The green object below, is best defined as a Ray named AC.
In geometry, a ray is a part of a line that consists of a single initial point called the endpoint and extends infinitely in one direction. It can be thought of as a half-line, with one end point and the other end extending infinitely.
Rays are named using two points, with the endpoint being mentioned first.
Here, in the figure the green line has one point A and the next C and it is further extending.
Thus, the Green line is a Ray name as ray AC.
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Find that sale price: jeans $85.99 at a 15% discount
The sale price of the jeans would be $73.09
for brainiest:):):):):):)
Answer:
Just a rough try of the STRUCTURE, not the actual. Use a protractor.
bob and carol do a job together in 2 hours. bob can do the job in 6 hours by himself. how long would it take carol by herself? group of answer choices
Carol can do the same work in 3 hours as it is did by bob
What is Arithmetic equation?
The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them.
Addition, subtraction, multiplication, and division are the fundamental mathematical operations.
The process of adding two or more numbers together is called addition.The method of subtraction is used to take things out of the initial group.Multiplication is the process of repeatedly adding the same integer.An object or group is divided into smaller pieces or groups when it is large. .bob + carol = 2 hours
bob = 6 hours
L.C.M of both equation is 6
∴efficiency of bob + carol is 3
∴efficiency bob is 1
Then, 3 - 1 = 2
total work ÷ 2
6 ÷ 2 = 3
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let xy00 − y 0 = 0. try a solution of the form y = x r . is this a solution for some r? if so, find all such r
The square root of a negative number is not defined in the real numbers, r cannot be found. This means that y = x^r is not a solution for any real r.
What is square root ?
A square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
x(r^2 x^(r-2)) - rx^(r-1) = 0
Expanding the powers of x and collecting terms, we have:
r^2 x^r - rx^r + x^r = 0
Dividing through by x^r, we have:
r^2 - r + 1 = 0
This is a quadratic equation that can be solved using the quadratic formula:
r = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -1, and c = 1.
Plugging in the values, we get:
r = (-(-1) ± √((-1)^2 - 4 * 1 * 1)) / 2 * 1
r = (1 ± √(1^2 - 4 * 1 * 1)) / 2 * 1
r = (1 ± √(1 - 4)) / 2
r = (1 ± √(-3)) / 2
The square root of a negative number is not defined in the real numbers, r cannot be found. This means that y = x^r is not a solution for any real r.
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Solve the quadratic equation by the square root method and write the solutions in radical form. Simplify the solutions.
(4x+21)2=27
Answer:
8x+42=27
8x=-15
x=-1.875
Step-by-step explanation:
PLEASE HELP
Question
What is the value of x in this triangle?
Answer:
83 degrees
Step-by-step explanation:
What are angles in a triangle?For any given triangle, the angles inside have to equal 180 degrees.
knowing this, we can create an equation. We have 2 angles, and need to figure out the third.
180 = x + 44 + 53
180 = x + 97
x = 83
so x is 83 degrees.
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Two linear equations and their graph are shown.
Which coordinate point simultaneously satisfies both linear equations?
Answer:
the third one
Step-by-step explanation:
because they both intersect at (4, -3 1/2)
Answer:
The Answer is Third one...
Step-by-step explanation:
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Have a great day !
I need help understanding how to solve perfect square equations (pic as an example)
Answer & Step-by-step explanation:
The main note to remember here is that the square root of 64 can be positive 8 or negative 8, we don't know which was used, so we give TWO answers.
Giovanni went to the Lowe’s looking for supplies. He bought three pounds of cement for $27.75 per pound. A plant for $12.58. He paid $8.99 is sales taxes. How much did he pay in total at Lowe’s?
Step-by-step explanation:
Hey there! Let's break this answer down.
1. If he bough 3 pounds of cement for $27.75 each, that 3x27.75, which is $83.25. So he spent $83.25 on cement.
2. Next, add $12.58 for the cost of the plant to $83.25, which $95.83.
3. Finally, he paid $8.99 for the sales tax. When adding that to $95.83, we get $104.82.
So, his total was $104.82.
Have a great day!
Answer:
104.82
1Step-by-step explanation:
27.75 times 3 equals 83.25 plus 12.58 equals 95.83 then add 8.99 which is $104.92
Example 1Find the length of the segment withthe given endpoints:C (3, 6) and D (7, -3).Post SlideStudents, draw anywhere on this slide!
The segment is a straight line that connects the two points C and D. We want to determine the distance between C and D. Looking at the given points, the x cordinates are 3 and 7. The y coordinates are 6 and - 3.
The first step is to determine the distance between the x coordinate. We can subtract the higher value from the lower value but we must take the absolute value. Therefore, the distance between the x coordinate is 3 - 7 = - 4. The absolute value is 4
The distance between the y coordinate would be 6 - - 3 = 9. The absolute value is 9
The next step is to find the square root of the sum of both distances. It becomes
\(\sqrt{4^2+9^2}\text{ = }\sqrt{97\text{ }}\)The length of the segment is 9.85
ime taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 3 min. if five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (round your answer to four decimal places.)
The probability that the sample average amount of time taken on each day is at most 11 min:
P(\(\bar{X_1}\) < 11) = 0.8682
P(\(\bar{X_2}\) < 11) = 0.8897
We know that the formula for the z-score is:
\(z=\frac{x-\mu}{\sigma}\)
Let X be the time taken by a randomly selected applicant for a mortgage to fill out a certain form
\(\mu_x\) = 10
\(\sigma_x\) = 2
Here, five individuals fill out a form on one day and six on another.
This means that the population is the same on both days, but the samples of different sizes.
On Day 1 the average\(\bar{X_1}\) ∼Norm(10, 2/\(\sqrt{5}\))
We find the probability using z-score.
The probability that the sample average amount of time taken on day 1 is at most 11 min:
P(\(\bar{X_1}\) < 11)
=\(P(\frac{\bar{X_1}-10}{(\frac{2}{\sqrt{5} } )} < \frac{11-10}{(\frac{2}{\sqrt{5} } )})\)
= P(z < 1.118)
= 0.8682
Similarly, on Day 2 the average\(\bar{X_1}\) ∼Norm(10, 2/\(\sqrt{6}\))
So the probability that the sample average amount of time taken on day 1 is at most 11 min:
P(\(\bar{X_2}\) < 11)
=\(P(\frac{\bar{X_2}-10}{(\frac{2}{\sqrt{6} } )} < \frac{11-10}{(\frac{2}{\sqrt{6} } )})\)
= 0.8897
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The complete question is:
The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?
10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)
Answer:
6x+5
Step-by-step explanation:
2x-5+x-5=3x-10+2x+15=5x+5+x=6x+5
Answer:
8x + 10 is the expression for our perimeter
Step-by-step explanation:
2x -5 - x - 5 = x - 10. So the length of the right side is x - 10.
2x + 15 - x = x + 15, so the length of the other missing side is x + 15.
Now we combine like terms and simplify to get the perimeter
(2x -5) + (x) + (x-5) + (x+15) + (x-10) + (2x + 15)
Simplified we get 8x + 10 as the expression for our perimeter
Graph A (-3.-2), B (-5,-4), and C (-3,-4)
Pls solve the problems
Graph attached
‼️will mark as Brainlist‼️During a sale, a store offered a 30% discount on a tablet computer that originally sold for $670. After the sale, the discounted price of the tablet computer was marked up by 30%. What was the price of the tablet computer after the markup? Round to the nearest cent.
According to the discount, the price of the tablet computer after the markup is $610.30.
In this problem, a store offered a 30% discount on a tablet computer that originally sold for $670. We can calculate the discounted price of the tablet computer by finding 30% of its original price and subtracting it from the original price.
Discounted price = Original price - Discount
Discounted price = $670 - 30% of $670
Discounted price = $670 - $201
Discounted price = $469
So, the discounted price of the tablet computer is $469.
The problem then asks us to find the price of the tablet computer after it is marked up by 30%. To do this, we need to add 30% of the discounted price to the discounted price.
Markup price = Discounted price + Markup
Markup price = $469 + 30% of $469
Markup price = $469 + $141.30
Markup price = $610.30
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Solve the equation to find the value of a.
✓ 4a + 5 = 7
Answer:
0.5
Step-by-step explanation:
4a+5=7
4a=7-5
4a=2
a=2/4
Answer:
a = 1/2
Step-by-step explanation:
4a + 5 = 7
4a = 2
a = 1/2
4-(y+9)=10 solve for y
Answer:
y= -15
Step-by-step explanation:
-y - 15=0
-(y+15)=0
y= -15
In 2014, Juanita is married and files a joint tax return with her husband. What is her tentative minimum tax in each of the following alternative circumstances?
a. Her AMT base is $145,000, all ordinary income.
b. Her AMT base is $497,500, all ordinary income.
c. Her AMT base is $145,000, which includes $16,000 of qualified dividends.
d. Her AMT base is $497,500, which includes $16,000 of qualified dividends.
Start with her regular taxable income: $145,000
Add back certain deductions and exemptions that are disallowed under the AMT: $0 (assuming no disallowed deductions or exemptions)Apply the AMT rate of 26% to the resulting AMT income: $145,000 x 0.26 = $37,700Compare the calculated AMT liability to her regular tax liability, and pay the higher of the two amounts (minus any available credits).Therefore, Juanita's TMT would be $37,700 if her AMT base is $145,000, all ordinary income.
What is Juanita's liability if AMT base is $497,500?Start with her regular taxable income: $497,500
Add back certain deductions and exemptions that are disallowed under the AMT: $0 (assuming no disallowed deductions or exemptions)Apply the AMT rate of 28% to the resulting AMT income: $497,500 x 0.28 = $139,400Compare the calculated AMT liability to her regular tax liability, and pay the higher of the two amounts (minus any available credits).Therefore, Juanita's TMT would be $139,400 if her AMT base is $497,500, all ordinary income.
What is Juanita's AMT liability if base is $145,000?Start with her regular taxable income: $129,000 (subtracting the $16,000 of qualified dividends)
Add back certain deductions and exemptions that are disallowed under the AMT: $0 (assuming no disallowed deductions or exemptions)Apply the AMT rate of 26% to the resulting AMT income: $129,000 x 0.26 = $33,540Compare the calculated AMT liability to her regular tax liability, and pay the higher of the two amounts (minus any available credits).Therefore, Juanita's TMT would be $33,540 if her AMT base is $145,000, which includes $16,000 of qualified dividends.
What is Juanita's AMT liability if base is $497,500?
Start with her regular taxable income: $481,500 (subtracting the $16,000 of qualified dividends)
Add back certain deductions and exemptions that are disallowed under the AMT: $0 (assuming no disallowed deductions or exemptions)Apply the AMT rate of 28% to the resulting AMT income: $481,500 x 0.28 = $134,820Compare the calculated AMT liability to her regular tax liability, and pay the higher of the two amounts (minus any available credits).Therefore, Juanita's TMT would be $134,820 if her AMT base is $497,500, which includes $16,000 of qualified dividends.
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use the linear correlation coefficient given to determine the coefficient of determination, r^2 . interpret each r^2 .
a. r=-0.32
b. r=0.13
c. r=0.40
d. r=0.93
a. \(r^2 = 0.1024\): Approximately 10.24% of the variance in the dependent variable can be explained by the independent variable(s).
b. \(r^2 = 0.0169\): Only about 1.69% of the variance in the dependent variable can be explained by the independent variable(s).
c. \(r^2 = 0.1600\): Approximately 16% of the variance in the dependent variable can be explained by the independent variable(s).
d. \(r^2 = 0.8649\): About 86.49% of the variance in the dependent variable can be explained by the independent variable(s).
What is variance?
In statistics, variance is a measure of the spread or dispersion of a set of data points around the mean. It quantifies the average squared deviation of each data point from the mean.
The coefficient of determination, denoted as \(r^2\), represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges between 0 and 1, where 0 indicates no linear relationship, and 1 indicates a perfect linear relationship.
To determine the coefficient of determination, we square the linear correlation coefficient (r) to find \(r^2\).
Let's calculate the coefficient of determination for each given linear correlation coefficient:
\(a. r = -0.32\\\\r^2 = (-0.32)^2 = 0.1024\)
The coefficient of determination, \(r^2\), is approximately 0.1024. This means that about 10.24% of the variance in the dependent variable can be explained by the independent variable(s).
\(b. r = 0.13\\\\r^2 = (0.13)^2 = 0.0169\)
The coefficient of determination, \(r^2\), is approximately 0.0169. This means that only about 1.69% of the variance in the dependent variable can be explained by the independent variable(s).
\(c. r = 0.40\\\\r^2 = (0.40)^2 = 0.1600\)
The coefficient of determination, \(r^2\), is 0.1600. This means that approximately 16% of the variance in the dependent variable can be explained by the independent variable(s).
\(d. r = 0.93\\\\r^2 = (0.93)^2 = 0.8649\)
The coefficient of determination, \(r^2\), is approximately 0.8649. This indicates that about 86.49% of the variance in the dependent variable can be explained by the independent variable(s).
In summary:
a. \(r^2 = 0.1024\): Approximately 10.24% of the variance in the dependent variable can be explained by the independent variable(s).
b. \(r^2 = 0.0169\): Only about 1.69% of the variance in the dependent variable can be explained by the independent variable(s).
c. \(r^2 = 0.1600\): Approximately 16% of the variance in the dependent variable can be explained by the independent variable(s).
d. \(r^2 = 0.8649\): About 86.49% of the variance in the dependent variable can be explained by the independent variable(s).
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Kassidy develops a simulation of campfire smoke for a short film.
The following code segment is responsible for fading particles away:
1: particles ← [100, 100, 100, 1100]
2:
3: FOR EACH particle IN particles {
4: particle ← particle - 1
5: }
A particle with a value of 100 displays at full opacity and a particle with a value of 0 is invisible.
She can use the following mathematical procedures:
The given code segment decreases the values of particles by 1 and makes them gradually fade away.
An array called "particles" is initialized with values [100, 100, 100, 1100].
A loop is executed for each particle in the array.
Inside the loop, the current particle's value is decreased by 1 (particle -= 1).
This decrement operation causes the particles to gradually decrease in value, simulating the fading effect.
A particle with a value of 100 is displayed at full opacity, while a particle with a value of 0 becomes invisible.
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What is the sum (Two-fifths x + StartFraction 5 over 8 EndFraction) + (one-fifth x minus one-fourth)?
Three-fifths x + StartFraction 1 over 8 EndFraction
Three-fifths x + StartFraction 3 over 8 EndFraction
Three-fifths x + StartFraction 5 over 8 EndFraction
Three-fifths x + StartFraction 7 over 8 EndFraction
Answer:
C
Step-by-step explanation:
Luke goes to summer camp with $45 in spending money. The amount of money he has left after n days at camp is modeled by the recursive function f(n) = f(n-1)-7. Modify the explicit function, and simplify it to slope-intercept form.
Answer:
Please mark as Brainliest :)
Step-by-step explanation:
Answer:
Sample Answer
Step-by-step explanation:
Tools -
Question 9
Which expression is equivalent to (x-2)(x - 1)?
A
x²-3x-2
B
x² - 2x-3
с
x²-3x+2
D
x² - 2x + 3
Answer:
I think It is C or A
Step-by-step explanation:
Answer:
def
Step-by-step explanation:
Use the quadratic formula to solve the equation. –x2 + 7x = 8
Answer:
The solutions are:
\(x=\frac{7-\sqrt{17}}{2},\:x=\frac{7+\sqrt{17}}{2}\)
Step-by-step explanation:
Given the quadratic equation
-x² + 7x = 8
Solving using the quadratic formula
\(-x^2+7x=8\)
Subtract 8 from both sides
\(-x^2+7x-8=8-8\)
Simplify
\(-x^2+7x-8=0\)
For a quadratic function of the form ax² + bx + c = 0, the solutions are:
\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)
For a = -1, b = 7, c = -8
\(x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-1\right)\left(-8\right)}}{2\left(-1\right)}\)
\(x_{1,\:2}=\frac{-7\pm \:\sqrt{49-32}}{2\left(-1\right)}\)
\(x_{1,\:2}=\frac{-7\pm \sqrt{17}}{2\left(-1\right)}\)
Separate the solutions
\(x_1=\frac{-7+\sqrt{17}}{2\left(-1\right)},\:x_2=\frac{-7-\sqrt{17}}{2\left(-1\right)}v\)
solving
\(x_1=\frac{-7+\sqrt{17}}{2\left(-1\right)}\)
\(=\frac{-7+\sqrt{17}}{-2}\)
Apply the fraction rule: \(\frac{-a}{-b}=\frac{a}{b}\)
i.e. \(-7+\sqrt{17}=-\left(7-\sqrt{17}\right)\)
so
\(=\frac{7-\sqrt{17}}{2}\)
Similarly solving
\(x_2=\frac{-7-\sqrt{17}}{2\left(-1\right)}\)
\(=\frac{-7-\sqrt{17}}{-2\cdot \:1}\)
Apply the fraction rule: \(\frac{-a}{-b}=\frac{a}{b}\)
i.e. \(-7-\sqrt{17}=-\left(7+ \sqrt{17}\right)\)
\(=\frac{7+\sqrt{17}}{2}\)
Therefore, the solutions are:
\(x=\frac{7-\sqrt{17}}{2},\:x=\frac{7+\sqrt{17}}{2}\)
True or false? the interval [1,2] contains exactly two numbers - the numbers 1 and 2.
The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.
How to write and represent an interval?An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.
Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).
If the interval is within a square bracket, then the end values are included in the set of values.If the interval is within parenthesis, then the end values are not included in the set of values.The square brackets represent the inequalities - 'greater than or equal or 'less than or equalThe parenthesis represents the inequalities - 'greater than' or 'less thanFinding true or false:The given interval is [1, 2]
The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'
The given statement is 'false'.
This is beacuse, an interval consists set of all the real values in between the two values given.
So, according to the definition, there are not only the end values but also many real values in between them.
Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.
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the vertices of a polygon are (1,2) (1,6) (7,6) (7,2) (5,0) (3,0) graph the polygon then find its area
Answer:
32 square units
Step-by-step explanation:
You want the area of a polygon with the vertices (1,2) (1,6) (7,6) (7,2) (5,0) (3,0).
CompositionThe graphed figure can be decomposed into a rectangle 4 units high and 6 units wide, together with a trapezoid with bases 6 and 2, and height 2.
FormulasThe area formulas for these parts are ...
A = HW . . . . area of a rectangle of height H and width W
A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h
ApplicationThe rectangle area is ...
A = (4)(6) = 24
The trapezoid area is ...
A = 1/2(6+2)(2) = 8
So, the total area of the polygon is ...
A = 24 +8 = 32 . . . . square units.
The area of the polygon is 32 square units.
A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 12400 kilograms have already been loaded into the container. Which inequality can be used to determine x, the greatest number of
120-kilogram crates that can be loaded onto the shipping container?
Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is 8000 + 120C <= 27500
What is inequality?An inequality is a relationship that allows us to contrast two or more mathematical expressions.
Knowing that;
Each carton weighs 120 kg.
The container's maximum weight when loaded is 27500 kg.
Weight of the container as it is currently loaded: 8000 kg
Now that we have merged, we have;
Solution
because 8000 grams have already been loaded kilograms
into the container
each crate weighs 120 kilograms.
so 8000 + 120C <= 27500
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Determine whether the statement is true or false. The equation y' = x + y + 1 is separable.
The equation y' = x + y + 1 is not seperable. Therefore the statement is false.
What do you mean by an ordinary differential equation?In mathematics, an ordinary differential equation (also known as an ODE) is an equation made up of one or more functions of a single independent variable and its derivatives. A function having one or more derivatives is a component of a differential equation.
Where are ordinary differential equations used?Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.
If you can express a differential equation as y′=f(x)g(y), where f(x) is only a function of x and g(y) is only a function of y, then the problem is separable. Here, it is not the situation.
But we are not limited to solving separable differential equations. We frequently use integrating factors to solve linear first-order differential equations, such as this one. Using the product rule, multiply your differential equation by an integrating factor—in this example, e—and you get (eyy)′=eyy+eyy′=eyx,
which you may integrate to get your differential equation's solution. Finding integrating factors for generic linear first-order differential equations of the type y′+p(x)y=q may be done in a general way (x).
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[56-4²(2)] ÷ (-3)
show work plz
Answer:
Answer is - 8
Omg too tough question..
can yall help me or not?
Answer
desktop for 1st because it sold less computers and made more money.
for 2nd laptops 1.53 and computer 4.34
Step-by-step explanation:
10* 4/25 as a fraction in simplest form
Answer: I think it would still be 4/25. If not I am really sorry.
Step-by-step explanation: