The value of YZ = 2 units.
What are collinear points?The Latin words "col" and "linear" are combined to form the word "colinear." "Col" stands for "together," and "Linear" is a line. Collinear points are hence points that are situated along a single line. Numerous instances of collinearity can be observed in daily life, such as a line of pupils standing together.
Given X, Y, and Z are collinear. Y is between X and Z.
so XY + YZ = XZ
given XY = 12 units and XZ = 14 units
XY + YZ = XZ
12 + YZ = 14
YZ = 14 - 12
YZ = 2 units
Hence measure of YZ is 2 units.
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A person invests $1000 in an account that earns 5.5% annual interest. Find when
the value of the investment has doubled.
Answer:
P: the principal, the amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Compound Interest:
P: the principal, amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
n: the number of times it is compounded.
Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:
P =$5000, r = 6% , t = 4 years
a) simple : A = P(1+rt)
A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200
b) compounded annually, n = 1:
A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38
c) compounded semiannually, n =2:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85
d) compounded quarterly, n = 4:
A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93
e) compounded monthly, n =12:
A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44
f) compounded daily, n =365:
A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12
A 98% confidence interval for a proportion is found to be (0.47, 0.53). What is
the sample proportion?
A. 0.50
B. 0.53
C. 0.51
D. 0.49
Answer: .50
Step-by-step explanation:
A pex
Consider the sequence 1, 4, 16, 64, 128, …
Which statement describes the sequence?
A. The sequence diverges.
B. The sequence converges to 0.
C. The sequence converges to ∞.
D. The sequence converges to –∞.
Answer:
b is correct answer
Step-by-step explanation:
that is correct answer
Answer:
The sequence diverges
Step-by-step explanation:
F(5)= 12 for a geometric sequence that is defined recursively by the formula f(n) = 0.3• f(n-1), where n is an integer and n>0. Find f(7)Round your answer to the nearest hundreth
Answer:
1.8
Step-by-step explanation:
Answer:
1.8
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
14, 10, 6, ...
Answer:
Step-by-step explanation:
Each term in the sequence is 4 less than the previous term. That indicates an arithmetic sequence, which has the form a(n) = a(1) + d(n -1), where d is the common difference. Here the common difference is -4, and so the appropriate sequence is
a(n) = 14 - 4(n - 1)
A sphere has a radius of 24 centimeters. What is its volume?
V
=
Cm^3
Hello there!
Answer:
[tex]V = 18432\pi[/tex] or approximately 57876.48
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi R^{3}[/tex]
R = 24
[tex]V = \frac{4}{3} \pi *24^{3} = 18432\pi[/tex]
if [tex]\pi =3.14[/tex] then:
[tex]V = 57 876.48[/tex]
Please help me fast 20 points
Step-by-step explanation:
MY ANSWER IS CORRECT SO GIMME 5 STARS AND BRAINLIEST PLSPLSPLS
Kate has $400. She wants to have $430 to buy a couch. How much interest would she have to earn in order to get the additional $30?
Select the best answer from the choices provided.
A. 3%
B. 4.5%
C. 6%
D. 7.5%
Answer:
D) 7.5%
Step-by-step explanation:
We can solve this through guessing and checking, or we can do this mathematically. We will try both approaches.
Mathematically:
We know that to get the extra $30 if we have $100, is a 30% interest. Now, since we have 4x 100, and these numbers are inversely proportional, we will need to divide 30 by 4. Doing this gives us 30/4 = 7.5, so the answer is 7.5%.
Guess and Check:
This way is a bit slower, but we will go through each answer and find how much money we would get from them. So, we would take our percent, change it to a number of that percent, considering we are taking it from 100, and multiply it by 4 since we have $400. We will get each of these respectively:
A) 3% = 3 * 4 = $12
B) 4.5% = 4.5 * 4 = $18
C) 6% = 6 * 4 = $24
D) 7.5% = 7.5 * 4 = $30
As you can see, D) gives us that extra $30, so the answer is D) 7.5%.
Hope this helped!
ASAP
- WILL MARK BRIAILST
Answer: Maybe D...........?
How much fabric is used to create the tent, induding the bottom?
A. 276.4
B. 293.2
C. 396.4
D. 466.4
Answer:
B
Step-by-step explanation:
45097 divided by 23 please help me
Answer:
1409.28
Step-by-step explanation:
hope this helps :)
Farmer Johnson is putting fencing up around the field used for his cows. How many yards of fencing will he need?
Answer: 700 yards of fencing (assumed).
Step-by-step explanation:
To be able to calculate the number of yards that Farmer Johnson needs, you will have to know the dimensions of the field.
I will therefore assume certain figures and you can use it as a reference.
Assume that the field is a rectangular field that measures 200 yards in length and 150 yards in breath.
This means that the amount of yards needed will be the perimeter of the yard:
Perimeter = (Length * 2) + (Width * 2)
= (200 * 2) + ( 150 * 2)
= 400 + 300
= 700 yards of fencing.
If mZBCD = (7x + 10)' and MBAD = (19x – 50), find mBAD.
Answer:
could u upload the figure as well?
Step-by-step explanation:
Chanise's allowance is 1 3 of her older brother's allowance. Chanise's allowance is $6 per week. Solve the equation a 3 =6 to find out how much allowance Chanise's brother earns in a week.
Answer:
a = $ 18
Step-by-step explanation:
It is given that Chinase's allowance is $6 per week and it is 1/3rd of his brother's allowance. Assuming the brother's allowance as "a", we can write the equation as follows:
[tex]\$6 = \frac{a}{3}\\a = (\$6)(3)[/tex]
a = $ 18
Therefore, the allowance earned by Chinse's brother every week is found to be $ 18.
Kyle earns 11.2% commission on his sales at the electrical retail store. He made sales worth $8571 this month. how much commission has he earned? Give your answer to the nearest dollar.
Answer:
Sales=8571$
Commission=11.2% of Sales
=11.2/100 × 8571$
=(11.2×8571)/100 $
=959.952$ Which is nearly equal to 960$.
*mark me brainliest
For which graph is the parent function y= x2?
Answer: Well, it’s obviously not the first one. But if you could scroll down, so I could see the other graphs, that would be amazing. It would also help me answer the question!
Answer:
option a
Step-by-step explanation:
edg
Find the value of x in each parallelogram
Answer:
Step-by-step explanation:
a) x and 53 are adjacent angles of a parellelogram:
therefore, their sum will be 180 degrees
x + 53 = 180 --> x = 180 - 53 = 127 degrees
b) We know that opposite angles in a parallelogram are equal:
therefore, x = 113 degrees
c) Similarly, x = 80 degrees
d) x + 62 = 180
x = 180 - 62 = 118 degrees
Help me please past due! Complete all 5 problems in simplest form and tell me what you did
Explain a few ways that placing figures in a coordinate plane can be helpful for solving different problems.
Use the coordinate plane to graph points, lines, and geometric forms in the different quadrants, and then use the absolute value to determine the distances between them.
What does ordinate math entail?
An exact position of a point in the coordinate plane can be demonstrated using a collection of values called coordinates. Meaning of a Coordinate Plane. The intersection of the x-axis and y-axis, two perpendicular lines that form a 2D plane known as a coordinate plane.
Which three coordinate systems are there?
Cartesian, cylindrical, and spherical are the three most often used coordinate systems. We'll discuss a cylinder-based coordinate system as well as a cartesian-based one in this chapter.
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Which set of ordered pairs represents y as a function of x?
Please answer my question
A. {(2,2), (3,3), (2,4), (5,5)}
B. {(−1,−2), (−2,−1), (−2,7), (−4,8)}
C. {(−1,6), (4,3), (1,1), (−3,4)}
D. {(0,1), (2,1), (3,1), (0,2)}
Answer:
C.
Step-by-step explanation:
The set of ordered pairs can only be a function if the x value is not repeated .Thus,only C is a function as the x values (-1,4,1,-3) are unique while the other options have a repetition of its certain x values.
I hope ive helped
Someone help me out my grade are bad
Answer:
= 15
Step-by-step explanation:
hope this helps
Answer:
15
Step-by-step explanation:
mrk me brainiest plz
Find the distance AB:
A = (-2, 1) and B = (5, -4)
Simplify.
d = √(5− −2)² + (−4 − 1)²
A. √74
B. √24
C. √-16
The formula to calculate the distance:
d = √(x₂ - x₁)² + (y₂ - y₁)²
The points are:
(x₁,y₁) = -2, 1(x₂,y₂) = 5, -4We substitute and solve:
d = √(-5(-2))² + (-4-1)²
d = √7² + (-5)² = √49 + 25
d = √74 ====> Alternative "A"
Standardized tests for certain subjects, given to high
Which of the following is the correct interpretation of P(X
school students, are scored on a scale of 1 to 5. Let X
> 4)?
represent the score on a randomly selected exam. The
distribution of scores for one subject's standardized test
• The probability of a of a randomly selected test having
is given in the table.
score of at most 4 is 0.36.
• The probability of a randomly selected test having a
Score
score of at least 4 is 0.36.
Probability
0.18
0.20
0.26
0.21
0.15
• The probability of a randomly selected test having &
score lower than 4 is 0.85.
• The probability of a randomly selected test having a
score higher than 4 is 0.15.
Answer: • The probability of a randomly selected test having a score higher than 4 is 0.15.
This is the correct interpretation of P(X > 4). P(X > 4) represents the probability of a randomly selected test having a score that is greater than 4. This is calculated by summing up the probability of all the scores that are greater than 4 in the distribution table.
Step-by-step explanation:
Skill Builder
Sereka is the rewards program manager for
Landmiles. Clients receive "land miles" for
their purchases that can be traded in for a
financial reward. To determine the value of
the financial reward that clients receive she
uses the following function rule:
f(x)=15{}(x-25)**
x: represents the number of reward miles
traded in and is always an integer value.
f(x): represents the value of the reward in
dollars.
Tristan and Delaney are tasked with testing
the system and made the following reward
redemptions.
• Tristan traded in 1500 miles for a $290
reward.
Delaney traded in her miles for a $383
reward.
If Tristan and Delaney had traded in all
of their miles together, they would have
received a reward of $665. What are
the possible numbers of land miles that
Delaney traded in?
Answer:
x: represents the number of reward miles
traded in and is always an integer value.
f(x): represents the value of the reward in
dollars.
Tristan and Delaney are tasked with testing
the system and made the following reward
redemptions.
• Tristan traded in 1500 miles for a $290
People attending a basketball game either supported the home team or the visiting team. If 549 of the people attending supported the home team and 351 supported the visiting team, what percentage supported the home team?
Answer:
Your answer is about 36%.
Step-by-step explanation:
First you do 549-351 = 198.
You do this to find the amount of people supporting the home team.
Then you do 198/549 = 0.36065573770492.
Times this number by 100 and you have your answer of 36.065573770492%.
Answer:
36%
Step-by-step explanation: First, you need to find out what number of people supported the home team by finding the difference.
549-351=198
To turn the number of home team supporters into a percentage, you need to take the fraction [tex]\frac{198}{549} \\[/tex] and convert it to a decimal by division.
198/549=.3606557377
Round to the hundredths place
=.36
move the decimal, and you have your percentage
36%
-9 - (-4)
This is for homework help :’)
Answer:
-5
Step-by-step explanation:
-9 - ( -4 )
= -9 + 4
= -5
Step-by-step explanation:
-9-(-4) ( when there is a- in front of an expresion in parentheses, change the sign of each term in the expression )
-9+4 (Calculate the sum)
- 5
What is a formula for the nth term of the given sequence? 15,75,375
Answer:
3 × 5 ^ n
Step-by-step explanation:
since the series is exponential, the ratio between adjacent terms is 5.
nth term of geometric/exponential series is given by:
nth term = first term × (ratio)^(n-1)
= 15 × 5^ (n-1)
= 15 × 5^n × 5^-1
= 3× 5^n
Select the correct answer.
Which equation shows function gin factored form?
g(x) =2x^2-6x-56
Answer:
C) g(x)=2(x+4)(x-7)
Step-by-step explanation:
g(x)=2x²-6x-56
g(x)=(2x+8)(x-7)
g(x)=2(x+4)(x-7)
Therefore, C is correct. You can expand to check your answer.
Write a rule to describe each transformation.
S(1,-4), R(2,0), 2(3,0), P(3,-2)
to
S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)
The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.
what is transformation ?Four distinct approaches to modify the position and/or shape of a point, line, or geometric figure are collectively referred to as transformations. The Pre-Image, which refers to the object's initial shape, and the Image, which refers to the object's ultimate shape and location after transformation, are both terms. Transformations can be divided into three categories: translations, reflections, and dilations. There are two types of transformations that can be done to a function: vertical (which affects the y-values) and horizontal (affects the x-values). The four transformation variables are included in the equation of a function that is shown below (a, b, h, and k). changing the log. Take the log of every observation as an example. Transposition by the square root. The square root of each observation is what is need for this.
given
Translation or shift vector refers to the pair (tx, ty). Column vectors are another way to visualize the aforementioned equations.
S(1,-4), R(2,0), 2(3,0), P(3,-2) to S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)
is S (-6, -2) , R( -6 , 2)
The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.
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PLEASE HELP
The right triangle below is formed by squares A, B, and, C. Square A has an area of 64 meters and Square C has an area of 289 square meters. What is the perimeter of Square B?
9514 1404 393
Answer:
60 meters
Step-by-step explanation:
The area of Square B is the difference of the areas of squares C and A, so is 225 square meters. The side length is √225 = 15 meters, so the sum of the lengths of the four sides is 4·15 = 60 meters.
The perimeter of square B is 60 meters.