Answer: O 3-7,5, 18, 24, 32}
O {-9, 7, 15, 22, 26}
these two sets are not equal
The set of numbers which are included in the solution set of the compound inequality given is {-7, 5, 18, 24, 32}.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given is a number line which shows the inequality.
On the number line the line which is bolded is the solution set.
Here the integers which are less than or equal to 18 and the integers which are greater than 22 are bolded.
So the solution set consists of numbers which are less than or equal to 18 and the integers which are greater than 22.
So the solution set consists of {-7, 5, 18, 24, 32}.
All other options contains 22, which is not possible.
Learn more about Inequalities here :
https://brainly.com/question/12979397
#SPJ7
In the given figure, OA and OB are opposite rays. If x =75°, find the value of y. Urgentt!!!!
Answer:
105°solution,
X=75°
now,
[tex]y + x = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: y + 75 = 180 \\ or \: y = 180 - 75 \\ y = 105[/tex]
Hope this helps...
Good luck on your assignment.
what's the slope of a line that passes through (-8,-16) and (18,5)?
Answer:
C. 21/26
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in our coordinates:
m = (5 + 16)/(18 + 8)
m = 21/26
Answer:
C. 21/26
Step-by-step explanation:
Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.
Here, our y-coordinates are -16 and 5, so:
5 - (-16) = 5 + 16 = 21
Our x-coordinates are -8 and 18, so:
18 - (-8) = 18 + 8 = 26
Now, we divide: 21/26.
The answer is thus C.
~ an aesthetics lover
Select the correct answer.
What type of transformation does shape A undergo to form shape B?
A. a reflection across the x-axis
B. a translation 3 units right and 1 unit down
C. a 90 degree counterclockwise rotation
D. a 90 degree clockwise rotation
The answer would be D. a 90 degree clockwise rotation.
Hope you do great!
Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1
to 6. Each player chooses one card and rolls the cube to determine the number of spaces to
move on the game board.
What is the probability that Trinity will choose a card greater than 6 and roll a 6 on the
cube?
Done -
The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.
Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.
Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be
[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Six friends, four boys, and two girls went to a movie theater. They wanted to sit in a way so no girl sits on either first or last chair. How many such arrangements are possible?
Answer: 5 valid arrangements
Step-by-step explanation:
This depends on whether the boys or girls swapping places are considered unique solutions. I'm going to assume that is no, because there would be an unrealistic amount of solutions if it is true.
Assuming G = girl and B = boy, these are the possible arrangements.
(I will bold the valid solutions).
GGBBBB
GBGBBB
GBBGBB
GBBBGB
GBBBBG
BGGBBB
BGBGBB
BGBBGB
BGBBBG
BBGGBB
BBGBBG
BBBGGB
BBBBGG
Thus, there are 5 valid arrangements.
Hope it helps <3
Answer:
12 different arrangements because the roles of the girls could be switched around.
Step-by-step explanation:
b = boys
g= girls
1:
bggbbb
2:
bbggbb
3:
bbbggb
4:
bgbbgb
5:
bgbgbb
6:
bbgbgb
Hope this helped! Brainliest would be appreciated :)
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24cm
Calculate the area
Area of a rectangle is 27 cm²
Given:
Perimeter of a rectangle = 24 cm
Length = 3x
Width = x
p = 2(l + w)
24 = 2(3x + x)
24 = 6x + 2x
24 = 8x
24/8 = x
3 = x
Width = 3 cm ; Length = 3x = 3(3) = 9 cm
Area = length * width
= 9cm * 3 cm
Area = 27 cm²
Answer:
Area of a rectangle is 27 cm²
Step-by-step explanation:
Find the number of vertices on this solid.
Answer:
5
Step-by-step explanation:
Vertices are points where lines intersect. A pyramid has 5 vertices.
Answer:
5
Step-by-step explanation:
A square-based pyramid has 5 vertices, 1 on the top and 4 on the base.
Please Help 100 points
Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3?
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.
Answer:
see below
Step-by-step explanation:
-1.1 x + 6.4 >- 1.3
Subtract 6.4 from each side
-1.1 x + 6.4 -6.4 >- 1.3-6.4
-1.1x > -7.7
Divide each side by -1.1, remembering to flip the inequality
-1.1x/-1.1< -7.7/-1.1
x < 7
There is an open circle at 7 and a line going to the left
Hey there! :)
Answer:
C.
Step-by-step explanation:
Given:
-1.1x + 6.4 > -1.3
Subtract 6.4 from both sides:
-1.1x > -7.7
Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.
-1.1x/ (-1.1) < -7.7/(-1.1)
x < 7.
Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.
*PLEASE ANSWER* The radius of a salad bowl is 7.2 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere). a.) 325.72 in2 b.) 651.44 in2 c.) 81.43 in2
Answer:
a) 325.72
Step-by-step explanation:
A=4pir^2
A=4x3,14x7.2x7.2
a=651.44
1/2a=1/2x651.44
=325.72
In how many ways can the letters of the word PROBABLY be arranged using all of the letters?
Answer:
20160
Step-by-step explanation:
If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)
but, there is B which repeated 2 times.
So, 8!/2!
Answer:
20160
Step-by-step explanation:
Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.
So, you have to do 8! / 2! because the 2! is the two B's.
Hope this helps!! :)
The sales tax on clothing in Nebraska is 5.5%. Calculate how much tax you need to pay on a shirt if it costs $36.60 before tax. Round your answer to the nearest cent.(plz answer asap)
Answer:
$2.01.
Step-by-step explanation:
Tax paid = 5.5% * 36.60
= 0.055 * 36.60
= 2.013
Image attached: geometry
===================================================
Explanation:
For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure
exterior angle = 40
We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180
interior angle = 180-(exterior angle) = 180-40 = 140
This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.
--------------------
side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.
simplify -9/6 divided by 3/-2. A: 3 B: 1 C: -1 D: -3
Answer:
B. 1
Step-by-step explanation:
-9/6 ÷ 3/-2
Reciprocal and it becomes multiplication.
-9/6 × -2/3
Multiply the fractions.
18/18
= 1
Answer:
1 is the answerStep-by-step explanation:
-9/6/3/-2
Made the second number the reciprocal =
-9/6 / -2/3
Switch the sign to a multiplication sign =
-9/6 * -2/3
Simplify the numerator =
-9*-2 = 18
Simplify the denominator =
3*6 = 18
Place the numerator and denominator together =
18/18
Simplify the answer =
18/18 = 1
Hope this helped,
Kavitha
If F(x) =5x/3 +5
+5, which of the following is the inverse of F(x)?
O A. F'(x) = 5(x+5)
3
O B. F'(x) = 3(x+5)
5
C. F1(x) = 5(x-5)
O D. F'(x) = 3(-5)
Answer:
[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
Step-by-step explanation:
[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
The inverse of the linear function, f(x), f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is f⁻¹(x) = 3 (x -5) / 5
What is the inverse of a function?The inverse of a function is a function that reverses the effect the original function.
Here, we have,
The original function is; f(x) =5x/3 +5
The inverse of f(x) can therefore be found by making x the subject of the equation as follows;
f(x) = 5x/3 +5
f(x) -5 = 5x/3
(f(x) -5) 3 = 5·x
x = (f(x) -5) 3 / 5
x = 3 (f(x) -5) / 5
Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;
f⁻¹(x) = 3 ((x) -5) / 5
f⁻¹(x) = 3 (x -5) / 5
The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.
Learn more on the inverse of a function here: brainly.com/question/29652632
#SPJ7
A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive. What is the probability that the first two digits in the string are a 4 and a 2 , in that order?
Answer: 0.01.
Step-by-step explanation:
Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.
i.e. each place in 5 digit number has 10 choices.
Total ways to make such a number = [tex]10^5=100000[/tex].
If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000 [as 4 and 2 can be put on first and second place in 1 way ]
Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]
Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.
What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
(5m)² - (2n-3m)³ if m=-3 and n=5
= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3
= (-15)^2 - (10 - (-9))^3
= 225 - (19)^3
= 225 - 6859
= -6634
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Answer:a
Step-by-step explanation:
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
Which triangle is a regular polygon? right triangle equilateral triangle scalene triangle obtuse triangle
Answer:
Step-by-step explanation:
In a regular polygon, all sides and angles are equal.
So, an equilateral triangle is an example for regular polygon
Answer:
equilateral triangle should be the correct answer
Step-by-step explanation:
What is 4.3 as a fraction in simplest form
What is the recursive formula for the geometric sequence with this explicit formula?
Answer:
[tex]a1 = 9 \\ an = a(n - 1) \times ( \frac{ - 1}{3} )[/tex]
What is the number of possible outcomes for the tree diagram below?
w
w
w
A. 8
B. 6
C. 4
0
D. 2
Answer:
4
Step-by-step explanation:
-5/7 times 1/5 please help answer
Answer:
-1/7
Step-by-step explanation:
-5/7 × 1/5
Multiply.
-5/35
Simplify.
-1/7
Answer:
[tex] \frac{ - 1}{7} [/tex]
solution,
[tex] \frac{ - 5}{7} \times \frac{1}{5} \\ = \frac{ - 5 \times 1}{7 \times 5} \\ = \frac{ - 5}{ 35} \\ [/tex]
divide 5 and 35 by 5, you will get:
[tex] = \frac{ - 1}{7} [/tex]
hope this helps...
Good luck on your assignment
Does anyone know this need help! Thanks!
the formula for the circumference of a cirlce is πd. the diameter is 2r which in this case is 0.5. therefore the circumference is 0.5π, or 1.5708 (rounded)
Answer:
C= 157
Step-by-step explanation:
The formula for the circumference of a circle is 2 · pi · r (radius)
So your problem would look something like this:
C= 2 · pi · r
C= 2 · 3.14 · 25
C= 157 in.
Given the equation y ^2 − 4y = 3, what constant must be added to both sides so the left side is the square of a binomial?
Answer:
4
Step-by-step explanation:
y² − 4y = 3
y² - 2*2*y =3
y² - 2*2*y + 2² = 3 + 2²
(y - 2)² = 3 + 4
Which of the following functions best describes this graph
Answer: its c i took the test
Step-by-step explanation:
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY HAVE 20 MINUTES
Answer:x=8 Y=-6
Step-by-step explanation:
14-2.5x=1.5x-18
+18. +18
32-2.5x=1.5x
+2.5x =2.5x
32= 4x
Divide 4 to both sides you get
8=x
Y=14-2.5(8)
Y=14-20
Y=-6
Which statement is true?
A) |-45| = 45 and |-96| = -96.
B) -|-451 = 45 and -|-96| = -96.
C) |-45| = 45 and |-96| = -96.
D) |-45| = 45 and |-96| = 96.
The statement that is true is |-45| = 45 and |-96| = 96.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|-45| = 45
|-96| = 96
-|-45| = - 45
-|-96| = - 96
|-45| = 45
|-96| = 96
|-45| = 45
|-96| = 96
Thus,
|-45| = 45 and |-96| = 96 is true.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
can someone help me solve this problem?
and the answer is 4a + 5
Step-by-step explanation:
the value of a in the second is 1 so 3a + a is 4a
and 3 + 2 is 5Which object tells Word that a formula is being entered into a cell?
equations
O arguments
O equal sign
O formula mask
Answer:
hi
you're answer would be equal sign
hope this answer correct
Answer:
The correct answer is "Equal sign"
Hope this helps....
Pls mark my answer as brainliest :)
Find the reference angle of the following angles:
Answer:
By definition, the reference angle is an acute, hence positive angle that the terminal side of a given angle makes with the x-axis.
In this case, the acute angle is 40º.