Answer:
b. closed circles on 1 and 4 with arrows pointing outward
Step-by-step explanation:
Which of the following describes the graph of {x | x < = 1} u {x | x > = 4},
We have been given the following set;
x < = 1
This set comprises of real numbers that are less than or equal to 1;
(1, 0, -1, -2, -3, -4, .......... -∞)
On the other hand, the set x > = 4 comprises of real numbers that are greater than or equal to 4;
(4, 5, 6, 7, 8, 9, ........∞)
The symbol ∪ means a union of sets. That is the set of numbers that belong in either or both sets;
{x | x < = 1} u {x | x > = 4} is same as writing;
(1, 0, -1, -2, -3, -4, .......... -∞) ∪ (4, 5, 6, 7, 8, 9, ........∞)
Therefore, the solution set will be closed circles on 1 and 4 with arrows pointing outward
Answer:
Closed circles on 1 and 4 with arrows pointing outward ⇒ answer b
Step-by-step explanation:
* Lets study the meaning of the inequality
- If a < x < b, that means the value of x is between a and b
- If a ≤ x ≤ b, that means the value of x is from a to b
- If x < a and x > b, that means the value of x is smaller than a and
grater than b
- If x ≤ a and x ≥ b, that means the value of x is smaller than or equal a and
grater than or equal b
* Now lets solve the problem
∵ {x I x ≤ 1}
∴ x is smaller than or equal 1
∵ {x I x ≥ 4}
∴ x is greater than or equal 4
∵ {x I x ≤1} ∪ {x I x ≥ 4}
- The meaning of ∪ is all numbers smaller than or equal 1 and all
the numbers greater than or equal 4
∴ {x I x ≤ 1} ∪ {x I x ≥ 4} = (-∞ , 1] ∪ [4 , ∞)
- This solution represented graphically by closed circles on 1 and
4 with arrows pointing outward
Part of the graph representing an electrical signal is shown. The voltage rises steadily from an initial value (A) to a maximum value (B). It then drops instantly to the initial value (C) and repeats such that || and and are vertical. If A = (1, 1) and B = (4, 3), what is the equation of ?
A.
-3y − 2x = 5
B.
3y − 2x = 5
C.
3y − 2x = -5
D.
3y + 2x = 5
Answer:
D
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Urgent! Please heeeeeeeeeeeeelp
The formula for area of a triangle is: 1/2 x base x height.
You are given the height of 4 and the area of 4.
Replace those in the formula and solve for x ( base)
4 = 1/2 x base x 4
Divide both sides by 4:
1 = 1/2 x base
Multiply both sides by 2:
2 = base
x = 2
Answer:
2=X
Step-by-step explanation:
The area of a triangle is ..
A=1/2 (b×h)
b=base
h=height
Therefore you must plug in what you know and work backwards
4=1/2 (x×4)
×2=×2
___ _________
8=(x×4)
÷4= ÷4
____ _____
2=x
A clock tower has a circular clock face with an circumference of 144 pi ft
*the top question for the picture btw
Circumference is found by multiplying the diameter by PI.
Since the circumference is given in terms of PI, the diameter is the number given.
The diameter is 144 feet.
Answer:
144
Step-by-step explanation:
when u find curcumference, u multiply the diameter by pi. so to simplify 144(pi), you divide by pi leaving u with 144
big points answer all questions on pic
QUES 1)
Let x denote the gig of data used.
and y denote the monthly charge for use of data
We know that the equation of a line with given slope "m" and y-intercept "c" is given by:
y=mx+c
Runfast--
The monthly charge is: $ 8
and the cost of per gig of data is: $ 8
Since, the cost per gig represent the slope and fixed monthly charge represent the y-intercept.
Hence, the equation that is given by this set of information is:
[tex]y=8x+8---------(1)[/tex]
BA & D--
The monthly charge is: $ 15
and the cost of per gig of data is: $ 4
Hence, the equation that is given by this set of information is:
[tex]y=4x+15-----------(2)[/tex]
QUES 2)
We will substitute the value of y from equation (1) in equation (2) as follows:
8x+8=4x+15
i.e. 8x-4x=15-8
i.e. 4x=7
i.e. x=7/4=1.75
and the value of y is:
y=8×1.75+8
i.e. y=22
Hence, the cost of both the companies are equal when 1.75 gigs of data is used and the cost is: $ 22
( Since , the solution is: (1.75,22) )
Maria put a $50,000 deposit on a house. What is the cost of the house if the deposit is 15% of the total price? Round to the nearest dollar.
Answer:
333,333$
Step-by-step explanation:
15% goes into 100% 6-2/3 times
50,000 x 6-2/3 = 333,333
To find the cost of the house, we can start by setting up an equation. Let \( D \) be the deposit and \( C \) be the cost of the house. We know that the deposit represents 15% of the total cost of the house. Therefore, we can write this relationship as:
\[ D = \frac{15}{100} \times C \]
Given that the deposit \( D \) is $50,000, the equation becomes:
\[ 50,000 = \frac{15}{100} \times C \]
To solve for \( C \), the cost of the house, we will isolate \( C \) on one side of the equation. We can do this by dividing both sides of the equation by 0.15 (which is the decimal representation of 15%):
\[ C = \frac{50,000}{0.15} \]
Now let's calculate this:
\[ C = \frac{50,000}{0.15} = 333,333.\overline{3} \]
The result is approximately $333,333.33. Since we are asked to round to the nearest dollar, we look at the hundredth's place, which is a 3, and since it is less than 5, we round down the dollar amount.
So, the cost of the house rounded to the nearest dollar is $333,333.
2x3 - 5x2 + 3x + 7 = X-2
Let's solve your equation step-by-step.
2x3−5x2+3x+7=x−2
Step 1: Subtract x-2 from both sides.
2x3−5x2+3x+7−(x−2)=x−2−(x−2)
2x3−5x2+2x+9=0
Step 2: Factor left side of equation.
(x+1)(2x2−7x+9)=0
Step 3: Set factors equal to 0.
x+1=0 or 2x2−7x+9=0
x=−1
Answer:
x=−1
The given equation is rearranged into a polynomial equation, and can be solved using methods such as factoring, the quadratic formula, graphing, or completing the square.
Explanation:To solve this question, you first need to set the equation in order. You should arrange it as a quadratic equation (ax²+bx+c = 0). Given equation is:
2x³ - 5x² + 3x + 7 = x-2
We need to simplify this equation by adding '2' on both sides and subtracting 'x' from both sides:
2x³ - x - 5x² + 3x + 1 = 0
Now, it has been transformed into a polynomial equation with the variable x. Solving this kind of equation requires methods such as factoring, quadratic formula, graphing or completing the square.
Learn more about Solving Equations here:https://brainly.com/question/18322830
#SPJ2
Find the length of each leg. Leave an answer in simplest radical form.
Answer:
[tex]x=8\sqrt{2}[/tex] units
Step-by-step explanation:
The given triangle is an isosceles right triangle.
This implies that, the second leg is also x units.
We use the Pythagoras Theorem to obtain:
[tex]x^2+x^2=16^2[/tex]
[tex]2x^2=256[/tex]
Divide both sides by 2; to get
[tex]x^2=128[/tex]
Take positive square root to get:
[tex]x=\sqrt{128}[/tex]
[tex]x=8\sqrt{2}[/tex]
8. If three students in Miss Pagan's class are
sharing a pizza equally, what fraction of the
pizza will each student get?
Answer:
i think you forgot to add how many pizzass they have sorry but without pizzas i cant do nothing
Step-by-step explanation:
Please do it for me if you can
Answer: 25868
Find area of circle, then add to are of rectangle
Answer:
23745 ft²
Step-by-step explanation:
Area of the Rectangle = LW = 146 x 119 = 17374 ft²
Area of 3/4 of a circle = 3/4r²π = 3/4 x 52² x π = 6371.14990148... ≈ 6371 ft²
Total area = 23745 ft²
What is the length of the unknown leg in the right triangle? 6 mm 8 mm mm mm
Answer: 10mm
Step-by-step explanation: You are going to use the "Pythagorean Theorem" method.
Step 1 :
Equation : a^2+b^2=c^2
plug in your data to the equation given. Then simplify and add.
6^2+8^2=C^2
simplify : 36 + 64 = C^2
simplify : 100 = C^2
Step 2 :
Find what goes into 100 evenly.
100 = 10^2 = (10)(10) = C^2
Step 3:
Find the square root of 10^2 = C^2
10 = c
Last Step :
The length of the unknown leg in the right triangle is 10mm
YAY!!!! you're finished! I hope I explained this so it was easy for you to understand.
Answer:
10mm
Step-by-step explanation:
What’s is the mean absolute deviation for 11 of the data set 11 10 9 12 10
Answer: 0.6
Step-by-step explanation:
First you must calculate the mean of the data
The average is:
[tex]{\displaystyle {\overline {x}}}=\frac{11 +10 +9 +12 +10}{5}\\\\{\displaystyle {\overline {x}}}=10.4[/tex]
Now you must calculate the difference between the value 11 and the average
[tex]d = |11-{\displaystyle {\overline {x}}}|\\\\d=|11-10.4|\\\\d=|0.6|\\\\d=0.6[/tex]
The mean absolute deviation is 0.6
Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits.
In the last decade, Ni Hua went skydiving a total of 454545 times in the 191919 islands and peninsulas that he visited.
How many islands and peninsulas did Ni Hua visit?
Choose 1 answer:
A)Ni Hua visited 121212 islands and 777 peninsulas.
B)Ni Hua visited 777 islands and 121212 peninsulas.
C)There is not enough information to determine the exact number of islands and peninsula Ni Hua visited.
D)The given information describes an impossible situation.
Answer:
A) Ni Hua visited 12 islands and 7 peninsulas.
Step-by-step explanation:
If all visits had been to islands, Hua would have skydived 19·2 = 38 times. He actually skydived 45-38 = 7 times more than that. Each peninsula that replaces an island adds 1 skydive to his total, so he must have visited 7 peninsulas.
Hua visited 7 peninsulas and 12 islands.
what is 41/13 written as a decimal and is rounded to the nearest hundredths
Answer: 3.1538461538462
Rounded: 3.15
Step-by-step explanation:
Answer:
3.154
Step-by-step explanation:
Find the value of x, one side is 14, another is 48
It’s 50 you use the Pythagorean theorem
A^2 + B^2 = C^2
48^2 + 14^2 = C^2
2304 + 196 = C^2
2500= c^2
Then square root 2500 and you get 50
A cash register contains $5 bills and $50 bills with a total value of $1060. If there are 32 bills total, then how many of each does the register contain?
Answer:
12 5 dollar bills
20 50 dollar bills
Step-by-step explanation:
Let x = number of five dollar bills
Let y = number of fifty dollar bills
We have a total of 32 bills
x+y = 32
The total amount is 1060
5x+50y = 1060
We have 2 equations and 2 unknowns
x+y = 32
5x+50y = 1060
Multiply the first equation by -5 so we can eliminate x
-5x -5y = -5*32
-5x -5y =-160
Add this to the second equation
5x+50y = 1060
-5x -5y =-160
------------------------
45 y = 900
Divide each side by 45
45y/45 = 900/45
y = 20
There are 20 50 dollar bills
x+y = 32
x+20 = 32
Subtract 20 from each side
x+20-20 = 32-20
x = 12
There are 12 5 dollar bills
Find the area of the shaded region in the figure below
Answer:
Area of 9 cm circle = PI*radius^2 = 254.47
Area of 9 cm sircle = PI*4*4 = 50.27
Are of shaded region = 254.47 -50.27 = 204 sq cm
Answer is the bottom one on the list.
Step-by-step explanation:
This Venn diagram shows sports played by 10 students
Answer:
please upload the complete image once again for better understanding.
Step-by-step explanation:
Answer:
The answer is 4/5
Step-by-step explanation:
1024 cm is equal to how many meters
Centi means [tex]10^{-2}=\frac{1}{100}[/tex] that also means you can write 1024 cm as [tex]1024\cdot\frac{1}{100}[/tex] m.
Now we can simplify the above fraction a little bit.
[tex]
1024\cdot\frac{1}{100}=\frac{1024}{100}=\boxed{10.24}
[/tex]
Which means 1024 cm is 10.24 m.
Hope this helps.
r3t40
There are 100 cm in 1 meter so to convert 1024 cm to meters divide 1024 by 100
1024/100 = 10.24
In 1024 cm there are 10.24 meters
Hope this helped!
~Just a girl in love with Shawn Mendes
What is the probability of landing on an odd number and then landing on a number greater than 5?
Answer:
For any question like this you take the number of ways an event can happen (odd number) and divide by the total number of possibilities (sides of a die). If you assume a six sided die there are 3 odd numbers, 1,3, 5. And 6 total sides, so 3/6 = 1/2 or 50%.
Step-by-step explanation:
Final answer:
The probability of rolling an odd number and then a number greater than 5 on a six-sided die in sequence is calculated by multiplying the two independent probabilities, resulting in a combined probability of 1/12.
Explanation:
The student wants to know the probability of landing on an odd number and then landing on a number greater than 5 when rolling a six-sided die. To solve this problem, we need to consider the two separate events independently and then calculate the combined probability.
First, let's consider the probability of landing on an odd number. There are three odd numbers on a die: 1, 3, and 5. Since each outcome is equally likely, the probability is the number of favorable outcomes over the number of possible outcomes, which is P(odd number) = 3/6 = 1/2.
Next, we calculate the probability of landing on a number greater than 5, which is only one number, 6. So, P(number > 5) = 1/6.
To find the probability of both events happening in sequence, we multiply the two probabilities: P(odd number) * P(number > 5) = (1/2) * (1/6) = 1/12. Therefore, the probability of rolling an odd number and then a number greater than 5 is 1/12.
Rochelle bought 4 pieces of ribbon to finish a project. Each puece was 1 5/12 yards long. What is the combined length of the ribbon she bought?
Answer:
is it 15/12 or a mixed fraction
Which of the following best describes a square root?
A. A factor of a number that, when subtracted from itself, gives the
number
O
B. A factor of a number that, when multiplied by itself, gives the
number
O
C. A factor of a number that, when divided by itself, gives the number
D. A factor of a number that, when added to itself, gives the number
Answer: the answer is c
Answer:
B. A factor of a number that, when multiplied by itself, gives the number
Step-by-step explanation:
[tex]y^{2} =a[/tex]
in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a
Reduce -8 + b^2 by 5 + b^2
Answer:-13
Step-by-step explanation:
-8 + b^2 - 5 - b^2
=============
-13
Answer:
-13 __________________________
Step-by-step explanation:
In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?
8
8√2
8√3
Answer:
8_/3
Step-by-step explanation:
tan60=arc/8
arc=8×_/3=8_/3 ans
Answer:
Its 8. I just did this lesson and got it right.
Step-by-step explanation:
can someone please help me.
the answers to choose from are
A. 2
B. 30
C. 38
D. 45
The answer is c
If it was around 25.2 at 12
6 hour later it would have been 12 1/2 more or more
And 25+12=37 and u round it off to 38
And therefore your answer is 38
Given h(t)=-2((-8)+5)•2+4 find h(-8)
Answer:
36
Step-by-step explanation:
-2 ((-8) + 5) * 2+4
(16 - 10) * (2+4)
6 * 6
36
At a car and truck dealership the probability that a vehicle is white is 0.25 the probability that it is a pickup truck is 0.15 the probability that it is a white pickup truck is 0.06 what is the probability that a vehicle is white given that the vehicle is a pick up truck round your answer to two decimal points
Step-by-step Answer:
Given:
W=vehicle is White
T=vehicle is a pick-up Truck
P(W and T)=0.06
P(W)=0.25
P(T)=0.15
We need the conditional probability that a vehicle is white, given that it is a pick-up truck:
P(W | T)
= P(W and T) / P(T)
= 0.06 / 0.15
=0.4
Answer:
0.40
Step-by-step explanation:
Use the table to identify values of pand a that can be used to factor
x2 + x - 12 as (x + p)(x+q).
Answer:
D. -3 and 4
Step-by-step explanation:
-12 = -3 x 4
-3 + 4 = 1
so
x^2 + x - 12
= (x - 3)(x + 4)
Answer
D. -3 and 4
ANSWER
D. -3 and 4
EXPLANATION
The given quadratic trinomial is
[tex] {x}^{2} + x - 12[/tex]
To factor this we need to find two factors of -12 that sum up to 1, the coefficient of x.
We can see from the table that, when p=-3 and q=4, then p+q =1.
The trinomial can now be factored as:
[tex] {x}^{2} + x - 12 = (x - 3)(x + 4)[/tex]
The correct answer is D.
Please help me with this question please
Answer:
1 Goes with A. 2 Goes with C. 3 Goes with B.
Step-by-step explanation:
I counted them lol
Evaluate 6+4/a+b/3 a=4 b=3
Answer:
8
Step-by-step explanation:
6+4/4+3/3=8
For this case we have the following expression:
[tex]6+ \frac {4} {a} + \frac {b} {3}[/tex]
We must evaluate the expression when:
[tex]a = 4\\b = 3[/tex]
Substituting in the expression:
[tex]6+ \frac {4} {4} + \frac {3} {3} =\\6 + 1 + \frac {3} {3} =\\6 + 1 + 1 =\\7 + 1 =\\8[/tex]
ANswer:
The value of the expression when[tex]a = 4[/tex] and [tex]b = 3[/tex], is 8
Solve 2/3x> 8 or 2/3x< 4
Answer:
x > 12
Answer for 2/3>8
Answer:
x within the domain (-∞,0) ∪ (0,1/12) ∪ (1/6,∞)
Step-by-step explanation:
Let's find the solution by modifying the conditions like this:
First condition:
2/3x > 8
Notice that x needs to be a positive number because if x is negative number the expression 2/3x is always negative, and the given condition will be false. Also, x can't be 0 because dividing by 0 is not allowed.
Multiplying the first condition in both sides by (3x/2) we obtain:
(2/3x)*(3x/2) > 8*(3x/2) equal to:
1 > 12x, which dividing by 12 in both sides is:
1/12 > x, which means a domain: (0,1/12)
Second condition:
2/3x < 4
Notice that if x is negative, the expression (2/3x) is always negative, so the second condition will be always true, so negative numbers are not a problem for this conditions.
Let's find the highest positive number which allows the second condition to be a true statement.
Multiplying the second condition in both sides by (3x/2) we obtain:
(2/3x)*(3x/2) < 4*(3x/2) equal to:
1 < 6x, which dividing by 6 in both sides is:
1/6 < x which means a domain: (-∞,0) ∪ (1/6,∞), notice that 0 is not in the domain because dividing by 0 is not allowed, but also as mentioned before negative numbers makes the statement true.
Notice that the problem uses the word OR (condition one or condition two), which means that we need to create a domain for x which allows that always at least one condition is true.
Adding the x domains for the two conditions we obtain:
(-∞,0) ∪ (0,1/12) ∪ (1/6,∞); notice that all the boundary numbers are not included.
In conclusion, the statement 2/3x>8 or 2/3x<4 is true for x within the domain (-∞,0) ∪ (0,1/12) ∪ (1/6,∞).