Answer: [m and n], and [o and p]
Step-by-step explanation:
The parallel groups of lines are m and n, and the group o and p.
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The sum of 7 and the cube of a number.
The sum of 7 and the cube of a number.
Answer:
Step-by-step explanation:
7 + x³ is the sum of 7 and the cube of a number x
What other information do you need in order to prove the triangles congruent using the SAS
Congruence Postulate?
Note that using the SAS Postulate. in the above-given triangle, the statement "AC is perpendicular to BD." is sufficient to complete the proof.
What is the rationale for the above response?Given a ΔABD. C is the midpoint of BD.
To prove that the two Δs are congruent we have to use the SAS Postulate.
Here consider two Δs ABC and ADC
Statement Reason
1) BC = CD D is the midpoint of BD
2) AC = AC Reflexive property
Since we have two sides of congruence we must have included angle congruence
i.e. Angle ACB = Angle ACD
Since this information is given, then this completes the SAS congruence for the two triangles ABC and ADC
Therefore, the statement AC is perpendicular to BD is sufficient to complete the proof.
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given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. report your vertices starting with the one which has the smallest x-value. if more than one vertex has the same, smallest x-value, start with the one that has the smallest y-value. proceed clockwise from the first vertex. leave any unnecessary answer spaces blank. x+y<5 8x + y >7 x >0 y>0 The feasible region is Unbounded The first vertex is The second vertex is The third vertex is The fourth vertex is
The area on the graph that is not shaded is the region of feasibility. The shape is a triangle and the vertices of the feasible region are: (5,1.5), (.75,.75), (1.5,.5)
The system of inequalities below, We need to determine the shape of the feasible region and find the vertices of the feasible region
x+y<=2
3x+y>=3
x+3y>=3
x>=0
y>=0
Now, we would graph with the following inequalities
x+y>=2
3x+y<=3
x+3y<=3
x<=0
y<=0
Therefore, the area on the graph that is not shaded is the region of feasibility and the shape is a triangle, the vertices of the feasible region are: (5,1.5) (0.75, 0.75), (1.5,.5).
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Solve -2(5x – 3) = 41.
Answer:
Divide both sides by the numeric factor on the left side, then solve.
Exact Form:
x=−7/2
Decimal Form:
x=−3.5
Mixed Number Form:
x=−3 1/2
Step-by-step explanation:
Answer:
- 3.5
Step-by-step explanation:
hope this helps :)
A class with n kids lines up for recess. The order in which the kids line up is random with eachordering being equally likely. There are three kids in the class named John, Betty, and Mary. The useof the word "or" in the description of the events, should be interpreted as the inclusive or. That is"A or B" means thatAis true,Bis true, or bothAandBare true.Give an expression for each of the probabilities below as a function ofn. Simplify your final expressionas much as possible so that your answer does not include any expressions of the form (a/b).Requried:a. What is the probability that Betty is first in line or Mary is last in line? b. Explain the method used to calculate probability.
Answer:
A) P(Betty is first in line and mary is last) = P(B₁) + P(Mₙ) - (P(B₁) × P(Mₙ/B₁))
B) The method used is Relative frequency approach.
Step-by-step explanation:
From the question, we are told a sample of n kids line up for recess.
Now, the order in which they line up is random with each ordering being equally likely. Thus, this means that the probability of each kid to take a position is n(total of kids/positions).
Since we are being asked about 3 kids from the class, let's assign a letter to each kid:
J: John
B: Betty
M: Mary
A) Now, we want to find the probability that Betty is first in line or Mary is last in line.
In this case, the events are not mutually exclusive, since it's possible that "Betty is first but Mary is not last" or "Mary is last but Betty is not first" or "Betty is the first in line and Mary is last". Thus, there is an intersection between them and the probability is symbolized as;
P(B₁ ∪ Mₙ) = P(B₁) + P (Mₙ) - P(B₁ ∩ Mₙ) = P(B₁) + P(Mₙ) - (P(B₁) × P(Mₙ/B₁))
Where;
The suffix 1 refers to the first position while the suffix n refers to the last position.
Also, P(B₁ ∩ Mₙ) = P(B₁) × P(Mₙ/B₁)
This is because the events "Betty" and "Mary" are not independent since every time a kid takes his place the probability of the next one is affected.
B) The method used is Relative frequency approach.
In this method, the probabilities are usually assigned on the basis of experimentation or historical data.
For example, If A is an event we are considering, and we assume that we have performed the same experiment n times so that n is the number of times A could have occurred.
Also, let n_A be the number of times that A did occur.
Now, the relative frequency would be written as (n_A)/n.
Thus, in this method, we will define P(A) as:
P(A) = lim:n→∞[(n_A)/n]
Given this pair of probabilities, the probability that Mary is the first is n(A) = n-1!, while the probability that Betty is last is n(A) = n-1!
There are n! ways of making this arrangement
We have probability of A: Betty is the first person in this line
Probability of B: Mary is the last person
A U B = p(A) + p(B) - p(A ∩ B)
n(A) = n-1 that is given that Betty is the first person on the line.
then n(A) = n-1!
As the last person on the line P(B) = n-1!
Probability of (A∩B) =( n-2)! this has Mary as the first and Betty as the last person.
Remaining students that would have to be on this line are n-2
Prob(A∪B) = n(A ∪ B)/n!
= 2(n-2)/n(n-1)
What is the probability theory in Mathematics?This is the theory that talks about the chances or the likelihood of an event occuring in a pair of events.
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How many dimes and quarters that adds up to $59.10
Answer:
Quarters- 236 Dimes- 1
Step-by-step explanation:
12 quartes= $3.00
12 quarters= $3.00
12 quarters= $3.00
40 quarters= $10.00
160 quarters= $40.00
$3.00+$3.00+$3.00= $9.00
$10.00+$40.00= $50.00
$50+$9= $59+10 cents= $59.10
12+12+12+40+160= 236 quarters
1 dime= 10 cents
100 points!!! (Look at the photo) don’t send links or I’ll report it.
Answer:
The mean of this weeks temp
The mean of last weeks temp
The range of this weeks temp
Step-by-step explanation:
:)
Answer:
1. The mean of this week's temp
2. The mean of last week's temp
3. The range of this week's temp
Step-by-step explanation:
that is what i think
What is the probability that both events will occur? Two dice are tossed. Event A: the first die is a 5 or 6. Event B: The second die is not a 1
Answer: The probability that both events A and B will occur is 5/18 or 0.28.
Step-by-step explanation:
To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.
Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.
Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.
To find the probability that both events A and B occur, we multiply the probabilities:
Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.
−1 ≤ x/-4 − 3
Solve the inequality. Show all steps.
Answer:
≤ − 8
Step-by-step explanation:
-1 ≤ \(\frac{x}{-4}\) -3
4 ×(-1) ≤ 4 × \(\frac{x}{-4}\) -4×3
-4 × (-1) ≤ -x - 4×3
-4 ≤ -x - 12
x ≤ -12 + 4
x ≤ -8
8x18divided by (16divide8x3)
Answer:
It might be 96. I don't know
Step-by-step explanation:
8x-24y = 1-x+3y = 1 How do I solve the linear equations using elimination?
the system has not solution
Explanationgiven
\(\begin{gathered} 8x-24y=1\Rightarrow equation(1) \\ -x+3y=1\Rightarrow equation(2) \end{gathered}\)Step 1
a) mutiply equation (2) by 8 to Make the x coefficients of one variable opposites.
\(\begin{gathered} -x+3y=1\operatorname{\Rightarrow}equat\imaginaryI on(2)*8 \\ -8x+24y=8 \end{gathered}\)b) now, add the result to equation(1)
\(\begin{gathered} -8x+24y=8 \\ 8x-24y\text{ }=1 \\ ........................... \\ 0=9\Rightarrow indetermination \end{gathered}\)when we get a indetermination it means the system has not solution , so the answer is
the system has not solution
I hope this helps you
If the roots of ax² + bx + c = 0 differ by 3. Show that b² =9a² + 4ac
Answer:
Step-by-step explanation:
Point B is a point of tangency. Find the radius r of ⊙C.
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
(r+7)^2=r^2+14^2
r^2+14r+49=r^2+196
14r+49=196
14r=147
r=10.5
32. Solve for x: ln() + ln( − 1) = ln(4)a. x=0 or 5b. x=0c. x=5d. x=3e. There is no solution
To solve this question, we will proceed thus:
\(\ln (x)+\ln (x-1)=\ln (4x)\)Simplifying further: (Applying log rules)
\(x(x-1)=4x_{}\)\(x^2-x=4x\)\(\begin{gathered} x^2-x-4x=0 \\ x^2-5x=0 \\ x(x-5)=0 \\ \text{This means that:} \\ x=0\text{ or } \\ x=5 \\ \\ To\text{ verify our solutions, we will put baxk the value of x into the initital } \\ expression\colon \\ \text{When x=0} \\ \ln (0)+\ln (0-1)=\ln (0)\text{ will result in math error:} \\ \text{When x=5} \\ \ln (5)+\ln (5-1)=\ln (4\times5)\text{ this will result in actual solutions} \\ \\ So\text{ with this above test, we can conclude that the correct solution is} \\ x=5 \\ \text{The correct answer therefore is C.} \end{gathered}\)Answer = Option C.
Subtract: (8x + 7) - (4x + 5) *
O4x + 12
O 44-12
O4x + 2
O 44-2
Answer:
4X+2
Step-by-step explanation:
Since there is a negative in front of (4X+5), this will change the signs of both 4x and +5 to (-4X) and (-5) respectively.
This will make the equation look like as follows:-
8X +7 - 4X- 5
Thus on solving we get:-
8X- 4X +7 - 5
= 4X +2
There is a three-digit number. The second digit is four times as big as the third digit, while the first digit is three less than the second digit. What is the number?
There is a three-digit number.The second digit is four times as big as the third digit,while the first digit is three less than the second digit. What is the number?
=Answer: 141
Marko drovev75mile in 1 1/2 hours .how many mile can he he drive in 1 hour
Answer: 50 miles
Step-by-step explanation:
75 miles in one and half hours.
That's 25 miles per half hour
So, in 1 hour, he will drive 50 miles
Select the correct answer from each drop-down menu.
A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches.
9 in i
13 in
Which shape best models the package, and what is the approximate surface area of the package?
The best model for the package is a
The approximate surface area is
square inches.
The approximate surface area of the package is approximately 245.05 square inches.
The best model for the package is a cylinder.
To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height.
The area of the circular base can be calculated using the formula:
Area of Base = \(πr^2\)
Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.
Using the given height of 13 inches, we can now calculate the surface area:
Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches
Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches
To find the total surface area, we add the lateral surface area and the area of the base:
Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches
Therefore, the approximate surface area of the package is approximately 245.05 square inches.
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Kaitlyn spent 2 1/8 at danee class. She spent 3/4 of that time practicing ballet. How much time did she spend on ballet
Answer:
Step-by-step explanation:
Oh yaaa
usuejeieuIeie
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Simplify (−8.5)(−5)( −2).
Answer:
Brainly
Step-by-step explanation:
Answer:
-85
Step-by-step explanation:
Please help!!
Complete the identity
cos^2 θ/2=?
One identity that we can write here is:
cos²(θ/2) = - sin²(θ/2) + 1
How to complete the identity?Here we want to find something that is equal to cos²(θ/2) for every value of theta, that will be an identity.
The general identity for trigonometric functions is:
cos²(θ) + sin²(θ) = 1
So we can rewrite this as:
cos²(θ) = - sin²(θ) + 1
If instead of theta, the argument is theta over two, we could rewrite this as:
cos²(θ/2) = - sin²(θ/2) + 1
That is the identity.
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when potatoes are peeled do you lose more peel when you use big potatoes or small potatoes
Answer:
depends on how you peel it
Step-by-step explanation:
if you peel it with one quick peel, you will have only one
if you do it with 2, you will have 2 peels an so on
The amount of peels will be greater in the bigger potato as compared to the smaller potato.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given data in the question,
There are two potatoes, a small one and a bigger one.
If you peel the bigger one, because of the bigger surface area, you will get more peels as compared to the smaller potato because the surface are is small, and you will get less number of peels.
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I need help really on what they mean shift up on graph like would that be negative or positive
Answer:
Given that,
\(f(x)=\sqrt[3]{x}------(1)\)It is changed to,
\(f(x)=\frac{1}{2}\sqrt[3]{x}+4-----(2)\)To find the transformation the above graph changed.
First the given function is multiplied by the factor 1/2 to the function of x, it results in shrinking the graph vertically by the factor 1/2.
The graph will shrink vertically by the factor 1/2.
Here, the y intercept of equation (1) is 0
y intercept of equation (2) is 4.
Since the function of x is added by 4, the graph is shifted 4 units up.
The graph will shift 4 units up and will shrink vertically by a factor of 1/2.
Answer is: The graph will shift 4 units up and will shrink vertically by a factor of 1/2.
28453 dg a t
porfa ayudenme
pipipipi
Answer:
488
Step-by-step explanation:
You divide 28453 by 58.3053278689 and get 488.
a rectangle's length is 3 inches greater than its width. if the perimeter of the rectangle is 30 inches, find the length. (all answers are given in inches.)
The length of the rectangle is calculated to be 9 inches if the length of the rectangle is 3 inches greater than its width
The formula for the perimeter of a rectangle can be given as follows;
perimeter = 2 ( x + y )
Here x represents length and y represents width;
Since the length of a rectangle is 3 Inches more than its width, therefore;
x = y + 3
Since the perimeter of the rectangle is 30 inches, therefore;
2 ( x + y ) = 30
Simplifying by dividing both sides by 2 as follows;
2 ( x + y ) / 2 = 30 / 2
x + y = 15
As x = y + 3; substituting this value in x + y = 15 as follows;
y + 3 + y = 15
Rearranging;
y + y + 3 = 15
2y + 3 = 15
2y = 15 - 3
2y = 12
y = 12 / 2
y = 6
As x = y + 3
x = 6 + 3
x = 9 inches
Hence the width of this rectangle is 6 inches and the length is 9 inches.
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Find the equation of the line that passes through the given point and has the given slope. (Use x as your variable.) (- 9, - 9), m = 0
Answer:kwbebrhdjejhehe
Step-by-step explanation:
-5/2x-3 is less than or equal to 2 what is the solution.
Answer: 1/4≤x
Step-by-step explanation:
-5/(2x-3)≤2
Multiply by (2x-3)
-5≤4x-6
Add 6
1≤4x
1/4≤x
Hope it helps <3
Answer:
\(x \geq 1/4\)
Step-by-step explanation:
=> \(\frac{-5}{2x-3} \leq 2\)
Multiplying both sides by (2x-3)
=> \(-5 \leq 2(2x-3)\)
=> \(-5 \leq 4x-6\)
Adding 6 to both sides
=> \(-5+6 \leq 4x\)
=> \(4x\geq 1\)
Dividing both sides by 4
=> \(x \geq 1/4\)
Julian wants his tanks to hold 30 gallons of water. The content of saltwater should be 3.5% salt and 96.5% purified water. Set up a proportion to first find the number of gallons of salt mix that should be added. Then use another proportion to find the number of PINTS of aquarium salt mix that Julian should use for 30 gallons of purified water. Round your answer to the nearest tenth. Note there are 8 pints in one gallon. Approximately how many pints of aquarium salt mix should Julian use for 30 gallons of purified water?
Step-by-step explanation:
The 3.5% saltwater means that for every 100 gallons of saltwater, there are 3.5 gallons of salt and 96.5 gallons of purified water. Therefore, to find the number of gallons of salt mix that Julian should add to 30 gallons of purified water, we can set up the following proportion:
3.5 gallons of salt / 100 gallons of saltwater = x gallons of salt / 30 gallons of purified water
Simplifying this proportion, we get:
x = (3.5 gallons / 100 gallons) * 30 gallons / 96.5 gallons
x = 0.01078 gallons of salt mix
To find the number of pints of aquarium salt mix that Julian should use, we can set up another proportion:
1 gallon of salt mix / 8 pints of salt mix = 0.01078 gallons of salt mix / y pints of salt mix
Simplifying this proportion, we get:
y = (0.01078 gallons of salt mix / 1 gallon of salt mix) * (8 pints of salt mix / 1 gallon of salt mix)
y = 0.0862 pints of aquarium salt mix
Rounding to the nearest tenth, Julian should use approximately 0.1 pints of aquarium salt mix for 30 gallons of purified water.
Rewriting 3x^2=6x and solving with rewritten
Answer:
x = 0 , x = 2
Step-by-step explanation:
3x² = 6x ( subtract 6x from both sides )
3x² - 6x = 0 ← factor out 3x from each term
3x(x - 2) = 0
equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 2 = 0 ( add 2 to both sides )
x = 2
solutions are x = 0 , x = 2
Find each product or quotient. Show your work. 1/6×3/4
Answer:
1/8
Step-by-step explanation:
First make the denominator equal
6*4= 24
4*4= 24
6*3= 18
4*1= 4
so now the the equation is
4/24 * 18/24
now multiply
4/24 * 18/24 = 3/24
simplify
3/24 = 1/8