester? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(e) Which radio stations are most popular with students? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
(f) When many students measure the concentration of the same solution for a chemistry course laboratory assignment, do their measurements follow a normal distribution? (Select all that apply.)
bar graph
pie chart
histogram
stemplot
boxplot
timeplot
normal quantile plot
none of the above
The concept given is Graphs. A graph is a chart showing the relationship between magnitudes of variables, usually two variables, each measured along a pair of orthogonal axes.
Charts and tables are powerful visual tools because they present information quickly and easily. that graphics are commonly used in print and electronic media.
Sometimes data is easier to understand in a chart than in a table because a chart can show a trend or comparison.
A) bar graph and pie chart.
B) histogram, stem plot, and box plot.
C) histogram, stem plot, and box plot.
D) time plot.
E) bar graph and pie chart.
F) normal quantile plot.
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For a science project,3/4 of the students chose to make a poster and 0.25 of the students wrote a report. Rosa said that more students made a poster than wrote a report.Do you agree with Rosa? Use numbers and words to support your answer.
Yes , i agree with Rosa in linear equation.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.
3/4 is equal to 0.75 and 0.75 > 0.25
Or 0.25 is equal to 1/4,
and 1/4 < 3/4
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Given that 1 inch = 2.54 cm, how many centimeters are there in 7 feet? Answers may be written using decimal form and should be rounded to the nearest hundredth when necessary. (12 inches = 1 foot)
Answer: 30.48
Step-by-step explanation:
2.54x12=30.48
y = 4/5x + 1 A. slope: 4/5; y - intercept: -1 B. slope: 4/5; y - intercept: 1 C. slope: 5/4; y - intercept: 1 D. slope: 5/4; y - intercept: -1
Answer:
B
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{4}{5}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{4}{5}[/tex] and y- intercept c = 1
Ronald carved 3/3/8 of a totem pole. he says that the totem pole is 3/4 completed.
Part A if h represents the height in feet of the finished totem pole ,then 3/4h=3/3/8 represents this situation. Which equations show the use of the reciprocal to write an equivalent equation that can be used to solve for h?
The height of the totem tree after solving the equation is 1/6 units
What is an equation?An equation is an expression that shows how numbers and variables relate with each other.
Mathematical operations include addition, subtraction, division and multiplication. Mathematical operations are used in equations
Let h represent the height of the totem pole.
Ronald carved 3/3/8 of a totem pole. he says that the totem pole is 3/4 completed. Hence:
(3/4)h = 3÷3÷8
(3/4)h = 3 * (1/3) * (1/8)
(3/4)h = 1/8
Cross multiplying gives:
h = (4 * 1)/(3 * 8)
h = 1/6
The height of the tree is 1/6 units
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Guys i need help with this it's really hard!
Answer: c is correct
Answer:
c
Step-by-step explanation:
Please help!!! I am so confused and this is due tomorrow!!
The simplified expressions for (A), (B) and (C) are:
(A) [tex]f(x+h) = 4x + 4h - 6[/tex]
(B) [tex]f(x+h) * f(x) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]
(C) [tex]f(x+h) - f(x) / h = 4[/tex]
How to simplify the equation?To simplify we use the given method.
A)
[tex]f(x+h) = 4(x+h) - 6 = 4x + 4h - 6[/tex]
B) [tex]f(x+h) * f(x) = (4x + 4h - 6) * (4x - 6) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]
C)
[tex]f(x+h) - f(x) / h = (4x + 4h - 6) - (4x - 6) / h = 4h / h = 4[/tex]
So the simplified expressions for (A), (B) and (C) are:
(A) [tex]f(x+h) = 4x + 4h - 6[/tex]
(B) [tex]f(x+h) * f(x) = 16x^2 + 4xh - 24x + 4h^2 - 24h + 36[/tex]
(C) [tex]f(x+h) - f(x) / h = 4[/tex]
Please note that in (C) the difference of the functions is divided by h, not multiplied.
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Would this be SSS, ASA, SAS, or AAS?
situation #4
It is known that ∆BIG~∆FUN.
4a. Angle N is congruent to which
angle? [Letter Only]
4b. Using situation #4, what should
go in the place of the smiley face in
this proportion?
NF ☆ ☾
---- = ---- = ----
☻ IB ♡
4c. Using situation #4, what should
go in the place of the moon in this
proportion?
NF ☆ ☾
---- = ---- = ----
☻ IB ♡
On solving the provided question, we can say that triangle BIG and triangle FUN are similar to each other and are congruent, so angle N is congruent to angle G.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
we have been provided with that
triangle BIG and triangle FUN are similar to each other and are congruent.
Angle N is congruent to angle G.
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Toby draws an array that has 8 columns with 3 counters in each row. Bai draws an array that has 3 columns with 8 counters. How many counters are there in all
Answer:48 counters
Step-by-step explanation:8x3=2, 3x8=24, 24+24+48
The number of students, in a class of 35 , who improve their score from the first midterm to the second midterm
Note that the number of students, in a dass of 35, who improve their score from the first midterm to the second midterm is a discrete variable.
What is a discrete variable?A discrete variable is one that can only have particular, unique values and cannot have any other values in between. The number of students who increase their score is a whole number that can only take on specific values (e.g., 0, 1, 2, etc.), indicating that it is a discrete variable.
A quantitative variable in mathematics and statistics can be continuous or discrete depending on whether it is normally obtained by measuring or counting. The variable is continuous in that interval if it can take on two specific real values while simultaneously taking on all real values between them.
Thus, it is correct to state that the number of students, in a dass of 35, who improve their score from the first midterm to the second midterm is a discrete variable.
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Full Question:
Is the following variable best thought of as discrete or continuous?
The number of students, in a class of 35 , who improve their score from the first midterm to the second midterm
factoriser
A=(2x-3)(2x-3)-(x-2)(x-2)
HELP QUICK PLS
For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 105 and a standard deviation of 10. What is the probability that a randomly
selected male's systolic blood pressure will be less than 129, to the nearest
thousandth?
Therefore, the solution of given problem of probability is there is a 0.397 percent chance that a randomly chosen male will have a systolic blood pressure below 100.
How does probability work?A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A possibility is a number from 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or chance that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages ranging from 0% to 100% and from 0 to 1.
Here,
Considering the query
In a particular municipality, men's systolic blood pressure has a median of 105 as well as a standard deviation = 9, which is considered to be regularly distributed.
Probability that the systolic blood pressure of a man chosen at random will be less than 100
P(x < 100)
Through the use of normalized normal distribution
=> N(100 -105)/9 \s=> N (-5/9)
We have a>0 and N(-a) = 1 - N(a).
=> 1 - N (-5/9)
=> 1 - N(0.556) (0.556)
=>1 - 0.6026
=> 0.3979
≈ 0.397 (nearest hundredths) (nearest thousandth)
Therefore, there is a 0.397 percent chance that a randomly chosen male will have a systolic blood pressure below 100.
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