1. If the intersection of two lines is a point, then they intersect. = Converse
2. If two lines do not intersect, then their intersection is not one point. = Inverse
3. If the intersection of two lines is not one point, then the two lines do not intersect. = Contrapositive
I did the assignment already, it's correct.
The conditional statement 'If two lines intersect, then their intersection is one point' is matched with three possible related statements.
The conditional statement 'If two lines intersect, then their intersection is one point' can be matched with the following:
If the intersection of two lines is a point, then they intersect
If two lines do not intersect, then their intersection is not one point
If the intersection of two lines is not one point, then the two lines do not intersect
Explanation:
This question is about conditional statements related to the geometric properties of lines. The given statement is that if two lines intersect, their intersection is exactly one point. Statement 1 is the converse, meaning if their intersection is a point, then the lines must intersect. Statement 2 is the contrapositive, asserting that if two lines do not intersect, they can't have a single intersection point. Statement 3 reason that if the intersection is not exactly one point, then they do not intersect at all.
Two bags contain marbels. Bag A conatains 112 marbles, and bag B contains 140 marbles. What percent fewer marbles does Bag A have than bag B
Tim is buying packages of paper plates & cups. He wants to have equal amounts of each, but plates come in 24 per pack and cups come in 16 per pack. What is the least amount of plates & cups Tim will buy to get the same number of each ? A. 8 B. 16 C. 24 D. 48
Please help, I would appreciate it!!
Two Angles are Supplementary when they add up to 180°.
m∠2 + m∠1 = 180° (*)
If ∠1 ≅ ∠3, then m∠1 = m∠3.
Substitute to the (*)
m∠2 + m∠3 = 180°
Therefore ∠2 and ∠3 are supplementary.
Find the equation of a line given two points P1(?4, 8), P2(?4, ?7)
Using the distance formula, it equals sqrt(1)
Each employee can essemble 28 castles per hour. How many employees worked each hour? (What is the answer to this?)
Over the weekend koko spend a total of 16 hours working on school work she spent equal amounts of time working on 4 projects plus 2 hours working on her language arts homework how much time did she spend on each project
Kendall is buying a home for 119,000 she is making a 12% down payment and financing the rest with 20-year loan at 4.5% interest what is her monthly mortgage payment ?
662.46 is your answer
The required Kendall's monthly mortgage payment is $662.14.
What is interest?Simple interest is defined as the percentage of earnings on the lending for a period of time.
Here,
Kendall's down payment is 12% of $119,000, which is:
0.12 * $119,000 = $14,280
So the amount she is financing is:
$119,000 - $14,280 = $104,720
To calculate her monthly mortgage payment, we can use the formula for a fixed-payment loan:
[tex]M = P * (r / (1 - (1 + r)^{-n}))[/tex]
First, we need to calculate the monthly interest rate. The annual interest rate is 4.5%, so the monthly interest rate is:
4.5% / 12 = 0.375%
Next, we need to calculate the total number of monthly payments. Kendall has a 20-year loan, which is:
20 years * 12 months/year = 240 months
Now we can plug in the values and solve for M:
[tex]M = $104,720 * (0.00375 / (1 - (1 + 0.00375)^{-240}))[/tex]
M = $662.14
So Kendall's monthly mortgage payment is $662.14.
Learn more about interest here:
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If eight trash bags last for thirty days then how many trash bags do you need for 180 days
Set up the proportion. Then cross multiply and isolate the variable to solve.
[tex]\frac{8(trash bags)}{30 (days)} = \frac{x (trash bags)}{180 (days)}[/tex]
8(180)= 30(x)
[tex]\frac{8(180)}{30} = \frac{30x}{30}[/tex]
8(6) = x
48 = x
Answer: 48 trash bags
A rectangular prism has dimensions of x + 1, x - 1, and x. Write an expression for the total volume of the prism.
We have been given the dimensions of the rectangular prism.
Lets say that the length, width, and height of the rectangular prism are:
Length [tex]= x+1[/tex]
Width [tex]=x-1[/tex]
Height[tex]=x[/tex]
Volume of a rectangular prism is given by:
[tex]length \times width\times height[/tex]
Plugging the values of length, width, and height, we get:
Total volume of the prism [tex]= (x+1)\times(x-1)\times x[/tex]
[tex]=(x^2-1)x=x^3-x[/tex] (we have used [tex](a+b)\times (a-b)=a^2-b^2[/tex])
So, the expression for the total volume of the prism is:
[tex](x^3-x)[/tex]
What is the unemployment rate of this economy?
6.5%
9.3%
13.6%
15.7%
The unemployment rate is calculated as the number of unemployed divided by the labor force, resulting in approximately 9.6%, which is the closest to 9.3% as listed. It is higher than the historical average and the February 2015 rate.
Explanation:The unemployment rate of an economy is calculated by taking the number of unemployed persons and dividing it by the total labor force, and then multiplying the result by 100 to get a percentage.
In this case, using the given figures, the unemployment rate is calculated as follows: 14.8 (unemployed) / 153.9 (labor force) = approximately 9.6%.
This indicates that the correct answer is not explicitly listed, but the closest answer given is 9.3%, which seems to be a typo.
Furthermore, this current unemployment rate is significantly higher than the February 2015 rate of 5.5% and above the historical average unemployment rate, which tends to range between 4% to 6% over time, according to Federal Reserve Economic Data.
Find all points on the x-axis that are 14 units from the point (3,-7).
Answer:
(3±√147, 0) ≈ (-9.124, 0) and (15.124, 0)
Step-by-step explanation:
The points (x, 0) satisfy the distance formula:
d = 14 = √((x -3)² +(0+7)²)
196 = (x -3)² +49 . . . . . square both sides
147 = (x -3)² . . . . . . . . . subtract 49
3 ±√147 = x . . . . . . . . . take the square root and add 3
The points at distance 14 from (3, -7) on the x-axis are (3±√147, 0).
Use the graph of the parent function f(x)=√x, to describe the transformation for the graph of g(x)=√x-5
Answer : C
[tex]f(x)= \sqrt{x}[/tex]
[tex]g(x)= \sqrt{x-5}[/tex]
Parent function is f(x). In g(x) 5 is subtracted from x
If any number is added or subtracted from x, then we move left or right
When a number 'a' is added with x then we shift 'a' units to the left
When a number 'a' is subtracted from x then we shift 'a' units to the right
f(x) is our parent function. Here 5 is subtracted from x to get g(x)
For -5, the graph of g(x) is the graph of f(x) shifted right 5 units
the first answer would be C
the next 3 questions are ACB
a card is chosen from a standard deck of cards. what is the probability that the card is a queen, given that the card is a club?
Answer:
Probability that card is queen given that card is club is [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
Given : A card is chosen from a standard deck of cards.
To find : What is the probability that the card is a queen, given that the card is a club?
Solution : It is the conditional probability
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
Let A is probability that card is queen.
Let B is the probability that card is a club.
Probability that card is queen given card is club [tex]P(A\cap B)=\frac{4}{52}=\frac{1}{13}[/tex]
Probability that card is club from deck of 52 cards [tex]P(B)=\frac{13}{52}=\frac{1}{4}[/tex]
To find probability that card is queen given that card is club [tex]P(A|B)[/tex]
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
[tex]P(A|B)=\frac{\frac{1}{13}}{\frac{1}{4}}[/tex]
[tex]P(A|B)=\frac{1\times4}{13\times 1}=\frac{4}{13}[/tex]
Therefore, Option A is correct.
Probability that card is queen given that card is club is [tex]\frac{4}{13}[/tex]
Answer:
the correct answer was 1/13
Step-by-step explanation:
i took my test and put 4/13 which was wrong and said that 1/13 is the right answer
What are the place values of the 6,s in 8,462,412,104
im terrible with graphs help me out...but explain it cuz im a math inclined typa person sooo.......idek just help i guess?
Answer:
14. The correct option is 2.
13. The correct option is 4.
Step-by-step explanation:
14.
The given function is
[tex]f(x)=4|x|[/tex]
The function is non-negative for all values of x. So, the function opens in upward direction.
The function uis in the form of
[tex]f(x)=k|x|[/tex]
Where, a is vertical stretch factor or compress factor.
If k>1, then it represent vertical stretch and if 0<k<1, then it represent vertical compression.
Since the value of k is 4, therefore it represents vertical stretch and option 2 is correct.
13.
The given function is
[tex]y=x^3[/tex]
The traslate form of given function is
[tex]y=(x+a)^3+b[/tex]
Where, a represents the horizontal shift and b represents the vertical shift.
If a>0, then the graph shifts left side by a units and if a<0, then the graph shifts right side by a units.
If b>0, then the graph shifts upward by b units and if b<0, then the graph shifts downward by b units.
Since the graph shifts vertically 5 units down and horizontally 4 units left, therefore the value of a is 4 and value of b is -5. The required equation is
[tex]y=(x+4)^3-5[/tex]
Therefore option 4 is correct.
The triangle shown below must be congruent
True or false
That would be FALSE
They have the same angles, so they're similar triangles. For them to be congruent, the corresponding sides must have equal length. Here we have two sides of length 7, but they're not corresponding sides. If on the second triangle the 7 was the length of the side between the 60 and 62 degree vertices then we'd have equal corresponding sides and congruent triangles.
Answer: no
Step-by-step explanation: this answer would be FALSEEE
A dolphin is swimming with her friend. The dolphin jumps to a height of 4.54.54, point, 5 meters above the surface of the water as her friend swims 9.89.89, point, 8 meters directly below her. What is the position of the dolphin's friend relative to the surface of the water?
The dolphin's friend is 8.63 meters below the surface of the water relative to the dolphin's jumping point.
Explanation:To solve this problem, we can use the kinematic equation that relates initial velocity, final velocity, acceleration, and displacement:
vf² = vi² + 2ad
Knowns:Plug in the knowns: (-13.0 m/s)² = (0 m/s)² + 2(-9.8 m/s²)(d)Simplify and solve for d: d = (169 m²/s²) / (-19.6 m/s²)Calculating: d = -8.63 mThe positive value of d indicates that the dolphin's friend is 8.63 meters below the surface of the water relative to the dolphin's jumping point.
The dolphin's friend is 5.3 meters below the surface of the water.
Let's reassess the problem with the given constraints more carefully.
We need to find the position of the dolphin's friend relative to the surface of the water.
1. Dolphin's height above the water:
[tex]\[ 4.5 \text{ meters above the surface} \][/tex]
2. Distance between the dolphin and her friend:
[tex]\[ 9.8 \text{ meters below the dolphin} \][/tex]
Since the friend is swimming below the dolphin, we need to subtract this distance from the height of the dolphin above the surface to find the position of the friend relative to the water surface.
3. Calculate the position of the dolphin's friend:
[tex]\[ \text{Position of friend} = 4.5 \text{ meters} - 9.8 \text{ meters} \][/tex]
[tex]\[ \text{Position of friend} = -5.3 \text{ meters} \][/tex]
This means the dolphin's friend is 5.3 meters below the surface of the water.
You work 1.15 hours on your English Homework and 1.75 hours in your math homework. Your science homework takes 1.05 hours less than your math homework. How many more hours do you work on your homework? The answer is 4 but it's saying it's wrong
Answer:
Total time taken for doing home work = 3.6 hours.
Explanation:
Time taken for English home work = 1.15 hours.
Time taken for Mathematics home work = 1.75 hours.
Time taken for Science home work = Time taken for Mathematics home work - 1.05 hours = 1.75 - 1.05 = 0.7 hours
Total time taken for doing home work = 1.15 + 1.75 + 0.7 = 3.6 hours.
So the answer is not 4 hours, it is 3.6 hours, that is why it is showing it as wrong.
Justin purchased a 20 pound pumpkin for$9.80. How much did he pay per pound
Which pair is the gcf of 1, 30 and 70, 24 and 44, 12 and 30, and 16 and 21
The GCF is 1.
Explanation:
1 has: 1 (LOL)
12 has: 1,2,3,4,6,12
16 has: 1,2,4,8,16
21 has: 1,3,7,21
24 has: 1, 2, 3, 4, 6, 8, 12, 24
30 has: 1, 2, 3, 5, 6, 10, 15, 30
44 has: 1, 2, 4, 11, 22, 44
70 has: 1, 2, 5, 7, 10, 14, 35, 70
So therefore, The GCF is 1
Hope this helps!
-Queenb369
P.S Could you possible give me the brainlist if i get it right.
The graph of g(x) is obtained by reflecting the graph of f(x)=4|x| over the x-axis.
Which equation describes g(x)?
A) g(x)=|x−4|
B) g(x)=|x+4|
C) g(x)=−4|x|
D) g(x)=|x|−4
That would be choice C.
The graph of 4|x| is shaped like a V whose vertex is at the origin.
Every y value will be positive for y = 4|x| as |x| is always positive and a reflection in the x axis will make every y value negative.
Through moving up c units, the graphs of g can be determined from the graph of f. If we subtract c from f(x), the graph shifts downward. Let [tex]\bold{ h(x) = f(x) - c}[/tex]. Shifting downward c units yields this graph of h from the graph of f.
Given:
[tex]\bold{f(x)=4|x|}[/tex]
Calculation:
It is stated that its graph of [tex]g(x)[/tex] is obtained by reflecting a graph of [tex]f(x)=4|x|[/tex] over the x-axis.When a figure is reflected across the x-axis, the rule for reflection is [tex]\bold{(x,y) \to (x,-y)}[/tex].To use the preceding logic, if the given function is reflected from across the x-axis, then [tex]g(x)=-f (x)[/tex].[tex]\bold{g(x)=-(4|x|)}\\\\\bold{g(x)=-4|x|}\\\\[/tex]
So, the equation [tex]g(x)=-4|x|[/tex] describes [tex]g(x)[/tex].
Therefore, the final choice is "Option C".
Learn more:
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Factor the difference of two cubes completely.
x^3-64
can anyone verify this for me?
[tex]x^3-4^3 = (x-4)(x^2+4x+16)=(x-4)(x+4)(x+4)[/tex]
Amy wants to carpet a room that is 12 feet by 8 feet.How many square yards of carpet will she need to complete the room?
96 square yards would complete the room
what else would need to be congruent to show that abc def by aas
The answer is A=D apex
Answer:
It's the first one, I just literally got done taking the test it was my last question anyways.
The perimeter of a given parallelogram is 46 inches. If the length of one side is 14 inches , what is the length of a side adjacent to it ??
Perimeter = 2*14 + 2x where x is length of the adjacent side
46 = 28 + 2x
2x = 18
x = 9 inches Answer
Find two consecutive positive odd no. Such tht the sum of thier squares is equal to 130
7 squared is 49, and 9 squared is 81. 49+81=130 7,9 are your answers
Vector's map has the scale missing. He knows that the distance from the lake to the youth center is 8 miles. On the map, they are 2 inches apart. What is the scale for vector's map
How many points are collinear with points C and D
Only point U.
Therefore your answer is ONE.
Answer:
B) One
Step-by-step explanation:
If the points are collinear, then they lie on the same line.
Here U is lie on the same line where C and D points lie.
Therefore, answer is B) One.
Hope this will helpful.
Thank you.
If f(x) = 3x-2 what is the value of 5
A. 9
B. 13
C. 15
D. 33
B
Assuming you mean the value of f(5)
If so then substitute x = 5 into f(x)
f(5) = (3 × 5) - 2 = 15 - 2 = 13 → B
30 points! How do I factor 6x^2+x-15
Using the Grid Box Method?
Thank you! Thanks for helping - that was all of my factoring problems! :D ^.^ Most educational sites explain the factoring methods well, but in a very confusing way! :'3 Thank you so much again; have an awesome day! :)
Now for this you would have to think what two numbers multiplied to get 6x^2. Let's say for example 3x and 2x=6x^2
And now what two numbers multiplied together make -15, For example it can be 5 and -3
Now your ANSWER: (3x+5)(2x-3)