The ruler postulate is that A. the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.
What is the ruler postulate?The set of points on a line can be arranged in such a way that the set of real numbers and the set of points correspond exactly, and the distance between any two points is equal to the absolute value of the difference between the corresponding numbers.
Therefore, the ruler postulate is that the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.
In conclusion, the correct option is A.
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Find m∠2
Any help on this would be great!
Finding m∠2 is c. 44°.
Measure of angleFirst step is to find the Measure of angle 1 which is m∠1
Measure of angle 1 = (68° + 68°) or (68°×2)
Measure of angle 1 = 136°
Second step is to find m∠2
Since we have find the measure of angle 1 in order for us to find or determine m∠2 we would have to deduct or subtract m∠1 from 180°
Now let find m∠2
m∠1 = 136°
m∠1 + m∠2 = 180°
136° + m∠2 = 180°
m∠2 = 180° - 136°
m∠2 = 44°
Therefore finding m∠2 is c. 44°.
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a kind of sampling strategy least likely to produce statistics that are good estimates of population perameters is a
A kind of sampling strategy least likely to produce statistics that are good estimates of population parameters is a haphazard sample.
What is haphazard sampling ?A haphazard sampling is method of sampling in which the performer does not intend to use a systematic approach for choosing a sample rather they do the random selection without using anu conscious bias.
Haphazard sampling assumes that all population units are alike but unless they are really similar there is always a chance of selection falling prey to biases. Therefore, haphazard sample is least likely to produce statistics that are good estimates of population parameters.
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Suppose that you invest $5800 in an account that earns interest at an APR of 4.4%, compounded monthly. Determine the accumulated balance after 7 years.
After 7 years, the total amount accumulated is $13,691.43.
What is described as annual percentage rate (APR)?An annual percentage rate (APR) is the annual interest rate charged on a loan or earned on an investment.Even before agreement is signed, financial firms must disclose the APR of a financial instrument.To protect customers from misleading advertising, the APR offers a consistent foundation for introducing annual interest rate information.For the given question;
The formula for compound interest is;
CI = P(1 + r/n)∧nt
The rate rate of interest is according to APR; r = 4.4% = 0.044
P = principal amount ($5800).
t = time in years (7 years)
n = number of times interest given per time period
n = 7×12 = 84 (as compounded monthly)
CI = 5800( 1 + 0.044/84)∧(84×7)
CI = 5800×(1.36)
CI = 7891.43
Thus, the total interest formed after 7 years.
Total amount in bank = principal amount + CI
= 5800 + 7891.43
= 13,691.43
Therefore, the total amount accumulated after 7 years is $13,691.43.
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Zoe and Claire are sisters. They are giving clues about their heights. Write an equation and solve to determine the height of both Zoe and Claire. Claire is twice as tall as Zoe. Together, Claire and Zoe are 108 inches tall.
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The explanation is below. Enjoy!
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First off- I'll divide the total by two. This ensures they both have a basic height.
108 / 2 = 54
Say Claire is double Zoe's height, divide 54 (Zoe's height) by 2 and give the quotient to Claire.
54 / 2 = 27
(Claire's height)
54 + 27 = 81 inches
(Zoe's height)
27 inches
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Have a great day/night!
(Consider leaving a Brainly, it'd help me quite a bit!)
~pinetree
Match each division problem on the left to its quotient on the right.
Answer:Zero-0 divided by 8 3
Step-by-step explanation:
If 3sinθ + 4cosθ = 5, Prove that tanθ= 3/4.
I'll use x in place of θ
Let's isolate the sine term and then square both sides
3sin(x) + 4cos(x) = 5
3sin(x) = 5-4cos(x)
(3sin(x))^2 = ( 5-4cos(x) )^2
9sin^2(x) = 25-40cos(x)+16cos^2(x)
9sin^2(x) = 25-40cos(x)+16(1-sin^2(x))
9sin^2(x) = 25-40cos(x)+16-16sin^2(x)
9sin^2(x)+16sin^2(x) = 25-40cos(x)+16
25sin^2(x) = 41-40cos(x)
25(1-cos^2(x)) = 41-40cos(x)
25-25cos^2(x) = 41-40cos(x)
Now let w = cos(x), so we now have the following
25-25w^2 = 41-40w
25w^2-40w+41-25 = 0
25w^2-40w+16 = 0
(5w - 4)^2 = 0
5w-4 = 0
w = 4/5
Therefore cos(x) = 4/5
Use the pythagorean theorem or unit circle to find that if cos(x) = 4/5, then it leads to sin(x) = 3/5. This is exactly because of the 3-4-5 right triangle.
Then lastly,
tan(x) = sin(x)/cos(x)
tan(x) = sin(x) ÷ cos(x)
tan(x) = (3/5) ÷ (4/5)
tan(x) = (3/5) * (5/4)
tan(x) = (3*5)/(5*4)
tan(x) = 3/4
Hi! Can someone please explain?I will give brainliest :)
Answer:
$8.20
Step-by-step explanation:
2.35+2.35=4.7
4.7+1.5=6.2
6.2+2=8.2
Three out of every ten crates of grapes
were spoiled when the shipment arrived.
If the company threw away 24 crates of
spoiled grapes, how many crates were in
the shipment?
Joel digs a hole at a rate of 3/5 feet every 10 minutes. After digging for 30 minutes, Joel places a bush in the hole that fills exactly 1/2 feet of the hole. Relative to ground level, what is the elevation of the hole after placing the bush in the hole? Enter your answer as a simplified mixed number in the box.
After excavating and inserting bushes, the hole's elevation in feet is 1 1/10 feet.
3/5 feet per 10 minutes are dug up on average.
After 30 minutes, the elevation or depth of the hole:
3/5 × (30/10) = (3/5 × 3) = 9/5 feets
Consequently, after 30 minutes, the hole's height will be 9 1/2 feet.
Elevation after planting bushes in half of the hole:
After 30 / 2 minutes, the hole's elevation was 2/ (9/5)
=2/(9 /5 )
= (9 /5 ) × 1/2
= 9/10 feet.
Consequently, the hole is elevated by 1 1/10 of a foot above the surrounding ground.
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How is 8.67 become 8 2/3 (please help)
Answer:
Step-by-step explanation:
Because 8 2/3 is basically 8.66666666... (you can find this out by doing division 2÷3)
There's an infinite amount of 6's at the end and so the answer got rounded up to 8.67.
Anything above 5 when rounding will be rounded up.
A ball is dropped from a 70-m building. The height (in meters) after t sec is given by h (t) = -4.97 +70.
(a) Find h (2) and h (2.5).
(b) Interpret the meaning of the function values found in part (a).
Part: 0 / 4
Part 1 of 4
(a) h (2) =
X
5
In quartic equation, The player will catch the ball on its way down, at about 4.346 seconds. .
What is the quartic equation's formula?
It might be argued that using this formula makes it possible to solve the quadratic with a pencil. Ax4 + bx3 + cx2 + dx + e = 0 is an analogous formula for the generic quartic equation.h = -16t2 + 70t + 4
We want to know how many seconds it takes for the ball to be 6 feet above the ground.
We want to know the value of t when h = 6 . So plug in 6 for h and solve for t .
6 = -16t2 + 70t + 4 Subtract 6 from both sides of the equation.
0 = -16t2 + 70t - 2 Let's solve this quadratic equation using the quadratic formula.
t = -70 ± √70² - 4( -16)(-2)/2(-16)
t = -70 ± √4900 -128/ -32
t = -70 ± √4772/ -32
t = -70 + √4772/ -32 ≈ 0.029
t = -70 - √4772/ -32 ≈ 4.346
So we know that
(a) at 0.029 seconds, the ball is 6 feet above the ground and on its way up, and
(b ) at 4.346 seconds, the ball is 6 feet above the ground and on its way down.
The player will catch the ball on its way down, at about 4.346 seconds.
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-a + 5y
When a=-5 and y=6
Answer:
35
Step-by-step explanation:
-a +5y
-(-5) +5(6)
5 + 30
35
Find the mode for the following distribution. Number Frequency 36 3 40 5 44 9 48 7 52 7 56 5 60 3 What is the mode? 48 44 52 40
The mode for the following distribution is-
Number Frequency 36, 3, 40, 5 ,44, 9, 48, 7 ,52 7, 56, 5, 60, 3
is 56.
Mode is most occurring number is 56.
One of the values of the measurements of central tendency is the mode. This figure offers us an approximate notion of which elements in a data collection appear the most frequently.
For example, you may be aware that a college offers ten distinct courses to students. Now, out of them, the course with the most student registrations will be counted as the mode of our supplied data (number of students taking each course). Overall, mode notifies us about the item with the highest frequency in the data set.
The mode is one of the values of the central tendency measurements. This number offers us a sense of which elements in a data collection appear the most frequently.
For example, you may be aware that a college offers ten distinct courses to students. Out of these, the course with the most student registrations will be counted as the mode of our supplied data (number of students taking each course). Overall, mode informs us about the most frequent item in the data collection.
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Answer:
The answer is 44, as it occurs most frequently. The easiest way to remember this is "mode" equals "most".
d-6e+4f=-12
2d+5f=-15
d=0
Answer:
What digital/technological features will your futuristic bath/shower time utilize?
WhWhat are the coordinates of the vertex of the function f(x) = x2 − 12x + 5?
(6, 31)
(−6, 31)
(6, −31)
(−6, −31)
Answer:
(6, -31)
Step-by-step explanation:
Answer:
I think (6, -31)
Need help with my homework. Do not really get how I am supposed to do it.
an amusement park sells child and adult tickets at a ratio of 7 child tickets for every 1 adult ticket. on saturday, they sold 147 child tickets. how many total tickets did the amusement park sell on saturday?
Answer:
189 tickets
Step-by-step explanation:
The ratio 8 : 1 has a difference of 7 ratio units. The difference in tickets is 147, so each ratio unit must represent ...
(147 tickets)/(7 ratio units) = 21 tickets/ratio unit
The total sales was 8+1 = 9 ratio units, so was ...
(9 ratio units)(21 tickets/ratio unit) = 189 tickets
brainy please
In a day care center each child takes three classes and either passes or fails each class. The grades are shown in the table below. P represents a passed class, and F represents a failed class. Let X represent the number of classes failed by a child. Construct a probability distribution for X. Arrange x in increasing order and write the probabilities P(x) as simplified fractions. Child Grades Child 1 PFP Child 2 PPF Child 3 FFP Child 4 PPP Child 5 PFP Child 6 PPF Child 7 FPF Child 8 PPP Provide your answer below:
The probability distribution for X in a day care center where each child takes three classes and either passes or fails each class will be:
0 = 1/4
1 = 1/4
2 = 1/4
How to illustrate the information?It should be noted that from the information, the grades are shown in the table below.
P represents a passed class.
F represents a failed class.
X represent the number of classes failed by a child.
The probability that the number of classes failed by a child is 0 will be:
= 2/8
= 1/4.
The probability that the number of classes failed by a child is 1 will be:
= 4/8
= 1/2
The probability that the number of classes failed by a child is 2 will be:
= 2/8
= 1/4.
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PLEASE HELP 50 POINTS!!
In the triangle below, which of the following equations could be used to find z?
The equation that can be used to find z in the right triangle is sin 28° = 20 / z
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The side and angles of a right angle triangle can be found using trigonometric ratios.
The triangle XMI is a right angle triangle.
where
∠M = 90 degrees
∠X = 28 degrees
∠I = ?
Therefore, the side z can be found as follows;
sin ∅ = opposite / hypotenuse
where
opposite side = 20
∅ = 28°
Hence,
sin 28° = 20 / z
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Answer: a
Step-by-step explanation:
a
HELP! ALgebra 2 Honors
How do you find the x-intercept and y-intercept of
f(x)-2|x+4|-3
Teri tau KO tailai Mubarak ha bak
4x^2 - 25 < 0 inequality
Answer:
x∈(−25,25)
SOLUTION STEPS4x2−25<0
Add 425 to both sides.
x2<425
Calculate the square root of 425 and get 25. Rewrite 425 as (25)2.
x2<(25)2
Inequality holds for ∣x∣<25.
∣x∣<25
Rewrite ∣x∣<25 as x∈(−25,25).
x∈(−25,25)
Answer: x > 5/4
First, add 25 to both sides
4x² < 25
Then take the square root
4x < 5
Finally, isolate the variable by dividing by 4
x < 5/4
Because you divided, the sign gets flipped
x > 5/4
Hope this helps!
42
== (3)
b= (10)
Write a + b- c as a column vector
The column vector is discussed below.
What is column vector?In order to write a vector as a column vector: Work out the horizontal component ( x component). Work out the vertical component ( y component). Write the column vector.
Given:
a + b- c
So, If the number is positive, the direction is to the right.
If the number is negative, the direction is to the left.
Also, If the number is positive, the direction is upwards.
If the number is negative, the direction is downwards.
So, according to that 'a' will be in right ( upward) direction and 'b' also be in right ( upward) direction.
Then, 'c' is negative in left ( downward ) direction.
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Radicals that have the same radicand (inside) and index (kickstand) are?
Hector earned $2640 through an academic scholarship. He used three-eighths of it to buy books. How much of the
scholarship money was used for books?
The scholarship money used by Hector to purchase books is $990
Hector earned $2640 through an academic scholarship.
Hector used three-eighths of his earned academic scholarship of $2640 to buy books
This is a problem of fractions
In simple words, Fractions means the parts of a whole. The whole can be an object or a group of objects. For example, when we cut a piece of cake from the whole of it, then the portion is the fraction of the cake.
The fraction is also termed as a portion or section of any quantity.
Money used for buying books = 3/8 of $2640
= 3/8 × 2640
= 7920/8
= 990
Hence, the scholarship money used by Hector to purchase books is $990
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What is 4389+342 equal to
Answer:
4731
Step-by-step explanation:
4389+342=4731
pls don't forget to mark as brainliest
(11) How many students are there all together? In a school result 20% students passed in all three subjects (Maths, English and Dance), 46% failed in Maths, 57% failed in English and 42% failed in Dance, 35% failed in Maths and English, 25% failed in English and Dance, 15% failed in Dance and Maths. What percentage of the students failed in all three subjects?
10 percent of the students failed in all three subjects.
Let the us assume that the total number of students in the school are 100.
Thus, according the the information given-
number of students who passed in all three subjects = 20
⇒ number of students who failed in at least one subject = 100 - 20 = 80
Let the number of people who failed in all three subjects be a
Then, as per the given information, we can make a venn diagram as shown in the figure below.
Now, the sum of all the terms in the venn diagram must be 80 since 80 people failed in at least 1 subject. Thus, we get the following equation-
a -3 + 35 - a + 25 - a + a + a - 4 + 15 - a + 2 + a = 80
a + 32 + 25 + 11 + 2 = 80
a + 70 = 80
a = 80 - 70
a = 10
Thus, the percentage of the students who failed in all 3 subjects will be-
10/100 × 100
= 10%
Hence, 10 percent of the students failed in all three subjects.
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Consider the tables created with Fahrenheit and Celsius temperatures. Table A represents the function that models Celsius temperature, C(F), based on the given Fahrenheit temperature, F.
Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)?
A table which could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F) is: option A.
C -20 -15 -5
F(C) -5 4 23
What is temperature?Temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).
In Science, temperature can be measured by using a thermometer and its units of measurement include the following:
Celsius (°C)Kelvin (K) Fahrenheit (°F)What is an inverse function?In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function f(x). In Mathematics, a given function f(x) and its inverse function has the following property f⁻¹(f(x)) = x.
Based on the given function which models the Fahrenheit temperature, F(C) and Celsius temperature, C, the inverse of C(F) is as follows:
C -20 -15 -5
F(C) -5 4 23
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Answer:
A
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Multiply 6 1/4 x 3 3/5
Pls help me as fast as possible
2)
Which set is of whole numbers but not natural numbers?
Of 1 1 11
2'4'8
0 {1/1/2
;}}
O {-2,-3,-4}
O{0, 1, 2, 3}
O {√-1,√-4,√-5}
O {√2, T, √3}
The set which represents whole numbers but are not natural numbers is:{0,1,2,3 }
Given, we have the following sets:
{₋2,₋3,₋4} = Integers
Negative numbers and all entire numbers are both considered integers. A number without a decimal or fractional element is known as an integer, which encompasses both positive and negative numbers, including zero.
{0,1,2,3} = whole numbers
Whole numbers refer to all natural numbers, including zero (0). We are aware that the term "natural numbers" refers to a group of counting numbers beginning with 1, 2, 3, and so forth. Simply said, a collection of numbers that are whole numbers are those that do not contain any fractions, decimals, or even negative integers. There are zeroes and a group of positive integers in it. whereas all positive integers from 1 to infinity are included in the number system, which also contains natural numbers, which are also used for counting. There is no zero included.
{√₋1 , √₋4 , √₋5 }= Irrational numbers
We are aware that the only numbers that cannot be stated in the form of p/q, where p and q are integers and q 0, are real numbers. For instance, the numbers √5, √3, and so on are irrational.
hence we get the set which represents whole numbers but not natural numbers is {0,1,2,,3,4}
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