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Answer:
interval notation for all numbers except those that are at least -1 and less than 2.
Step-by-step explanation:
The ∪ between the two sets of brackets indicates the "union" of two sets. The brackets on the left indicate the interval ...
-∞ < x < -1 . . . . . for a value represented by x
The curved brackets ( ) indicate the end values of the interval are not included, which is why the < symbol is used, and not the ≤ symbol.
The brackets on the right indicate the interval ...
2 ≤ x < +∞ . . . . . for a value represented by x
The square bracket [ ] is used to indicate the end value is included, which is why the ≤ symbol is used in relation to the end-value 2.
By convention, the interval notation lists the left end of the interval first, and always uses curved brackets for infinity.
after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball
Answer:
7 seconds i think let me know if its wrong
Step-by-step explanation:
NEED ASAP . Plz help
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
Answer:
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
3x2 + 15x = 252
Is it possible for the width of the tray to be 7.5 centimeters?
no it is too large
Step-by-step explanation:
An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the width of the rectangular prism die be represented by x.
Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,
Width = x
Length = x + 5
Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,
Volume = Length × Width × Height
252 = (x + 5) × x × 3
252 = 3x(x+5)
252 = 3x² + 15x
3x² + 15x - 252 = 0
Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
Learn more about Equation:
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Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
n(A)=10
n(B) = 12
n(AUB) = ?
Answer:
n(AUB) = 33
Step-by-step explanation:
U is the 21'st letter of the alphabet so
9 + 1 + 2 + 21 =33
n(AUB) = 33
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
can someone please please help me? with a reasoning? :(
Answer:
a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )
Step-by-step explanation:
a)
3x + y = -5
y = -3x -5
b)
y = 1/3 ( 21 - 9x)
y = -3x + 7
y = 3x + 2.5
the slop is to be same in the parallel lines. slop means m in ( y = mx + c )
so a) & b) are parallel lines. since their m is -3 .
Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.
Answer:
The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs
What is the answer I got it wrong
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
Convert 21.3 feet per minute to yards per minute.
Answer:
7.1 yard per min
Step-by-step explanation:
Evaluate -9x-2 when x =-4
Answer:
34
Step-by-step explanation:
So -9x is 36,36-2=34
Answer:
34
Step-by-step explanation:
-9(-4)-2
36-2
34
There are two polygons. The larger one has three times as many sides as the smaller one.
Its angle sum is four times as big. How many sides does the smaller polygon have?
Answer:
Step-by-step explanation:
There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?
“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.
Its angle sum is four times the smaller one’s. This applies to interior angles.
A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.
A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.
So start at 9.
7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.
18 fits that description.
The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.
18÷6=3, so we have a solution. The smaller polygon can be a hexagon.
We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).
So the 30-gon:
28×180=5040
5040÷4=1260
1260÷180=7
7+2=9
9×3=27
Off by 3.
The 42-gon:
((((((42–2)×180)÷4)÷180)+2)×3)=36
Off by 6. It will keep getting farther away, so we have a unique solution.
what is the weight of a square if a triangle weighs 4 grams? explain your reasoning
Answer:5
Step-by-step explanation:
yh thereu go
Answer:
8 grams
Step-by-step explanation:
u add 2 triangles
Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=
Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
x=8
Y=2
or
(x,y)=(8,2)
Step-by-step explanation:
x+6y=20
x+3y=14
solve the equation for x
x+6y=20
x=14-3y
substitute the given value of x into the equation
x+6y=20
14-3y+6y=20
14+3y=20
3y=20-14
3y=6
3y/3=6/3
y=2.
substitute the given value of y into the equation
x=14-3y
x=14-3×2
x=14-6
x=8.
the possible solution of the system is the ordered pair (x,y)
(x,y)=(8,2)
or
x=8
Y=2
Proof:
Check if the given ordered pair is the solution of the system of equations
8+6×2=20
8+3×2=14
simply the equalities
20=20
14=14
since all of the equalities are true, the ordered pair is the solution of the system
(x,y)=(8,2)
Find the slope of the following graph and Identify the type of
Slope:
Answer:
undefined
Step-by-step explanation:
Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."
−3x+8<15 please help
Answer:x<-7/3
Step-by-step explanation:
Answer: X > -7/3
Step-by-step explanation:
-3x + 8 < 15
subtract 8 from both sides
-3x < 7
divide by negative 3
Also, when dividing or multiplying by a negative you flip the sign.
x > -7/3
Answer :)
Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
−1
1
15
−15
Answer:
The correct answers are: 1 and -15
Step-by-step explanation:
Let a be a point on number line and b be the second point on number line.
The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.
Here
AB = 8
B = -7
We have to look at the options one by one.
For A = -1
As A>B
[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]
For A = 1
As A>B so
[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]
So with A = 1 , AB = 8
This is one of the right answers.
For A=15
As A>B
[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]
For A=-15
As B>A
[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]
As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.
Hence,
The correct answers are: 1 and -15
PLS HELP ME?? The blue dot is what value on the number line?
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
URGENT!! WILL MARK BRAILIEST! GOD BLESS. PLEASE SHOW ALL WORK. The age of Vicky and Krishna total 27 years. In 4 years, Krishna’s age plus twice Vickey’s age will be 43. What are Vickey and Krishna’s ages?
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Answer:
Vickey is 4Krishna is 23Step-by-step explanation:
Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...
(27 -v +4) +2(v +4) = 43
27 -v +4 +2v +8 = 43 . . . . eliminate parentheses
v +39 = 43 . . . . . . . . . . . . . collect terms
v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides
v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age
27 -v = 23 . . . . . Krishna's age
Vickey's age is 4; Krishna's age is 23.
20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an accident, police can use the formula v=25L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
The correct format of the question is
After an accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
Answer:
48.6mi/h, Yes the car was speeding.
Step-by-step explanation:
The speed of the car is given by [tex]v=2\sqrt{5L }[/tex]
Skid length (L) = 118ft
V= [tex]2\sqrt{5*118}[/tex]
= 2 [tex]\sqrt{590}[/tex]
= 2*24.3
V = 48.6mi/h
Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.
PLS ANSWER
An employee's time at work increased from 32 hours per week to 40 hours per week. By what percentage did the
time at work per week increase?
Answer:
You have to take the ratio so you divide the new value on the old value and compare It with 100 so you write
(40)/(32)=(x)/(100)
And this means that x = 125
So the ratio of the increase of the new time is 125%
But the real increase is 125 - 100 = 25%
Seth has game and education apps on his tablet. He noticed that he has 5 game apps for every 2 education apps. Which of the following is another way to write this ratio?
2:3
2:5
3:2
5:2
Question 4(Multiple Choice Worth 3 poi
Answer:
it would be 5:2
Step-by-step explanation:
none of these are equivalent to the ratio and 2:5 would be 2 to 5
Answer:
5:2
Step-by-step explanation:
What is the answer to 4^8/4^3 in 4^n form
Answer:
4^5
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]
[tex] {4}^{8 - 3} = {4}^{5} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
3(x + 1) = −2(x − 1) − 4
6 to the power 4 simplified
Answer:
1296
Step-by-step explanation:
6x6x6x6
6^4
Answer:
6×6×6×6
Step-by-step explanation:
I hope this helps
There are 5 less oranges on the tree today than there was yesterday
Plz help
The no. of apples on the tree today
= The no. of apples on the tree yesterday - 5
Let us take 'the no. of apples on the tree today' as 'x'
and 'the no. of apples on the tree today' as 'y'
Therefore, x = y - 5
Hope this is the thing u are looking for
If f(x) = 5x - 12, find f(x) when x= - 12
Plz answer
Answer:
-72
Step-by-step explanation:
first replace x with -12 so 5(-12)-12
then simplify which makes it -60-12
finally solve that which gives you -72
hope this helps :)
At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?
Answer:
7
Step-by-step explanation:
please help i’m so close to being done :(
Answer:39 i dont im 12 ps out
Step-by-step explanation:
How do you solve n=17
Answer:
uhm chile anyways
Step-by-step explanation:
i just want points lol