Answer:
He paid $108.33 down and will owe $216.67
Step-by-step explanation:
:)
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
Solve for x: (5 points) negative 3 over 2, multiplied by x minus 9 equals negative 27 a −24 b −12 c 11 d 12
Answer: b, 12
explanation: combine -3/2 * x and u get -3/2x. then isolate the variable by doing the inverse of subtraction on both sides. (add 9 on both sides). then do the inverse of multiplication on both sides. (divide by -3/2 on both sides)
task 486 angles in a triangle
Answer:
Angles in a triangle adds to 180
Step-by-step explanation:
Hope this helps!
Graph that line with slope -1 passing through the point (-2,4)
Answer:
To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:
y - 4 = -1(x - (-2))Simplifying this equation, we get:
y - 4 = -x - 2y = -x + 2Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.
GRAPHICAL REPRESENTATION:|
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Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos were given: 10, 13, 15, 15, 17, 29 What is the average amount of likes each of her photos got? Hint: The average is your mean. 22 15 15.5 16.5
The average number of likes will be 16.5. the correct option is D.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.
Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.
The average will be calculated as:-
Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6
Mean = 99 / 6
Mean = 16.5
Therefore, the average number of likes will be 16.5. the correct option is D.
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Kai is buying boxes of cookies at a bakery. Each box of cookies costs \$4$4dollar sign, 4. He wrote this equation to find how many dollars he'll spend (d)(d)left parenthesis, d, right parenthesis when he buys some number of boxes of cookies (c)(c)left parenthesis, c, right parenthesis:
d=4cd=4cd, equals, 4, c
Identify the dependent and independent variables.
The number of boxes of cookies Kai buy : independent variable
The amount of the cookies will cost in dollars : dependent variables
Based on the given conditions, formulate,
Each box of cookies costs is = \$4$4dollar (sign, 4).
Cookie represented by c
The required equation is,
d = 4cd = 4cd = 4c
The price is determined by the number of cookies purchased.
c is the independent variable
when c is changes d is changed
So, d is the dependent variable
variables of the equation.
So,
We can write,
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Then, the cost of each box of cookies is $4.
It means,
The cost of 1 box of cookies is = $4.
The cost of 2 boxes of cookies is = $(4+4) = $(2×4)
The cost of 3 boxes of cookies is = $(4+4+4) = $(3×4)
The cost of cookies = (Number of boxes × 4)
The required equation is,
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Therefore,
The boxes of cookies Kai buy : independent variable
The cookies will cost in dollars : dependent variables
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Boxes of cookies (c) is Independent.
Dollars spent (d) is Dependent.
How can we write 1000 as a multiple of 10?How can we write 1000 as a multiple of 10?
Answer:
10 x 10 x 10
Step-by-step explanation:
Or just add zeros
Kinda confused by the question tho
Answer:
Hmm, ok so-
Step-by-step explanation:
10 x what equals 1000-
Just think.
10 x 100 = 1000
The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
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5 COINS AND CROWNNNNNN PLEASEEEEE FIND X AND Y, I NEED THIS SO BAD PLEASE SHOW WORK, I WILL GIVE BRAINLEST
Answer: change 9x and 5x
Step-by-step explanation:
Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
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As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
what is the measurement of angle p a 36B 64 c116 D 244
Answer:
b 64
Step-by-step explanation:
because p is just a mirror of o ,and o =64
Which of the following equations are correct?
Answer:
the last one
Step-by-step explanation:
because it is the right answer
4. Prove the following identities:
(a) (a ÷cos A+b ÷sin A)²+(a ÷ sin A-b ÷ cos A)²=a²+b²
By algebra properties and trigonometric formulas, the trigonometric expression (a · cos A + b · sin A)² + (a · sin A - b · cos A)² is equivalent to the algebraic expression a² + b².
How to prove a trigonometric expression
In this problem we must prove that the trigonometric expression (a · cos A + b · sin A)² + (a · sin A - b · cos A)² is equivalent to the algebraic expression a² + b², this can be done both by algebra properties and trigonometric formulas. First, write the given expression:
(a · cos A + b · sin A)² + (a · sin A - b · cos A)²
Second, expand the expression by algebra properties:
a² · cos² A + 2 · a · b · cos A · sin A + b² · sin² A + a² · sin² A - 2 · a · b · cos A · sin A + b² · cos² A
(a² + b²) · cos² A + (2 · a · b - 2 · a · b) · cos A · sin A + (a² + b²) · sin² A
(a² + b²) · (cos² A + sin² A)
Third, use the fundamental trigonometric formula:
a² + b²
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20.) Which inequality represents the solution on the graph?*

Answer:
Option 2
Step-by-step explanation:
You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:
1
.\(3x \geq -9\\x \geq -3\)
doesn't match
2.
\(-7x\geq 21\\x\leq -3\)
Does match, so this is the answer.
do it for rem ;) question below
Answer:
x=25
Step-by-step explanation:
there is a property call power of a point and applies for our case
\(20^2=16\times x\\\\400=16x\\\\x=\frac{400}{16}\\\\x=25\)
i don't know if you know power of a point but there's nothing else to use
what are the x intercepts of y=4x^2-12x+4
The x-intercepts of the given equation 4x^2-12x+4 is -3/2
What is Quadratic equation ?
Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0
where c is a constant.
Given equation ,
y = 4x^2+12x+4
so we have to find the x-intercept , make y = 0
and we have to solve for the given quadratic equation
so,
we get
4x^2+12x+4 = 0
(2x)^2 + 9 + 12x = 0
(2x+3)^2 = 0
x = -3/2
There is double root unique intercept or tangent at x = -3/2
Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2
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3a =2b + -6 (solve for a)
Answer:
shown below
Step-by-step explanation:
3a = 2b - 6
a = (2b - 6) / 3 or 2b / 3 - 2
Answer:
a = (2b-6)/3
Step-by-step explanation:
3a = 2b + -6
lets make a the subject of the formula
divide both sides of the equation by 3
3a/3 = a = (2b-6)/3
a = (2b-6)/3
The coldest temperature recorded on the surface of a planet was - 248 Celsius is the warmest temperature recorded on the surface of the planet was 108 Celsius what are the correspondence temperatures in degrees Fahrenheit
Answer:
-414.4 F° and 226.4 F°
hope it helps
which of the following exponential functions represents the graph below?
\( a.\: \: \: \: \: \: f(x) = 5 • ( \frac{1}{4}) {}^{x} \)
\( b. \: \: \: \: \: \: \: \: \: \: \ f(x)5•4 {}^{x} \)
\(c .\: \: \: \: \: \: f(x) = 4• ( \frac{1}{5}) {}^{x} \)
\(d. \: \: \: \: f(x)=4•5 {}^{x} \)
Step-by-step explanation:
the answer is not a and b because when we accept 0 from x and look at graphic you can see 4
ellie runs 5/6 mile in 10 minutes.what is ellie's speed in miles per minute?
Answer:
1/12 miles/minute
Step-by-step explanation:
To figure out how fast ellie runs in 1 minute, we can set up this equation:
5/6 = 10x (x being the speed per minute)
We can divide both sides by 10
5/60 = x
Then simplify the fraction to get:
1/12 = x
Answer:
1/12
Step-by-step explanation:
Pablo solved the polynomial equations given in the table. Determine whether each polynomial is correct. Select Correct or Incorrect for each equation.
Equation
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
(12c-8c²)+(5c²- 10c) = -3c²+2c
The first equation is incorrect.
The second equation is correct.
The third equation is correct.
Let's go through each equation and determine whether it is correct or incorrect:
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
To determine if this equation is correct, we need to simplify both sides and check if they are equal.
On the left side:
(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9
On the right side:
-8b² + 14b - 9
Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
Again, we need to simplify both sides of the equation and check if they are equal.
On the left side:
(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5
On the right side:
-3a² + 13a + 5
Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.
(12c-8c²)+(5c²- 10c) = -3c²+2c
Again, let's simplify both sides and compare them.
On the left side:
(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c
On the right side:
-3c² + 2c
Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.
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If cotangent of theta is < 0, in which quadrant(s) could the terminal side of
angle theta lie?
Q2 and Q4
02 and 03
Q3 only
04 only
Answer:
Q2 and Q4
Step-by-step explanation:
Trigonometric functions and quadrants:
In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.
In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.
In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.
In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.
Cotangent:
The cotangent is the cosine divided by the sine.
Cotangent negative, which quadrants?
It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.
What is the difference between a savings and a checking account? HELPPP?!
1.A checking account creates interest.
2.A savings account creates Interest.
3.A savings account lets you take out as much money as you want as many times as you want.
4.Both accounts are the sam.
Answer:
3
Step-by-step explanation:
Determine the total number of kilograms from 15boxes of cremora
Using arithmetic operation, the total weight of 15 boxes of Cremora is obtained as 5.625 kilograms.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Use the arithmetic operation of division.
If 1 box of Cremora measures 375 grams, then convert that to kilograms by dividing by 1000 -
375 grams = 0.375 kilograms
So, each box of Cremora weighs 0.375 kilograms.
Use the arithmetic operation of multiplication.
To find the total weight of 15 boxes of Cremora, multiply this weight by the number of boxes -
Total weight = 15 boxes x 0.375 kilograms per box
Total weight = 5.625 kilograms
Therefore, the total weight of 15 boxes of Cremora is 5.625 kilograms.
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Determine the total number of kilograms from 15boxes of Cremora. 1 box of Cremora measures 375 grams.
girl name are April, may, June, what is the name the mother?
mary is the 4th childs nam,e
Helpppppppppppppppppp please
The rules of operations states that we deal with parentheses first. So, inside the parentheses, we have, 2 times 3. Multiply that. That gives us 6. So now, the equation looks like this:
(6)^2 + 5^2
Now we have to work with the exponents. So, square both numbers.
(6)^2 = 36
5^2 = 25
Now we have:
36 + 25
Now we add. 36 + 25 = 61
61 is your answer.
Statistical data of breakdowns of computer XXX show that the duration for trouble-free operation of the machine can be described as a gamma distribution with a mean of 40 days and a standard deviation of 10 days. The computer is occasionally taken out for maintenance in order to insure operational condition at any time with a 95% probability.
1. How often should the computer be scheduled for maintenance? Should it be shorter or longer than the mean of 40 days?
2. Three XXX computers were acquired at the same time by an engineering consulting firm. The computers are operating under the same environment, workload, and regular maintenance schedule. The breakdown times between the computers, however, may be assumed to be statistically independent. What is the probability that at least one of the three machines will break down within the first scheduled maintenance time?
1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns
1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.
To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:
reliability = 0.95
time = maintenance interval
Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.
2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.
The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:
Probability of no breakdowns = (reliability of a single machine)^3
Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:
Probability of at least one breakdown = 1 - Probability of no breakdowns
By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.
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Enter the amplitude of the function.
f(x) = 5 cos x
The amplitude of a function y=asin(x) and y=acos(x) represents half of the distance between the minium and the maximum points...
y=acos(x)
Where, a is the amplitude Comparing:\( \sf \: y = a \cos x \\ \tt f(x) = 5 \cos x \)
Hence, The amplitude of the given function is 5...
A person invests 4500 dollars in a bank. The bank pays 5.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 7600 dollars?
Therefore, to the nearest tenth of a year, the person must leave the money in the bank for 3.9 years until it reaches 7600 dollars.
What is percent?A percent is a way of expressing a number as a fraction of 100. It is represented by the symbol %. Percentages are often used to represent proportions, rates, or changes in values. Percentages can also be used to compare two quantities. This allows us to compare the relative size of the increase, regardless of the actual dollar amount involved.
Here,
We can use the formula for compound interest to solve this problem. The formula is:
A = P(1 + r/n)*(nt)
where A is the amount of money after t years, P is the principal (the initial amount invested), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.
In this problem, we know that P = 4500, r = 0.0525 (since the interest rate is 5.25%), n = 365 (since interest is compounded daily), and we want to find t when A = 7600.
Substituting these values into the formula, we get:
7600 = 4500(1 + 0.0525/365)*(365t)
Dividing both sides by 4500, we get:
1.6889 = (1 + 0.0525/365)*(365t)
Taking the natural logarithm of both sides, we get:
ln(1.6889) = ln[(1 + 0.0525/365)*(365t)]
Using the properties of logarithms, we can simplify the right-hand side:
ln(1.6889) = 365t ln(1 + 0.0525/365)
Dividing both sides by 365 ln(1 + 0.0525/365), we get:
t = ln(1.6889) / [365 ln(1 + 0.0525/365)]
Using a calculator, we find that t is approximately 3.9 years (rounded to one decimal place).
t=3.9
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