Are all intersecting lines perpendicular? Draw a picture to help explain your answer
Not all intersecting lines are perpendicular.
What are perpendicular lines?Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.
Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.
As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.
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Easton went to a concert with some of his friends. The tickets cost $29.50 each,
and they spent a total of $15 on parking. The total amount spent was $133.
Write an equation that can be used to determine how many people, p, went to the
concert?
Answer:
29.50p+15=133
Step-by-step explanation:
29.50 per person or 29.50p
15 total for parking and add together
What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1
For a certain company, the cost function for producing x items is C(x)=50x+250 and the revenue function for selling x items is R(x)=−0.5(x−110)2+6,050 . The maximum capacity of the company is 150 items.
The company sells all that it produces, the profit function is:-0.5x2+60x-250.
Profit functionP(x)= R(x)-C(x)
=-0.5(x-110)2 +6050-(50x+250)
Let Distribute Negative Sign
P(x)= -0.5(x-110)2 + 6050 +-1(50x+250)
P(x)= -0.5(x-110)2 + 6050 +-1(50x) + (-1) (250)
P(x)= -0.5(X-110)2 +6050 +-50x + -250
Distribute P(x)= -0.5x2+110x+-6050+6050+-50x+-250
Combine Like Terms
P(x)= -0.5x2 +110x+-6050+6050+-50x+-250
P(x)=(-0.5x2) + (110x+-50x) + (-6050+6050+-250)
P(x)= -0.5x2+60x-250
Therefore the company sells all that it produces, the profit function is:-0.5x2+60x-250.
The missing requirement is:
Assuming that the company sells all that it produces, what is the profit function?
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The equation y = 10x + 15 models the amount of money y, in dollars, that Jack earns shoveling snow for x hours. How many hours does Jack need to work to earn $55?
What multiplication expression is equal to 3/4 divided by 2/5
Answer:
3 * 5
4 2
Step-by-step explanation:
To convert division problems with fraction into multiplication problems use the KCF rule
Keep the 1st Fraction the same
Change the division sign to a multiplication sign
Flip the fraction (reciprocal)
help pleaseeee my sister needs help and i dnt get this
Answer:
48 ft
Step-by-step explanation:
what are ratios are equivalent to 2:9
Answer:
4:18 8:36 1:4.5
Step-by-step explanation:
Answer:
4:18, 6:27, 8:36, 10:45, 12:54, etc.
Step-by-step explanation:
John is painting parallel lines in the parking lot to create parking spaces. The measure of angle A is 60°. What is the measure of angle B? A. 60° B. 90° C. 120° D. 180° E. any acute angle
Answer:60°
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....
Answer:
A.
60°
Hope its right.
Step-by-step explanation:
Shown below is a wooden six-sided (hexagon) frame. Which of
the following best approximates the slopes of the six line
segments?
O The slopes are approximately -1.4, 0, and 1.4.
O The slopes are approximately -1.7, 0, and 1.7.
O The slopes are approximately -1.8, 1, and 1.4.
O The slopes are approximately -1.7,0, and 1.4
The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.
How to find the slope between two coordinates?The formula to find the slope between two coordinates is expressed as:
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of each line above the x-axis are:
Slope 1 = (5 - 0)/(5 - 8)
Slope 1 = -1.7
Slope 2 = (5 - 5)/(5 - (-2))
Slope 2 = 0
Slope 3 = (5 - 0)/(-2 - (-5))
Slope 3 = 5/3 = 1.7
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Points x and y and points C,D,E and f are shown what is true about points
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
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The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
A boy is thrice as old as his younger sister. If the boy is 18years, how old is his sister?
Answer:
9 because 18 divided by 2 is 9
A friend of yours is new to statistics and wants to find the middle of their data. They know something about the median and mean being those middles, but doesn't know which to use and when. Help your friend by explaining to them:
What is the median
What is the mean
In which situations should use the median instead of the mean.
Any other helpful tips you may think about when it comes to Measures of Central Tendency
I think it helps to look at an example.
Let's say we had the set {1,2,3,4,55}
The median is the middle most number. In this case it would be 3. There are the same number of values on either side of 3.
The mean is found by adding up the numbers and then dividing by 5 (which is the number of values). The mean is (1+2+3+4+55)/5 = 13
Notice that the median (3) is much closer to the main cluster {1,2,3,4}; whereas the mean (13) is trying its best to be somewhere between that main cluster and the outlier of 55. The mean is pulled by the outlier as if it was a gravitational or magnetic pull.
As such, the mean is a bad measure of center when outliers are present. The larger the outlier, the worse the representation. This is why home prices for instance rely on the median. Multi-million dollar mansions greatly skew the mean housing price to be (much) larger than it should be.
If there aren't any outliers, then the mean is a better measure of center because it involves each item weighing in.
Answer:
Ask your math teacher, he's a nice guy and would like to help you.
Step-by-step explanation:
-Find his email on course home page
-Compose new email
- Ask your question or come to a help session
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
laura opened a savings account with an initial of $200. Each month she adds $50 to the account. Write an equation that would model this situation.
Answer:
200+50x
Step-by-step explanation:
SOEMEONE AWNSEER BRU.Reggie wants to conduct a survey of the opinions of the customers in the pizzeria. Which survey sample would give the most accurate results?
Ask every third child in the restaurant Ask each server in the pizzeria.
Ask the manager every shift.
Ask Random customers as they enter the pizzeria.
Ask each server in the pizzeria.
We can conclude by answering the provided question that We get a equation sample size of 579 people by rounding up to the closest whole number. To be 90% sure that the sample percentage is within 1.5
What is equation?An equation in mathematics is a declaration that states the equivalence of two expressions. An equation is made up of two parts that are separated by a mathematical equation (=). For example, the argument "2x + 3 = 9" asserts that the sentence "2x + 3" equals the number "9." The objective of equation solution is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more variables. The variable x is elevated to the second degree in the equation "x2 + 2x - 3 = 0." Lines are used in many different areas of mathematics, such as algebra, calculus, and geometry.
To calculate the sample number required for this poll, use the following formula:
\(n=(Z^{2} *P*Q/E^{2}\)
\(n=(1.645^{2} *0.5*0.5)/0.015^{2} a578.98\)
We get a sample size of 579 people by rounding up to the closest whole number. To be 90% sure that the sample percentage is within 1.5 percentage points of the actual population percentage, we would need to poll at least 579 randomly chosen air passengers.
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Make A the subject..............................................
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
What number decreased by 40 is 5 times that number?
Answer:
-10
Step-by-step explanation:
Let the number be x
x - 40 = 5x
⇒ -40 = 5x - x
⇒ 4x = -40
⇒ x = -40/4
⇒ x = -10
Answer:
-10
Step-by-step explanation:
Let the number be x
x - 40 = 5x
4x = -40
x = -10
Which statement best describes the relationship between the graphs of the two linear equations below?
3
y=-2 +4
2
3x - 2y = -8
The lines are
parallel
5
The lines intersect
and are
perpendicular
The lines intersect
and are not
perpendicular
The lines are the
same
Answer:
Step-by-step explanation:
6
I need help with this problem
Three boxes are shipped on a truck. Each box has a base of 16 sq feet. Two boxes have a height of 3 feet and one box has a height of 5 feet. What is the total, volume, in cubic feet, of the three boxes?
Answer:
The total volume, in cubic feet, of the three boxes is 144 cubic feet.
Chain of thought:
1. Volume = base x height
2. Box 1: Volume = 16 sq feet x 3 feet = 48 cubic feet
3. Box 2: Volume = 16 sq feet x 3 feet = 48 cubic feet
4. Box 3: Volume = 16 sq feet x 5 feet = 80 cubic feet
5. Total Volume of three boxes = 48 + 48 + 80 = 144 cubic feet
Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)
UV is a segment Bisector.
What is a segment Bisector?A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.
What is the bisector rule?The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.
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what is the correct procedure when you want to do a test of the population mean but the population standard deviation is unknown? select all that apply.
When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).
(c) Write your answer in a complete sentence.
Solve by completing the square:
x²-10 x=3
To have a perfect square trinomial, the missing number must be 28, so we will get:
(x - 5)² = 0
How to write the equation as a perfect square trinomial?We know that we can complete the expression by completing squares.
x² - 10x + = 3
Remember that a perfect square trinomial is:
(a + b)² = a² + 2ab + b²
Now lets rewrite our expression:
x² - 10x + = 3
x² - 10x + - 3 = 0
We can rewrite this as:
x² - 2*5*x + - 3 = 0
Then we need to add 5^2 = 25 to have a perfect square trinomial, and because there is a subtraction of 3, we will add 28
So we get:
x² - 2*5*x + 28 - 3 = 0
x² - 2*5*x + 25= 0
x² - 2*5*x + (-5(^2 = 0
(x - 5)² = 0
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Circle A has been transformed to Circle B.
What is the scale factor of Circle A to Circle B?
Scale Factor
=
Image Radius
Pre- Image Radius
Answer: 21
Step-by-step explanation: im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah
Answer:
21
Step-by-step explanation:
I did the test
Hope this helps :)
Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help
Answer:
The balance of the account is $64,190.
Step-by-step explanation:
The amount of money after t years of continous compounding is given by the following equation:
\(P(t) = P(0)e^{rt}\)
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
$60,000 deposited for 6 years at 1.125% interest compounded continuously.
This means that \(P = 60000, r = 0.01125, t = 6\)
So
\(P(6) = 60000e^{0.01125*6} = 64190\)
The balance of the account is $64,190.
List the side of triangle DEF in order from shortest to longest
Apply the Angles Sum Property to the triangle DEF,
\(\begin{gathered} \angle D+\angle E+\angle F=180^{\circ} \\ 31^{\circ}+112^{\circ}+\angle F=180^{\circ} \\ 143^{\circ}+\angle F=180^{\circ} \\ \angle F=180^{\circ}-143^{\circ} \\ \angle F=37^{\circ} \end{gathered}\)According to the Sine Rule, the length of side is proportional to the angles measure opposite to it. So the shortest side will be opposite to shortest angle, and the largest side will be opposite to the largest angle.
It is observed that,
\(DThis follows that,\(EFThus, the order of sides from shortest to longest is EF, DE, DF.