B. A secant line can intersect a circle at three points
Since in the case of a circle, a secant line intersects the circle at exactly two points (not three points). So this statement is untrue.
Write an equation in slope-intercept form for the following line:
(-14,1) and (13,-2)
Answer:
\( \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }\)
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
\( \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }\)
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
\( \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }\)
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
\( \large \boxed{y = mx + b}\)
We already know m-value as we substitute it.
\( \large{y = - \frac{1}{9} x + b}\)
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
\( \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}\)
Finally, we know b-value. Then we substitute it in our equation.
\( \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }\)
base salary 42000; total sales 175000; commission 4%
The total amount that the person with base salary 42000; total sales 175000; commission 4% gets is $51000.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. In this case, the percentage of commission is given as 4%.
The commission will be:
= Percentage × Amount
= 4% × 175000
= 7000
Therefore, the total amount that the person gets will be:
= Salary + Commission
= 42000 + 7000
= $51000
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Vladimir buys 1.20 pounds of Skittles, 312 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and the pretzels cost $1.10 a pound, how much did Vladimir spend?
Answer: 10.90
Step-by-step explanation:
5.18 for candy and 5.72 for pretzels
1.20 + 3.12 = 4.32
4.32 x 1.20 = 5.18
5.2 x 1.10 = 5.72
5.18 + 5.72 = 10.90
hope this helps
plz mark brainleist
I NEED HELP!!!! I DONT UNDERSTAND WHAT TO DO SO IF YOU COULD SOLVE IT FOR ME THAT WOULD BE GREAT!!! THXXXX
The measure of the angles are:
∠1 = 90
∠2 = 90
∠3 = 132
We have,
The angle between the tangent and the radius of a circle is 90.
So,
∠1 = 90
∠2 = 90
And,
48 + 90 + 90 + ∠3 = 360 ______(1)
Solve for ∠3 from (1).
48 + 90 + 90 + ∠3 = 360
48 + 180 + ∠3 = 360
∠3 = 360 - 228
∠3 = 132
Thus,
The measure of the angles are:
∠1 = 90
∠2 = 90
∠3 = 132
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Please help with this problem.
ANSWER :
EXPLANATION :
Find the mean 9,1,8,3,2,1 graphically.
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
You start saving $250 a month for the next 22 years to give as a gift to your daughter when she graduates college. If you put the money into a long-term savings account that receives 3.5% interest, how much money will you be able to gift to your daughter?
Account Balance after 22 years =
If you had saved the money by stuffing it in your mattress (no interest), how much would you have saved in the 22 years instead?
Account total without interest =
How much extra money will you earn by saving it in the account (total interest)?
Total Interest =
As a result of answering the given question, we may state that As a expressions result, the account balance after 22 years at a 3.5% interest rate is $91,904.27.
what is expression ?In mathematics, an expression is a set of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that expresses a quantity or value. Expressions might be simple, like "3 + 4", or complex, like . They may also include functions such as "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and carrying out the mathematical operations in the given order. For instance, if x = 2, the formula In mathematics, expressions are widely used to explain real-world situations, build equations, and simplify complex mathematical issues.
We may use the compound interest formula to get the account amount after 22 years with a 3.5% interest rate:
\(A = P(1 + r/n)^(nt) (nt)\)
where A represents the account value after 22 years, P represents the initial deposit, r represents the interest rate, n represents the number of times the interest is compounded per year, and t is the time period in years.
In this scenario, P = $250, r = 0.035, n = 12 (monthly compounded), and t = 22. When we enter these values into the formula, we get:
\(A = 250(1 + 0.035/12)^(12*22)\s= $91,904.27\)
As a result, the account balance after 22 years at a 3.5% interest rate is $91,904.27.
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Sally bought 1.4 kilograms of bananas for AED 7.35 $ a kilo. How many kilograms
of apples sold at 10.20 $ per kilogram should you buy so that the kilogram of fruit
costs 8.15 $
You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.
Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.
The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:
Cost of bananas = AED 7.35 * 1.4 = AED 10.29
The total cost of apples is given by the equation:
Cost of apples = $10.20 * x
The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:
Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15
Substituting the known values, we have:
(10.29 + 10.20 * x) / (1.4 + x) = 8.15
Cross-multiplying and simplifying, we get:
10.29 + 10.20 * x = 8.15 * (1.4 + x)
Expanding the equation, we have:
10.29 + 10.20 * x = 11.41 + 8.15 * x
Rearranging the equation, we get:
10.20 * x - 8.15 * x = 11.41 - 10.29
1.05 * x = 1.12
Dividing both sides by 1.05, we find:
x = 1.12 / 1.05
x ≈ 1.067
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Is x-1
a factor of
x^5-3x^4-2x^3-5x^2+5x+12?
Correct The remainder when you divide is
The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8
What is the remainder theorem?The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point
The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;
f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8
The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8
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Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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Help pleasee need asap ill give you brainly things
The Williams are buying a house that costs $349,863 and need to 25% of the price for a down payment. How much money do they need for their down payment?
Step-by-step explanation:
In most cases, you'll need a down payment of 20% – 25% to qualify. If you have a credit score that's higher than 720, you may qualify for an investment property loan with 15% down. FHA loan: You cannot use an FHA loan to buy an investment property.
In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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Solve for yyy.
6=2(y+2)
y=
ILL GIVE U BRAINLIEST RIGHT ANSWERS ONLY Which statement is true?
Answer:
A.
Step-by-step explanation:
Suppose 96% of students chose to study Spanish their freshman year, and that meant that there were 504 such students. How many students chose not to take Spanish their freshman year?
Answer: pls mark brainliest
20.24 students
96 percent of 506 is 485.76
506 - 485.76 = 20.24
A rectangular vegetable garden has a perimeter of 76 ft. The length of the garden is 20 ft. What is the width of the garden?
The formula of the perimeter of a rectangle is
\(P=2l+2w\)where l and w are the length and width of the rectangle, respectively.
In our case,
\(A=76,l=20\)Thus,
\(\begin{gathered} \Rightarrow76=2w+2(20) \\ \Rightarrow76-40=2w \\ \Rightarrow w=\frac{36}{2}=18 \\ \Rightarrow w=18 \end{gathered}\)The width of the garden is 18ft
a building has 18 stories each story has a floor that measures 54 feet by 48 feet what is the area of the floors in the building
Answer:
The area of the floors in the building is 46,656.
Step-by-step explanation:
To find the area of one floor, you simply multiply 54 by 48. When you do that, you get 2,592. This is the area of one floor. To find the area of 18 floors, you multiply 2,592 by 18 and that will give you the area of all 18 floors. 2,592*18 = 46,656. Hope this helps!
The perimeter of a triangle is 45 feet. One side of the triangle is one foot longer than the second side. The third side is two feet longer than the second side.
Answer:
Am sorry you have not given a specific question but I have given you the values of all the three sides of the triangle in the photo above
19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Answer:
Step-by-step explanation:
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Use the given property of equality to complete the given statement. If a + 5 = b + 3 and a + 5 = 12, then b + 3 = ______________ (Transitive Property of Equality)
Answer:
b+3=9+3
a+5=12
a+5=b+3
12-3=9
A woman bought S shirts at $20 each and J jerseys at $ 15 each at a total Cost of $ 155. if however she had bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190. Evaluate S and J.
After solving the set of linear equation so formed, we conclude that value of "S" and "J" is 4 and 5 respectively.
As per the question statement, A woman bought "S" shirts at $20 each and "J" jerseys at $ 15 each at a total Cost of $ 155. However, the total cost would have been $190 if she had purchased half as many shirts and twice as many jerseys. We are supposed to find the value of "S" and "J"
Let us first form the set of linear equation so formed.
Cost of one shirt = $20
Cost of "S" shirts = $20 x S = 20S
Cost of one jersey = $15
Cost of "J" jerseys = $15 x J = 15J
Total cost = $155
20S + 15J = 155 is our first linear equation obtained.
Now if however she bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190 and the equation formed will be :
20(S/2) + 15(2*J) = 190
or 10S + 30J = 190, is our second equation
This question is a classic example of forming a set of linear equation in two variable out of any given statement.
Solving the two sets of equation we get, S = 4 and J = 5
Linear equation: An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation and if it is equation in two variables then both the variables will have linear power or power 1.To learn more about linear equation, click on the link given below:
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2(x+8)=2x-8 true or false
The elevation of a city is positive if the city is above sea level and negative if below sea level.The elevation of New Orleans is -0.3 m.What does an elevation of -0.3 m represent in this situation?
If the elevation of New Orleans is -0.3m, then it is below sea level.
This is because it is a negative number and any
Comparing the stages in a consumer and organizational purchase decision process reveals key differences. In organizations, becomes more important for deadlines and quality control, and since a long-term relationship is anticipated. Multiple Choice O purchase decision O choice variety O supplier audit O performance review O supplier capability
In organizations, supplier audit becomes more important for deadlines and quality control, and since a long-term relationship is anticipated. Hence, the correct answer is option c.
In the organizational purchase decision process, a supplier audit becomes more important compared to the consumer purchase decision process. This is because organizations need to ensure that the supplier they choose meets their standards for quality, reliability, and cost-effectiveness.
The supplier audit helps the organization to evaluate the supplier's capabilities and assess their ability to deliver on their promises.
Furthermore, since organizations often have deadlines and need to maintain quality control, a supplier audit is important for ensuring that the supplier is able to deliver the goods or services on time and to the required standard.
Since organizations anticipate a long-term relationship with their suppliers, a supplier audit helps to build trust and ensure that the supplier will be able to meet their needs for the long term.
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Can someone explain this to me? Pls
Step-by-step explanation:
In Triangle (the symbolΔ)QRS,
Angle R is congruent to Angle Q,
And side QR=11
And side SQ=8
Find.The length of RS.
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!
Answer:
A.36 inches B.150 inches
Step-by-step explanation:
multaply 9×4 for A and 10×15 forB
a. it calculates the return values for the class b. it invokes all the class methods in order c. it is a method used when instantiating an object d. it is defined in the client code for the class e. it provides access to methods and instance variables
The right answer is C. It is a technique applied when creating an object.
When an object is generated from a class in object-oriented programming, a constructor, a particular method, is called. It is in charge of initializing the object and establishing its starting state. Typically, constructors are specified in the class specification and called when an object is created with the new keyword. They are used to create and initialize objects of that class and share the same name as the class.
In the event that a constructor's arguments include default values, it is possible to call it without any arguments. Additionally, a class may have many constructors with various amounts or kinds of parameters due to overloading, which allows for this.
Option A is erroneous since a constructor does not figure out the class's return values. Because a constructor does not call each of the class methods sequentially, option B is incorrect. Option D is erroneous since the class definition, not the client code, contains the definition of a constructor. Because a constructor gives access to methods and instance variables, Option E is valid, but it's not the only one.
The complete question is:-
Which statement is true about a constructor?
A. It calculates the return values for the class
B. It invokes all the class methods in order
C. It is a method used when instantiating an object
D. It is defined in the client code for the class
E. It provides access to methods and instance variables
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An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
Log Flume
50
46
48
44
Answer:
hello your question has some missing part and the table as it relates better to the question
set up the ANOVA table ( to 1 decimal if necessary )
Step-by-step explanation:
attached below is the image of the Analysis of variance using Minitab software
Attached below as well is the Require Anova table
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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