The required solution in interval notation is [−5,2].
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Set of such values is called solution set to the considered equation or inequality.
Assuming we want to solve for x the result can vary.
We are given to find the solution to the following compound inequality in interval notation.
Inequality Form:
−5 ≤ x ≤ 2
Thus, the required solution in interval notation is [−5,2].
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Let sin(2x)-sin(x)=0, where 0 ≤ x < 2pi. What are the possible solutions for x?
Step-by-step explanation:
sin2x - sinx = 0
2sinxcosx - sinx = 0
(Double Angle Formula)
sinx(2cosx - 1) = 0
Either sinx = 0 or cosx = 1/2.
When sinx = 0,
x = 0 or x = π.
When cosx = 1/2,
x = π/3 or x = 5π/3.
Hence the solutions are
x = 0, x = π/3, x = π or x = 5π/3.
tan 235° = 2tan20°+ tan215°
Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
Carlo places 6 apple slices on one side of a pan balance and 12 orange slices on the other side. Each side weighs 48 grams.
What is the weight of one apple slice? One orange slice?
Answer:
apple slice = 8 grams
orange slide = 4 grams
Step-by-step explanation:
48/6 will give you the weight of each apple slice
48/12 will give you the weight of each orange slice
(6x - 6.3) divided by 3
Step-by-step explanation:
We can represent the terms like this:
6x = 3 * 2x6.3 = 3 * 2.1Therefore, (6x - 6.3) / 3
= [(3)(2x) - (3)(2.1)] / 3
= 2x - 2.1.
Answer:
Terms of the equation is :---
6x/3 = 2x and 6.3/3 = 2.1
According to the given problem,
[tex] \frac{(6x - 6.3)}{3} = \frac{3(2x - 2.1)}{3} = \boxed{2x - 2.1} ✓\\ [/tex]
(2x+2.1) is the right answer. ★plssssssssssssss help this quiz is timed Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Answer:
90 degrees
Step-by-step explanation:
90 degrees hhgffdfkgdf
Answer:
90 degrees clockwise rotation
Step-by-step explanation:
Because
A random sample of Maxwell High School students showed that 7 out of every 12 students ride the bus to school . Maxwell High School has a total of 840 students . Based on the sample , how many students most likely ride the bus to school ?
Plsss fast
We would expect about 490 students to ride the bus to school based on the sample
What is random sampling?It is the way of choosing a number of required items from a population given.
Each item has an equal probability of being chosen.
We have,
If 7 out of every 12 students ride the bus to school, then the proportion of students who ride the bus is 7/12 or approximately 0.5833.
If we assume that this proportion holds true for the entire school, then we can estimate the number of students who ride the bus as follows:
Number of students who ride the bus = Proportion who ride the bus x Total number of students
Number of students who ride the bus = 0.5833 x 840
Number of students who ride the bus = 489.99
Since we cannot have a fractional number of students, we would round this estimate to the nearest whole number.
Thus,
We would expect about 490 students to ride the bus to school based on the sample
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Imagine that you live near a skatepark. As part of some park renovations, the city plans to make the square skatepark 5 meters shorter in one direction and 6 meters longer in the other. What is the area of the new skatepark?
(please include the solving steps in your answer)
Answer:
x² + x - 30Step-by-step explanation:
Let the initial side be x
New skatepark has dimensions:
x - 5 and x + 6Its area is:
(x - 5)(x + 6) = x² + 6x - 5x - 30 = x² + x - 30Part A
Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones? Type your answer in scientific notation.
Part B
How many combined bits of storage do Theresa’s parents have on their phones? Type your answer in scientific notation.
Part C
How many combined bits of storage are there on the two tablets?
Part D
Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether? Type your answer in scientific notation.
Part E
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage? Type your answer in scientific notation.
Answer:part A including SD cards, Theresa and Ruben have 2.624 x 10^11 bits of storage.
Part b :32 bits
Step-by-step explanation:sorry that's all I know
Hope I helped
The required, solution of the given numeral in scientific notation is shown.
What is scientific notation?Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.
Here,
Part A: Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones?
Answer: 6.4 × 10¹¹ bits
Part B: How many combined bits of storage do Theresa’s parents have on their phones?
Answer: 2.4 × 10¹¹ bits
Part C: How many combined bits of storage are there on the two tablets?
Answer: 3.6 × 10¹⁰ bits
Part D: Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether?
Answer:6.9 × 10¹² bits
Part E: Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage?
Answer:8.6 × 10¹² bits
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What is the equation in slope-intercept form of the line that crosses the y-axis at 6 and is perpendicular to the line represented by y= (-4/9)x+5?
Answer:
y=(9/4)x+6
Step-by-step explanation:
If it crosses at 6 then it will be +6. A perpendicular line has a slope that is the opposite reciprocal of your current slope.
Solve for the value of s.
Answer:
6s+2=4s-2
-4s -4s
2s+2=-2
-2 -2
2s=0
/2 /2
s=undefined or x=0
Use the distributive property to match equivalent expressions.
-7(4 + x)
-28 + 2x
7(4 + x)
28-7X
7(4-x)
28 +7x
-7(4x)
-28-7x
Intro
Done
Answer:
by distributing you need to multiple by using the 7 in front and use that 7 to multiply each number inside
1. -7(-4+x) -> 28-7x
2. 7(4+x) -> 28+7x
3. 7(-4-x) -> -28-7x
4. -7(4-x)-> -28+7x
What is the value of x?
A. 6
B. 5
c. 4
D.3
Answer:
D
Step-by-step explanation:
CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is
[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )
3x = 9 ( divide both sides by 3 )
x = 3 → D
PLEASE HELP WILL GIVE BRAINLIEST! Solve |3x – 1| = |x+1| by graphing.
it wold be (0,1) and (2,3)
Answer:
Step-by-step explanation:
Help please! It’s due at 11pm!
Answer:
it's -7 + 5= -2 I think im not sure
Bought an antique for $25. He would it for 30% more than what he paid.
Answer:
$32.50
Step-by-step explanation:
multiple 25 by 30 then divide it by 100 then add your 7.5 to 25 and that's ur answer
what is the answer for this y=__x+__
What’s the X coordinate of the vertex
Step-by-step explanation:
f(x) = (x + 3)(x - 5)
In a Quadratic curve, the x-coordinate of the vertex is equidistant to the x-intercepts. (If they exist)
In f(x), our x-intercept are x = -3 and x = 5.
=> (-3 + 5)/2 = 1.
Hence the x-value of the vertex is 1.
Devon forgets to pay his credit card bill for three months. Which of the following statements is TRUE? *
1. A Late Payment fee will not be charged to his account.
2. A Balance Transfer fee will be charged to his account.
3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.
4. His A.P.R. (interest rate) will rise to 30.24% and stay there until he makes six consecutive minimum payments .
The answer is 3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.
help for brainlest what can be use ti
Answer:
2x(5+13)
Step-by-step explanation:
add then multiply by 2
Answer:
to find perimeter
= 2(L+w)
= 2(5+13)
10+26
36
so the answer is 2×(5+13)
hope it's helpful ❤❤❤❤
THANK YOU.
Leah wants to figure out how many notebooks are in her class. She knows 2 points
that twenty-six less than two times the number of notebooks equals 10.
Write an equation to represent the number of notebooks. *
A. 2x+26=10
B. -26=10x
C. 26-2x=10
D. 2x-26=10
PLEASE HELP I ONLY HAVE 30 MINUTES
Answer: D
The answer is D
What is the prouduct of the number p and 12
[tex] \frac{p}{12} [/tex]
hope it helps u
the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.
Answer:
approximately 684 employees
Step-by-step explanation:
So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,
[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].
After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.
Solve the formula a(m+r) -t=s for a.
9514 1404 393
Answer:
a = (s +t)/(m +r)
Step-by-step explanation:
Add t, then divide by the coefficient of 'a'.
[tex]a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}[/tex]
greta has piece of cloth that is 9 yards long she cut it into pieces that are each 1\3 how many pieces does greta have now
Answer:
27
Step-by-step explanation:
9 divided by 1/3 is 27
Hello Guys will ya'll pls help me with these
quiestions...?
Answer:
I'll help you with this so reflections is not hard.
For reflect over x-axis you need to switch the sign on Y. formula for points like this is (x,y). An example is reflect (2,4) over the x-axis. you just change the sign of y making the answer (2,-4).
For reflect over y-axis you change the sign of X.For example reflect over the y-axis (3,7) all you have to do is change the sign of X which leaves you with the answer of (-3,7).
sign is basically + or - if need to know.
I hope this helps you in the long run.
the value of a car is 30,000$ it loses 6.5% of its value each year. What will the value of the car be after 5 years
Answer:
6.5 x 5=32.5
67.5/100 x 30,000= $20,250
There are 12 girls and 18 boys in a class. What is the largest number of groups they can be split into and have the same number of boys and girls on each team?
12 cause that is the max amount of girls and there is no other way to get the groups even if you go over.
If 4x+ 3 = 9x − 4, then x = ?
F. 75 G. 57 H. 713 J. 15 K. −15
Answer:
Step-by-step explanation:
Jhbiko
Answer:
7/5
Step-by-step explanation:
4x+3=9x-4
3=9x-4-4x
3=5x-4
3+4=5x
7=5x
7/5=x
x= 7/5
is this one of the choices I hope it helps.
To map △PQR onto △STU, there must be a factor k that reduces △PQR.
Find each length.
PQ = 5
QR = 7
ST = 5
TU = 5
Step 2 out of 5:
If kPQ = ST, then k =
Answer: k=1
Step-by-step explanation: PQ already equals ST
3x + 2y = -9
X – Y = -13
Answer:
x =-7. .y=6
Step-by-step explanation:
3x + 2y = -9
(X – Y = -13)×3
3x + 2y = -9
3x – 3y = -39
5y = 30
y=6
3x +2(6)=-9
3x=-21
x=-7
