The geometry term represented by the statement "If two points are given, then exactly one line can be drawn through those two points." is "geometric postulate".
What are termed as the geometric postulate?Postulates are assertions that are believed to be correct in the absence of evidence.
Postulates serve two functions: they explain undefined terms and they serve as a foundation for proving those certain statements. The Postulates of Euclid: A line segment is defined by two points.A line segment can be enlarged along a line indefinitely.A postulate is a fundamental concept in geography that denotes a hypothesis that is believed to be correct in the given factor.In this sense, the main feature of the postulate is its widespread acceptance by the scientific community, that is, by the vast majority of scientists who are committed to its investigation.
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(2.3 x 105)(1.5 x 104) in scientific notation plssss ASAP
By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.
Given that,
(2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴)
By using scientific notation
The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.
Now, we calculate
(2.3[tex]\times[/tex]10⁵)=2.5[tex]\times[/tex]100000=230000
(1.5 [tex]\times[/tex]10⁴)=1.5[tex]\times[/tex]10000=15000
Now,
=230000[tex]\times[/tex]15000
=3450000000
=345 [tex]\times[/tex]10⁷
Therefore, By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.
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1. Seekor ikan berenang pada kedalaman 25 meter dibawah permukaan air. Kemudian ikan itu berenang naik sejauh 8 meter. Seekor burung bertengger di atas pohon dengan ketinggian 3 meter di atas tanah. Jarak antara burung dengan ikan adalah?
A. 8 meter
B. 14 meter
C. 16 meter
D. 20 meter
2. Seekor cicak berada pada tembok dengan ketinggian 30 meter, lalu tergelincir sejauh 2 setiap menitnya. Berapa meter Cicak setelah 6 menit?
A. 20
B. 19
C. 18
D. 17
Answer:
1.D
2.C
Step-by-step explanation:
1. 25 meter - 8 meter = 17 meter
17 meter + 3 meter = 20 meter
2. 2 × 6 = 12
30 - 12 = 18
PLS HELP DUE TODAY 100 PTS
Henry and Emma want to buy a total of 1.5 yards of fabric. the fabric costs $7.32 per yard. how much will each pay if they want to split the cost evenly? $5.49 $2.75 $10.98 $21.96
answer:
a. $5.49
explanation:
1.5 yd x $7.32 = $10.98
$10.98/ 2 people = $5.49
Answer: A. $5.49
Step-by-step explanation:answer:
explanation:
1.5 yd x $7.32 = $10.98
$10.98/ 2 people = $5.49
Find the distance between the pair of points. Round to the nearest tenth, if necessary. (-4,-5) (0,5)
The distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 10 units.
We are given the two points:
( − 4 , - 5 ) and ( 0 , 5 )
We need to find the distance between the two points.
The formula for distance is given as:
Distance = √ (x₂ - x₁)² + (y₂ - y₁)²
Substituting the values, we get that:
Distance = √ ( 0 + 4 )² + ( 5 + 5)²
Distance = √ ( 4 )² + ( 10 )²
Distance = √ 16 + 100
Distance = √ 116
Distance = 2 √29 units.
Therefore, we get that, the distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 2 √29 units.
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What type of evidence is needed for a hypothesis to be supported or not supported.
Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.
Hypothesis:
Hypothesis is a statement which can be proved or disproved. It is a statement capable of being tested. Based on the results of the test case, we have identified the type of it.
Given,
Here we needed to find the type of evidence is needed for a hypothesis to be supported or not supported.
Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.
Observational evidence is ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it.
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determine whether the data described are discrete or continuous. relative humidity levels in operating rooms at local hospitals.
The data for relative humidity levels in operating rooms at local hospitals must be continuous.
For given question,
Continuous data is a type of numerical data that refers to the unspecified number of possible measurements between two points.
These numbers are not always clean and tidy like those in discrete data, as they're usually collected from precise measurements.
Variables in these data sets often carry decimal points.
When values in a data set are countable and can only take certain values, it is called discrete data.
In this question,
we need to find the type of data for relative humidity levels in operating rooms at local hospitals.
The data records of relative humidity levels carry decimal points.
Therefore, the data for relative humidity levels in operating rooms at local hospitals must be continuous.
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how do I turn this into an equation to solve for x
To solve the for x the equation will be 3x° = 80° - x° and the value of x is 20°.
When two or more lines meet at a common point it is known as intersecting lines.
According to the question we have been given that there are two lines who are intersection at a point. And we have been given measure of two angles.
Let the first angle be given as ∠A and the second angle be given as ∠B.
The measure of angles given to us are :
∠A = 3x° and ∠B = (80 - x)°
We know that when two lines intersect then the vertically opposite angles are equal, that is
∠A = ∠B
Putting the required values we get
3x° = 80° - x°
4x° = 80°
x = 20°
Hence the value of x = 20°. Thus the measure of ∠A = 60° and ∠B = 60°
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Evaluate the expression 11-8 on top and on bottom is 1+7•2
Answer:
1/5
Step-by-step explanation:
because 3/15
Hey there!
(11 - 8)/(1 + 7 * 2)
= (3)/(1 + 14)
= 3/15
≈ 3 ÷ 3 / 15 ÷ 3
≈ 1/5
≈ 0.2
Therefore, your answer should be:
1/5 or 3/15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. zero: 1, multiplicity: 2 zero: 2, multiplicity: 2 degree: 4
Polynomial expression for the given conditions is formulated in the equation
y(x)=1*(x-2)^3(x-0)^2
The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as
According to the given condition
The given conditions to write the polynomial equations are as follows
Zero 2 and Multiplicity 3
Zero 0 and Multiplicity 2
Degree of polynomial expression = 5
The leading coefficient of polynomial expression = 1
Let us consider the polynomial equation has only one variable and hence in the general form we can write the equation of polynomial as follows
From the general form of polynomial expression as shown in equation (1) we can write
Polynomial expression for the given conditions is formulated in the equation
y(x)=1*(x-2)^3(x)^2-------(2)
So the polynomial for the conditions given in the question is expressed as
y(x)=1*(x-2)^3(x)^2
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I need help with decimals asap 100 points
need help fast
Answer:
f. 8.0
g. 34.4
h. 83.8
i. 121
j. 35.2
Step-by-step explanation:
f. 4.1 + 3.9 = 8.0
g. 23.1 + 7.6 + 3.7 = 34.4
h. 53.2 + 3.1 + 27.5 = 83.8
i. 11.1 + 17.3 + 92.6 = 121
j. 24.1 + 7.9 + 3.1 = 35.2
Name a point that is collinear with the given points.
Answer: Three or more points that lie on the same line are called collinear point.
Example : the points A, B and C lie on the line m. They are collinear
Step-by-step explanation: i really hope this helps somehow (: btw lmk if i am wrong
Which letter is at position (1, 3)?
OA. S
OB. M
OC. U
OD. N
Answer:
u has position brobjdidiodd
Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
R(-6,4), S(-2,-2), T(2,4)
The triangle with vertices located at R(-6 , 4), S(-2 , -2), T(2 , 4) has its centroid located at (-2 , 2).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = R(-6 , 4)
Point 2(x2 , y2) = S(-2 , -2)
Point 3(x3 , y3) = T(2 , 4)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(-6 + -2 + 2)/3 , (4 + -2 + 4)/3]
C(x ,y) = (-6/3 , 6/3)
C(x ,y) = (-2 , 2)
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Solve the equation for the red variable.
please help :(
Answer:
V = [tex]\frac{Bh}{3}[/tex]
Step-by-step explanation:
B = 3 × [tex]\frac{V}{h}[/tex] ( multiply both sides by h to clear the fraction )
Bh = 3V ( divide both sides by 3 )
[tex]\frac{Bh}{3}[/tex] = V
Help asap! 45 pts!
What is the third reason in the angle proof?
∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.
Given that, AD bisects ∠BAC and ∠1≅∠3.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.
Since AD bisects ∠BAC, ∠BAD=∠DAC.
That is ∠1≅∠2 (AD bisects ∠BAC into two equal angles)
Since ∠1≅∠2 and ∠1≅∠3 (given)
We get, ∠2≅∠3
∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.
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The Nile river is 4,160 miles long.the Amazon river is 25/26 as long as the Nile river.how long is the Amazon river
Step-by-step explanation:
Multiple the ratio by Nile river distance
A = 1/4 0b^3c
need this rn algebra 1 will give a lot of points
Answer: c=[tex]\frac{4A}{b^3}[/tex]
Step-by-step explanation:
A = 1/4b^3c
A*4=4*1/4b^3c
4A=4/4b^3c
4A=b^3c
c=4A/b^3
c=[tex]\frac{4A}{b^3}[/tex]
A 20-pound bag of fertilizer costs $19.60. What is the cost per pound?
Answer:
563$ and me for some change
Step-by-step explanation:
Marko can bike at an average speed of 534 minutes per mile. He bikes at this speed for 8614 minutes.
How many miles does Marko bike?
Answer:
Marko bikes approximately 16.13 miles.
A very slow rate.
Step-by-step explanation:
average speed = 534 minutes per mile
time taken = 8614
d = t/s
distance = 8614 / 534
= 16.13 miles
I dont understand how to do this.
Given AB where A (3,4) and B (-1,-2), translate left 2 and up 1, then rotate 90 degrees clockwise about the point C(1,3). Graph and list the coordinates of A"B"
pls help urgently!!!!
The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.
What are the coordinates of the image of a line segment?
In this problem we must find the coordinates of a new line segment, generated after making translations and rotation, two kinds of rigid transformations. First, determine the coordinates of the ends of the line segments by translation formula:
A'(x, y) = (3, 4) + (- 2, 1)
A'(x, y) = (1, 5)
B'(x, y) = (- 1, - 2) + (- 2, 1)
B'(x, y) = (- 3, 1)
Second, determine the coordinates of the ends of the line segment by using the rotation formula:
A''(x, y) = O(x, y) + ((A'x - Ox) · cos θ - (A'y - Oy) · sin θ, (A'x - Ox) · sin θ + (A'y - Oy) · cos θ)
A''(x, y) = (1, 3) + ((1 - 1) · cos (- 90°) - (5 - 3) · sin (- 90°), (1 - 1) · sin (- 90°) + (5 - 3) · cos (- 90))
A''(x, y) = (1, 3) + (2, 0)
A''(x, y) = (3, 3)
B''(x, y) = O(x, y) + ((B'x - Ox) · cos θ - (B'y - Oy) · sin θ, (B'x - Ox) · sin θ + (B'y - Oy) · cos θ)
B''(x, y) = (1, 3) + ((- 3 - 1) · cos (- 90°) - (1 - 3) · sin (- 90°), (- 3 - 1) · sin (- 90°) + (1 - 3) · cos (- 90))
B''(x, y) = (1, 3) + (- 2, 4)
B''(x, y) = (- 1, 7)
The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.
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How many lengths of wire, each are 3 7/8 inches long , can be cut from a 25ft roll?
Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77
Given,
The total length of the roll =25 foot
Length of each wire = [tex]3\frac{7}{8}[/tex] inches
First we have to convert mixed fraction to simple fraction
[tex]3\frac{7}{8}=\frac{31}{8}[/tex] inches
Convert foot to inches
25 foot = 25×12 =300 inches
Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll = Total length of the roll/ Length of each wire
=300÷[tex]\frac{31}{8}[/tex]
=77.41
≈77
Hence, the number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77
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you would like to investigate whether smokers are more likely than nonsmokers to get lung cancer. you take the students in your class, select half at random and tell them to smoke a pack of cigarettes each day, and you tell the other half not to ever smoke. fifty years from now, you will analyze whether more smokers than nonsmokers got lung cancer. is this an experiment or an observational study? experiment observational study summarize at least three practical difficulties with this planned study.
The following given task is an experiment.
What do we mean by an experiment?An experiment is a procedure that is carried out to support or refute a hypothesis, or to determine the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by demonstrating what happens when a specific factor is changed. Experiments vary greatly in goal and scale, but they all rely on repeatable procedures and logical results analysis. Natural experimental studies are also available.So,
The following given task is an experiment.
Telling someone to start smoking a pack of cigarettes every day endangers their health. The other half, who are told not to smoke, may do so at their leisure. In the end, it will be difficult to track who smoked and who did not over the course of 50 years, and whether they did so consistently.Therefore, the following assignment is an experiment.
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5x+3-2x=7x+3 sometimes always never
The true statement is sometimes true
How to determine the true statement?The equation is given as
5x + 3 - 2x = 7x + 3
Evaluate the like terms on each side of the equation
So, we have
3x + 3 = 7x + 3
Evaluate the like terms on both sides
4x = 0
Divide both sides by 4
x = 0
This means that the equation is only true when x = 0
Hence, the true statement is sometimes true
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What is the solution to the equation below? 4+square root of x =10
Tammy earns 51 dollars per week working part time at a book store. She makes one dollar more for each book that she sells. The amount, A(in dollars), that Tammy earns in a week If she sells b books is given by the following function A(b)= 51+bHow much does Tammy earn in a week if she sells books?
Becky feeds her cat 55 g of cat food per day. About how many ounces of cat food will she feed her cat in 4 weeks? {1 oz ≈ 28.3 g}
13.6 oz
54.4 oz
1.9 oz
220 oz
The ounces of cat food she will feed her cat in 4 weeks is 54.4 oz
How to determine the number of feet?The given parameters are
1 oz = 28.3 g
1 day = 55 g
For 4 weeks, the amount would be
1 * 7 * 4 days = 55 g * 4
So, we have
28 days = 1540 g
Rewrite as
4 weeks =1540 g
Recall that 1 oz = 28.3 g
So, we have:
4 weeks = 54.4 oz
Hence, the ounces of cat food will she feed her cat in 4 weeks is 54.4 oz
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Drag and drop the range of each data set into the boxes
The range of data set 1 is 20 and the range of data set 2 is 25.
From the given figure, the observations in data set 1 are 20, 25, 25, 25, 30, 30, 30, 35, 35 and 40.
The observations in data set 2 are 35, 40, 40, 45, 45, 45, 50, 50, 55 and 60.
What is the range?In statistics, the range of a set of data is the difference between the largest and smallest values, the result of subtracting the sample maximum and minimum. It is expressed in the same units as the data.
From data set 1:
Highest observation = 40 and lowest observation = 20.
So, range = 40-20=20
From data set 2:
Highest observation = 60 and lowest observation = 35.
So, range = 60-35=25
Therefore, the range of data set 1 is 20 and the range of data set 2 is 25.
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a student records the repair cost for 1717 randomly selected tvs. a sample mean of $73.10$73.10 and standard deviation of $16.01$16.01 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.
Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).
What do you mean by the term Repair cost?Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.
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Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.
Let s represent the weight of the boxes that Steven lifted.
Which expression represents the total number of pounds Nathan lifted?
A. s + 12
B. 15(s+12)
C. 12(s+13)
D. 13(s+12)
Answer:
we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,
Step-by-step explanation:
13 ( s+12) = 15 s
where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.
we solve,
s = 78 pounds
such that Nathan's is 90 pounds.